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.
Lesson looking at creating sample space diagrams and then finding probabilities from them. Starter is on single event probabilities. Examples look at sums and products with dice and spinners. Worksheet included. All answers included. Answers for worksheet included on ppt.
Explanation and worked examples for using the Cosine Rule. Finding a missing side and finding a missing angle treated separately. Worked examples and question slides on each skill. All answers are worked through.
Starter looks at single functions. Explanation of the notation of composite functions [ie fg(x) and gf(x)]. Worked examples explaining that order is important. Questions on outputs from combining 2 functions. Combining 3 functions explained. Solving composite functions to find a single value included.All skills have worked examples and questions. All answers included.
Lesson describes functions from input-output machines. Definitions explained [range, domain etc]. Finding function rules, finding outputs and solving functions all examined through worked examples. Questions on each skill and general question slide on all skills. All answers included.
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.
Starter looks at expanding double brackets. Explanation of why we might want to use method. How to complete the square when a = 1 explained with worked examples.Questions and worked answers. How to complete the square when a≠1 explained with worked examples. Questions on all skills. All answers included.
Starter MC 1 -10 looks at trigonometry in Right-angled Triangles. Sine Rule introduced and explained. Lesson looks at finding a missing side, worked examples and questions. Then finding a missing angle, worked examples and questions. Plenary MC 1-10 looking at choosing when to choose Sine Rule and correct workings.
A complete lesson on ‘Averages from Tables’, written for the new GCSE specification.
Examines two different types of large data sets ungrouped and grouped. Explains when and why we sometimes have to find estimates of the averages. Worked examples of all skills included. Questions and all answers included.
Lesson looking at when to apply each rule. Starter shows triangles and asks Sine or Cosine. Worked examples of worded questions showing method. starting with drawing and labelling a diagram. Question sheet has mixed questions. All answers included as worked through solutions.
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.
Looks at describing vectors in relation to 2D shapes. Worked examples showing how fractions of vectors, negative vectors and lines divided in half or through ratios are included. Question slides. All answers included on the ppt.
Lesson introducing the ideas of describing translation using vectors. Starter identifying coordinates. Definition of a vector, lots of examples and questions included. Looks at how to translate shapes using a vector.
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.
Starter asks pupils to recognise which transformation produced an image [MC]. Definition of invariance and then examination of how each transformation does (or doesn’t) produce invariant points. Question slides. All answers included on ppt.
Starter on scale factors. Worked examples on positive scale factors with a centre of enlargement and then extends to negative scale factors. Examples with integer and then fractional negative scale factors. Includes worksheet for pupils to write on. All answers (including for worksheet) included on the ppt.
2 lessons and a worksheet covering Venn Diagrams. Includes looking at describing sets, populating Venn diagrams from with elements from sets and from frequencies. explains how to find probabilities from Venn diagrams. Introduces conditional probability and extends to Venn diagrams with 3 sets. All answers included, worksheet answers on ppt.
Expanding two or three brackets using the Grid method. Starter covers algebraic multiplication grids and multiplying two-digit numbers reviewing the grid method. Worked examples and question slides for both two and three bracket examples of increasing difficulty. All answers included.
Expanding two or three brackets using the FOIL method. Starter covers algebraic multiplication grid. Worked examples explain the FOIL method and there are further worked examples and question slides for both two and three bracket examples of increasing difficulty. All answers included.
Lesson looks at Linear expressions as a review of factorising skill. Introduces factorising double brackets by looking at cases where a = 1 and explaining a, b and c in ax^2+bx+c. Then looks at cases where a≠1 using the box model. All skills include worked examples and question slides. ALL answers are included.