Grade 11 Worksheets

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 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 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

• 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 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 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 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 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

• 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 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

• 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 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 how transformations affect the key features of functions, such as intercepts and slopes.
• Calculate the combined effects of multiple transformations on function graphs.
• Interpret and analyze the impact of shifts, stretches, and compressions in real-world contexts.+ 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

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 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

• 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 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

• 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

• 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 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

• 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 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

• 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

• 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

• 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

• 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

• 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 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 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

• Apply exponential and logarithmic functions to real-world data scenarios.
• Interpret models to assess their accuracy and limitations in representing exponential growth or decay.
• Develop multi-step solutions and analyze data to make informed decisions using mathematical reasoning.+ 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 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 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

• 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

• Apply unit conversions accurately to solve measurement problems.
• Use proportional reasoning in practical measurement scenarios.
• Evaluate and select appropriate measurement methods based on situation.+ Show more

Learning Objectives

• Understand and interpret ratios in practical contexts such as medication dosages and recipes.
• Apply proportional reasoning to solve multi-step problems involving real-world data.
• Analyze and compare ratios and rates to make informed decisions in everyday situations.+ 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

• Understand how to apply proportional reasoning to workplace-related problems.
• Calculate costs, quantities, and ratios in real-world trade scenarios.
• Interpret data and make decisions based on proportional relationships.+ Show more

Learning Objectives

• Apply the Law of Sines and Law of Cosines to solve for unknown sides and angles in oblique triangles.
• Analyze different cases, including ambiguous cases, to determine the appropriate solution method.
• Interpret real-world problems involving non-right triangles in navigation, engineering, and measurement contexts.+ Show more

Learning Objectives

• Understand how to identify the hypotenuse and legs in a right triangle.
• Apply sine, cosine, and tangent ratios to find missing side lengths or angles.
• Interpret real-world problems involving right triangles and solve using trigonometry.+ 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 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

• Explain how matter and energy move among Earth’s geosphere, hydrosphere, atmosphere, and biosphere.
• Use cause-and-effect and systems thinking to predict how changes in one Earth system can propagate to others.
• Describe how erosion, sediment transport, rainfall, and biological processes influence Earth’s surface and cycles.

Learning Objectives

• Explain how dipole-dipole interactions, hydrogen bonding, and London dispersion forces arise between molecules
• Predict how intermolecular forces affect boiling points, viscosity, and phase changes
• Compare substances with similar formulas to justify differences in polar solubility and required energy to separate molecules

Learning Objectives

• Differentiate ionic and covalent bonding based on electron movement or electron sharing
• Predict how bonding type affects properties such as melting point, electrical conductivity, brittleness, and solubility
• Use atomic structure ideas (valence electrons, charge, and electron distribution) to explain material behavior