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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
Algebraic Proof
jchowelljchowell

Algebraic Proof

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Lesson covering algebraic definitions of consecutive, odd and even numbers. Proofs looked at 1] Prove that an expression is a multiple 2] Prove that two expressions are equal 3] Proofs involving properties of odd/even numbers. All skills are introduced through worked examples and have question slides. All answers included.
Analysing Histograms
jchowelljchowell

Analysing Histograms

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9-1 GCSE lesson examining finding information from a histogram. Worked examples on: 1] Finding frequencies when Frequency Density is given 2] Finding frequencies when Frequency of 1 group is given. 3] Finding %s above or below a given measure. Questions on all topics. Worksheet duplicates Question slide on ppt. ALL answers included.
Coordinate Geometry: Equation of a line_two coordinates
jchowelljchowell

Coordinate Geometry: Equation of a line_two coordinates

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9-1 GCSE lesson finding the gradient and then equation of a line from two coordinates. Starter looks at finding if a coordinate is on,above or below a given line. Worked examples on finding a gradient, questions, Worked examples on substituting a gradient into y=mx+c to find the intercept, questions. All answers included.
Cumulative Frequency and Box Plots
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Cumulative Frequency and Box Plots

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Drawing a CUmulative Frequency Graph. Finding LQ, Median, UQ and using this information to draw a Box Plot. Definitions all terms. Worked examples and question slides. ALL answers included.
Bearings
jchowelljchowell

Bearings

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Looking at definitions , measuring, calculating and drawing bearings. Worked examples and question slides. All answers included
Congruence
jchowelljchowell

Congruence

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Looking at how we define congruence and how it can be proved. Worked explanations and examples with and without numerical angles. Question slides and all answers included.
Problem solving with Upper & Lower Bounds
jchowelljchowell

Problem solving with Upper & Lower Bounds

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Lesson reviews how to find Bounds. Examines calculations and highlights that multiplication can produce error intervals greater than the bounds. Worked examples of Bounds problems including area, volume and compound measures. Question slides, fully worked answers. MC plenary on how to find a Bound.
Expanding Brackets - FOIL method
jchowelljchowell

Expanding Brackets - FOIL method

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GCSE Higher Lesson. Understand how to multiply two or three brackets together using the FOIL 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.
Scale Drawings
jchowelljchowell

Scale Drawings

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GCSE Higher Lesson. Complete and interpret scale drawings.Starter on unitary ratios. Worked examples on converting between plans and real life and vice-versa. Question slides. Worksheet reviewing lesson. All answers included.
Factorials
jchowelljchowell

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!.
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.
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.
Surds - Rationalising
jchowelljchowell

Surds - Rationalising

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Lesson explores rationalising involving single expression denominators, denominators with the surd multiplied by a coefficient and the use of a conjugate where the denominator expression requires the difference of two squares method to remove the square root. All skills are demonstrated by worked examples and differentiated question slides are included. Exam style questions included. All answers included.
Simultaneous Equations -  Elimination
jchowelljchowell

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
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