Maths Worksheets

Learning Objectives

• Identify the rule in a numeric pattern from a table, number line, or inequality graph
• Describe how sequences change using consistent operations (add, subtract, multiply, divide)
• Translate pattern statements between different representations (graphs, inequalities, expressions)+ Show more

Learning Objectives

• Understand how to interpret scale factors in maps and diagrams.
• Apply proportional reasoning to find real-world distances from scaled measurements.
• Solve multi-step problems involving scale conversions and proportional relationships.+ Show more

Learning Objectives

• Use complementary angle relationships in a right triangle to convert between sine and cosine values.
• Use complementary angle cofunction relationships to convert between tangent and cotangent values.
• Apply cofunction identities to solve for missing trigonometric ratios of acute angles.

Learning Objectives

• Factor rational expressions to reveal common numerator and denominator factors.
• Simplify rational expressions by canceling matching factors while tracking excluded values.
• Explain why a simplified rational expression is equivalent only for allowed input values.

Learning Objectives

• Understand and apply volume formulas for prisms, cylinders, and other three-dimensional figures.
• Perform unit conversions and estimate volumes in real-world scenarios.
• Assess the reasonableness of calculated volumes and interpret their significance.+ Show more

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

• Calculate sine, cosine, and tangent of an acute angle in a right triangle using side ratios.
• Use the Pythagorean theorem to find missing sides before applying trigonometric ratios.
• Explain why trigonometric ratios depend only on the acute angle for similar right triangles.

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

• Understand how to perform basic operations with decimal numbers accurately.
• Interpret and evaluate the reasonableness of decimal calculations in real-world contexts.
• Apply problem-solving strategies to multi-step decimal problems involving addition, subtraction, multiplication, and division.+ Show more

Learning Objectives

• Understand the properties of logarithms and how to apply them to solve equations.
• Develop skills to rewrite and manipulate logarithmic and exponential expressions.
• Apply logarithmic methods to solve real-world problems involving growth, decay, and data interpretation.+ Show more

Learning Objectives

• Understand and interpret ratios and rates in real-world contexts.
• Calculate and compare ratios and rates to solve practical problems.
• Develop mathematical reasoning and problem-solving skills involving ratios and rates.+ 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 how shifts, stretches, and reflections affect quadratic functions both algebraically and graphically.
• Apply transformation concepts to interpret changes in the vertex and shape of a parabola.
• Solve real-world problems involving quadratic transformations in practical contexts.+ Show more

Learning Objectives

• Understand the concept of amortization and its application in loan repayment.
• Calculate periodic loan payments using amortization formulas.
• Interpret amortization schedules to analyze principal and interest payments over time.+ Show more

Learning Objectives

• Distinguish rational and irrational numbers using whether their decimal expansions terminate or repeat
• Convert between common fractions and decimals to determine if a decimal terminates or repeats
• Use number line and graphs to connect decimal behaviour to rational vs irrational classification

Learning Objectives

• Understand the criteria for selecting appropriate mathematical tools in problem-solving.
• Apply different tools such as diagrams, manipulatives, graphing software, and calculators to solve real-world problems.
• Assess the reasonableness of solutions based on the tools and methods used.+ 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

• Understand the concept of probability through real-world scenarios.
• Calculate and interpret experimental and theoretical probabilities.
• Apply probability concepts to solve multi-step problems involving chance.+ 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

• Understand and apply estimation strategies for multiplication and division using rounded or compatible numbers.
• Evaluate the reasonableness of estimated results in real-world contexts such as shopping and measurements.
• Develop mathematical reasoning by analyzing the accuracy of estimations compared to exact calculations.+ Show more

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

• Understand how to analyze and compare different financial products using unit prices and interest rates.
• Develop problem-solving skills involving calculations of costs, percentages, and interest over time.
• Apply mathematical reasoning to evaluate consumer choices related to savings, loans, and credit options.+ Show more

Learning Objectives

• Understand basic probability concepts and models.
• Apply probability principles to real-world and experimental scenarios.
• Calculate theoretical probabilities of simple events involving coins and dice.+ Show more

Learning Objectives

• Understand and interpret scale factors in drawings and maps.
• Apply proportional reasoning to determine actual measurements from scaled representations.
• Calculate real-world dimensions based on scale models.+ Show more

Learning Objectives

• Understand the concept of equivalent fractions using visual models and calculation methods.
• Apply cross-multiplication and simplification strategies to determine if fractions are equivalent.
• Interpret and analyze real-world scenarios involving ratios, proportions, and fractional relationships.+ Show more

Learning Objectives

• Use the Remainder Theorem to connect dividing by x-a to the value p(a).
• Use p(a)=0 to decide when x-a is a factor of p(x).
• Use non-zero remainders to rule out incorrect factors/roots.

