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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
Standard Form and Bounds
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Standard Form and Bounds

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Lesson looks at rounding with Bounds. How significant figures apply to standard form. Problem Solving with standard form and Bounds. Full worked examples and ALL answers included.
Understanding Loci
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Understanding Loci

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Looking at locus- around a point to a line to a line segment to 2 points to 2 lines Worked examples and questions included. All answers included.
Tree Diagrams
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Tree Diagrams

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Lesson introduces tree diagrams and explains how used for finding probabilities of independent events. Worked examples. Worksheet, All answers worked through and included on ppt.
Probability_Independence
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Probability_Independence

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What is independence. Looking at how we examine independence with conditional probability using the formula P(A given B) etc. Worked examples of all skills. Question slides. All answers worked through on ppt.
Real Life Graphs
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Real Life Graphs

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Interpret real life situations and their graphical representations. Read information from graphs, understanding their scales. Add information to a graph. Interpret a graph by its shape. Identify the functional relationship of variables from the shape of a graph (linear, quadratic etc).
Understanding Proportion: Multiplicative Grids
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Understanding Proportion: Multiplicative Grids

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GCSE Higher Lesson. Understand a proportional relationship and how it appears. Use multiplicative grids to find a unit rate and to solve problems. Starter, worked examples, worksheet(different questions, same formats), all answers included
Polygons: Properties of Quadrilaterals
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Polygons: Properties of Quadrilaterals

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GCSE Higher Lesson. Understand the different properties of the special quadrilaterals… Solve problems involving properties and recognise and name shapes from descriptions. Starter, worked examples, worksheet, all answers included
Polygons: Angles in Quadrilaterals and Triangles
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Polygons: Angles in Quadrilaterals and Triangles

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GCSE Higher Lesson. Find angles in scalene and isosceles triangles. Find angles in the special quadrilaterals using symmetry properties and understanding of angle properties on straight lines. Starter, worked examples, question slides, worksheet, all answers included.
Factorising - Single Brackets
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Factorising - Single Brackets

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GCSE Higher Lesson. Understand how to factorise expressions into a single bracket. Starter: Common factors, expanding single brackets. Find Four activity on common factors of algebraic expressions. Multiple choice questions on HCF of algebraic expressions. Worked examples on factorising into a single bracket, differentiated questions and answers. Practical problems. Worksheet following lesson design. All answers included.
Expanding Brackets-Grid Method
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Expanding Brackets-Grid Method

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GCSE Higher Lesson. Understand how to multiply two or three brackets together using the grid method… Starter: Algebraic expressions multiplication grid. Worked examples on grid multiplication with numbers extending to algebra. Multiplying two brackets, differentiated questions and answers. Squaring brackets. Multiplying three brackets.Cubing brackets. Practical problems. Worksheet following lesson design. All answers included.
Inverse Functions
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Inverse Functions

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GCSE Higher Lesson. Use inverse operations to find inverse functions, using the correct notation. Starter: Completing input-output machines. Explanation of inverses using input-output machines. Worked examples, differentiated questions and answers.Worksheet following lesson design. All answers included.
Rearranging Formulae
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Rearranging Formulae

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GCSE Higher Lesson. Rearrange a formula where the subject appears once. Starter: Substitution and solving to solve algebraic problems Explanation of subjects, objects and variables in formulae. Worked examples , differentiated questions and answers. Worksheet following lesson design. All answers included.
Index Laws: multiplying,dividing,brackets
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Index Laws: multiplying,dividing,brackets

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GCSE Higher Lesson. Understand and using three Laws of Indices: Multiplying with indices Dividing with indices Brackets with indices Starter: writing numbers using indices. Review of base number, power/index. Worked examples on each of the rules, separate differentiated questions and answers on each rule. Harder mixed problems. Worksheet following lesson design. All answers included.
Estimating Calculations
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Estimating Calculations

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GCSE Higher Lesson. Estimate different calculations and values, including square roots. Starter. Worked examples. Question slides. Worksheet reviewing lesson. All answers included.
Writing Numbers in Standard Form
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Writing Numbers in Standard Form

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9-1 GCSE Lesson covering what standard form is, why we use it. How to convert from ordinary numbers to standard form and vice-versa. Examples and a differentiated LIMBO worksheet all with answers provided. Plenary is an exam style question involving converting between units of mass and ordering.
Problem Solving with Pythagoras
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Problem Solving with Pythagoras

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Review lesson on Pythagoras Theorem followed by contextual questions eg distance between two points, lengths of diagonals in quadrilaterals, distances from journeys described using bearings. 2 Starters on calculating square roots and estimating square roots. Answers provided for all questions.
Trigonometry in Right Triangles
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Trigonometry in Right Triangles

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9-1 Lesson applying trigonometry to right triangles. Starter reviews trig functions. Questions using trig in rectangles, isosceles triangles, angles of elevation & depression, problem solving. Worked examples, questions - full answers provided.
Exact Trigonometric Values
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Exact Trigonometric Values

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9-1 GCSE Lesson explaining the derivation of the exact values for sin,cos & tan of 30,45,60 degrees. Includes a worksheet [slide 13] for pupils to complete and questions & answers examining how these values are used in questions.
Equations of Perpendicular Lines
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Equations of Perpendicular Lines

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9-1 GCSE lesson. Explains perpendicular thorough diagrams and then through algebra. Includes questions examining the gradient of perpendicular lines and questions finding perpendicular lines through a specific point.