## PROPORTIONAL REASONING

## OVERVIEW

This half term focuses initially on the meaning of ratio and uses bar models, double number lines and ratio tables to develop deep and connected understanding of ratio and proportion.

The links between ratio and fractions are also explored with pi introduced as the ratio of the circumference of a circle to its diameter. Conversion graphs are used as a contextual introduction to direct proportion with later work with maps and scales.

*Note that Multiplying and Dividing with Fractions has been moved from original WRM scheme to Spring 2 to enable us to fit in the common assessment this half term. *

Medium Term plan here:

**Ratio **

**Lesson 1** – Use a bar model to solve word problems

**Lesson 2** – Use the bar model to solve problems involving ratio

**Lesson 3** – Using the bar model to solve more difficult problems

**Lesson 4** – Simplifying ratio

**Lesson 5** – Work with ratio in the form 1 : n

**Lesson 6** – Maps and scales

**Lesson 7** – Fractions and ratio

**Lesson 8** – Understanding pi as a ratio

**Lesson 9** – Further Circumference Problems

**Multiplicative Reasoning**

**Lesson 10** – An introduction to Proportionality (New for 2024 – 25)

**Lesson 11** – Proportionality and Double Number Lines (New for 2024 – 25)

**Lesson 12** – An introduction to Ratio Tables (New for 2024 – 25)

**Lesson 13** – Money, money, money (Updated with Ratio Tables for 2024 – 25)

**Lesson 14** – Conversion Graphs

**Lesson 15** – Working with similar shapes (Updated with Ratio Tables)

**Lesson 16** – Similar shapes and ratio

**Lesson 17**– Enlarging Shapes

Updated June 2024