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Illustrative Mathematics
Foxes and Rabbits 3
Model periodic populations. Here, in the context of foxes and rabbits, pupils look at graphs of the populations of these animals in a national park over a span of 24 months. Groups analyze the graphs and determine trigonometric...
Curated OER
Graphing Scatterplots
Students examine scatterplots and determine the equation of a line using the slope-intercept method. Students interpret graphs, draw inferences, and sketch a curve of best fit for the graph. Based upon patterns in the graphs, students...
Curated OER
Exponential Functions: Half Life and Doubling Time
Students investigate the concept of exponential functions and how they increase in size over time. They simplify the functions in order to find the solutions that are possible and perform analysis of the curved line that is produced when...
Curated OER
Windsail Design
Students fit quadratic models to windsail designs. In this fitting quadratic models to windsail designs lesson, students compare quadratic models of sails with different measurements and mast size. Students vary the a-value...
Virginia Department of Education
Logarithmic Modeling
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
Virginia Department of Education
Exponential Modeling
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
Curated OER
The Way to Better Grades!
Pupils collect and analyze data. In this statistics lesson, learners create a scatter plot from their collected data. They use, tables and graphs to analyze the data and mae decisions.
Curated OER
Data and Scientific Graphs
Students conduct experiments and graph their data. In this statistics lesson, students collect data and graph it on a coordinate plane. They analyze the data looking for patterns and they discuss their findings with the class.
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
Curated OER
Walking the Plank
This is a cool math activity. Kids collect and interpret data based on a physical act. A board is balanced between a scale and a step, learners record a peer's weight as it decreases while s/he walks further away from the scale. They...
Virginia Department of Education
How Much is that Tune?
Tune in for savings! Scholars investigate pricing schemes for two different online music download sites. After comparing the two, they determine the numbers of songs for which each site would be cheaper.
Virginia Department of Education
Linear Modeling
An inquiry-based algebra 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...
EngageNY
Nonlinear Models in a Data Context
How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the lesson, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in compost and...
EngageNY
Choosing a Model
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...
Curated OER
Stars and Slopes
More of a math lesson than physics or space science, high schoolers take a set of data and plot it on a log-log coordinate system. The write-up for day two was never completed, but day one, "Stars and Slopes," is complex and cohesive....
Radford University
Sleep and Teen Obesity: Is there a Correlation?
Does the number of calories you eat affect the total time you sleep? Young mathematicians tackle this question by collecting their own data and making comparisons between others in the class through building scatter plots and regression...
Curated OER
Determination of Phosphorus Content in River Water
Divide your chemistry or environmental science class into two groups. Each group tests water samples from a river for the concentration of phosphorus using a different method. With chemists, you can use this activity as they learn to use...
Curated OER
View Tubes: Student Worksheet
Here is a worksheet that is almost a lesson! In it, learners conduct an experiment in which they determine the size of objects when viewed through viewing tubes. This resource has all of the instructions and tables necessary to complete...
Curated OER
Matrix Analysis of Networks
Explore the connection between a finite graph, a directed graph, and a matrix. Graph lines and identify the relationship of matrices in real-world scenarios. Then use this information to work with a partner to plan and design a...
Exploratorium
Marshmallow Puff Tube
Let physical science stars experience Newton's first law of motion by blowing marshmallows out of cardboard tubes! Using different lengths of tubing, they find that more force is needed to overcome increasing friction, and they have a...
Radford University
A Change in the Weather
Explore the power of mathematics through this two-week statistics unit. Pupils learn about several climate-related issues and complete surveys that communicate their perceptions. They graph both univariate and bivariate data and use...
Curated OER
Regressive Music
Student use the Ti calculator to graph sinusoidal graphs. In this calculus instructional activity, students use the CBL to collect and analyze data of sinusoidal graphs. They manipulate their collected data and make predictions.
Curated OER
Numerical Analysis: Using the QR Algorithm
In this QR algorithm worksheet, students use the QR algorithm to solve an over-determined system of equations. This two-page worksheet contains 11 problems.
Curated OER
Graphing Data from the Chemistry Laboratory
Students graph and analyze data using a spreadsheet.