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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
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.
Sampling Rationale and Types
jchowelljchowell

Sampling Rationale and Types

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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.
Types of Data
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Types of Data

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A complete lesson on ‘Types of Data’ written for the new GCSE. Starter asks pupils to match data sets with pie charts. Lesson examines Qualitative and Quantitative data. Categorical and Ordinal data. Questions on which display methods should be used for different types of data. All answers included.
Applying the Sine & Cosine Rules
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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.
Vectors and Geometry
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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
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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.
Enlargement - Negative Scale Factors
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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
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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
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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
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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.