Illustrative Mathematics
Transforming the graph of a function
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and cf(x) for specific values of c. The...
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Exponential Growth Versus Linear Growth I
Your algebra learners will discover how quickly an exponential function value grows compared to a linear function's value. Making a table of values helps in this comparison, set in the context of making a wage for raking leaves.
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US Population 1982-1988
Your algebra learners make predictions using the concepts of a linear model from real-life data given in table form. Learners analyze and discuss solutions without having to write a linear equation.
Virginia Department of Education
Linear Modeling
An inquiry-based algebra instructional activity explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the...
Project Maths
Introduction to Patterns
The world is full of patterns. Help learners quantify those patterns with mathematical representations. The first Algebra activity in a compilation of four uses a series of activities to build the concept of patterns using multiple...
Project Maths
Introduction to Equations
Do your pupils truly understand inverse operations, or is their understanding a little backward? Scholars learn the meaning of an equation in the second lesson of a four-part Algebra series. A series of activities begins with an analysis...
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Spheres
Young scholars work algebraic expressions with various types of powers to find the solutions. They Students also become familiar with problems that involve the square roots of numbers. The work should be completed with computational...
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Number Trick
In this Algebra I/Algebra II instructional activity, 9th graders explore the algebra behind a number trick. The one page instructional activity contains one problem with the explanation and solution.
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Topic: Roots of Real Numbers
In this algebra 2 worksheet, students simplify the roots of real numbers. There are 18 roots to simplify on this worksheet, but there are no lines on which to write the answers.
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Adding and Subtracting Numbers is Scientific Notation
In this Algebra I/Algebra II worksheet, students add and subtract numbers written in scientific notation. The one page worksheet contains six problems. Solutions are provided.
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The Sequences Problem
In this Algebra I/Geometry/Algebra II worksheet, students determine what term is missing in the two given sequences. The one page worksheet has two problems with the solutions.
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The Stagecoach Problem
In this Algebra I/Algebra II worksheet, students solve a problem posed by Lewis Carroll involving rate, time and distance. The one page worksheet contains one problem with the solution.
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Systems of Linear Inequalities
In this Algebra I/Algebra II worksheet, students solve systems of linear inequalities by graphing the inequalities on a coordinate plane and determining the location of all ordered pairs that solve the system. The three page worksheet...
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Functions
In this Algebra I/Algebra II worksheet, students evaluate functions. Students graphs functions and determine the domain and range, find the sum, difference, and product of functions, find composite functions and explore the end-behavior...
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Rational Equations
For this Algebra I/Algebra II worksheet, learners solve rational equations. The one page worksheet contains twenty problems of increasing difficulty. Answers are not provided.
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Rational Expressions and Equations
In this Algebra I/Algebra II worksheet, students reduce, add, subtract, multiply, and divide rational expression. Students also solve rational equations. The one page worksheet contains twenty-six problems. Answers are not provided.
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Basic Ideas of Functions
For this Algebra I/Algebra II worksheet, learners determine whether or not a relation is a function. Students determine the domain of a function and express the answer in interval notation. The three page worksheet contains fifty-eight...
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Division of Radicals Worksheet
In this Algebra I/Algebra II worksheet, students simplify expression involving division of radicals. The one page worksheet contains five problems. Answers are provided.
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Linear Equations
In this Algebra I/Algebra II worksheet, students determine the equation of a line from the graph. The one page worksheet contains ten problems. Answers are not provided.
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Exponents and Radicals-Review
In this Algebra I/Algebra II worksheet, students simplify expression involving exponents, radicals, and scientific notation. The two page worksheet contains thirty-nine problems. Answers are not included.
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Solving System of Equations by Addition
In this Algebra I/Algebra II worksheet, students solve systems of linear equations by addition. The one page interactive worksheet contains ten questions. Answers and hints are provided.
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Outbreak!
Eleventh graders explore the spread of a disease through a population. In this Algebra II lesson, 11th graders analyze graphical data representing they spread of a disease. Students produce a graph of the virus data, analyze the data,...
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Ellipse
In this Algebra II worksheet, 11th graders determine the area and circumference for an ellipse. The one page worksheet contains four problems. Solutions are not provided.
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Maximum Volume of a cuboid and open-topped box
In this Algebra II/Pre-Calculus worksheet, students investigate the maximum volume of a cuboid and the maximum volume of an open-topped box. Additionally, students determine the acceptable size for boxes to meet parcel service...
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