Grade 11 Maths Worksheets

Learning Objectives

• Use unit conversion factors written as ratios to cancel unwanted units
• Convert quantities that include derived units (e.g., speed, density, area, volume per time)
• Apply a multi-step conversion chain while keeping units consistent throughout

Learning Objectives

• Choose appropriate quantities and definitions so that a model’s calculated values represent the intended measurements.
• Read and interpret values accurately from absolute value graphs and linear inequality graphs used in quantity modeling.
• Justify whether a given point or computed value is consistent with a model (including strict vs inclusive conditions).

Learning Objectives

• Convert between radical notation and rational exponent notation using a^(1/n)=ⁿ√(a)
• Rewrite expressions like √(a^m) and ∛(a^m) as a^(m/n) (and vice versa) using exponent rules
• Simplify expressions by applying rational exponent laws after conversion+ Show more

Learning Objectives

• Compare two data distributions using their center, spread, and shape.
• Interpret how differences in mean/median and measures of spread (range/IQR) affect conclusions.
• Use skewness and outliers to explain why summary statistics may differ between two data sets.

Learning Objectives

• Explain how random sampling and sampling variability affect statistical conclusions.
• Distinguish between a population parameter and a sample statistic when making inferences.
• Interpret confidence intervals as estimates that reflect uncertainty, not exact values.+ Show more

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

• Translate real situations into inequalities that describe feasible (allowed) variable values.
• Interpret the meaning of solutions by checking whether candidate points satisfy all constraints at once.
• Use boundary cases (where equality holds) correctly for both strict and inclusive inequalities.+ 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

• Identify the parameters a and b in an exponential function f(x)=a·b^x
• Construct an exponential model from initial value and growth/decay factor
• Use the model to make predictions by evaluating f(x) for given x

Learning Objectives

• Rearrange algebraic formulas to isolate a chosen variable using inverse operations.
• Maintain algebraic equivalence by performing the same operation to both sides of an equation.
• Substitute into rearranged formulas accurately and interpret results using constraints (e.g., non-zero denominators, non-negative roots).

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

• Apply principles of perimeter, area, and volume in complex measurement problems.
• Utilize scale conversions accurately in architectural model design.
• Develop multi-step reasoning skills for real-world measurement applications.+ Show more

Learning Objectives

• Understand the relationship between angle measures and trigonometric values on the unit circle.
• Apply geometric interpretations of sine, cosine, and tangent in various quadrants.
• Analyze symmetry properties and periodicity of trigonometric functions.+ Show more

Learning Objectives

• Understand the concept of scaling and proportional relationships.
• Apply ratios to interpret scaled measurements in real-world contexts.
• Perform multi-step calculations involving scaling factors and measurements.+ Show more

Learning Objectives

• Apply proportional reasoning to adjust ingredient quantities in recipes.
• Interpret ratios and proportions to maintain recipe consistency during scaling.
• Solve multi-step problems involving ratios, percentages, and measurements in practical contexts.+ Show more

Learning Objectives

• Understand and interpret proportional relationships in real-world problems.
• Apply indirect measurement techniques to estimate distances, heights, or lengths.
• Develop mathematical reasoning skills through multi-step problem-solving scenarios.+ Show more

Learning Objectives

• Interpret and evaluate function notation in various representations.
• Apply function composition and inverse functions to analyze real-world data.
• Solve multi-step problems involving function calculations and interpretations.+ Show more

Learning Objectives

• Understand the concept of inverse functions, particularly between exponential and logarithmic functions.
• Apply algebraic techniques to find inverse functions and solve exponential and logarithmic equations.
• Interpret graphs of inverse functions and relate their properties.+ Show more

Learning Objectives

• Understand the concept of complex roots in quadratic and polynomial functions.
• Apply formulas to find complex roots of quadratic equations.
• Analyze how complex roots influence the graph and behavior of polynomial functions.+ Show more

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

• Understand how to solve exponential equations using logarithms.
• Apply properties of logarithms to simplify and solve complex problems.
• Interpret the relationship between exponential and logarithmic forms in real-world contexts.+ Show more

Learning Objectives

• Understand how to convert between fractions, decimals, and percentages.
• Apply percentage calculations to real-world scenarios such as discounts and markups.
• Develop problem-solving skills involving multi-step percentage calculations.+ Show more

Learning Objectives

• Understand the structure of polynomial functions and identify their roots.
• Apply algebraic factorization to find roots and their multiplicities.
• Analyze how roots influence the graph of polynomial functions and interpret their real-world applications.+ 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

