Grade 11 Maths Worksheets

Learning Objectives

• Understand and interpret ratios and rates in real-world contexts.
• Calculate and compare ratios and rates to solve practical problems.
• Develop mathematical reasoning and problem-solving skills involving ratios and rates.+ 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

• 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

• Understand the representation of functions through tables, graphs, and algebraic expressions.
• Calculate and interpret the domain and range of functions in real-world contexts.
• Analyze linear functions and their real-life applications.+ 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

• 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

• Rewrite rational expressions into equivalent simplified forms by using factoring and canceling common factors.
• Identify excluded values by tracking when original denominators would be zero, even after cancellation.
• Explain why two algebraically similar rational forms may differ in domain and solution validity.

Learning Objectives

• Understand how shifts, stretches, and reflections affect the basic trigonometric graphs.
• Apply transformations to equations of sine, cosine, and tangent functions to model real-world periodic phenomena.
• Interpret the graphical effects of algebraic modifications on trigonometric functions and relate these to practical contexts.+ Show more

Learning Objectives

• Understand different algebraic forms of quadratic functions and their properties.
• Solve problems involving vertex, standard, and factored forms of quadratic equations.
• Interpret the graphs of quadratic functions in real-world contexts.+ Show more

Learning Objectives

• Understand and interpret different ways to represent functions, including algebraic, graphical, table, and verbal forms.
• Analyze key features of functions such as domain, range, and intercepts across different representations.
• Apply mathematical reasoning to interpret and compare function behavior from various formats.+ Show more

Learning Objectives

• Interpret and analyze data representations such as graphs and charts.
• Calculate statistical measures like averages, percentages, and growth rates.
• Apply data analysis skills to real-world scenarios involving business, finance, and daily decisions.+ Show more

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 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

• Understand how to interpret roots, multiplicities, and asymptotes from graphs of polynomial and rational functions.
• Apply algebraic and graphical reasoning to analyze the features of higher-degree and rational functions.
• Use graph analysis to solve real-world problems involving budgeting, measurements, and data interpretation.

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

• Understand the characteristics of exponential functions demonstrating growth.
• Apply exponential models to real-world scenarios such as population increase and investments.
• Interpret graphs of exponential functions to analyze growth behavior.+ 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

• Use the addition rule to find probabilities of unions of events (including mutually exclusive and overlapping events).
• Use the multiplication rule, including conditional probability: P(A ∩ B) = P(A|B)P(B).
• Use complements to simplify probability calculations.+ Show more

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

• 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

• Represent geometric objects using algebraic equations on the coordinate plane (lines, circles, and absolute value graphs).
• Justify coordinate geometry statements by reasoning algebraically about relationships, not by checking only a few cases.
• Use algebraic transformations (expanding, rearranging, substituting) to prove two conditions describe the same set of points.

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

• 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

• Recall and apply surface area formulas for cylinders, cones, pyramids, and spheres
• Connect 2D measures on faces (such as radius and slant height) to 3D surface area
• Use scaling ideas to explain how surface area and volume change for similar solids

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 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

• State what a rational exponent m/n means in terms of roots and powers
• Rewrite a^(m/n) using radical notation: (n√a)^m
• Evaluate expressions with rational exponents by taking the n-th root first (for a>0)+ 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

• 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

• Understand various methods of data representation including tables, bar graphs, and pie charts.
• Analyze the effectiveness of different data visualizations in communicating information.
• Apply mathematical reasoning to interpret and compare data from different formats.+ Show more

Learning Objectives

• Apply exponential growth and decay concepts to real-world problems.
• Interpret mathematical models with multiple variables in scientific and financial contexts.
• Evaluate the effectiveness and limitations of exponential and logarithmic models.+ Show more

Learning Objectives

• Understand the concept of ratios and their practical applications.
• Calculate and interpret ratios in real-world contexts such as shopping and measurements.
• Simplify ratios and recognize proportional relationships.+ Show more

Learning Objectives

• Apply volume formulas for prisms and related solids using correct base area and dimensions
• Solve measurement problems by finding missing dimensions or comparing volumes
• Use consistent units and interpret calculated volumes in context

Learning Objectives

• Solve one-variable equations and interpret the solution in context
• Solve and interpret one-variable inequalities, including checking boundary values
• Translate a real-world scenario into an equation or inequality in one variable+ Show more

Learning Objectives

• Understand the formula for calculating simple interest.
• Apply simple interest concepts to real-world financial scenarios.
• Interpret interest rates, principal amounts, and time periods in calculations.+ Show more

Learning Objectives

• Use circle similarity to relate radii, circumferences, arc lengths, and areas through scale factors.
• Apply constant ratios such as \(\frac{C}{r}=2\pi\) and \(\frac{A}{r^2}=\pi\) to solve problems.
• Determine how circumference and area change when the radius is multiplied by a scale factor.

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

• 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

• 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

• 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 unit circle to match an angle θ with its point (cosθ, sinθ).
• Evaluate sine and cosine for special angles using x- and y-coordinates.
• Apply quadrant sign rules to determine the signs of sinθ and cosθ.

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

• 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

• 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

• 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

• 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