NHM Framework Unit Planning Year 5 Autumn Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 1 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 3 days Teaching File page Pupil Sheets Textbook page Home Activities Check-ups 36-42 N.G. Shortcut 1 N.L. Shortcut 1 1-6 1-3 1 1 MATERIALS TOOLBOX Day 1 Tune-in TF 36-37 Number sequence to 10 000 The number after/before/between and 1,2 more/less than 1 Number sequence to 10 000 TF 37-38 Consolidating sequences in tens/hundreds/thousands Day 2 Specific Starter for Numbers to millions TF 7-11 Day 3 Specific Starter for Numbers to millions TF 7-11 1 Number sequence to 10 000 TF 37-38 Consolidating sequences in tens/hundreds/thousands 2 Number sequence to millions TF 39-41 Introducing numbers with five/six/seven/eight digits Core Activities Pupil Activities TF 38 1 Pupil Sheet 1 Sequences in tens/thousands 3 Pupil Sheet 3 Sequences in thousands Textbook pages 1-2 TF 42 Pupil Activities TF 41 1 Pupil Sheets 4 Sequences using 5and 6- digit numbers 3 Pupil Sheet 6 Sequences using 7and 8-digit numbers Support Pupil Activities TF 38 1 Pupil Sheet 1 Sequences in tens/thousands 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. Starter Main Teaching Extension Pupil Activities TF 38 NHM Year 5 Framework Unit Planning Textbook pages 1-2 TF 42 Number sequence to millions Extension Textbook page Day 4 Textbook page 3 TF 42 Pupil Activities TF 41 1 Pupil Sheets 4 Sequences using 5and 6- digit numbers 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 Page 1 of 23 Downloaded from www.myprimary.co.uk Resource Sheets Day 5 NHM Framework Unit Planning Year 5 Autumn Term Plenary 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. 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 4 Pupil Sheet 5 Template Provide a mixture of sequences using 5, 6, 7 and 8-digit numbers and a variety of step sizes. Follow-up for Textbook page 3 TF 42 Home Activity 1 Check-up 1 Additional notes Extra Resources Review NHM Year 5 Framework Unit Planning Page 2 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 2 Understanding x and 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. Multiplication 5 days 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 Pupil Sheets Textbook page Home Activities Check-ups 132-143 M.F Shortcut 1 Units 5, 6: Multiplication 18-19 35-41 9-11 11-13 MATERIALS TOOLBOX PUPIL ACTIVITY SOFTWARE Main Teaching Day 1 Tune-in TF 132 Multiplying by 10 Revising multiplication of a two/three-/four-digit number by 10 1 Multiplying a two-/three-digit number by 100 TF 132-133 Core Activities Pupil Activities TF 133-134 1 Multiplication game 2 Multiplying a two-digit multiple of 10 by a three-digit multiple of 100 TF 134-135 Pupil Activity TF 135 1 Finding products Textbook page 35 TF 135 Textbook page 36 TF 135 Starter NHM Year 5 Framework Unit Planning Multiplication by 10, 100 Mental strategies Extension Textbook page Resource Sheets 5-6, 16-23, 55-57 Day 2 Specific Starter for Multiplication TF 19-22 Day 3 Tune-in TF 137 Three-in-a-row Revising multiplication tables facts Day 4 Specific Starter for Multiplication TF 19-22 Day 5 Specific Starter for Multiplication TF 19-22 1 Multiplying by 6, 7, 8 and 9 TF 138 2 Multiplying a two-digit number by a single digit TF 139-140 3 Multiplying by 19 and 21 TF 140-141 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. Pupil Activity TF 140 1 Pupil Sheet 18 A two-digit number by a single digit Pupil Activities TF 141 1 Pupil Sheet 19 A teens number by 19, 21 2 Product game Page 3 of 23 Textbook page 40 TF 143 Textbook page 41 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Textbook pages 37-39 TF 142 Support Extension Plenary 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 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 Activities TF 138-139 1 Tables facts 3 Tables facts 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. 