Illustrative Mathematics
Illustrative Mathematics: 8.g.b.7: Spiderbox
The purpose of this task is for students to work on their visualization skills and to apply the Pythagorean Theorem. Aligns with 8.G.B.7.
Illustrative Mathematics
Illustrative Mathematics: 6.rp Friends Meeting on Bicycles
Students use ratio and rate to answer five questions in this real-world math performance task.
Illustrative Mathematics
Illustrative Mathematics: 6.rp Kendall's Vase Tax
Students use percentage and addition to answer this real-world math performance task: Kendall bought a vase that was priced at $450. In addition, she had to pay 3% sales tax. How much did she pay for the vase?
Illustrative Mathematics
Illustrative Mathematics: 6.rp Dana's House
Students use ratio and rate to solve this real-world math performance task: The lot that Dana is buying for her new one story house is 35 yards by 50 yards. Dana's house plans show that her house will cover 1,600 square feet of land....
Illustrative Mathematics
Illustrative Mathematics: 6.rp Mangos for Sale
Students use ratios and unit rates to answer this performance task.
Illustrative Mathematics
Illustrative Mathematics: 6.rp Gianna's Job
Students use ratios and rates to answer two questions in this performance task.
Illustrative Mathematics
Illustrative Mathematics: 6.rp Overlapping Squares
Students use ratio and rate to answer this performance task: The data transfer rate of an Internet connection is the rate in bytes per second that a file can be transmitted across the connection. Data transfer is typically measured in...
Illustrative Mathematics
Illustrative Mathematics: 6.rp Data Transfer
Students use unit rates to answer two questions in this real-world math performance task.
Illustrative Mathematics
Illustrative Mathematics: 6.rp Mixing Concrete
Students use ratio and rate to answer this performance task: A mixture of concrete is made up of sand and cement in a ratio of 5 : 3. How many cubic feet of each are needed to make 160 cubic feet of concrete mix?
Illustrative Mathematics
Illustrative Mathematics: 6.rp Currency Exchange
Students use ratio and rate to answer this performance task: Joe was planning a business trip to Canada, so he went to the bank to exchange $200 U.S. dollars for Canadian dollars (at a rate of $1.02 CDN per $1 US). On the way home from...
Illustrative Mathematics
Illustrative Mathematics: Choral Counting Ii
Using a 100 chart, students will chant the counting sequence starting with one to one hundred. Variations can include skip counting, counting from various numbers other than one, and counting backward.
Illustrative Mathematics
Illustrative Mathematics: Favorite Ice Cream Flavor
The purpose of this task is for students to represent and interpret categorical data. As a class, students will answer a question with three possible answers and construct a bar graph with the responses. Multiple discussion questions and...
Illustrative Mathematics
Illustrative Mathematics: Weather Graph Data
The purpose of this task is for students to represent and interpret weather data, as well as answer questions about the data they have recorded. Student worksheets and recording sheet are included.
Illustrative Mathematics
Illustrative Mathematics: Comparing Numbers
This task is a fun partner game in which students practice making two-digit numbers, decide which is greater, and write the appropriate comparison symbolically.
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.4: Triangle Series
The purpose of this task is to emphasize the adjective "geometric" in the "geometric" series, namely, that the algebraic notion of a common ratio between terms corresponds to the geometric notion of a repeated similarity transformation....
Illustrative Mathematics
Illustrative Mathematics: A sse.b.3: Profit of a Company
This task compares the usefulness of different forms of a quadratic expression. Learners have to choose which form most easily provides information about the maximum value. Aligns with A-SSE.B.3.
Illustrative Mathematics
Illustrative Mathematics: Measuring Variability in a Data Set
The purpose of this student task is to develop understanding of standard deviation. Aligns with S-ID.A.2 and S-ID.A.3.
Illustrative Mathematics
Illustrative Mathematics: Describing Events
The purpose of this task is to review the definitions of sample space and events. Students are asked to describe events both verbally and as subsets of a sample space. Aligns with S-CP.A.1.
Illustrative Mathematics
Illustrative Mathematics: N cn.a.2, N cn.b.5, and N cn.c.8 Complex Cube Roots
This task has students further their understanding of the algebra of the complex numbers. Aligns with N-CN.A.2, N-CN.B.5,a nd N-CN.C.8.
Illustrative Mathematics
Illustrative Mathematics: N q.a.3: Dinosaur Bones
The purpose of this task is to illustrate through an absurd example the fact that in real life quantities are reported to a certain level of accuracy, and it does not make sense to treat them as having greater accuracy. Aligns with N-Q.A.3.
Illustrative Mathematics
Illustrative Mathematics: N q.a.3: Calories in a Sports Drink
The goal of the task is to stimulate a conversation about rounding and about how to record numbers with an appropriate level of accuracy, tying in directly to the standard N-Q.3. Aligns with N-Q.A.3.
Illustrative Mathematics
Illustrative Mathematics: N q.a.3 and F le.a.4: Accuracy of Carbon 14 Dating Ii
This task is a refinement of "Carbon 14 dating" which focuses on accuracy. Aligns with N-Q.A.3 and F-LE.A.4.
Illustrative Mathematics
Illustrative Mathematics: N q.a.3: Bus and Car
This task it is an exploration of the relationship between speed, distance, and time. An understanding average speed gives an opportunity to address common confusion between average speed and the average of the speeds for the two...