NHM Framework Unit Planning Year 5 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 1 Place value, ordering and rounding Using a calculator Use the vocabulary of estimation and approximation. Make and justify estimates of large numbers, and estimate simple proportions such as one third, seven tenths. Round any integer up to 10000 to the nearest 10, 100 or 1000. Estimate by approximating (round to nearest 10 or 100), then check result. Develop calculator skills and use a calculator effectively. Numbers to Millions 3 days Teaching File page Pupil Sheets Textbook page 60-67 N.L. Shortcut 3 Unit 1: Numbers to millions 11 10-12 Home Activities MATERIALS TOOLBOX PUPIL ACTIVITY SOFTWARE Starter Main Teaching Day 1 Tune-in TF 60-61 Train journey Revising estimation of a number from its position on a 0-100 number line 1 Washing line TF 61-63 Estimating numbers on 0-100, 0-200 and 0-50 lines Day 2 Specific Starter for Numbers to millions TF 7-11 Day 3 Specific Starter for Numbers to millions TF 7-11 2 Revising rounding of threedigit numbers TF 63-64 4 Rounding to find an approximate total/difference TF 65-66 3 Introducing rounding of fourdigit numbers TF 64-65 Textbook pages 11-12 TF 67 Core Activities Textbook page 10 TF 67 Support Textbook page 10 TF 67 Provide pupils with an acetate with lines which fit over the number lines on the page and are marked off into ten sections. Pupils can use this to make sensible estimates. Textbook pages 11-12 TF 67 For each question ask children to draw a number line labelling each end the 10 or 100 either side of the number. They can then decide where their number would go on the line and decide the 10/100 it is nearest to. Extension Textbook page 10 TF 67 Ask pupils to draw some blank lines 10cm long and labelled 0 at one end and 1000 at the other. In pairs they must take it in turns to challenge Textbook pages 11-12 TF 67 Provide pupils with a set of four and five digit number cards. Ask them to select a card and write the number down then round it to the NHM Year 5 Framework Unit Planning Check-ups/ Topic Assessment 4 1a, b Day 4 Estimating and rounding Extension Textbook page Resource Sheets 22-23 Day 5 Pupil Activity TF 66 1 Pupil Sheet 11 Approximating Pupil Activity TF 66 1 Pupil Sheet 11 Approximating Write the numbers involved in the calculations on the board. Ask pupils to work in pairs and round them to the nearest 1000/100. Discuss the pupils’ answers then ask them to use them to complete the sheet. Pupil Activity TF 66 1 Pupil Sheet 11 Approximating On the board write some addition and subtraction statements involving four digit numbers, e.g. Page 1 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Summer Term Plenary their partner to estimate the position of a number on the line. Their partner must mark on their estimate. After several goes show the children how to use a ruler to see how accurate the estimates were. Follow-up for Textbook page 10 TF 67 nearest 10/100/1000. Follow-up for Textbook pages 1112 TF 67 5672 + 2439 = 8111. Give some with correct and some with incorrect answers. Ask pupils to estimate each answer by rounding the numbers and identify which are incorrect. Check-up 4 Topic Assessment 1a, b 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 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 2 Understanding x and Mental calculation strategies (x and ) 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. Begin to use brackets. Use the relationship between multiplication and division. Use known facts and place value to multiply and divide mentally. Approximate first. Use informal pencil and paper methods to support, record or explain multiplications and divisions. Extend written methods to: short multiplication of HTU or U.t by U; long multiplication of TU by TU; 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 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 150-157 M.F. Shortcut 1 22-25 44-46 Home Activities MATERIALS TOOLBOX Check-ups/Topic Assessment 4a, b Written methods of multiplication Extension Textbook page E5 Resource Sheets Day 1 Tune-in TF 150-151 Revising mental multiplication of a two-digit number by a single digit 1 The ‘Cross’ method TF 151 Multiplying a three-digit number by a single digit Day 2 Specific Starter for Multiplication and Division TF 19-25 Day 3 Specific Starter for Multiplication and Division TF 19-25 Day 4 Specific Starter for Multiplication and Division TF 19-25 Day 5 Specific Starter for Multiplication and Division TF 19-25 2 Developing a standard written method TF 152-153 Multiplying a three-digit number by a single digit 3 The ‘cross’ method TF 153-154 Multiplying a two-digit number by a two-digit number 4 Introducing a standard written method TF 155 Multiplying a two-digit number by a two-digit number Revision/Consolidation Core Activities Pupil Activity TF 152 1 Pupil Sheet 22 A three-digit number by a single digit, ‘cross’ method Pupil Activity TF 153 1 Pupil Sheet 23 A three-digit number by a single digit, expanded → standard recording Pupil Activity TF 154 1 Pupil Sheet 24 A two-digit number by a two-digit number, ‘cross’ method Pupil Activity TF 155 1 Pupil Sheet 25 A two-digit number by a two-digit number, standard recording (most significant digits first) Textbook pages 45-46 TF 156 Support Pupil Activity TF 152 1 Pupil Sheet 22 A three-digit number by a single digit, ‘cross’ method Pupil Activity TF 154 1 Pupil Sheet 24 A two-digit