Maths Worksheets

Learning Objectives

• Apply probability concepts to practical scenarios such as finance, sports, and engineering.
• Calculate expected values and interpret probability distributions in real-world contexts.
• Develop problem-solving skills involving multi-step probability calculations and data analysis.+ Show more

Learning Objectives

• Understand how to identify and interpret asymptotes in rational functions.
• Apply algebraic techniques to simplify rational expressions and find zeros and holes.
• Analyze the behavior of rational functions near asymptotes and zeros.+ Show more

Learning Objectives

• Understand the properties and characteristics of rational functions, including asymptotes and domain.
• Apply algebraic methods to find asymptotes and analyze end behavior of rational functions.
• Interpret the graphical features of rational functions through calculations and reasoning.+ Show more

Learning Objectives

• Develop strategies for evaluating multi-step rational expressions accurately.
• Apply order of operations to complex expressions involving fractions and mixed operations.
• Interpret real-world data through the analysis of rational expressions related to budgeting and measurements.+ Show more

Learning Objectives

• Use the formula for the area of a triangle, A = (1/2) · b · h, where h is the perpendicular height to the base b.
• Read base and perpendicular height values from a triangle diagram and compute the triangle’s area.
• Find a missing base or height using the triangle area formula by setting up and solving an equation.+ Show more

Learning Objectives

• Understand the methods for calculating the surface area of prisms by analyzing their faces and lateral surfaces.
• Apply geometric formulas to find the surface area of different types of prisms in real-world contexts.
• Develop problem-solving skills through multi-step reasoning involving surface area calculations.+ Show more

Learning Objectives

• Choose the correct trigonometric ratio (sin, cos, or tan) based on which sides are given relative to an acute angle in a right triangle
• Use trigonometric ratios to calculate missing side lengths and acute angle measures in right triangles
• Justify computations by relating the chosen ratio to opposite, adjacent, and hypotenuse sides

Learning Objectives

• Factorise quadratics into the form (x − r)(x − s)
• Use the zero-product property to find solutions of (x − r)(x − s) = 0
• Interpret the number and location of solutions from the factors

Learning Objectives

• Interpret what a factor does to the value of an expression (multiplying a whole quantity).
• Use coefficients to explain how scaling changes an output.
• Interpret exponents as repeated multiplication and apply this meaning in expressions.+ Show more

Learning Objectives

• Write a polynomial function in factored form from given zeros and multiplicities
• Use multiplicity to determine whether the graph crosses or bounces at each x-intercept
• Determine end behavior from the degree and leading coefficient of a factored polynomial

Learning Objectives

• Identify the role of coefficients and constant terms in algebraic expressions
• Explain how each part of an expression affects the overall value in context
• Use structure (addition and multiplication in particular) to simplify and interpret expressions+ Show more

Learning Objectives

• Understand how to assess income and expenses for personal budgeting.
• Apply mathematical calculations to determine savings and financial goals.
• Interpret data related to income sources and expenditure patterns.+ Show more

Learning Objectives

• Solve quadratic equations in one variable by factoring or using algebraic methods
• Connect the zeros of a quadratic to the x-intercepts of its graph
• Use the discriminant to predict the number of real solutions and x-intersections

Learning Objectives

• Understand how to create and interpret trigonometric models for periodic phenomena.
• Apply trigonometric functions to real-world oscillation problems.
• Analyze the relationship between angles on the unit circle and function values.+ Show more

Learning Objectives

• Understand the concept of similar figures and their properties.
• Apply ratios and proportions to solve problems involving similar shapes.
• Perform scale calculations to determine missing side lengths in similar figures.+ Show more

Learning Objectives

• Use the AA triangle similarity criterion to decide when two triangles are similar from angle information.
• Identify corresponding vertices and corresponding sides when triangles are similar.
• Use proportional side relationships from similarity to find missing side lengths.

Learning Objectives

• Distinguish between short-term and long-term savings and explain how regular saving supports financial stability.
• Solve and interpret saving problems using addition, multiplication, and money goal constraints.
• Read information from bar graphs and line plots to answer questions about saving goals.

Learning Objectives

• Use the power of a power rule to simplify expressions with exponents raised to other exponents.
• Use product and quotient rules for powers to combine or divide exponential terms.
• Convert between radicals and rational exponents correctly, including negative exponents.+ Show more

Learning Objectives

• Understand how algebraic, graphical, and tabular forms represent linear relations.
• Interpret different forms to analyze the properties of linear models.
• Apply concepts of linear relations to solve real-world problems involving measurement, budgeting, and data interpretation.+ Show more

Learning Objectives

• Calculate and compare interest earned from different savings accounts and investment vehicles.
• Analyze loan terms and interest rates to determine the most cost-effective option.
• Apply percentage calculations to real-world financial scenarios.+ Show more

Learning Objectives

• Understand the concept of variables in algebraic expressions.
• Formulate and interpret algebraic expressions based on problem situations.
• Simplify algebraic expressions and evaluate them with given values.+ Show more

Learning Objectives

• Apply exponential and logarithmic models to interpret real-world data scenarios.
• Calculate model parameters and assess their relevance in practical contexts.
• Analyze the implications of exponential decay and growth in applications like finance and science.+ Show more

