Over the next few weeks for Maths we are beginning to look at fractions. The students in my class are mostly working at New Zealand Curriculum level three. So what’s required of them?
- Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.
- Know basic multiplication and division facts.
- Know counting sequences for whole numbers.
- Know how many tenths, tens, hundreds, and thousands are in whole numbers.
- Know fractions and percentages in everyday use.
You might ask, ‘what does that mean?’ Well here goes:
This means students should 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 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.
May still be a bit heavy I know, but it’s important that you know what’s expected of your child at the year 5 & 6 level.