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Downloaded from www.ness.uk.com Unit 1 Three daily lessons Place value Year 6 Autumn term This Unit Plan is designed to Unit Objectives guide your teaching. Year 6 ï‚· Multiply and divide decimals by 10 or 100 and integers by Page 7 You will need to adapt it to 1000, explain the effect. meet the needs of your class. ï‚· Identify and use appropriate operations (including combinations Page 85 of operations) to solve problems involving numbers and quantities based on â€˜real lifeâ€™ or money, using one or more steps. Resources needed to teach this unit: ï‚· Resource sheet 1.1 ï‚· Resource sheet 1.2 Link Objectives ï‚· Resource sheet 1.3 ï‚· Resource sheet 1.4 Year 5 Year 7 ï‚· Resource sheet 1.5 ï‚· Resource sheet 1.6 ï‚· Multiply and divide any positive integer up to ï‚· Understand and use decimal notation and place 10 000 by 10 or 100 and understand the effect. value; multiply and divide integers and decimals ï‚· Resource sheet 1.7 by 10, 100, 1000 and explain the effect. ï‚· Resource sheet 1.8 ï‚· Read and write whole numbers in figures and ï‚· Metre stick words and know what each digit represents. ï‚· Compare and order decimals in different ï‚· OHP calculator (optional) contexts. ï‚· Whiteboards ï‚· Use the vocabulary of comparing and ordering ï‚· Related Key Stage 2 national test numbers, including symbols such as <, >, â‰¤ , â‰¥ , questions =. ï‚· Give one or more numbers lying between two given numbers. ï‚· Order a set of integers less than 1 million. (Key objectives in bold) NNS Unit Plans Downloaded from www.ness.uk.com Planning Day One Unit 1 Place value Term: Autumn Year Group: 6 sheet Oral and Mental Main Teaching Plenary Objectives and Teaching Activities Objectives and Teaching Activities Teaching Activities/ Focus Vocabulary Vocabulary Questions Read whole ï‚· Use Resource sheet 1.1 on OHP or Multiply and divide decimals ï‚· Using Resource sheet 1.1 on OHP or board. Cover 30 and 2 (32). ï‚· Show class Resource sheet 1.2 numbers and large display version. Cover 0.3, 0.05 by 10 or 100 and integers and work through it with pupils decimals. and 0.007. by 1000 and explain the Q What is 10 x bigger than 32? explaining what goes in empty effect. boxes. Use decimal Q What is covered up? Model moving counters to 300 and 20. notation for tenths, Q Why does 4.6 x 10 x 10 give me hundredths and e.g. 3 tenths, 5 hundredths, 7 Q How do we make it 100 x bigger? the same answer as 4.6 x 100? thousandths. thousandths. Draw out from childrenâ€™s responses that x 100 is the same as x 10 x 10. Q Can you give me a single step Multiply or divide Repeat with 7 and 0.003, 40, 2 and operation that will be the same as decimals by 10. 0.2, 0.01. Repeat with 5.6 to consolidate idea. ÷ 10 ÷ 10? ï‚· Ask children to use whiteboards to ï‚· Write a number in the middle of the board and begin to explore different ï‚· Show children the Resource sheet show decimal fraction equivalents of: ways of reaching the target number using a â€˜spiderâ€™ diagram (shown 1.3 to support discussion and to below). extend examples. 2 tenths and 5 hundredths 13, 3 hundredths and 1 thousandth. Suggest that children begin with one step. Refer to place value chart to 0.4 17.6 3 support explanation. 0.33 30 156 54 x 100 40 1.56 1.76 540 x 10 5.4 x 1000 HOMEWORK â€“ Give the children four numbers from the Resource sheet 1.3. 5400 Ask them to write 1, 2 and 3 step equivalent calculations for each 0.54 x 100 x 100 54 x 10 x 10 number using x and ÷. e.g. 4 x 10, 5.4 x 10 x 10 x 10 4000 ÷ 10 ÷ 10 0.4 x 10 x 10 Ask children to work in groups to develop their own spider diagram for other numbers showing equivalent calculations. By the end of the lesson children ï‚· Using Resource sheet 1.1, repeat as above using ÷ 10 and ÷ 1000. should know that: Choose 4200 and 42 and ask children what to divide 4200 by to get 42. Show the one-step and two-step methods. ï‚· Multiplying by 1000 is equivalent to multiplying by 10, VOCABULARY 4200 ÷ 100 = 42 then by 10, then by 10 or is digits 4200 ÷ 10 ÷ 10 = 42 equivalent to multiplying by 10 multiply and then 100 and similar divide ï‚· Set pupils the task of adding 6 more legs to their spider diagram using equivalents for dividing by place value division operations. 1000. (Refer to supplement of examples, RESOURCES section 6, page 7.) Resource sheet 1.1 RESOURCES Whiteboards Resource sheets 1.1, 1.2, 1.3 NNS Unit Plans Downloaded from www.ness.uk.com Planning Day Two Unit 1 Place value Term: Autumn Year Group: 6 sheet Oral and Mental Main Teaching Plenary Objectives and Teaching Activities Objectives and Teaching Activities Teaching Activities/ Focus Vocabulary Vocabulary Questions Read whole ï‚· Write a two-digit number on board, Multiply and divide decimals ï‚· Show children a metre stick and ask them to quickly identify ï‚· Key a four-digit number into an OHP numbers and get children to count in 10s/100s/ by 10 or 100 and integers something in the room that is 1 m in length. calculator. decimals. 1000s backwards and forwards to by 1000 and explain the respond to direction cards. Use the effect. Ask them to think of examples of objects or distances that are 10 x, Q What will happen to this number Multiply and divide arrow cards on Resource sheet 1.4. 