AC9M4A02 Year 4 Mathematics

Content descriptor recall and demonstrate proficiency with multiplication facts up to 10 x 10 and related division facts; extend and apply facts to develop efficient mental strategies for computation with larger numbers without a calculator

Elaborations

• • Elaboration using arrays on grid paper or created with blocks or counters to develop, represent and explain patterns in the 10 \times 10 multiplication facts; using the arrays to explain the related division facts
• • Elaboration using materials or diagrams to develop and record multiplication strategies such as doubling, halving, commutativity, and adding one more or subtracting from a group to reach a known fact; for example, creating multiples of 3 on grid paper and doubling to find multiples of 6; recording and explaining the connections to the \times3 and \times6 multiplication facts: 3, 6, 9, … doubled is 6, 12, 18, …
• • Elaboration using known multiplication facts for 2, 3, 5 and 10 to establish multiplication facts for 4, 6, 7, 8 and 9 in different ways; for example, using multiples of 10 to establish the multiples of 9 as “to multiply a number by 9 you multiply by 10 then take the number away”; 9 \times 4 = 10 \times 4\space – \space4, so 9 \times 4 is 40 \space– \space4 = 36; using multiple of 3 as “to multiply a number by 9 you multiply by 3, and then multiply the result by 3 again”
• • Elaboration using arrays and known multiplication facts for twos and fives to develop the multiplication facts for sevens, applying the distributive property of multiplication; for example, when finding 6 \times 7, knowing that 7 is made up of 2 and 5, and using an array to show that 6 \times 7 is the same as 6 \times 2 + 6 \times 5 = 12 + 30 which is 42
• • Elaboration using known multiplication facts up to 10 \times 10 and the inverse relationship of multiplication and division to establish corresponding division facts
• • Elaboration designing, creating and playing instructive card games that involve the recall, recognition and explanation of the 10 \times 10 multiplication facts and related division facts