Grade 8 Mathematics

Whole numbers

1 lessons

🧠 Whole numbers: properties and smart calculation Whole numbers are 0 and the positive counting numbers. CAPS Grade 8 revises how number properties, factors, multiples, estimation and inverse operations help us calculate efficiently and check whether an answer is sensible. Start lesson →

Integers

1 lessons

🧠 Integers: understand numbers below zero Integers include positive whole numbers, 0 and negative whole numbers. CAPS Grade 8 develops all four operations with integers, so the number line should connect to addition, subtraction, multiplication, division and inverse operations rather than becoming a list of sign rules. Start lesson →

Exponents

1 lessons

🧠 Exponents: powers as repeated multiplication An exponent is a compact way to show repeated multiplication of the same base. In CAPS Grade 8 the focus includes squares and cubes and their roots, natural-number exponent laws, the zero exponent, and scientific notation with positive powers of 10. Start lesson →

Numeric and geometric patterns

1 lessons

🧩 Numeric and geometric patterns: find the rule A pattern is a sequence or arrangement built by a rule. In Grade 8 CAPS you extend numeric and geometric patterns, describe how terms change, connect a term to its position, and express general rules in words, tables or algebraic language. Patterns are not limited to a constant difference or a constant ratio. Start lesson →

Functions and relationships

2 lessons

🔗 Functions and relationships: input, output and rules A relationship connects input values to output values according to a rule. Grade 8 CAPS uses flow diagrams, tables, formulae and equations to determine missing inputs, outputs or rules and to recognise equivalent descriptions of the same relationship. Start lesson → 🔗 Functions and relationships: formulae and equivalent forms Grade 8 returns to functions in Term 4 with a stronger focus on using formulae to find outputs and recognising equivalent forms of the same relationship. A verbal rule, flow diagram, table, formula and equation can all describe the same input-output relationship. Start lesson →

Algebraic expressions 1

1 lessons

✳️ Algebraic expressions 1: read the language of algebra An algebraic expression uses numbers, variables and operations to represent a quantity. Grade 8 introduces conventions for writing expressions, identifies variables, constants, coefficients and exponents, and simplifies expressions by combining like terms and using number properties. Start lesson →

Algebraic equations 1

1 lessons

⚖️ Algebraic equations 1: keep both sides balanced An equation says that two expressions have the same value. In Grade 8 the language moves from number sentences to equations. You solve by inspection and by using inverse operations, including simple equations with integers and numbers in exponential form. Start lesson →

Algebraic expressions 2

1 lessons

🧮 Algebraic expressions 2: expand, simplify and substitute Grade 8 Term 2 develops algebraic expressions further. You use the commutative, associative and distributive laws, together with exponent laws, to expand and simplify expressions, divide terms by monomials, and evaluate expressions by substitution. Start lesson →

Algebraic equations 2

1 lessons

⚖️ Algebraic equations 2: solve in more than one step Grade 8 Term 2 revisits equations and extends solving by using additive and multiplicative inverses and laws of exponents. The goal is to isolate the unknown while preserving equality and to interpret equations that describe situations. Start lesson →

Construction of geometric figures

1 lessons

📐 Construction of geometric figures: accuracy with ruler and compass Geometric construction means creating exact lines, angles and figures from stated conditions. Grade 8 develops constructions such as perpendicular and parallel lines, angle bisectors, perpendicular bisectors and triangles, using geometric properties rather than visual guessing. Start lesson →

Geometry of 2D shapes

1 lessons

🔷 Geometry of 2D shapes: properties that let us reason Grade 8 geometry uses definitions and properties of triangles and quadrilaterals to classify shapes and solve problems. Important relationships include triangle angle sums, equal sides and angles in special triangles, and the hierarchy of quadrilaterals such as squares, rectangles, rhombi and parallelograms. Start lesson →

Geometry of straight lines

1 lessons

📏 Geometry of straight lines: angle relationships When lines meet or parallel lines are cut by a transversal, predictable angle relationships appear. Grade 8 uses these relationships to find unknown angles and requires a geometric reason for each step. Start lesson →

