Year 8 Mathematics SyllabusNumbers- Place value and ordering of numbers
- Prime and composite numbers
- Factors and multiples
- Prime factorization
- Divisibility rules
Decimals- Place value and ordering of decimals
- Addition, subtraction, multiplication, and division of decimals
- Converting decimals to fractions and vice versa
- Rounding decimals
Fractions- Simplifying fractions
- Equivalent fractions
- Adding, subtracting, multiplying, and dividing fractions
- Converting between proper fractions, improper fractions, and mixed numbers
Integers- Ordering and comparing integers
- Addition, subtraction, multiplication, and division of integers
- Absolute value
- Operations with positive and negative numbers
Rational Numbers- Rational and irrational numbers
- Converting between fractions and decimals
- Operations with rational numbers
- Comparing and ordering rational numbers
Roots & Indices- Square roots and cube roots
- Simplifying square roots and cube roots
- Indices and laws of indices
- Scientific notation
Ratio & Proportion- Ratios and rates
- Proportional relationships
- Solving problems involving ratios and proportions
- Direct and inverse proportion
Percentages- Converting between percentages, decimals, and fractions
- Percentage increase and decrease
- Finding the percentage of a quantity
- Solving problems involving percentages
Consumer Math- Calculating discounts, markups, and sale prices
- Simple and compound interest
- Profit and loss
- Budgeting and financial planning
Estimation- Estimating sums, differences, products, and quotients
- Rounding to significant figures
- Estimating measurements and calculations
Measurement Units- Converting between metric and imperial units
- Length, mass, capacity, and volume measurements
- Perimeter, area, and volume of geometric figures
- Time and temperature
Coordinate Plane- Plotting points on a coordinate plane
- Finding the distance between two points
- Finding the midpoint of a line segment
- Graphing linear equations
Sequences- Arithmetic sequences
- Geometric sequences
- Finding the nth term of a sequence
- Finding the sum of a finite or infinite sequence
Algebraic Expressions- Simplifying algebraic expressions
- Evaluating expressions
- Combining like terms
- Expanding and factorizing expressions
Equations in One Variable- Solving linear equations
- Solving quadratic equations
- Solving absolute value equations
- Solving literal equations
Inequalities in One Variable- Solving linear inequalities
- Solving quadratic inequalities
- Solving absolute value inequalities
- Solving compound inequalities
Equations in Two Variables- Graphing linear equations in two variables
- Solving systems of linear equations
- Solving simultaneous equations
- Solving equations with variables on both sides
Linear Functions- Graphing linear functions
- Finding the slope and y-intercept of a line
- Writing the equation of a line
- Solving problems involving linear functions
Two Dimensional Shapes- Classifying polygons
- Properties of triangles and quadrilaterals
- Perimeter and area of polygons
- Properties of circles
Three Dimensional Shapes- Classifying three-dimensional shapes
- Surface area and volume of prisms, pyramids, cylinders, cones, and spheres
- Nets and surface area of composite shapes
- Converting between units of volume
Geometry & Measurement- Angle relationships
- Properties of parallel lines and transversals
- Similarity and congruence of triangles
- Pythagorean theorem and its applications
Symmetry & Transformations- Lines of symmetry
- Rotations, reflections, and translations
- Enlargements and reductions
- Tessellations
Congruence & Similarity- Congruent figures and corresponding parts
- Similar figures and scale factor
- Similarity transformations
- Proving triangles congruent or similar
Pythagoras Theorem- Understanding the Pythagorean theorem
- Applying the Pythagorean theorem to find missing side lengths
- Solving problems involving right-angled triangles
- Converse of the Pythagorean theorem
Constructions- Constructing congruent segments and angles
- Bisecting line segments and angles
- Constructing perpendicular and parallel lines
- Constructing triangles and other geometric figures
Graphs- Reading and interpreting graphs
- Line graphs, bar graphs, and pie charts
- Scatter plots and trend lines
- Interpreting graphs in real-life contexts
Statistics- Collecting, organizing, and representing data
- Measures of central tendency (mean, median, mode)
- Range and interquartile range
- Probability and expected outcomes
Probability- Basic probability concepts
- Sample space and outcomes
- Calculating probabilities
- Experimental and theoretical probability
This course is helpful for the following exams: Class 8, Year 8