Grade 8 Mathematics
Engage with comprehensive and interactive lessons tailored for eighth graders to build a robust mathematical foundation.
Whole Numbers
Explore properties, calculations, multiples, factors, and problem-solving with whole numbers.
Learn MoreCommon Fractions
Perform calculations and solve problems involving common fractions and mixed numbers.
Learn MoreDecimal Fractions
Master calculations and problem-solving with decimal fractions, including squares and roots.
Learn MoreExponents
Compare, represent, and perform calculations using exponential forms and scientific notation.
Learn MoreNumeric & Geometric Patterns
Investigate and extend numeric and geometric patterns, identifying relationships and rules.
Learn MoreFunctions & Relationships
Explore functions and relationships through input-output tables, flow diagrams, and algebraic expressions.
Learn MoreAlgebraic Expressions
Expand, simplify, and solve algebraic expressions using various laws and properties.
Learn MoreAlgebraic Equations
Solve and interpret algebraic equations using various methods and representations.
Learn MoreGeometry of Straight Lines
Understand angle relationships formed by various types of lines and solve related problems.
Learn MoreGeometry of 2D Shapes
Classify, construct, and investigate properties of various 2D shapes, including triangles and quadrilaterals.
Learn MoreGraphs
Interpret and create various types of graphs, understanding their features and trends.
Learn MoreTheorem of Pythagoras
Explore and apply the Theorem of Pythagoras in right-angled triangles to solve various problems.
Learn MoreArea & Perimeter of 2D Shapes
Calculate the area and perimeter of various 2D shapes, including circles, using appropriate formulas.
Learn MoreWhole Numbers Subtopics
- Properties of Whole Numbers: Revise properties from previous grades and recognize the division property of 0, where any number divided by 0 is undefined.
- Calculations: Revise calculations using all four operations on whole numbers, including estimation and calculator use where appropriate.
- Calculation Techniques: Utilize strategies such as estimation, column addition/subtraction/multiplication, long division, rounding off, compensating, and calculator use to perform and check calculations.
- Multiples and Factors: Revise prime factors of up to 3-digit whole numbers and find LCM and HCF by inspection or factorization.
- Solving Problems: Solve problems involving ratios, rates, sharing in given ratios, increasing/decreasing numbers in ratios, and financial contexts like VAT, hire purchase, and exchange rates.
- Interactive Activity: Whole Numbers Challenge
- Formal Assessment Tasks: Assignments and tests covering all whole numbers topics to assess understanding and application.
Integers Subtopics
- Calculations with Integers: Revise addition and subtraction with integers, and learn to multiply and divide integers. Perform calculations involving all four operations with integers, including squares, cubes, square roots, and cube roots.
- Properties of Integers: Recognize and apply commutative, associative, and distributive properties of addition and multiplication for integers. Use additive and multiplicative inverses effectively.
- Formal Assessment Tasks: Assignments and tests covering all integers topics to assess understanding and application.
- Interactive Activity: Integers Challenge
Common Fractions Subtopics
- Calculations with Fractions: Divide whole numbers and common fractions by common fractions. Calculate squares, cubes, square roots, and cube roots of common fractions. Compute amounts with given percentage increases or decreases.
- Calculation Techniques: Use reciprocal relationships to divide common fractions. Apply knowledge of equivalent fractions to perform addition and subtraction.
- Percentage: Calculate amounts with given percentage increases or decreases.
- Solving Problems: Solve problems in contexts involving common fractions, mixed numbers, grouping, sharing, and finding fractions of whole numbers, as well as percentages.
- Interactive Activity: Fractions Mastery
Decimal Fractions Subtopics
- Calculations with Decimal Fractions: Multiply and divide decimal fractions, including multiplying by other decimals not limited to one decimal place. Calculate squares, cubes, square roots, and cube roots of decimal fractions.
- Calculation Techniques: Use place value understanding to estimate the number of decimal places in results before calculations. Use rounding off and calculators to check results where appropriate.
- Solving Problems: Tackle problems in contexts involving decimal fractions.
- Interactive Activity: Decimal Fractions Challenge
Exponents Subtopics
- Comparing and Representing: Revise comparing and representing whole numbers and integers in exponential form. Compare and represent numbers in scientific notation, limited to positive exponents.
- Calculations with Exponents: Establish and apply general laws of exponents, limited to:
- ๐m ร ๐n = ๐m+n
- ๐m รท ๐n = ๐mโn (if ๐ > ๐)
- (๐m)n = ๐mรn
- (๐ ร ๐ก)n = ๐n ร ๐กn
- ๐0 = 1
- Advanced Calculations: Recognize and use the appropriate laws of operations involving exponents and roots. Perform calculations involving all four operations with numbers that include squares, cubes, square roots, and cube roots of integers and rational numbers.