• Understand and interpret average rates of change in various contexts.
• Calculate average rates from function graphs and tables.
• Relate average rates to slopes of segments on graphs.+ Show more

Learning Objectives

• Understand the properties of linear functions, including slope and intercepts.
• Apply algebraic and graphical methods to analyze linear relationships.
• Interpret linear functions in real-world contexts like distance-time graphs and budgeting.+ Show more

Learning Objectives

• Understand and interpret different scale ratios in technical drawings.
• Apply scale conversions to determine real-world object dimensions.
• Analyze how scale affects perception and measurement accuracy in plans.+ Show more

Learning Objectives

• Understand the characteristics of linear relations and their graphical representations.
• Apply algebraic methods to solve systems of linear equations using substitution and elimination.
• Interpret the solutions of linear systems within real-world contexts.+ Show more

Learning Objectives

• Understand the concept of exponential growth in real-world contexts.
• Apply exponential functions to calculate growth over time.
• Interpret parameters in exponential models to analyze change.+ 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

• Understand the concept of function composition and how outputs become inputs of other functions.
• Perform calculations involving the composition of linear and quadratic functions.
• Interpret the effects of function composition on the domain, range, and key features of functions.+ Show more

Learning Objectives

• Understand different methods of calculating wages and salaries, including hourly, salary, and piecework pay structures.
• Interpret payroll data, including deductions and bonuses, to determine total earnings.
• Apply mathematical reasoning to solve real-world wage scenarios involving percentages, multiplication, and multi-step calculations.+ Show more

Learning Objectives

• Develop proficiency in solving polynomial equations algebraically, including higher-degree polynomials.
• Apply techniques such as factoring, polynomial division, and clearing denominators to find solutions.
• Interpret algebraic solutions in the context of graph behavior, roots, and asymptotes.+ Show more

Learning Objectives

• Understand the concept of the domain of functions and how it affects their behavior.
• Apply domain restrictions to different types of functions in real-world contexts.
• Interpret function graphs and determine their appropriate domains based on key features.+ Show more

Learning Objectives

• Calculate simple interest using the formula I = P × R × T.
• Interpret and compare interest earned and paid in different financial scenarios.
• Convert amounts between different currencies using current exchange rates.+ Show more

Learning Objectives

• Calculate and interpret interest, percentages, and financial gains or losses.
• Apply mathematical reasoning to evaluate different financial choices.
• Analyze real-world financial scenarios involving saving, borrowing, and investing.

Learning Objectives

• Calculate the area of various geometric shapes and understand their applications in real-world contexts.
• Determine the volume of different objects, including rectangular prisms and cylinders, for practical purposes.
• Compare measurement strategies such as unit conversions and approximation methods to improve accuracy.+ Show more

Learning Objectives

• Understand the key properties of various functions, including domain, range, intercepts, and monotonic intervals.
• Apply algebraic, graphical, and tabular techniques to analyze functions like exponential, logarithmic, and rational functions.
• Interpret the real-world significance of key function properties in practical scenarios such as budgeting, measurements, and data analysis.+ Show more

Learning Objectives

• Understand how basic transformations affect the graph of a function.
• Apply shifts, reflections, stretches, and compressions to different functions.
• Analyze the effects of transformations on key features like domain, range, vertices, and intercepts.+ 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

• Understand the concept of compound interest and how it differs from simple interest.
• Calculate the future value of investments using compound interest formulas.
• Apply compound interest to real-world scenarios such as savings growth and loan repayments.+ Show more

Learning Objectives

• Apply mathematical concepts to real-world budgeting scenarios.
• Perform calculations involving percentages, interest, and total expenses.
• Interpret financial data to make informed budgeting decisions.+ Show more

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 and apply polynomial long division and synthetic division methods.
• Relate polynomial division to factors and roots of equations.
• Solve higher-degree polynomial equations using division and factorization techniques.+ Show more

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

• Understand and perform algebraic expansion of expressions.
• Factor algebraic expressions to simplify or solve equations.
• Rearrange and manipulate algebraic formulas for problem-solving.+ Show more

Learning Objectives

• Understand how translations, reflections, stretches, and compressions affect the graphs of linear, quadratic, and exponential functions.
• Apply algebraic transformations to modify and interpret the equations of functions in real-world contexts.
• Analyze the effect of graphical transformations on key features such as intercepts, vertices, and symmetry.+ Show more

Learning Objectives

• Understand the concept of instantaneous rate of change using derivatives.
• Calculate the slope of a tangent line at a specific point on a curve.
• Apply differentiation techniques to polynomial and exponential functions.+ Show more