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...
Lesson Plan
Illustrative Mathematics

Kitchen Floor Tiles

For Teachers 8th - 12th Standards
An interesting way to look at the kitchen floor is to count the number of tiles in the border. Fred starts with four white floor tiles and writes an expression for the number of tiles needed for the colored border. Algebra learners are...
Lesson Plan
Curated OER

Interesting Interest Rates

For Teachers 9th - 12th Standards
Your young bankers compare earning interest accumulated yearly and monthly to decide which method most increases their balance. Using an exponential function to model the bank balance affords the learners more practice connecting...
Lesson Plan
Illustrative Mathematics

Chicken and Steak, Variation 2

For Teachers 7th - 9th Standards
Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...
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
Curated OER

Find Parabolas through Two Points

For Teachers 9th - 12th Standards
Your learners will write quadratic functions whose graphs include specific points and explore how these graphs are related to each other.
Lesson Plan
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Illustrative Mathematics

Delivery Trucks

For Teachers 8th - 12th Standards
Algebra learners are to make sense of two different-sized sand trucks and the number of trips each truck makes. The resource lists four different expressions based on the size of each truck and the number of deliveries the trucks make....
Lesson Plan
Illustrative Mathematics

Banana Pudding

For Teachers 4th - 6th Standards
Making banana pudding despite misplacing your one-cup measuring cup is easy as long as you can find your quarter-cup measuring cup! This real-life activity provides a good opportunity for learners to interpret division of a whole...
Lesson Plan
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Curated OER

Equal Differences Over Equal Intervals 2

For Teachers 9th - 12th Standards
Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and...
Activity
Curated OER

Folding strips of paper

For Teachers 5th Standards
Fifth graders need concrete experiences to introduce a unit on multiplying fractions by fractions. A strip of paper is used to create a number line and represent 5/6. It is folded first in half, and then in quarters. After unfolding,...
Activity
Curated OER

Minutes and Days

For Teachers 5th Standards
Elapsed time is a skill developed by the single question that is the center of this activity. Fifth graders are asked to find out the time that is 2011 minutes after the beginning of 2011. This question addresses the standard that...
Activity
Illustrative Mathematics

Traffic Jam

For Teachers 6th - 9th Standards
How many cars would be involved in a traffic jam 12 miles long? A slightly ambiguous writing prompt gives learners the opportunity to practice making reasonable assumptions to tackle a real-life problem. Few details are given, so they...
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...
Lesson Plan
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Illustrative Mathematics

Points on a Graph

For Teachers 8th - 12th Standards
Learners practice using their knowledge of how to interpret a function and use function notation. The activity includes two questions. Given an input of a function and its output, the first question asks learners to write the ordered...
Activity
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Illustrative Mathematics

Complex number patterns

For Teachers 10th - 12th Standards
Start off with the definition of the imaginary number i, then have your class practice simplifying expressions involving powers of i and look for patterns. See how the cyclic nature of powers of i translate to sums of powers of i.
Lesson Plan
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Illustrative Mathematics

Egyptian Fractions II

For Teachers 8th - 12th Standards
The Egyptians used unit fractions to describe all other fractions. Your class will rewrite rational expressions in order to deduce information about rational numbers. The activity starts with specific fractions, guides you through a few...
Lesson Plan
Curated OER

Much Ado About Something (Lesson 4)

For Teachers 9th - 12th
Students view a film about Shakespeare and his poetry. They complete a worksheet while viewing. They discuss how to properly read a poem and practice reading his sonnets.
Lesson Plan
Curated OER

Preparation and Transition to Two-Column Proofs

For Teachers 10th - 11th
Learners investigate proofs used to solve geometric problems. In this geometry lesson, students read about the history behind early geometry and learn how to write proofs correctly using two columns. The define terminology valuable to...
Lesson Plan
Curated OER

The Canoe Trip, Variation 1

For Teachers 9th - 12th Standards
Your river sportsmen will explore an example of paddling upstream as they build functions modeling speed and time in terms of the speed of the current. They then use their algebraic models to interpret features of the function related to...
Lesson Plan
Curated OER

Using Non-Text Features

For Teachers 2nd
Second graders examine graphs and charts from their local newspaper. As a class, they discuss what the data means and how it relates to the article. In groups, they are shown two sets of graphs or charts and they practice explaining...
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...
Activity
Illustrative Mathematics

Salad Dressing

For Teachers 5th Standards
Aunt Barb's salad dressing is a mixture of oil, vinegar, salt, herbs, and a pinch of math. Fifth graders add the fractional measurements of ingredients to find a total amount. The fractions have unlike denominators. After finding the...
Activity
Illustrative Mathematics

Find the Missing Angle

For Teachers 7th - 9th Standards
This one activity requires young geometers to pull together information they are currently learning with things they have learned previously. Here they rely on understanding something about parallel lines, alternative interior angles,...
Lesson Plan
Illustrative Mathematics

Ice Cream

For Teachers 9th - 12th Standards
Algebra learners can always relate to ice cream. In this case, a carton of ice cream has been at room temperature for t minutes. Given an expression for the temperature of the ice cream, it is up to your number crunchers to...