number by a two-digit number, ‘cross’ method Pupil Activity TF 155 1 Pupil Sheet 25 A two-digit number by a two-digit number, standard recording (most Textbook pages 45-46 TF 156 Allow pupils to use an informal method such as the ‘cross’ method to find the answers to the questions. Starter Main Teaching NHM Year 5 Framework Unit Planning Textbook page 44 TF 156 Pupil Activity TF 153 1 Pupil Sheet 23 A three-digit number by a single digit, expanded → standard Page 3 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Summer Term Work with the pupils as a group and complete the grid section of q37. Ask them to complete the questions independently. Extension Pupil Activity TF 152 1 Pupil Sheet 22 A three-digit number by a single digit, ‘cross’ method Ask pupils to decide whether the method would work for multiplying four digit numbers or larger. Ask them to explain why they are sure it would work, giving examples of calculations to prove their thinking. Plenary Discuss children’s work. recording Put the questions on the board and allow pupils to continue using the informal ‘cross’ method to find the answers. Pupil Activity TF 153 1 Pupil Sheet 23 A three-digit number by a single digit, expanded → standard recording Provide pairs of pupils with a set of three- and four-digit number cards, a 0-9 die and a calculator. Ask them to take it in turns to select a number and roll the die to see what the number must be multiplied by. They must find the answer using a method of their choice whilst their partner finds the answer using the calculator. Who is fastest? Follow-up for Textbook page 44 TF 157 Work with pupils together and complete the grid section of q3-5 before asking them to find the answers independently Pupil Activity TF 154 1 Pupil Sheet 24 A two-digit number by a two-digit number, ‘cross’ method Thinking about the previous lessons’ work ask pupils to work in pairs and discuss how they might be able to simplify the cross method to make a more efficient way of multiplying two two-digit numbers. Discuss their ideas as a group asking them to think of examples to explain their thoughts. Discuss children’s work. significant digits first) Put the questions on the board and allow pupils to continue using the informal ‘cross’ method to find the answers. Textbook pages 45-46 TF 156 Discuss children’s work. Extension Textbook page E5 TF 155 Follow-up for Textbook pages 45-46 TF 157 Topic Assessment 4a, b 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 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 3 Understanding x and Begin to express a quotient as a fraction, or as a decimal when dividing a whole number by 2, 4, 5 or 10, or when dividing £.p. Round up or down after division, depending on the context. Use the relationship between multiplication and division. Use known facts and place value to multiply and divide mentally. Approximate first. Use informal pencil and paper methods to support, record or explain multiplications and divisions. Extend written methods to: short division of HTU by U (with integer remainder). 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 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 178-188 M.F. Shortcut 1 30-35 53-55 Home Activities MATERIALS TOOLBOX Starter Main Teaching Core Activities Support Day 1 Tune-in TF 178 Multiplying and dividing Revising mental multiplication and division by 2–10 1 Division of three-digit numbers TF 179 Using an informal written method Pupil Activity TF 179 1 Division of three-digit numbers by single-digits Pupil Activity TF 179 1 Division of three-digit numbers by single-digits NHM Year 5 Framework Unit Planning Dividing three-digit numbers; remainders Check-ups/Topic Assessment 16 5a, b Extension Textbook page E6-E7 Resource Sheets 7-8 Day 2 Tune-in TF 178 Multiplying and dividing Revising mental multiplication and division by 2–10 2 Division of three-digit numbers TF 180 Developing a standard written method, two-digit quotients Pupil Activities TF 180 1 Pupil Sheet 30 By 6–9, teens quotients 2 Pupil Sheet 32 By 2–9, two-digit quotients Day 3 Specific Starter for Multiplication or Division TF 19-25 Day 4 Specific Starter for Multiplication or Division TF 19-25 Day 5 Specific Starter for Multiplication or Division TF 19-25 3 Division of three-digit numbers TF 180 Developing a standard written method, three-digit quotients Pupil Activities TF 181 1 Pupil Sheet 33 By 2–9, three-digit quotients 2 Pupil Sheet 34 Template Textbook pages 53-54 TF 184 4 Division using a calculator TF 181-182 Rounding the display to the nearest whole number Pupil Activities TF 180 1 Pupil Sheet 30 By 6–9, teens quotients Pupil Activities TF 181 1 Pupil Sheet 33 By 2–9, three-digit quotients Pupil Activity TF 182 1 Pupil Sheet 35 For each question provide pupils with a number Further Teaching TF 182-183 1 Checking division Finding approximate answers 2 An alternative standard written method Using place value sharing On the board write some division questions. Ask pupils to find the approximate answers using a method of their choice. Discuss the different methods used. Ask pupils to find the exact answers to the questions and see how close their estimates were. Provide pupils with a set of cards showing three-digit numbers. Ask them to pick a card and round the number to the nearest Pupil Activity TF 182 1 Pupil Sheet 35 Rounding quotients to the nearest whole number Textbook page 55 TF 184 Page 5 