Lesson explores rationalising involving single expression denominators, denominators with the surd multiplied by a coefficient and the use of a conjugate where the denominator expression requires the difference of two squares method to remove the square root. All skills are demonstrated by worked examples and differentiated question slides are included. Exam style questions included. All answers included.

Lesson looking at conventions of naming straight lines and angles. Starter examines pupils understanding of types of angles. Fully worked examples and questions to consolidate and demonstrate understanding.

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.

“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.

Lesson looking at how we simplify rations which have either decimals or fractions as their component shares. Starter reviews simplifying and sharing with integer shares. Ratios with decimals looks at multiplying by powers of 10 and then simplifying where appropriate. Ratios with fractions looks at examples with common denominators and with different denominators. Differentiated slides on each topic. All worked examples and question slides include answers.

Lesson looking at finding Common Factors and Highest Common Factors of Algebraic Expressions. Starts with review of factors and common factors for number. Uses listing factors for algebraic expressions to introduce ideas before looking at a more factorising approach. Plenary looks at working backwards from factors to expressions using Venn diagrams. All worked examples and question slides have 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.

Starter looks at factorising numbers using square numbers as one of the factors. Rational and Irrational numbers are explained and defined. Surds are then defined and explained in the context of square roots. Simplifying a surd is demonstrated and full simplification is explained using root 48. Question slides on each skill included. All answers provided.

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.

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.

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.

Lesson introduces language of formulae, variables, subject etc. Uses simple formulae with rectangles and circles to explain calculating an alternative variable. Looks first at formulae where variables only occur once. Extenda to look at examples where variables occur more than once. All skills have worked examples and questions. All answers included.

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.

Lesson explores finding area in non-right triangles using formula ½ abSinC. Worked examples and questions on 1. finding the area 2. finding a missing angle given the area 3. finding a missing side given the area. Looks at example of 3. with isosceles triangle. All answers included.

Starter looks at adding vectors. Demonstrates how to find the magnitude of a vector using Pythagoras. Explanation of proving vectors are parallel and then if three points are on a straight line (collinear). Worked examples and questions on all skills. All answers included on ppt.

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.