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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
Identities, Equations and Inequalites
jchowelljchowell

Identities, Equations and Inequalites

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Lesson looking at the definitions of algebraic words [term, expression, inequality, equation, identity]. Multiple choice quiz. Work on difference between equation and identity and then question slide. Extends to look at how identities can require expanding brakcets and simplifying to show that two sides are equal.
Solving Quadratics by Factorising
jchowelljchowell

Solving Quadratics by Factorising

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Lesson reviews how to factorise a quadratic into brackets and then looks at how to use this skill to solve equations. Full worked examples and Question slides. All answers provided.
Solving Quadratics-The Quadratic Formula
jchowelljchowell

Solving Quadratics-The Quadratic Formula

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Lesson explaining the use of the quadratic formula. Explanation of how to find a,b,c.Step by step worked examples and explanations. Question slides with fully worked answers. Plenary looks at rearranging into appropriate form. ALL answers included.
Plotting Inequalities - Sloping Lines
jchowelljchowell

Plotting Inequalities - Sloping Lines

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Starter reviews single inequalities (naming and drawing) and listing integers. Explains how to draw multiple inequalities including sloping lines. Reviews how to draw a straight line. Questions on all skills. All answers included.
Recognising Multiple Inequalities
jchowelljchowell

Recognising Multiple Inequalities

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Lesson starter includes recognising inequalities with vertical and horizontal lines, plotting inequalities. Lesson explores inequalities including sloping lines first with two inequalities and then with three. Worked examples and questions on each skill. All answers included.
Graphing Inequalities-multiple variables (horizontal and vertical)
jchowelljchowell

Graphing Inequalities-multiple variables (horizontal and vertical)

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Lesson explores how we graph up to 4 inequalities on a single graph. Starter looks at single variable inequalities. Lesson concentrates on expressions such as -3<x<3 and -2<y<4 before combining them to name and then draw rectangular regions. Questions on each skill [naming and drawing]. All answers provided.
Graphing Inequalities- Single Inequality
jchowelljchowell

Graphing Inequalities- Single Inequality

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Reviews naming straight line graphs. Explores naming regions through examining coordinates. Explains how to differentiate between “less than” and “less than or equal to” using a dashed line. Worked examples and questions on horizontal and vertical lines. Then looks at diagonal lines such as y=x or y=2x+1 wiht worked questions and examples. Differentiated question slide on drawing inequalities (reproduced as word document). All answers included.
Simultaneous Equations - Substitution
jchowelljchowell

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.
Linear Equations - Review Lesson
jchowelljchowell

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
jchowelljchowell

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
jchowelljchowell

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
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
jchowelljchowell

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
jchowelljchowell

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
jchowelljchowell

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
jchowelljchowell

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
jchowelljchowell

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
jchowelljchowell

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.