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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
Factorials
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Factorials

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9-1 GCSE lesson. Starter reviews standard form and sizes of numbers. Definitions of repeated multiplication and increasing multiplication and of factorials. Worked examples calculating with factorials. Differentiated worksheet on Factorials. Plenary explores 0! and 52!.
Calculations with Upper and Lower Bounds and Error intervals
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Calculations with Upper and Lower Bounds and Error intervals

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Whole lesson compliant with 9-1 GCSE specifications. Starter reviews finding upper and lower bounds and looks at calculating bounds for two variables. Examples of questions where bounds or error intervals are applied. GCSE exam style questions alkso included. All answers included.
Proportion - Real Life Examples
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Proportion - Real Life Examples

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Lesson using the ideas of Direct Proportion to solve problems involving unit conversion (length, mass) and currency exchange rates. Worked examples. Questions for each idea. All Answers provided.
Simultaneous Equations -  Elimination
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Simultaneous Equations - Elimination

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Lesson focuses on the elimination method to solve simultaneous equations. Explanation of simultaneous equations, elimination ideas. Lesson covers a) same coefficients same signs, b) same coefficients different signs, c) different coefficients. Worked examples and questions on each skill. Plenary looks at worded questions. All answers included.
Angles on a Straight Line
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Angles on a Straight Line

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Lesson looking at finding missing angles on a straight line. Starter looks at sums to 180, and simple equations to 180. Explanation of why 360 degrees in a circle and thus why 180 on a straight line. Examples finding missing angles with numbers and then with algebra. All examples and question slides include fully-worked answers
Angle Reasoning: Angles in a Triangle
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Angle Reasoning: Angles in a Triangle

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Lesson uses alternate angles and angles on a straight line to explain why angles in a triangle up to 180 degrees. Worked examples and questions on finding missing angles. Extends to include isosceles triangles, then exterior angles and opposite angles. All answers included.
Find CF and HCF of Algebraic Expressions
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Find CF and HCF of Algebraic Expressions

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Lesson looking at finding Common Factors and Highest Common Factors of Algebraic Expressions. Starts with review of factors and common factors for number. Uses listing factors for algebraic expressions to introduce ideas before looking at a more factorising approach. Plenary looks at working backwards from factors to expressions using Venn diagrams. All worked examples and question slides have answers included.
Recurring and Terminating Decimals
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Recurring and Terminating Decimals

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9-1 GCSE lesson. Starter: Converting from terminating decimals into fractions. Definitions of terminating, recurring and non-repeating decimals. How to know if a fraction is a terminating or non-terminating decimal [non-calculator] using prime factors. How to convert from a recurring decimal to a fraction using algebra. All ideas have worked examples. Differentiated slide of questions. All answers included.
Recognising Graphs
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Recognising Graphs

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Examines 4 types of graphs: Linear, Quadratic, Cubic and Reciprocal. Defines properties of each and similarities (intercept). Multiple Choice questions looking at matching names and then equations to graphs.
Cones & Spheres: Volume and Surface Area
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Cones & Spheres: Volume and Surface Area

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Explanation of a cone as a type of pyramid and derives formulae from those of pyramids. Worked examples and questions. Formulae for spheres, worked examples and questions. Lesson also extends to look at hemispheres and compound shapes and use of π in answers. All answers included.
Non-Linear Simultaneous Equations: Graph
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Non-Linear Simultaneous Equations: Graph

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Multiple Choice starter identifying linear and quadratic functions. Reminder of solving linear simultaneous equations graphically. Follows similar process to solve quadratic and linear simultaneous equations. Also looks at styles of questions and manipulations of equations to find which graphs to plot.
Exponential Functions - Graphs
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Exponential Functions - Graphs

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Explores connection between exponential graphs and geometric series in the starter. The shape of exponential functions is explored and the common features. Plotting these graphs is demonstrated. Questions based on two coordinates are explained. Questions and answers included.
Algebraic fractions: Multiply/Divide
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Algebraic fractions: Multiply/Divide

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Method relates to numerical fractions and reemphasizes canceling common factors. Worked examples for both numerical and algebraic fractions. Looks at single expressions and complex expressions requiring factorisation. Question slides for all skills. All answers included.
Sample Space Diagrams
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Sample Space Diagrams

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Lesson looking at creating sample space diagrams and then finding probabilities from them. Starter is on single event probabilities. Examples look at sums and products with dice and spinners. Worksheet included. All answers included. Answers for worksheet included on ppt.
Rearranging Formulae
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Rearranging Formulae

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Lesson introduces language of formulae, variables, subject etc. Uses simple formulae with rectangles and circles to explain calculating an alternative variable. Looks first at formulae where variables only occur once. Extenda to look at examples where variables occur more than once. All skills have worked examples and questions. 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.
Trigonometry - Area of a Triangle
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Trigonometry - Area of a Triangle

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Lesson explores finding area in non-right triangles using formula ½ abSinC. Worked examples and questions on 1. finding the area 2. finding a missing angle given the area 3. finding a missing side given the area. Looks at example of 3. with isosceles triangle. All answers included.