Scaling is the operation of changing one value to another using multiplication or division, using the same factor or divisor

A double number line is used to show the relationship between two values, in this case, the distances on the plan and those in real life

Solve problems involving scaling and ratio

Maths

In this unit pupils will describe the relationship between 2 factors using a ratio grid to calculate unknown values They will use their knowledge of multiplication and division to solve scaling problems and identify and describe the relationship between two shapes using scale factors and ratios. In the future unit pupils will link fractions to ratio and look at ratio with exchange and conversions.

 In the prior unit pupils explained why the product stayed the same when one factor is doubled and the other is halved using knowledge of equivalence. They explained the effect on the quotient when scaling the dividend and divisor by the same amount. In this unit pupils will describe the relationship between two factors and use a ratio grid to calculate unknown values. 

Ratio and proportion

Sam is making lemonade. They use one part lemon for every 3 parts water. Which bar models represent Sam's lemonade?

Which lemonade will be the strongest in lemon flavour?

Sam is making lemonade. They use one part lemon for every 3 parts water. If they use 15 parts of water, how many parts of lemon will they need?

A necklace has 2 patterned beads for every 3 plain beads. There are 12 patterned beads. How many plain beads will there be?

A necklace has 2 patterned beads for every 3 plain beads. There are 12 plain beads. How many patterned beads will there be?

A necklace has 2 patterned beads for every 3 plain beads. There are 40 beads in the whole necklace. How many patterned beads will there be?

Which equations represent the question 'How many 7s are there in 63'?

Which equation represents the length of the room in real life?

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