Multiplication and Division

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#### Level contents

- * Assessment for the whole of Level 6
- ** Assessment test answers
- *** Assessment test records
- 6:01 Division
- Sharing a collection and making groups, using multiplication facts, fractions, different ways of writing division.
- 6:02 Division
- Division algorithms to three digits, including decimal points and remainders. Division problems involving money.
- 6:03 Multiplication strategies
- Mental strategies for multiplication by simple numbers using place value, known facts, moving the decimal point, halving and doubling.
- 6:03E Multiplication strategies
- Mental strategies for multiplication including using place value, using known facts, basic algorithms, and halving. Finding a rule for multiplying by 50.
- 6:04 Multiplying by multiples of 10
- Mental strategies for multiplication by multiples of ten, up to four digits. Word problem using a multiplication strategy.
- 6:05 Multiplying by multiples of 10
- Mental and written strategies for multiplying by multiples of ten, with more complex numbers including decimal points and three digits numbers.
- 6:05C Multiplying by multiples of 10
- Mental and written strategies for multiplying by multiples of ten, with more complex numbers including decimal points and three-digit numbers. Word problems using multiplication strategies.
- 6:06 Multiplication algorithm
- Multiplication algorithms up to three digits including decimal points, with trading boxes. Using estimates to assist with algorithms. Word problems with multiplication.
- 6:06C Multiplication
- Multiplication algorithms up to three digits, including decimal points. Mental strategies for multiplying by multiples of ten. Relating algorithms to real life problems.
- 6:07 Remainders as fractions
- Understanding remainders, solving division algorithms and writing remainders as fractions, using division to change improper fractions to mixed numbers.
- 6:08 Division strategies
- Mental strategies for division including using known facts to complete division, estimating using times tables, estimating using rounding to tens or hundreds, halving.
- 6:09 Dividing 3-digit numbers
- Mental strategies and algorithms for dividing three-digit numbers, including decimal points. Writing remainders as fractions. Word problem.
- 6:09C Division
- Division algorithms with and without remainders, writing the remainder as a fraction, changing improper fractions to mixed numbers.
- 6:09PT Progress test
- Test of Multiplication and division
- 6:10 Multiplying 4-digit numbers
- Using expanded notation to multiply four-digit numbers. Algorithms with 4-digit numbers including decimal points and money units. Using estimation to check reasonableness of answers to algorithms. Trading.
- 6:10C Multiplying 4-digit numbers
- Multiplication algorithms to four digits, including decimal points and money units. Word problems.
- 6:11 Multiplication
- Hindu Lattice Multiplication, multiplication grids. Word problems. Multiplication webs.
- 6:12 Hindu Lattice multiplication
- Hindu Lattice Multiplication of three and four digit numbers by a single digit and two digit numbers by two digit numbers. With and without trading. Creating your own lattices and number sentences.
- 6:13 Divisibility
- Rules for divisibility of numbers to aid in finding the factors of numbers. Factors to 10.
- 6:14 Prime and composite numbers
- Recognising prime and composite numbers. Finding factors of numbers and labelling as prime or composite. Prime numbers to 100 using a grid.
- 6:14E Prime and composite numbers
- Consolidating rules for prime and composite numbers. Finding specific prime and composite numbers and factors of numbers.
- 6:15 Multiplication
- Prime and composite numbers, factors and products and multiples, square numbers, number patterns using times tables.
- 6:15E Square and triangular numbers
- Writing square numbers, diagram and patterns for square numbers, completing number sentences with square numbers, finding factors of square numbers, making triangular patterns and combining to form square numbers.
- 6:15PT Progress test
- Test of Multiplication and division
- 6:16 Remainders as fractions
- Writing remainders as fractions in division algorithms. Word problems.
- 6:17 Remainders as decimals
- Writing remainders as decimals in division algorithms up to three digits, including money units. Adding zeros. Point over point. Using a calculator to write answers correct to two decimal points.
- 6:17CA Writing remainders as fractions and d...
- Writing remainders as fractions or decimals in division algorithms up to four digits, including money units. Word problems.
- 6:17CB Division: zero in the answer
- Division algorithms to three digits with zero in the answer, including decimal points and money units. Word problems with zero in the answer. Rounding up to answer a word problem. Algorithms with remainders as fractions.
- 6:17E Dividing 4-digit numbers
- Dividing 4-digit numbers involving decimals and decimal currency.
- 6:18 Dividing by multiples of 10
- Mental and written division strategies for dividing numbers up to six digits by multiples of ten. Moving decimal points, crossing off zeros.
- 6:18C Multiplying and dividing by multiples...
- Algorithms and number sentences to practise mental and written strategies for multiplying and dividing by multiples of ten.
- 6:19 Order of operations
- Following order of operations to answer number sentences. Working backwards in number sentences to find a number. Word number sentences.