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Summer Term Provide pupils with a tables square to support them in their calculations. Provide pupils with a tables square to support them in their calculations. Extension Pupil Activity TF 179 1 Division of three-digit numbers by single-digits Provide pairs of pupils with two sets of questions. Using a set each, pupils must independently find the answers. They must then swap their questions and answers with their partner who must check them using multiplication. Pupil Activities TF 180 3 Pupil Sheet 31 Template Provide a mixture of questions including some which will lead to remainders. Provide further questions on the board which pupils must set out for themselves. Pupil Activities TF 181 2 Pupil Sheet 34 Template Provide a mixture of questions on the board including some involving the division of a fourdigit number by a single digit number and some which lead to remainders. Pupils must set the questions out themselves. Plenary Discuss the different strategies children used. Ask children to explain the written methods they used. Follow-up for Textbook pages 53-54 TF 184 line with the ends labelled with the two whole numbers the answer is between and split into tenths. Ask them to mark on the line the approximate position of their number and use the line to decide which whole number is nearest to. Extension Textbook pages E6 TF 187 10 and 100 drawing blank number lines if necessary. When confident, ask them to look at the questions on the board and see if they can estimate the answers using rounding. Extension Textbook pages E7 TF 187 Ask pupils to compare some fiction books and see which have the most/least words in. Follow-up for Textbook page 55 TF 184 Follow-up for Extension Textbook pages E6-E7 TF 187-188 Check-up 16 Topic Assessment 5a, b 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 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 4 Fractions, decimals and percentages Decimals 5 days Ratio and proportion 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). Teaching File page Pupil Sheets Textbook page 227-240 N.L. Shortcut 4 Unit 12: Decimals 43-44 67-71 Home Activities Check-ups MATERIALS TOOLBOX PUPIL ACTIVITY SOFTWARE 21 Starter Day 1 Specific Starter for Decimals TF 29-32 Day 2 Specific Starter for Decimals TF 29-32 Day 3 Specific Starter for Decimals TF 29-32 Main Teaching 5 Using a standard written method for addition TF 227 6 Using a written method for subtraction TF 227-228 7 Mental Multiplication of decimals TF 228 Core Activities Textbook page 67 TF 229 Textbook page 68 TF 229 Textbook page 69 TF 229 Support Textbook page 67 TF 229 Allow children to use an expanded written method to find the answers. Textbook page 68 TF 229 Allow children to use an expanded written method to find the answers. Extension Textbook page 67 TF 229 Provide pupils with a set of cards showing numbers to one decimal Textbook page 68 TF 229 Ask pupils to make up their own four names for aliens and their NHM Year 5 Framework Unit Planning Textbook page 69 TF 229 Provide pupils with a table square to help them in their calculations. For q2 and 3 remind the pupils to multiply the units and tenths separately then add the answers. Textbook page 69 TF 229 Extension Textbook page E8 TF 231 Page 7 of 23 Tenths Hundredths Extension Textbook page E8 Day 4 Tune-in TF 232-233 Squares Revising hundredths of a shape 1 Square and number lines TF 233-234 Introducing decimal notation for hundredths Pupil Activities TF 234 1 Pupil Sheets 43 Template 2 Pupil Sheet 44 Hundredths, concept Resource Sheets 42 Day 5 Specific Starter for Decimals TF 29-32 2 Comparing and ordering decimals TF 235-236 Pupil Activities TF 236-237 1 Decimals card game 2 Three-digit decimal game Textbook page 71 TF 237 Textbook page 70 TF 237 Pupil Activities TF 234 1 Pupil Sheets 43 Template Pupil Activities TF 236-237 2 Three-digit decimal game Pupil Activities TF 234 2 Pupil Sheet 44 Hundredths, concept Pupil Activities TF 236-237 1 Decimals card game Ask pupils to play the game in pairs. Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Summer Term Plenary place less than 50. Ask them to pick three or four numbers and find their total. spaceships. They must then decide how long each spaceship is (lengths must be less than 100m and given to one decimal place) and make up clues to work out which alien owns which spaceship. Swap with a partner to solve. Follow-up for Textbook page 67 TF 230 Follow-up for Textbook page 68 TF230 Provide pupils with a set of cards made up of matching pairs of numbers shown in fraction form and decimal fraction form, e.g. 23.56 and 23 56/100. Pupils can use the cards to play pelmanism. Follow-up for Textbook page 69 TF 231 Follow-up for Textbook page 70 TF 239 Shuffle two sets of 0-9 cards and place them face down on the table. Add a ‘tens’ box to the baseboard. Having decided whether to aim for the largest or smallest number, players take it in turns to pick a card and put it on their board. When each player has placed four cards compare the numbers. Follow-up for Textbook page 71 TF 239 Check-up 21 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 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 5 Fractions, decimals and percentages Ratio and proportion Use decimal notation for tenths and hundredths. Know what each digit represents in a number with up to two decimal places. 