Illustrative Mathematics
Running at a Constant Speed
The learner must use the given constant speed to find the unit rate. A table is made in order to relate the speed to the time and the distance. From the table, learners are able to see the unit rate in miles per minute and miles per...
Virginia Department of Education
The Exercise Fields
Horses need exercise, too. Scholars create linear equations to model the perimeter of exercise fields for horses. They finish by solving their equations for the length and width of the fields.
Illustrative Mathematics
Equations of Lines
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases. It...
Curated OER
Learning the Anti-differentiation Process
In this math activity, students examine the data table and attempt to fill in the empty boxes for the functions. They are asked to list the pattern found there.
Curated OER
Graphing Integers
Fifth graders complete an integer graphing activity. For this integer graphing lesson, 5th graders use coordinate grids to help them complete linear functions and integer graphing.
Curated OER
Using Objects to Object to Objectification
Learners use math functions in part to complete a metaphorical lesson on tolerance. In this math and tolerance lesson, students receive rows of functions and try to find a single simple shared property without success. Learners then...
Curated OER
Get a Half-life!
Students explore decay functions and the half-life of a substance. Through an M&M activity with calculators, students collect and graph data. They determine the linear, quadratic and exponential functions of the graph. Students...
Curated OER
Understanding Limits
In this understanding limits, students determine the convergence of given sequences. They use properties of limits to evaluate functions. This two-page worksheet contains examples and explanations, as well as eleven problems.
Curated OER
Penny Toss - Exponential Growth and Decay
In this penny toss worksheet, students collect statistical data by tossing pennies and then create a scatter plot of the data. They use formulas for exponential growth and decay and then plot the function. This two-page document...
Curated OER
Slope Fields and Euler's Method
In this slope field worksheet, students use a slope field for a rate equation. Using Euler's Method, they identify the piecewise linear function approximating the solution of the initial value problem. This four-page worksheet contains...
Curated OER
Generating Points and Graphing
Students create a table of values to help them plot. For this algebra lesson, students plot their points on a coordinate plane creating a graph. They observe and analyze linear functions.
Curated OER
Limits
For this limit worksheet, students evaluate functions and determine the limits of the function. This one-page worksheet contains 10 problems.
Curated OER
Relations
In this relations worksheet, 10th graders solve and complete 7 different problems that include defining various relations of number sets. First, they state the domain and range of each relation. Then, students express the relations shown...
Curated OER
Handling Data: Collecting and Recording Data
Students collect and record data. In this collecting and recording data lesson, students collect data and record that data using frequency tables which include the x and y axis.
Curated OER
The Derivative
In this derivative worksheet, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page worksheet contains definitions, examples, and five...
Curated OER
Algebra II Calculator Lab
In this quadratic functions worksheet, students use their graphing calculators to solve the 9 problems on the page. The questions ask students to graph functions, compare graphs, find the vertex and axis of symmetry and more.
Curated OER
Relations
In this relations worksheet, 10th graders solve and complete 10 different problems that include defining various forms of relations. First, they state the domain and range of each relation. Then, students express the relation shown in...
Curated OER
Practice with Euler's Method
In this Euler's Method worksheet, students determine the rate of change in given functions They use Euler's Method to approximate the solution of an equation. This two-page worksheet contains approximately twenty problems.
Curated OER
LET'S PARTY!
Students identify a number pattern and extend the number sequence. They make generalizations given a specific pattern and create, describe, and extend patterns. They create a table that describes a function rule for a single operation...
Curated OER
Get a Half-Life!: Student Worksheet
In this math/science worksheet, learners will work in pairs to conduct an experiment based on a decay function which is often used to model radioactive decay. Students will shake M & M's in a cup to rub off the M and then record...
Curated OER
ART PROJECT
Eighth graders, after researching the properties of graphs of conic sections, absolute value and inverse relations, make a drawing of precise functions and relations from a specified list of equations. The final design should analyze the...
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Practice Test: Derivatives
In this derivatives worksheet, learners identify the partial derivatives of a function, find the rate of change, and determine the maximum and minimum values of a function. This one-page worksheet contains 6 multi-step problems.
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Ratios, Proportions and Percents
Fifth graders complete 3 activities centered around percents. In this ratios, proportions and percents lesson, 5th graders create designs on grid paper that illustrate a variety of percents, solve percent problems mentally, and use...
Curated OER
Stairs and Slope
In this stairs and slope worksheet, 11th graders solve and complete 12 various problems that include identifying stairs that meet the given guidelines using slope. First, they use a ruler to measure the risers and treads from one set of...