Lesson Plan
Illustrative Mathematics

Interpreting a Division Computation

For Teachers 5th - 7th Standards
Mathematicians show their understanding of a division problem. If a student can apply long division to a pair of numbers and determine a quotient, what other factors and multiples become apparent? The example illustrates a simple...
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

Dividing by One-Half

For Teachers 4th - 6th Standards
Understanding when to divide by two or one-half can be confusing. Here is an activity that gives four different scenarios. It is up to your number crunchers to decide if they divide by two or one-half. The easiest way to approach the...
Lesson Plan
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Illustrative Mathematics

Tilt of Earth's Axis and the Four Seasons

For Teachers 9th - 11th Standards
Geometry meets earth science as high schoolers investigate the cause and features of the four seasons. The effects of Earth's axis tilt features prominently, along with both the rotation of the earth about the axis and its orbit...
Activity
Illustrative Mathematics

Paper Clip

For Teachers 9th - 11th Standards
With minimal setup and maximum freedom, young geometers are encouraged to think outside the box on a seemingly simple application problem. Though the task seems simple, measuring a given paper clip and finding how many 10 meters can...
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
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

Molly's Run

For Teachers 6th - 8th Standards
A simple lesson plan with a lot of support behind it. Your learners will find out how long it takes Molly to run a mile by choosing their solution method. The activity can be used as a lesson plan or as an independent assignment. Preface...
Lesson Plan
Illustrative Mathematics

Video Game Credits

For Teachers 6th - 7th Standards
Help your learners understand how to divide fractions with this visual activity. They first answer a simple inequality before dividing the fractions. Two solution choices are given to help your mathematicians understand how to solve "how...
Activity
101 Questions

Volcano

For Students 6th - 8th Standards
This resource will blow your mind! Young mathematicians estimate the rate of volcanic lava flow by watching a video. They apply the rate formula to determine how long it would take the lava to reach a city. Let's hope everyone gets out...
Lesson Plan
Illustrative Mathematics

Converting Square Units

For Teachers 5th - 7th Standards
Jada has a rectangle board that is measured in inches. Young learners confirm their understanding of converting inches to feet. Then they find the area in square feet. Jada thinks she has a short-cut to convert inches square to square...
Activity
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Illustrative Mathematics

Combined Fuel Efficiency

For Teachers 8th - 11th Standards
Practice simplifying complex fractions and long division of polynomials with this brief exercise. These four questions make a challenging warm-up activity or a short, but comprehensive, follow-up after a detailed lesson on algebraic...
Lesson Plan
Illustrative Mathematics

Comparing Years

For Teachers 6th - 7th Standards
Who knew that the Egyptian, Julian, and Gregorian year were different lengths? Your mathematicians will! They will have to calculate the difference between the years in seconds and find the percent change. Using dimensional analysis,...
Activity
Curated OER

The Value of Education

For Teachers 5th Standards
The real value of education is highlighted in more than one way on a activity designed to not only add, subtract, multiply, and divide decimals to hundredths, but also to address the correlation between higher pay...
Lesson Plan
Illustrative Mathematics

Molly's Run, Assessment Variation

For Teachers 6th - 8th Standards
Part of as assessment series, the activity follows the lesson Molly's Run to practice ratios and dividing with fractions. Different solution options are given for your learners' preference. The commentary explains how the...
Activity
Illustrative Mathematics

Zeroes and factorization of a quadratic polynomial I

For Teachers 10th - 12th Standards
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
Lesson Plan
Illustrative Mathematics

Data Transfer

For Teachers 6th - 8th Standards
A question to ask your class is, How fast is your Internet? That depends on the data transfer rate (DTR), which is the unit rate used in this activity. Math students will calculate how long it takes to download a music file and a video...
Lesson Plan
Illustrative Mathematics

Running at a Constant Speed

For Teachers 5th - 7th Standards
The learner must use the given constant speed to find the unit rate. A table is made in order to relate the speed to the time and the distance. From the table, learners are able to see the unit rate in miles per minute and miles per...
Activity
Computer Science Unplugged

Lightest and Heaviest—Sorting Algorithms

For Teachers 3rd - 12th Standards
How do computers sort data lists? Using eight unknown weights and a balance scale, groups determine the order of the weights from lightest to heaviest. A second worksheet provides the groups with other methods to order the weights. The...
Lesson Plan
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Illustrative Mathematics

Equivalent fractions approach to non-repeating decimals

For Teachers 6th - 8th Standards
Trying to get your class to think of decimals as fractions and vice versa can lead to interesting discussions. After all, we can usually understand quickly that 1/4 is .25 but why is 1/7 not so easy to convert? This activity looks...
Lesson Plan
Curated OER

Repeating Decimal as Approximation

For Teachers 6th - 9th Standards
You are used to teaching repeating decimals with bar notation that keeps us from writing that number over and over again; now teach what the over and over again represents. This activity allows your mathematicians to explore the infinite...
Lesson Plan
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Illustrative Mathematics

Puzzle Times

For Teachers 6th - 7th Standards
Give your mathematicians this set of data and have them create a dot plot, then find mean and median. They are asked to question the values of the mean and median and decide why they are not equal. Have learners write their answers or...
Lesson Plan
Illustrative Mathematics

Friends Meeting on Bikes

For Teachers 6th - 8th Standards
It is the job of your mathematicians to figure out how fast Anya is riding her bike when meeting her friend. The problem shares the distance, time spent riding, and Taylor's speed leaving the last variable for your learners to solve. Use...
Activity
Curated OER

Fantastic Journeys

For Teachers 7th - 12th
In this activity, students will design a theme park attraction based on a fantastic journey from literature, film, or their own imaginations.