- Solving Problems: Solve problems in contexts involving numbers in exponential form.
- Interactive Activity: Exponents Explorer
Numeric & Geometric Patterns Subtopics
- Investigate and Extend Patterns: Revise and investigate numeric and geometric patterns, identifying relationships between numbers, including patterns represented algebraically. Explore patterns not limited to constant differences or ratios.
- Describe and Justify Rules: Describe and justify the general rules for observed relationships between numbers in own words or in algebraic language.
- Interactive Activity: Patterns Pro
Functions & Relationships Subtopics
- Input and Output Values: Revise and determine input values, output values, or rules for patterns and relationships using flow diagrams, tables, and formulas. Extend to using equations.
- Equivalent Forms: Revise and determine, interpret, and justify equivalence of different descriptions of the same relationship or rule presented verbally, in flow diagrams, tables, formulas, and number sentences. Extend to equivalence presented by equations.
- Interactive Activity: Functions Explorer
Algebraic Expressions Subtopics
- Expand and Simplify: Use commutative, associative, and distributive laws for rational numbers and exponents to add and subtract like terms in algebraic expressions. Multiply integers and monomials by monomials, binomials, and trinomials. Divide algebraic expressions by integers or monomials, binomials, and trinomials. Simplify algebraic expressions involving these operations.
- Roots of Algebraic Terms: Determine squares, cubes, square roots, and cube roots of single algebraic terms or like algebraic terms.
- Substitution: Determine the numerical value of algebraic expressions by substitution.
- Interactive Activity: Algebraic Expressions Mastery
Algebraic Equations Subtopics
- Equations: Use substitution in equations to generate tables of ordered pairs. Extend solving equations to include using additive and multiplicative inverses and laws of exponents.
- Interactive Activity: Algebraic Equations Explorer
Geometry of Straight Lines Subtopics
- Angle Relationships: Recognize and describe pairs of angles formed by perpendicular lines, intersecting lines, parallel lines cut by a transversal.
- Solving Problems: Solve geometric problems using the relationships between pairs of angles described above.
- Interactive Activity: Straight Lines Explorer
Geometry of 2D Shapes Subtopics
- Classifying 2D Shapes: Identify and write clear definitions of triangles based on sides and angles (equilateral, isosceles, right-angled). Similarly, classify quadrilaterals based on sides and angles (parallelogram, rectangle, square, rhombus, trapezium, kite).
- Constructions: Provide learners with accurately constructed figures to investigate properties of triangles and quadrilaterals.
- Investigating Properties: Investigate angles in triangles (sum of interior angles, properties of equilateral and isosceles triangles) and sides/angles in quadrilaterals (sum of interior angles, properties of parallelograms).
- Similar and Congruent Shapes: Identify and describe properties of congruent and similar figures.
- Solving Problems: Solve geometric problems involving unknown sides and angles in triangles and quadrilaterals using known properties and definitions.
- Interactive Activity: 2D Shapes Mastery
Graphs Subtopics
- Interpreting Graphs: Analyze and interpret global graphs of problem situations, focusing on trends and features such as linearity, constancy, increasing/decreasing trends, maxima/minima, and discreteness/continuity.
- Drawing Graphs: Draw global graphs from problem descriptions, identifying the aforementioned features. Use tables or ordered pairs to plot points and draw graphs on the Cartesian plane.
- Interactive Activity: Graphs Explorer
Theorem of Pythagoras Subtopics
- Developing the Theorem: Investigate the relationship between the lengths of the sides of a right-angled triangle to develop the Theorem of Pythagoras.
- Determining Right-Angled Triangles: Determine whether a triangle is right-angled based on the lengths of its sides.
- Applying the Theorem: Use the Theorem of Pythagoras to calculate missing lengths in right-angled triangles, leaving irrational answers in surd form.
- Interactive Activity: Pythagoras Explorer
Area & Perimeter of 2D Shapes Subtopics
- Perimeter and Area Calculations: Use appropriate formulas to calculate the perimeter and area of circles. Calculate the areas of polygons to at least two decimal places by decomposing them into rectangles and/or triangles.
- Relationships in Circles: Use and describe the relationships between the radius, diameter, and circumference, as well as between the radius and area of a circle in calculations.
- Problem Solving: Solve problems involving perimeter and area of polygons and circles to at least two decimal places. Understand and use the irrational number Pi (ฯ) in calculations involving circles. Convert between appropriate SI units (mmยฒ, cmยฒ, mยฒ, kmยฒ).
- Interactive Activity: Area & Perimeter Explorer