NHM Mixed Age Planning Year 2 and Year 3 Spring Term Mixed Age Planning Year 4 & Year 5 Autumn Term Unit Framework topic Objectives: children will be taught to… NHM Topic NHM Section Read and write whole numbers to at least 10000 in figures and words, and know what each digit represents. Numbers to 10 000 Number names, ordinal numbers 4 Place value, ordering, estimating, rounding Reading numbers from scales 5 Place value, ordering and rounding Using a calculator Read and write whole numbers in figures and words, and know what each digit represents. Recognise and extend number sequences formed by counting from any number in steps of constant size, extending beyond zero when counting back. For example: count on in steps of 25 to 1000, and then back. Develop calculator skills and use a calculator effectively. Numbers to Millions Number sequence to millions 1 3days Teaching File page Pupil Sheets Textbook page Home Activities Check-ups 7-11, 62-68 9 7-8 2 2 36-42 N.G. Shortcut 1 N.L. Shortcut 1 1-6 1-3 1 1 MATERIALS TOOLBOX Extension book page Resource Sheets 19, 35-38 4 5 NHM Mixed Age Planning Page 1 of 68 Downloaded from www.myprimary.co.uk NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 1 Starter Main Teaching Core Activities Year 4 Year 5 Tune-in TF 62 Fun Run Revising number names to 1000 Tune-in TF 36-37 Number sequence to 10 000 The number after/before/between and 1,2 more/less than 1 More runners TF 63 Extending number names to 1000 1 Number sequence to 10 000 TF 37-38 Consolidating sequences in tens/hundreds/thousands 2 Number names for multiples of 1000 TF 64-65 Pupil Activities TF 66 1 Pupil Sheet 9 Number words and numerals Additional Resources Teacher Notes Pupil Activities TF 38 1 Pupil Sheet 1 Sequences in tens/thousands 3 Pupil Sheet 3 Sequences in thousands Support Consolidate reading and writing number names to 1000 and for multiples of 1000. Pupil Activities TF 38 1 Pupil Sheet 1 Sequences in tens/thousands Extension Pupil Activities TF 66 1 Pupil Sheet 9 Number words and numerals 2 Writing digits in 4-digit numbers Plenary Consolidate reading and writing number names to 1000 and for multiples of 1000. Pupil Activities TF 38 2 Pupil Sheet 2 Template Put a mixture of sequences on the sheet that include steps of 10, 500 and 1000. Give children examples of sequences to 10000 to complete orally. Additional notes Extra Resources Review NHM Mixed Age Planning Page 2 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 2 Starter Year 4 Year 5 Specific Starter for Numbers to 10000 TF 7-11 Specific Starter for Numbers to millions TF 7-11 Main Teaching 3 Number names for 4-digit numbers TF 65-66 Core Activities Pupil Activities TF 66 2 Writing digits in 4-digit numbers 3 Making and writing 4-digit numbers 1 Number sequence to 10 000 TF 37-38 Consolidating sequences in tens/hundreds/thousands Textbook pages 1-2 TF 42 Support Extension Plenary Textbook page 7 TF 68 Pupil Activities TF 66 1 Pupil Sheet 9 Number words and numerals Pupil Activities TF 66 3 Making and writing 4-digit numbers As each pupil selects four cards ask them to make the largest number they can. Recording (in words) only the numbers they create, ask each child to use a calculator to find the total of all their numbers. The highest total wins. Follow-up for Textbook page 7 TF 68 Additional Resources Teacher Notes Textbook pages 1-2 TF 42 Ask pupils to complete Pupil Sheet 3 first and then try to answer as many questions as possible on the textbook page with a partner. Textbook pages 1-2 TF 42 Give pupils Pupil Sheet 2. Ask them to make up their own sequence questions and swap with a partner to solve. Follow-up for Textbook pages 1-2 TF 42 Home Activity 2 Additional notes Extra Resources Review NHM Mixed Age Planning Page 3 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 3 Starter Main Teaching Core Activities Support Year 4 Year 5 Specific Starter for Numbers to 10000 TF 7-11 Specific Starter for Numbers to millions TF 7-11 4 Castle visitors TF 66-67 Introducing ordinal number names thirtieth, fortieth …hundredth and notation 30th, 40th … 100th Textbook page 8 TF 68 2 Number sequence to millions TF 39-41 Introducing numbers with five/six/seven/eight digits Pupil Activities TF 41 1 Pupil Sheets 4 Sequences using 5and 6- digit numbers 3 Pupil Sheet 6 Sequences using 7and 8-digit numbers Textbook page 3 TF 42 Pupil Activities TF 41 1 Pupil Sheets 4 Sequences using 5and 6- digit numbers Textbook page 8 TF 68 With the pupils as a group create a display of the ordinal names tenth, twentieth, … hundredth before they do the page. Additional Resources Teacher Notes If there are pupils who will struggle with numbers of this size, use Pupil Sheet 5 to give further practice of sequences to 10 000. Pupil Activities TF 41 4 Pupil Sheet 5 Template Provide a mixture of sequences using 5, 6, 7 and 8-digit numbers and a variety of step sizes Extension Textbook page 8 TF 68 In pairs give the pupils a set of 1 – 100 number cards. Ask them to select 10 cards, write in figures and words the equivalent ordinal numbers and then order them from smallest to largest. Plenary Follow-up for Textbook page 8 TF 68 Follow-up for Textbook page 3 TF 42 Check-up 2 Home Activity 1 Check-up 1 Additional notes Extra Resources Review NHM Mixed Age Planning Page 4 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Mixed Age Planning Year 4 & Year 5 Autumn Term Unit Framework topic 2 4 Understanding + and Mental calculation strategies (+ and ) 5days Pencil and paper procedures (+ and ) Making decisions and checking results Understanding x and 5 Mental calculation strategies (x and ) Pencil and paper procedures (x and ) Money and ‘real life’ problems Making decisions and checking results, including using a calculator Teaching File page Objectives: children will be taught to… NHM Topic NHM Section Consolidate understanding of relationship between + and -. Count on or back in repeated steps of 1, 10 or 100. Partition into tens and units, adding the tens first. Identify near doubles, using known doubles (e.g. 150 + 160). Add or subtract the nearest multiple of 10, then adjust. Continue to use the relationship between addition and subtraction. Add 3 or 4 small numbers, finding pairs totalling 10, or 9 or 11. Add three two-digit multiples of 10, such as 40 + 70 + 50. Use known number facts and place value to add or subtract mentally, including any pair of two-digit whole numbers. Use informal pencil and paper methods to support, record or explain additions/subtractions. Multiply and divide any positive integer up to 10000 by 10 or 100 and understand the effect (e.g. 9900 ÷ 10, 737 ÷ 10, 2060 ÷ 100). Understand the effect of and relationships between the four operations, and the principles (not the names) of the arithmetic laws as they apply to multiplication. Know by heart all multiplication facts up to 10 × 10. Use closely related facts (e.g. multiply by 19 or 21 by multiplying by 20 and adjusting; develop the ×12 table from the ×10 and ×2 tables). Partition (e.g. 47 × 6 = (40 × 6) + (7 × 6)). Use the relationship between multiplication and division. Use known facts and place value to multiply and divide mentally. Solve simple problems using ideas of ratio and proportion ('one for every...' and 'one in every...'). Choose and use appropriate number operations to solve problems, and appropriate ways of calculating: mental, mental with jottings, written methods, calculator. Explain methods and reasoning, orally and in writing. Develop calculator skills and use a calculator effectively. Check with the inverse operation when using a calculator. Check with an equivalent calculation. Addition to 1000 Addition to 100: mental strategies Multiplication Multiplication by 10, 100 Mental strategies Pupil Sheets Textbook page Home Activities Check-ups 11-12 11-14 3 4 6, 19-25, 34 18-19 35-41 9-11 11-13 5-6, 16-23, 55-57 MATERIALS TOOLBOX 11-16, 84-91 4 5 132-143 M.F Shortcut 1 NHM Mixed Age Planning Page 5 of 68 Extension book page Resource Sheets Downloaded from www.myprimary.co.uk NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 1 Starter Year 4 Year 5 Tune-in TF 84 Number rows Tune-in TF 132 Multiplying by 10 Revising multiplication of a two/three-/four-digit number by 10 Main Teaching 1 Revising addition involving two-digit multiples of 10 TF 85 1 Multiplying a two-/three-digit number by 100 TF 132-133 Core Activities Pupil Activity TF 85 1 Pupil Sheet 11 A multiple of 10 and a two-digit number Pupil Activities TF 133-134 1 Multiplication game Pupil Activity TF 85 1 Pupil Sheet 11 Pupil Activities TF 133-134 1 Multiplication game Prepare a set of answer cards to each question. Place the cards face up on the table. Ask pupils to work in pairs to match up questions and answers. Pupil Activities TF 133-134 2 Find my number Support Extension Plenary With the pupils as a group do further questions adding two multiples of 10 before doing the sheet. Pupil Activity TF 85 1 Pupil Sheet 11 Give each pair of pupils a set of multiple cards from 10 to 90 and a set of two-digit numbers cards. Take turns to select one card from each set and read out the two numbers. Their partner must find the total mentally. Discuss children’s work. Additional Resources Teacher Notes Textbook page 35 TF 135 Follow-up for Textbook page 35 TF 136 Additional notes Extra Resources Review NHM Mixed Age Planning Page 6 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 2 Starter Year 4 Year 5 Specific Starter for Addition to 1000 TF 11-16 Specific Starter for Multiplication TF 19-22 Main Teaching 2 Pairs TF 86 Finding pairs of two-digit numbers which total 100 or 60 2 Multiplying a two-digit multiple of 10 by a three-digit multiple of 100 TF 134-135 Core Activities Pupil Activity TF 86 1 Pupil Sheet 12 Pairs totalling 100, 60 Pupil Activity TF 135 1 Finding products Support Pupil Activity TF 86 1 Pupil Sheet 12 On the board write a set of numbers less than 40. For each number, ask pupils to write down the number which makes it total 40. Repeat for 30 and 50. Pupil Activity TF 86 1 Pupil Sheet 12 Pairs totalling 100, 60 Give pupils a set of two-digit number cards less than 80. Ask them to select a card and write down the number which makes the card number up to 80. Repeat for 70 and 90. Discuss children’s work. Extension Plenary Additional Resources Teacher Notes Textbook page 36 TF 135 Pupil Activity TF 135 1 Finding products Provide pupils with two sets of cards, set 1 containing multiples of ten, 50 or less and set 2 multiples of 100, 500 or less. Pupil Activity TF 135 1 Finding products Give pupils a stopwatch. Ask them to time how long it takes to do 5 questions. Ask them to do another 5 and see if they can beat their time. Follow-up for Textbook page 36 TF 136 Home Activity 9 Check-up 11 Additional notes Extra Resources Review NHM Mixed Age Planning Page 7 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 3 Starter Main Teaching Core Activities Year 4 Specific Starter for Addition to 1000 TF 11-16 Tune-in TF 137 Three-in-a-row Revising multiplication tables facts 3 Double-up TF 86-87 Addition doubles from 20 + 20 to 50 + 50 4 Near doubles TF 87-88 Pupil Activity TF 88 1 Card doubles 1 Multiplying