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 page 35 TF 136 Follow-up for Textbook page 36 TF 136 Follow-up for Textbook pages 37-39 TF 143 Home Activity 9 Check-up 11 Home Activity 10 Check-up 12 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 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. Follow-up for Textbook page 41 TF 143 Home Activity 11 Check-up 13 Additional notes Extra Resources Review NHM Year 5 Framework Unit Planning Page 4 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 3 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 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 5 days Teaching File page Pupil Sheets Textbook page Home Activities Check-ups 166-171 M.F Shortcut 1 Unit 8: Division 26-27 47-50 12 14 MATERIALS TOOLBOX PUPIL ACTIVITY SOFTWARE Day 1 Tune-in TF 166-167 Dividing by 2, 3, 4, 5 and 10 Revising mental division Day 2 Tune-in TF 166-167 Dividing by 2, 3, 4, 5 and 10 Revising mental division Main Teaching 1 Dividing by 6, 7, 8 and 9 TF 167 Revising mental division 1 Dividing by 6, 7, 8 and 9 TF 167 Revising mental division Core Activities 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. Textbook pages 47-48 TF 170-171 Starter Support NHM Year 5 Framework Unit Planning Textbook pages 47-48 TF 170-171 Provide pupils with a multiplication table for support. Dividing by 2-10, 100, 1000 Extension Textbook page Resource Sheets 7-8, 15-23 Day 3 Specific Starter for Multiplication or Division Day 4 Specific Starter for Multiplication or Division Day 5 Specific Starter for Multiplication or Division TF 19-25 TF 19-25 TF 19-25 2 Dividing by 10, 100 and 1000 TF 168-169 Mental division of three- and fourdigit numbers Textbook page 49 TF 171 3 Divisibility TF 169-170 Introducing divisibility tests Revision/Consolidation Textbook page 50 TF 171 Ask pupils to design a poster which explains the divisibility tests they know. 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 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. Ask pupils to design a poster which explains the divisibility tests they know. Page 5 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Extension Plenary 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. Specific Starter for Division TF 22-25 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 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? Follow-up for Textbook page 49 TF 171 Home Activity 12 Check-up 14 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 Ask pupils to design a poster which explains the divisibility tests they know. 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 Year 5 Framework Unit Planning Page 6 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 4 Fractions, decimals and percentages Ratio and proportion 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. Fractions 5 days Teaching File page Pupil Sheets Textbook page Home Activities Check-ups 192-202 Unit 9: Fractions 36-39 56-58 13 17 MATERIALS PUPIL ACTIVITY SOFTWARE Starter Main Teaching Core Activities Day 1 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 Day 2 Specific Starter for Fractions TF 26-29 2 Introducing sevenths, ninths, twelfths and twentieths TF 196-197 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 NHM Year 5 Framework Unit Planning Day 3 Specific Starter for Fractions TF 26-29 Fraction of a shape; equivalence Extension Textbook page Resource Sheets 38 Day 4 Specific Starter for Fractions Day 5 Specific Starter for Fractions TF 26-29 TF 26-29 3 Equivalent fractions TF 197-199 Extending equivalence to include ninths, twelfths and twentieths 4 Comparing and ordering fractions TF 199-201 Revision/Consolidation Pupil Activity TF 197 1 Pupil Sheet 38 Sevenths, 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. Textbook page 58 TF 201 Textbook page 56 TF 201 Textbook page 57 TF 201 Pupil Activity TF 197 1 Pupil Sheet 38 Sevenths, ninths, twelfths and twentieths Pupil Activity TF 199 1 Pupil Sheet 39 Equivalence 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 Page 7 of 23 Textbook page 58 TF 201 Provide pupils with the equivalent fractions chart (Resource Sheet 38) for support. Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Extension 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. Plenary Discuss children’s work 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. Ask pupils to design a poster explaining equivalent fractions to an alien. They could use examples of equivalent fractions and strategies for finding them. Follow-up for Textbook page 56 TF 201 Follow-up for Textbook page 57 TF 202 Home Activity 13 Check-up 17 TF 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 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. 