Illustrative Mathematics
Illustrative Mathematics: A sse.b.3.c Forms of Exponential Expressions
This task can be used for assessment, practice or even to motivate students via an in-class discussion of why it is useful to rewrite exponential expressions in equivalent forms. Aligns with A-SSE.B.3.c.
Illustrative Mathematics
Illustrative Mathematics: a.apr Combined Fuel Efficiency
The purpose of this problem is to rewrite simple rational expressions in different forms to exhibit different aspects of the expression, in the context of a relevant real-world context, in this case, the fuel efficiency of a car. A-APR.D.6.
Illustrative Mathematics
Illustrative Mathematics: G Gpe, G Co, G Srt Unit Squares and Triangles
In this task, students are shown three unit squares and two line segments connecting two pairs of vertices. They are asked to find the area of a triangle formed by intersecting lines. They can solve it using coordinate geometry or...
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: F Le Basketball Rebounds
The purpose of this task is to introduce learners 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: 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: 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 lesson plan 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: 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...