+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Carbon 14 Dating, Variation 2

For Teachers 9th - 10th Standards
In this task on exponential decay, students calculate what the amount of Carbon 14 left in a preserved plant will be as time passes and when one microgram will be all that is left. Aligns with F-LE.A.1.c.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Newton's Law of Cooling

For Teachers 9th - 10th Standards
For this problem, students use an exponential equation to investigate the cooling of a cup of coffee and how long it would take for it to cool down to different temperatures. Aligns with F-LE.B.5 and F-LE.A.4.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Carbon 14 Dating in Practice I

For Teachers 9th - 10th Standards
In this task, students learn about exponential decay by examining the amount of Carbon-14 left in a preserved plant with the passage of time after the plant has died. This provides a simple introduction to Carbon-14 dating but the actual...
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Rumors

For Teachers 9th - 10th
In this task, students investigate the exponential growth of a rumor about a celebrity. Aligns with F-LE.A.2.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le, a Rei Population and Food Supply

For Teachers 9th - 10th Standards
For this task, students analyze the sizes of a country's population and of its food supply to determine when and if food shortages will occur. To solve it, they must construct and compare linear and exponential functions and find where...
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Snail Invasion

For Teachers 9th - 10th Standards
For this task, students investigate the power of exponential growth in this real-world example of an invasive species that was introduced to Florida in 1966, a giant snail. Aligns with F-LE.A.2 and F-LE.A.4.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Linear or Exponential?

For Teachers 9th - 10th Standards
In this task, learners are asked to identify whether changes are linear or exponential. Aligns with F-LE.A.1.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Illegal Fish

For Teachers 9th - 10th Standards
In this task, students learn about exponential functions when they investigate the exponential growth of an invasive fish population. Aligns with F-LE.B.5 and F-LE.A.1.c.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Us Population 1790 1860

For Teachers 9th - 10th Standards
For this task, students are shown a table of U.S. population data between 1790 and 1860 and are asked to explore whether exponential functions would be appropriate to model relationships within the data. The purpose of the task is to...
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Comparing Exponentials

For Teachers 9th - 10th Standards
In this task, students work with exponential functions in a real-world context involving continuously compounded interest. They will study how the base of the exponential function impacts its growth rate and use logarithms to solve...
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.ns How Many Are In. . . ?

For Teachers 6th
In this task, 6th graders solve fraction division problems by drawing a picture and writing a number sentence. Aligns with 6.NS.A.1.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.ns Baking Cookies

For Teachers 6th Standards
Sixth graders are asked to do arithmetic with fractions in order to calculate the amount of ingredients they have for baking cookies and how many batches they can make. Aligns with 6.NS.A.1.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.ns Traffic Jam

For Teachers 6th
Sixth graders can first model this fraction division problem with a drawing or manipulatives, then use division to solve it. Aligns with 6.NS.A.1.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.ns Cup of Rice

For Teachers 6th
Sixth graders are asked to examine a drawing to find the solution to this fraction division problem. Aligns with 6.NS.A.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.ns Drinking Juice, Variation 3

For Teachers 6th
For this task, 6th graders solve a fraction division problem by drawing a picture and/or using arithmetic. Aligns with 6.NS.A.1.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.ns Drinking Juice, Variation 2

For Teachers 6th
In this task, 6th graders solve a fraction division problem by drawing a picture and/or using arithmetic. Aligns with 6.NS.A.1.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.ns Making Hot Cocoa, Variation 2

For Teachers 6th
In this task, 6th graders solve a fraction division problem by drawing a picture, interpreting it, identifying an equation that represents the problem, and verifying that the equation gives the same answer as the picture. Aligns with...
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.ns Integers on the Number Line 2

For Teachers 6th Standards
Sixth graders examine negative numbers and their relationships in inequalities in this problem. Aligns with 6.NS.C.7.a.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.ns Mile High

For Teachers 6th Standards
Sixth graders work with positive and negative numbers in a real-world context in this problem about elevation as it relates to sea level. Aligns with 6.NS.C.5.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei the Circle and the Line

For Teachers 9th - 10th Standards
Students are required to solve a system of equations in this task which will demonstrate their understanding of the correspondence between intersection points of the two graphs and solutions of the system. Aligns with A-REI.C.7.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei Pythagorean Triples

For Teachers 9th - 10th Standards
This task has two separate goals: the first is to solve a pair of equations, one quadratic and the other linear. The second goal is to observe that a point that lies on a circle gives rise to a Pythagorean triple. Aligns with A-REI.C.7.
+
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Hsa sse.a.1 Interpret Quantity Expressions in Context

For Students 9th - 10th Standards
This lesson offers a list of 17 downloadable tasks for high school algebra students to practice interpreting expressions that represent a quantity in terms of its context. Interpret parts of an expression, such as terms, factors, and...