Maths Worksheets

Learning Objectives

• Identify appropriate mathematical representations such as graphs, equations, and models for different types of problems.
• Analyze how choosing different representations can enhance understanding and problem-solving strategies.
• Apply various representations to interpret data, solve problems, and communicate mathematical ideas effectively.+ Show more

Learning Objectives

• Identify the rule that generates terms in a numeric pattern
• Use algebraic expressions to describe linear and geometric pattern rules
• Translate between a pattern rule and a condition using inequalities+ Show more

Learning Objectives

• Analyze marketing claims related to credit cards, loans, and savings plans.
• Calculate and compare interest rates and costs to evaluate financial benefits.
• Interpret advertised benefits using mathematical reasoning.+ Show more

Learning Objectives

• Understand how equations represent real-world physical situations in coordinate geometry.
• Apply algebraic and geometric methods to interpret and solve relation-based problems.
• Develop critical reasoning skills to verify solutions and assess the accuracy of models in practical contexts.+ Show more

Learning Objectives

• Clear denominators in rational equations to form equivalent polynomial (often quadratic) equations
• Identify excluded values (values that make denominators zero) when solving rational equations
• Solve the resulting quadratic and check candidate solutions against excluded values

Learning Objectives

• Create and use expressions for simple budgets involving income and expenses
• Solve one-step equations connected to saving and spending plans
• Compare saving and spending outcomes using percentages and fractions

Learning Objectives

• Identify the degree and leading coefficient of a polynomial and use them to describe end behavior
• Use factored form to find x-intercepts (zeros) and determine whether the graph crosses or touches the x-axis from factor multiplicity
• Determine key turning-point information using derivatives (critical points) for polynomial functions+ Show more

Learning Objectives

• Identify how exponential growth changes multiplicatively from one step to the next.
• Compare exponential and linear patterns to determine which grows faster and when a crossover occurs.
• Use limits to describe long-term behavior of exponential decay toward a nonzero value.

Learning Objectives

• Distinguish linear change from exponential growth/decay using constant difference versus constant percent change
• Interpret tables to decide whether data are better modeled by a linear trend or exponential behavior
• Use percent change to predict future values in exponential growth/decay situations

Learning Objectives

• Understand how to calculate the perimeter of various shapes in practical contexts.
• Apply measurement strategies to real-world fencing and construction problems.
• Develop problem-solving skills for multi-step perimeter calculations involving different shapes.+ Show more

Learning Objectives

• Identify what coefficients, factors, and exponents represent in an algebraic expression.
• Interpret how changing parts of an expression changes the quantity described in a context.
• Translate between worded descriptions and algebraic expressions using correct structure.+ Show more

Learning Objectives

• Understand the concept of sequences and patterns in mathematics.
• Apply rules and formulas to generate and analyze sequences.
• Use sequences to model real-world situations and introduce basic coding concepts.+ Show more

Learning Objectives

• Evaluate function notation such as f(x) by substituting an input value and simplifying to find the output.
• Interpret statements like f(a) = b to describe what output b corresponds to for the input a in context.
• Connect the input (the value inside f( )) and the output (the value of f( )) correctly when reading and writing function values.

Learning Objectives

• Understand different types of mathematical models such as linear equations and geometric representations.
• Apply mathematical reasoning to interpret data and predict outcomes in real-world scenarios.
• Evaluate the accuracy and limitations of various modeling techniques.+ Show more

Learning Objectives

• Understand methods for transforming algebraic expressions, including expanding, factoring, and simplifying.
• Evaluate the equivalence of different forms of expressions and their application in solving problems.
• Apply properties of operations to justify algebraic transformations.+ Show more

Learning Objectives

• Calculate and compare costs associated with different payment options including fees and interest.
• Apply percentages to determine transaction fees and interest charges in real-world scenarios.
• Interpret financial data to make responsible payment choices based on cost-benefit analysis.+ Show more

Learning Objectives

• Understand the concept of simple interest and how it is calculated.
• Apply interest formulas to real-world scenarios involving savings and loans.
• Interpret interest rates and assess their impact on financial decisions.+ Show more

Learning Objectives

• Interpret solution sets for equations and inequalities in the context of a problem statement
• Use equivalent algebraic forms to keep the same meaning when modelling and interpreting results
• Match inequality solution direction to words like “at least” and “no more than”

Learning Objectives

• Understand the construction of composite trigonometric functions and interpret their graphical properties.
• Apply trigonometric identities and the unit circle to analyze phase shifts and combined functions.
• Solve real-world problems involving periodic phenomena using advanced trigonometric models.+ Show more

Learning Objectives

• Apply trigonometric functions to analyze real-world periodic phenomena.
• Interpret parameters such as amplitude, phase shift, and frequency in modeling scenarios.
• Solve multi-step problems involving modeling cyclic behavior in physics and engineering.+ Show more

Learning Objectives

• Interpret fractions as division of the numerator by the denominator.
• Identify division expressions represented by given fractions.
• Calculate fractional quotients in equal-sharing word problems.+ Show more

Learning Objectives

• Calculate products of fractions and whole numbers accurately.
• Represent fraction multiplication using repeated addition equations.
• Interpret fraction bar models showing repeated fractional quantities.+ Show more

