## REPRESENTATIONS

## OVERVIEW

This half term we will be building on learners knowledge of coordinates from KS2 by looking formally at algebraic rules for straight lines starting with lines parallel to the coordinate axes but developing understanding of straight lines in the form y = mx + c and links graphs to sequences.

Following this learners are introduced to bivariate data and the concept of linear correlation. They will extend their knowledge from KS2 to work with both discrete and continuous data.

Building from Year 7 and earlier lessons on two way tables learners work with the idea of probability and how to calculate probabilities from two-way tables and Venn diagrams.

Please see here for additional medium term plans and resources including LPA & HPA guidance, further exemplar questions, worksheets and videos.

## BUILDING ON

Plotting coordinates

Substitution into formulae and function machines in Year 7

Working with directed numbers and fractions

Multiplication methods

Understanding of simple probability in Year 7

## POWERFUL KNOWLEDGE

- Work with coordinates in all four quadrants
- Identify and draw lines parallel to the axes
- Recognise and use lines in the form y = x + c
- Recognise and use lines in the form y = mx
- Draw and interpret Scatter Graphs
- Understand and describe linear correlation
- Draw and use lines of best fit
- Read and interpret frequency tables
- Represent data in two-way tables
- Find probabilities from two way tables
- Construct sample spaces for 1 or more events
- Use the product rule to find the total number of possible outcomes

**Working in the Cartesian Plane **

Lesson 1 – Coordinates

Lesson 2 – Coordinate Corners and midpoints

Lesson 3 – Lines parallel to the axes

Lesson 4 – Plotting Linear Graphs

Lessons 5 – Intercepts

Lesson 6 – Measure of Slope

Lesson 7 – Linear Graph problems

**Representing Data**

Lesson 8 – Interpreting Points

Lesson 9 – Plotting Scatter Graphs

Lesson 10 – Linear Correlation

Lesson 11 – Line of best fit

Lesson 12 – Reading Frequency Tables

Lesson 13 – Drawing Two-Way Tables

**Tables & Probability**

Lesson 14 – Find probabilities from a Two-Way Table

Lesson 15 – Sample Space Diagrams

Lesson 16 – The Product Rule

Lesson 17 – Find further probabilities from Venn Diagrams

Half Term Check Up