Illustrative Mathematics
Illustrative Mathematics: G Mg, G Gmd Global Positioning System Ii
Satellites communicate with a GPS device and establish the distance between them and their locations. The set of points at a fixed distance from a satellite form a sphere so when the GPS receives its distance from a given satellite, this...
Illustrative Mathematics
Illustrative Mathematics: G Gpe a Midpoint Miracle
In this task, students are asked to draw a quadrilateral so that no two sides are congruent, no two angles are congruent, and no two sides are parallel. The task gives students the opportunity to prove that if we join the midpoints of a...
Illustrative Mathematics
Illustrative Mathematics: Counting Circles
This active counting game gets the kids up and moving! Young scholars form a circle and start counting around the circle one by one until the last number (chosen ahead of time by the teacher) in the sequence is reached. When the last...
Illustrative Mathematics
Illustrative Mathematics: Finding Equal Groups
This activity will test how quickly students can count objects. The teacher will assemble a variety of groups of objects in a few different forms (examples included). Students will race against the clock to sort the groups of objects...
Illustrative Mathematics
Illustrative Mathematics: F Le Basketball Rebounds
The purpose of this task is to introduce students to an exponential decay function in the form f(x) = abx, with a concrete interpretation of the decay factor b. A table shows the rebound height of a basketball for each successive bounce....
Illustrative Mathematics
Illustrative Mathematics: Counting Circles Ii
Young scholars will stand and form a circle facing in toward each other. The teacher will select a counting sequence to be practiced with no more than 6-10 numbers. The students will start counting around the circle one by one until the...
Illustrative Mathematics
Illustrative Mathematics: F If.3 Snake on a Plane
In a video game called Snake, a player moves a snake through a square region in the plane, trying to eat the white pellets that appear. This task has young scholars approach a function via both a recursive and an algebraic definition, in...
Illustrative Mathematics
Illustrative Mathematics: F if Parabolas and Inverse Functions
This task assumes an understanding of the relationship between functions and equations. Students try to solve equations in order to find the inverse of a function given in equation form: when no such solution is possible, then the...
Illustrative Mathematics
Illustrative Mathematics: S Id Math Test Grades
Ari has collected data on how much her classmates study each week and how well they did on their recent math test. Here is part of the data showing the percentage of each group (divided according to hours spent studying) who got B's or...
Illustrative Mathematics
Illustrative Mathematics: 7.sp Election Poll, Variation 2
Members of the seventh grade math group have nominated a member of their group for class president. Every student in seventh grade will cast a vote. There are only 2 candidates in the race, so a candidate must receive at least 50 percent...
Illustrative Mathematics
Illustrative Mathematics: F if Which Function?
For this task, students are presented with a graph and asked to identify the functions that could be represented by it and explain their thinking. The task addresses knowledge related to interpreting forms of functions derived by...
Illustrative Mathematics
Illustrative Mathematics: A Sse Kitchen Floor Tiles
The purpose of this task about tiling a kitchen floor is to give students practice in reading, analyzing, and constructing algebraic expressions, attending to the relationship between the form of an expression and the context from which...
Illustrative Mathematics
Illustrative Mathematics: F if.c.7.a, a sse.b.3, F if.c.7: Graphs of Quadratic
During this task, students will realize that equivalent expressions produce the same graph. The activity will lead to discussions about the value of different forms of equations. Aligns with F-IF.C.7.a, A-SSE.B.3, and F-IF.C.7.
Illustrative Mathematics
Illustrative Mathematics: 8.g Cutting a Rectangle Into Two Congruent Triangles
This task shows the congruence of two triangles formed by cutting a rectangle in half along the diagonal. Students are asked to investigate elements of congruence and transformations among the shapes. Aligns with 8.G.A.2.
Illustrative Mathematics
Illustrative Mathematics: S Id.7 Texting and Grades
Medhavi suspects that there is a relationship between the number of text messages high school students send and their academic achievement. To explore this, she asks a random sample of 52 students at her school how many text messages...
Illustrative Mathematics
Illustrative Mathematics: A rei.d.10: Collinear Points
This task leads students through a series of problems which illustrate a crucial interplay between algebra and geometry. Aligns with A-REI.D.10.
Illustrative Mathematics
Illustrative Mathematics: 8.ee Find the Change
In this task, 8th graders work with linear functions and learn how to discuss and make calculations with slope and x- and y-intercepts. Aligns with 8.EE.B.
Illustrative Mathematics
Illustrative Mathematics: A Apr Egyptian Fractions Ii
In this task, young scholars will rewrite fractions as a sum of distinct unit fractions. To solve the problem, students will rewrite a simple rational expression and will need to study the arithmetic of these unit fractions with a...
Illustrative Mathematics
Illustrative Mathematics: 7.ee Who Is the Better Batter?
Seventh graders compare the batting averages of two baseball players in this lesson.