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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
Vector Proof
jchowelljchowell

Vector Proof

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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.
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 Coordinates
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Transformations and Coordinates

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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.
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 - Fractional Scale Factors
jchowelljchowell

Enlargement - Fractional Scale Factors

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Examining the effects of using scale factors between 0 and 1. Worked examples without and with centre of enlargement. Includes worksheet for pupils to write on. All answers [including to worksheet] 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.
Venn Diagrams
jchowelljchowell

Venn Diagrams

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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 Brackets - Grid Method
jchowelljchowell

Expanding Brackets - Grid Method

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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 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.
Algebraic Proof
jchowelljchowell

Algebraic Proof

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Lesson covering algebraic definitions of consecutive, odd and even numbers. Proofs looked at 1] Prove that an expression is a multiple 2] Prove that two expressions are equal 3] Proofs involving properties of odd/even numbers. All skills are introduced through worked examples and have question slides. 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.
Finding an Iterative Formula
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Finding an Iterative Formula

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Rearrange an equation to produce an iterative formula. Understand that there can be more than one iterative formula for an equation. Use an iterative formula to solve an equation.
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.
Proportions and Fractions
jchowelljchowell

Proportions and Fractions

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Understand and write proportions as fractions and as algebraic relationships. Compare ratios and fractions. Express one variable in terms of another when represented as a ratio.