100 x, 1000 x, 10 000 x longer. when I multiply by 100? What will numbers by 10, 100 the display show? and 1000 mentally. Take feedback and show children a clear method of how to record their own examples in their books recording on the board. Repeat with other examples and use Use other starting numbers x 10, x 1000, ÷ 10, ÷ 100, ÷ 1000. (Resource sheet 1.3 â€“ homework) 10 000m Road to next town hold up a card from Resource sheets 1000m Four times round school Take feedback on each and use OHP 1.5, 1.6, 1.7 (x 10, x 100, x 1000) and 100m Fence round school playground calculator to check. ask children to give and explain their 10m Classroom answers. 1m Door width ï‚· Repeat holding up card from ÷ 10, ÷ ï‚· Later get children to continue the pattern to record the length of items By the end of the lesson the 100, ÷ 1000 and ask children to give that are 10 x, 100 x, 1000 x smaller than 1m. children should know that: and explain their answers. 10cm = 0.1m 1cm = 0.01m 1mm = 0.001m ï‚· When you multiply a number by Length of pencil Width of thumb nail Thickness of 5p coin 10, 100, 1000 the digits move 1, 2, 3 places to the left. Extend the activity to ask questions like: ï‚· When you divide a number by 10, 100, 1000 the digits move 1, 2, 3 Q What is one hundredth of a pencil length? places to the right. Q What is about 100 times the width of a thumbnail? (Refer to supplement of examples, section 6, page 7.) Q How many times will a pencil go round the school fence? ï‚· Write on the board: 1.37 24.5 702 Give out calculators. Tell the children they are going to use these VOCABULARY numbers to make a target number. They can multiply each of these decimal place three numbers by 10 or 100 or divide each of these numbers by 10 or tens 100, then add these numbers. hundreds VOCABULARY thousands Q How close to 100 can you get? tens tenths hundreds hundredths thousands thousandths Collect answers and discuss strategies. Repeat giving other sets of numbers as targets. RESOURCES RESOURCES RESOURCES Resource sheets Metre stick OHP calculator 1.4, 1.5, 1.6, 1.7 Calculators NNS Unit Plans Downloaded from www.ness.uk.com Planning Day Three Unit 1 Place value Term: Autumn Year Group: 6 sheet Oral and Mental Main Teaching Plenary Objectives and Teaching Activities Objectives and Teaching Activities Teaching Activities/ Focus Vocabulary Vocabulary Questions Read whole numbers ï‚· Ask children to enter any six-digit number Multiply and divide decimals by ï‚· Explain to children that they can use the place value chart ï‚· Write this question on the and decimals. (with one decimal place) in their calculators 10 or 100 and integers by 1000 (Resource sheet 1.1) to support multiplication and division problems board: and secretly enter one yourself. and explain the effect. using money. Use decimal notation Canned drinks come in packs for tenths, hundredths Ask them to change their number to match Solve word problems, involving Write on the board, of 10. There are 10 packs in and thousandths. your number, altering one digit at a time by numbers and quantities, based How many £10 notes are in £130? each box. 10 boxes are adding or subtracting according to criteria on â€˜real lifeâ€™, money, using one placed in a crate. If 10 crates Develop calculator such as: or more steps. Present the calculations as £130 ÷ £10 (emphasising that the units cost £2700 and the skills and use a are the same but the answer is the number of £10 notes). shopkeeper sells the drinks calculator effectively. â”€ I have six tenths for 55p how much profit does â”€ My number contains eight hundreds Illustrate the calculation using the place value chart and extend to he make? â”€ It is greater than two hundred thousand how many £100 in £1300, 10p coins in £120? but less than three hundred thousand. Work through the problem Show that we can also work out how many £50 notes are in £700. with the children. When sufficient clues have been given ask children to reveal their numbers. Reveal Q If there are seven £100 notes in £700, how many £50 notes are Q What happens to digits yours for children to check. there in £700? Do you need to multiply or divide? when you multiply or divide by 10? Model on the board 2 x £50 = £100 7 x £100 = £700 14 x £50 = £700 Use Resource sheet 1.8 to aid understanding. By the end of the lesson children should be able to: ï‚· Extend to 50p coins, ask how many 50p coins in £45, and to £20 notes and 20p coins. ï‚· Multiply and divide decimals by 10 or 100 and Q What strategies did you use? integers by 1000 and explain the effect. ï‚· Write a word problem on the board. (Refer to supplement of Canned drinks cost 48p and come in packs of 10. examples, section 6, page 7.) There are 10 packs in each box. Ten boxes are placed in a crate. How much do 1, 10, 100 crates cost? VOCABULARY Set similar problems for children to work through, model structure tenths for recording in books. hundredths thousandths RESOURCES RESOURCES Resource sheet 1.1 Resource sheet 1.1 OHP/board Resource sheet 1.8 Whiteboards Related KS2 national test Calculators questions NNS Unit Plans