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Invariant Points AFL
dmiddleton25dmiddleton25

Invariant Points AFL

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A handful of AFL questions for teaching invariant points. A goo follow up question for some of the slides, “give me the coordinates of a point that some students might think is an invariant point but actually isn’t”.
Multi-step Pythagoras
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Multi-step Pythagoras

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A worksheet for solving multi-step Pythagoras problems. Interleaving topics include: Perimeter of Shapes Area of Shapes Similar Shapes Properties of polygons
Constructing Bisectors and Perpendicular Lines
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Constructing Bisectors and Perpendicular Lines

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A varied worksheet on constructing line and angle bisectors, and perpendicular lines that pass through a given point. In addition there are some questions requiring students to construct some angles using a pair of compasses.
Constructing Loci
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Constructing Loci

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A worksheet on constructing loci. Including… Loci from a point Loci from a line Loci from a shape Loci equidistant from 2 points Loci equidistant from 2 lines Loci less than or more than from the above loci Mixtures of Loci Loci consisting of 2 points Loci inside a shape Loci from a scale Areas of Loci
Enlargements Pointon and Sangwin
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Enlargements Pointon and Sangwin

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A worksheet designed using Pointon and Sangwin taxonomy. The worksheet focuses on enlarging shapes using positive, fractional and negative scale factors. Students will also need to describe these transformations. Reflections, rotations and translations are used as a recap and invariant points are touched on.
Invariant Points Task
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Invariant Points Task

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Students need to fill in the table with examples of transformations that will leave a shape with 0, 1 and infinite invariant points. Students are asked to sketch the examples into the table and add descriptions where neccessary.
Pythagoras theorem finding shorter sides
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Pythagoras theorem finding shorter sides

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A worksheet focused on calculating shorter sides of right angled triangles using Pythagoras’ theorem. Interleaving topics include: Areas of shapes (triangles, trapeziums, octogons/compound shapes) Volumes of cones Ratio Perimeter Fractions Decimals
Quadratic Sequences Card Sort
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Quadratic Sequences Card Sort

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A card sort for consolidating finding the nth term of a quadratic sequence. Students are to order the cards forming a set of workings leading to the nth term of the sequence. Once checked, students complete the 2 additional quadratic sequences in their books. Note: The print outs show the ordered card sort.
HCF and LCM Pointon and Sangwin
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HCF and LCM Pointon and Sangwin

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A worksheet to consolidate finding the HCF and LCM of a number using prime factorisation and Venn Diagrams. The worksheet was designed using Pointon and Sangwin taxonomy to help develop mathematical thinking among students.
Linear Sequences Topic Consolidation
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Linear Sequences Topic Consolidation

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A worksheet to consolidate linear sequences. Students will find the need to apply the following skills to this worksheet: Continuing Linear Sequences Generate Linear Sequences Find the Nth Term of Linear Sequences Test whether a term is in the sequence and Find the numbered term Answers attached.