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Lesson Plan
EngageNY

General Prisms and Cylinders and Their Cross-Sections

For Teachers 9th - 10th Standards
So a cylinder does not have to look like a can? By expanding upon the precise definition of a rectangular prism, the lesson develops the definition of a general cylinder. Scholars continue on to develop a graphical organizer...
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Lesson Plan
EngageNY

General Pyramids and Cones and Their Cross-Sections

For Teachers 9th - 10th Standards
Are pyramids and cones similar in definition to prisms and cylinders? By examining the definitions, pupils determine that pyramids and cones are subsets of general cones. Working in groups, they continue to investigate the relationships...
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Lesson Plan
1
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EngageNY

Definition and Properties of Volume

For Teachers 9th - 10th Standards
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder. 
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Lesson Plan
EngageNY

Scaling Principle for Volumes

For Teachers 9th - 10th Standards
Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same...
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Lesson Plan
EngageNY

The Volume of Prisms and Cylinders and Cavalieri’s Principle

For Teachers 9th - 10th Standards
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two...
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Lesson Plan
EngageNY

The Volume Formula of a Sphere

For Teachers 9th - 10th Standards
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
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Lesson Plan
Institute of Electrical and Electronics Engineers

Coloring Discrete Structures

For Teachers 6th - 9th
What's the least number of colors needed to color a U.S. map? The instructional activity begins by having pupils view a video clip on continuous and discrete phenomenon, then launches into an activity reminiscent of Zeno's paradox....
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Lesson Plan
EngageNY

Differences Due to Random Assignment Alone

For Students 10th - 12th Standards
It takes a lot of planning to achieve a random result! Learners compare results of random assignment, and conclude that random assignment allows results to be attributed to chance. They also realize the set of random means...
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Lesson Plan
EngageNY

Ruling Out Chance (part 1)

For Students 10th - 12th Standards
What are the chances? Teach your classes to answer this question using mathematics. The first part of a three-day lesson on determining significance differences in experimental data prompts learners to analyze the data by...
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Lesson Plan
EngageNY

Ruling Out Chance (part 2)

For Students 10th - 12th Standards
Help your classes find the significance in this lesson! Learners analyze the probability of Diff values. They then determine if the difference is significant based on their probability of occurrence. 
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Lesson Plan
EngageNY

Ruling Out Chance (part 3)

For Students 10th - 12th Standards
Pupils analyze group data to identify significant differences. They use simulation to create their own random assignment data for comparison. 
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Lesson Plan
EngageNY

Drawing a Conclusion from an Experiment (part 1)

For Students 10th - 12th Standards
Challenge your classes to complete an experiment from beginning to end. Learners make their own hypotheses, collect and analyze their own data, and make their own conclusions. They are on their way to becoming statisticians! 
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Lesson Plan
EngageNY

Drawing a Conclusion from an Experiment (part 2)

For Students 10th - 12th Standards
Communicating results is just as important as getting results! Learners create a poster to highlight their findings in the experiment conducted in the previous lesson in a 30-part series. The resource provides specific criteria and...
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Lesson Plan
EngageNY

Evaluating Reports Based on Data from an Experiment

For Students 10th - 12th Standards
They say you can interpret statistics to say what you want them to. Teach your classes to recognize valid experimental results! Pupils analyze experiments and identify flaws in design or statistics. 
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Lesson Plan
EngageNY

Solve for Unknown Angles—Angles and Lines at a Point

For Teachers 9th - 10th Standards
How do you solve for an unknown angle? For this sixth installment of a 36-part series, young mathematicians use concepts learned in middle school geometry to set up and solve linear equations to find angle measures.
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Lesson Plan
EngageNY

Construct an Equilateral Triangle (part 1)

For Teachers 9th - 10th Standards
Drawing circles isn't the only thing compasses are good for. In this first installment of a 36-part series, high schoolers learn how to draw equilateral triangles by investigating real-world situations, such as finding the location of a...
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Lesson Plan
EngageNY

Construct an Equilateral Triangle (part 2)

For Teachers 9th - 10th Standards
Triangles, triangles, and more triangles! In this second installment of a 36-part series, your young mathematicians explore two increasingly challenging constructions, requiring them to develop a way to construct three triangles that...
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Lesson Plan
EngageNY

Copy and Bisect an Angle

For Teachers 9th - 10th Standards
More constructions! In this third installment of a 36-part series, learners watch a YouTube video on creating door trim to see how to bisect an angle. They then investigate how to copy an angle by ordering a given list of steps.
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Lesson Plan
EngageNY

Construct a Perpendicular Bisector

For Teachers 9th - 10th Standards
How hard can it be to split something in half? Learners investigate how previously learned concepts from angle bisectors can be used to develop ways to construct perpendicular bisectors. The resource also covers constructing a...
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Lesson Plan
EngageNY

Interpreting the Graph of a Function

For Students 9th - 10th Standards
Groups sort through NASA data provided in a graphic to create a graph using uniform units and intervals. Individuals then make connections to the increasing, decreasing, and constant intervals of the graph and relate these...
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Lesson Plan
EngageNY

Linear and Exponential Models—Comparing Growth Rates

For Students 9th - 10th Standards
Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...
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Lesson Plan
1
1
EngageNY

Solution Sets for Equations and Inequalities

For Students 9th - 10th Standards
How many ways can you represent solutions to an equation? Guide your class through the process of solving equations and representing solutions. Solutions are described in words, as a solution set, and graphed on a number line....
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Lesson Plan
EngageNY

Solving Equations

For Students 9th - 10th Standards
Teach solving equations through an exploration of properties. Before pupils solve equations they manipulate them to produce equivalent equations. The activity switches the focus from finding a solution to applying properties correctly.
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Lesson Plan
EngageNY

Some Potential Dangers When Solving Equations

For Students 9th - 10th Standards
Need a less abstract approach to introducing extraneous solutions? This is it! Young mathematicians explore properties used to solve equations and determine which operations maintain the same solutions. They...