Lesson looking at finding missing angles on a straight line. Starter looks at sums to 180, and simple equations to 180. Explanation of why 360 degrees in a circle and thus why 180 on a straight line. Examples finding missing angles with numbers and then with algebra. All examples and question slides include fully-worked answers

10 Resources on Proportion: 7 Lessons (Worked examples, Questions, All answers provided) What is Proportion? Ratio and Proportion Unitary Method Best Buys Recipes Identifying Direct Proportion Proportion - Real Life Examples Other Resources Puzzles (Extended/Problem Solving) Proportion - Knowledge Organiser Infinite Questions Proportion Excel Worksheet

Lesson uses alternate angles and angles on a straight line to explain why angles in a triangle up to 180 degrees. Worked examples and questions on finding missing angles. Extends to include isosceles triangles, then exterior angles and opposite angles. All answers included.

Lesson looks at angle properties of isosceles triangles and asks missing angle questions. Moves to look at rhombus, parallelogram, isosceles trapezium and kite and asks missing angle questions. Then finding missing angles in a more complicated diagram. All answers included.

“If a:b = 3:4 and b:c = 5:6, find the ratio a : b : c”. Lesson examining both algebraic and worded examples of combining ratios. Full explanation of use of LCM and equivalent ratios. Fully worked examples. Questions of both types. All answers included.

9-1 GCSE lesson. Starter: Converting from terminating decimals into fractions. Definitions of terminating, recurring and non-repeating decimals. How to know if a fraction is a terminating or non-terminating decimal [non-calculator] using prime factors. How to convert from a recurring decimal to a fraction using algebra. All ideas have worked examples. Differentiated slide of questions. All answers included.

Plotting Quadratic Graphs using tables of values. Review of straight line graphs and substitution. Worked examples of different quadratic curves and what is meant by “appropriate axis”. Questions and all answers all included.

Examines 4 types of graphs: Linear, Quadratic, Cubic and Reciprocal. Defines properties of each and similarities (intercept). Multiple Choice questions looking at matching names and then equations to graphs.

Examining the language and use of recurrence relationships. Looks at linear then geometric sequences. Worked examples, questions and match-up activities follow. Then extends to include relations with more then one operation or more than one term leading to Fibonnaci-style sequences and Square Numbers. All answers included.

Explores the properties of Quadratic Curves using a graphical approach. Looks at roots, turning points, intercept and the line of symmetry around the turning point. Starter looks at identifying quadratics, Multiple Choice questions on the properties. Moves on to questions asking pupils to plot a curve and then find the properties. Worked examples and all answers included.

Multiple Choice starter identifying linear and quadratic functions. Reminder of solving linear simultaneous equations graphically. Follows similar process to solve quadratic and linear simultaneous equations. Also looks at styles of questions and manipulations of equations to find which graphs to plot.

Starter using Pythagoras to find diagonals of quadrilaterals. Use of Pythagoras to explain equation of a circle based on the origin. Extends to look at circles not centred on the origin. Plenary looks at an example of simultaneous equations with a circle. Worked examples and question slides. All answers included.

Using differences and second differences to find the general rule for quadratic sequences. Lots of examples with n^2 , 2n^2, 3n^2 etc. Worked examples and questions on all skills. All answers included.

Explores connection between exponential graphs and geometric series in the starter. The shape of exponential functions is explored and the common features. Plotting these graphs is demonstrated. Questions based on two coordinates are explained. Questions and answers included.

Method relates to numerical fractions and reemphasizes canceling common factors. Worked examples for both numerical and algebraic fractions. Looks at single expressions and complex expressions requiring factorisation. Question slides for all skills. All answers included.

Looks at how we know what equations to write to solve problems. Starter includes solving equations and substitution. Examples written to trigger a structured method. Full worked examples and questions. Extension slide includes non-linear example, an example where one answer is nonsensical and one example using ratios. All answers included.

Starter look at two-way tables. Links made to similarities and differences between two-way tables and frequency trees. Worked examples including finding probabilities. Worksheet includes questions finding frequencies from proportions of the whole and extends to larger trees. All answers included. Worksheet answers provided on ppt.

A complete lesson on ‘Stratified Sampling’ that is suitable for GCSE. The lesson is written for the new GCSE specification. Starter on calculating angles for pie charts reintroducing idea of groups being proportions of the whole. Reminder on different types of Sampling and advantages/disadvantages of each. Stratified sampling explained and pupils asked to find the ‘sample proportion’ for data. Explains how to find frequencies of the sample. Questions on each idea. All answers included.

A complete lesson on ‘Sampling Rationale and Types of Sampling’ that is suitable for GCSE. The lesson is written for the new GCSE specification. Starter asks pupils to find the TOP 10 tv programmes from 2018. Then asks how we know? The need for sampling is explained. Problems with sampling is explained (bias, sample size etc). The different types of sampling are examined. All answers included.

Starter; MC asking pupils to recognise different transformations. Examines how each transformation affects specific points and their coordinates. Rules and methods are derived. Worked examples of all skills and question slides. All answers included on the ppt.