ePortfolio Maths - Strategy

Group 7 Strategy Sample Term 2

Achievement objective:

NA3-1: Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals,

and percentages.

Elaboration on this Achievement Objective:

This means students will use a range of mental strategies based on partitioning and combining to solve

addition and subtraction problems with multi-digit whole numbers and simple decimals (tenths).

These strategies include standard place value, for example 603 – 384 = as 60 – 38 tens less one (219),

rounding and compensating, for example 923 – 587 = as 923 – 600 + 13 = , and reversing (applying inverse)

, for example 923 – 587 = as 587 + = 923. Students should also connect known multiplication facts to solve

multiplication and division problems, for example 13 x 6 = as 10 x 6 + 3 x 6 = (distributive property),

14 x 9 = as 2 x (7 x 9) = (associative property) and 36 ÷ 9 = using 4 x 9 = 36 (inverse).

This multiplicative understanding allows students at Level Three to find fractions of quantities,

for example two-thirds of 24 as 24 ÷ 3 x 2 = 16, find simple equivalent fractions related to doubling and halving,

for example 3/4 = 6/8 , to add and subtract fractions with the same denominators,

for example 3/4 + 3/4 = 6/4 = 1 2/4, and to convert improper fractions to mixed numbers,

for example 17/3 = 5 2/3. Students should know the decimals and percentage conversions of simple fractions

(halves, quarters, fifths, tenths) and use these to solve simple percentage of amount problems,

for example 50% is fifty out of one hundred. 50% is one half so 50% of 18 is 9 or five is half of ten.

Level Three corresponds to the Advanced Additive stage of the number framework.

In group 7, we have been learning a variety of additive and multiplicative strategies.
Below you will see samples of work where we have had to choose which strategies to use to solve a
variety of problems.

Activity 1:

Activity 2:

Activity 3:

Self Reflection:

In this sample of learning, I learnt how to use a range of multiplicative and additive strategies when working out
different problems of different levels.

My next step is to begin to work out more difficult problems.