Grade 8 Maths Worksheets

Learning Objectives

• Solve linear equations in one variable using the properties of equality while keeping both sides balanced.
• Use inverse operations to isolate the variable, including when the equation has fractions or like terms.
• Check solutions by substituting the value back into the original equation.

Learning Objectives

• Describe congruence using transformations such as translations, reflections, and rotations.
• Use coordinates to find the image of points after a transformation.
• Verify congruence by comparing corresponding lengths in transformed figures.

Learning Objectives

• Solve a pair of simultaneous linear equations in two variables to find the ordered pair that satisfies both equations
• Connect the algebraic solution of a system to the intersection point of the graphs
• Identify whether a system has one solution, no solution, or infinitely many solutions

Learning Objectives

• Explain what a unit rate is and how it relates to ratios.
• Complete and interpret ratio tables by finding missing values.
• Convert between equivalent rates using consistent scaling to get values for a denominator of 1.+ Show more

Learning Objectives

• Interpret square root notation as the magnitude whose square equals a nonnegative number
• Solve equations of the form x^2 = p using square roots, including both positive and negative solutions
• Connect algebraic solutions to radical form using ±√p+ Show more

Learning Objectives

• Convert numbers between standard form and scientific notation
• Use exponent rules to multiply and divide numbers written in scientific notation
• Compare numbers in scientific notation using their powers of 10

Learning Objectives

• Solve linear equations with rational coefficients by eliminating fractions and isolating the variable
• Use equivalent transformations (same operation on both sides) to keep an equation balanced
• Verify solutions by substituting back into the original equation+ Show more

Learning Objectives

• Use the form y = kx to describe proportional relationships that pass through the origin.
• Interpret the unit rate k as the slope of a proportional graph.
• Use proportional graphs to find missing y-values for given x-values and to compare rates of change.

Learning Objectives

• Use the proportional function rule y = kx to find unknown inputs or outputs
• Determine the constant of proportionality k from given values and apply it to new values
• Solve proportional relationships in context, interpreting the results as meaningful

Learning Objectives

• Identify the gradient (rate of change) and y-intercept (starting value) from points on a line
• Write a linear equation in the form y = mx + b that matches a graph
• Use y = mx + b to predict y-values for given x-values

Learning Objectives

• Determine slope using rise and run from two points on a coordinate grid
• Compare slopes from different pairs of points on the same line to confirm slope is constant
• Use sign (positive/negative/zero) to interpret slope direction from points

Learning Objectives

• Use addition or subtraction to eliminate a variable when solving a system of two linear equations
• Solve the resulting one-variable linear equation after elimination
• Substitute back into an original equation to find the second variable and the ordered pair

Learning Objectives

• Apply the distributive property to expand expressions with parentheses to form an equivalent equation.
• Combine like terms on each side to simplify to a linear equation in one variable.
• Solve the resulting linear equation by isolating the variable while keeping both sides balanced.+ Show more

Learning Objectives

• Understand that solving x^3 = p gives x = ∛p
• Use cube root notation correctly for positive and negative values of p
• Evaluate cube roots by checking that cubing the result gives p

Learning Objectives

• Use volume formulas to find the volume of cylinders, cones, and spheres.
• Substitute values for radius and height into the correct formula and simplify accurately.
• Solve for an unknown radius or height using volume relationships.+ Show more

Learning Objectives

• Use surface area formulas to calculate total outside area of 3D shapes.
• Combine base area and lateral area to find the total surface area for composite shapes.
• Solve equations that come from surface area formulas involving π.+ Show more

Learning Objectives

• Recognize that similarity transformations keep angle measures the same while changing side lengths by a common scale factor.
• Use transformation sequences (dilations, rotations, reflections, translations) to map one figure to a similar figure on a coordinate grid.
• Find scale factors and corresponding lengths using ratios and proportional reasoning.

Learning Objectives

• Describe how translations, rotations, and reflections move points on a 2D coordinate grid.
• Calculate the image of a point under a specified rigid motion.
• Use properties of rigid motions to verify that distances and angles are preserved.

Learning Objectives

• Rewrite expressions using the power of a power rule: (a^m)^n = a^(mn).
• Use the product of powers rule: a^m · a^n = a^(m+n) and the quotient rule: a^m ÷ a^n = a^(m−n).
• Solve exponent equations by rewriting both sides with the same base and equating exponents.

Learning Objectives

• Use substitution to rewrite one equation to express one variable in terms of the other
• Substitute that expression into the second equation to form and solve a one-variable equation
• Determine the corresponding value of the second variable and write the ordered pair solution

Learning Objectives

• Identify proportional relationships of the form y = kx and the meaning of the constant of proportionality k
• Use plotted points on a coordinate grid to find k and write the rule y = kx
• Complete a ratio table for a proportional relationship and determine missing values+ Show more

Learning Objectives

• Use scale factors to fill in missing entries in a proportional ratio table
• Use unit rate reasoning to find the output for any input in a proportional relationship
• Explain why corresponding entries in a proportional table stay in the same ratio

Learning Objectives

• Explain how integer exponents represent repeated multiplication and repeated division
• Use the exponent rules for integer powers (including zero and negative exponents) to find equivalent expressions
• Rewrite expressions with integer exponents as equivalent numerical values

Learning Objectives

• Link proportional situations across ratio tables, equations, and contextual descriptions by keeping the same multiplier.
• Use a constant of proportionality to complete missing values in a ratio table.
• Translate between an equation (y = kx) and the scaling described in other representations.

