Grade 9 Maths Worksheets

Learning Objectives

• Interpret various data displays such as bar graphs, line plots, and histograms to understand data trends.
• Calculate and compare measures of center and spread from different data representations.
• Evaluate the effectiveness of data displays for communicating information in real-world contexts.+ Show more

Learning Objectives

• Understand and apply the correct order of operations in evaluating expressions.
• Calculate complex algebraic and numerical expressions accurately using procedural rules.
• Interpret real-world problems involving multiple operations and sequence of calculations.+ Show more

Learning Objectives

• Understand how geometric figures are represented in coordinate planes.
• Apply algebraic methods to analyze properties such as symmetry and congruence.
• Perform calculations involving distance, midpoints, and transformations in coordinate systems.+ 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 estimation techniques to verify solutions in real-world problems.
• Use estimation to interpret percentages, decimals, and fractions in practical scenarios.
• Develop quantitative reasoning by assessing the reasonableness of calculations.+ Show more

Learning Objectives

• Identify relative maxima and relative minima (turning points) from a function graph.
• Connect turning points to meaningful peaks and dips in the modeled quantity.
• Describe end behavior using output values as inputs become very large in magnitude or approach domain boundaries.

Learning Objectives

• Develop awareness of problem-solving strategies and evaluate their effectiveness.
• Apply self-monitoring techniques to assess the reasonableness of solutions.
• Improve mathematical reasoning by reflecting on chosen methods in real-world contexts.+ Show more

Learning Objectives

• Identify and select appropriate problem-solving strategies for various mathematical scenarios.
• Apply logical reasoning and calculations to analyze and compare different approaches.
• Evaluate the effectiveness of multiple strategies in practical contexts and justify the choice based on reasoning.+ Show more

Learning Objectives

• Apply mathematical reasoning to model and analyze financial scenarios.
• Calculate interest, savings growth, and expense impacts over time.
• Interpret financial data to make informed decisions.+ Show more

Learning Objectives

• Interpret data sets to identify patterns and relationships.
• Apply mathematical reasoning to analyze trends in data.
• Use line graphs and scatter plots to interpret data changes.+ Show more

Learning Objectives

• Understand the properties and characteristics of polygons and three-dimensional figures.
• Apply coordinate geometry and transformational concepts to analyze shapes.
• Perform calculations involving angles, perimeters, and areas of polygons and solids.+ Show more

Learning Objectives

• Recognize difference of squares and perfect square trinomial patterns
• Rewrite polynomials into equivalent factored (product) forms using identities
• Use factored forms to identify when a polynomial equals zero

Learning Objectives

• Develop strategic mathematical reasoning through collaborative discussion and problem-solving.
• Apply computation and interpretation skills in real-world contexts involving percentages, measurements, and data analysis.
• Enhance understanding of multi-step problem solving by sharing reasoning and debating strategies.+ Show more

Learning Objectives

• Understand how programming constructs can represent linear relationships.
• Apply coding techniques to solve and interpret linear models in real-world scenarios.
• Develop mathematical reasoning to analyze the effectiveness of computational representations.+ Show more

Learning Objectives

• Interpret key features of a graph (points, slope/shape, vertex) to determine a function rule.
• Use coordinate pairs on a graph to find an explicit equation and describe how outputs change as inputs change.
• Use the domain shown by the graph when applying the model beyond the plotted points.

Learning Objectives

• Identify typical values (centre) such as the median and mode from line plots and box plots.
• Interpret spread (range and IQR) to describe variability and how it affects reliability or risk in real contexts.
• Use shape features (skewness, clustering, and gaps) and outliers to explain differences between data sets.

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

• Interpret and perform operations with integers, fractions, decimals, and percents in real-world contexts.
• Develop reasoning skills to describe outcomes and analyze the significance of numerical manipulations.
• Apply mathematical concepts to practical scenarios involving budgeting, measurements, and data interpretation.

Learning Objectives

• Understand and identify supplementary, complementary, and vertical angles in geometric figures.
• Apply angle properties to solve real-world problems involving polygons and intersecting lines.
• Calculate unknown angles in various geometric configurations using angle relationships.+ Show more

Learning Objectives

• Understand different representations of linear relationships, including equations, tables, and graphs.
• Interpret and analyze the strengths and limitations of various models for problem-solving.
• Apply mathematical reasoning to compare models in real-world contexts.+ Show more

Learning Objectives

• Apply mathematical calculations to analyze different budgeting options.
• Interpret financial data to make informed decisions about expenses and savings.
• Evaluate the effectiveness of various budgeting strategies through logical reasoning.+ Show more

Learning Objectives

• Interpret income sources and calculate total income.
• Create and analyze a basic personal budget plan.
• Apply percentages to determine expenses and savings.+ Show more

Learning Objectives

• Translate contextual statements about input and output into correct function notation (e.g., f(a)=b).
• Interpret given function values to explain what the model says about inputs and outputs.
• Evaluate function expressions at specified inputs to find outputs.