Common fractions

1 lessons

🍕 Common fractions: operate with meaning Grade 8 consolidates fraction calculation and extends it to division by fractions and powers and roots of common fractions. Equivalent fractions, common factors, lowest common multiples and reciprocals help make the operations reliable. Start lesson →

Fractions in decimal notation

1 lessons

🔟 Decimal fractions: place value, operations and equivalence Decimal fractions use place value to represent parts of a whole. Grade 8 works with ordering, rounding and calculations with decimals, and links decimal notation to common fractions and percentages in practical problems. Start lesson →

The theorem of Pythagoras

1 lessons

📐 The theorem of Pythagoras: right-triangle side lengths Pythagoras is new in Grade 8. In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. CAPS also uses the relationship to decide whether a triangle with three known sides is right-angled and to solve problems with unknown lengths. Start lesson →

Perimeter and area of 2D shapes

1 lessons

📦 Perimeter and area of 2D shapes: measure boundaries and surfaces Perimeter measures the distance around a 2D shape; area measures the surface inside it. Grade 8 uses formulae for squares, rectangles, triangles and circles, decomposes composite polygons, works with π, and converts appropriate square units. Start lesson →

Surface area and volume of 3D objects

1 lessons

🧊 Surface area and volume of 3D objects: cover it or fill it? Grade 8 calculates surface area, volume and capacity of cubes, rectangular prisms and triangular prisms. Surface area is the total area of all outer faces; volume is the three-dimensional space occupied. CAPS also links cubic units to capacity, such as 1 cm³ = 1 ml. Start lesson →

Collect, organise and summarise data

1 lessons

📊 Collect, organise and summarise data: turn information into evidence Grade 8 data handling starts with good questions and suitable data sources. You distinguish samples from populations, organise data using tables, tally marks, stem-and-leaf displays or intervals, and summarise numerical data using mean, median, mode and range. Start lesson →

Represent data

1 lessons

📈 Represent data: choose the graph that tells the truth clearly Grade 8 represents grouped and ungrouped data with bar graphs, double bar graphs, histograms, pie charts and broken-line graphs. The representation must use appropriate scales and intervals so that the visual communicates the data accurately. Start lesson →

Interpret, analyse and report on data

1 lessons

🔎 Interpret, analyse and report data: ask what the graph really shows Grade 8 data analysis goes beyond reading a graph. You compare categories and intervals, consider data sources, samples, scales, central tendency, range, extremes, error and bias, then report conclusions and predictions in clear sentences. Start lesson →

Algebraic equations

1 lessons

⚖️ Algebraic equations: substitution and ordered pairs Grade 8 revisits equations in Term 4 and uses substitution to generate tables of ordered pairs. You continue solving with inverse operations and exponent laws, then connect equations such as y=−3x+2 to input-output tables that prepare you for graphs. Start lesson →

Graphs

1 lessons

📉 Graphs: turn relationships into pictures Grade 8 graphs connect real situations, tables and equations to visual relationships. CAPS asks learners to interpret global trends such as increasing, decreasing, constant, linear or non-linear, identify maximum/minimum and discrete/continuous behaviour, and plot ordered pairs on the Cartesian plane. Start lesson →

Transformation geometry

1 lessons

🔄 Transformation geometry: move shapes on the coordinate plane Grade 8 moves transformation geometry onto the coordinate plane. You reflect points and triangles in the x- or y-axis, translate within and across quadrants, rotate triangles around the origin, and use proportion to reason about enlargements and reductions. Start lesson →

Geometry of 3D objects

1 lessons

🧱 Geometry of 3D objects: faces, edges, vertices and nets Grade 8 classifies and compares the five Platonic solids by their faces, edges and vertices and revises nets of cubes, prisms and pyramids. Platonic solids have congruent regular polygon faces, and their counts reveal the relationship V−E+F=2. Start lesson →

Probability

1 lessons

🎲 Probability: expected chance and observed frequency Grade 8 probability considers simple situations with equally likely outcomes. You list all possible outcomes, calculate theoretical probability, predict relative frequency over repeated trials, and compare expected probability with what was actually observed. Start lesson →