ePortfolio Maths - Strategy

Group 9 Strategy Sample Term 2

Achievement objectives:
NA4-4: Apply simple linear proportions, including ordering fractions.

Elaboration on this Achievement Objective:

This means students will solve problems involving linear proportions. “Linear proportion” is a term used to generalise situations that involve equivalent fractions. At Level Four students should be able to solve the following types of problems:

Comparing the size of two fractions, by converting them to equivalent fractions with a common denominator, or with reference to benchmark fractions, for example 2/3 > 4/9 because 2/3 is greater than one half while 4/9 is less, or because 2/3 = 6/9.

Finding equivalent ratios by either scaling up or down by a whole number multiplier, for example 2:5 is the same ratio as 8:20 (scaling up) or 12:18 is the same ratio as 2:3 (scaling down).

Finding equivalent rates by either scaling up or down with the same measurement units, for example 18km in 15mins is the same speed as 72km in 60mins.

Recognising when two “fraction of an amount” situations give equal or unequal answers, e.g 75% of $12 is the same as 25% of $36.

Recognising when sharing division situations give equal or unequal shares, for example three pizzas shared between five people is a smaller share than two pizzas shared between three people.

Finding how many measures of a fraction fit into one, for example A trip uses 2/5 of a tank of petrol. How many trips can be made on a full tank? (1 ÷ 2/5 = 5/2 = 2 1/2 ).



We have been consolidating ideas around fractions and ratios. In the pictures below you will see examples of finding ratio and fractions and converting between the two.

We have been learning about equivalent fractions and ordering them. It’s important that we can justify our answers when comparing fractions.

Self Reflection:

In this sample of learning, I learnt how to use ratios and equivalent fractions.

My next step is to remember how ratios work so I can use them later to solve problems.