Knowledge, skills and understanding
Solving numerical problems
KS2.Ma2.4 – Pupils should be taught to:
KS2.Ma2.4.a – Choose, use and combine any of the four number operations to solve word problems involving numbers in 'real life', money or measures of length, mass, capacity or time, then perimeter and area
Samples: Two digit addition: Activity 1. Two digit subtraction - Problem Solving - activity 1.
Using and applying number
KS2.Ma2.1 – Pupils should be taught to:
Problem solving
KS2.Ma2.1.a – Make connections in mathematics and appreciate the need to use numerical skills and knowledge when solving problems in other parts of the mathematics curriculum
Samples: Counting by Tens. Two digit addition: Activity 1. Two digit subtraction - Problem Solving - activity 1.
Numbers and the number system
KS2.Ma2.2 – Pupils should be taught to:
Number patterns and sequences
KS2.Ma2.2.b – Recognise and describe number patterns, including two- and three-digit multiples of 2, 5 or 10, recognising their patterns and using these to make predictions; make general statements, using words to describe a functional relationship, and test these; recognise prime numbers to 20 and square numbers up to 10 x 10; find factor pairs and all the prime factors of any two-digit integer
Samples: Investigating number patterns. Patterns and multiplication. Multiplication, Patterns and Algebra.
Calculations
KS2.Ma2.3 – Pupils should be taught to:
Mental methods
KS2.Ma2.3.f – Recall multiplication facts to 10 x 10 and use them to derive quickly the corresponding division facts
Samples: Learn the 3 times multiplication table. Learn the 4 times multiplication table.
Number and place value
ACMNA056 – Recall multiplication facts of two, three, five and ten and related division facts
Samples: Learn the 3 times multiplication table. Groups of 3. Learn the 5 times multiplication table.
Number and place value
ACMNA075 – Recall multiplication facts up to 10 * 10 and related division facts
Samples: Learn the 3 times multiplication table. Learn the 4 times multiplication table.
Number and place value
ACMNA100 – Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies
Samples: Short multiplication. Multiplying two digit numbers with a one digit number. .
4.NA.1 – Apply basic addition and subtraction facts, simple multiplication facts, and knowledge of place value and symmetry to:
4.NA.1.a – Combine or partition whole numbers
Samples: Counting to 100 on a number line: Activity 1. Make 10. Addition to 20. Add three numbers - each under 6.
5.NA.1 – Apply additive and simple multiplicative strategies and knowledge of symmetry to:
5.NA.1.a – Combine or partition whole numbers
Samples: Place value - four digit numbers. Place Values. Addition of three digit numbers. Add on numbers under 10.
6.NA.1 – Apply additive and simple multiplicative strategies flexibly to:
6.NA.1.a – Combine or partition whole numbers, including performing mixed operations and using addition and subtraction as inverse operations
Samples: Place value - four digit numbers. Ordering large numbers. Short multiplication. Addition of three digit numbers.
Mathematics
3.OA.3 – Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Glossary, Table 2. http://www.corestandards.org/the-standards/mathematics/glossary/glossary/ )
Samples: Learn the 3 times multiplication table. Learn the 4 times multiplication table.
3.OA.4 – Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = _ ÷ 3, 6 × 6 = ?
Samples: Recall multiplication facts 1x - 10x. Share 12 using division symbol. Timed Challenge: 1X - 10X tables.
Mathematics
3.OA.5 – Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) Examples If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)
Samples: Arrays. Recall multiplication facts 1x - 10x. Timed Challenge: 1X - 10X tables. Matching facts - Concentration Game.
Mathematics
3.OA.7 – Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
Samples: Learn the 3 times multiplication table. Learn the 4 times multiplication table.
Mathematics
4.OA.2 – Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. (See Glossary, Table 2. http://www.corestandards.org/the-standards/mathematics/glossary/glossary/ )
Samples: Recall multiplication facts 1x - 10x. Short multiplication. Multiplying by 10. Multiplying by 10, 100 or 1000.
Mathematics
4.OA.4 – Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite.
Samples: Recall multiplication facts 1x - 10x. Timed Challenge: 1X - 10X tables. Matching facts - Concentration Game.
Mathematics
4.NBT.2 – Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
Samples: Place value - four digit numbers. Recall multiplication facts 1x - 10x. Place Values.
Mathematics
4.NBT.5 – Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Samples: Recall multiplication facts 1x - 10x. 2x-10x Multiplication facts (times tables) - Missing Number. Arrays.
Mathematics
5.NF.5 – Interpret multiplication as scaling (resizing), by:
5.NF.5.a – Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
Samples: Recall multiplication facts 1x - 10x. Timed Challenge: 1X - 10X tables. Matching facts - Concentration Game.