Learning Objectives

• Solve multi-step ratio problems by finding an intermediate unit rate or quantity and then scaling to the final amount
• Keep the same proportional multiplier within each proportional relationship while applying it across steps
• Translate ratio situations into equations and use algebra to find missing values

Learning Objectives

• Identify proportional relationships on a coordinate grid by checking that the line passes through the origin.
• Use plotted points on a proportional graph to find the constant of proportionality k and the equation y = kx.
• Interpret proportional graphs using rate reasoning: compute and compare y/x values for nonzero points.+ Show more

Learning Objectives

• Use ratio tables to identify the constant multiplier in a proportional relationship.
• Solve equations of the form kx = y to find the missing value in a proportional relationship.
• Connect the constant of proportionality k to unit rate (how much y changes when x increases by 1).+ Show more

Learning Objectives

• Interpret the constant of proportionality k in y = kx as the ratio y/x for any nonzero pair (x, y)
• Use k to find missing values in proportional relationships (solve for y or x)
• Connect proportional tables, graphs, and tape diagrams to the same constant k+ Show more

Learning Objectives

• Calculate a unit rate from a proportional relationship by dividing to get a per 1 quantity value
• Compare two proportional situations by converting them to the same unit basis (e.g., per 1 item)
• Use unit-rate comparisons to decide which situation grows faster or costs more per 1 unit

Learning Objectives

• Describe the direction of association in a scatter plot (positive, negative, or none).
• Judge the strength of association by how tightly points cluster around a general trend.
• Read coordinates from a scatter plot and use them to support conclusions about the pattern.

Learning Objectives

• Define residuals as the vertical difference between an observed data value and the predicted value from a line of best fit
• Compute and interpret residuals (including the meaning of positive vs negative residuals) to judge how well a linear model fits
• Use patterns in residuals to decide whether a linear fit is appropriate or if a different model may be needed

Learning Objectives

• Classify numbers as rational or irrational
• Use closure properties to predict whether an expression is rational or irrational
• Apply addition and multiplication rules involving rational and irrational numbers

Learning Objectives

• Identify whether a data display shows a positive, negative, or no association between two variables
• Explain why correlation (association) does not prove causation
• Use numerical features of graphs (center/spread/outliers) to describe relationships without making causal claims

Learning Objectives

• Use two-way tables to find conditional probabilities
• Calculate conditional probabilities from counts using P(A|B) = A∩B / B
• Interpret what conditional probability means in context and compare different conditions

Learning Objectives

• Use a line of best fit to model the overall trend in a scatter plot
• Calculate the slope and intercept of a best-fit line and interpret what they mean
• Use a best-fit line to make reasonable predictions within the domain of the data+ Show more

Learning Objectives

• Classify numbers as rational or irrational based on their decimal expansions
• Convert between fractions and terminating or repeating decimals to identify rational numbers
• Recognize common irrational numbers such as √2 and π and justify why they are irrational

Learning Objectives

• Solve equations of the form x² = a and x³ = a using exact radical solutions
• Express solutions symbolically using square roots and cube roots (not decimals)
• Relate radical solutions to their positions on the number line

Learning Objectives

• Add and subtract radicals by combining only like radicals (same radicand).
• Simplify radical expressions using perfect squares and exponent/root rules.
• Simplify products and quotients of radicals by combining factors under one radical when appropriate.

Learning Objectives

• Use rational approximations to locate the value of an irrational number (like √2) between nearby decimals on a number line
• Compare irrational numbers by comparing their rational decimal approximations
• Translate number-line order information into inequality statements

Learning Objectives

• Use the Pythagorean theorem a^2 + b^2 = c^2 to find missing side lengths in right triangles.
• Identify which side is the hypotenuse and match its value correctly to the right-angle vertex.
• Apply Pythagorean thinking to real-world contexts such as diagonals and ladder reach.

Learning Objectives

• Develop mathematical reasoning and problem-solving skills related to perseverance.
• Apply self-regulation strategies to overcome challenging tasks.
• Interpret real-world scenarios using calculations involving percentages, measurements, and data.+ Show more

Learning Objectives

• Identify different problem-solving strategies and understand their applications.
• Apply logical reasoning and calculations to solve real-world math problems.
• Develop skills in planning and monitoring solutions during problem-solving processes.+ Show more

Learning Objectives

• Develop problem-solving strategies and resilience in mathematical tasks.
• Apply mathematical concepts to real-world scenarios like budgeting and measurements.
• Enhance logical reasoning and self-monitoring during mathematical activities.+ Show more

Learning Objectives

• Develop effective strategies for planning and tackling complex mathematical problems.
• Analyze and evaluate different problem-solving approaches and monitor progress.
• Apply mathematical reasoning and calculations to real-world scenarios involving percentages, measurements, and data interpretation.+ Show more

Learning Objectives

• Apply mathematical reasoning to real-world scenarios involving budgeting and measurements.
• Interpret data and percentages to make informed decisions.
• Solve multi-step problems accurately using logical and quantitative skills.+ Show more

Learning Objectives

• Develop understanding of how self-monitoring enhances problem-solving in mathematics.
• Learn techniques for assessing and regulating one's mathematical reasoning.
• Apply metacognitive strategies to solve real-world mathematical problems.+ Show more

Learning Objectives

• Develop the ability to interpret and describe mathematical reasoning clearly in written, visual, and verbal forms.
• Apply problem-solving strategies to real-world contexts involving calculations, data interpretation, and logical reasoning.
• Enhance understanding of mathematical concepts through precise communication and representation skills.+ Show more

Learning Objectives

• Understand the connection between fractions, decimals, and percentages.
• Convert between different representations and interpret their meaning in context.
• Apply proportional reasoning to real-world problems involving discounts, data, and measurements.+ Show more