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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
Angle Reasoning: Angles in Quadrilaterals
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Angle Reasoning: Angles in Quadrilaterals

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Lesson explains why angles in a quadrilateral add up to 360 degrees by splitting the shapes into 2 triangles . Worked examples and questions on finding missing angles. Extends with questions including right angles exterior angles and opposite angles.
Angle Reasoning: Angles in Polygons
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Angle Reasoning: Angles in Polygons

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Lesson explains how to find the angle sum for different polygons by splitting each into triangles.A table of angle sums for different polygons is then used. Worked examples and then questions on finding missing angles in different polygons.
Fraction Calculations_Multiply & Divide
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Fraction Calculations_Multiply & Divide

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Starter - Multiple Choice [converting between Mixed and Improper, Equivalent Fractions]. 1. Multiplying Fractions. 2. Multiplying Fractions with cancelling 3. Dividing Fractions. 4] Multiplying and dividing with Mixed Numbers. Worked examples and questions for each skill. All answers included.
Factorising into a single bracket
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Factorising into a single bracket

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Starter reviews CF and HCF with integers. Explanation and worked examples of HCF with algebraic expressions. Multiple Choice on HCF of algebraic expressions. Explanation and worked examples on factorising. Multiple Choice on factorising. Differentiated worksheet slide. All answers included.
Input Output Machine: Loop Cards
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Input Output Machine: Loop Cards

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Lesson prompting pupils to create their own set of loop cards. Introduction of 1] input output machine 2] one-step and two-step machines 3] Loops Examples of Loops with one-step and two-step machines.
Linear Programming Solutions
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Linear Programming Solutions

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Written for the AQA GCSE topic. Starter looks at identifying inequalities on graphs. Worked examples of maximising objective functions. Worksheet with graph questions to solidify learning. All answers included.
Circles: Mensuration Review
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Circles: Mensuration Review

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Lesson reviewing lengths and areas involving circles. Starter involves naming parts of a circle. Examples and Questions cover circumferences using diameter or radius, area, lengths of arcs, areas of sectors. All topics have worked examples and questions. All answers included.
Algebraic Fractions - Simplifying
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Algebraic Fractions - Simplifying

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Starter looks at separate skills of simplifying numerical fractions and factorising algebraic expressions. Looks first at algebraic fractions which don’t need factorising, worked examples, questions. Then extends to look at fractions requiring factorising (including difference of two squares). Questions on all skills. All answers provided.
Algebraic Fractions: Add and Subtract
jchowelljchowell

Algebraic Fractions: Add and Subtract

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Lesson splits skill into 3 parts A: Fractions with numerical denominators B: Fractions with single expression denominators C: Fractions with multiple expression denominators Worked examples and questions on each skill. Problem Solving question using vector lengths. All answers included.
Quadratics -  Properties Algebraically
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Quadratics - Properties Algebraically

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Explores the properties of Quadratic Curves using an algebraic approach. Looks at roots, turning points, intercept and the line of symmetry around the turning point. Questions on factorising to find roots, finding the line of symmetry and the turning point through substitution. Worked examples and questions on all skills. All answers included.
Functions - finding an inverse
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Functions - finding an inverse

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Using inverse operations to find inverse functions. Defines an inverse function, an introduces correct notation. Worked examples and questions on single functions. Lesson also looks at inverses of composite functions. Question slides. All answers included.
Functions - defining and using
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Functions - defining and using

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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.
Factorising - Completing the Square
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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.
GCSE Proportional Relationships
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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.
Proportions and Fractions
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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.