Grade 11 Maths Worksheets

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 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 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

• 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 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

• 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 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

• 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 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

• 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 and apply the product, quotient, and power rules of logarithms
• Simplify complex logarithmic expressions using fundamental properties
• Solve exponential and logarithmic equations through property manipulation+ Show more

Learning Objectives

• Understand basic probability concepts through simple experiments such as coin flips and dice rolls.
• Calculate theoretical and experimental probabilities of specific outcomes.
• Apply probability models to real-world scenarios involving chance and uncertainty.+ 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 algebraic methods for solving polynomial equations, including factoring and polynomial division.
• Apply graphing techniques to identify polynomial roots and analyze their effectiveness.
• Interpret solutions of polynomial equations within real-world contexts such as budgeting and measurement.+ 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

• Identify and interpret zeros of polynomial functions and their multiplicities.
• Apply algebraic techniques such as synthetic division and factorization to find roots.
• Analyze how roots influence the shape and behavior of polynomial graphs in real-world contexts.+ Show more

Learning Objectives

• Understand the relationship between algebraic forms and their graphs.
• Apply transformations to quadratic functions and interpret their effects on the graph.
• Use graphical methods to model real-world quadratic scenarios.+ 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 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

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 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 data patterns influence measures of variability.
• Calculate and interpret measures of spread such as range and standard deviation.
• Compare data sets with similar central tendencies but different variability to assess data stability.+ Show more

Learning Objectives

• Interpret parameters of exponential models in real-world contexts.
• Apply mathematical reasoning to solve problems involving exponential growth and decay.
• Assess the accuracy of exponential models in predicting financial and scientific outcomes.+ Show more

Learning Objectives

• Calculate simple probabilities based on workplace scenarios.
• Interpret probability results to assess risks and make informed decisions.
• Apply probability concepts to practical situations such as machine failure and customer arrivals.+ 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

• 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

• 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 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 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

• 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

• Understand different methods for representing data visually, such as bar graphs, pie charts, and line graphs.
• Interpret and analyze various graphical data displays to recognize patterns, trends, and insights.
• Apply mathematical reasoning to construct and compare data visualizations accurately and effectively.+ 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 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

• 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 different methods for solving systems of linear equations, including graphing, substitution, and elimination.
• Apply algebraic techniques to find solutions of systems in real-world contexts such as budgeting or resource allocation.
• Analyze and interpret the conditions for systems with unique, infinite, or no solutions.

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 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

• 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 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