The purpose of this activity is to support students in developing their knowledge of fraction to percentage conversions. The problems are extended to include wholes that can be reduced to simple fractions using common factors.
Alter the stack of 12 cubes to create different fractions.
What fraction of this stack is yellow? What fraction is blue?
What is each fraction as a percentage?
Students may recognise that one quarter of the stack is blue and three quarters of the stack is blue. They may know that 1/4 = 25% (also 0.25) and 3/4 = 75% (also 0.75).
Record 3/12 = 1/4 and 9/12 = 3/4.
What did we do to 3/12 and 9/12 to create 1/4 and 3/4?
Highlight that three, nine and 12 are divided by three. Instead of treating single cubes as the parts, as in 3/12 and 9/12, groups of three cubes are treated as the parts.
What fraction of this stack is yellow? What fraction is blue?
What is each fraction as a percentage?
Students may recognise that one third of the stack is yellow and two thirds of the stack is blue. They may know that 1/3 = 33.3% (also 0.3) and 2/3 = 66.6% (also 0.6)
Record 4/12 = 1/3 and 8/12 = 2/3.
What did we do to 4/12 and 8/12 to create 1/3 and 2/3?
Highlight that four, eight and 12 are divided by four. Instead of treating single cubes as the parts, as in 4/12 and 8/12, groups of four cubes are treated as the parts.
Next steps
Printed from https://nzmaths.co.nz/resource/more-complex-fractions-percentages at 6:02pm on the 3rd May 2024