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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
Interpreting Box Plots
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Interpreting Box Plots

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9-1 GCSE lesson looking at Identifying information from a box plot. Using medians, quartiles and interquartile ranges to compare and contrast sets of data
Coordinate Geometry: Translate any Graph
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Coordinate Geometry: Translate any Graph

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9-1 GCSE lesson examining how functions can be translated. Starter on naming graphs. Explanation and worked examples of graph translation. Effects of f(x) + 2 vs f(x+2) explained and explored using function machines. MC questions on translations. Questions focusing on writing functions from translations. All answers included.
Coordinate Geometry: Reflect any Graph
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Coordinate Geometry: Reflect any Graph

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Looks at reflection of functions graphically and algebraically. Explanation of f(-x) vs -f(x) using function machines to explain results. MC questions identifying graphs from reflections and identifying functions after reflections. ALL answers included.
Scattergraphs
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Scattergraphs

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9-1 GCSE lesson reviewing bivariate data, plotting a scattergraph, types of correlation. Examines how to draw a good line of best fit and how to use for predictive purposes.
Coordinate Geometry: Tangents and Circles
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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.
AQA GCSE Higher+ Unit - Sequences
jchowelljchowell

AQA GCSE Higher+ Unit - Sequences

9 Resources
7 lessons exploring 1] Special Number Sequences 2] Using the nth term 3] Geometirc Sequences 4] The pattern in Quadratics 5] Finding the nth term of Quadratics 6] Recurrence Relationships 7] Finding Recurrence Relationships Codebreakers Linear Sequences - next term Quadratic Sequences - next term
AQA GCSE Higher+ Unit: Rounding, Estimation and the Limits of Accuracy
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AQA GCSE Higher+ Unit: Rounding, Estimation and the Limits of Accuracy

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6 Lessons covering Rounding with Significant Figures and Decimal Places. Rounding to a suitable of accuracy. Estimating Calculations using approximations, estimating square roots. Finding Lower and Upper Bounds and hence writing Error Intervals. All lesson include starters, worked examples and full answers. The last lesson is a topic review lesson with additional questions on the topics included.
AQA GCSE Higher+ Unit: Rational & Irrational Numbers
jchowelljchowell

AQA GCSE Higher+ Unit: Rational & Irrational Numbers

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10 lessons covering: Fractions : Adding and Subtracting Fractions: Multiplying and Dividing Fractions: Four Operations Recurring and Terminating Decimals Surds: Introduction Surds: Calculations Surds: Rationalising Surds: Expanding Brackets Surds: Problem Solving Multiples of Pi All lessons include worked examples and question slides. All answers included
AQA GCSE Higher+ Unit - Expressions, Formulae, Functions
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AQA GCSE Higher+ Unit - Expressions, Formulae, Functions

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9 lessons covering 1] Expanding multiple brackets [GRID Method] 2] Expanding multiple brackets [FOIL Method] 3] Factorising double brackets 4] Factorising by Completing the Square 5] Algebraic Proof 6] Writing expressions as Functions 7] Composite Functions 8] Inverse Functions 9] Rearranging Formulae All lessons have worked examples, questions slides and full answers.
Coordinate Geometry: Midpoint and Length
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Coordinate Geometry: Midpoint and Length

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9-1 GCSE lesson exploring finding the midpoint and length of a line segment. Starter: Plotting points and identifying quadrilaterals from the plots. Worked examples finding midpoints 1] graphically and 2] numerically. Questions. Worked examples finding lengths of line segments using Pythagoras, questions. All answers included.
Finding Recurrence Relationships
jchowelljchowell

Finding Recurrence Relationships

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9-1 GCSE lesson exploring how to describe sequences using recurrence relationships. 2 starters: the first looking at general rules of common sequences, the second using worded questions to explore term-to-term and general rules. Worked examples explaining how recursive descriptions follow from term to term rules. Questions. Plenary MC quiz looking at arithmetic and geometric sequences.
AQA GCSE Higher+ Unit: Understanding Products
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AQA GCSE Higher+ Unit: Understanding Products

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9-1 GCSE: 8 lessons covering 1]Basic Index Laws, 2]Negative & Fractional Powers, 3] Prime Factors, 4] Standard From, 5] Multiplying & Dividing with SF 6] Adding & Subtracting with SF 7] Factorials 8] Unit Preview and Review covering objectives, baseline learning, quick question & exam style questions. All Answers included.
AQA GCSE Higher+ Unit: Linear Graphs
jchowelljchowell

AQA GCSE Higher+ Unit: Linear Graphs

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Five lessons covering Gradients & Intercepts, Equations of Parallel Lines, Equations of Perpendicular Lines, Solving Simultaneous Equations graphically and a Preview/Review lesson covering the topic objectives, prior learning and exam-style questions.
AQA GCSE Higher+ Unit: Mensuration
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AQA GCSE Higher+ Unit: Mensuration

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7 lessons covering topics: 1. Circles: area, circumference review, sectors, arcs. 2. Prisms: volume and surface area. 3. Pyramids: volume and surface area 4. Cones & Spheres: volume and surface area 5. Frustums: volume 6. Similar Shapes: missing lengths 7. Similar Shapes/Solids: area and volume
Coordinate Geometry: Pythagoras, Trigonometry and Coordinates
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Coordinate Geometry: Pythagoras, Trigonometry and Coordinates

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9-1 GCSE lesson applying Pythagoras and trigonometry to shapes on Cartesian grids. Starter reviews identifying which trig ratio to use. Worked examples of finding lengths and angles from shapes plotted through coordinates. Questions and worked answers. Plenary looking at where a point can be i you know how far it is from an identified coordinate.
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.