Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
Virginia Department of Education
Line of Best Fit
Pupils work through a guided activity on fitting a linear equation to a set of data by entering the data into a calculator and trying to envision a line of best fit. They then have the calculator determine the least-squares line and...
EngageNY
The Most Important Property of Logarithms
Won't the other properties be sad to learn that they're not the most important? The 11th installment of a 35-part module is essentially a continuation of the previous lesson, using logarithm tables to develop properties. Scholars...
Illustrative Mathematics
The Djinni’s Offer
The djinni in this resource offers gold coins. Learners use the properties of exponents to make their decision as one offer increases exponentially. This makes a great group project. As the commentary suggests, start by having groups...
Curated OER
Polynomials
In this worksheet, learners solve and complete 32 various types of problems. Included are problems on simplifying polynomials, factoring, graphing equations by plotting points, and simplifying expressions using the rules of...
Curated OER
Integer Solutions to Inequality
When is the last time you assigned your students only one problem? This seemly simple problem requires learners think like a mathematician and reason about how to solve this compound inequality in one variable. More than just using...
Curated OER
Discovering Pi
Define terminology related to a circle. Practice accuracy in measuring and then create a spreadsheet based on data collected from solving for parts of a circle. Groups can have fun analyzing their data as it relates to Pi.
Virginia Department of Education
Linear Curve of Best Fit
Is foot length to forearm length a linear association? The class collects data of fellow scholars' foot length and the length of their forearms. They plot the data and find a line of best fit. Using that line, they make predictions of...
Georgetown University
Cup-Activity: Writing Equations From Data
Determine how cup stacking relates to linear equations. Pupils stack cups and record the heights. Using the data collected, learners develop a linear equation that models the height. The scholars then interpret the slope and the...
Curated OER
Displacement vs. Distance Worksheet
Displacement is a foundational concept for physics pupils. If they are having trouble discerning it from distance, this activity can help clear things up. The first page is essentially a piece of graph paper. It has a compass rose and a...
Noyce Foundation
Lawn Mowing
This is how long we mow the lawn together. The assessment requires the class to work with combining ratios and proportional reasoning. Pupils determine the unit rate of mowers and calculate the time required to mow a lawn if they work...
Curated OER
Graphing the Daily Revenue of Miami Seaquarium
Seventh graders compile a table of the revenues of the 8 eateries (a combined total), Main Gate admissions, and the Gift Shop.
Curated OER
Altitude and Flight Forces
Young scholars use the World Wide Web to access and use FoilSim. They also use the World Wide Web to access the NASA Glenn Web site for information relative to the factors involved with the flight of an airplane.
Curated OER
Cutting Cordwood
Young scholars examine a story problem in which two men are earning money by cutting cords of wood. They use data from graphs to use on a grid. They practice writing algebraic equations as well.
Curated OER
Perimeters, Patterns, and Conjectures
Students discover patterns and write conjectures relating to perimeters and polygons. Working in cooperative learning groups, they use manipulatives and graphic organizers to solve problems then answer a series of questions in which they...
Curated OER
Geometry and Symmetry
Pupils examine tessellations and their geometric properties. The instructional activity and discussions may be used to develop students' understanding of polygons and symmetry as well as their ability to analyze patterns.
Curated OER
Land Use and Nitrogen
Learners consider the effects of development on water quality. They test nitrogen levels in waters before and after development, investigate wastewater treatment options and research best management practices to reduce nitrogen loads.
Curated OER
Carbondale: The Biography of a Coal Town
Students use a brief history of the growth and decline of the anthracite region in the state to create a photograph and map "peak shaped" time line. They practice map and photo analysis strategies to "read" photographs and maps.
Curated OER
Get a Half Life!
Eighth graders use M&M's to experiment with data. They use a graphing calculator to determine the best equation for their data; linear, quadratic or exponential. They analyze the data to find the half-life of their M&M's.
Curated OER
Properties of Curves
In this Calculus worksheet, students use a graphing calculator to boost their understanding of functions and their graphs as they examine the properties of curves. The forty-two page worksheet contains one hundred problems. ...
Curated OER
Chapter 4 Practice Test
In this Chapter 4 Practice Test worksheet, students solve problems with signed numbers. They are also asked to complete a table and graph a simple function. The bonus problem presents points to plot.
Curated OER
Analyzing Solutions Computed Using Euler's Method
In this analyzing solutions worksheet, students use Euler's Method to estimate the value of given functions. They estimate solutions using the piecewise-linear function model and sketch the information onto a graph. This two-page...
Curated OER
The Derivative
In this derivative worksheet, students estimate the derivative of given functions. They identify the slope, the rate of change find the slope of a parabola. This two-page worksheet contains definitions, examples and five problems,
Curated OER
My Peanut Butter is Better Than Yours!
Students explore the concept of statistical data. In this statistical data lesson, students read an article about the dangers of peanut butter to those who are allergic. Students perform a taste test of two different brands of peanut...