Illustrative Mathematics
Illustrative Mathematics: S Ic Why Randomize?
The exercise demonstrates that judgment (non-random) samples tend to be biased in the sense that they produce samples that are not balanced with respect to the population characteristics of interest. Students will estimate the mean...
Illustrative Mathematics
Illustrative Mathematics: S Id, F if Laptop Battery Charge
This task uses a situation that is familiar to students to solve a problem they probably have all encountered before: How long will it take until an electronic device has a fully charged battery? Given data, students perform a variety of...
Illustrative Mathematics
Illustrative Mathematics: S Id.6a,7 Olympic Men's 100 Meter Dash
This task asks students to identify when two quantitative variables show evidence of a linear association and to describe the strength and direction of that association. Students will use a scatterplot showing the finishing times for the...
Illustrative Mathematics
Illustrative Mathematics: S Ic Strict Parents
For this task, students want to estimate the proportion of students in the school who thought of their parents as "strict". They do not have time to interview all 1000 students, so they plan to obtain data from a sample of students....
Illustrative Mathematics
Illustrative Mathematics: S Id.4 Should We Send Out a Certificate?
Should Fred receive a certificate for scoring in the top 2.5% of a statewide standardized test? Given the test scores for a large population and the mean and standard deviation, students will decide if Fred's score is good enough....
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: S Md.2 Bob's Bagel Shop
The purpose of this task is to assess a student's ability to compute and interpret an expected value. Notice that interpreting expected value requires thinking in terms of a long-run average. Young scholars will help Bob the bagel man...
Illustrative Mathematics
Illustrative Mathematics: G Co Seven Circles Ii
In this task, seven pennies are placed in a circle so that they are all touching one in the center and their neighbors. Students are asked to find as many rigid motions of the plane as they can which are symmetries of this configuration...
Illustrative Mathematics
Illustrative Mathematics: G Co, G Srt Seven Circles I
In this task, seven pennies are placed in a circle so that they are all touching one in the center and their neighbors. The question is whether this will work with other equally-sized circles. Aligns with G-SRT.C and G-CO.C.10.
Illustrative Mathematics
Illustrative Mathematics: G Co Properties of Congruent Triangles
The goal of this task is to understand how congruence of triangles, defined in terms of rigid motions, relates to the corresponding sides and angles of triangles. Aligns with G-CO.B.7.
Illustrative Mathematics
Illustrative Mathematics: G Co Angle Bisection and Midpoints of Line Segments
This task provides a construction of the angle bisector of an angle by reducing it to the bisection of an angle to finding the midpoint of a line segment. Aligns with G-CO.D.12.
Illustrative Mathematics
Illustrative Mathematics: 7.sp Rolling Twice
A fair six-sided die is rolled twice. What is the theoretical probability that the first number that comes up is greater than or equal to the second number? Aligns with 7.SP.C.8.
Illustrative Mathematics
Illustrative Mathematics: 7.sp Sitting Across From Each Other
Angie, Bridget, Carlos, and Diego are seated at random around a square table, one person to a side. What is the theoretical probability that Angie and Carlos are seated opposite each other? Aligns with 7.SP.C.8.a.
Illustrative Mathematics
Illustrative Mathematics: 7.sp Election Poll, Variation 3
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% of the...
Illustrative Mathematics
Illustrative Mathematics: 7.sp Waiting Times
Suppose each box of a popular brand of cereal contains a pen as a prize. The pens come in four colors, blue, red, green and yellow. Each color of pen is equally likely to appear in any box of cereal. Design and carry out a simulation to...
Illustrative Mathematics
Illustrative Mathematics: 7.sp Estimating the Mean State Area
The table below gives the areas (in thousands of square miles) for each of the lower 48 states. This serves as the population for this study. Your task involves taking small samples from this population and using the sample mean to...
Illustrative Mathematics
Illustrative Mathematics: 7.sp Election Poll, Variation 1
Members of the seventh grade math group have nominated a member of their group to be class president. Every student in seventh grade will cast a vote. There are 2 candidates in the race and a candidate needs at least 50% of the votes to...
Illustrative Mathematics
Illustrative Mathematics: 7.sp Stay or Switch?
You are playing a video game. At the end of every level, there are three boxes. One contains 10,000 points, and the other two are empty. You are allowed to choose one of the boxes, but before the one you choose opens, one of the other...
Illustrative Mathematics
Illustrative Mathematics: 7.sp Red, Green, or Blue?
This is a lesson plan for a probability game for two people. Aligns with 7.SP.C.8.
Illustrative Mathematics
Illustrative Mathematics: 7.sp.3,4 College Athletes
Below are the heights of the players on the University of Maryland women's basketball team for the 2012-2013 season and the heights of the players on the women's field hockey team for the 2012 season. (Accessed at...
Illustrative Mathematics
Illustrative Mathematics: 7.sp Rolling Dice
Roll two dice 10 times. After each roll, note whether any sixes were observed and record your results in the table below. Aligns with 7.SP.C.7.
Illustrative Mathematics
Illustrative Mathematics: 6.rp, 6.ee Fruit Salad
A fruit salad consists of blueberries, raspberries, grapes, and cherries. The fruit salad has a total of 280 pieces of fruit. There are twice as many raspberries as blueberries, three times as many grapes as cherries, and four times as...
Illustrative Mathematics
Illustrative Mathematics: 7.rp Track Practice
Angel and Jayden were at track practice. The track is $\frac25$ kilometers around. Aligns with 7.RP.A.
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...