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). Begin to understand percentage as the number of parts in every 100, and find simple percentages of small whole-number quantities (e.g. 25% of £8). Express one half, one quarter, three quarters, and tenths and hundredths, as percentages (e.g. know that 3/4 = 75%). Decimals Hundredths Percentages Percentages 5 days Teaching File page Pupil Sheets Textbook page 237-243, 246-250 N.L. Shortcut 4 Unit 13: Percentages 45-46 72-76 Home Activities MATERIALS TOOLBOX PUPIL ACTIVITY SOFTWARE Check-ups/Topic Assessment 7a, b, 8 Extension Textbook page E9-E10 Resource Sheets 30,55-57 Day 1 Specific Starter for Decimals TF 29-32 3 Mental methods TF 237-238 Adding and subtracting three-digit decimals Day 2 Specific Starter for Decimals TF 29-32 4 Written methods TF 238 Adding and subtracting three-/fourdigit decimals Day 3 Tune-in TF 246-247 Revising hundredths 1 Introducing percentages TF 247-248 Day 4 Tune-in TF 246-247 Revising hundredths 1 Introducing percentages TF 247-248 Day 5 Generic Starter TF 2-5 Core Activities Textbook page 72 TF 238 Textbook page 73-74 TF 238 Pupil Activities TF 249 1 Colouring in cubes Ask pupils to make their own strips using cubes of different colours and record the percentage of the strip which is each colour. Pupil Activities TF 249 2 Percentage pelmanism 3 Card game Textbook pages 75-76 TF 250 Support Textbook page 72 TF 238 Allow children to use informal jottings such as blank number lines to help them find the answers. Textbook page 73-74 TF 238 Provide pupils with a template for doing the calculations on which has the tens, units, tenths and hundredths columns clearly marked along with the decimal points. Pupil Activities TF 249 4 Pupil Sheet 45 Concept 5 Pupil Sheet 46 Template Pupil Activities TF 249 1 Colouring in cubes Pupil Activities TF 249 2 Percentage pelmanism Shuffle the cards and place them face up on the table. Ask pupils to work in pairs to find the matching cards. When they have had Starter Main Teaching NHM Year 5 Framework Unit Planning Page 9 of 23 Revision/Consolidation Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Summer Term Pupils can then position their numbers on the template correctly and carry out the calculations. Extension Plenary Textbook page 72 TF 238 In q4b ask pupils to find all the different solutions to the square they can. Follow-up for Textbook page 72 TF 240 sufficient practise they can do p76. Textbook pages 75-76 TF 250 Textbook page 73-74 TF 238 Extension Textbook page E9 TF 243 Pupil Activities TF 249 2 Percentage pelmanism 3 Card game Follow-up for Textbook pages 73-74 TF 240 Topic Assessment 7a, b Discuss children’s work Pupil Activities TF 249 2 Percentage pelmanism 3 Card game Textbook pages 75-76 TF 250 Discuss children’s work Extension Textbook E10 TF 252 Follow-up for Textbook pages 75-76 TF 250 Topic Assessment 8 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 Summer 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 Home Activities Check-ups MATERIALS 383-386 Using the Data Handling processes (cont.) Extension Textbook page E19-E22 Resource Sheets Starter Day 1 Generic Starter TF 2-5 Day 2 Generic Starter TF 2-5 Day 3 Generic Starter TF 2-5 Day 4 Generic Starter TF 2-5 Days 5 Generic Starter TF 2-5 Days 6-8 Generic Starter TF 2-5 Main Teaching Revise bar-line graphs from Autumn term unit 6 Revise methods of collecting data. In particular consider questionnaires and what makes successful questions. If possible introduce children to software packages appropriate for data collection and allow them to be used in the rest of the unit. Ask children to devise a method of collection for their research. This might be a questionnaire or a task that participants are going to do (for example children may want to look at how quickly a child’s heart rate returns to normal after exercise) Discuss with children areas to consider when collecting data, e.g. timing, asking people to participate, how long they will need to be involved for, etc. Revise databases from Autumn term unit 6 Revise range and mode from Autumn term unit 6 Discuss the best ways of presenting data and the key features of graphs. Ask children to collect data. They should share the workload out amongst the group and be aware of the disturbances they are making to other children/classes. Allow children to carry on collecting data if necessary and start creating tables to represent the data they have collected. Core Activities Explain to children that they will be working in groups for this unit of work to design and carry out a survey involving their class or the children of the school. Discuss examples of research questions that could be investigated, e.g. ‘do boys do more exercise than girls?’, ‘how do children feel about the amount and type of homework they are set in a week?’ Put children in groups and NHM Year 5 Framework Unit Planning Discuss how to use collected data to answer research questions. Page 11 of 23 Ask children to complete tables representing their data and begin to analyse the information they have obtained. Ask children to prepare a presentation about the research they have carried out. This should include graphs as well as statements about what they did and what they have discovered, e.g. range and mode information and what their data tells them about their original question. Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Summer Term ask them to come up with a research question. Support On strips of paper write different research questions. Ask groups to choose a question that they would like to explore. Give children some templates for questionnaires say and ask them to complete them for their research. Ask children to collect data. Discuss with them how they can share the workload out amongst the group and be aware of the disturbances they are making to other children/classes. Allow children to carry on collecting data if necessary and start creating tables to represent the data they have collected. If necessary provide templates of tables for children to complete. Ask children to complete tables representing their data and begin to analyse the information they have obtained. Look at the tables of data with the children and ask questions about what they can see. Extension Explain to children that they will be looking at some other ways of representing data before they do their research. They must therefore be in groups with children who are all going to do the extension work. Discuss children’s work 1 Café visitors TF 383-384 Introducing line or trend graphs Extension Textbook page E19 TF 385 If time work on group research. Discuss children’s work Introduce Extension Textbook page E20 TF 385 Extension Textbook page E20 TF 385 If time work on group research. 2 Ticket sales TF 384 Introducing the mean/average Extension Textbook page E21 TF 385 If time work on group research. Discuss children’s work Introduce Extension Textbook page E22 TF 385 Extension Textbook page E22 TF 385 If time work on group research. Plenary Discuss children’s work Discuss children’s work Ask children to prepare a presentation about the research they have carried out. This should include graphs as well as statements about what they did and what they have discovered, e.g. range and mode information and what their data tells them about their original question. Provide pupils with a suggested format to follow when preparing their work. Ask pupils to carry out some research to look at their question. They must prepare a presentation and their work should include the new methods of analysing and presenting data that they have been introduced to. Look at children’s presentations. 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 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 8 Shape and space Reasoning about shapes Recognise where a shape will be after reflection in a mirror line parallel to one side (sides not all parallel or perpendicular to the mirror line). Recognise where a shape will be after a translation. Recognise positions and directions: read and plot co-ordinates in the first quadrant; recognise perpendicular and parallel lines. Position, Movement and Angle 5 days Teaching File page Pupil Sheets Textbook page 354-371 S.M. Shortcut 1 69-70 111-114 Home Activities Check-ups MATERIALS TOOLBOX Position, movement and angle Extension Textbook page Resource Sheets 43-44, 49 Starter Day 1 Tune-in TF 354-355 Revising co-ordinates 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 Completing Symmetrical Shapes TF 355-356 2 Drawing 2D Shapes TF 357 On a co-ordinate grid 3 Completing 2D shapes, drawing parallel lines TF 358-359 4 Translating shapes TF 359-360 On a squared grid 5 Translating shapes TF 360-362 On a co-ordinate grid On a co-ordinate grid On a co-ordinate grid Core Activities Textbook page 111 TF 369 Pupil Activity TF 357 1 Pupil Sheet 69 Co-ordinates Textbook page 112 TF 369 Pupil Activity TF 360 1 Pupil Sheet 70 2D Shape: Template Suggest to the pupils which shape to use to begin the pattern on each strip. Textbook page 113 TF 369 Textbook page 114 TF 369 Support Textbook page 111 TF 369 Provide pupils with squared paper. Ask them to copy the axes and shapes onto the paper and draw in the reflection. They can then read off the coordinates of the vertices. Pupil Activity TF 357 1 Pupil Sheet 69 Co-ordinates Provide pupils with sheets giving a separate set of axes for each shape to be drawn. Textbook page 112 TF 369 Provide pupils with squared paper. Ask them to copy the axes and lines onto the paper and draw in the missing sides of the shapes or, in q2, the parallel lines. They can then read off the coordinates required. Textbook page 114 TF 369 Copy the pictures onto squared paper for the children and ask them to draw the translated shapes onto the paper. Extension Textbook page 111 TF 369 Ask pupils to draw their own axes and half shapes onto squared Pupil Activity TF 357 1 Pupil Sheet 69 Co-ordinates Textbook page 112 TF 369 On squared paper ask pupils to draw a set of axes and a simple Pupil Activity TF 360 1 Pupil Sheet 70 2D Shape: Template Give the pupils a template of a simple shape to start their strip pattern off with and an instruction for translation to follow, e.g. ‘translate the shape four units to the right’. Pupil Activity TF 360 1 Pupil Sheet 70 2D Shape: Template NHM Year 5 Framework Unit Planning Page 13 of 23 Textbook page 114 TF 369 Ask pupils to draw a large set of axes onto squared paper. Starting Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Summer Term Plenary paper. Swap with a partner who has to list the coordinates of the vertices needed to complete the shapes then draw in the other half. Ask pupils to write their own lists of coordinates which if followed would make a shape. Swap with a partner who has to follow the instructions to draw the shape. Follow-up for Textbook page 111 TF 370 Discuss children’s work