by 6, 7, 8 and 9 TF 138 Textbook page 11 TF 91 Extension Pupil Activity TF 88 1 Card doubles Place the cards face up and work as a group to match them successfully. Pupil Activity TF 88 1 Card doubles Create five more pairs of cards to give a total of ten cards in each set with which to play the game. Plenary Follow-up for Textbook page 11 TF 91 Support Year 5 Additional Resources Teacher Notes Pupil Activities TF 138-139 1 Tables facts 2 Tables bingo Ask pupils to make bingo cards with stations from the 6, 7, 8 and 9 times tables and provide an appropriate call card. Textbook pages 37-39 TF 142 Pupil Activities TF 138-139 1 Tables facts 3 Tables facts Pupil Activities TF 138-139 4 Tables snap Ask pupils to make cards for a mixture of the 6, 7, 8 and 9 times tables and use them to play Snap or Pelmanism. Follow-up for Textbook pages 37-39 TF 143 Home Activity 10 Check-up 12 Additional notes Extra Resources Review NHM Mixed Age Planning Page 8 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 4 Starter Year 4 Year 5 Specific Starter for Addition to 1000 TF 11-16 Specific Starter for Multiplication TF 19-22 Main Teaching 5 Adding two-digit numbers with bridging TF 88-89 2 Multiplying a two-digit number by a single digit TF 139-140 Core Activities Textbook page 12 TF 91 Pupil Activity TF 140 1 Pupil Sheet 18 A two-digit number by a single digit Support Textbook page 12 TF 91 Provide a 0 – 100 number line for support. Extension Textbook page 12 TF 91 Ask the pupils to answer all the questions mentally and time themselves to see how quickly they can find all the answers. Ask them to explain to each other how they found each answer. Plenary Follow-up for Textbook page 12 TF 91 Home Activity 3 Additional notes Extra Resources Review NHM Mixed Age Planning Additional Resources Teacher Notes Textbook page 40 TF 143 Pupil Activity TF 140 A two-digit number by a single digit Work with pupils as a group and decide what should be put in the first boxes for each question. Ask them to complete the remainder of each question independently. Pupil Activity TF 140 1 Pupil Sheet 18 A two-digit number by a single digit Give pairs of pupils a set of twodigit number cards. Ask them to take it in turns to select a card. They must then challenge their partner to multiply the number by 3, 4, 5, 6, 7, 8 or 9. Using a calculator to check answers, each correct solution scores a point. Follow-up for Textbook page 40 TF 143 Page 9 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 5 Starter Year 4 Year 5 Specific Starter for Addition to 1000 TF 11-16 Specific Starter for Multiplication TF 19-22 Main Teaching 6 Snakes and ladders TF 89-90 Adding several small numbers 3 Multiplying by 19 and 21 TF 140-141 Core Activities Textbook pages 13-14 TF 91 Pupil Activities TF 141 1 Pupil Sheet 19 A teens number by 19, 21 2 Product game Support Extension Textbook pages 13-14 TF 91 Provide a 0 – 100 number line for support. Work through the page orally with the pupils as a group before asking them to do it independently. Textbook pages 13-14 TF 91 Ask pupils to find all the solutions possible for q3. Working in pairs ask them to choose other sets of numbers to find, e.g. all the pairs of numbers which are even and have a difference greater then 15. Plenary Follow-up for Textbook pages 13-14 TF 91 Follow-up for Textbook page 41 TF 143 Check-up 4 Home Activity 11 Check-up 13 Additional Resources Teacher Notes Textbook page 41 Pupil Activities TF 141 1 Pupil Sheet 19 A teens number by 19, 21 Pupil Activities TF 141 2 Product game Give pupils number cards from 21 to 99 to select from. Additional notes Extra Resources Review NHM Mixed Age Planning Page 10 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Mixed Age Planning Year 4 & Year 5 Autumn Term Unit Framework topic 4 3 Understanding + and Mental calculation strategies (+ and ) 5days Pencil and paper procedures (+ and ) Making decisions and checking results 5 Understanding x and Mental calculation strategies (x and ) Pencil and paper procedures (x and ) Money and ‘real life’ problems Making decisions and checking results, including using a calculator Objectives: children will be taught to… NHM Topic NHM Section Consolidate understanding of relationship between + and -. Understand the principles (not the names) of the commutative and associative laws as they apply or not to addition and subtraction. Count on or back in repeated steps of 1, 10 or 100. Add or subtract the nearest multiple of 10, then adjust. Continue to use the relationship between addition and subtraction. Use known number facts and place value to add or subtract mentally, including any pair of two-digit whole numbers. Use informal pencil and paper methods to support, record or explain additions/subtractions. Check with the inverse operation. Check the sum of several numbers by adding in reverse order. Check with an equivalent calculation. Use knowledge of sums or differences of odd/even numbers. Subtraction to 1000 Subtraction to 100: mental strategies Multiply and divide any positive integer up to 10000 by 10 or 100 and understand the effect (e.g. 9900 ÷ 10, 737 ÷ 10, 2060 ÷ 100). Derive quickly or continue to derive quickly: division facts corresponding to tables up to 10 × 10 Use the relationship between multiplication and division. Use known facts and place value to multiply and divide mentally. Choose and use appropriate number operations to solve problems, and appropriate ways of calculating: mental, mental with jottings, written methods, calculator. Explain methods and reasoning, orally and in writing. Develop calculator skills and use a calculator effectively. Check with the inverse operation when using a calculator. Check with an equivalent calculation. Division Dividing by 2-10, 100, 1000 Teaching File page Pupil Sheets Textbook page Home Activities Check-ups 17-20, 122-129 22, 96 25-28 7 7 5, 19-25, 34, 39 166-171 M.F Shortcut 1 26-27 47-50 12 14 7-8, 15-23 MATERIALS TOOLBOX Extension book page Resource Sheets 4 5 NHM Mixed Age Planning Page 11 of 68 Downloaded from www.myprimary.co.uk NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 1 Starter Year 4 Year 5 Tune-in TF 122-123 Mental subtraction Using patterns of similar calculations Tune-in TF 166-167 Dividing by 2, 3, 4, 5 and 10 Revising mental division Main Teaching 1 Subtracting mentally near multiples of 10 TF 123-124 1 Dividing by 6, 7, 8 and 9 TF 167 Revising mental division Core Activities Pupil Activities TF 124 1 Connection cards game (Resource Sheet 39) 2 Pupil Sheet 96 Template Textbook page 25 TF 128 Pupil Activities TF 124 1 Connection cards game (Resource Sheet 39) 2 Pupil Sheet 96 Template Provide a 0 – 100 number line to help pupils find the answers Extension Pupil Activities TF 124 1 Connection cards game (Resource Sheet 39) 2 Pupil Sheet 96 Template Ask the pupils to create their own set of domino cards using pupil sheet 96 and swap with a friend to arrange. Pupil Activities TF 168 1 Pupil Sheet 26 Dividing by 6, 7, 8 and 9 2 Pupil Sheet 27 Domino template Pupil Activities TF 168 1 Pupil Sheet 26 Dividing by 6, 7, 8 and 9 Before playing the game, ask pupils to lay the dominoes out face up and work in pairs to place them in a string correctly. Pupil Activities TF 168 1 Pupil Sheet 26 Dividing by 6, 7, 8 and 9 2 Pupil Sheet 27 Domino template Ask pupils to make up their own sets of dominoes cards to play with each other. Plenary Follow-up for Textbook page 25 TF 129 Specific Starter for Division TF 22-25 Support Additional Resources Teacher Notes Additional notes Extra Resources Review NHM Mixed Age Planning Page 12 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 2 Starter Year 4 Year 5 Specific Starter for Subtraction to 1000 TF 17-20 Tune-in TF 166-167 Dividing by 2, 3, 4, 5 and 10 Revising mental division Main Teaching 2 Two-steps TF 125 Revising subtraction of a single digit, bridging a multiple of 10 1 Dividing by 6, 7, 8 and 9 TF 167 Revising mental division Core Activities Pupil Activity TF 125 1 Pupil Sheet 22 Single digit bridging a multiple of 10 Textbook pages 47-48 TF 170-171 Support Pupil Activity TF 125 1 Pupil Sheet 22 Single digit bridging a multiple of 10 Work through the sheet orally with the pupils as a group then ask them to complete it independently Pupil Activity TF 125 1 Pupil Sheet 22 Single digit bridging a multiple of 10 On the board write the total of all the answers. When the pupils have finished the sheet, ask them to find the total of all their answers and compare it with your total. If there is a difference they must find their mistakes. Discuss children’s work. Textbook pages 47-48 TF 170-171 Provide pupils with a multiplication table for support. Extension Plenary Additional Resources Teacher Notes Textbook pages 47-48 TF 170-171 Ask pupils to make up their own word problems which involve division by 6, 7, 8 or 9. Swap with a partner to solve. Follow-up for Textbook pages 47-48 TF 171 Additional notes Extra Resources Review NHM Mixed Age Planning Page 13 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 3 Starter Year 4 Year 5 Specific Starter for Subtraction to 1000 TF 17-20 Specific Starter for Multiplication or Division TF 19-25 Main Teaching 3 Three-steps TF 126-127 Revising subtraction of a two-digit number, bridging a multiple of 10 Core Activities Textbook page 26 TF 128 Ask pupils to find the answers mentally. 2 Dividing by 10, 100 and 1000 TF 168-169 Mental division of three- and fourdigit numbers Textbook page 49 TF 171 Support Textbook page 26 TF 12 Provide pupils with a 0 – 100 number line for support. Allow them to make jottings to help them find each answer. Extension Textbook page 26 TF 12 Ask pupils to find the answers mentally. Give pupils a set of 0 – 100 cards. Ask them to select two cards and find the difference between them. Time themselves to see how quickly they can complete ten questions. Textbook page 49 TF 171 Work with the pupils as a group before they do the page independently. For q3, 6 and 9 discuss what multiplication fact they will use to solve each question. Write these facts on the board to support pupils. Textbook page 49 TF 171 Tell pupils that labels are priced at 3p per letter. Ask them to find the cost of a label for each of the people on the page. Ask them to find the cost of a label for their own address. How much would 100 labels cost? Plenary Follow-up for Textbook page 26 TF 129 Follow-up for Textbook page 49 TF 171 Home Activity 7 Home Activity 12 Check-up 14 Check-up 7 Additional Resources Teacher Notes Additional notes Extra Resources Review NHM Mixed Age Planning Page 14 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 4 Starter Year 4 Year 5 Specific Starter for Subtraction to 1000 TF 17-20 Specific Starter for Multiplication or Division TF 19-25 Main Teaching 4 Checking TF 127-128 Checking answers by linking addition and subtraction 3 Divisibility TF 169-170 Introducing divisibility tests Core Activities Textbook pages 27-28 TF 128 Textbook page 50 TF 171 Support Textbook pages 27 TF 128 Extension Textbook pages 27-28 TF 128 Plenary Follow-up for Textbook pages 27-28 TF 129 Textbook page 50 TF 171 Ask the pupils to work through q1 a-c in pairs answering