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Curated OER
Complex Distance
Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number...
Illustrative Mathematics
Roll & Build
Develop young mathematicians' understanding of place value with this hands-on math activity. Working in pairs, learners take turns building two-digit numbers by rolling two ten-sided dice. Base ten blocks are then used to model the...
Illustrative Mathematics
Cup of Rice
Dividing with fractions is not a favorite task, so provide your learners with a visual understanding. The activity breaks a simple division problem into something they can comprehend. Use this method for future problems with...
Concord Consortium
Boards III
Learn to visualize mathematical patterns as a folded pattern. Beginning with a visual display, the task encourages pupils to view sequences as a folded table. The pattern of the table then becomes a formula in a spreadsheet that...
EngageNY
The Relationship Between Visual Fraction Models and Equations
Ours is to wonder why, not just to invert and multiply. The seventh installment of a 21-part module uses fraction models to help pupils understand why the invert-and-multiply strategy for dividing fractions works. They then work on some...
Curated OER
Comparing Fractions with a Different Whole
What was Bryce's mistake? Through analysis of a student work example, learners develop their own ability to compare the fractions one fourth and one half. Central to this activity is the concept that, when comparing fractions, the whole...
Illustrative Mathematics
Same Base and Height, Variation 2
This is a good model for learners to visualize triangles of the same base and height. They can can begin to comprehend that these triangles will have the same area no matter how the triangle is drawn. It is part of a series of resources...
Illustrative Mathematics
Video Game Credits
Help your learners understand how to divide fractions with this visual activity. They first answer a simple inequality before dividing the fractions. Two solution choices are given to help your mathematicians understand how to solve "how...
Balanced Assessment
Rolling Coins
What caused the extra rotation? Class members visualize a coin rolling around the circumference of another coin. They determine the reason the rolling coin rotates twice. Further questions require them to determine a generalized formula...
Code.org
Practice Performance Task - Security and Hacking in the Real World
Young computer scientists create a visual artifact that represents their research into a computing innovation in the world of cybersecurity. They then work individually to write an essay on the impact of technology on cybersecurity.
Illustrative Mathematics
Box of Clay
What happens to a volume when you scale the dimensions of a rectangular prism? In this problem, a box of clay is increased in each dimension, with the intent to see if learners can generalize the result. The addition of...
Illustrative Mathematics
The Stamp Collection
By using language like "half of the stamps," children are exposed to patterns in arithmetic that requires solving a two-step word problem. This type of language opens a new door for transitioning learners toward understanding fractions...
Illustrative Mathematics
Sugar in Six Cans of Soda
Understanding how to multiply a whole number by a fraction is the key concept. Young mathematicians create a visual model of this real-world example and find the solution. Extensions are possible for making this an even richer activity....
Illustrative Mathematics
Representing Half of a Circle
Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, students are asked to determine whether or not one half of each circle is shaded. To support...
Illustrative Mathematics
Cell Phone Plans
Turn your classroom into a local cell phone store. Then, have your cell phone agents use linear equations to visually display three cell plans and their advantages. It makes for a great group project. Discuss how to decide which plan is...
Curated OER
Seven Circles II
Your learners find as many rigid motions of the plane as they can that are symmetries of the configuration of circles. Rigid transformations of the plane are explored and become more concrete to them as they visualize and execute...
Curated OER
Tennis Balls in a Can
Make your classroom interesting by teaching or assessing through tasks. Deepen the understanding of Geometry and motivate young mathematicians. The task uses investigation with tennis balls and their container to prompt learners to...
EngageNY
Mid-Unit 1 Assessment: Human Rights Vocabulary and Common Prefixes
Here is a mid-unit assessment for a group of lessons studying the Universal Declaration of Human Rights (UDHR). The first half of this instructional activity calls for several forms of review. Your class will review the content of the...
Illustrative Mathematics
Making Hot Cocoa, Variation 2
Learners are introduced to dividing by fractions in a visual way. Setting up groups from the information in the problem allows them to see what we divide and why. Use with the previous lesson, which can be found in Additional Materials,...
Illustrative Mathematics
Making Hot Cocoa, Variation 1
Dividing with fractions can be a confusing task to some, but the activity illustrates how to make groups out of the problem and look at it visually. Use this problem with the lesson plan in the Additional Materials section to practice...
EngageNY
An Appearance of Complex Numbers 2
Help the class visualize operations with complex numbers with a lesson that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series reviews...
EngageNY
Percent of a Quantity
Visualize methods of finding percents. Classmates find a percent of a quantity using two methods including a visual model in the 26th lesson in a series of 29. By the end of the lesson, scholars find percents given a part and the whole...
Illustrative Mathematics
Building toward fluency
Here is a great learning task that focuses on the development of areas in computational fluency including strategies in mental math. Young learners are guided through a list of addition expressions that help them visually understand the...
Illustrative Mathematics
Fundraising
In order to solve for who raised the most money, learners will need to choose an appropriate math strategy or tool to help them. Two possible solutions, one involving pictures and one involving abstract thought, are presented in the...
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