Workbook
National Security Agency

Equations and Expressions

For Teachers 5th - 6th Standards
Learners demonstrate their knowledge pictorially, concretely, and abstractly in this unit meant to last three hours over three days. Using hands-on activities, manipulatives,  real-world applications, and problem...
Activity
Noyce Foundation

On Balance

For Students K - 12th Standards
Investigate the world of unknown quantities with a creative set of five lessons that provides problem situations for varying grade levels. Each problem presents a scenario of fruit with different weights and a balance scale. Using the...
Lesson Plan
West Contra Costa Unified School District

Graphing Systems

For Teachers 7th - 9th Standards
Get hands on with solving systems of equations graphically. A solid lesson plan uses guided practice to show how to solve systems of linear equations. It allows time for sharing ideas and provides a printable matching activity...
Lesson Plan
EngageNY

Graphs Can Solve Equations Too

For Students 9th - 10th Standards
There are many equations Algebra I students are not ready to solve. Graphing to solve gives them a strategy to use when they are unsure of an algebraic approach to solve the problem. The lesson exposes learners to a wide variety of...
Lesson Plan
1
1
West Contra Costa Unified School District

Modeling Division of Fractions

For Teachers 5th - 7th Standards
Introduce young mathematicians to the process of dividing fractions with a hands-on math lesson. Using the help of fraction strips and other visual models, children work through a series of example problems as they...
Unit Plan
Mathematics Vision Project

Module 2: Logarithmic Functions

For Students 10th - 12th Standards
You can't build a fire with these logs! Filled with hands-on investigations, a complete logarithmic unit offers both instruction and practice. Learners first build an understanding of the new function, then explore properties before...
Lesson Plan
Education Closet

Equal Rhythms

For Teachers 3rd - 5th Standards
Engage young mathematicians in learning about fractions with this cross-curricular math and music lesson. After listening to and repeating different beat patterns, children realize that musical notes are just another way of representing...
Lesson Plan
Illustrative Mathematics

Many Ways to Do Addition

For Teachers Pre-K - 1st Standards
A great aspect of teaching math is that children have the freedom to solve problems using a variety of different strategies. The focus of this lesson is for young mathematicians to become aware of many ways of answering addition...
Lesson Plan
1
1
Teach Engineering

Common and Natural Logarithms and Solving Equations

For Teachers 9th - 12th Standards
Log some practice with logarithms. A PowerPoint presentation provides a tutorial on the change of base formula involving natural logarithms and solving exponential equations with logarithms in the fourth installment of a seven-part...
Handout
National Institute of Open Schooling

Chemical Kinetics

For Students 9th - 12th Standards
Not all chemical reactions happen at the same rate because some, like explosions, occur quickly and some, like rusting, occur over time. Here, learners explore chemical reactions and their rates in the 16th lesson of 36. Through readings...
Unit Plan
Mathematics Vision Project

Module 4: Rational Functions

For Students 9th - 12th Standards
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
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? In 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.
Lesson Plan
Odell Education

Matching Representations

For Students 8th Standards
Pupils explore the many representations of linear functions by completing a matching activity to connect the multiple representations of a function. They then reinforce the connection as individuals create the different representations...
Unit Plan
1
1
Mathematics Vision Project

Circles and Other Conics

For Teachers 10th - 12th Standards
Through a variety of hands-on activities and physical scenarios, this far-reaching unit leads learners through an exceptionally thorough exploration of circles and parabolas as conic sections. Geometric construction techniques are used...
Lesson Plan
Shodor Education Foundation

InteGreat

For Teachers 9th - Higher Ed Standards
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...
Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Lesson Plan
Illustrative Mathematics

A Bobbie Bear's Buttons

For Teachers Pre-K - 1st Standards
Young mathematicians help Bobbie Bear pick colored buttons out of a box as they learn how to decompose numbers less than 10 into pairs of smaller numbers. To support learners with the process, consider creating a worksheet or graphic...
Lesson Plan
Curated OER

St. Patrick’s Day

For Teachers 3rd - 6th Standards
Combine math, creative writing, and leprechauns in a fun St. Patrick's Day activity! Using a bag of gold coins and marshmallows, kids write a math story about a leprechaun that includes a multi-step equation to solve.
Lesson Plan
SaveandInvest.org

Introduction to Earning Interest: Grades 11-12

For Teachers 11th - 12th Standards
Does your bank pay you for allowing them to hold your money? Class members investigate three different ways money can make more money. Topics include certificates of deposit, statement savings accounts, and money market accounts....
Lesson Plan
1
1
EngageNY

Solving Inequalities

For Students 9th - 10th Standards
Do properties of equations hold true for inequalities? Teach solving inequalities through the theme of properties. Your class discovers that the multiplication property of equality doesn't hold true for inequalities when multiplying by a...
Unit Plan
Mathematics Vision Project

Module 6: Congruence, Construction, and Proof

For Teachers 8th - 10th Standards
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...
Lesson Plan
Virginia Department of Education

Give or Take a Few

For Teachers 6th Standards
Young mathematicians extend their knowledge of rational numbers on a number line to graph inequalities by first using number cards to compare rational numbers. They finish by using similar reasoning to graph inequalities on a number line.
Lesson Plan
EngageNY

Decimal Expansion of Pi

For Students 8th Standards
Develop a better understanding of the value of pi. Learners explore the area of a circle using estimation and graph paper. While continuing to estimate the area of the circle using smaller and smaller grids, the number pi emerges. 
Activity
101 Questions

Potty Math

For Teachers 9th - 12th Standards
You don't want to flush your money down the drain! Have your classes complete a financial comparison between two different types of toilets. They use linear modeling to determine the most cost-effective model.

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