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. Additional notes Extra Resources Review NHM Year 5 Framework Unit Planning Page 8 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 4 Fractions, decimals and percentages Ratio and proportion 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. Fractions 5 days Teaching File page Pupil Sheets Textbook page Home Activities Check-ups 192-202 Unit 9: Fractions 36-39 56-58 13 17 MATERIALS PUPIL ACTIVITY SOFTWARE Starter Main Teaching Core Activities Day 1 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 Day 2 Specific Starter for Fractions TF 26-29 2 Introducing sevenths, ninths, twelfths and twentieths TF 196-197 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 NHM Year 5 Framework Unit Planning Day 3 Specific Starter for Fractions TF 26-29 Fraction of a shape; equivalence Extension Textbook page Resource Sheets 38 Day 4 Specific Starter for Fractions Day 5 Specific Starter for Fractions TF 26-29 TF 26-29 3 Equivalent fractions TF 197-199 Extending equivalence to include ninths, twelfths and twentieths 4 Comparing and ordering fractions TF 199-201 Revision/Consolidation Pupil Activity TF 197 1 Pupil Sheet 38 Sevenths, 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. Textbook page 58 TF 201 Textbook page 56 TF 201 Textbook page 57 TF 201 Pupil Activity TF 197 1 Pupil Sheet 38 Sevenths, ninths, twelfths and twentieths Pupil Activity TF 199 1 Pupil Sheet 39 Equivalence 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 Page 9 of 23 Textbook page 58 TF 201 Provide pupils with the equivalent fractions chart (Resource Sheet 38) for support. Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Extension 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. Plenary Discuss children’s work 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. Ask pupils to design a poster explaining equivalent fractions to an alien. They could use examples of equivalent fractions and strategies for finding them. Follow-up for Textbook page 56 TF 201 Follow-up for Textbook page 57 TF 202 Home Activity 13 Check-up 17 TF 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 comparison card and lay the three cards out to make a correct statement. Provide pupils with the equivalent fractions chart for support. 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. Additional notes Extra Resources Review NHM Year 5 Framework Unit Planning Page 10 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 6 Handling data Using a calculator 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 8 days Teaching File page Pupil Sheets Textbook page 376-386 72 119-122 Home Activities Check-ups MATERIALS Using the Data Handling processes Extension Textbook page Resource Sheets 12-14, 53, 54 Day 1 Tune-in TF 376-377 Reading scales Interpreting the frequency axis Day 2 Generic Starter TF 2-5 Day 3 Generic Starter TF 2-5 Day 4 Generic Starter TF 2-5 Days 5-8 Generic Starter TF 2-5 Main Teaching 1 From bar chart to bar line chart TF 377-378 Introducing bar line charts Consolidate Teaching from Day 1 2 Using a database TF 379-380 Extracting information from a table 3 Ticket sales TF 380-381 Introducing range and mode Revision/Consolidation Core Activities Textbook page 119 TF 382 Textbook page 120 TF 382 Textbook page 121 TF 382 Pupil Activity TF 381 1 Pupil Sheet 72 Organising and interpreting Support 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 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 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. 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. 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 Starter NHM Year 5 Framework Unit Planning Page 11 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Extension 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. 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. 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. 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 119 TF 382 Follow-up for Textbook page 120 TF 382 Follow-up for Textbook page 121 TF 383 Follow-up for Textbook page 122 TF 383 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. Discuss children’s work Additional notes Extra Resources Review NHM Year 5 Framework Unit Planning Page 12 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section Recognise properties of rectangles. Classify triangles (isosceles, equilateral, scalene), using criteria such as equal sides, equal angles, lines of symmetry. Make shapes with increasing accuracy. 