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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: Special Polygons
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Angle Reasoning: Special Polygons

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Lesson looks at angle properties of isosceles triangles and asks missing angle questions. Moves to look at rhombus, parallelogram, isosceles trapezium and kite and asks missing angle questions. Then finding missing angles in a more complicated diagram. All answers included.
Fraction Calculations: Add & Subtract
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Fraction Calculations: Add & Subtract

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Lesson aimed at reviewing these skills. Starter - Multiple Choice [converting between mixed and improper, equivalent fractions]. Fractions with the same denominators. 2. Fractions with different denominators 3. Mixed Numbers. Worked examples. Differentiated worksheet slide. All answers included.
Introducing and Simplifying Surds
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Introducing and Simplifying Surds

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Starter looks at factorising numbers using square numbers as one of the factors. Rational and Irrational numbers are explained and defined. Surds are then defined and explained in the context of square roots. Simplifying a surd is demonstrated and full simplification is explained using root 48. Question slides on each skill included. All answers provided.
Solving Equations Graphically
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Solving Equations Graphically

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Lesson explores solving non-linear equations graphically. Examples look at adding horizontal lines [y=4 etc] and then sloping lines [y=x+2] to solve different problems.
Prisms: Volume and Surface Areas
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Prisms: Volume and Surface Areas

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Starter reviewing areas of 2D shapes. Examples of volume calculations looking at areas of cross-sections leading to volume. Surface area found by through finding areas of each face. Worked examples and questions on all ideas. All answers included.
Similar Shapes - Area and Volume
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Similar Shapes - Area and Volume

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Using similarity to find areas of 2D shapes and volumes of 3D solids. Starter explores multiplicative relationships. Worked examples and table looking at 2D shapes to find relationship between side scale factor and area scale factor. Similar format extending to volume. Questions on all skills included. All answers included.
Quadratics-Find Properties Graphically
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Quadratics-Find Properties Graphically

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Explores the properties of Quadratic Curves using a graphical approach. Looks at roots, turning points, intercept and the line of symmetry around the turning point. Starter looks at identifying quadratics, Multiple Choice questions on the properties. Moves on to questions asking pupils to plot a curve and then find the properties. Worked examples and all answers included.
Equation of A Circle
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Equation of A Circle

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Starter using Pythagoras to find diagonals of quadrilaterals. Use of Pythagoras to explain equation of a circle based on the origin. Extends to look at circles not centred on the origin. Plenary looks at an example of simultaneous equations with a circle. Worked examples and question slides. All answers included.
The Pattern in Quadratic Sequences
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The Pattern in Quadratic Sequences

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Using the Term-to-Term Rule to generate quadratic sequences. Exploring differences and second differences to investigate the similarities between sequences. Worked examples of all skills. All answers included.
Frustums- Volume
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Frustums- Volume

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Starter looks at using the formulae for volume and surface areas for 3D shapes. Explanation of frustum as shape created when top removed from cone or pyramid. Examples of finding volume of a frustum with lengths of whole cone/pyramid included. Extends by looking at using similarity to find volume when given only frustum. Worked examples and questions for all skills. All answers included.
Trigonometry - Cosine Rule
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Trigonometry - Cosine Rule

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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.
Functions - Composite Functions
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Functions - Composite Functions

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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.
Trigonometry - Sine Rule
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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.
Stratified Sampling
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Stratified Sampling

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A complete lesson on ‘Stratified Sampling’ that is suitable for GCSE. The lesson is written for the new GCSE specification. Starter on calculating angles for pie charts reintroducing idea of groups being proportions of the whole. Reminder on different types of Sampling and advantages/disadvantages of each. Stratified sampling explained and pupils asked to find the ‘sample proportion’ for data. Explains how to find frequencies of the sample. Questions on each idea. All answers included.
Sampling Rationale and Types
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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.
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.
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.
Expanding Brackets - FOIL method
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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.