Year 8 Mathematics

Students will classify rational numbers as terminating or recurring decimals and convert between fractions and decimals.

Students will perform all four operations (addition, subtraction, multiplication, division) with positive and negative rational numbers.

Students will define ratios, express them in simplest form, and understand their application in comparing quantities.

Students will apply ratio and scale factors to solve practical problems involving maps, models, and mixtures.

Students will define rates, calculate unit rates, and use them to compare different quantities.

Students will apply constant rates of change to solve problems related to speed, distance, time, and unit pricing.

Students will convert between fractions, decimals, and percentages, and calculate percentages of quantities.

Students will calculate percentage increases and decreases, and apply them to real-world scenarios like discounts and interest.

Students will calculate simple interest and understand its application in savings and loans.

Students will express very large and very small numbers using scientific notation and perform basic operations.

Students will define variables, terms, and expressions, and translate word phrases into algebraic expressions.

Students will identify and combine like terms to simplify algebraic expressions.

Students will apply the distributive law to expand algebraic expressions involving parentheses.

Students will apply index laws to simplify expressions involving multiplication and division of terms with indices.

Students will extend their understanding of index laws to include powers of powers and negative indices.

Students will define linear equations and understand the concept of balancing an equation.

Students will solve one-step linear equations involving addition, subtraction, multiplication, and division.

Students will develop strategies for solving two-step linear equations.

Students will solve linear equations where the variable appears on both sides of the equality.

Students will identify linear patterns in sequences and tables, and derive algebraic rules to describe them.

Students will identify and plot points in all four quadrants of the Cartesian plane, understanding coordinates.

Students will generate tables of values for linear equations and plot these points to construct graphs.

Students will identify the slope (gradient) and y-intercept of a linear equation and its graph.

Students will graph linear equations directly from their slope-intercept form (y = mx + c).

Students will identify and graph horizontal and vertical lines, understanding their unique equations.

Students will analyze and interpret distance-time graphs to describe motion and calculate speed.

Students will interpret various real-life data representations, such as cost-quantity graphs and growth charts.

Students will solve pairs of linear equations by graphing them and finding their intersection point.

Students will understand and represent linear inequalities on a number line.

Students will solve one-step and two-step linear inequalities and graph their solutions.

Students will graph linear inequalities in two variables on the Cartesian plane, identifying the solution region.

Students will discover the relationship between circumference, diameter, and the constant Pi, and calculate circumference.

Students will derive and apply the formula for the area of a circle.

Students will develop and apply formulas for the area of parallelograms and rhombuses.

Students will develop and apply the formula for the area of a trapezium.

Students will calculate the area of composite shapes by decomposing them into simpler polygons and circles.

Students will calculate the volume of right prisms with various polygonal bases.

Students will calculate the surface area of right prisms by finding the sum of the areas of all their faces.

Students will convert between different units of length, area, and volume within the metric system.

Students will identify and use properties of angles on a straight line and angles at a point.

Students will apply angle sum properties to find unknown angles in triangles and quadrilaterals.

Students will identify and use properties of corresponding, alternate, and co-interior angles.

Students will define congruence and understand the concept of identical shapes.

Students will apply the SSS and SAS congruence tests to determine if two triangles are congruent.

Students will apply the ASA and RHS congruence tests to determine if two triangles are congruent.

Students will use congruence properties to prove other geometric relationships and solve problems.

Students will identify and describe line and rotational symmetry in 2D shapes.

Students will perform and describe translations of 2D shapes on the Cartesian plane using coordinates.

Students will perform and describe reflections of 2D shapes across the x-axis, y-axis, and other lines.

Students will perform and describe rotations of 2D shapes about a point, including 90, 180, and 270 degrees.

Students will calculate and compare the mean, median, and mode of various data sets.

Students will calculate the range and interquartile range (IQR) to describe the spread of data.

Students will create and interpret stem and leaf plots to visualize data distribution.

Students will construct and interpret histograms and dot plots to represent continuous and discrete data.

Students will understand different data collection methods and identify potential sources of bias.

Students will define probability, identify sample spaces, and calculate theoretical probability of single events.

Students will conduct experiments, record results, and calculate experimental probability.

Students will calculate the probability of independent multi-step events using tree diagrams.

Students will calculate the probability of independent multi-step events using two-way tables.

Students will apply their knowledge of statistics and probability to solve real-world problems and make informed decisions.