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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
AQA GCSE Higher+ Unit: Mensuration
jchowelljchowell

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
Algebraic Fractions - Simplifying
jchowelljchowell

Algebraic Fractions - Simplifying

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Starter looks at separate skills of simplifying numerical fractions and factorising algebraic expressions. Looks first at algebraic fractions which don’t need factorising, worked examples, questions. Then extends to look at fractions requiring factorising (including difference of two squares). Questions on all skills. All answers provided.
Similar Shapes - Area and Volume
jchowelljchowell

Similar Shapes - Area and Volume

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Using similarity to find areas of 2D shapes and volumes of 3D solids. Starter explores multiplicative relationships. Worked examples and table looking at 2D shapes to find relationship between side scale factor and area scale factor. Similar format extending to volume. Questions on all skills included. All answers included.
Similar Triangles - Missing Sides
jchowelljchowell

Similar Triangles - Missing Sides

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Starter looks at multiplicative relationships to use for calculating Scale factors. Similarity of shapes explained. Worked examples of finding missing lengths in triangles and quadrilaterals given. Questions reinforcing learning. All answers included.
Frustums- Volume
jchowelljchowell

Frustums- Volume

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Starter looks at using the formulae for volume and surface areas for 3D shapes. Explanation of frustum as shape created when top removed from cone or pyramid. Examples of finding volume of a frustum with lengths of whole cone/pyramid included. Extends by looking at using similarity to find volume when given only frustum. Worked examples and questions for all skills. All answers included.
Pyramids - Volume and Surface Area
jchowelljchowell

Pyramids - Volume and Surface Area

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Lesson looking at pyramids. Starter explores nets of a square-based pyramid. Worked examples on Volume, followed by questions. Worked examples of Surface Area followed by questions. All answers included.
Cones & Spheres: Volume and Surface Area
jchowelljchowell

Cones & Spheres: Volume and Surface Area

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Explanation of a cone as a type of pyramid and derives formulae from those of pyramids. Worked examples and questions. Formulae for spheres, worked examples and questions. Lesson also extends to look at hemispheres and compound shapes and use of π in answers. All answers included.
Prisms: Volume and Surface Areas
jchowelljchowell

Prisms: Volume and Surface Areas

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Starter reviewing areas of 2D shapes. Examples of volume calculations looking at areas of cross-sections leading to volume. Surface area found by through finding areas of each face. Worked examples and questions on all ideas. All answers included.
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.
Recurrence Relations
jchowelljchowell

Recurrence Relations

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Examining the language and use of recurrence relationships. Looks at linear then geometric sequences. Worked examples, questions and match-up activities follow. Then extends to include relations with more then one operation or more than one term leading to Fibonnaci-style sequences and Square Numbers. All answers included.
Exponential Functions - Graphs
jchowelljchowell

Exponential Functions - Graphs

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Explores connection between exponential graphs and geometric series in the starter. The shape of exponential functions is explored and the common features. Plotting these graphs is demonstrated. Questions based on two coordinates are explained. Questions and answers included.
Quadratic Sequences- Nth term
jchowelljchowell

Quadratic Sequences- Nth term

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Using differences and second differences to find the general rule for quadratic sequences. Lots of examples with n^2 , 2n^2, 3n^2 etc. Worked examples and questions on all skills. All answers included.
The Pattern in Quadratic Sequences
jchowelljchowell

The Pattern in Quadratic Sequences

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Using the Term-to-Term Rule to generate quadratic sequences. Exploring differences and second differences to investigate the similarities between sequences. Worked examples of all skills. All answers included.
Geometric Sequences
jchowelljchowell

Geometric Sequences

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Lesson looks at the differences between arithmetic and geometric sequences through the them to term rule. Explains using a term to term rule to find the next terms. The General Rule is then explored. How to find terms from the General Rule is explained. All ideas also have question slides and all answers are included.
AQA GCSE Higher+ Unit: Non-Linear Graphs
jchowelljchowell

AQA GCSE Higher+ Unit: Non-Linear Graphs

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8 lessons covering the Non-Linear graphs topic: 1. Recognising Graphs 2. Quadratic Graphs 3. Quadratics - finding properties graphically 4. Quadratics - finding properties algebraically 5. Solving Non-Linear Equations Graphically 6. Solving Non-Linear Simultaneous Equations Graphically 7. The Equation of a Circle. 8. Exponential Graphs All lesson include starters, worked examples, question slides. Full answers included.
Using the nth term - Linear Sequences
jchowelljchowell

Using the nth term - Linear Sequences

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Starter asks pupils to describe number patterns from pictures. Then examining the properties of Linear Sequences from term-to-term rules, pictures, straight line graphs. Examples of how the general rule is used: finding terms, finding positions of terms, seeing if a number belongs in a sequence, finding common terms in two sequences. Worked examples and question slides on each topic. All answers included.
Equation of A Circle
jchowelljchowell

Equation of A Circle

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Starter using Pythagoras to find diagonals of quadrilaterals. Use of Pythagoras to explain equation of a circle based on the origin. Extends to look at circles not centred on the origin. Plenary looks at an example of simultaneous equations with a circle. Worked examples and question slides. All answers included.
Non-Linear Simultaneous Equations: Graph
jchowelljchowell

Non-Linear Simultaneous Equations: Graph

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Multiple Choice starter identifying linear and quadratic functions. Reminder of solving linear simultaneous equations graphically. Follows similar process to solve quadratic and linear simultaneous equations. Also looks at styles of questions and manipulations of equations to find which graphs to plot.
Quadratics -  Properties Algebraically
jchowelljchowell

Quadratics - Properties Algebraically

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Explores the properties of Quadratic Curves using an algebraic approach. Looks at roots, turning points, intercept and the line of symmetry around the turning point. Questions on factorising to find roots, finding the line of symmetry and the turning point through substitution. Worked examples and questions on all skills. All answers included.
Quadratics-Find Properties Graphically
jchowelljchowell

Quadratics-Find Properties Graphically

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Explores the properties of Quadratic Curves using a graphical approach. Looks at roots, turning points, intercept and the line of symmetry around the turning point. Starter looks at identifying quadratics, Multiple Choice questions on the properties. Moves on to questions asking pupils to plot a curve and then find the properties. Worked examples and all answers included.