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...
Illustrative Mathematics
Illustrative Mathematics: 7.rp Thunder and Lightning
Alyssa sees a lightning bolt in the sky and counts four seconds until she hears the thunder. Aligns with 7.RP.A.
Illustrative Mathematics
Illustrative Mathematics: 7.sp.6 Heads or Tails
Each of the 20 students in Mr. Anderson's class flipped a coin ten times and recorded how many times it came out heads. Aligns with 7.SP.C.6.
Illustrative Mathematics
Illustrative Mathematics: 7.sp.8 Tetrahedral Dice
Many games use dice which are six-sided and fair (meaning each face on the die is equally likely to land face up). Many games also use the sum of two dice rolled at the same time to determine movement of game pieces. However, not all...
Illustrative Mathematics
Illustrative Mathematics: 7.sp.3,4 Offensive Linemen
College football teams are grouped with similar teams into "divisions" (and in some cases, "subdivisions") based on many factors such as game attendance, level of competition, athletic department resources, and so on. Schools from the...
Illustrative Mathematics
Illustrative Mathematics: 7.sp.6 Tossing Cylinders
Think about a cylindrical (or cylinder-like) object, such as a bottle lid or a roll of tape. Some possible objects are shown in the picture below. Suppose you were to toss one of these objects into the air and observe their landing...
Illustrative Mathematics
Illustrative Mathematics: 7.sp.7a How Many Buttons?
Look the shirt you are wearing today, and determine how many buttons it has. Then complete the following table for all the members of your class. Aligns with 7.SP.C.7.a.
Illustrative Mathematics
Illustrative Mathematics: k.oa What's Missing?
Students will practice composing and decomposing numbers with this quick game. Show the student 6 counters. Ask the student to close his/her eyes. Hide some of the counters under a sheet of heavy paper. When the student opens his/her...