Grade 11 Maths Worksheets

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

• 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

• 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

• Interpret the meaning of a logarithm as an exponent required to reach a target output.
• Use parameters (shifts and base) in logarithmic models to solve for unknown inputs.
• Relate changes in the base to changes in sensitivity (how quickly the output increases).

Learning Objectives

• Solve systems of two linear equations using substitution and elimination.
• Interpret a system’s solution as the intersection point that satisfies both equations at the same time.
• Check whether an ordered pair satisfies both equations in a system.+ Show more

Learning Objectives

• Understand different methods of data collection such as surveys and observations.
• Apply mathematical calculations to interpret data gathered from real-world scenarios.
• Develop reasoning skills related to sampling techniques and ethical considerations in data gathering.+ 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

• Understand how interest rates affect long-term savings and debt.
• Apply mathematical calculations to evaluate different payment plans and budgeting options.
• Interpret financial data and make informed decisions based on quantitative analysis.+ Show more

Learning Objectives

• Solve rational equations by clearing denominators and using domain restrictions
• Identify and reject extraneous solutions by checking answers in the original equation
• Write the set of values excluded by denominators and explain why they must be excluded

Learning Objectives

• Identify domain restrictions, including excluded x-values, from rational functions
• Determine vertical asymptotes and holes by factoring and checking canceled factors
• Find x- and y-intercepts by using zeros of the numerator with nonzero denominators+ Show more

Learning Objectives

• Convert between equivalent polynomial forms (expanded, factored, and vertex form) for quadratics
• Use factoring to identify zeros and x-intercepts of polynomial functions
• Use completing the square to rewrite quadratics in a form that reveals the vertex and maximum/minimum value+ Show more

Learning Objectives

• Write complex numbers in standard form a + bi and identify the real part a and imaginary part b
• Simplify expressions involving i using i^2 = -1
• Add and multiply complex numbers by combining real and imaginary parts correctly

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

• Add and subtract complex numbers by combining real parts with real parts and imaginary parts with imaginary parts
• Multiply complex numbers using distributive and associative laws before replacing i² with -1
• Rewrite results clearly in the form a + bi by collecting like terms

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

• Understand the concept of unit pricing and its importance in comparing product costs.
• Calculate and interpret unit prices from different package sizes and prices.
• Apply mathematical reasoning to evaluate the most cost-effective options in real-world shopping scenarios.+ 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 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

• 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

• 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

• Interpret data summaries to identify patterns, trends, and anomalies.
• Apply measures of central tendency and variability to analyze data sets.
• Utilize data analysis concepts to evaluate real-world scenarios like income distributions and test scores.+ Show more

Learning Objectives

• Understand the concept of exponential decay and its mathematical representation.
• Apply decay models to real-world situations such as radioactive decay and depreciation.
• Interpret parameters within decay functions to analyze quantities over time.+ 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 and calculate measures of central tendency: mean, median, and mode.
• Identify and interpret measures of data variability: range, interquartile range, and standard deviation.
• Analyze data sets to evaluate consistency, detect outliers, and interpret distribution.+ Show more

Learning Objectives

• Understand the concept of scale factors and their effect on geometric figures.
• Apply ratios and proportional reasoning to similar shapes and scaling scenarios.
• Calculate dimensions and areas after scaling in practical contexts.+ 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

• Use the coordinate distance formula to find the length of a segment between two points
• Use the midpoint formula to find the point halfway along a segment
• Interpret distance and midpoint results in terms of symmetry and geometric relationships

Learning Objectives

• Use the inscribed angle theorem to find an inscribed angle from its intercepted arc.
• Use the relationship between an inscribed angle and its intercepted arc to find missing arc measures.
• Justify that inscribed angles subtending the same arc are congruent.+ Show more

Learning Objectives

• Standardize a normal random variable using z = (x − μ)/σ
• Approximate probabilities for normal intervals using standard normal CDF values
• Use continuity correction when approximating binomial probabilities with a normal model

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

• Understand and calculate basic statistical measures such as mean, median, and mode in real-world contexts.
• Interpret data summaries and evaluate their relevance for decision-making.
• Analyze survey and sales data to identify patterns and draw conclusions using statistical reasoning.+ Show more

Learning Objectives

• Write and use formulas while tracking units so that numerators and denominators match correctly across steps
• Compute values from formulas and check that the resulting units make sense for the context
• Rearrange formulas and interpret what each term represents in terms of units

Learning Objectives

• Use an equation to model a relationship between two variables and interpret what ordered pairs satisfy the equation.
• Connect the form of a function (including absolute value transformations) to key features on its graph, such as the vertex.
• Interpret and describe linear inequalities in two variables using a coordinate-plane model and test points.

Learning Objectives

• Identify amplitude, period, phase shift, and vertical shift from a given sine or cosine model
• Use unit-circle angle reasoning to determine when a periodic trig model reaches maximum or minimum values
• Solve for the timing of repeated values using the period and the model’s parameter B

Learning Objectives

• Choose an appropriate reporting accuracy (decimal places or significant figures) based on the smallest measurement precision.
• Apply rounding rules correctly for addition/subtraction and multiplication/division while keeping precision consistent through calculations.
• Avoid misleading precision by rounding final answers to match what the data can support.

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

• 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

• 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

• 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

• 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 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