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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
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 - Expanding Brackets
jchowelljchowell

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.
Ratio - Ratios and Fractions
jchowelljchowell

Ratio - Ratios and Fractions

(1)
Lesson explaining the links between ratios and fractions. Looks at unsimplified and simplified ratios with 2 and 3 parts. Worked Examples, Questions on ech idea. Also looks at solving worded questions without diagrams. All answers included.
Ratio - Combining Ratios
jchowelljchowell

Ratio - Combining Ratios

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“If a:b = 3:4 and b:c = 5:6, find the ratio a : b : c”. Lesson examining both algebraic and worded examples of combining ratios. Full explanation of use of LCM and equivalent ratios. Fully worked examples. Questions of both types. All answers included.
Find CF and HCF of Algebraic Expressions
jchowelljchowell

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.
Solving Equations Graphically
jchowelljchowell

Solving Equations Graphically

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Lesson explores solving non-linear equations graphically. Examples look at adding horizontal lines [y=4 etc] and then sloping lines [y=x+2] to solve different problems.
Recognising Graphs
jchowelljchowell

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.
Circles: Mensuration Review
jchowelljchowell

Circles: Mensuration Review

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Lesson reviewing lengths and areas involving circles. Starter involves naming parts of a circle. Examples and Questions cover circumferences using diameter or radius, area, lengths of arcs, areas of sectors. All topics have worked examples and questions. All answers included.
Algebraic fractions: Multiply/Divide
jchowelljchowell

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.
Stratified Sampling
jchowelljchowell

Stratified Sampling

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A complete lesson on ‘Stratified Sampling’ that is suitable for GCSE. The lesson is written for the new GCSE specification. Starter on calculating angles for pie charts reintroducing idea of groups being proportions of the whole. Reminder on different types of Sampling and advantages/disadvantages of each. Stratified sampling explained and pupils asked to find the ‘sample proportion’ for data. Explains how to find frequencies of the sample. Questions on each idea. All answers included.
Types of Data
jchowelljchowell

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.
Proportion - Recipes
jchowelljchowell

Proportion - Recipes

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Whole lesson covering using proportion to change quantities of ingredients for different servings. Worked examples Questions Extension questions. All answers included
Proportions and Fractions
jchowelljchowell

Proportions and Fractions

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Understand and write proportions as fractions and as algebraic relationships. Compare ratios and fractions. Express one variable in terms of another when represented as a ratio.
Codebreaker: Percentage Increase and Decrease
jchowelljchowell

Codebreaker: Percentage Increase and Decrease

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Two different sets of questions using the same keycode. Worksheets prepared with and without keycode to allow for use in classroom or for homework. Includes; a) PPT with keycode and all answers b) Worksheets with Tasks and keycode Just tasks to use with PPT keycode
Differentiated Codebreaker: Squares and Cubes
jchowelljchowell

Differentiated Codebreaker: Squares and Cubes

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Differentiated Codebreaker Two different sets of questions using the same keycode. Worksheets prepared with and without keycode to allow for use in classroom or for homework. Includes; a) PPT with keycode and all answers b) Worksheets with Tasks and keycode Just tasks to use with PPT keycode
Codebreaker: Rounding to the Nearest 10
jchowelljchowell

Codebreaker: Rounding to the Nearest 10

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Two different sets of questions using the same keycode. Worksheets prepared with and without keycode to allow for use in classroom or for homework. Includes; a) PPT with keycode and all answers b) Worksheets with Tasks and keycode Just tasks to use with PPT keycode
Coordinate Geometry: Tangents and Circles
jchowelljchowell

Coordinate Geometry: Tangents and Circles

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9-1 GCSE lesson explaining how to find the equation of a tangent to a circle at a given point. Activities include writing equations of circles from centres and radii, finding perpendicular gradients. Worked examples finding the gradient a a radius, the gradient of the perpendicular line and substituting into y=mx+c to find the equation of the tangent. Full worked examples, question slides and full worked answers.
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
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Bearings

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