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Fractions of Amounts Sangwin and Pointon
A worksheet to consolidate finding fraction of amounts. The worksheet was designed using Pointon and Sangwin taxonomy to help develop mathematical thinking among students.
Calculating the length of line segments
A worksheet focused on calculating the length of line segments using pythagoras.
Interleaving topics include:
Equations of linear graphs,
Substitution
Circumference of circles
Areas of triangles
Midpoints
Ratio
Areas of Circles Pointon and Sangwin
A worksheet to consolidate finding the areas of circles. The worksheet was designed using Pointon and Sangwin taxonomy to help develop mathematical thinking among students.
Factors Pointon and Sangwin
A worksheet to consolidate factors. The worksheet was designed using Pointon and Sangwin taxonomy to help develop mathematical thinking among students.
Exact Trigonometry
A worksheet focused on exact trigonometry applied to different types of trigonometry problems.
Interleaving topics include:
Trigonometry of right angled triangles
Areas of triangles using sine.
Areas of segments.
Sine Rule.
Cosine Rule.
Trigonometric identities.
Direct Proportion Pointon and Sangwin
A worksheet to consolidate direct proportion. The worksheet was designed using Pointon and Sangwin taxonomy to help develop mathematical thinking among students.
Multiple Event Probability
A set of questions on calculating multiple event probability, including unconditional and conditional problems.
Standard Form Division Pointon and Sangwin
A worksheet on standard form calculations involving division. The worksheet was designed using Pointon and Sangwin taxonomy.
Invariant Points Task
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.
Enlargements Pointon and Sangwin
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.
Relative Frequencies and Expected Outcomes
A set of questions for calculating relative frequencies and expected outcomes.
Invariant Points AFL
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
A worksheet for solving multi-step Pythagoras problems.
Interleaving topics include:
Perimeter of Shapes
Area of Shapes
Similar Shapes
Properties of polygons
Pythagoras theorem finding shorter sides
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
Single Event Probabilities
A worksheet on finding the probabilities of single events.
Interleaving topics include:
Factors, Multiples, Primes, Squares
Probability Tables
Ratio
Proportion problems
Working backwards from a probability
Standard Form A&S Pointon and Sangwin
A worksheet to consolidate adding and subtracting numbers in standard form. The worksheet was created using Pointon and Sangwin taxonomy
Pythagoras Theorem Finding the hypotenuse
A varied worksheet on calculating the hypotenuse of right angles triangles. A lot on interleaved topics also included into the question set. Including:
Areas of shapes
Similar Shapes
Areas of circles
Rearranging equations (For Q12)
Rounding
Exact Form
Geometric Notation
Sharing with ratio problems MCQs
A few multiple choice questions to test the use of bar models to represent ratio problems that involve some sense of sharing.
Constructing Loci
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
Constructing Bisectors and Perpendicular Lines
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.