Understand and use the
structure of mathematical
proof, proceeding from
through a series of logical
steps to a conclusion; use
methods of proof,
including: proof by deduction, exhaustion and counter example.
Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.
Mix and Math Determine the nature of adding, subtracting and multiplying numbers with specific properties. Area Maze Use your knowledge of rectangle areas to calculate the missing measurement of these composite diagrams. Numbasics A daily workout strengthening your ability to do the basic mathematical operations efficiently. Identity, Equation or Formula? Arrange the given statements in groups to show whether they are identities, equations or formulae. Vectors An online exercise on addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic representations of vectors. What Are They? An online exercise about sums, products, differences, ratios, square and prime numbers. Congruent Triangles Test your understanding of the criteria for congruence of triangles with this self-marking quiz. Angles Mixed Find the unknown angles by using the basic angle theorems. Proof of Circle Theorems Arrange the stages of the proofs for the standard circle theorems in the correct order. Satisfaction This is quite a challenging number grouping puzzle requiring a knowledge of prime, square and triangular numbers. Simultaneous Solutions Arrange the given pairs of simultaneous equations in groups to show whether they have no solution, one solution or infinite solutions.
Here are some exam-style questions on this statement:
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Here is an Advanced Starter on this statement:
Click on a topic below for suggested lesson Starters, resources and activities from Transum.
"Here is a Starter for a lesson on proof:
Write down as many reasons you can think of that prove zero is an even number.
[Subscribers can find some of the ways that zero can be shown to be an even number here.] "