Thoughtful Mathematics Teaching Resources Designed to Improve Understanding and Outcomes
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RATIO AND PROPORTION
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Lengths
I Do, We Do, You Do Example Sheet covering converting units of lengths.
Writing Ratios
I Do, We Do, You Do Example Sheet and Worksheet on writing ratios using correct notation from a diagram.
Equivalent Ratios
I Do, We Do, You Do Example Sheet and Worksheet on determining equivalent ratios (including Simplifying Ratios) both diagrammatically and numerically.
1:n and n:1 Ratios
I Do, We Do, You Do Example Sheet covering reducing ratios to the forms 1:n and n:1.
Sharing in a Ratio
I Do, We Do, You Do Example Sheets and Worksheet on Sharing in a Ratio including given total, given one quantity and given the difference.
Complex Ratios
I Do, We Do, You Do Example Sheet covering more complex problems, including a:b and b:c and linking Ratio and Two-Way Tables.
Unitary Method
I Do, We Do, You Do Example Sheet introducing the idea of proportion through a Unitary Method. This also uses a bar model.
Basic Direct Proportion
I Do, We Do, You Do Example Sheet covering numerical Direct Proportion through building upon the Unitary Method.
Direct Proportion Tables
I Do, We Do, You Do Example Sheets and Worksheet on using a table to solve proportion problems and also to introduce the constant of proportionality.
The second worksheet ask students to identify mistakes in Direct Proportion Tables.
Formal Linear DP
I Do, We Do, You Do Example Sheet covering formal Direct Proportion, through understanding the constant of proportionality.
Formal Non-Linear DP
I Do, We Do, You Do Example Sheet covering formal Non-Linear Direct Proportion.
DP and Graphs
Worksheet covering applying knowledge of direct proportion to their graphs.
Recipe Problems
I Do, We Do, You Do Example Sheet covering applying knowledge of direct proportion to Recipe Problems.
Formal Inverse Proportion
I Do, We Do, You Do Example Sheet covering formal linear and non-linear Inverse Proportion.
Distance-Time Graphs
I Do, We Do, You Do Example Sheet covering drawing Distance-Time Graphs and interpreting Distance-Time Graphs