Grades 7–9

The coordinate system, signed numbers, powers and roots, algebraic expressions, the distributive law, linear equations and word problems.

Angles: naming, measuring, the angle bisector, adjacent and vertical angles; the angles of a triangle and a quadrilateral; congruent shapes and transformations; perimeter and area; the cube and the box.

Collecting information and reading tables and charts critically, grouped data and two-way tables, relative frequency in percent and the pie chart, comparing groups; probability from relative frequency, from 0 to 1, and the expected count.

Functions as a graph, a table and a formula, increasing and decreasing, the linear function and its slope, special equations, word problems, systems of equations and inequalities.

Ratios of three quantities, proportions, directly proportional quantities, scale, percent change, the amount before a change, and changes one after another.

Angles between parallel lines, the exterior angle of a triangle, Pythagoras’ theorem, transformations and congruent shapes, the congruence theorems, the triangle inequality, the median, the isosceles triangle and similar triangles.

The circumference of a circle and the area of a disc, the cylinder and the cone – nets, surface area and volume – and Pythagoras’ theorem in space.

Collecting data, frequency and relative frequency, charts, the range, the mean, the median and the mode, comparing two sources, interpolation and extrapolation, and probability.

The laws of powers and roots, the extended distributive law and the short multiplication formulas, factoring, algebraic fractions, functions, the quadratic function, quadratic equations and inequalities, systems of equations and word problems.

The isosceles triangle and converse theorems, sides and angles in a triangle, the 30°-60°-90° triangle, parallel lines, the kite and the trapezoid, the parallelogram, rectangle, rhombus and square, the median to the hypotenuse and the areas of similar triangles.

Experiments, outcomes and events, calculating a probability and the complement, probability and relative frequency, two-stage experiments: the outcome table, the tree diagram, drawing with and without putting back, and the area model.