The purpose of this activity is to support students in treating a given non-unit rate as a unit that can be repeated (iterated), and equally partitioned, to solve problems.
Use the cards created from the copymaster and toy $1 coins to introduce the following problems, or similar problems involving money and more relevant contexts. Model each problem befor asking students to solve it.
Allow calculators if students need to use them to make and/or check calculations. Consider grouping students to encourage peer scaffolding and extension. Look for students to apply division and justify the operation by referring to equal sharing.
Consider introducing relevant te reo Māori kupu, such as pāpātanga (rate), whakawehe (divide, division), and whakarea (multiply, multiplication).
For each problem, students should draw a rate table, including the operational arrows.
Lexi buys 3 mangoes for $5.00. How many mangoes will she get for $20.00?
The initial rate, 3 for 5, makes using a unit rate strategy complicated. This may encourage students to use a "within" strategy.
For some students you may need to demonstrate with materials how the iteration to the 3 for 5 rate works.
Next steps
Printed from https://nzmaths.co.nz/resource/working-equivalent-rates at 12:51pm on the 28th April 2024