Grade 9 Maths Worksheets

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

• Analyze and compare different solution strategies for algebraic, geometric, and data-driven problems.
• Apply estimation techniques to assess the reasonableness and accuracy of solutions.
• Develop mathematical reasoning and justification practices when solving problems.+ 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

• 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

• Understand and identify different types of geometric transformations including translation, rotation, reflection, and dilation.
• Apply transformation rules to coordinate points and shapes to determine their new position, size, or orientation.
• Analyze properties of shapes under various transformations to recognize symmetry and congruence.+ Show more

Learning Objectives

• Understand how to compare prices and evaluate value for money in real-world scenarios.
• Apply unit price calculations to determine the most economical product option.
• Develop critical thinking skills in analyzing consumer choices based on cost per unit.+ Show more

Learning Objectives

• Read a dot plot (line plot with stacked markers) to determine frequencies for specific values.
• Interpret histogram-style information by using bin boundaries to count how many observations fall in each interval.
• Use bin width correctly when comparing how often values occur (clusters vs gaps).

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

• Analyze and compare the accuracy of different algebraic and graphical models in real-world problems.
• Apply criteria such as simplicity, fit, and interpretability to evaluate models.
• Use mathematical reasoning to justify the choice of a model based on data and context.+ Show more

Learning Objectives

• Apply compound interest formulas to financial scenarios.
• Interpret the effects of interest rate changes over long-term savings.
• Calculate accumulated savings with compound interest approximations.+ Show more

Learning Objectives

• Interpret and analyze data displays to draw valid conclusions.
• Calculate measures of central tendency and variability for data sets.
• Evaluate the reliability of data and the validity of conclusions drawn from analysis.+ Show more

Learning Objectives

• Understand how to interpret data trends using scatter plots and fitted lines.
• Analyze measures of data spread and their relation to outliers or anomalies.
• Select appropriate visualizations to effectively communicate relationships in data.+ 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 corresponding vertices, sides, and angles in congruent triangles
• Write correctly ordered triangle congruence statements
• Determine which triangle congruence theorem applies+ 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

• Identify the input and output variables from a table of reliable data pairs.
• Construct an explicit functional rule that matches the pattern in a table.
• Use the rule to predict output values for new inputs.

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

• 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

• 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

• 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 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

Learning Objectives

• Read a box plot to identify the five-number summary: minimum, Q1, median, Q3, and maximum.
• Calculate and interpret the interquartile range (IQR) from Q1 and Q3, including what it says about the middle 50% of the data.
• Use the 1.5 × IQR rule to identify outliers on a box plot.+ Show more

Learning Objectives

• Use box plots to compare the center (median) and spread (IQR) of two groups.
• Use line plots to compare typical values and variability between groups by describing where most data cluster.
• Make informal comparative inferences about populations using sample summaries, including uncertainty and the effect of outliers.

Learning Objectives

• Identify when two figures are similar using equal corresponding angles and proportional corresponding side lengths
• Use the scale factor between similar figures to find unknown side lengths
• Solve similarity problems involving proportional relationships and apply angle equality to find missing angles+ Show more

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

• 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

• Use function composition (f∘g)(x)=f(g(x)) to build a new function
• Evaluate composed functions for given inputs while respecting domain constraints
• Solve equations involving composed functions

Learning Objectives

• Use the Remainder Theorem to find the remainder when dividing a polynomial by (x − a)
• Evaluate p(a) quickly by substitution, without performing long division
• Use remainders to solve for unknown parameters inside a polynomial

Learning Objectives

• Use the Remainder Theorem to find the remainder when a polynomial is divided by a linear factor
• Convert remainder information into an equation involving p(a) and solve for unknown coefficients
• Check understanding by distinguishing correct and incorrect statements about remainders

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

• 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

• 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

• 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

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

• Understand how basic coding constructs can model linear relationships.
• Apply programming logic to solve algebraic problems.
• Interpret data visualizations generated through computational models.+ 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

• 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

• Develop skills to make quick and accurate estimations of numerical quantities.
• Apply estimation techniques to check the reasonableness of calculations in real-world contexts.
• Interpret data and results through approximation methods and compare with exact answers.+ 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

• Understand the operational significance of exponents in mathematical expressions.
• Calculate values involving powers and roots in real-world scenarios.
• Analyze the impact of exponential growth and decay in practical contexts.+ 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

• 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

• Develop strategies for performing calculations efficiently with integers, fractions, decimals, and percentages.
• Apply mental math and pattern recognition techniques to solve mathematical problems quickly.
• Use technological tools appropriately to interpret numerical outputs in real-world contexts.+ Show more

Learning Objectives

• Construct linear models from real-world data and scenarios.
• Translate contextual information into algebraic expressions and graphs.
• Interpret the meaning of solutions within practical contexts.+ Show more

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

• Understand how to compute powers and roots efficiently using mathematical strategies.
• Apply knowledge of exponents to solve real-world problems involving growth and scaling.
• Analyze how powers influence size and quantities in practical contexts like finance and patterns.+ Show more

Learning Objectives

• Understand and apply algebraic methods to solve linear equations.
• Interpret solutions of equations within real-world contexts such as budgeting and measurements.
• Develop problem-solving skills through multi-step reasoning and application.+ Show more

Learning Objectives

• Apply geometric formulas to calculate area, volume, and surface area in various contexts.
• Select and justify appropriate formulas for different problem scenarios.
• Assess the accuracy of results through unit analysis and reasonableness checks.+ Show more