Math concepts

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Counting & number sense

Count, compare and group objects with confidence.

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Place value

Ones, tens and hundreds: where a digit's value comes from.

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Addition & subtraction

Move along the number line to add and take away.

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Multiplication

Rows and columns: see multiplication as a grid.

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Division & sharing

Share fairly: division as giving everyone the same.

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Fractions

Equal parts of a whole: the pizza, the chocolate bar.

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Negative numbers

Above and below zero: the elevator and the thermometer.

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Percentages & decimals

Discounts and prices: a percent is a fraction of 100.

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Decimals

Add, subtract and compare decimals.

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Rounding

Round to the nearest ten or hundred.

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Perimeter & area

Fence the garden: measure the border and the surface.

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Coordinates

Find the treasure: points on a map grid.

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Powers & roots

Powers, square roots and scientific notation.

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Sequences & patterns

Find the rule and continue the sequence.

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Angles

Measure, compare and add angles.

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Volumes

Fill solid shapes and compute their volume.

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Symmetry

Find axes of symmetry in shapes.

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Transformations

Translate, rotate and reflect shapes.

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Algebraic expressions

Simplify and expand expressions.

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Linear equations

Keep the balance and solve for x.

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Proportions

Scale recipes and compare ratios.

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Pythagoras theorem

Find the missing side of a right triangle.

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Thales theorem

Use parallel lines to find lengths.

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Statistics

Mean, median, mode and range.

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Probability

Predict the chances of an event.

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Ratios

Share an amount in a given ratio.

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Functions

A function is a machine: one input, one output.

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Linear & affine functions

Slopes, intercepts and graphs.

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Inequalities

Solve and read interval solutions.

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Systems of equations

Find the point where two lines meet.

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Reverse percentages

Find the original price after a discount.

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Quadratic functions

Parabolas, roots and the vertex.

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Trigonometry

Sine, cosine and tangent on the unit circle.

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Vectors

Coordinates, sums and lengths of vectors.

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Advanced statistics

Quartiles and spread of a data set.

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Advanced sequences

Find the nth term of a sequence.

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Exponential growth

Powers that grow fast: 2, 4, 8, 16…

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Compound probability

Two events in a row.

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Composite functions

Feed one function into another.

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Derivatives

The slope of a curve at a point.

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Logarithms

Undo powers with logarithms.

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Vector dot product

Multiply two vectors to get a number.

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Derivative applications

Use derivatives to find slopes and extrema.

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