b and c orally. Discuss the pupils’ findings as a group before they complete the page independently. Textbook page 50 TF 171 Ask pupils to choose another single digit number and look to see if there is a way of easily finding out whether a number divides exactly by it. Follow-up for Textbook page 50 TF 171 Additional Resources Teacher Notes Additional notes Extra Resources Review NHM Mixed Age Planning Page 15 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 5 Starter Generic Starter TF 2-5 Specific Starter for Multiplication or Division TF 19-25 Main Teaching Revision/consolidation of work covered in units 2-3 Revision/Consolidation Core Activities Ask pupils to design a poster explaining how to check addition and subtraction answers, e.g. by using the inverse operation or rules about adding/subtracting odd/even numbers. Provide a set of questions for them to check and use as the basis of their poster. Ask pupils to design a poster which explains the divisibility tests they know. Support Textbook pages 28 TF 128 Ask pupils to design a poster which explains the divisibility tests they know. Extension Ask pupils to design a poster explaining how to check addition and subtraction answers, e.g. by using the inverse operation or rules about adding/subtracting odd/even numbers. Discuss pupils’ posters Ask pupils to design a poster which explains the divisibility tests they know. Plenary Year 4 Year 5 Additional Resources Teacher Notes Discuss the posters pupils have made and summarise the divisibility tests they could use in the future. Emphasise how these tests can be used to check answers. Additional notes Extra Resources Review NHM Mixed Age Planning Page 16 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Mixed Age Planning Year 4 & Year 5 Autumn Term Unit Framework topic Measures, including problems 4 4 5days 5 Fractions, decimals and percentages Ratio and proportion Objectives: children will be taught to… NHM Topic NHM Section Use, read and write standard metric units (km, m, cm, mm), including their abbreviations, and imperial units (mile). Know and use the relationships between familiar units of length. Know the equivalent of one half, one quarter, three quarters and one tenth of 1km, 1m, in m, cm. Convert up to 1000 centimetres to metres, and vice versa. Suggest suitable units and measuring equipment to estimate or measure length. Record estimates and readings from scales to a suitable degree of accuracy. Measure and calculate the perimeter of rectangles and other simple shapes, using counting methods and standard units (cm). Use fraction notation, including mixed numbers, and the vocabulary numerator and denominator. Change an improper fraction to a mixed number (e.g. change 13/10 to 13/10). Recognise when two simple fractions are equivalent, including relating hundredths to tenths (e.g. 70/100 = 7/10). Order a set of fractions such as 2, 23/4, 13/4, 21/2, 11/2, and position them on a number line. Measure Length Fractions Fraction of a shape; equivalence Teaching File page Pupil Sheets Textbook page 2-5, 346-355 81 91-94 192-202 36-39 56-58 Home Activities Check-ups 13 17 MATERIALS TOOLBOX Extension book page E16-E18 Resource Sheets 4 38 5 NHM Mixed Age Planning Page 17 of 68 Downloaded from www.myprimary.co.uk NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 1 Starter Year 4 Tune-in TF 346-347 Metres and centimetres Revising the relationship between metres/half-metres and centimetres Year 5 Additional Resources Teacher Notes Tune-in TF 192 Squared paper shapes Revising halves, thirds, quarters, fifths, sixths, eighths and tenths Pupil Sheet 36 1 Improper fractions TF 194-195 Main Teaching 1 Half and half again TF 347-348 Introducing the quarter-metre Core Activities Textbook page 91 TF 353 Ask pupils to first estimate whether each object will be more or less than ¼ metre before measuring. Pupil Activities TF 195-196 1 Modelling proper and improper fractions 2 Pupil Sheet 37 Mixed numbers and improper fractions Support Pupil Activities TF 195-196 1 Modelling proper and improper fractions Extension Textbook page 91 TF 353 Discuss with the pupils in advance which objects they might choose for q2. Textbook page 91 TF 353 Textbook page 92 TF 353 q1. Ask pupils to choose five more objects in the classroom to estimate then measure the length of. Plenary Follow-up for Textbook page 91 TF 353 Discuss children’s work Pupil Activities TF 195-196 2 Pupil Sheet 37 Mixed numbers and improper fractions Use Pupil Sheet 27 to make a set of dominoes of proper and improper fractions for pupils to play with. Additional notes Extra Resources Review NHM Mixed Age Planning Page 18 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 2 Starter Generic Starter TF 2-5 Specific Starter for Fractions TF 26-29 Main Teaching 2 Three ways TF 348-349 Recording using different forms 2 Introducing sevenths, ninths, twelfths and twentieths TF 196197 Core Activities Textbook page 92 TF 353 Support Textbook page 92 TF 353 Provide a set of cards showing all the heights in the table in q2 (including the missing ones) and ask pupils to work together to match up the same measurements. Textbook page 92 TF 353 q2-3 Pupil Activity TF 197 1 Pupil Sheet 38 Sevenths, ninths, twelfths and twentieths Textbook page 56 TF 201 Pupil Activity TF 197 1 Pupil Sheet 38 Sevenths, ninths, twelfths and twentieths Extension Plenary Year 4 Pupil Activities TF 350 1 Pupil Sheet 81 Centimetres and half-centimetres 2 Measuring curved lines Discuss the strategies pupils used to measure the curved lines. Follow-up for Textbook page 92 TF 353 Year 5 Additional Resources Teacher Notes Textbook page 56 TF 201 Ask pupils to make two sets of cards, one showing mixed numbers and the other the equivalent improper fractions. They can use the cards to play games of snap and Pelmanism. Follow-up for Textbook page 56 TF 201 Home Activity 13 Additional notes Extra Resources Review NHM Mixed Age Planning Page 19 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 3 Starter Year 4 Year 5 Generic Starter TF 2-5 Specific Starter for Fractions TF 26-29 Main Teaching 3 Rulers TF 350 Measuring in centimetres and half-centimetres Core Activities Pupil Activities TF 350 1 Pupil Sheet 81 Centimetres and half-centimetres 2 Measuring curved lines 3 Equivalent fractions TF 197-199 Extending equivalence to include ninths, twelfths and twentieths Write some fractions on the board, e.g. 2/3 3/10 For each fraction, ask pupils to give three equivalent fractions. Additional Resources Teacher Notes Textbook page 57 TF 201 Support Pupil Activities TF 350 1 Pupil Sheet 81 Centimetres and half-centimetres Pupil Activity TF 199 1 Pupil Sheet 39 Equivalence Extension Extension Textbook pages E16-E17 TF 354-355 Ask pupils to design a poster explaining equivalent fractions to an alien. They could use examples of equivalent fractions and strategies for finding them. Plenary Discuss children’s work. Follow-up for Textbook page 57 TF 202 Check-up 17 TF Additional notes Extra Resources Review NHM Mixed Age Planning Page 20 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 4 Starter Generic Starter TF 2-5 Specific Starter for Fractions TF 26-29 Main Teaching 4 Choosing measuring instruments and units TF 351 4 Comparing and ordering fractions TF 199-201 Core Activities Textbook page 93 TF 353 Textbook page 58 TF 201 Support Extension Textbook page 93 TF 353 Work through the page orally with the pupils as a group discussing reasons for selecting each answer. Textbook page 93 TF 353 Ask pupils to list four things they would measure in km and four in mm. Extension Textbook pages E16-E17 TF 354-355 Plenary Follow-up for Textbook page 93 TF 353 Textbook page 58 TF 201 Provide pupils with the equivalent fractions chart (Resource Sheet 38) for support. Textbook page 58 TF 201 Provide pairs of pupils with a set of fraction cards and a set of cards showing < , > and =. Ask them to take it in turns to pick two fraction cards. They must then choose a comparison card and lay the three cards out to make a correct statement. Follow-up for Textbook page 58 TF 202 Year 4 Year 5 Additional Resources Teacher Notes Additional notes Extra Resources Review NHM Mixed Age Planning Page 21 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 5 Starter Generic Starter TF 2-5 Specific Starter for Fractions TF 26-29 Main Teaching 5 Introducing perimeter TF 351-352 Revision/Consolidation Core Activities Textbook page 94 TF 353 Support Textbook page 94 TF 353 Measure the objects in q2 and 3 together as a group and record the measurements then let the pupils do the page. Provide pairs of pupils with a set of cards showing fractions they are familiar with and a set of cards showing < , > and =. Ask them to take it in turns to pick two fraction cards. They must then choose a comparison card and lay the three cards out to make a correct statement. Provide pairs of pupils with a set of cards showing fractions they are comfortable with and a set of cards showing < , > and =. Ask them to take it in turns to pick two fraction cards. They must then choose a comparison card and lay the three cards out to make a correct statement. Provide pupils with the equivalent fractions chart for support. Extension Textbook page 94 TF 353 Extension Textbook pages E18 TF 354-355 Plenary Follow-up for Textbook page 94 TF 353 Year 4 NHM Mixed Age Planning Year 5 Additional Resources Teacher Notes Provide pupils with a set of cards showing fractions they are familiar with less than 5 and a blank 0-5 number line. Ask them to work in pairs and take it in turns to pick a card and label its position on the number line. Discuss pupils’ work. Page 22 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Additional notes Extra Resources Review NHM Mixed Age Planning Page 23 of 68 Downloaded from www.myprimary.co.uk NHM Mixed Age Planning Year 2 and Year 3 Spring Term Mixed Age Planning Year 4 & Year 5 Autumn Term Unit Framework topic 5 3days Objectives: children will be taught to… NHM Topic NHM Section Measures, including problems Measure and calculate the area of rectangles and other simple shapes, using counting methods and standard units (cm2). Measure Area Fractions, decimals and percentages Ratio and proportion Use fraction notation, including mixed numbers, and the vocabulary numerator and denominator. Use decimal notation for tenths and hundredths. Know what each digit represents in a number with up to two decimal places. Order a set of numbers or measurements with the same number of decimal places. Round a number with one or two decimal places to the nearest integer. Relate fractions to their decimal representations: that is, recognise the equivalence between the decimal and fraction forms of one half, one quarter, three quarters and tenths and hundredths (e.g. 7/10 = 0.7, 27/100 = 0.27). Decimals Tenths 4 5 5days Teaching File page Pupil Sheets Textbook page 365-369 82 99-100 218-231 N.L Shortcut 4 41-42 62-66 Home Activities Check-ups MATERIALS TOOLBOX Extension book page Resource Sheets 58 4 5 NHM Mixed Age Planning 15-16 Page 24 of 68 19-20 34-35, 40-41 Downloaded from www.myprimary.co.uk NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 