Illustrative Mathematics
How Many _______ Are In. . . ?
Help your learners gain meaningful understanding of dividing fractions using fraction models. The activity includes nine problems which are sequenced to show how the fraction division algorithm evolves. Have students use graph paper or...
Mathematics Vision Project
Structures of Expressions
This comprehensive unit investigates transformations of quadratics, having learners follow "Optima" through the development and growth of her quilting business. Deftly weaving the story into the mathematical mechanics, the unit gives...
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
Mathematics Vision Project
Probability
Probability, especially conditional probability, can be a slippery concept for young statisticians. Statements that seem self-evident on the surface often require a daunting amount of calculations to explicate, or turn out to be not so...
Willow Tree
Multiplying Polynomials
Make two parts into a whole. Scholars learn to multiply polynomials to create a simplified polynomial expression. Polynomials include monomial, binomials, and trinomials.
Willow Tree
Line Plots
You can't see patterns in a jumble of numbers ... so organize them! Learners take a set of data and use a line plot to organize the numbers. From the line plot, they find minimum, maximum, mean, and make other conclusions about the data.
CK-12 Foundation
Completing the Square
An interactive aids in understanding of how to complete the square for a quadratic equation. A set of five challenge questions tests this understanding.
CK-12 Foundation
Conjectures and Counterexamples: An Extra Slice!
Class members will eat up an enticing interactive that lets users change the location of cuts made into a pizza to adjust the number of created slices. They create a counterexample for a conjecture on the number of slices.
EngageNY
Factoring Expressions
Factor in an informative resource when teaching about factoring. The 11th lesson in a 36-part module shows pupils how to factor algebraic expressions by applying the distributive property. Some of the problems involve expressions with...
EngageNY
Increasing and Decreasing Functions 1
Model situations with graphs. In the fourth installment of a 16-part module, scholars learn to qualitatively analyze graphs of piecewise linear functions in context. They learn to sketch graphs for different situations.
Illustrative Mathematics
Coffee by the Pound
This is a great exercise in graphing proportional quantities to interpret the unit rate as the slope of a graph. It is not easy for learners to understand what a unit rate is. When it is presented as the slope of a linear line graph,...
Charleston School District
Graphing Functions
How do letters and numbers create a picture? Scholars learn to create input/output tables to graph functions. They graph both linear and nonlinear functions by creating tables and plotting points.
Illustrative Mathematics
Computing Volume Progression 1
Finding the volume of a right rectangular prism is the focus of the resource. Worksheet includes a drawing of a cube to help learners visualize the concept. Young geometers will learn that as the side length increases, so does the...
Rational Number Project
Rational Number Project: Initial Fraction Ideas
Deepen the fractional number sense of young learners with this introductory lesson on equivalent fractions. After completing a short warm-up activity, children go on to work in pairs using fraction circles to complete a table of...
National Security Agency
Starting a Restaurant
Through an engaging unit, chefs-in-training will sort and classify data using tally charts. Learners will also create bar graphs to display restaurant data and interpret data from bar graphs using a variety of categories. This is a fun...
Willow Tree
Approximating a Line of Best Fit
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
CK-12 Foundation
Conditional Probability: Game Show with Monty
The car is behind door one — no wait, it is behind door three. An interactive allows learners to visualize the Monty Hall problem. Pupils work through the probabilities of choosing the car with their first pick. Next, they determine...
CK-12 Foundation
Conditional Probability: Colorful Cubes
An interactive provides a model to visually represent the formula for the probability of an outcome. Given 10 numbered color cubes, pupils arrange them on the top and bottom shelf to represent the probability fraction. The learners use...
EngageNY
Roots of Unity
Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....
Curated OER
Whirligig Lollapalooza
Using a cut-out template of a whirligig, emerging engineers experiment with flight behavior. After you teach them the concepts of force, air resistance, and lift, they discuss what variables on the whirligigs might be changed in order to...
Federal Reserve Bank
The Pickle Patch Bathtub
What do your pupils want to save up their money for? Based around the book The Pickle Patch Bathtub, this instructional activity covers opportunity cost, saving, and spending. Learners participate in a discussion and practice making...
Federal Reserve Bank
Glo Goes Shopping
Making decisions can be very difficult. Show your class one way to evaluate choices with this lesson, which is inspired by the book Glo Goes Shopping. Learners practicing using a decision-making grid with the content of the story and a...
Missouri Department of Elementary
Are You Balanced?
Balance scales create a strong visual of how an individual prioritizes one's self alongside their commitments to the community, school, and home. Scholars complete a graphic organizer then discuss their findings with their peers. A...
EngageNY
Linear Transformations Applied to Cubes
What do you get when you combine a matrix and a cube? Well that depends on the matrix! Pupils use online software to graph various transformations of a cube. Ultimately, they are able to describe the matrix that is responsible for a...