Maths Worksheets

Learning Objectives

• Identify and extend number patterns involving addition, subtraction, multiplication, and division.
• Calculate and apply greatest common factors (GCF) and least common multiples (LCM) to solve problems.
• Determine prime and composite numbers and explain their properties.+ Show more

Learning Objectives

• Analyze the end behavior of polynomial functions based on degree and leading coefficient.
• Determine the roots and multiplicities of polynomials through factoring and interpret their effects on graph shape.
• Apply polynomial concepts to model real-world situations involving data trends and patterns.+ Show more

Learning Objectives

• Interpret inequalities using the direction of shading (left/right) on a number line
• Identify whether an endpoint is included by using open vs closed circles
• Write an inequality from a number line graph (and vice versa) using rational numbers

Learning Objectives

• Identify and interpret different representations of linear relationships, including tables, graphs, and equations.
• Calculate the constant rate of change from tables and graphs.
• Apply algebraic expressions to real-world situations involving linear patterns.+ Show more

Learning Objectives

• Understand how to determine the relationships between two lines using slopes and intercepts.
• Apply algebraic methods to solve systems of equations in practical contexts.
• Interpret solutions of systems in real-world scenarios such as budgeting and measurements.+ Show more

Learning Objectives

• Understand the concept of similar figures and their properties.
• Apply ratio and proportion techniques to solve real-world problems.
• Use scale factors to determine lengths and measurements in similar figures.+ Show more

Learning Objectives

• Understand how to perform addition, subtraction, multiplication, and division with integers.
• Apply integer operations to solve real-world problems involving financial transactions and temperature changes.
• Develop strategies for accurate computation and reasoning with integers.+ Show more

Learning Objectives

• Compare rational numbers by using their positions relative to 0 on the number line.
• Order rational numbers with different signs and with the same sign.
• Use absolute value (distance from 0) to justify comparisons.

Learning Objectives

• Understand the concept of similarity in geometric figures and how scale factors relate side lengths.
• Apply proportional reasoning to find missing measurements in similar figures.
• Calculate areas of similar shapes using scale factors and understand the impact of transformations.+ Show more

Learning Objectives

• Apply basic trigonometric ratios to find unknown side lengths in right triangles.
• Interpret measurement scenarios using sine, cosine, and tangent ratios.
• Solve multi-step problems involving real-world measurement and estimation.+ 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

• Use ratio reasoning (tape diagrams) to split limited resources fairly.
• Use unit value to convert between ratios and actual amounts of money/time.
• Write and interpret inequalities that represent resource limits (at most/at least).+ Show more

Learning Objectives

• Understand and apply formulas for calculating the area of composite shapes.
• Calculate the volume of rectangular prisms and cylinders using given measurements.
• Interpret how shape properties influence measurement strategies in real-world contexts.+ Show more

Learning Objectives

• Explain what unit rate means as a ratio with a denominator of 1
• Compute unit rate by dividing the two quantities and keeping track of units
• Use unit rate to find costs/distances for other amounts and to compare rates

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

• Use inverse operations to follow and justify step-by-step equation-solving algorithms
• Check whether a proposed output from an algorithm is correct by substituting back into the original rule
• Translate simple algorithm descriptions into algebraic expressions and compute results+ Show more

Learning Objectives

• Apply derivatives to analyze velocity and acceleration in physical systems.
• Interpret the rate of change of quantities in real-world contexts.
• Solve related rates problems involving motion and measurements.+ Show more

Learning Objectives

• Understand the concept of implicit differentiation and when it is applied
• Apply implicit differentiation to find derivatives of implicitly defined functions
• Interpret derivatives at points on curves defined by relations involving both variables+ Show more

Learning Objectives

• Understand how to apply step-by-step algorithms to solve algebraic problems.
• Develop logical reasoning skills to interpret and evaluate solution sequences.
• Practice translating real-world problems into mathematical procedures.+ 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 how to decompose complex shapes into basic geometric figures to find their area.
• Apply the concept of summing areas of decomposed parts in real-world contexts.
• Develop problem-solving skills through multi-step reasoning involving measurements and calculations.+ Show more

Learning Objectives

• Calculate simple and compound interest for various financial situations.
• Interpret interest rates and compare different savings and loan options.
• Apply mathematical reasoning to evaluate the best financial choices based on interest outcomes.+ Show more