picture, e.g. a robot face. They must then record all the coordinates that are at a vertex of the picture. Swap the coordinates with a partner who must follow them to recreate the picture. Follow-up for Textbook page 112 TF 370 at one corner ask them to draw a shape and then decide on a translation to create a pattern going across the page. Follow-up for Textbook page 113 TF 371 Follow-up for Textbook page 114 TF 371 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 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 9 Shape and space Reasoning about shapes Recognise positions and directions: recognise perpendicular and parallel lines. Understand and use angle measure in degrees. Identify, estimate and order acute and obtuse angles. Use a protractor to measure and draw acute and obtuse angles to the nearest 5°. Calculate angles in a straight line. Position, Movement and Angle 5 days Teaching File page Pupil Sheets Textbook page 362-371 S.M. Shortcut 1 Unit 20: Shape 71 115-118 Home Activities Check-ups MATERIALS TOOLBOX PUPIL ACTIVITY SOFTWARE Position, movement and angle Extension Textbook page Resource Sheets 45, 50 Starter Day 1 Generic Starter TF 2-5 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 6 Turns in multiples of 45˚, 30˚ TF 362-363 7 Following and describing pathways TF 364 8 Acute and obtuse angles TF 365-367 9 Estimating and measuring angles TF 367 To the nearest 5˚ Revision/Consolidation Core Activities Textbook page 115 TF 369 Pupil Activity TF 365 1 Pupil Sheet 71 Pathways Textbook page 117 TF 370 Textbook page 118 TF 370 Provide pupils with cards labelled with different angles, e.g. 30o, 10o, 50o. Ask them to pick a card and draw the angle using a protractor. Pupil Activity TF 365 1 Pupil Sheet 71 Pathways Provide pupils with an enlarged version of the map which they can turn around and easily draw routes onto. Textbook page 117 TF 370 Provide pupils with a piece of acetate with a right angle drawn on. This can be placed over each angle to decide whether they are smaller or larger than a right angle. Textbook page 118 TF 370 In q1 ask the pupils to work in pairs. Both children must measure the angle and compare measurements. They must agree a size before moving onto the next question. Provide pupils with a set of cards with angles drawn on them. In pairs they must pick a card and estimate the size of the angle. They can then use a protractor to see how close their estimate was. Pupil Activity TF 365 1 Pupil Sheet 71 Pathways Ask pupils to draw their own island maps. They must decide on a spot Textbook page 117 TF 370 Provide pupils with cards labelled with different angles, e.g. 30o, 10o, 50o. Ask them to pick a card and Textbook page 118 TF 370 Ask pupils to use a protractor to measure the angles they drew the previous day. How close were their Ask pupils to create a poster that would describe to an alien what a protractor is used for and how to use it. Textbook page 116 TF 369 Support Extension Textbook page 115 TF 369 Discuss with the children how many degrees each section on the temperature gauge and on the clock is worth. Provide them with a card gauge and clock on which they can move the pointer through the required turn. Textbook page 115 TF 369 Give pairs of children a picture of a clock and a card clock. Ask them to challenge each other to say what NHM Year 5 Framework Unit Planning Page 15 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Summer Term Plenary the time will be after a given move, e.g. ‘move clockwise 120o from 3 o’clock’. Their partner can use the card clock to check their answer. Follow-up for Textbook page 115 TF 371 where there is treasure buried and give directions on how to reach it. Swap with a partner to follow and find the treasure. Follow-up for Textbook page 116 TF 371 using a ruler draw an angle that they think is roughly the size of that on the card. Follow-up for Textbook page 117 TF 371 estimates? Provide further cards with angles such as 32o, 57o. Ask pupils to pick a card and draw the angle using the protractor. Follow-up for Textbook page 118 TF 371 Discuss children’s work 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 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 9 Shape and space Reasoning about shapes Recognise positions and directions: recognise perpendicular and parallel lines. Understand and use angle measure in degrees. Identify, estimate and order acute and obtuse angles. Use a protractor to measure and draw acute and obtuse angles to the nearest 5°. Calculate angles in a straight line. Position, Movement and Angle 5 days Teaching File page Pupil Sheets Textbook page 362-371 S.M. Shortcut 1 Unit 20: Shape 71 115-118 Home Activities Check-ups MATERIALS TOOLBOX PUPIL ACTIVITY SOFTWARE Position, movement and angle Extension Textbook page Resource Sheets 45, 50 Starter Day 1 Generic Starter TF 2-5 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 6 Turns in multiples of 45˚, 30˚ TF 362-363 7 Following and describing pathways TF 364 8 Acute and obtuse angles TF 365-367 9 Estimating and measuring angles TF 367 To the nearest 5˚ Revision/Consolidation Core Activities Textbook page 115 TF 369 Pupil Activity TF 365 1 Pupil Sheet 71 Pathways Textbook page 117 TF 370 Textbook page 118 TF 370 Provide pupils with cards labelled with different angles, e.g. 30o, 10o, 50o. Ask them to pick a card and draw the angle using a protractor. Pupil Activity TF 365 1 Pupil Sheet 71 