2D Shape Shape and space 8 5 days Reasoning about shapes Teaching File page Pupil Sheets Textbook page 332-338 S.T. Shortcut 2, 4, 6 S.M. Shortcut 1 Unit 19: Shape 64-65 104-106 Home Activities Check-ups MATERIALS TOOLBOX PUPIL ACTIVITY SOFTWARE Starter Main Teaching 2D Shape: properties Extension Textbook page Resource Sheets 48 Day 1 Tune-in TF 332 Find me Revising the properties of equilateral and isosceles triangles, quadrilaterals and other polygons Day 2 Generic Starter TF 2-5 Day 3 Generic Starter TF 2-5 Day 4 Generic Starter TF 2-5 Day 5 Generic Starter TF 2-5 1 Parallel and perpendicular lines 2 Diagonal lines TF 334-335 3 Properties of a triangle TF 336-337 Revision/Consolidation Revision/Consolidation Pupil Activity TF 335 1 Pupil Sheet 64 Diagonals Pupil Activities TF 337 1 Making triangles Pupil Activities TF 337 3 Making triangles Resource Sheet 48 Textbook page 106 TF 338 Pupil Activities TF 337 2 Pupil Sheet 65 Triangles Copy the sheet onto card and cut out the triangles or provide pupils with a mixture of readymade triangles. Put flashcards on the table labelled equilateral, isosceles, right-angled and scalene. Ask pupils to work in pairs and place Pupil Activities TF 337 1 Making triangles TF 333-334 Core Activities Textbook page 104 TF 337 Support Textbook page 104 TF 337 In q3 instead of answering a-d, give pupils a sheet with the shapes on and ask them to label any parallel or perpendicular lines on the shapes that they can spot. NHM Year 5 Framework Unit Planning Textbook page 105 TF 337 Pupil Activity TF 335 1 Pupil Sheet 64 Diagonals On the sheet highlight the vertices on each shape with a coloured marker and remind pupils all diagonals must join up vertices so must start and end at a coloured point. Page 13 of 23 Textbook page 106 TF 338 Make large copies of the triangles on the page. Work with the pupils as a group to describe each triangle in terms of its sides and angles. Ask pupils to work in pairs to try and find which triangles fit the Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Extension Plenary Textbook page 104 TF 337 Ask pupils to make a poster describing examples of parallel and perpendicular lines in the classroom and outside world. Discuss children’s work Pupil Activity TF 335 1 Pupil Sheet 64 Diagonals Provide pairs of pupils with a set of other 2D shapes. For each one ask them to say how many diagonals there are without drawing them. They can then check their answer by drawing. Follow-up for Textbook page 105 TF 338 each triangle next to the right card. Pupil Activities TF 337 1 Making triangles Follow-up for Textbook page 106 TF 338 descriptions. Pupil Activities TF 337 3 Making triangles Resource Sheet 48 Is there a way of knowing that all the triangles possible have been drawn? Discuss children’s work. Textbook page 106 TF 338 Ask pupils to make up some other descriptions for triangles and swap with a partner to draw triangles that match them. Discuss children’s work. Additional notes Extra Resources Review NHM Year 5 Framework Unit Planning Page 14 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Unit/ Days Framework topic 9 5 days Measures, including problems 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 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. Length Teaching File page Pupil Sheets Textbook page 300-308 58 89-94 Home Activities Check-ups MATERIALS Length Extension Textbook page E13 Resource Sheets Day 1 Tune-in TF 300-301 Metres and centimetres Revising the relationship between metres/half-metres/quarter metres and centimetres Day 2 Generic Starter TF 2-5 Day 3 Generic Starter TF 2-5 Day 4 Generic Starter TF 2-5 Day 5 Generic Starter TF 2-5 1 How long is a piece of string? TF 301302 Recording lengths in different forms Textbook page 89 TF 306 2 Rods TF 302-303 Introducing the tenth of a metre 4 Measuring longer lengths TF 303-304 Using the kilometre Pupil Activity 1 TF 304 1 Metre/kilometre card game 5 Perimeter TF 304-305 More complex shapes Textbook page 90 TF 306 3 Measuring short lengths TF 303 Using the millimetre Textbook page 91 TF 306 Support 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. Extension 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 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 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 Starter Main Teaching Core Activities