SEQUENCES, INDICES & SURDS

Lesson Resources

This route map is for Year 11 classes that have significantly under-performed in the end of year 10 assessment.

The purpose is to boost classes that are performing at grades 1-2 to achieve grade 4+ by the end of Year 11.

This document has been developed from the suggested P16 route map from AQA.

Lesson objective: draw an image of a shape with a negative scale factor.

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Lesson objective: draw the image of a shape using a fractional scale factor

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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

Learning objective : to determine if shapes are similar by forming and simplifying ratio statements

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Learning Objective: Order directed numbers using lines and appropriate symbols.

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Print Slide 10 for students to write on

Solving pairs of simultaneous equations was introduced in Year 10 Autumn 2.

This set of lessons has been written using some resources from variationtheory.com to enable students to recall and practice the process of eliminating variables to solve two linear simultaneous equations.

Lesson 1

Learning Objective: to be able to identify which operation to use to eliminate either the x or y variable from a pair of linear simultaneous equations.

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Eliminating a Variable PPT

Lesson 2

Learning Objective: to be understand how to scale equations to enable the elimination of a variable.

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Eliminating a Variable using Scaling PPT

Lesson 3

Learning Objective: to work out the value of the second variable.

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Working out the other variable PPT

Lesson 4

Learning Objective : to consolidate all three lessons and fully solve a pair of linear simultaneous equations.

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Consolidation PPT