Learning Objectives

• Apply mathematical reasoning to solve real-world financial problems.
• Analyze data and interpret percentages in budgeting scenarios.
• Develop problem-solving skills through multi-step financial calculations.+ Show more

Learning Objectives

• Understand how to plot points and figures on the coordinate plane.
• Calculate distances and midpoints between points.
• Interpret geometric relationships such as congruence, symmetry, and similarity using coordinates.+ Show more

Learning Objectives

• Understand the concept of ratios and how to express them in different forms.
• Apply ratios to solve real-world problems involving measurements, shopping, and data.
• Use proportional reasoning techniques such as setting up and solving proportions.+ 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

• Use the definition i² = −1 to simplify expressions involving i
• Calculate powers of i (e.g., i³, i⁴, i⁵, i⁶) using patterns from i² = −1
• Simplify products and squares of expressions containing i (including (a+b)(a−b) forms)+ 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

• Express complex numbers in the form a + bi and identify the real part a and imaginary coefficient b
• Rewrite expressions involving i into standard complex form a + bi
• Interpret and use the values of a and b to understand properties of complex numbers+ Show more

Learning Objectives

• Understand how shifts, stretches, and reflections affect the basic trigonometric graphs.
• Apply transformations to equations of sine, cosine, and tangent functions to model real-world periodic phenomena.
• Interpret the graphical effects of algebraic modifications on trigonometric functions and relate these to practical contexts.+ Show more

Learning Objectives

• Understand how geometric transformations affect the graphs of functions.
• Apply translation, stretching, and reflection concepts to analyze function graphs.
• Calculate the effects of transformations on key features such as domain, range, and symmetry.+ 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

• Translate real-world rate statements into numerical ratios and simple equations.
• Use unit rates to predict outcomes for new quantities in a situation.
• Check that a rate statement matches the quantities given and interpret what is changing over time or quantity.

Learning Objectives

• Formulate and interpret linear models based on real-world data.
• Apply algebraic concepts to solve practical problems involving budgeting, travel, and business analysis.
• Evaluate the suitability of different linear models in real-life scenarios.+ 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

• Understand the concept of bias and how it affects data validity.
• Apply mathematical reasoning to evaluate sampling methods and data accuracy.
• Perform calculations involving percentages, proportions, and data interpretation in real-world scenarios.+ Show more

Learning Objectives

• Identify lines of symmetry in geometric figures.
• Calculate angles of rotation required for symmetry.
• Apply symmetry concepts to real-world design and patterns.+ Show more

Learning Objectives

• Interpret different types of data displays such as bar graphs, line plots, and pie charts.
• Compare the effectiveness of various data presentation formats in conveying trends and patterns.
• Apply mathematical reasoning to analyze and interpret data in real-world contexts.+ Show more

Learning Objectives

• Use values from a table to find a unit rate (the amount for 1 unit).
• Fill in missing table entries using a constant rate or consistent conversion.
• Interpret table rows as equivalent rate comparisons and explain the method.

Learning Objectives

• Understand how to apply the Law of Sines to solve for missing sides or angles in triangles.
• Interpret real-world problems involving non-right triangles using the Law of Sines.
• Perform multi-step calculations accurately applying the sine law in various contexts.+ 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

• Understand how derivatives are used to find critical points in optimization problems.
• Apply second derivative tests to determine local maxima and minima of functions.
• Solve real-world optimization problems involving areas, volumes, and economic profits.+ Show more

Learning Objectives

• Combine like terms to simplify algebraic expressions
• Use the distributive property to simplify expressions
• Factor out a common factor to rewrite expressions in simpler equivalent forms+ Show more

Learning Objectives

• Understand how to compare the benefits and costs of different financial options using mathematical calculations.
• Apply percentage calculations to determine total costs and savings over time.
• Interpret real-world financial scenarios to make informed decisions.+ Show more

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 represent real-world situations using algebraic and graphical models.
• Compare the effectiveness of different modeling methods in context-based problems.
• Justify appropriate modeling choices based on accuracy, clarity, and relevance.+ Show more

Learning Objectives

• Use estimation to judge whether a financial decision is reasonable
• Compare options using calculations and reasonableness checks
• Use inequalities to decide if spending fits within a budget+ Show more

Learning Objectives

• Understand the principles of simple interest and how savings grow over time.
• Apply interest calculation formulas to real-world saving scenarios.
• Interpret data related to savings and interest to make financial decisions.+ Show more