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.
- 6:26C Extended multiplication
- Practice algorithms for multiplying three-digit numbers by two-digit numbers, involving trading, decimal points, and money units.
- 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