Learning Objectives

• Calculate products by multiplying fraction numerators and denominators.
• Interpret fraction multiplication as taking part of another fraction.
• Identify overlapping regions in rectangular fraction area models.+ Show more

Learning Objectives

• Construct line plots using halves, fourths, and eighths.
• Identify appropriate fractional intervals for a number line.
• Organise repeated measurements into accurate frequency groups.+ Show more

Learning Objectives

• Identify equivalent measurements within the customary measurement system.
• Convert between inches, feet, yards, and miles.
• Calculate equivalent liquid capacities using customary units.+ Show more

Learning Objectives

• Convert between metric units of length using base-ten relationships.
• Calculate equivalent masses in kilograms and grams.
• Convert capacities between litres and millilitres.+ Show more

Learning Objectives

• Convert metric lengths between kilometers, meters and centimeters.
• Calculate equivalent masses using kilograms and grams.
• Convert liquid capacities between liters and milliliters.+ Show more

Learning Objectives

• Identify repeated measurements and frequencies in line plot data.
• Interpret fractional measurement data involving halves, fourths, and eighths.
• Calculate the range of a set of fractional measurements.+ Show more

Learning Objectives

• Identify volume as the space occupied by a solid figure.
• Recognize cubic units as measurements of three-dimensional space.
• Count unit cubes arranged in equal layers.+ Show more

Learning Objectives

• Calculate rectangular prism volumes using length × width × height.
• Identify the separate rectangular prisms forming a composite solid.
• Add individual prism volumes to calculate total composite volume.+ Show more

Learning Objectives

• Explain how unit cubes and equal layers represent volume.
• Identify the length, width and height of rectangular prisms.
• Calculate rectangular prism volume using length × width × height.+ Show more

Learning Objectives

• Generate numerical patterns from given starting values and addition rules.
• Identify relationships between corresponding terms in two number patterns.
• Compare additive and multiplicative relationships between numerical sequences.+ Show more

Learning Objectives

• Generate numerical patterns using given starting values and addition rules.
• Calculate corresponding terms in two related numerical sequences.
• Determine outputs using given input-output operation rules.+ Show more

Learning Objectives

• Identify the x-coordinate and y-coordinate in an ordered pair.
• Interpret coordinates as horizontal and vertical distances from the origin.
• Describe first-quadrant point locations using coordinate movements.+ Show more

Learning Objectives

• Identify the horizontal x-axis and vertical y-axis on coordinate planes.
• Locate the origin and recognise its coordinates as (0, 0).
• Distinguish x-coordinate values from y-coordinate values in ordered pairs.+ Show more

Learning Objectives

• Identify x- and y-coordinates in first-quadrant ordered pairs.
• Determine ordered pairs from horizontal and vertical movements.
• Interpret coordinate values to describe locations on maps.+ Show more

Learning Objectives

• Generate corresponding terms from two numerical patterns.
• Construct ordered pairs using matching terms from numerical sequences.
• Identify coordinate relationships on a first-quadrant graph.+ Show more

Learning Objectives

• Identify polygons using their defining geometric attributes.
• Classify quadrilaterals by sides, angles and parallel relationships.
• Compare properties of squares, rectangles, rhombuses and parallelograms.+ Show more

Learning Objectives

• Identify quadrilaterals using sides, angles, and parallel lines.
• Classify rectangles, rhombuses, squares, and parallelograms by their properties.
• Organise quadrilaterals into a hierarchy from general to specific.+ Show more

Learning Objectives

• Solve multi-step word problems involving whole numbers and decimals.
• Select appropriate arithmetic operations for real-world mathematical situations.
• Calculate decimal totals, differences, products, and quotients accurately.+ Show more

Learning Objectives

• Calculate sums and differences of fractions with unlike denominators.
• Solve multiplication problems involving fractions and mixed-number quantities.
• Divide whole-number measurements into equal fractional-sized portions.+ Show more

Learning Objectives

• Convert metric lengths, masses, and capacities between related units.
• Calculate rectangular prism volume using length, width, and height.
• Determine volume by reasoning about unit cubes.+ Show more

Learning Objectives

• Generate numerical sequences using addition and multiplication rules.
• Identify relationships between corresponding terms in two numerical patterns.
• Interpret ordered pairs using x-coordinates and y-coordinates.+ Show more

Learning Objectives

• Identify polygons using their numbers of sides and vertices.
• Classify quadrilaterals using angles, side lengths, and parallel sides.
• Compare the defining properties of squares, rectangles, and rhombuses.+ Show more

Learning Objectives

• Identify decimal place values and recognize equivalent decimal representations.
• Calculate products and quotients using whole numbers and decimals.
• Solve fraction addition and fraction division problems accurately.+ Show more

Learning Objectives

• Understand the different forms of numerical representations: fractions, decimals, and percents.
• Convert between fractions, decimals, and percents accurately in practical contexts.
• Evaluate the effectiveness of each representation in data interpretation and decision-making.+ Show more

Learning Objectives

• Interpret income sources and expenses to make informed financial decisions.
• Apply percentages and calculations to project future savings or expenditures.
• Analyze how different choices influence personal financial stability.+ Show more

Learning Objectives

• Calculate rectangular areas using fractional side lengths.
• Determine area by counting unit fraction tiles.
• Connect rectangular grid partitions to fraction multiplication equations.+ Show more