Lesson Plan
Illustrative Mathematics

Writing Expressions

For Teachers 6th - 8th Standards
Practice writing algebraic expressions from written phrases. The objective is to consider two seemingly similar phrases, write them as algebraic expressions, and then simplify using the order of operations. Learners are challenged to...
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Schoolwires

12th Grade Expository Reading and Writing Research Project

For Teachers 11th - 12th
The beauty in this resource is the lengthy list of highly charged, controversial-issue research topics. Categories include issues of race, politics, law, environment, education, athletics, gender, and technology. After selecting a topic,...
Lesson Plan
Illustrative Mathematics

Two Interpretations of Division

For Teachers 3rd - 4th Standards
Division can be seen in two ways; as splitting a whole into a certain number of pieces, or splitting it into pieces of a certain size. Help your class reach this understanding with these two simple word problems. Encourage the use of...
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...
Activity
Beauty and Joy of Computing

Unsolvable and Undecidable Problems

For Teachers 9th - 12th
Try as you might, some functions just cannot be computed. The lab introduces the class to the possibility of unsolvable problems. The fourth lesson in a series of seven begins with a logic problem, then progresses to looking at functions...
Lesson Plan
Illustrative Mathematics

Gotham City Taxis

For Teachers 6th - 8th Standards
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
Lesson Plan
Illustrative Mathematics

An Integer Identity

For Teachers 8th - 12th Standards
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
Lesson Plan
Illustrative Mathematics

Fruit Salad

For Teachers 5th - 7th Standards
Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...
Lesson Plan
Curated OER

Solution Sets

For Teachers 9th - 12th Standards
Here is a task that gives the graph of the solutions of a system of linear inequalities and asks learners to analyze and write the algebraic form of the systems. By turning the problem around, learners make the connections between...
Lesson Plan
Curated OER

The Class Trip

For Teachers 3rd - 5th Standards
Mrs. Moore's class is trying to earn money for a trip to the science museum, but how much more do they need? Solve this problem with your own class as they develop their ability to model real-life situations algebraically. As an added...
Lesson Plan
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Illustrative Mathematics

Bank Shot

For Teachers 9th - 11th Standards
Young geometers become pool sharks in this analysis of the angles and lengths of a trick shot. By using angles of incidence and reflection to develop similar triangles, learners plan the exact placement of balls to make the shot....
Activity
Perkins School for the Blind

Design and Problem Solving

For Teachers 6th - 12th
What if you had a design problem you wanted to solve, but were unable to draw because you were unable to see? Teach your learners with visual impairments that they can use Wikki Stix®, a braille ruler, Legos®, and Constructo Straws to...
Activity
101 Questions

Boat in the River

For Teachers 6th - 8th Standards
Ever feel like you're headed up the down escalator? Don't let your pupils get stuck in that rut! Practice writing equations to solve a problem using an engaging lesson. A video presents information that allows learners to determine how...
Activity
101 Questions

Toothpicks

For Teachers 9th - 12th Standards
Analyze patterns and build functions. Young scholars work on their modeling skills with an inquiry-based lesson. After watching a video presentation of the problem, they write functions and make predictions.
Lesson Plan
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Curated OER

Mixing Fertilizer

For Teachers 9th - 12th Standards
Your young landscapers do concentration calculations in this problem dealing with mixing fertilizer. Learners use and analyze rational expressions within this context.
Activity
Noyce Foundation

Tri-Triangles

For Students K - 12th Standards
Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....
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.
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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...
Activity
5280 Math

More or Less the Same

For Teachers 8th - 10th Standards
Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...
Lesson Plan
Illustrative Mathematics

Growing Coffee

For Teachers 9th - 12th Standards
Ask your algebra learners to write an equation that has unit constraints. This commentary talks about the constraints, but does not show them in the equation. It is important that your mathematicians understand that the units apply to...
Activity
5280 Math

Capture the Points

For Teachers 8th - 10th Standards
Play a game of capture the points. Young scholars receive a number line with specific points graphed and must write an inequality that captures all the points. The second task of the algebra project is to write an inequality with...
Activity
5280 Math

Go with the Flow

For Teachers 8th - 12th Standards
Round and round they go ... where they stop, only scholars will know. By writing systems of equations, classes determine the number of cars a roundabout can handle given specific constraints. Systems use up to six variables and become...
Lesson Plan
Illustrative Mathematics

Running to School, Variation 2

For Teachers 5th - 7th Standards
Rose's commute to school is a fractional distance. After she runs part of the way, your class needs to determine what fractional distance she ran. This problem explores fraction operations through modeling and computation. The...
Lesson Plan
Illustrative Mathematics

Finding an Unknown Angle

For Teachers 4th - 6th Standards
Teach your class how to apply their knowledge of geometry as they explore the unknown. In order to find an unknown angle, students must understand that rectangles have four interior right angles, that right angles have 90 degrees, and...