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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
Surds - Expanding Brackets
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Surds - Expanding Brackets

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Lesson exploring expanding single brackets involving surds. Then looks at expanding two brackets, including a single bracket squared. All explanations include worked examples and all question slides include answers.
Simultaneous Equations - Non-Linear
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Simultaneous Equations - Non-Linear

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Exploring solving Simultaneous Equations where one equation is non-linear [quadratic]. Examples include factorising the quadratic, solving the quadratic with the formula, making the equations eqaul to each other rather than substituting. Full worked examples of all skills. Question slide broken into skills. All answers included.
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.
Simultaneous Equations - Substitution
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Simultaneous Equations - Substitution

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Explores using substitution to solve simultaneous equations when at least one coefficient is 1 when none of the coefficients is 1. Starter looks at rearranging Worked examples and questions on all ideas. All answers included.
Inequalities - Number Lines
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Inequalities - Number Lines

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Drawing and describing inequalities using number lines. Examples of single and multiple inequalities are explored. Questions include both naming and drawing inequalities. All answers included.
Linear Equations - Review Lesson
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Linear Equations - Review Lesson

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Using the balance method to solve 1. One-step equations 2. Two-step equations 3. Equations with Brackets 4. Equations with unknowns on both sides 5. Equations with unknowns on both sides where both sides are fractions Negative and non-integer examples. Worked examples of all skills. Questions on all skills. All answers provided.
Ratio - Finding a Quantity from a Ratio Comparison
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Ratio - Finding a Quantity from a Ratio Comparison

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"If the ratio of boys to girls in a class is 3:5 and there are 8 more girls, how many pupils are in the class?" Lesson explaining the concept in different ways [bar-model approach and words]. Fully worked examples. Questions on each style of response. All answers included.
Angle Reasoning - Naming Lines and Angles
jchowelljchowell

Angle Reasoning - Naming Lines and Angles

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Lesson looking at conventions of naming straight lines and angles. Starter examines pupils understanding of types of angles. Fully worked examples and questions to consolidate and demonstrate understanding.
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
Proportion Package
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Proportion Package

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10 Resources on Proportion: 7 Lessons (Worked examples, Questions, All answers provided) What is Proportion? Ratio and Proportion Unitary Method Best Buys Recipes Identifying Direct Proportion Proportion - Real Life Examples Other Resources Puzzles (Extended/Problem Solving) Proportion - Knowledge Organiser Infinite Questions Proportion Excel Worksheet
Single Brackets: Expanding
jchowelljchowell

Single Brackets: Expanding

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Lesson reviews expressions through multiple choice questions. Explains the grid method for multiplication, first with numbers and then using algebra. Uses the idea of the grid method to expand single brackets using FL method [First Last]. Expanding Brackets Bingo. All ideas have worked examples, questions and all answers included.
Expressions: Formulae and Equations
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Expressions: Formulae and Equations

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Lesson explores how to move from writing expressions in words to using letters and how this move helps to write formulae and equations. How to write simple expressions using letters. How to simplify expressions using letters. How to write two step problems and the importance of units being consistent [£ and p]. Full worked examples, questions and all answers included.
Angle Reasoning: Angles in Regular Polygons
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Angle Reasoning: Angles in Regular Polygons

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Lesson looks first at the difference between regular and irregular polygons. The angle sum for polygons is then explored. Explanation of how to find the interior angle of a regular polygon, worked examples and questions. Then how to find the exterior angles of regular polygons. Worked examples and questions. All answers included.
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.
Function Machines - Finding outputs
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Function Machines - Finding outputs

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Lesson explains how an input-output machine creates outputs from inputs. Different representations are presented and explained. One-step, two-step and three-step machines are explored. Worked examples and questions on all ideas. All answers included.
Function Machines: Finding Inputs
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Function Machines: Finding Inputs

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Lesson exploring how to find the inputs for a function machine given the outputs. Explores the different representations of input-output machines. Explains the idea of inverse operations and how to use these to reverse a function machine. Worked examples and questions on one-step, two-step and three-step machines. All answers included.
Function Machines: Finding rules
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Function Machines: Finding rules

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Lesson explores definitions and representations of input-output machines. Explores why multiple inputs and outputs are needed to find the rule being used by a machine. Exploration of how to find which rule is being used by exploring the effects of multiplying or dividing consecutive inputs. Worked examples and questions. All answers included.
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.