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Molehill Maths

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Lessons and Diferentiated Resources to reduce the planning mountain

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Lessons and Diferentiated Resources to reduce the planning mountain
Rearranging Formulae
jchowelljchowell

Rearranging Formulae

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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.
Factorising - Completing the Square
jchowelljchowell

Factorising - Completing the Square

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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.
Trigonometry - Sine Rule
jchowelljchowell

Trigonometry - Sine Rule

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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.
Averages From Tables
jchowelljchowell

Averages From Tables

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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.
Applying the Sine & Cosine Rules
jchowelljchowell

Applying the Sine & Cosine Rules

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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.
Trigonometry - Area of a Triangle
jchowelljchowell

Trigonometry - Area of a Triangle

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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.
Vectors and Geometry
jchowelljchowell

Vectors and Geometry

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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.
Vectors Introduction
jchowelljchowell

Vectors Introduction

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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.
Transformations and Invariance
jchowelljchowell

Transformations and Invariance

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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.
Enlargement - Negative Scale Factors
jchowelljchowell

Enlargement - Negative Scale Factors

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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.
Expanding Brackets - FOIL method
jchowelljchowell

Expanding Brackets - FOIL method

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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.
Factorising Quadratics
jchowelljchowell

Factorising Quadratics

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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.
GCSE Proportional Relationships
jchowelljchowell

GCSE Proportional Relationships

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Lesson examining what proportion is and how to use proportional relationships to solve problems. Looks at describing proportion using words, fractions , decimals or percentages. Proportional relationships examined include unit conversion, using formulae and recipes. Methods include double number lines and bar model methods. Questions on all skills. All answers included on the ppt.
Trial and Improvement
jchowelljchowell

Trial and Improvement

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Understand bracketing (trial and improvement) as an iterative process. Use trial and Improvement to find approximate solutions to equations.
Christmas Codebreakers
jchowelljchowell

Christmas Codebreakers

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6 different codebreaker puzzles all answers on the same key code slide. 1. Percentages 2. Fractions of 3. BIDMAS 4. Sequences - Missing Terms 5. Substitution 6. Adding and Subtracting 2-digit numbers. All answers included on the ppt.
Proportion & Graphs: Average Change
jchowelljchowell

Proportion & Graphs: Average Change

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Understand the difference between average and instantaneous change and the difference between using chords and tangents for measuring rates of change, and choose as appropriate.