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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
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.
Multiples of Pi
jchowelljchowell

Multiples of Pi

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Solving Problems with multiples of pi. Starter matches formulae for formula involving pi. Explanation that using pi is more accurate than decimals/significant figures. Examples of problem solving involving areas of sectors, volumes and surface areas of cylinders and cones. Worked examples for all ideas. Questions and answers included.
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.
Inequalities - Number Lines
jchowelljchowell

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
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.
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.
Function Machines: Finding rules
jchowelljchowell

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.
Fraction Calculations_Multiply & Divide
jchowelljchowell

Fraction Calculations_Multiply & Divide

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Starter - Multiple Choice [converting between Mixed and Improper, Equivalent Fractions]. 1. Multiplying Fractions. 2. Multiplying Fractions with cancelling 3. Dividing Fractions. 4] Multiplying and dividing with Mixed Numbers. Worked examples and questions for each skill. All answers included.
Fraction Calculations - Four Operations
jchowelljchowell

Fraction Calculations - Four Operations

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Starter: Multiple Choice reviewing improper fractions and mixed numbers and equivalence. All 4 operations explained through worked examples and question slides. Also looks at using Mixed Numbers with all 4 operations. All answers included.
Angle Reasoning - Angles on Straight Lines inc. Opposite Angles
jchowelljchowell

Angle Reasoning - Angles on Straight Lines inc. Opposite Angles

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Lesson explains why angles on a straight line add up to 180 degrees. Worked examples and questions on finding missing angles. Explanation of why opposite angles are equal. Worked examples and questions on finding missing angles giving reasons. Extends with questions using algebra rather than numerical information.