Illustrative Mathematics
The High School Gym
Learners apply critical thinking skills as they analyze data about the temperature inside a gymnasium during a school assembly. The focus is on representing temperature as a function of time and interpreting input and output values...
EngageNY
Bean Counting
Why do I have to do bean counting if I'm not going to become an accountant? The 24th installment of a 35-part module has the class conducting experiments using beans to collect data. Learners use exponential functions to model this...
Curated OER
MT-141 Precalculus - Worksheet 6.4(b)
In this precalculus worksheet, learners complete horizontal shift identifies. They graph functions, solve trigonometric equations using algebra, estimation and with the use of a graphing calculator. Students find the cosine of curves. ...
Curated OER
SkyHighScrapers
Learners investigate quadratic functions. In this Algebra I/Algebra II lesson, students determine the equation of a quadratic function that closely matches a set of points. Learners investigate the necessary information that would...
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Qualitative Analysis of the S-I-R Model
For this qualitative analysis worksheet, students explore the S-I-R model of determining given values of a function. They determine the maximum, minimum values and the slope. students write a rate equation for given information. This...
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How are we Related?
Students differentiate functions based on their domain and range. In this algebra lesson, students define function, domain, range and relation. They analyze graphs and coordinate pairs for input and output values making up a function.
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Worksheet 7
In this integral worksheet, students are given 42 short-answer problems regarding rates, proportions, integrals, graphing, differentiable functions, and average values.
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Applications of Definite Integrals
In this definite integral activity, students explore different types of integrals and determine the length of a curve. This one-page activity contains eight multi-step problems.
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AP Calculus Practice Exam AB Version-Section1-Part 1
In this calculus practice exam, students select the best answer to 28 multiple choice questions. Questions cover information from the entire year of calculus. A suggested time limit of 55 minutes is included.
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A.P. Calculus Exam Prep
In this A.P. Calculus exam practice test, students answer 28 multiple choice questions. Questions cover a wide variety of topics. Students tell the position of a particle moving along a horizontal line. They identify the solution to a...
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Scatter Plots and Line of Best Fit – TV Task
This handout begins by asking your statisticians to form hypotheses on the correlation between test scores and student height and test scores and the number of hours watching TV. Then using specific data, your class will create scatter...
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Product Rule
In this calculus worksheet, students find the derivative of a function. They use the product rule to to differentiate each problem. There are 21 problems with an answer key.
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Slope & Rate of Change
This short handout addresses the concept of slope in two different ways: geometrically and analytically. Start with a brief description of slope, then use graphical representations to compare positive vs. negative slope and zero vs....
Illustrative Mathematics
Pizza Place Promotion
The longer you wait to try the new pizza place, the more it's going to cost you! This real-world problem about how the cost of pizza varies with respect to time is a good example of how piecewise functions are used to describe...
Curated OER
Using Symmetry to Find the Vertex of a Parabola
Learners engage in a lesson that is about finding the vertex of a parabola while using symmetry. They use the symmetry to find out where the two lines meet. The line is displayed with the help of a graphing calculator. The lesson...
Curated OER
Mean, Variance, and Standard Deviation for the Binomial Distribution
Students review previous lessons on mean, variance, standard deviation, and expected value. They utlize formulas for these characteristics that are specifically designed for the binomial distribution. Students discuss the similarities...
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Averages: Computing Mean, Mode and Median
Seventh graders use daily temperature models to find the mean, mode and median.
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Using Averages to Create Graphs Through Excel
Sixth graders create and use a spreadsheet to make graphs which will be used to analyze Progress Report and Final Report Card grades. They practice finding the mean, median, mode, and range of a data set. Students also incorporate column...
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Number Sense and Operations
For this number sense and operations worksheet, 9th graders solve and complete 15 various types of multiple choice problems. First, they evaluate a few different functions shown. Then, students write numbers given in scientific notation....
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Limits and Trigonometric Equations.
In this calculus worksheet, students solve functions dealing with limits and the 6 trigonometric values. They find the slope and tangent lines. There are 28 questions.
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Definite Integrals
In this calculus worksheet, students calculate the definite integral given different functions. They evaluate the functions for given values. There are 20 questions.
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Rising Gas Prices – Compounding and Inflation
Financial literacy skills and exponential models are connected by the compound interest formula in this task centered on inflation calculations. Collaborative learners get experience collecting data from the given websites and exploring...
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Applications of First and Second Derivatives.
In this calculus learning exercise, students solve for the critical values, open intervals and find the maximum and minimum. There are 7 questions dealing with the derivative.
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AP Calculus
In this calculus worksheet, students solve problems with trigonometric functions. They take the derivative and find the average rate of change.