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Curated OER
Finding the Area of Polygons
Third graders are exposed to finding the area of polygons by decomposing figures and recomposing them into rectangles. This strategy allows children to expand on their prior knowledge of constructing shapes by rearranging parts into...
Illustrative Mathematics
Adding Multiples
Mathematicians practice communicating why the sum of two multiples of a number results in another multiple of that number. Encourage learners to construct a viable argument by applying the distributive property or by drawing a diagram....
Exploratorium
Exploring a Complex Space-Filling Shape
Middle schoolers build a three-dimensional 12-pointed star as a geometric exercise. The shape is quite-difficult to construct. Luckily there is an excellent template that learners cut out, then use to make their pyramid. The second part...
Illustrative Mathematics
Make Your Own Puzzle
Puzzling over what geometry instructional activity to teach next? Look no further. This simple activity teaches young mathematicians how shapes can be decomposed into smaller figures, and how smaller figures can be assembled into larger...
Curated OER
Two Points Determine an Exponential Function I
Learners construct an exponential function from a graph, and two given points on the graph, as they analyze what makes up an exponential function.
Illustrative Mathematics
Why Does SSS Work?
While it may seem incredibly obvious to the geometry student that congruent sides make congruent triangles, the proving of this by definition actually takes a bit of work. This exercise steps the class through this kind of proof by...
West Contra Costa Unified School District
Derivation of the Quadratic Formula
What connection does the quadratic formula have with a quadratic equation? Using a matching activity, pupils construct the algebraic derivation of the quadratic formula in this Algebra II lesson task. The task provides two variations of...
West Contra Costa Unified School District
Arcs and Angles
Noah didn't construct this kind of arc. High school scholars first explore how angles can be formed in circles. They then learn relationships between angles and arcs by conducting an exploratory activity where they position and draw arcs...
Balanced Assessment
Movie Survey
Movie preferences will get your classes talking! Individuals read a pie graph and construct a bar graph using the same information. They then answer questions specific to the data and sample size.
Balanced Assessment
Melons and Melon Juice
Model the difference between the graphs of discrete and continuous functions. Scholars examine two scenarios and construct graphs to model the situation. They then compare their graphs that illustrate the subtle difference between these...
Illustrative Mathematics
Coordinates of Equilateral Triangles
Can it be constructed? The task poses the question whether it is possible to have an equilateral triangle with its vertices located at integer coordinates. Pupils work with their knowledge of trigonometric ratios and the Pythagorean...
Point Pleasant Beach School District
Parabola Project
Class members select a picture that contains a parabola and construct a drawing of it using function graphs in the quadratic project. Individuals restrict the domains of the functions to create a more accurate drawing. They then submit a...
Mathed Up!
Pie Charts
Representing data is as easy as pie. Class members construct pie charts given a frequency table. Individuals then determine the size of the angles needed for each sector and interpret the size of sectors within the context of frequency....
CK-12 Foundation
Matrices to Represent Data: Houndstooth
Apply matrices to fashion. Here your classes use a matrix to create a popular clothing design. As they construct the pattern, they review the dimensions of a matrix by considering the rows and columns.
CK-12 Foundation
Data Summary and Presentation: Chart for Grouping Data
Get social! Create a display of social media use for a class. Pupils use provided information about the time spent on social media to construct a histogram. Using the histogram, learners interpret the data to answer questions.
K20 LEARN
Cumbersome Cubes
Halving is not always so simple. Small groups build a cube and then determine how to construct a cube that is half the size. Groups create two cubes, one that is the correct size and another that would be an alternative solution. To...
101 Questions
Can-struction
Can you solve it?! A New York City art challenge involves making sculptures from cans. The task is to determine the number of cans used in the engineering award-winning sculpture. Scholars consider the patterns in the different layers to...
PHET
Area Builder
All that matters is the tiles. Pupils use the interactive to investigate the relationship between area and perimeter using tiles. The interactive has an explore and a game mode to accommodate different steps in learning. The game mode...
Radford University
Quadrilaterals
Connect the quadrilaterals. Working in teams, pupils use a variety of tasks to make connections between special quadrilaterals. With the properties well defined, the groups construct quadrilaterals based on those properties. Learners...
Radford University
Building a Recreation Center
It's all about location, location, location. Small groups work to find the best spot for a rec center to serve three different communities. Learners construct the inscribed and circumscribed circles of a triangle to find the best place....
Radford University
Box-and-Whisker Activity
Think inside the box. Working in small groups, pupils design a study to answer comparing two data sets. Team members collect data and construct box-and-whisker plots and analyze them to prove or disprove their hypothesis. They develop...
Curated OER
A Trip to Colonial Virginia
Students consider prices while planning a trip to Colonial Virginia. In this budgeting lesson, students construct an itinerary of events for a vacation. Students are responsible for working within the approved budget.
Curated OER
How to Draw a Bar Chart Correctly
Your class has gathered their data, so what's the next step? They need to display and analyze their data, and a bar chart is a perfect tool for the job. This resource provides the step-by-step instructions those kids need to construct a...
Curated OER
Order Numbers On a Number Line
Fifth and sixth graders study the use of a number line to add integers and they observe a teacher demonstration of how to add integers on a number line. Afterward, they construct a number line and use the number line to solve addition...
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