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Illustrative Mathematics

Computations with Complex Numbers

For Teachers 9th - 12th Standards
This quick set of problems provides a brief refresher on the arithmetic of complex numbers. Learners need to multiply, add and subtract, and remember features of i when raised to a power. Included solutions are clear enough that...
Assessment
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Illustrative Mathematics

Solving Two Equations in Two Unknowns

For Students 8th - 10th Standards
More than just a one-problem resource, learners must explain their answer and incorporate a writing component to mathematical thinking. The resource also includes an explanation of the solution to help with the reasoning. 
Lesson Plan
West Contra Costa Unified School District

Introduction to Solving Linear Inequalities in One Variable

For Teachers 8th - 10th Standards
Life isn't fair ... like inequalities. After first reviewing inequality symbols and how to read inequality statements, learners discover how to solve one-step inequalities and graph their solution sets.
Lesson Plan
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EngageNY

Solving Basic One-Variable Quadratic Equations

For Students 9th - 10th Standards
Help pupils to determine whether using square roots is the method of choice when solving quadratic equations by presenting a lesson that begins with a dropped object example and asks for a solution. This introduction to solving by...
Lesson Plan
Virginia Department of Education

Inequalities

For Teachers 7th
Not all resources are created equal — and your class benefits! Scholars learn how to solve one-step inequalities using inverse operations. They complete an activity matching inequalities to their solutions.
Activity
101 Questions

Tether Ball

For Teachers 6th - 8th Standards
All work and no play makes for a boring classroom! Bring back memories by analyzing the patterns of a tether ball. Given the dimensions of the ball, pole, and rope, young scholars must determine how many times the ball will wrap around...
Activity
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NOAA

Why Should I Care?: Show How Increased Carbon Dioxide Makes the Ocean More Acidic

For Students 6th - 8th Standards
How does a change in pH affect the ocean ecosystem? Scholars explore the idea by making an acid-base indicator in part seven of the 10-installment Discover Your Changing World series. First, they explore impacts of carbon dioxide in...
Lesson Plan
Curated OER

After Reconstruction: Problems of African Americans

For Teachers 9th - 12th
Students describe issues or problems facing African Americans following Reconstruction. They explain possible solutions to these problems suggested in the sources you find, and cite arguments for and against these solutions.
Lesson Plan
Curated OER

After Reconstruction: Problems of African Americans in the South

For Teachers 9th - 12th
Learners describe issues or problems facing African Americans following Reconstruction. They explain possible solutions to these problems suggested in the sources found and cite arguments for and against those solutions. Analyze primary...
Lesson Plan
Teach Engineering

Problem Solving

For Teachers 6th - 8th
Need a activity? Problem solved. Scholars learn about the problem-solving process in the sixth installment of a 25-part Energy Systems and Solutions unit. The particular process in question is the Technological Method of Problem Solving.
Lesson Plan
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Teach Engineering

Copycat Engineers

For Teachers 6th - 8th
It's often said that imitation is the sincerest form of flattery. Young engineers learn about biomimicry, which uses nature to generate engineering ideas, in the fifth instructional activity of nine in a Life Science unit. Working in...
Lesson Plan
Curated OER

Linear Programming

For Teachers 10th - 12th Standards
Students explore inequalities to determine the optimal solution to maximize a profit for a company. In this linear programming instructional activity, students discover how to graph inequalities and how to determine the algebraic...
Lesson Plan
Curated OER

Stargirl Lesson

For Teachers 5th - 7th
Students read a short novel while filling in a graphic organizer for problem and solution.  In this sociology lesson, students use a prior knowledge and relate the text to theirselves and to think about their own...
Lesson Plan
Curated OER

Middle Grades Math: Balancing Equations

For Teachers 7th - 9th Standards
Learners solve linear equations. By observing the graph of each side of an equation using the TI-nspire graphing calculator, your class gains insight into solutions, as well as balancing equations and transforming linear equations....
Lesson Plan
Curated OER

Do These Systems Meet Your Expectations

For Teachers 8th - 9th
This lesson is all about systems of equations and their graphs. Algebra learners create and solve systems of equation using tables and graphing. They identify the point of intersection of a system of equation, and discover what the...
Lesson Plan
Curated OER

Another Way of Factoring

For Teachers 8th - 10th Standards
Focusing on this algebra lesson, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and finds the...
Lesson Plan
Curated OER

Immigration in Spain

For Teachers 11th - 12th
How many people immigrate to Spain illegally each year? Both the United States and Spain see a lot of illegal immigration. Advanced learners will read various articles, compare and contrast the situation in both countries, and discuss...
Lesson Plan
Curated OER

Blow the Best Bubbles

For Teachers 2nd - 4th
Here is an exciting, and meaningful science lesson on the formation of bubbles! Young scientists have three cups with a variety of solutions in them. One cup has detergent only, one has glycerin added to it, and the third has corn syrup...
Activity
Illustrative Mathematics

Mixed Numbers with Unlike Denominators

For Teachers 5th Standards
There is more than one way to add mixed numbers. This worksheet asks 5th graders to find and record two ways. The purpose is to help pupils realize there are different ways to reach a common solution in math. The two most common ways are...
Activity
Illustrative Mathematics

Fundraising

For Teachers 4th - 6th Standards
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...
Lesson Plan
Illustrative Mathematics

Buying Protein Bars and Magazines

For Teachers 6th - 8th Standards
Packing for a trip? This activity allows learners to decide how many magazines and protein bars they can buy with twenty dollars. They can organize their work in a chart to track how many items they can purchase. There are two different...
Lesson Plan
Illustrative Mathematics

It's Warmer in Miami

For Teachers 5th - 7th Standards
Brrrr it's cold in Alaska! When given the temperatures of Anchorage and Miami in the winter, your mathematicians will calculate how much warmer it is in Miami. Answer key provides two different solution choices. Great as a warm-up for...
Lesson Plan
Illustrative Mathematics

Writing Constraints

For Teachers 9th - 12th Standards
Use this resource to present your number crunchers with how to write a constraint equation and to determine viable solutions. The price of an object limits the amount that can be purchased. The speed at which you walk limits the number...
Lesson Plan
Illustrative Mathematics

Sports Equipment Set

For Teachers 6th - 8th Standards
Many young scholars like to play sports and the equipment that goes with it costs money. The resource sets up an inequality that gives a total amount needed to purchase the equipment and the initial amount of money already obtained. In...

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