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Illustrative Mathematics

A Midpoint Miracle

For Teachers 9th - 12th Standards
Young geometers develop one of the fundamental properties of quadrilaterals (connecting side midpoints gives a parallelogram) in this short but thought-provoking exercise. Using a combination of hands-on techniques and abstract algebraic...
Lesson Plan
Mascil Project

Container Logistics

For Teachers 9th - 12th Standards
Here's a creative lesson that lets pupils be creative as well! While considering many different factors, learners devise a plan to increase the efficiency of container shipments. The design of the activity encourages creative,...
Lesson Plan
Illustrative Mathematics

Two Wheels and a Belt

For Teachers 9th - 10th Standards
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Lesson Plan
Hawaiʻi State Department of Education

Dimension Dances

For Teachers 4th
Use dance to help learners conceptualize line segments, rays, lines, and planes. They choreograph dances that show dimensional space. Dancers start by pondering space, point, and lines as the teacher draws them in the air. Each...
Lesson Plan
Marilyn Burns Education Associates

Eighteen Flavors

For Teachers 7th - 8th Standards
Your learners will be tantalized by this inquiry-based, collaborative activity as they discover how to write an equation that represents the height of an ice cream cone. Given the scenario based on the poem, "Eighteen Flavors," and...
Activity
Curated OER

Task: Miniature Golf

For Teachers 6th - 10th Standards
"Fore!" All right, no one really yells this out in miniature golf, but this well-defined activity will have your charges using lots of numbers in their unique design of a miniature golf hole. Included in the activity criteria is the...
Assessment
Achieve

Ground Beef

For Students 7th - 10th Standards
Ever wonder how a butcher creates the different types of ground beef? Young mathematicians explore the methods butchers use to create their desired ground beef quality. Given a combination of two types of meat with varying...
Activity
MENSA Education & Research Foundation

Pi Day Fun!

For Teachers 6th - 8th Standards
In this multi-faceted introduction to pi, participants perform a bevy of pi-related activities. Ranging from measuring household items to singing pi songs and reading pi stories, this fun and non-intimidating resource serves to bring up...
Lesson Plan
Curated OER

Critical Thinking - Week 11

For Teachers 12th - Higher Ed
In this critical thinking worksheet, students complete problems which require abstract reasoning and logic. They complete logic puzzles involving sums of an array, finding the maximum number of integers under given conditions, and card...
Lesson Plan
Illustrative Mathematics

Animal Populations

For Teachers 9th - 12th Standards
Assume all you know is that the variable Q represents a value that is bigger than the value represented by the variable P. Which is larger P + Q or 2P? The problems in this activity get more complex than...
Lesson Plan
Illustrative Mathematics

Busy Day

For Teachers 5th - 7th Standards
This activity gets at the heart of algebraic reasoning and setting up equations with one variable to solve real-world problems. The worksheet has only one problem, but it requires that learners first use their own reasoning...
Lesson Plan
Illustrative Mathematics

Half of a Recipe

For Teachers 4th - 6th Standards
Kids love to cook! What is a better place to learn mixed numbers than with a recipe? It is up to learners to decide how they want to divide this recipe in half. They may choose to model the mixed number and then divide the model by two....
Activity
Denton Independent School District

Pieces to the Puzzle Fraction Project

For Teachers 4th - 6th Standards
Four polygons each have a fraction with unlike denominators printed on them. Creative math minds select several shapes to create a design with and then write and solve a math problem involving the addition of all of the fractions...
Lesson Plan
Curated OER

The Game is Afoot - A Study of Sherlock Holmes

For Teachers 5th
Mystery is an exciting genre for young readers to investigate. The plots are so intriguing! Here is a series of lessons featuring Sherlock Holmes stories that invite learners to enter the world of the mystery genre.  Based on what...
Lesson Plan
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Curated OER

Mixing Candies

For Teachers 8th - 10th Standards
Mixture problems are a classic in first-year algebra. Unfortunately, many learners approach them in a formulaic fashion and don't truly understand the meaning of the algebraic expressions they are using. Here, the questions are not the...
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Worksheet
Curated OER

Symmetry

For Students 3rd - 4th Standards
Where is the line of symmetry? Learners begin by drawing in a line to split three images evenly in half, using an example as reference. Encourage them to think about physically folding the picture to solidify this concept. Next, they do...
Lesson Plan
Shodor Education Foundation

Algorithm Discovery with Venn Diagrams

For Teachers 9th - 12th Standards
Here is a lesson plan that takes an interesting approach to analyzing data using box and whisker plots.  By using an applet that dynamically generates Venn diagrams, the class forms a strategy/algorithm for guessing the rule that...
Activity
Illustrative Mathematics

Points equidistant from two points in the plane

For Teachers 9th - 12th Standards
Young geometers apply their deductive reasoning skills and knowledge of proving triangles congruent in a task that asks them to prove if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints...
Lesson Plan
Illustrative Mathematics

Do Two Points Always Determine a Linear Function?

For Teachers 9th - 12th Standards
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...
Lesson Plan
Mathematics Assessment Project

Sharing Costs Equitably: Traveling to School

For Teachers 6th Standards
Drive or take the school bus? Class members determine the amount each student would have to pay in a carpool situation. They then evaluate  the cost in a set of provided examples. I think I'd rather take the school...
Lesson Plan
West Contra Costa Unified School District

Shifting Linear Equations in Function Notation

For Students 8th - 10th Standards
Time for a shift in thinking! Learners examine translations of linear functions. They use function notation to describe the translation and make connections to the graph.
Unit Plan
Curated OER

What's Math Got To Do With It?

For Teachers 5th
Students explore numbers, computation, ratios, proportions, probabilities, statistics, and money in this six lessons unit. Practical applications in the real world are emphasized through an interactive approach to math in these lessons.
Assessment
Inside Mathematics

Squares and Circles

For Teachers 8th Standards
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...

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