- 6:20 Multiplying by multiples of 10
- Practice exercises for mental and written multiplication strategies for multiplying by multiples of ten.
- 6:21 Extended multiplication
- Mental and written strategies for multiplication of a pair of two-digit numbers. Practice algorithms.
- 6:22 Extended multiplication
- Further practice algorithms for multiplying by two-digit numbers, with written strategies involving trading provided. Correcting errors in completed algorithms.
- 6:22C Multiplying by 2-digit numbers
- Practice algorithms for multiplying by two-digit numbers, including numbers with decimal points. Two-digit square numbers.
- 6:23 Multiplying by 2-digit numbers
- Further practice algorithms for multiplying by two-digit numbers. Word problems. Hindu Lattice multiplication.
- 6:24 Averages
- Word problems involving finding averages by adding all scores and dividing by the number of scores.
- 6:24C Dividing 4-digit numbers
- Division algorithms up to four digits including numbers with decimal points, with remainders as fractions, whole numbers and decimals. Word problems.
- 6:24PT Progress test
- Test of Multiplication and division
- 6:25 Extended multiplication
- Written strategies for multiplying three-digit numbers by two-digit numbers, using trading. Practice algorithms. Example of word problem.
- 6:26 Extended multiplication
- Practice algorithms for multiplying three-digit numbers by two-digit numbers, using trading. Decimal points. Word problems.
- 6:27 Extended multiplication
- Practice algorithms for multiplying three-digit numbers by two-digit numbers, using trading. Word problems, decimal points and money units. Rounding.
- 6:28 Multiplication and division
- Multiplying by multiples of ten, division webs, quotient, divisor, dividend, checking division answers, multiplication grid.
- 6:29 Multiplication strategies
- Multiplication strategies for multiplying by two-digit numbers, including compensation strategy, halving and quartering, rounding. Multiplying money units.
- 6:30 Division of large numbers
- Division of numbers to eight digits by multiples of ten and single digit numbers. Divisibility rules. Word problems.
- 6:30C Multiplication and division strategie...
- Multiplying and dividing strings of numbers by grouping and multiplying or dividing compatible numbers first. Breaking three-digit numbers into parts that can be divided and then adding totals.
- 6:31 Measurement problems
- Multiplication and division word problems involving measurement including time, mass, volume and capacity and length.
- 6:31PT Progress test
- Test of Multiplication and division
- 6:AC New Maths Builder Texts
- Placeholder
- 6:ACC Year 6 Cover
- Placeholder
- 6:NA00C Contents: Year 6 Maths Builder text
- Contents
- 6:NA00D Answers: 6:NA01-6:NA54C
- The answers to the Year 6 Maths Builder text 6:NA01-6:NA54C
- 6:NA00E Answers: 6:NA55-6:NA93
- The answers to the Year 6 Maths Builder text 6:NA55-6:NA93
- 6:NA03 Division
- Sharing a collection and making groups, using multiplication facts, fractions, different ways of writing division.
- 6:NA04 Division
- Division algorithms to three digits, including decimal points and remainders. Division problems involving money.
- 6:NA05 Remainders as fractions
- Understanding remainders, solving division algorithms and writing remainders as fractions, using division to change improper fractions to mixed numbers.
- 6:NA06 Remainders as fractions
- Division exercises involving writing remainders as fractions, using the rule of the remainder being placed over the divisor. Includes word problems.
- 6:NA07 Division strategies
- Mental strategies for division including using known facts to complete division, estimating using times tables, estimating using rounding to tens or hundreds, halving.
- 6:NA07C Using factors in division
- The mental strategy involving division by the factors of the divisor.
- 6:NA08 Divisibility
- Rules for divisibility of numbers to aid in finding the factors of numbers. Factors to 10.
- 6:NA19 Mixed operations
- Use the rule to complete the mixed operations problems - brackets, multiplication/division, then addition/subtraction.
- 6:NA20 Order of operations
- Use the rule to complete the mixed operations problems - brackets, multiplication/division, then addition/subtraction.
- 6:NA21 Using grouping symbols
- Use grouping symbols to write a number sentence
- 6:NA21C Mixed operations
- Extension page. Mixed operations, use rules. Use operations symbols to complete the number sentences.
- 6:NA37 Multiplication algorithm
- Multiplication algorithms up to three digits including decimal points, with trading boxes. Using estimates to assist with algorithms. Word problems with multiplication.
- 6:NA37C Multiplication
- Multiplication algorithms up to three digits, including decimal points. Mental strategies for multiplying by multiples of ten. Relating algorithms to real life problems.
- 6:NA40 Multiplying 4-digit numbers
- Using expanded notation to multiply four-digit numbers. Algorithms with 4-digit numbers including decimal points and money units. Using estimation to check reasonableness of answers to algorithms. Trading.