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

• Apply fractional reasoning to interpret ratios and proportions in real-world scenarios.
• Solve practical problems involving division of resources, discounts, and data interpretation using fractions.
• Develop strategies for multi-step calculations involving fractions in everyday contexts.+ Show more

Learning Objectives

• Interpret key features of graphs of functions, including where they increase or decrease and where maxima or minima occur
• Use intercepts to describe how a function behaves at specific input values
• Sketch or describe a graph using features (not just isolated points)+ Show more

Learning Objectives

• Understand basic mathematical concepts used in financial modeling.
• Apply percentage and ratio calculations to personal finance scenarios.
• Interpret and analyze financial data to make informed budgeting decisions.+ Show more

Learning Objectives

• Apply basic arithmetic operations to solve budgeting problems.
• Interpret percentages and ratios in real-life financial contexts.
• Analyze resource allocation decisions and their outcomes.+ 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

• Understand the algebraic computation of the vector (cross) product in three dimensions.
• Interpret the geometric significance of the cross product as a vector orthogonal to the plane.
• Apply the cross product to solve real-world problems involving torque, forces, and area calculations.+ Show more

Learning Objectives

• Develop problem-solving skills involving oblique triangles using trigonometry.
• Interpret and analyze real-world measurement problems involving multiple angles and sides.
• Apply the Law of Cosines and Law of Sines accurately in complex scenarios.+ Show more

Learning Objectives

• Understand and compare different payment methods and their costs.
• Apply mathematical calculations to budget and evaluate consumer choices.
• Interpret data and marketing claims to make responsible financial decisions.+ Show more

Learning Objectives

• Understand the concept of limits as the input approaches infinity and how functions behave at their end points.
• Calculate limits of polynomial and rational functions as x approaches infinity.
• Interpret horizontal asymptotes and relate them to the end behaviour of functions.+ Show more

Learning Objectives

• Rewrite algebraic expressions using exponent rules for products, quotients, and powers-to-a-power
• Create equivalent exponent forms and identify which rule justifies each rewrite
• Solve for variables in equations by first rewriting expressions into simpler exponent forms

Learning Objectives

• Find and interpret median and interquartile range (IQR) from a box plot and explain what they say about center and spread.
• Use mean/median and range/IQR to compare two data sets, especially when one distribution is skewed or has outliers.
• Justify which statistical measure (median vs mean, IQR vs range) is most appropriate for a given distribution shape.

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

• Add and subtract polynomials by combining like terms to form an equivalent expression
• Multiply polynomials using distributive property and expand to standard form
• Divide polynomials by a monomial and simplify to an equivalent polynomial expression+ Show more

Learning Objectives

• Understand how degrees of numerator and denominator affect the end behavior of rational functions.
• Interpret asymptotes and complex features in the graphs of rational functions.
• Apply transformations and composite functions to analyze rational graphs.+ Show more

Learning Objectives

• Calculate unit rates (price per 1 item or 1 kilogram) to compare value.
• Use proportional reasoning to complete tables and solve price equations.
• Evaluate which option is more affordable by comparing costs using the same quantity.

Learning Objectives

• Apply mathematical reasoning to analyze financial data and marketing claims.
• Calculate percentages, discounts, and total costs in practical scenarios.
• Interpret data to make informed financial decisions based on mathematical analysis.+ Show more

Learning Objectives

• Understand how to translate real-world scenarios into algebraic equations.
• Apply variables to represent unknown quantities in problem-solving.
• Develop skills to construct and interpret linear equations from contextual data.+ Show more

Learning Objectives

• Develop clarity in articulating mathematical ideas using precise language, symbols, and visual tools.
• Apply reasoning and problem-solving skills to interpret and communicate mathematical concepts and solutions.
• Use effective mathematical notation and explanations to enhance collaboration and understanding.

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 relationship between decimals and percentages and convert between them.
• Apply conversion skills to interpret data and solve real-world problems involving percentages and decimals.
• Develop problem-solving strategies for multi-step calculations involving percentage and decimal representations.+ Show more