1 Starter Year 4 Year 5 Tune-in TF 365 Letters Finding areas in squares Tune-in TF 218-219 Revising tenths Main Teaching 1 Square centimetres TF 366-367 1 Tenths TF 219-221 Core Activities Pupil Activities TF 367 1 Drawing shapes of given areas 2 Drawing shapes with an area of 6cm² Pupil Activities TF 221-222 1 Playing snap with decimals Support Pupil Activities TF 367 1 Drawing shapes of given areas Pupil Activities TF 221-222 4 Pupil Sheet 41 Tenths, place value Extension Pupil Activities TF 367 1 Drawing shapes of given areas 2 Drawing shapes with an area of 6cm² Ask pupils to choose a number less than 20 and draw all the shapes they can with that area. Look at the different shapes pupils have drawn for each measurement and highlight that although the shapes look different they all have the same area. Pupil Activities TF 221-222 1 Playing snap with decimals 2 Decimal dice games Plenary Additional Resources Teacher Notes Discuss children’s work Additional notes Extra Resources Review NHM Mixed Age Planning Page 25 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 2 Starter Generic Starter TF 2-5 Specific Starter for Decimals TF 29-32 Main Teaching Revise and consolidate square centimetres Revision/consolidation Core Activities Textbook page 99 TF 369 Pupil Activities TF 221-222 2 Decimal dice games 3 Writing decimals Support Textbook page 99 TF 369 Provide a copy of the shapes on squared paper so that pupils can tick off squares as they count them. Textbook page 99 TF 369 Ask pupils to draw all the rectangles they can with an area of 36cm2 and 18cm2. In a table ask them to record the length, width and area of each rectangle and discuss any patterns they notice. Pupil Activities TF 221-222 1 Playing snap with decimals 2 Decimal dice games Extension Plenary Year 4 Follow-up for Textbook page 99 TF 369 Year 5 Additional Resources Teacher Notes Pupil Activities TF 221-222 3 Writing decimals In groups, ask pupils to take it in turns to think of a decimal and write it on a piece of paper without other pupils seeing it. The rest of the group must then ask questions about the digits to discover the number, e.g. is the tens digit even?. Discuss children’s work Additional notes Extra Resources Review NHM Mixed Age Planning Page 26 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 3 Starter Generic Starter TF 2-5 Specific Starter for Decimals TF 29-32 Main Teaching 2 The half-square centimetre TF 367-368 2 Rounding to the nearest whole number TF 222-223 Core Activities Textbook page 100 TF 369 (Resource Sheet 58) Textbook pages 62-63 TF 229 Support Textbook page 100 TF 369 (Resource Sheet 58) Provide a copy of the shapes on squared paper so that pupils can tick off squares as they count them. Tell pupils to count all the whole squares first then the half squares. Textbook page 100 TF 369 (Resource Sheet 58) Ask the pupils to draw a 4cm x 6cm rectangle on squared paper and find as many different ways as they can to colour quarter then half of it. Textbook pages 62-63 TF 229 Provide pupils with appropriate number lines to support them. Extension Plenary Year 4 Follow-up for Textbook page 100 TF 369 Year 5 Additional Resources Teacher Notes Textbook pages 62-63 TF 229 Provide pairs of pupils with a set of cards showing decimals and fractions less than 100 and a large blank 0-100 number line. Ask pupils to take it in turns to pick a card and estimate its position on the number line. As new cards are chosen pupils must discuss any changes that need to be made to previously positioned cards. Follow-up for Textbook pages 62-63 TF 230 Home Activity 15 Home Sheet 20 Check-up 19 Additional notes Extra Resources Review NHM Mixed Age Planning Page 27 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 4 Starter Year 4 Year 5 3 Addition of one-places decimals TF 223-225 Core Activities Pupil Activity TF 225 1 Pupil Sheet 42 Template Extension Plenary Teacher Notes Specific Starter for Decimals TF 29-32 Main Teaching Support Additional Resources Textbook pages 64-65 TF 229 Pupil Activity TF 225 1 Pupil Sheet 42 Template Ask pupils to add 0.2, 0.5, 0.3 and 0.4 Pupil Activity TF 225 1 Pupil Sheet 42 Template Ask pupils to add 1.9, 2.4, 5.1 and 3.6 Follow-up for Textbook pages 64-65 TF 230 Additional notes Extra Resources Review NHM Mixed Age Planning Page 28 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 5 Starter Year 4 Year 5 4 Subtraction of one-place decimals TF 225-226 Core Activities Pupil Activity TF 227 1 Pupil Sheet 42 Template Extension Plenary Teacher Notes Specific Starter for Decimals TF 29-32 Main Teaching Support Additional Resources Textbook page 66 TF 229 Pupil Activity TF 227 1 Pupil Sheet 42 Template Ask pupils to subtract 0.2, 0.5, 0.3 and 0.4 Pupil Activity TF 227 1 Pupil Sheet 42 Template Ask pupils to subtract 2.9, 3.6, 2.3 and 1.8 Follow-up for Textbook page 66 TF 230 Home Activity 16 Home Sheet 21 Check-up 20 Additional notes Extra Resources Review NHM Mixed Age Planning Page 29 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Mixed Age Planning Year 4 & Year 5 Autumn Term Unit Framework topic Unit 6 Shape and space 4 Reasoning about shapes Objectives: children will be taught to… NHM Topic NHM Section Describe and visualise 3-D shapes, including the tetrahedron. Visualise 3-D shapes from 2-D drawings and identify simple nets of solid shapes. Shape Solve a problem by representing and interpreting data in tables, charts, graphs and diagrams, including those generated by a computer, for example: bar line charts, vertical axis labelled in 2s, 5s, 10s, 20s or 100s, first where intermediate points have no meaning (e.g. scores on a dice rolled 50 times), then where they may have meaning (e.g. room temperature over time). Find the mode of a set of data. Data Handling 5days 8days Handling data 5 Using a calculator Home Activities Teaching File page Pupil Sheets Textbook page 382-392 85 103-106 12-14 376-386 72 119-122 12-14, 53, 54 MATERIALS TOOLBOX Check-ups Using the Data Handling processes Extension book page Resource Sheets 4 5 NHM Mixed Age Planning Page 30 of 68 Downloaded from www.myprimary.co.uk NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 1 Starter Main Teaching Core Activities Support Year 4 Year 5 Tune-in TF 382-383 Name the shape Naming and describing shapes Tune-in TF 376-377 Reading scales Interpreting the frequency axis 1 Introducing the triangular pyramid TF 383-385 Identifying shapes and discussing properties Pupil Activity TF 385 1 Sorting 3D shapes on a Carroll diagram 1 From bar chart to bar line chart TF 377-378 Introducing bar line charts Textbook pages 103-104 TF 392 Pupil Activity TF 385 1 Sorting 3D shapes on a Carroll diagram Work with the pupils as a group to sort the shapes then do the textbook pages. Extension Pupil Activity TF 385 1 Sorting 3D shapes on a Carroll diagram Ask pupils to record four different ways in which they sorted the shapes writing the names of the shapes on copies of the Carroll diagram. Plenary Follow-up for Textbook pages 103-104 TF 392 Additional notes Extra Resources Review NHM Mixed Age Planning Additional Resources Teacher Notes Textbook page 119 TF 382 Textbook page 119 TF 382 Work with the pupils as a group and discuss how the bar chart in q4 should be drawn. Before working independently ensure each child has drawn and labelled the axes correctly and understands the scale they are going to use. Textbook page 119 TF 382 Ask pupils to make up some questions that could be answered using the bar chart. Swap with partners to answer. Follow-up for Textbook page 119 TF 382 Page 31 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 2 Starter Year 4 Year 5 Generic Starter TF 2-5 Generic Starter TF 2-5 2 Prisms and pyramids TF 386-387 Naming and describing prisms and pyramids Pupil Activity TF 388 1 Pupil Sheet 85 Prisms and pyramids Consolidate Teaching from Day 1 Support Pupil Activity TF 388 1 Pupil Sheet 85 Prisms and pyramids Provide a set of the shapes on the sheet for the pupils to work with. Extension Pupil Activity TF 388 1 Pupil Sheet 85 Prisms and pyramids Ask pupils to explain why their answers to q2 will always be right then explore a set of pyramids and prisms and write down more true statements about them. Discuss children’s work. Textbook page 120 TF 382 Work with the pupils as a group and discuss how the bar line chart in q5 should be drawn. Before working independently ensure each child has drawn and labelled the axes correctly and understands the scale they are going to use. Textbook page 120 TF 382 Ask pupils to make up some questions that could be answered using the bar line chart. Swap with partners to answer. Main Teaching Core Activities Plenary Additional Resources Teacher Notes Textbook page 120 TF 382 Follow-up for Textbook page 120 TF 382 Additional notes Extra Resources Review NHM Mixed Age Planning Page 32 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 3 Starter Generic Starter TF 2-5 Generic Starter TF 2-5 Main Teaching 3 Building models TF 388-389 Using construction kits and straws 2 Using a database TF 379-380 Extracting information from a table Core Activities Pupil Activities TF 389 1 Making prisms 2 Making prisms and pyramids Textbook page 121 TF 382 Support Pupil Activities TF 389 1 Making prisms Textbook page 121 TF 382 Draw a large version of the table on the board. Work with the pupils as a group discussing the questions and answers orally. Extension Pupil Activities TF 389 1 Making prisms 2 Making prisms and pyramids Ask pupils to make as many different prisms and pyramids as they can. Textbook page 121 TF 382 Ask pupils to make up their own clues similar to q3 to identify the other bakers. Swap with a partner to solve. Plenary Discuss children’s work. Follow-up for Textbook page 121 TF 383 Year 4 Year 5 Additional Resources Teacher Notes Additional notes Extra Resources Review NHM Mixed Age Planning Page 33 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 4 Starter Generic Starter TF 2-5 Generic Starter TF 2-5 Main Teaching 4 Cubes and cuboids TF 389-390 Identifying nets 3 Ticket sales TF 380-381 Introducing range and mode Core Activities Textbook page 105 TF 392 Pupil Activity TF 381 1 Pupil Sheet 72 Organising and interpreting Support Textbook page 105 TF 392 Provide pupils with each of the shapes in q1 and 2 already made for them to look at when making their own. Extension Textbook page 105 TF 392 Ask pupils to make as many different nets as they can for a cube out of squared paper. Pupil Activity TF 381 1 Pupil Sheet 72 Organising and interpreting Ask pupils to work in pairs to complete the tally chart, taking it in turns to count the letters in a name, enter it on the chart and cross out the name. Pupil Activity TF 381 1 Pupil Sheet 72 Organising and interpreting Ask pupils to carry out a similar survey of girls’ names in their class. Plenary Follow-up for Textbook page 105 TF 392 Year 4 Year 5 Additional Resources Teacher Notes Follow-up for Textbook page 122 TF 383 Additional notes Extra Resources Review NHM Mixed Age Planning Page 34 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 5 Starter Year 4 Day 5 Tune-in TF 382-383 Name the shape Naming and describing shapes Year 