NHM Year 5 Framework Unit Planning Page 15 of 23 Textbook pages 92-93 TF 306 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 Pupil Activities TF 305 1 Pupil Sheet 58 Perimeter Textbook page 94 TF 307 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 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Plenary 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 shortest to longest. them to estimate then measure these items. pick two cities and find the distance between them in km. They could then convert the distance to m. TF 308 Follow-up for Textbook page 90 TF 307 Follow-up for Textbook page 91 TF 307 Follow-up for Textbook pages 92-93 TF 307-308 Follow-up for Textbook page 94 TF 308 Additional notes Extra Resources Review NHM Year 5 Framework Unit Planning Page 16 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 10 Measures, including problems Understand area measured in square centimetres (cm2). Understand and use the formula in words 'length × breadth' for the area of a rectangle. Area 5 days Teaching File page Pupil Sheets Textbook page 276-284 Unit 17: Measures 53-54 82-84 Home Activities Check-ups MATERIALS PUPIL ACTIVITY SOFTWARE Area Extension Textbook page E14-E15 Resource Sheets Day 1 Tune-in TF 276-277 Picture cards Revising the area of shapes in cm² Day 2 Generic Starter TF 2-5 Day 3 Generic Starter TF 2-5 Day 4 Generic Starter TF 2-5 Day 5 Generic Starter TF 2-5 Main Teaching 1 Squares and rectangles TF 277-279 Introducing the formula 2 Irregular shapes TF 279-280 3 Square metres TF 280-281 Revision/Consolidation Further Teaching TF 281-282 1 Introducing square millimetres Core Activities Pupil Activities TF 279 1 Rectangles 2 Pupil Sheet 53 Formula for a rectangle cm² Pupil Activities TF 280 1 Pupil Sheet 54 Irregular shapes by counting squares, cm² Pupil Activity TF 281 1 Square metres Textbook page 84 TF 282 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). Pupil Activity TF 281 1 Square metres Provide the pupils with a square metre made out of paper. Textbook page 84 TF 282 Provide pupils with the tiles already made. 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. Starter 3 Mosaics Textbook page 82 TF 282 Support 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. NHM Year 5 Framework Unit Planning 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 Page 17 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term the part squares. Extension Pupil Activities TF 279 2 Pupil Sheet 53 Formula for a rectangle cm² Pupil Activities TF 280 2 Approximate areas Ask pupils to draw all the shapes they can with an area of say 24cm2 Plenary Follow-up for Textbook page 82 TF 282 Follow-up for Textbook page 83 TF 283 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. 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? Extension Textbook E14-E15 TF 283-284 Follow-up for Textbook page 84 TF 283 Discuss children’s work. Additional notes Extra Resources Review NHM Year 5 Framework Unit Planning Page 18 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 11 Mental calculation strategies (+ and -) Pencil and paper procedures (+ and -) 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. Addition Doubles and near doubles Subtraction Mental subtraction involving two-digit numbers 5 days Money and ‘real life’ problems Making decisions and checking results, including using a calculator Teaching File page Pupil Sheets Textbook page Home Activities Check-ups 74-79, 100-106 Unit 3: Addition Unit 4: Subtraction 13 13-15, 25-27 3, 6 5, 8 MATERIALS PUPIL ACTIVITY SOFTWARE Starter Main Teaching Resource Sheets Day 1 Tune-in TF 74-75 Two of a kind Revising doubles/near doubles from 20 + 20 to 50 + 50 Day 2 Specific Starter for Addition TF 12-15 Day 3 Tune-in TF 100-101 Mental strategies Revising subtraction of two-digit numbers Day 4 Specific Starter for Subtraction TF 16-19 Day 5 Specific Starter for Subtraction TF 16-19 1 Doubles and near doubles TF 75-76 51 + 51 to 99 + 99 2 Doubles of multiples of 10 (to 1000), 100 (to 10 000) TF 77 1 Subtracting multiples/near multiples of 10 TF 101-102 Revision: no bridging of a multiple of 100 2 Subtracting multiples/near multiples of 10 TF 102-103 Introducing bridging of a multiple of 100 Pupil Activity TF 102 1 Pupil Sheet 13 Multiples/near multiples of 10, no bridging Textbook page 25 TF 105 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 3 Adding several small numbers TF 77-78 Core Activities Extension Textbook page Pupil Activity TF 76 1 Four in a row Textbook page 13 TF 78 NHM Year 5 Framework Unit Planning Textbook pages 14 –15 TF 78 Page 19 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Support Pupil Activity TF 76 1 Four in a row Provide a square showing the numbers 11 – 60. 