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Picturing Mathematics starters

The starters are free of cost and intended to be displayed for GCSE students to work on at the start of the lesson. Included within the answer files are teachers' notes which indicate which mathematical topics the starter connects to, and additional questions which could be asked.

Please use the links below to find a suitable starter document:

Mathematical Reasoning
All the starters need some mathematical reasoning. The ones in this section emphasise proof and associated reasoning.	ProvingPythagoras question ProvingPythagoras answer Cake question Cake answer
Number
Factors, multiples, primes	HowManyCards Question HowManyCards Answer
Powers, roots, standard form	Bacteria Question Bacteria Answer
Fractions, decimals, percentages	VAT Question VAT Answer
Proportional reasoning	Penny Question Penny Answer VAT Question VAT Answer
Working with a calculator	PointsOnGraph Question PointsOnGraph Answer
Non-calculator methods	SquareDiff Question SquareDiff Answer
Rounding and estimating	Penny Question Penny Answer
Algebra
Graphs - Straight line graphs	StraightLine Question StraightLine Answer
Graphs - Quadratic graphs	PointsOnGraph Question PointsOnGraph Answer Graphs Question Graphs Answer
Graphs - General graphs	Bacteria Question Bacteria Answer
Graphs - Transforming graphs	Graphs Question Graphs Answer
Equations - Linear equations	Scales Question Scales Answer
Equations - Quadratic equations
Equations - Simultaneous equations	FourPortions Question FourPortions Answer
Algebraic expressions and formulae - Factorising, multiplying out and simplifying	SquareDiff Question SquareDiff Answer
Algebraic expressions and formulae - Forumulae	Mosaic Tiling Question Mosiac Tiling Answer
Inequalities
Geometry and Measures
Scale drawing	BigBen Question BigBen Answer
Measurements	BigBen Question BigBen Answer
Speed and other compound measures
Area and volume	HowManyCards Question HowManyCards Answer Cake Question Cake Answer
Circumference and area of a circle	BigBen Question BigBen Answer
Trigonometry and Pythagoras's theorem	ProvingPythagoras Question ProvingPythagoras Answer
Symmetry, congruence, similarity	ScatterRectangle Question ScatterRectangle Answer
Transformations
Vectors	StraightLine Question StraightLine Answer
Properties of shapes - Angles in shapes	Triangles Question Triangles Answer
Properties of shaped - 3D shapes	BuildIt Question BuildIt Answer
Statistics and Probability
Probability	ScratchCard Question ScratchCard Answer
Statistical diagrams	Gas Question Gas Answer
Statistical measures	Gas Question Gas Answer
Scatter diagrams	ScatterRectangle Question ScatterRectangle Answer
Statistical problem solving	Gas Question Gas Answer