Mathematics

Master set notation, types of sets, union, intersection, and two-set Venn diagrams.

Understand the hierarchy of real numbers, place values up to billions, and prime factorization.

Directed numbers on the number line, addition, subtraction, multiplication, and sign rules.

Place values in base two, conversion between base ten and base two, and binary arithmetic.

Proper, improper, mixed fractions, operations using LCM, BODMAS, and percentage conversions.

Terms, coefficients, collecting like terms, expanding single brackets, and numerical substitution.

Solve first-degree equations, equations with brackets, clearing fractions, and word problems.

Simplifying ratios, dividing quantities in given ratios, direct proportion, and inverse proportion.

Classify angles, complementary, supplementary, vertically opposite, and parallel lines with transversals.

Properties of triangles, quadrilaterals, exterior angle theorem, and polygon interior angle sum formula.

Use ruler and compass to construct perpendicular bisectors, angle bisectors, 60°, 90°, 45°, 30°, and triangles.

Calculate boundary perimeter and flat area of rectangles, squares, triangles, parallelograms, and circles.

Tally charts, frequency distribution tables, vertical/horizontal bar charts, and pie chart sector angles.

Calculate and interpret the Mode, Median, Mean, and Range from raw lists and frequency distribution tables.

The probability scale from 0 to 1, sample spaces, theoretical probability, coins, dice, and cards.