Illustrative Mathematics
Illustrative Mathematics: At the Park
Students will solve a variety of word problems with differing levels of difficulty. They may use objects, pictures, or equations to represent their solutions.
Illustrative Mathematics
Illustrative Mathematics: 20 Tickets
Students are given a word problem with multiple solutions. They are challenged to solve the problem using manipulatives, to draw a picture to represent their work, and possibly record their responses using equations. Examples of...
Illustrative Mathematics
Illustrative Mathematics: 6.rp Price Per Pound and Pounds Per Dollar
Young scholars use ratios to answer four questions about rate and pounds in this performance task.
Illustrative Mathematics
Illustrative Mathematics: 6.rp Hippos Love Pumpkins
Students use ratios to answer four questions about rates in situations involving unusual units in this performance task.
Illustrative Mathematics
Illustrative Mathematics: F Le Bacteria Populations
This task provides a real-world context for interpreting and solving exponential equations. Students are asked to examine the equations representing the growth of three colonies of the bacterium that causes pneumonia, each colony being...
Illustrative Mathematics
Illustrative Mathematics: F Le Carbon 14 Dating
The task requires the student to use logarithms to solve an exponential equation in the realistic context of carbon dating. Aligns with F-LE.A.4.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Linear Growth Ii
In this task, young scholars compare exponential and linear functions and find that exponential functions with a base larger than one eventually exceed in value any given linear (or polynomial) function if the value of the input is...
Illustrative Mathematics
Illustrative Mathematics: F Le Two Points Determine an Exponential Function Ii
In this task, students are shown a graph of an exponential equation, with two points labeled with their coordinates, and are asked to find the values of a and b in the equation. Aligns with F-LE.A.2.
Illustrative Mathematics
Illustrative Mathematics: F Le Two Points Determine an Exponential Function I
This is a simple task where students are shown a graph of an exponential equation, with two points labeled with their coordinates, and are asked to find the values of a and b in the equation. Aligns with F-LE.A.2.
Illustrative Mathematics
Illustrative Mathematics: 6.rp Riding at a Constant Speed, Assessment Variation
Learners use ratios to answer four questions about rate and distance in this performance task.
Illustrative Mathematics
Illustrative Mathematics: F Le What Functions Do Two Graph Points Determine?
For this task, students find a unique linear function, a unique exponential function, and more than one quadratic function that go through the same two points on the coordinate grid. Aligns with F-LE.A.
Illustrative Mathematics
Illustrative Mathematics: F Le Algae Blooms
This problem examines the growth of algal blooms in Chesapeake Bay. Students build an exponential function modeling algae concentration based on the information provided, and gain an appreciation for the exponential growth exhibited...
Illustrative Mathematics
Illustrative Mathematics: F Le Do Two Points Determine a Linear Function Ii?
In this task, students investigate the relationship between linear equations and linear functions. Aligns with F-LE.A.2.
Illustrative Mathematics
Illustrative Mathematics: F Le a Saturating Exponential
For this problem, students use an exponential equation to investigate the warming up of a cold beverage on a summer day and analyze a graph to estimate temperatures. Aligns with F-LE.B.5 and F-BF.B.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Polynomial Growth
In this problem, students compare the growth of exponential functions versus polynomial functions and find that an exponential function takes larger values than a cubic polynomial function provided the input is sufficiently large. Aligns...
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Linear Growth I
In this task, students analyze two methods of payment to discover how an exponentially increasing quantity eventually surpasses a linearly increasing quantity. Aligns with F-LE.A.3.
Illustrative Mathematics
Illustrative Mathematics: F Le Do Two Points Always Determine a Linear Function?
For this task, students explore linear functions and whether they can always be determined by two points on the coordinate grid. It focuses on producing an explicit function f(x) in the case where the line is not vertical. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: F Le Equal Factors Over Equal Intervals
For this task, students investigate the changes that take place in the values of a function to determine that exponential functions grow by equal factors over equal intervals. Aligns with F-LE.A.1.a.
Illustrative Mathematics
Illustrative Mathematics: F Le Equal Differences Over Equal Intervals 2
For this task, students investigate the changes that take place in the values of a function to determine that linear functions grow by equal differences over equal intervals. Aligns with F-LE.A.1.a.
Illustrative Mathematics
Illustrative Mathematics: F Le Finding Parabolas Through Two Points
For this task, students are asked to find the quadratic functions that pass through two given points on a coordinate grid and to describe how their graphs are related. Aligns with F-LE.A.2.
Illustrative Mathematics
Illustrative Mathematics: F Le Linear Functions
In this problem, learners are presented with the equations of two linear functions and their intersecting graphs. They are asked to label the graphs and compute values for several points on the graphs. Aligns with F-LE.A.1.b.
Illustrative Mathematics
Illustrative Mathematics: Where Do I Go?
Students will get a chance to move around while practicing number sequences. Teachers will pre-make or buy cards numbered to 100. Give each student a card and have them move around and arrange themselves in sequential order. Multiple...
Illustrative Mathematics
Illustrative Mathematics: Red and Blue Tiles
Students will determine whether a set of objects contains an even or odd number of members using strategies such as pairing objects or attempting to divide the objects into two equal subgroups. Discussion questions and explanations are...
Illustrative Mathematics
Illustrative Mathematics: Counting Dots in Arrays
This task aims to show students that there is often more than one way to represent a quantity. This lesson plan also lays a foundation for students to understand the commutative property of multiplication.