Learning Objectives

• Expand algebraic expressions using the distributive property
• Simplify expressions by combining like terms
• Factor expressions into equivalent forms when appropriate+ Show more

Learning Objectives

• Understand and apply the fundamental principles of counting in real-world scenarios.
• Calculate the total number of outcomes for combined independent events.
• Interpret and solve problems involving permutations and combinations.+ Show more

Learning Objectives

• Understand the relationship between points on the unit circle and sine and cosine values.
• Calculate sine and cosine for given angles in degrees and radians.
• Explain the periodic nature of sine and cosine functions using the unit circle.+ Show more

Learning Objectives

• Identify and evaluate different problem-solving strategies used in mathematics.
• Apply logical reasoning and visual methods to solve complex problems.
• Select appropriate strategies for various mathematical challenges.+ Show more

Learning Objectives

• Apply percentage calculations to real-world problems involving discounts, taxes, and interest.
• Interpret the meaning of percent ratios and analyze how changing bases or rates affects outcomes.
• Develop problem-solving strategies for verifying the reasonableness of percentage calculations.+ 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

• Interpret a fraction division statement (a/b) ÷ (c/d) as how many copies of (c/d) fit into (a/b)
• Use a tape diagram to represent fraction division and determine the quotient
• Solve simple equations that model fraction division as repeated equal-size pieces+ 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

• Develop clear and logical written explanations for mathematical problems.
• Interpret diagrams and verbal descriptions to communicate reasoning effectively.
• Apply reasoning strategies to solve multi-step problems in real-world contexts.+ Show more

Learning Objectives

• Apply self-regulation strategies to stay focused during problem-solving tasks.
• Interpret data related to attention and persistence in mathematical contexts.
• Solve real-world math problems involving percentages, measurements, and budgeting.+ Show more

Learning Objectives

• Understand the standard form of a circle equation and identify the center and radius from it.
• Apply the equation of a circle to solve real-world problems involving distance and geometric relationships.
• Interpret and analyze how the algebraic form of a circle relates to its geometric properties, including symmetry and tangents.+ Show more

Learning Objectives

• Understand basic probability concepts through simple experiments such as coin flips and dice rolls.
• Calculate theoretical and experimental probabilities of specific outcomes.
• Apply probability models to real-world scenarios involving chance and uncertainty.+ Show more

Learning Objectives

• Understand different methods for solving systems of linear equations, including graphing, substitution, and elimination.
• Apply algebraic techniques to find solutions of systems in real-world contexts such as budgeting or resource allocation.
• Analyze and interpret the conditions for systems with unique, infinite, or no solutions.

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

• Understand and apply inverse operations to solve single-variable linear equations.
• Evaluate the reasonableness of solutions within real-world contexts.
• Develop confidence in algebraic problem-solving and reasoning skills.+ Show more

Learning Objectives

• Understand how to identify the hypotenuse and legs in a right triangle.
• Apply sine, cosine, and tangent ratios to find missing side lengths or angles.
• Interpret real-world problems involving right triangles and solve using trigonometry.+ Show more

Learning Objectives

• Evaluate functions by substituting an input value into a given function rule.
• Use a function graph to find outputs for specific inputs.
• Solve for the input when an output value is given for an absolute value function.+ Show more

Learning Objectives

• Understand and apply the product, quotient, and power rules of logarithms.
• Simplify logarithmic expressions and solve exponential equations using logarithmic properties.
• Relate logarithms to real-world contexts such as scientific measurements and financial calculations.+ Show more

Learning Objectives

• Understand different types of discontinuities in functions and their characteristics.
• Apply graphical and analytical methods to identify and classify discontinuities.
• Solve real-world problems involving functions with points of discontinuity.+ Show more

Learning Objectives

• Develop skills in interpreting community data sets through calculations and analysis.
• Understand and evaluate data distributions, averages, and variability in real-world contexts.
• Apply mathematical reasoning to assess the reliability and limitations of data used for community decisions.+ Show more

Learning Objectives

• Understand how data patterns influence measures of variability.
• Calculate and interpret measures of spread such as range and standard deviation.
• Compare data sets with similar central tendencies but different variability to assess data stability.+ Show more

Learning Objectives

• Interpret and analyze data representations such as graphs and charts.
• Calculate statistical measures like averages, percentages, and growth rates.
• Apply data analysis skills to real-world scenarios involving business, finance, and daily decisions.+ Show more

Learning Objectives

• Calculate the mean, median, and mode of various data sets.
• Compare and interpret measures of central tendency in real-world contexts.
• Apply measures of central tendency to analyze data from surveys, test scores, and measurements.+ Show more

Learning Objectives

• Explain why opposite rational numbers are the same distance from 0 using absolute value
• Find absolute values for positive and negative rational numbers shown on a number line
• Use opposite relationships to compare absolute values and distances on a number line

Learning Objectives

• Read ratio relationships from tape (strip) diagrams by using the part counts as equal ratio groups.
• Scale a diagram to find equivalent ratios and missing quantities while keeping the same comparison units.
• Use diagram reasoning to determine missing values in totals and part-to-part comparisons.

Learning Objectives

• Understand how to disassemble complex shapes into simpler solids to find volume.
• Apply formulas for the volume of rectangular prisms and cylinders.
• Develop spatial reasoning skills to visualize composite shapes and calculate their total volume.+ Show more