5 Day 5-8 Generic Starter TF 2-5 Main Teaching 5 Building 3D shapes from pictures TF 390-391 Using interlocking cubes Revision/Consolidation Core Activities Textbook page 106 TF 392 Support Textbook page 106 TF 392 Ask pupils to work in pairs to make each shape. Extension Textbook page 106 TF 392 Ask pupils to face each other in pairs and put a screen between them. One child must make a shape out of cubes then give their partner Textbook page 122 TF 382 Ask pupils to carry out a study of the names of children in the class and design a poster showing the information they discover. They may choose to look at first names, middle names or surnames. They might consider the number of letters in a name or the letter a name starts with. Their posters could include tables of information, charts and facts such as modes and ranges. Textbook page 122 TF 382 Ask pupils to carry out a study of the names of children in the class and design a poster showing the information they discover. They may choose to look at first names, middle names or surnames. They might consider the number of letters in a name or the letter a name starts with. Their posters could include tables of information, charts and facts such as modes and ranges. Textbook page 122 TF 382 Ask pupils to carry out a study of the names of children in the class and design a poster showing the information they discover. They NHM Mixed Age Planning Additional Resources Page 35 of 68 Teacher Notes Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term step by step instructions to recreate it. Remove the screen and see if the shapes are the same. Plenary Discuss children’s work. may choose to look at first names, middle names or surnames. They might consider the number of letters in a name or the letter a name starts with. Their posters could include tables of information, charts and facts such as modes and ranges. Discuss children’s work Additional notes Extra Resources Review NHM Mixed Age Planning Page 36 of 68 Downloaded from www.myprimary.co.uk NHM Mixed Age Planning Year 2 and Year 3 Spring Term Mixed Age Planning Year 4 & Year 5 Autumn Term Unit Framework topic Unit 6 Shape and space 4 Reasoning about shapes Objectives: children will be taught to… NHM Topic NHM Section Describe and visualise 3-D shapes, including the tetrahedron. Visualise 3-D shapes from 2-D drawings and identify simple nets of solid shapes. Shape Solve a problem by representing and interpreting data in tables, charts, graphs and diagrams, including those generated by a computer, for example: bar line charts, vertical axis labelled in 2s, 5s, 10s, 20s or 100s, first where intermediate points have no meaning (e.g. scores on a dice rolled 50 times), then where they may have meaning (e.g. room temperature over time). Find the mode of a set of data. Data Handling 5days 8days Handling data 5 Using a calculator Home Activities Teaching File page Pupil Sheets Textbook page 382-392 85 103-106 12-14 376-386 72 119-122 12-14, 53, 54 MATERIALS TOOLBOX Check-ups Using the Data Handling processes Extension book page Resource Sheets 4 5 NHM Mixed Age Planning Page 37 of 68 Downloaded from www.myprimary.co.uk NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 1 Starter Main Teaching Core Activities Year 4 Year 5 Tune-in TF 382-383 Name the shape Naming and describing shapes Tune-in TF 376-377 Reading scales Interpreting the frequency axis 1 Introducing the triangular pyramid TF 383-385 Identifying shapes and discussing properties Pupil Activity TF 385 1 Sorting 3D shapes on a Carroll diagram 1 From bar chart to bar line chart TF 377-378 Introducing bar line charts Additional Resources Teacher Notes Textbook page 119 TF 382 Textbook pages 103-104 TF 392 Support Pupil Activity TF 385 1 Sorting 3D shapes on a Carroll diagram Work with the pupils as a group to sort the shapes then do the textbook pages. Extension Pupil Activity TF 385 1 Sorting 3D shapes on a Carroll diagram Ask pupils to record four different ways in which they sorted the shapes writing the names of the shapes on copies of the Carroll diagram. Follow-up for Textbook pages 103-104 TF 392 Plenary Additional notes Extra Resources Review NHM Mixed Age Planning Textbook page 119 TF 382 Work with the pupils as a group and discuss how the bar chart in q4 should be drawn. Before working independently ensure each child has drawn and labelled the axes correctly and understands the scale they are going to use. Textbook page 119 TF 382 Ask pupils to make up some questions that could be answered using the bar chart. Swap with partners to answer. Follow-up for Textbook page 119 TF 382 Page 38 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 2 Starter Year 4 Year 5 Generic Starter TF 2-5 Generic Starter TF 2-5 2 Prisms and pyramids TF 386-387 Naming and describing prisms and pyramids Pupil Activity TF 388 1 Pupil Sheet 85 Prisms and pyramids Consolidate Teaching from Day 1 Support Pupil Activity TF 388 1 Pupil Sheet 85 Prisms and pyramids Provide a set of the shapes on the sheet for the pupils to work with. Extension Pupil Activity TF 388 1 Pupil Sheet 85 Prisms and pyramids Ask pupils to explain why their answers to q2 will always be right then explore a set of pyramids and prisms and write down more true statements about them. Discuss children’s work. Textbook page 120 TF 382 Work with the pupils as a group and discuss how the bar line chart in q5 should be drawn. Before working independently ensure each child has drawn and labelled the axes correctly and understands the scale they are going to use. Textbook page 120 TF 382 Ask pupils to make up some questions that could be answered using the bar line chart. Swap with partners to answer. Main Teaching Core Activities Plenary Additional Resources Teacher Notes Textbook page 120 TF 382 Follow-up for Textbook page 120 TF 382 Additional notes Extra Resources Review NHM Mixed Age Planning Page 39 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 3 Starter Generic Starter TF 2-5 Generic Starter TF 2-5 Main Teaching 3 Building models TF 388-389 Using construction kits and straws 2 Using a database TF 379-380 Extracting information from a table Core Activities Pupil Activities TF 389 1 Making prisms 2 Making prisms and pyramids Textbook page 121 TF 382 Support Pupil Activities TF 389 1 Making prisms Textbook page 121 TF 382 Draw a large version of the table on the board. Work with the pupils as a group discussing the questions and answers orally. Extension Pupil Activities TF 389 1 Making prisms 2 Making prisms and pyramids Ask pupils to make as many different prisms and pyramids as they can. Textbook page 121 TF 382 Ask pupils to make up their own clues similar to q3 to identify the other bakers. Swap with a partner to solve. Plenary Discuss children’s work. Follow-up for Textbook page 121 TF 383 Year 4 Year 5 Additional Resources Teacher Notes Additional notes Extra Resources Review NHM Mixed Age Planning Page 40 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 4 Starter Generic Starter TF 2-5 Generic Starter TF 2-5 Main Teaching 4 Cubes and cuboids TF 389-390 Identifying nets 3 Ticket sales TF 380-381 Introducing range and mode Core Activities Textbook page 105 TF 392 Pupil Activity TF 381 1 Pupil Sheet 72 Organising and interpreting Support Textbook page 105 TF 392 Provide pupils with each of the shapes in q1 and 2 already made for them to look at when making their own. Extension Textbook page 105 TF 392 Ask pupils to make as many different nets as they can for a cube out of squared paper. Pupil Activity TF 381 1 Pupil Sheet 72 Organising and interpreting Ask pupils to work in pairs to complete the tally chart, taking it in turns to count the letters in a name, enter it on the chart and cross out the name. Pupil Activity TF 381 1 Pupil Sheet 72 Organising and interpreting Ask pupils to carry out a similar survey of girls’ names in their class. Plenary Follow-up for Textbook page 105 TF 392 Year 4 Year 5 Additional Resources Teacher Notes Follow-up for Textbook page 122 TF 383 Additional notes Extra Resources Review NHM Mixed Age Planning Page 41 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 5 Starter Year 4 Day 5 Tune-in TF 382-383 Name the shape Naming and describing shapes Year 5 Day 5-8 Generic Starter TF 2-5 Main Teaching 5 Building 3D shapes from pictures TF 390-391 Using interlocking cubes Revision/Consolidation Core Activities Textbook page 106 TF 392 Support Textbook page 106 TF 392 Ask pupils to work in pairs to make each shape. Extension Textbook page 106 TF 392 Ask pupils to face each other in pairs and put a screen between them. One child must make a shape out of cubes then give their partner step by step instructions to recreate Textbook page 122 TF 382 Ask pupils to carry out a study of the names of children in the class and design a poster showing the information they discover. They may choose to look at first names, middle names or surnames. They might consider the number of letters in a name or the letter a name starts with. Their posters could include tables of information, charts and facts such as modes and ranges. Textbook page 122 TF 382 Ask pupils to carry out a study of the names of children in the class and design a poster showing the information they discover. They may choose to look at first names, middle names or surnames. They might consider the number of letters in a name or the letter a name starts with. Their posters could include tables of information, charts and facts such as modes and ranges. Textbook page 122 TF 382 Ask pupils to carry out a study of the names of children in the class and design a poster showing the information they discover. They may choose to look at first names, NHM Mixed Age Planning Additional Resources Page 42 of 68 Teacher Notes Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term it. Remove the screen and see if the shapes are the same. Plenary Discuss children’s work. middle names or surnames. They might consider the number of letters in a name or the letter a name starts with. Their posters could include tables of information, charts and facts such as modes and ranges. Discuss children’s work Additional notes Extra Resources Review NHM Mixed Age Planning Page 43 of 68 Downloaded from www.myprimary.co.uk NHM Mixed Age Planning Year 2 and Year 3 Spring Term Mixed Age Planning Year 4 & Year 5 Autumn Term Unit Framework topic Understanding and 4 Unit9 5days Mental calculation strategies ( and ) Money and ‘real life’ problems Making decisions and checking results 5 Measures, including problems Objectives: children will be taught to… NHM Topic NHM Section Extend understanding of the operations of × and ÷, and their relationship to each other and to + and -. Understand the principles (not the names) of the commutative, associative and distributive laws as they apply to multiplication. Know by heart: multiplication facts for 2, 3, 4, 5 and 10 times-tables. Begin to know: multiplication facts for 6, 7, 8 and 9 times-tables. Use doubling or halving, starting from known facts. For example: find the 8 times-table facts by doubling the 4 times-table. Use known number facts and place value to multiply and divide integers, including