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. 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. Extension Pupil Activity TF 76 1 Four in a row Provide a square showing a mixture of two and three-digit numbers to double. 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 Follow-up for Textbook page 13 TF 79 Follow-up for Textbook pages 14-15 TF 79 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. Home Activity 3 Check-up 5 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. 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. Follow-up for Textbook page 25 TF 105 Follow-up for Textbook pages 26-27 TF105-106 Home Activity 6 Check-up 8 Textbook pages 26-27 TF Ask pupils to make up subtraction word problems. Swap with a partner to answer. Additional notes Extra Resources Review NHM Year 5 Framework Unit Planning Page 20 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 12 Properties of numbers Reasoning about numbers 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. Numbers to Millions 5 days Teaching File page Pupil Sheets Textbook page Home Activities 43-54 N.G. Shortcut 1 N.L. Shortcut 1 Unit 2: Numbers to millions 7-9 4-7 2 Check-ups MATERIALS TOOLBOX PUPIL ACTIVITY SOFTWARE Starter Main Teaching Core Activities Place value, comparing and ordering Extension Textbook page E1 Resource Sheets 3-4, 24-29, 37, 55-57 Day 1 Tune-in TF 43-44 Thousands, hundreds, tens and units Revising place value for four-digit numbers 1 Place value to millions TF 44-45 Introducing place value for five/six-/seven-/eight-digit numbers Day 2 Specific Starter for Numbers to millions TF 7-11 Day 3 Specific Starter for Numbers to millions TF 7-11 Day 4 Specific Starter for Numbers to millions TF 7-11 Day 5 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 3 Adding and subtracting powers of 10 TF 47 Using a calculator 4 Comparing and ordering numbers TF 48-49 5 Halfway between TF 50-51 Finding the number halfway between a pair of five- to eight-digit numbers Pupil Activity TF 45 1 Pupil Sheet 7 Place value Pupil Activity TF 46 1 Powers of ten Pupil Activity TF 48 1 Pupil Sheet 8 Adding/subtracting powers of ten Pupil Activities TF 49-50 2 Ordering 7-digit numbers Resource Sheet 37 Pupil Activity TF 51 1 Pupil Sheet 9 Numbers halfway between Textbook page 6 TF 52 Textbook page 7 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 Pupil Activities TF 49-50 1 Ordering 7-digit numbers Resource Sheet 37 Textbook page 5 TF 52 Textbook page 4 TF 52 Support 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. NHM Year 5 Framework Unit Planning 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. Page 21 of 23 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. Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Extension Plenary 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 Pupil Activity TF 46 1 Powers of ten Put more than one zero card into the set of number cards. 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 5 TF 52-53 Follow-up for Textbook page 6 TF 53 Pupil Activities TF 49-50 3 Inequality cards Resource Sheet 37 Extension Teaching TF 54 1 Introducing Roman numerals Extension Textbook page E1 TF 54 Follow-up for Textbook page 7 TF 53 Discuss children’s work. Home Activity 2 Pupil Sheet 8 Additional notes Extra Resources Review NHM Year 5 Framework Unit Planning Page 22 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Autumn Term Unit 1 TB 1 TB 2 TB 3 HA 1 CU 1 Unit 2 TB 35 TB 36 HA 9 CU 11 TB 37 TB 38 Unit 3 TB 47 TB 48 TB 49 HA 12 CU 14 TB 50 Unit 4 TB 56 HA 13 TB 57 CU 17 TB 58 Unit 5 TB 62 TB 63 HA 15 CU 19 TB 64 Unit 6 TB 119 TB 120 TB 121 TB 122 Unit 8 TB 104 TB 105 TB 106 Unit 9 TB 89 TB 90 TB 91 TB 92 TB 93 Unit 10 TB 82 TB 83 TB 84 EX 14 EX 15 Unit 11 TB 13 TB 14 TB 15 HA 3 Unit 12 TB 4 TB 5 HA 2 TB 6 NHM Year 5 Framework Unit Planning TB 39 HA 10 CU 12 TB 65 TB 66 HA 16 CU 20 TB 94 EX 13 CU 5 TB 25 HA 6 TB 26 TB 27 TB 7 EX 1 Page 23 of 23 TB 40 TB 41 HA 11 CU 13 CU 8 Downloaded from www.myprimary.co.uk