- 6:NA40C Multiplication
- Hindu Lattice Multiplication, multiplication grids. Word problems. Multiplication webs.
- 6:NA40S Multiplying 4-digit numbers
- Multiplication algorithms to four digits, including decimal points and money units. Word problems.
- 6:NA43 Multiplication strategies
- Mental strategies for multiplication by simple numbers using place value, known facts, moving the decimal point, halving and doubling.
- 6:NA43C Multiplication strategies
- Mental strategies for multiplication including using place value, using known facts, basic algorithms, and halving. Finding a rule for multiplying by 50.
- 6:NA44 Multiplying by multiples of 10
- Mental strategies for multiplication by multiples of ten, up to four digits. Word problem using a multiplication strategy.
- 6:NA44C Multiplying by multiples of 10
- Practice exercises for mental and written multiplication strategies for multiplying by multiples of ten.
- 6:NA44S Multiplying by multiples of 10
- Mental and written strategies for multiplying by multiples of ten, with more complex numbers including decimal points and three-digit numbers. Word problems using multiplication strategies.
- 6:NA45 Extended multiplication
- Further practice algorithms for multiplying by two-digit numbers, with written strategies involving trading provided. Correcting errors in completed algorithms.
- 6:NA45C Multiplying by 2-digit numbers
- Further practice algorithms for multiplying by two-digit numbers. Word problems. Hindu Lattice multiplication.
- 6:NA45S Extended multiplication
- Mental and written strategies for multiplication of a pair of two-digit numbers. Practice algorithms.
- 6:NA46 Extended multiplication
- Written strategies for multiplying three-digit numbers by two-digit numbers, using trading. Practice algorithms. Example of word problem.
- 6:NA47 Extended multiplication
- Practice algorithms for multiplying three-digit numbers by two-digit numbers, using trading. Decimal points. Word problems.
- 6:NA47C Extended multiplication
- Practice algorithms for multiplying three-digit numbers by two-digit numbers, using trading. Word problems, decimal points and money units. Rounding.
- 6:NA49 A decimal times a 2-digit number
- Multiplying a decimal by a 2-digit number
- 6:NA49C Extended multiplication with decimals
- Multiplying a decimal by a 2-digit number
- 6:NA67 Remainders as decimals
- Division exercises involving writing the remainder as a decimal, using the rule of placing a decimal point after the dividend and continuing to divide. Includes writing answers correct to two decimal places and division with money units.
- 6:NA67C Remainders as fractions and decimals
- Writing remainders as fractions or decimals in division algorithms up to four digits, including money units. Word problems.
- 6:NA67S Dividing 3-digit numbers
- Mental strategies and algorithms for dividing three-digit numbers, including decimal points. Writing remainders as fractions. Word problem.
- 6:NA69 Dividing by multiples of 10
- Mental and written division strategies for dividing numbers up to six digits by multiples of ten. Moving decimal points, crossing off zeros.
- 6:NA70 Dividing 4-digit numbers
- Dividing 4-digit numbers involving decimals and decimal currency.
- 6:NA70C Dividing 4-digit numbers
- Division algorithms up to four digits including numbers with decimal points, with remainders as fractions, whole numbers and decimals. Word problems.
- 6:NA71 Speed
- Road speed signs - km/h. If you travelled for 1 hour at the speed shown, how many kilometres would you cover? Write your speed in each case. Complete the table to show the distance travelled. Estimate the number of kilometres that would be travelled in one hour by given animals and write in km/h. State speed in km/h if I travel the distances and number of hours given.
- 6:NA71C Speed
- Find the kilometres traveled in one hour, half an hour. Match the animals to the speeds by which they can move. How long would the given journeys take at the given speeds. Find the driver's average speed.
- 6:NA71S Speed and distance
- Record how fast a driver can go in different zones. Complete the table to show how far the driver could travel in the given time, if traveling at 60km/h. How long would it take to travel the distances given? Find distances achieved by a jet plane at the given speed.
- 6:NA72 Averages
- Word problems involving finding averages by adding all scores and dividing by the number of scores.
- 6:NA90 Multiplication strategies
- Multiplication strategies for multiplying by two-digit numbers, including compensation strategy, halving and quartering, rounding. Multiplying money units.
- 6:NA91 Multiplication and division
- Multiplying by multiples of ten, division webs, quotient, divisor, dividend, checking division answers, multiplication grid.
- 6:NA92 Division of large numbers
- Division of numbers to eight digits by multiples of ten and single digit numbers. Divisibility rules. Word problems.
- 6:NA93 Using factors in division
- Mental strategies for division including using known facts to complete division, estimating using times tables, estimating using rounding to tens or hundreds, halving. Factors of the composite number.