by 10 and then 100 (whole-number answers). Choose and use appropriate number operations and appropriate ways of calculating (mental, mental with jottings, pencil and paper) to solve problems. Use, read and write standard metric units (km, m, cm, mm) including their abbreviations, and relationships between them. Convert larger to smaller units (e.g. km to m, m to cm or mm). Suggest suitable units and measuring equipment to estimate or measure length, mass or capacity. Measure and draw lines to the nearest millimetre. Record estimates and readings from scales to a suitable degree of accuracy. Understand, measure and calculate perimeters of rectangles and regular polygons. Multiplication Table facts and multiplication by 10, 100 Length Length Teaching File page Pupil Sheets Textbook page Home Activities Check-ups 20-22, 156-169 MF, Shortcut 1 34-37 38-43 10-14 10-12 300-308 58 89-94 MATERIALS TOOLBOX 4 Extension book page Resource Sheets 7-8, 19-25 E13 5 NHM Mixed Age Planning Page 44 of 68 Downloaded from www.myprimary.co.uk NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 1 Starter Year 4 Year 5 Tune-in TF 156-157 Buzz Tune-in TF 300-301 Metres and centimetres Revising the relationship between metres/half-metres/quarter metres and centimetres 1 Mental practice TF 157 Revising the 2, 3, 4, 5 and 10 times tables 2 Patterns TF 157-158 Revising mult. by 10 and 100 Textbook page 38 TF 168 Pupil Activities TF 158 1 Multiplying by 10 and 100 2 Multiplying by 10 and 100 Textbook page 39 TF 168 Pupil Activities TF 158 2 Multiplying by 10 and 100 1 How long is a piece of string? TF 301-302 Recording lengths in different forms Extension Pupil Activities TF 158 1 Multiplying by 10 and 100 Ask pupils to select three cards and multiply the three-digit number they create by 10 then 100. Plenary Follow-up for Textbook pages 38-39 TF 169 Home Activity 10 Check-up 10 Textbook page 89 TF 306 On the board, write five other items within the classroom which could be measured. Ask pupils to estimate the first item and then measure it. They score a point for every cm their estimate is away from the actual measurement. Repeat for the other items. The winner is the person with the smallest score. Follow-up for Textbook page 89 TF 307 Main Teaching Core Activities Support Additional Resources Teacher Notes Textbook page 89 TF 306 Textbook page 89 TF 306 For q1 provide pupils with a table to record their results in. For q2 provide a set of cards showing the missing measurements and ask pupils to put them in the appropriate places on the table. Additional notes Extra Resources NHM Mixed Age Planning Page 45 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 2 Starter Year 4 Year 5 Specific Starter for Multiplication TF 20-22 Generic Starter TF 2-5 Main Teaching 3 Multiplication facts for 8 TF 159-161 2 Rods TF 302-303 Introducing the tenth of a metre Core Activities Pupil Activities TF 161 3 Pupil Sheet 34 8 times table Textbook page 90 TF 306 Additional Resources Teacher Notes Textbook page 40 Support Pupil Activities TF 161 2 Snap, x8 table Ask the pupils to work in pairs and match the station cards to the multiplication cards. Extension Pupil Activities TF 161 1 Bingo, x8 table Plenary Follow-up for Textbook page 40 TF 169 Textbook page 90 TF 306 Before doing the page give pupils two sets of cards, one showing measurements as decimals, e.g. 3.2m and the other as the matching fraction, e.g. 3 2/10 m. Ask pupils to spread the cards out face up on the table and work in pairs to find matching cards. Textbook page 90 TF 306 Work in groups and measure each pupil’s jump to the nearest cm. Record the measurements from shortest to longest. Follow-up for Textbook page 90 TF 307 Home Activity 11 Additional notes Extra Resources Review NHM Mixed Age Planning Page 46 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 3 Starter Year 4 Year 5 Specific Starter for Multiplication TF 20-22 Generic Starter TF 2-5 Main Teaching 4 Multiplication facts for 6 TF 161-162 3 Measuring short lengths TF 303 Using the millimetre Core Activities Pupil Activity TF 162 1 Pupil Sheet 35 6 times table Textbook page 91 TF 306 Additional Resources Teacher Notes Textbook page 41 TF 168 Support Pupil Activities TF 161 2 Snap, x8 table Repeat the activity for the x6 table. Ask the pupils to work in pairs and match the station/mult. cards. Extension Ask the pupils to make two sets of cards, one showing the stations of the x6 table and the other the associated multiplications. Ask them to devise their own game with the cards, explaining the rules. Follow-up for Textbook page 41 TF 169 Plenary Textbook page 91 TF 306 Before doing the page give pupils two sets of cards, one showing measurements in cm, e.g. 16 ½ cm and the other as mm, e.g. 165mm. Ask pupils to spread the cards out face up on the table and work in pairs to find matching cards. Textbook page 91 TF 306 Ask pupils to find items in the classroom that it would be sensible to measure in mm. Ask them to estimate then measure these items. Follow-up for Textbook page 91 TF 307 Home Activity 12 Check-up 11 Additional notes Extra Resources Review NHM Mixed Age Planning Page 47 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 4 Starter Year 4 Year 5 Specific Starter for Multiplication TF 20-22 Generic Starter TF 2-5 Main Teaching 5 Multiplication facts for 9 TF 163-164 4 Measuring longer lengths TF 303-304 Using the kilometre Core Activities Pupil Activities TF 164-165 1 Fingers, x9 facts 2 Pupil Sheet 36 9 times table Pupil Activity 1 TF 304 1 Metre/kilometre card game Support Textbook page 42 TF 168 Pupil Activities TF 164-165 1 Fingers, x9 facts Additional Resources Teacher Notes Textbook pages 92-93 TF 306 Extension Pupil Activities TF 161 1 Bingo, x8 table On their bingo cards ask pupils to write stations from the x6, x8 and x9 tables and ask questions from all three tables. Plenary Follow-up for Textbook page 42 TF 169 Pupil Activity 1 TF 304 1 Metre/kilometre card game Give pupils just two of the sets of cards at a time, e.g. the m and km. Ask them to work in pairs to find matching cards. Pupil Activity 1 TF 304 1 Metre/kilometre card game Provide pupils with the distance chart from a road atlas. Ask them to pick two cities and find the distance between them in km. They could then convert the distance to m. Follow-up for Textbook pages 92-93 TF 307-308 Home Activity 13 Additional notes Extra Resources Review NHM Mixed Age Planning Page 48 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 5 Starter Year 4 Year 5 Specific Starter for Multiplication TF 20-22 Generic Starter TF 2-5 Main Teaching 6 Multiplication facts for 7 TF 165-166 5 Perimeter TF 304-305 More complex shapes Core Activities Pupil Activities TF 166 1 Matching table facts, x7 2 Pupil Sheet 37 7 times table Pupil Activities TF 305 1 Pupil Sheet 58 Perimeter Textbook page 94 TF 307 Support Textbook page 43 TF 168 Pupil Activities TF 166 1 Matching table facts, x7 Ask the pupils to work in pairs to order the cards in their own time. Extension Pupil Activities TF 166 1 Matching table facts, x7 Allow the pupils a second go to try and beat their previous time. Plenary Follow-up for Textbook page 43 TF 169 Additional Resources Teacher Notes Pupil Activities TF 305 1 Pupil Sheet 58 Perimeter Work with pupils as a group and measure and label each section of each shape. Ask them to then work in pairs to find the perimeters. Pupil Activities TF 305 1 Pupil Sheet 58 Perimeter Extension Textbook page E13 TF 308 Follow-up for Textbook page 94 TF 308 Home Activity 14 Check-up 12 Additional notes Extra Resources Review NHM Mixed Age Planning Page 49 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Mixed Age Planning Year 4 & Year 5 Autumn Term Unit Framework topic 4 Unit 10 5days 5 Understanding and Mental calculation strategies ( and ) Pencil and paper procedures (× and ÷) Money and ‘real life’ problems Making decisions and checking results Measures, including problems Objectives: children will be taught to… NHM Topic NHM Section Extend understanding of the operations of × and ÷, and their relationship to each other and to + and -. Begin to know: multiplication facts for 6, 7, 8 and 9 times-tables. Derive quickly: division facts corresponding to 2, 3, 4, 5 and 10 times-tables Use the relationship between multiplication and division. Approximate first. Use informal pencil and paper methods to support, record or explain multiplications and divisions. Use all four operations to solve word problems involving money, using one or more steps, including converting pounds to pence and vice versa. Estimate and check by approximating (round to nearest 10 or 100). Understand area measured in square centimetres (cm2). Understand and use the formula in words 'length × breadth' for the area of a rectangle. Multiplication Table facts and multiplication by 10, 100 Division Dividing by 2, 3, 4, 5 and 10 Money Amounts using notes and coins Area Area Teaching File page Pupil Sheets Textbook page Home Activities Check-ups 20-27, 167-169, 190-192, 236-241 MF, Shortcut 1 276-284 53-54, 96 44, 49-50, 61-62 15-16, 22 19 53-54 82-84 MATERIALS TOOLBOX 4 Extension book page Resource Sheets E14-E15 5 NHM Mixed Age Planning Page 50 of 68 Downloaded from www.myprimary.co.uk NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 1 Starter Year 4 Year 5 Specific Starter for Multiplication TF 20-22 Tune-in TF 276-277 Picture cards Revising the area of shapes in cm² 1 Squares and rectangles TF 277-279 Introducing the formula Main Teaching 7 Consolidating the 6, 7, 8 and 9 times tables TF 167 Core Activities Pupil Activities TF 167-168 1 Dice game 2 Three-in-a-row Additional Resources Teacher Notes Pupil Activities TF 279 1 Rectangles 2 Pupil Sheet 53 Formula for a rectangle cm² Textbook page 44 TF 168 Support Pupil Activities TF 167-168 1 Dice game Extension Pupil Activities TF 167-168 2 Three-in-a-row Play the game in pairs with pupils playing alone instead of in teams. Plenary Follow-up for Textbook page 44 TF 169 Textbook page 82 TF 282 Pupil Activities TF 279 1 Rectangles Provide an acetate with a cm square grid on. Let pupils use this to help find the length, breadth and area if necessary. Pupil Activities TF 279 2 Pupil Sheet 53 Formula for a rectangle cm² Ask pupils to draw all the shapes they can with an area of say 24cm2 Follow-up for Textbook page 82 TF 282 Home Activity 15 Additional notes Extra Resources Review NHM Mixed Age Planning Page 51 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 2 Starter Main Teaching Core Activities Year 4 Tune-in TF 190 Revising mental multiplication by 2, 3, 4, 5 and 10 1 Dividing by 2, 3, 4, 5 and 10 TF 190-191 Revision Generic Starter TF 2-5 Pupil Activities TF 192 1 Matching divisions and quotients Pupil Activities TF 280 1 Pupil Sheet 54 Irregular shapes by counting squares, cm² 3 Mosaics Textbook page 83 TF 282 Pupil Activities TF 280 1 Pupil Sheet 54 Irregular shapes by counting squares, cm² Ask pupils to count all the whole squares independently then work as a group to discuss how to count all the part squares. Pupil Activities TF 280 2 Approximate areas Textbook pages 49-50 TF 192 Support Pupil Activities TF 192 2 Connection