Illustrative Mathematics
Illustrative Mathematics: N cn.a and N cn.a.1: Complex Number Patterns
This task serves as a possible first student exploration after an initial introduction to the form and arithmetic of complex multiplication. Students need to understand that every complex number can be expressed in the form a+bi, and...
Illustrative Mathematics
Illustrative Mathematics: A sse.b.3: Profit of a Company
This task compares the usefulness of different forms of a quadratic expression. Students have to choose which form most easily provides information about the maximum value. Aligns with A-SSE.B.3.
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: Measuring Cups
This task could form part of a classroom activity where learners are encouraged to find as many different ways as possible to make different fractions such as 1/12 and then share their methods. While measuring cups would be helpful to...
Illustrative Mathematics
Illustrative Mathematics: S Id.6 Used Subaru Foresters
Help Jane sell her Forrester! Using the data given, students will make an appropriate plot with well-labeled axes that would allow you to see if there is a relationship between price and age and between price and mileage. Students are...
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: 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...