Grade 8 Maths Worksheets

Learning Objectives

• Understand how to interpret and convert numbers using scientific notation.
• Apply exponent laws to simplify and compare scientific notation expressions.
• Use scientific notation to estimate and analyze real-world data in contexts such as astronomy, biology, and finance.+ 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

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

• Calculate simple interest in various financial scenarios.
• Apply proportional reasoning to compare different savings and loan options.
• Interpret the effects of interest rates and time periods on total amounts.+ 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

• Apply mathematical reasoning to evaluate trade-offs in financial decisions.
• Calculate percentages, discounts, and compare costs to make informed choices.
• Interpret real-world scenarios involving budgeting and price changes using mathematical concepts.+ 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

• Understand the meaning of coefficients in algebraic expressions as rates of change.
• Interpret the initial value parameter in linear relationships within real-world contexts.
• Apply mathematical reasoning to solve problems involving coefficients and linear models.+ Show more

Learning Objectives

• Identify and explain the key components of mathematical processes such as problem solving, reasoning, reflecting, connecting, representing, and communicating.
• Apply different components to solve real-world mathematical problems and communicate solutions effectively.
• Analyze how each component contributes to developing comprehensive mathematical understanding.+ Show more

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

• Understand and apply rounding techniques to estimate results of rational number calculations.
• Develop reasoning strategies using benchmarks and compatible numbers to verify solutions.
• Solve multi-step word problems involving money, measurements, and percentages through estimation.+ Show more

Learning Objectives

• Understand the concept of volume as a measure of three-dimensional space.
• Apply decomposition of composite shapes to estimate and calculate volume.
• Use formulas for basic solids to develop problem-solving skills related to volume.+ Show more

Learning Objectives

• Understand the properties of interior and exterior angles in polygons.
• Calculate unknown angles in different types of polygons using angle sum properties.
• Apply reasoning to interpret real-world problems involving polygon angles.+ Show more

Learning Objectives

• Understand the basic principles of probability through practical examples.
• Calculate and interpret experimental and theoretical probabilities in real-world scenarios.
• Apply probability concepts to make predictions and analyze data.+ Show more

Learning Objectives

• Understand how to construct and interpret frequency tables, bar graphs, and line plots.
• Apply data organization techniques to real-world scenarios for better pattern recognition.
• Develop skills in labeling, scaling, and categorizing data for clear visual representation.+ Show more

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

• Understand how to combine like terms in algebraic expressions.
• Simplify algebraic expressions to their equivalent forms.
• Apply manipulation techniques to solve real-world problems involving linear relations.+ Show more

Learning Objectives

• Understand the relationship between percentages, fractions, and decimals.
• Convert between different forms to interpret proportional parts in real-world contexts.
• Apply percentage calculations in shopping, interest, and data interpretation scenarios.+ Show more

Learning Objectives

• Understand how to evaluate the accuracy of a linear model using residuals and error measures.
• Calculate and interpret residuals and prediction errors in real-world data.
• Apply numerical methods to assess the goodness of fit of a model.+ Show more

Learning Objectives

• Understand how to calculate simple interest on savings over different periods and interest rates.
• Apply proportional reasoning to compare interest earned in various scenarios.
• Analyze the impact of interest rates and time on the growth of savings.+ Show more

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

• Understand different data representations and their appropriate applications.
• Calculate and interpret measures of data summary, such as averages and ranges.
• Evaluate the strengths and limitations of various data visualization methods.+ Show more

Learning Objectives

• Understand and interpret unit pricing labels to determine cost-effectiveness.
• Calculate and compare unit prices across different products and sizes.
• Apply mathematical reasoning to make informed shopping decisions.+ Show more

Learning Objectives

• Apply basic arithmetic operations to real-world budgeting scenarios.
• Interpret financial data to make informed decisions about expenses and savings.
• Calculate percentages and ratios relevant to budgeting and personal finance.+ Show more

Learning Objectives

• Apply addition, subtraction, multiplication, and division to rational quantities in practical contexts.
• Analyze the effects of operations on ratios and proportions in real-world scenarios.
• Solve multi-step problems involving rational numbers with reasoning and calculation.+ Show more

Learning Objectives

• Calculate and interpret the mean, median, and mode of data sets.
• Apply measures of central tendency to real-world problems and datasets.
• Analyze which measure best summarizes different types of data distributions.+ Show more

Learning Objectives

• Apply geometric properties and transformations to solve real-world problems.
• Interpret measurements and data to make logical decisions involving shapes and spatial relationships.
• Use reasoning and property justification to analyze practical scenarios.+ Show more

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

• Understand the procedures for adding and subtracting integers including signs and magnitudes.
• Apply rules for integer operations in real-world scenarios such as finance and elevation changes.
• Analyze how different rule implementations affect calculation results and interpret outcomes.+ Show more

Learning Objectives

• Understand and interpret linear inequalities in algebraic and graphical forms.
• Apply linear inequalities to solve real-world problems such as budgeting and measurements.
• Compare and contrast different representations of inequalities to determine solution regions.+ Show more

Learning Objectives

• Understand and apply the rules for adding, subtracting, multiplying, and dividing rational numbers.
• Solve real-world problems involving rational number operations in contexts like shopping, temperature, and budgeting.
• Develop reasoning skills to verify the reasonableness of answers using estimation and comparison.+ 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

• Understand and apply the formula for calculating the volume of a cylinder.
• Interpret real-world problems involving cylinder volume and solve multi-step questions.
• Develop problem-solving skills by analyzing dimensions and volume relationships.+ Show more

Learning Objectives

• Understand the impact of translations, rotations, reflections, and dilations on geometric figures.
• Apply transformation rules to determine congruence and similarity in real-world problems.
• Calculate measurements after transformations and analyze their effects on figures.+ Show more

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

• 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

• 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

• Understand the basic criteria for triangle congruence, including side-angle-side and angle-side-angle.
• Apply the congruence criteria to determine whether two triangles are congruent in real-world contexts.
• Use logical reasoning and calculations to verify congruence of geometric figures.+ Show more

Learning Objectives

• Interpret and calculate percentages in various contexts such as discounts, taxes, and markups.
• Translate between fractions, decimals, and percentages accurately.
• Apply proportional reasoning to real-world problems involving price changes.+ Show more

Learning Objectives

• Understand measures of central tendency and variability in data sets.
• Apply data analysis techniques to interpret real-world scenarios.
• Create and interpret visual representations of data such as graphs and charts.+ 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

• 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

• Understand how to analyze ratios and proportions in real-world contexts.
• Apply proportional reasoning to solve problems involving scale models, rates, and comparisons.
• Assess the reasonableness of solutions using contextual clues and patterns.+ Show more

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 how to interpret scatter plots to identify different types of correlations.
• Calculate and compare the strength of linear relationships between data sets.
• Apply mathematical reasoning to interpret data and assess causality versus association.+ 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

• Develop the ability to interpret financial scenarios involving earning, spending, and saving.
• Apply mathematical calculations to real-world budgeting and expense management situations.
• Understand how income and expenses influence overall financial planning.+ Show more