Illustrative Mathematics
Irrational Numbers on the Number Line
There are four irrational numbers that participants need to graph. Pi(π), -(½ x π), and √17 are easy to approximate with common rational numbers. On the other hand, the commentary describing the irrational number 2√2 is not...
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I'm Out of Here
Young scholars create a travel budget. In this budget lesson, students research vacation destinations. Working independently, young scholars research destinations on the Internet and construct a budget for the vacation. Resources...
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Marvelous Mathematics
Students make a table on the computer, but create fractions and equivalent fractions through the use of color. They are able to manipulate fractions in order to gain a greater understanding of the meaning of whole number that is broken...
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The Cricket and The Plant
Pupils examine determine the symbiotic relationship between plants and animals as the find ways to naturally reduce carbon dioxide emissions. They study the carbon cycle. They work with probe and graphing calculator to examine the carbon...
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Sound Pictures
Students examine the components of a sonar system. In this physical science lesson students explain how multibeam and sidescan sonar systems are useful to ocean explorers. Students simulate sonar operations in an activity using a...
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Introduction to Limits
Twelfth graders problem solve limit/function value situations. They solve the problems using a graphing calculator, which allows them to see the function's graph, and infer the function value and limit from the graph.
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Solving Systems of Equations
Students identify the quadrants and axis of a coordinate plane. In this algebra lesson, students discover the ocrrect way to graph using the coordinate plane. They discuss the relationship between x and y values, domain and range and...
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Count The Letters
Students perform activities involving ratios, proportions and percents. Given a newspaper article, groups of students count the number of letters in a given area. They use calculators and data collected to construct a pie chart and bar...
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Algebra: Reaching New Heights
Students work in pairs to measure their arm span and height and record them on a class chart. The class works together to create a scattergram to display the data. Class discussion focuses on interpreting the scattergram.
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Transforming Snoopy Using Coordinates
Students graph coordinate points to create a picture of Snoopy. In this coordinate point lesson, students read a book and learn about Rene Descartes' invention, the coordinate grid. Students graph a surprise picture on...
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Getting Out of Line
High schoolers explore basic connections between graphs, tables, and symbolic representations for lines, parabolas, inverse models, and exponential models. One of the primary goals of this instructional activity is to help students begin...
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Traveling Through the Solar System
Learners use calculator and non-calculator methods for analyzing data. They apply data collection and analysis in a study of mass and weight. Students enhance and apply the concept of line of best fit. They master graphing in a plane,...
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Transformations and Exponential Functions
Tenth graders study graphing exponential functions. In this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...
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Systems of Linear Equations
Young scholars use the calculator to represent a situation as a table, graph, and equation. They write systems of equations and find solutions to systems of equations. In addition, they explain and justify how they determined...
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Augmented Matrices
Pupils write systems of equations in an augmented matrix and enter it into their calculator. They use the reduced row echelon function on the calculator to solve the system of equations.
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Biodiversity and Ecosystems
Middle schoolers differentiate between biotic and abiotic factors in this science lesson. Learners collect data for the experiment and analyze the data after graphing it using the CBL 2. This experiment is split into two different...
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Ratios in Right Triangles
Learners calculate the sides of right triangles in this trigonometric ratios activity. They use Cabri Jr. software and TI-83 or TI-84 calculators to find the side lengths and their ratios to each other for various triangles. The provided...
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Systems of Linear Equations - Standard Form
Students write systems of equations and find solutions to systems of equations. They explain how they determined their solutions to a system of equations and justify their solutions. In addition, they write equations in standard form and...
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Simple Harmonic Motion with Dr. DAQ
Students study the work and accomplishment of Galileo. In this physics lesson, students calculate the period of a pendulum's using a mathematical equation. They explain the different factors affecting its period.
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Exponential Decay
Young scholars study exponential decay and its application to radiocarbon dating. In this exponential decay lesson, students use candy to model the time it takes for something to decay. Young scholars also graph the data they...
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Water-The Liquid Gold
Students investigate the necessity of water for the survival of plants, animals, and people. They explore the affect that water has on human and natural environments through literature, field trips, and discussions.
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Wacky Water World
Eighth graders calculate a system of equations to find the best ticket price for a ticket at a water park. They explain how the equations helped them make their decision on the best price.
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WORLD POPULATION STUDY
Students explore an exponential relationship and how it relates to human population growth and the current global population crisis.
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If you have to find the area of a region, how would you calculate it?
Fifth graders find the area of rice farms. In this area lesson, 5th graders draw shapes and grid them to find the area. They compare different rice fields to see which one takes up more space and has the larger area.