Illustrative Mathematics
Illustrative Mathematics: F Le Carbon 14 Dating, Variation 2
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.
Illustrative Mathematics
Illustrative Mathematics: F Le Newton's Law of Cooling
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.
Illustrative Mathematics
Illustrative Mathematics: F Le Carbon 14 Dating in Practice I
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...
Illustrative Mathematics
Illustrative Mathematics: F Le Rumors
In this task, students investigate the exponential growth of a rumor about a celebrity. Aligns with F-LE.A.2.
Illustrative Mathematics
Illustrative Mathematics: F Le, a Rei Population and Food Supply
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...
Illustrative Mathematics
Illustrative Mathematics: F Le Snail Invasion
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.
Illustrative Mathematics
Illustrative Mathematics: F Le Linear or Exponential?
In this task, learners are asked to identify whether changes are linear or exponential. Aligns with F-LE.A.1.
Illustrative Mathematics
Illustrative Mathematics: F Le Illegal Fish
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.
Illustrative Mathematics
Illustrative Mathematics: F Le Us Population 1790 1860
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...
Illustrative Mathematics
Illustrative Mathematics: F Le Comparing Exponentials
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...
Illustrative Mathematics
Illustrative Mathematics: 6.ns How Many Are In. . . ?
In this task, 6th graders solve fraction division problems by drawing a picture and writing a number sentence. Aligns with 6.NS.A.1.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Baking Cookies
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.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Traffic Jam
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.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Cup of Rice
Sixth graders are asked to examine a drawing to find the solution to this fraction division problem. Aligns with 6.NS.A.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Drinking Juice, Variation 3
For this task, 6th graders solve a fraction division problem by drawing a picture and/or using arithmetic. Aligns with 6.NS.A.1.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Drinking Juice, Variation 2
In this task, 6th graders solve a fraction division problem by drawing a picture and/or using arithmetic. Aligns with 6.NS.A.1.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Making Hot Cocoa, Variation 2
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...
Illustrative Mathematics
Illustrative Mathematics: 6.ns Integers on the Number Line 2
Sixth graders examine negative numbers and their relationships in inequalities in this problem. Aligns with 6.NS.C.7.a.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Mile High
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.
Illustrative Mathematics
Illustrative Mathematics: A Rei the Circle and the Line
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.
Illustrative Mathematics
Illustrative Mathematics: A Rei Pythagorean Triples
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.
Illustrative Mathematics
Illustrative Mathematics: Hsa sse.a.1 Interpret Quantity Expressions in Context
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...