Learning Objectives

• Track units through multiplication and division to determine the unit of a derived quantity
• Identify the correct derived unit from a given formula and unit assignments
• Use unit checking to confirm whether an answer matches the situation

Learning Objectives

• Round measured or calculated values to the correct number of significant digits based on the precision of the measuring tool.
• Choose appropriate decimal places when adding or subtracting quantities measured with different accuracies.
• Use significant digits to make meaningful comparisons, including when values are written in scientific notation.+ Show more

Learning Objectives

• Use the rules for products involving rational numbers and irrational numbers
• Apply the “nonzero” condition when multiplying a rational number by an irrational number
• Classify expressions as rational or irrational without fully evaluating them

Learning Objectives

• Classify real numbers as rational or irrational
• Use the rule for sums to predict whether a sum is rational or irrational without full evaluation
• Reason about rationality patterns when adding rational and irrational numbers+ Show more

Learning Objectives

• Interpret what each variable in a formula represents by using unit reasoning
• Use a formula to calculate an output while checking that units are consistent
• Rewrite formulas and apply unit-based thinking to confirm constants and conversion factors

Learning Objectives

• Describe how a dilation scales distances from a fixed center using a scale factor
• Find the image of points under a dilation using coordinates and the scale factor
• Use dilation properties to reason about proportional segments, preserved angles, and parallel lines

Learning Objectives

• Use the distance formula to find the length of a segment between two points on a coordinate plane
• Compute horizontal and vertical changes (Δx and Δy) and substitute them into the distance formula
• Interpret squared differences to handle negative coordinates correctly

Learning Objectives

• Use the Inscribed Angle Theorem: an inscribed angle equals half the measure of the corresponding central angle that intercepts the same arc.
• Use the same-arc property: inscribed angles that intercept the same arc are congruent.
• Set up and solve simple equations to find unknown angle measures in circle diagrams.

Learning Objectives

• Understand basic probability concepts through experiments such as spinning a spinner and rolling dice.
• Apply probability calculations to interpret experimental results and compare them with theoretical predictions.
• Evaluate the assumptions and limitations of probability models in real-world contexts.+ Show more

Learning Objectives

• Evaluate combined functions such as (f+g)(x), (f-g)(x), (fg)(x), and (f/g)(x) at a given x-value.
• Write combined function rules in terms of f(x) and g(x), including simplifying when possible.
• Identify restrictions on x for (f/g)(x) when the denominator function equals 0.

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

• Identify complementary, supplementary, vertical, adjacent, and linear-pair angles
• Classify angle pairs formed by parallel lines and transversals
• Calculate unknown angle measures using geometric relationships+ Show more

Learning Objectives

• Identify corresponding sides, angles, and vertices in congruent triangles
• Write triangle congruence statements in the correct vertex order
• Apply SSS, SAS, ASA, AAS, and HL theorems+ Show more

Learning Objectives

• Identify opposite, adjacent, and hypotenuse sides in right triangles
• Select the correct trigonometric ratio for a given angle
• Calculate missing side lengths using sine, cosine, or tangent+ Show more

Learning Objectives

• Understand the structure and components of linear algebraic expressions.
• Apply algebraic expressions to solve real-world problems involving costs, distances, and measurements.
• Interpret tables and graphs representing linear relationships to analyze data.+ Show more

Learning Objectives

• Identify different representations of rational numbers in real-world contexts.
• Convert between fractions, decimals, and percentages accurately.
• Apply rational number concepts to solve practical problems involving shopping, budgeting, and data analysis.+ Show more

Learning Objectives

• Apply geometric principles to solve real-world measurement problems involving composite figures.
• Decompose complex figures to simplify calculations of area and volume.
• Use formulas accurately to find measurements in applied contexts.+ Show more

Learning Objectives

• Apply formulas to calculate the area of composite shapes.
• Determine the surface area of three-dimensional objects.
• Decompose complex figures into simpler shapes for measurement.+ Show more

Learning Objectives

• Factorise quadratic trinomials using integer factor pairs
• Use the factored form to solve quadratic equations
• Identify the zeros (solution values) from factored products

Learning Objectives

• Solve linear equations algebraically using different methods.
• Interpret solutions within real-world contexts such as budgeting and resource allocation.
• Validate reasonableness of solutions in practical scenarios.+ Show more

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

• 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

• Understand how to calculate experimental probabilities from data gathered through trials.
• Interpret data to compare experimental results with theoretical probabilities.
• Apply probability concepts to real-world scenarios involving randomness and sample size.+ 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

• Identify x-intercepts and y-intercepts from a coordinate grid by reading where a graph crosses the axes.
• Interpret x-intercepts as input values where the output equals 0 (zeros).
• Interpret the y-intercept as the output value when the input is 0.+ Show more