Pathways Provide pupils with an enlarged version of the map which they can turn around and easily draw routes onto. Textbook page 117 TF 370 Provide pupils with a piece of acetate with a right angle drawn on. This can be placed over each angle to decide whether they are smaller or larger than a right angle. Textbook page 118 TF 370 In q1 ask the pupils to work in pairs. Both children must measure the angle and compare measurements. They must agree a size before moving onto the next question. Provide pupils with a set of cards with angles drawn on them. In pairs they must pick a card and estimate the size of the angle. They can then use a protractor to see how close their estimate was. Pupil Activity TF 365 1 Pupil Sheet 71 Pathways Ask pupils to draw their own island Textbook page 117 TF 370 Provide pupils with cards labelled with different angles, e.g. 30o, 10o, Textbook page 118 TF 370 Ask pupils to use a protractor to measure the angles they drew the Ask pupils to create a poster that would describe to an alien what a protractor is used for and how to Textbook page 116 TF 369 Support Extension Textbook page 115 TF 369 Discuss with the children how many degrees each section on the temperature gauge and on the clock is worth. Provide them with a card gauge and clock on which they can move the pointer through the required turn. Textbook page 115 TF 369 Give pairs of children a picture of a clock and a card clock. Ask them to NHM Year 5 Framework Unit Planning Page 17 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Summer Term Plenary challenge each other to say what the time will be after a given move, e.g. ‘move clockwise 120o from 3 o’clock’. Their partner can use the card clock to check their answer. Follow-up for Textbook page 115 TF 371 maps. They must decide on a spot where there is treasure buried and give directions on how to reach it. Swap with a partner to follow and find the treasure. Follow-up for Textbook page 116 TF 371 50o. Ask them to pick a card and using a ruler draw an angle that they think is roughly the size of that on the card. Follow-up for Textbook page 117 TF 371 previous day. How close were their estimates? Provide further cards with angles such as 32o, 57o. Ask pupils to pick a card and draw the angle using the protractor. Follow-up for Textbook page 118 TF 371 use it. 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 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 11 Mental calculation strategies (+ and -) Partition into H, T and U, adding the most significant digits first. Develop further the relationship between addition and subtraction. 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). Use informal pencil and paper methods to support, record or explain additions and subtractions. Extend written methods to: column addition/subtraction of two integers less than 10000; addition of more than two integers less than 10000; addition or subtraction of a pair of decimal fractions, both with one or both with two decimal places (e.g. £29.78 + £53.34). 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 Addition involving four-digit numbers Subtraction Written methods of subtraction 5 days Pencil and paper procedures (+ and -) Money and ‘real life’ problems Making decisions and checking results, including using a calculator Teaching File page Pupil Sheets Textbook page Home Activities 87-92, 120-124 17 21-24, 33-34 5 MATERIALS Starter Main Teaching Day 1 Tune-in TF 87-88 Adding a three-digit number and a two-digit multiple of 10 1 Adding a four-/five-digit number and a two-digit multiple of 10 TF 88 Core Activities Textbook page 21 TF 90 Support Textbook page 21 TF 90 Discuss with the pupils as a group the calculations needed to answer q1, 3, 5 and 6. Allow pupils to use informal jottings to support them in finding the answers. NHM Year 5 Framework Unit Planning Day 2 Specific Starter for Addition TF 12-15 Day 3 Specific Starter for Addition TF 12-15 2 Adding a three-digit multiple of 100 to a three-/four-digit number TF 89 Bridging a multiple of 1000 Pupil Activity TF 89 1 Adding game Textbook page 22 TF 90 3 Using a standard written method TF 90 Pupil Activity TF 89 1 Adding game In envelope A put the cards 300, 300, 400, 400, 500, 500, 600 Check-ups/Topic Assessment 7 2a, b, 3a, b Extension Textbook page E2-E4 Resource Sheets 55-57 Day 5 Specific Starter for Subtraction TF 16-19 Textbook pages 23-24 TF 91 Day 4 Tune-in TF 120-121 Revising written methods of subtracting three-digit numbers 1 Subtraction involving four-digit numbers TF 121-122 Extending the use of a standard written method Textbook pages 33-34 TF 123-124 Textbook pages 23-24 TF 91 Work with the pupils as a group and decide the calculations required to answer q1,2,3 and 5. Ask pupils to write down the calculations and then ask them to Textbook pages 33-34 TF 123-124 Work with the pupils as a group and decide the calculations required to answer q1 and 3. Ask pupils to write down the calculations and then ask them to Pupil Activity TF 123 1 Pupil Sheet 17 Written methods, complementary addition Give pupils the first two sections of the sheet to attempt. If they find this Page 19 of 23 Further Teaching TF 122-123 1 Subtracting by ‘counting up’ Exploring an alternative written method Pupil Activity TF 123 1 Pupil Sheet 17 Written methods, complementary addition Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Summer Term Extension Plenary Textbook page 21 