cards game Pupil Sheet 96 Template Extension Pupil Activities TF 192 Give each pair a set of the division cards to shuffle and share. On the table place face down a pile of three sets of the quotient cards. Pupils take it in turns to turn over a quotient card. If they have a matching division card in their hand then the pair of cards is placed in front of them. When all the pairs have been made the pupil with the most pairs wins. Follow-up for Textbook pages 49-50 TF 192 Home Activity 16 Plenary Year 5 Additional Resources Teacher Notes 2 Irregular shapes TF 279-280 Follow-up for Textbook page 83 TF 283 Additional notes Extra Resources NHM Mixed Age Planning Page 52 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 3 Starter Main Teaching Core Activities Support Extension Plenary Year 4 Year 5 Tune-in TF 236-237 Changing money Equivalent values for coins and notes 1 Savings TF 237-238 Consolidation of amounts with notes and coins Generic Starter TF 2-5 Pupil Activity TF 238 1 Pupil Sheet 53 Ask pupils to try and complete the sheet without using notes and coins. Textbook page 61 TF 241 Pupil Activity TF 238 1 Pupil Sheet 53 Amounts to £20 Pupil Activity TF 281 1 Square metres Pupil Activity TF 238 1 Pupil Sheet 53 Amounts to £20 Give a small group of pupils a toy catalogue. Ask them to select five items from the catalogue less than £20. They must then list the notes and coins needed to pay for the items. Follow-up for Textbook page 61 TF 241 Additional Resources Teacher Notes 3 Square metres TF 280-281 Pupil Activity TF 281 1 Square metres Provide the pupils with a square metre made out of paper. Pupil Activity TF 281 1 Square metres Ask pupils to estimate how many 50p pieces in a single layer could fill a square metre. Give pupils 10 50p pieces and ask them to try and find a better estimate, explaining their method and reasoning. Discuss children’s work. Home Activity 22 Additional notes Extra Resources Review NHM Mixed Age Planning Page 53 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 4 Starter Year 4 Year 5 Specific Starter for Money TF 26-27 Generic Starter TF 2-5 Main Teaching 2 Charity bottles TF 238-239 Revision/Consolidation Core Activities Pupil Activities TF 239 2 Pupil Sheet 54 Pounds/pence and pence relationship Textbook page 84 TF 282 Support Pupil Activities TF 239 1 Matching pairs game Place the cards face up on the table and ask the pupils to find all the matching pairs. Pupil Activities TF 239 1 Matching pairs game relationship Textbook page 84 TF 282 Provide pupils with the tiles already made. Discuss children’s work. Follow-up for Textbook page 84 TF 283 Extension Plenary Additional Resources Teacher Notes Textbook page 84 TF 282 Ask pupils to draw all the shapes that could be made from the tiles with an area of 2m2. Can they be sure they have found them all? Additional notes Extra Resources Review NHM Mixed Age Planning Page 54 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 5 Starter Year 4 Year 5 Specific Starter for Money TF 26-27 Generic Starter TF 2-5 Main Teaching 3 About how much? TF 240 Rounding to the nearest pound and estimating Further Teaching TF 281-282 1 Introducing square millimetres Core Activities Textbook page 62 TF 241 Support Textbook page 62 TF 241 Give pupils a money line to support them Extension Textbook page 62 TF 241 On the board draw a 4 x 4 grid and put prices in each square. Ask the pupils to draw their own grid and in their matching squares write each price to the nearest pound. Follow-up for Textbook page 62 TF 241 Ask pupils to work in pairs to find an estimate of the area of each child’s thumbnail in mm2. Ask pupils to make a poster of their hand labelling the area of each nail (in mm2) and the whole hand (in cm2). Provide pupils with a set of cards showing different surfaces, e.g. the area of a football pitch, the area of a textbook page, and a set of flashcards labelled mm2, cm2, m2. Ask pupils to put the surface cards next to the flashcard showing the most sensible unit of measurement. Extension Textbook E14-E15 TF 283-284 Plenary Additional Resources Teacher Notes Discuss children’s work. Check-up 19 Additional notes Extra Resources Review NHM Mixed Age Planning Page 55 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Mixed Age Planning Year 4 & Year 5 Autumn Term Unit Framework topic 4 Unit 11 Fractions and decimals 5days 5 Mental calculation strategies (+ and ) Pencil and paper procedures (+ and ) Money and ‘real life’ problems Making decisions and checking results, including using a calculator Objectives: children will be taught to… NHM Topic NHM Section Use fraction notation. Recognise simple fractions that are several parts of a whole, such as 2/3 or 5/8, and mixed numbers, such as 53/4. Identify two simple fractions with a total of 1 (e.g. 3/10 and 7/10). Order simple fractions: for example, decide whether fractions such as 3/8 or 7/10 are greater or less than one half. Begin to relate fractions to division and find simple fractions such as 1/2, 1/3, 1/4, 1/5, 1 /10 of numbers or quantities. Find fractions such as 2/3, 3/4, 3/5, 7/10 ... of shapes. Partition into H, T and U, adding the most significant digits first. Identify near doubles, such as 1.5 + 1.6. Add or subtract the nearest multiple of 10 or 100, then adjust. Develop further the relationship between addition and subtraction. Add several numbers (e.g. four or five single digits, or multiples of 10 such as 40 + 50 + 80). Use known number facts and place value for mental addition and subtraction (e.g. 470 + 380, 810 - 380, 7.4 + 9.8, 9.2 - 8.6). Choose and use appropriate number operations to solve problems, and appropriate ways of calculating: mental, mental with jottings, written methods, calculator. Explain methods and reasoning, orally and in writing. Check the sum of several numbers by adding in the reverse order. Develop calculator skills and use a calculator effectively. Check with the inverse operation when using a calculator. Check with an equivalent calculation. Fractions Halves, quarters, tenths, thirds and fifths Addition Doubles and near doubles Subtraction Mental subtraction involving two-digit numbers Teaching File page Pupil Sheets Textbook page Home Activities Check-ups 2-5, 28-29, 256-263 57-59 67-68 25 21 74-79, 100-106 13 13-15, 25-27 3, 6 5, 8 MATERIALS TOOLBOX Extension book page Resource Sheets 4 5 NHM Mixed Age Planning Page 56 of 68 Downloaded from www.myprimary.co.uk NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 1 Starter Main Teaching Core Activities Support Extension Plenary Year 4 Tune-in TF 256-257 Revising fractions with numerator one 1 Squared paper shapes TF 257-258 Revising halves, quarters, tenths, thirds and fifths with numerators greater than one Pupil Activity TF 258 1 Pupil Sheet 57 Halves, quarters, thirds, fifths and tenths Pupil Activity TF 258 1 Pupil Sheet 57 Provide a similar sheet with questions about halves and quarters only for pupils to do first. Pupil Activity TF 258 Give pupils a set of interlocking cubes of different colours. Write some fractions on the board, e.g. 4/10, 3/5. Ask the pupils to make rectangles with the fraction stated a different colour to the rest of the shape. Discuss children’s work. Year 5 Additional Resources Teacher Notes Tune-in TF 74-75 Two of a kind Revising doubles/near doubles from 20 + 20 to 50 + 50 1 Doubles and near doubles TF 75-76 51 + 51 to 99 + 99 Pupil Activity TF 76 1 Four in a row Textbook page 13 TF 78 Pupil Activity TF 76 1 Four in a row Provide a square showing the numbers 11 – 60. Pupil Activity TF 76 1 Four in a row Provide a square showing a mixture of two and three-digit numbers to double. Follow-up for Textbook page 13 TF 79 Additional notes Extra Resources Review NHM Mixed Age Planning Page 57 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 2 Starter Main Teaching Core Activities Support Year 4 Year 5 Generic Starter TF 2-5 Specific Starter for Addition TF 12-15 2 Mixed numbers TF 258-260 Whole numbers and fractions involving halves, quarters, tenths, thirds and fifths 2 Doubles of multiples of 10 (to 1000), 100 (to 10 000) TF 77 Pupil Activities TF 260 1 Pupil Sheet 58 Mixed numbers 2 Pupil Sheet 59 Mixed numbers Provide the sheet with the shapes already coloured and ask pupils to write down the mixed numbers. Pupil Activities TF 260 1 Pupil Sheet 58 Mixed numbers Additional Resources Teacher Notes 3 Adding several small numbers TF 77-78 Textbook pages 14 –15 TF 78 Textbook pages 14 –15 TF 78 Instead of doing p 14 provide pupils with a set of cards showing similar numbers to those on the page and a set showing the doubles of these numbers. Ask pupils to finding matching cards. Extension Pupil Activities TF 260 2 Pupil Sheet 59 Mixed numbers Textbook pages 14 –15 TF 78 Ask pupils to work in pairs. Each child takes it in turns to choose four two-digit numbers and challenges their partner to add the numbers together as quickly as they can. If their answer is correct (check with a calculator) they score a point. Plenary Specific Starter for Fractions TF 28-29 Follow-up for Textbook pages 14-15 TF 79 Home Activity 3 Check-up 5 Additional notes Extra Resources Review NHM Mixed Age Planning Page 58 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 3 Starter Year 4 Specific Starter for Fractions TF 28-29 Year 5 Additional Resources Teacher Notes Tune-in TF 100-101 Mental strategies Revising subtraction of two-digit numbers 1 Subtracting multiples/near multiples of 10 TF 101-102 Revision: no bridging of a multiple of 100 Main Teaching Further consolidation of mixed numbers. Core Activities Textbook page 67 TF 263 Pupil Activity TF 102 1 Pupil Sheet 13 Multiples/near multiples of 10, no bridging Support Textbook page 67 TF 263 Work through the questions with the pupils as a group answering orally then ask them to complete the page independently. Extension Textbook page 67 TF 263 Write some mixed numbers on the board. Give pupils a set of interlocking cubes of different colours. Ask the pupils to make sets of shapes to represent the numbers. Plenary Follow-up for Textbook page 67 TF 263 Pupil Activity TF 102 1 Pupil Sheet 13 Multiples/near multiples of 10, no bridging Encourage pupils to draw blank number lines and use them to find the answers. Pupil Activity TF 102 1 Pupil Sheet 13 Multiples/near multiples of 10, no bridging Write the total of all the answers to the questions on the board. Pupils must find the total of all their answers using a method of their choice. If their total is not the same they must identify where they have made mistakes. Discuss children’s work. Additional notes Extra Resources Review NHM Mixed Age Planning Page 59 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 4 Starter Year 4 Year 5 Specific Starter for Fractions TF 28-29 Specific Starter for Subtraction TF 16-19 Main Teaching 3 Finding one half, one quarter, one tenth, one third and one fifth of a set TF 260-262 2 Subtracting multiples/near multiples of 10 TF 102-103 Introducing bridging of a multiple of 100 Core Activities Textbook page 68 TF 263 Textbook page 25 TF 105 Support Textbook page 68 TF 263 With the pupils as a group write down the x3, x4, x5 and x10 tables facts before they do the page. Extension Textbook page 68 TF 263 On the board draw a 4x4 grid. Write in the squares multiples of 10. Ask the pupils to draw their own grid and in each matching square write down 2/10 of the number. Repeat to practise finding other fractions of sets, e.g. 2/3, 4/10 Plenary Follow-up for Textbook page 68 TF 263 Textbook page 25 TF 105 Before pupils do the page decide as a group what calculation needs to be done for each question in q1 and 3. Allow pupils to draw blank number lines and use them to find the answers. Textbook page 25 TF 105 Give pairs of pupils two sets of cards, one with three-digit numbers on and the other with two-digit numbers on. Pupils take it in turns to turn a card over from each pile. Both pupils must find the difference between the two numbers. The person who says the correct answer first scores a point. Follow-up for Textbook page 25 TF 105 Home Activity 25 Check-up 21 Additional Resources Teacher Notes Home Activity 6 Additional notes Extra Resources Review NHM Mixed Age Planning Page 60 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 5 Starter Year 4 Year 5 Specific Starter for Fractions TF 28-29 Specific Starter for Subtraction TF 16-19 Main Teaching Further consolidation of finding fractions of a set. Core Activities On the board draw a 4 x 4 grid. Write in the grid multiples of 4 below 100. Ask pupils to draw their own grid and in each matching square write down ¼ of the number. Repeat to practise finding 1/3, 1/5 and 1/10 of a set. Provide pairs of pupils with a set of cards showing the multiples of 4 to 40. Ask them to write down ½ then ¼ of each number. 