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...
Activity
Illustrative Mathematics

Watch out for Parentheses

For Teachers 5th - 7th Standards
It is important for the algebra learner to understand the use of parentheses. Mathematicians of all levels can make errors with nested parentheses. This will give them some practice. It makes for a good class starter or quick assessment.
Lesson Plan
Illustrative Mathematics

Miles to Kilometers

For Teachers 7th - 8th Standards
Can your mathematicians come up with an easy way to convert miles to kilometers? Start by asking learners to write an algebraic expression for each of the descriptions given. Once they determine that they are both the same, ask...
Lesson Plan
Curated OER

Taxes and Sales

For Teachers 9th - 12th Standards
Collaborative discussions around this retail store problem will be taxing. Calculating discount and tax and the order of the operations are used to motivate an opportunity for learners to make a convincing argument using algebraic...
Activity
Computer Science Unplugged

Tablets of Stone—Network Communication Protocols

For Teachers 4th - 12th
Show your learners that the game of Telephone isn't the only way messages get mixed up. Pairs transform into the sender and receiver of a message sent in packets. At least one pupil is the messenger who either delivers, delays, or...
Lesson Plan
Illustrative Mathematics

The Sign of Solutions

For Teachers 7th - 9th Standards
Positive or negative, zero or no solution, are all possibilities for the solution of a linear equation. Here the resource gives examples of linear equations in one variable and their type of solutions. The resource comes with commentary...
Activity
Illustrative Mathematics

Video Game Scores

For Teachers 5th Standards
Eric and Leila's video game scores are the inspiration for writing equations with parenthesis. The numbers are purposefully large to deter the class from calculating them: rather this activity meets the standard that asks 5th graders to...
Activity
5280 Math

Stories That Formulas Tell

For Teachers 8th - 10th Standards
Learn the stories a formula holds. An interesting lesson takes a unique approach to teach how to use formulas. Beginning with a formula, learners predict what the variables stand for and then use the formula to make calculations and tell...
Activity
Baylor College

Air: The Math Link

For Teachers 1st - 3rd Standards
Inflate this unit on the science of air with these math skills practice and word problems. Accompanying the children's story Mr. Slaptail's Secret, this resource covers a wide range of math topics including the four basic...
Activity
Illustrative Mathematics

Watch Out for Parentheses 1

For Teachers 5th Standards
Parentheses are an important tool in the algebraic toolbox in regard to the structure of the algebraic equation. They are the beginning of the standard order of operations rule, the P in PEMDAS. The central question...
Lesson Plan
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Illustrative Mathematics

Equivalent Expressions

For Teachers 8th - 12th Standards
Here is a straight-forward problem of multiplying two binomials with a twist. It is up to algebra learners to decide how to turn this product of sums into a sum of products. However, it is not the quadratic that is the answer; it is the...
Lesson Plan
Illustrative Mathematics

Reasoning about Multiplication and Division and Place Value, Part 2

For Teachers 5th - 7th Standards
The learner puts reasoning and estimation to work. The directions are to place a decimal in the answer to make the equation true. Pupils are to look at the two problems, one multiplication and one division, and estimate an answer. No...
Activity
West Contra Costa Unified School District

Division (No Remainders)

For Teachers 4th - 7th Standards
Help young mathematicians build a solid understanding of division with this base ten block activity. With the help of these popular math manipulatives, children model different math problems in order to reinforce the...
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
Computer Science Unplugged

The Chocolate Factory–Human Interface Design

For Teachers 4th - 12th
What is this? What is it for? How does it work? Challenge the class to think about to how to design a new chocolate factory for the Oompa-Loompas to make it easy to use. The activity is the first of a three-part series on...
Activity
Curated OER

Choosing a College

For Teachers 9th - 12th Standards
How can mathematics help scholars choose a college? High schoolers learn how they can use decision matrices to rank colleges based on selected criteria. They also see how to weigh criteria using multiplication of the decision matrix by a...
Activity
Illustrative Mathematics

Finding a Chair

For Teachers 1st - 2nd Standards
Here is an activity that incorporates subtraction in word problems. Youngsters are provided with six word problems that essentially deal with the same numbers in each problem, yet use different comparison language. These problems are...
Activity
5280 Math

Integer Interpreter

For Teachers 8th - 9th Standards
Can you add variables if you don't know their value? Using an empty number line, scholars first locate the position of the difference, sum, product, and quotient of two unknown integers. Later problems mix operations as well as add...
Lesson Plan
Illustrative Mathematics

Equations and Formulas

For Teachers 8th - 12th Standards
Your class is asked to use inverse operations to solve eleven equations for unknown variables or to rearrange formulas to highlight a quantity of interest. By using the same reasoning as solving one- and two-step equations, algebra...
Activity
5280 Math

Polygon Polynomials

For Teachers 8th - 12th Standards
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
Lesson Plan
Illustrative Mathematics

Traffic Jam

For Teachers 6th - 7th Standards
Help your learners understand dividing with fractions by using these methods to solve. Chose from two different number lines or linker cubes.  This practices "how many groups?" style division problems which help them comprehend why...
Lesson Plan
Illustrative Mathematics

Dan’s Division Strategy

For Teachers 5th - 7th Standards
Can Dan make a conjecture about dividing fractions with the same denominators? That is what your scholars are to determine. They must show that if the statement is true, they understand how the quantities were determined, and how...
Lesson Plan
Illustrative Mathematics

Baking Cookies

For Teachers 5th - 7th Standards
You can never have enough cookies, but do you have enough ingredients? This activity allows your bakers to discover how many batches of cookies they can make with the ingredients provided. Also useable as an independent assignment, your...
Activity
5280 Math

Factory Functions

For Teachers 8th - 10th Standards
Solve a real-life problem using function-building skills. Presented with an open-ended question, scholars complete a checklist to create and justify a solution in an interesting algebra project. The checklist asks for justifications of...