TF 90 Provide pupils with a set of cards showing four-digit numbers all of whom end in 50 or more and a set of cards showing 50, 60,70 ,80 90. Ask pupils to take a card from each set and find the total as quickly as they can. How many questions can they do in two minutes? Can they beat their record? Follow-up for Textbook page 21 TF 91 work out the answers independently using a method of their choice. work out the answers independently using an extended method if required. method useful give them further practice involving three-digit numbers only. Pupil Activity TF 89 1 Adding game Include cards over 1000 in each envelope. Ask pupils to have five goes each and record their answers each time. Find the total of each player’s answers using a calculator. The winner is the one with the highest total. Textbook pages 23-24 TF 91 Extension Textbook page E2 TF 95 Textbook pages 33-34 TF 123-124 Ask pupils to answer the questions on p34 without using a calculator. Can they make up their own puzzles to swap with a friend to solve? Extension Textbook pages E3-E4 TF 127 Follow-up for Textbook page 22 TF 91 Follow-up for Textbook pages 2324 TF 91 Follow-up for Textbook pages 33-34 TF 124 Discuss children’s work Home Activity 5 Check-up 7 Topic Assessment 2a, b Topic Assessment 3a, b 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 Summer Term Unit/ Days Framework topic Objectives: children will be taught to… NHM Topic NHM Section 12 Properties of numbers Reasoning about numbers Make general statements about odd or even numbers, including the outcome of sums and differences. Recognise multiples of 6, 7, 8, 9, up to the 10th multiple. Know and apply tests of divisibility by 2, 4, 5, 10 or 100. Know squares of numbers to at least 10 × 10. Find all the pairs of factors of any number up to 100. Number Properties 5 days Teaching File page Pupil Sheets Textbook page 263-271 N.G. Shortcut 1 S.T. Shortcuts 1, 3, 5 Units 15, 16: Number properties 51 80-81 Home Activities Check-ups MATERIALS TOOLBOX PUPIL ACTIVITY SOFTWARE Number properties Extension Textbook page E11-E12 Resource Sheets 55-57 Day 1 Generic Starter TF 2-5 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 4 Multiples TF 263-264 Revision/consolidation 5 Factors TF 265-266 Revision/Consolidation Revision/Consolidation Core Activities Pupil Activities TF 264 1 Venn diagrams Pupil Activities TF 264 2 Choosing multiples 3 Colouring multiples on 100squares Pupil Activities TF 266 1 Pupil Sheet 51 Multiplication using factors Textbook page 81 TF 268 Provide pupils with a series of true and false statements, e.g. ’112 is a multiple of 8’, ’12 is a factor of 226’. Ask pupils to write ‘true’ or ‘false’ next to each one. Starter Textbook page 80 TF 267-268 Support Pupil Activities TF 264 1 Venn diagrams Provide pupils with a large Venn diagram already drawn and a set of cards showing the stations of the 5 and 3 times tables. Ask them to work in pairs to place the cards in the correct part of the Venn diagram. Pupil Activities TF 264 3 Colouring multiples on 100squares Pupil Activities TF 266 1 Pupil Sheet 51 Multiplication using factors Go through each question with the children as a group and decide which factors to split each number into and complete the first line for each question. Then ask pupils to complete the sheet independently. Textbook page 81 TF 268 Provide pupils with a multiplication table to support them in q1 and 2. For q3 Provide a copy of the Venn diagram and a set of 1-20 cards. Ask them to place the cards into the correct parts of the Venn diagram. Provide pupils with a series of true and false statements, e.g. ’56 is a multiple of 8’, ’10 is a factor of 26’. Only choose statements that are within the times tables range. Ask pupils to work in pairs to write ‘true’ or ‘false’ next to each one. Extension Pupil Activities TF 264 2 Choosing multiples Pupil Activities TF 264 1 Venn diagrams Pupil Activities TF 266 1 Pupil Sheet 51 Textbook page 81 TF 268 Extension Textbook pages Ask pupils to work in pairs. They must take it in turns to write a NHM Year 5 Framework Unit Planning Page 21 of 23 Downloaded from www.myprimary.co.uk NHM Framework Unit Planning Year 5 Summer Term Plenary Discuss children’s work Provide pupils with a set of cards showing two- and three-digit multiples of 3 and 5. Ask them to turn a card over and enter the number into the correct part of the Venn diagram. Follow-up for Textbook page 80 TF 267 Multiplication using factors Extension Textbook pages E11 TF 269-270 E12 TF 269-270 Follow-up for Textbook page 81 TF 268 Discuss children’s work number down in secret. Their partner must then ask questions about the number using the word ‘multiple’ or ‘factor’ in each question. How many questions does it take to guess the number? Discuss children’s work 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 Summer Term Unit 1 TB 10 TB 11 TB 12 CU 4 TA 1ab Unit 2 TB 44 TB 45 TB 46 EX 5 TA 4ab Unit 3 TB 53 TB 54 TB 55 CU 16 EX 6 EX 7 TA 5ab Unit 4 TB 67 TB 68 CU 21 TB 69 EX 8 TB 70 TB 71 Unit 5 TB 72 TB 73 TB 74 EX 9 TB 75 TB 76 EX 10 Unit 6 EX 19 EX 20 EX 21 EX 22 Unit 8 TB 111 TB 112 TB 113 TB 114 Unit 9 TB 115 TB 116 TB 117 TB 118 Unit 10 TB 97 TB 98 TB 99 TB 100 TB 101 TB 102 TB 103 Unit 11 TB 21 TB 22 HA 5 TB 23 TB 24 CU 7 EX 2 Unit 12 TB 80 TB 81 EX 11 EX 12 NHM Year 5 Framework Unit Planning TA 7ab TA 8 TB 33 TB 34 Page 23 of 23 EX 3 EX 4 TA 2ab TA 3ab Downloaded from www.myprimary.co.uk