3 Subtracting a two-digit number from a three-digit number TF 104 Bridging a multiple of 10 only 4 Subtracting a two-digit number from a three-digit number TF 104-105 Bridging multiples of 100 Textbook pages 26-27 TF Support Extension Plenary Provide small groups with a spinner showing ½, ¼, 1/3, 1/5 and 1/10 and a set of cards showing the multiples of 2, 3, 4, 5 and 10 to 100. Place the shuffled cards face down on the table. Pupils take it in turns to pick a card and spin the spinner. They must then find the required fraction of their number. If their answer is right they score a point if they can’t get a whole number answer then they miss a turn. Specific Starter for Fractions TF 28-29 Additional Resources Teacher Notes Textbook pages 26-27 TF For q1 and 3 on each page discuss with the pupils as a group and record what calculations need to be done before pupils work independently. Allow pupils to use number lines to support them. Textbook pages 26-27 TF Ask pupils to make up subtraction word problems. Swap with a partner to answer. Follow-up for Textbook pages 26-27 TF105-106 Check-up 8 NHM Mixed Age Planning Page 61 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Additional notes Extra Resources Review NHM Mixed Age Planning Page 62 of 68 Downloaded from www.myprimary.co.uk NHM Mixed Age Planning Year 2 and Year 3 Spring Term Mixed Age Planning Year 4 & Year 5 Autumn Term Unit Framework topic 4 Unit 12 Understanding + and – Mental calculation strategies (+ and ) 5 days 5 Time, including problems Properties of numbers Reasoning about numbers Teaching File page Objectives: children will be taught to… NHM Topic NHM Section Consolidate understanding of relationship between + and -. Partition into tens and units, adding the tens first. Add or subtract the nearest multiple of 10, then adjust. Add three two-digit multiples of 10, such as 40 + 70 + 50. Use known number facts and place value to add or subtract mentally, including any pair of two-digit whole numbers. Use informal pencil and paper methods to support, record or explain additions/subtractions. Addition to 1000 Addition of two-digit numbers, bridging 100 Measure Time: the calendar Numbers to Millions Place value, comparing and ordering Use, read and write the vocabulary related to time. Read simple timetables and use this year's calendar. Read and write whole numbers in figures and words, and know what each digit represents. Use the vocabulary of comparing and ordering numbers, including symbols such as <, >, , , =. Give one or more numbers lying between two given numbers. Order a set of integers less than 1 million. Order a given set of positive integers. Pupil Sheets Textbook page Home Activities Check-ups 15-17, 83-84 4 5 4-7 2 MATERIALS TOOLBOX 4 11-16, 34-36, 92-96, 326-329 5 43-54 N.G. Shortcut 1 N.L. Shortcut 1 NHM Mixed Age Planning 7-9 Page 63 of 68 Extension book page Resource Sheets E1 3-4, 24-29, 37, 5557 Downloaded from www.myprimary.co.uk NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 1 Starter Year 4 Year 5 Tune-in TF 92 Adding multiples of 10 Tune-in TF 43-44 Thousands, hundreds, tens and units Revising place value for four-digit numbers Main Teaching 1 Adding a two-digit number and a multiple of 10 TF 93 1 Place value to millions TF 44-45 Introducing place value for five/six-/seven-/eight-digit numbers Core Activities Textbook page 15 TF 96 Support Textbook page 15 TF 96 Provide pupils with a number line for support. Extension Textbook page 15 TF 96 Ask pupils to time themselves to see how quickly they can complete the page mentally. Plenary Follow-up for Textbook page 15 TF 96 Pupil Activity TF 45 1 Pupil Sheet 7 Place value Textbook page 4 TF 52 Pupil Activity TF 45 1 Pupil Sheet 7 Place value Provide pupils with place value notation cards to make each number and use to successfully partition it. Pupil Activity TF 45 1 Pupil Sheet 7 Place value Provide pupils with newspaper pages showing examples of large numbers in use. Ask them to cut out any numbers they find and create a poster. For each cut out number they must write it in another way (i.e. in words if it appears in numbers and vice versa) and say something about its digits (e.g. how many tens there are) Follow-up for Textbook page 4 TF 52 Additional Resources Teacher Notes Additional notes Extra Resources Review NHM Mixed Age Planning Page 64 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 2 Starter Year 4 Specific Starter for Addition to 1000 TF 11-16 Main Teaching 2 Adding 11, 21, 31, … and 9, 19, 29 … TF 93-94 Core Activities Pupil Activity TF 94 1 Adding game using dice and cards Year 5 Additional Resources Teacher Notes Specific Starter for Numbers to millions TF 7-11 2 Adding/subtracting powers of 10 TF 45-46 To/from numbers with up to eight digits Pupil Activity TF 46 1 Powers of ten Textbook page 5 TF 52 Support Extension Plenary Textbook page 16 TF 96 Pupil Activity TF 94 1 Adding game using dice and cards Label the die 11, 21, 31, 19, 29, 39 and provide a set of cards showing two-digit numbers less than 50. Pupil Activity TF 94 1 Adding game using dice and cards Provide cards with some three-digit numbers on. Pupil Activity TF 46 1 Powers of ten Provide 6 counters, addition and subtraction cards up to 10 000 and ask pupils to make 6 digit numbers. Pupil Activity TF 46 1 Powers of ten Put more than one zero card into the set of number cards. Follow-up for Textbook page 16 TF 96 Follow-up for Textbook page 5 TF 52-53 Home Activity 4 Home Activity 2 Pupil Sheet 8 Additional notes Extra Resources Review NHM Mixed Age Planning Page 65 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 3 Starter Year 4 Specific Starter for Addition to 1000 TF 11-16 Main Teaching 3 Adding two-digit numbers, bridging 100 TF 95 Core Activities Textbook page 17 TF 96 Support Textbook page 17 TF 96 Allow the pupils to draw number lines to find their answers. Extension Textbook page 17 TF 96 Ask pupils to make up problems similar to q4 and swap with a friend to answer. Plenary Follow-up for Textbook page 17 TF 96 Check-up 5 Year 5 Additional Resources Teacher Notes Specific Starter for Numbers to millions TF 7-11 3 Adding and subtracting powers of 10 TF 47 Using a calculator Pupil Activity TF 48 1 Pupil Sheet 8 Adding/subtracting powers of ten Textbook page 6 TF 52 Pupil Activity TF 48 1 Pupil Sheet 8 Adding/subtracting powers of ten Provide pupils with a set of blank chains similar to those on the sheet and a set of cards labelled +1, -1, +10, -10, +100, -100, +1000, 1000. Put in three starting numbers less than 100 000. Pupils shuffle the cards, pick one, write it onto the chain and perform the calculation. Repeat this until each chain is complete. Pupil Activity TF 48 1 Pupil Sheet 8 Adding/subtracting powers of ten Ask pupils to make up addition and subtraction word problems involving large numbers and powers of 10. Swap with a partner to solve. Follow-up for Textbook page 6 TF 53 Additional notes Extra Resources Review NHM Mixed Age Planning Page 66 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 4 Starter Year 4 Year 5 Tune-in TF 326 Days and months Revising the sequence of months and the number of days in each month 1 Weeks and days TF 327-328 Finding durations from calendars showing consecutive months Specific Starter for Numbers to millions TF 7-11 Core Activities Textbook page 83 TF 328 Pupil Activities TF 49-50 2 Ordering 7-digit numbers Resource Sheet 37 Support Textbook page 83 TF 328 Put the answers to each question on flashcards. Ask the pupils to work in pairs and match each card to a question. Textbook page 83 TF 328 Give pupils a current calendar. Ask each pupil to write down the date of five events happening in their lives this year (e.g. birthdays). Swap events with a partner who has to find out the day of the week each event will take place on. Main Teaching Extension Plenary Follow-up for Textbook page 83 TF 328 Additional Resources Teacher Notes 4 Comparing and ordering numbers TF 48-49 Textbook page 7 TF 52 Pupil Activities TF 49-50 1 Ordering 7-digit numbers Resource Sheet 37 Pupil Activities TF 49-50 3 Inequality cards Resource Sheet 37 Follow-up for Textbook page 7 TF 53 Additional notes Extra Resources Review NHM Mixed Age Planning Page 67 of 68 Downloaded from www.myprimary.co.uk ICT NHM Mixed Age Planning Year 2 and Year 3 Spring Term Week Day 5 Starter Year 4 Year 5 Specific Starter for Time TF 34-36 Specific Starter for Numbers to millions TF 7-11 5 Halfway between TF 50-51 Finding the number halfway between a pair of five- to eight-digit numbers Pupil Activity TF 51 1 Pupil Sheet 9 Numbers halfway between Main Teaching Consolidate Teaching from Day 4 Core Activities Textbook page 84 TF 328 Support Textbook page 84 TF 328 Allow pupils to write down all the days that are included in each time duration and use this to help count the total number of days, and hence weeks, for each question. Textbook page 84 TF 328 Provide pupils with a set of cards showing dates in the year. Pupils take it in turns to pick two cards and find the number of weeks and days between the two dates. Pupil Activity TF 51 1 Pupil Sheet 9 Numbers halfway between For q3 tell pupils to draw a number line for each question to help them find their answer. Extension Teaching TF 54 1 Introducing Roman numerals Follow-up for Textbook page 84 TF 329 Discuss children’s work. Extension Plenary Additional Resources Teacher Notes Extension Textbook page E1 TF 54 Additional notes Extra Resources Review NHM Mixed Age Planning Page 68 of 68 Downloaded from www.myprimary.co.uk ICT