Illinois State Board of Education
Solar System
Aspiring astronomers solve problems involving mixed units of the same attribute, including time, money, length, and area. They convert large numbers into scientific notation, then compute and compare ratios to explain why drawing...
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Old Glory
Students utilize mathematical concepts such as: measurement, ratio and proportion and geometric probability to analyze the components of the U.S. Flag. They collect, organize and interpret data by constructing charts, tables and graphs...
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Can You Calculate the Speed of Your Pet?
Students analyze the formula for speed and velocity. They explore and demonstrate how to calculate the speed of wind up toy pets, average the speeds and identify the correct units of measure of speed.
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Slope Calculation
Middle schoolers practice calculating the slope of a line. They explain how the formula is derived and identify properties that are associated with positive, negative and undefined slopes. They complete an online activity as well.
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Perimeter and Area of 2D Shapes
Students find the perimeter and area of circles, triangles, and rectangles. In this perimeter and area lesson plan, the teacher gives students formulas for each shape and measurement and works through examples on the board. While no...
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Calculate It
Fourth graders find the area and perimeters of squares and rectangles using a calculator to check their multiplication. They use the appropriate formulas to find the area and perimeter of the given geometric shapes.
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Determining the Relationship Between pH and Hydrogen Ions with Microcomputer Based Lab (MBL) and/or Calculator Based Lab (CBL) Equipment
Students find the relationship between the variables based on experimental data. They determine mathematical relationship between pH and the amount of hydrogen Ions in solution.
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Calculating Your Travel GHGs
Students calculate the amount of greenhouse gases they produce in a given day. Using an equation, they determine the emissions for different sized vehicles and calculate the amount resulting from a family vacation. They create a class...
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Skittles and Springs
Students experiment to discover the relationship between the stretch of a spring and the amount of weight attached to the spring using Skittles. They use a CBR and a graphing calculator to gather data.
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Using the Pythagorean Theorem
Students apply the Pythagorean Theorem to solve real-world problems. They draw diagrams based on written descriptions to calculate the examples.
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Calculating the Moon's Width
Sixth graders measure the width of the Moon. In this Moon measurement instructional activity, 6th graders observe the Moon and complete a formula to calculate the width of the Moon.
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Up, Up and Away with the Montgolfier Balloon
Pupils construct hot air balloons. In this science instructional activity, students assemble their own balloon using tissue paper and glue. They time the duration of the flight, record data and calculate team averages.
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Measurement: Length, volume, and temperature
Young scholars determine the temperature of the water in a cup, measure the length of a piece of cardboard, and measure out an appropriate volume of water. This task assesses student's abilities to perform measurement and reporting skills.
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Using the Microscope
Students demonstrate their ability to properly make observations using a compound microscope. They prepare an onion skin slide and focus on it in both low and high power. Then they measure the diameter of one of the cells.
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Angular Size and Velocity
In this distance activity, students calculate the angular size or angular diameter of objects at a given distance. This activity has 6 problems to solve.
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The Discriminant
In this discriminant worksheet, high schoolers use the discriminant to determine the number of roots a polynomial contains. Explanations and examples are provided prior to the exercise. This two-page worksheet contains ten problems.
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Area-Time to Get in Shape
Students investigate the properties of triangles and parallelograms. In this geometry lesson, students calculate the formula used to find the are of a triangle and other polygons. They create a visual model to represent their findings.
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Speed Problems
Return to the classic word problem with these speed scenarios. Learners use some combination of the variables speed, distance, and speed to solve six problems, all of which ask for one of these as an answer. The examples do a nice job of...
Radford University
Feeding the World
Using technology, pupils find an exponential function to model the population growth of the US. With more information, learners derive the population growth formula for the world. Ultimately, they determine the amount of protein needed...
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Volume of Cylinders
Middle and high schoolers calculate the volume of cylinders. In this geometry lesson plan, learners differentiate between rectangular prisms and cylinders. They use the correct formula to solve for each solid.
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Learning by Logic - Total Surface Area
Geometers calculate the area of plane surfaces using the formulas for the area of a square, rectangle, and triangle. They develop the formula for calculating the total surface area of two geometric solids: the cube and rectangular prism.
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Prisms-Turn Up The Volume
Identify the length, width, and height of prisms. Critical thinkers calculate the volume of prisms given small amounts of information. They derive the formula given the length, width and height.
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Introduction to the Mole
Young scholars are introduced to the mole concept using a discovery-based method. Lesson includes activities with candy that allow students to discover the rules for mole-item, item-mole, mole-mass, and mass-mole conversions.
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Box It Up
Students calculate the surface area of prisms. In this geometry lesson, students investigate the properties of prisms and analyze ways to calculate the are of a rectangular prism. They derive the formula for surface area.