6.RP, 7.RP.3 Climbing the steps of El Castillo

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Chichén Itzá was a Mayan city in what is now Mexico. The picture below shows El Castillo, also known as the pyramid of Kukulcán, which is a pyramid loc...

Material Type: Activity/Lab

Author: Illustrative Mathematics

6.EE,G Sierpinski's Carpet

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Take a square with area 1. Divide it into 9 equal-sized squares. Remove the middle one. What is the area of the figure now? Take the remaining 8 square...

Material Type: Activity/Lab

Author: Illustrative Mathematics

8.G Finding isosceles triangles

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Mrs. Lu has asked students in her class to find isosceles triangles whose vertices lie on a coordinate grid. For each student example below, explain wh...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.RP.3 Lincoln's math problem

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: If 100 dollars in one year gain $3\frac12$ dollars interest, what sum will gain \$38.50 cents in one year and a quarter?...

Material Type: Activity/Lab

Author: Illustrative Mathematics

8.SP Laptop Battery Charge

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Jerry forgot to plug in his laptop before he went to bed. He wants to take the laptop to his friend's house with a full battery. The pictures below sho...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.RP Proportionality

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: A text book has the following definition for two quantities to be directly proportional: We say that $y$ is directly proportional to $x$ if $y=kx$ for ...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.RP Walk-a-thon 2

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Julianna participated in a walk-a-thon to raise money for cancer research. She recorded the total distance she walked at several different points in ti...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.G The Circumference of a Circle and the Area of the Region it Encloses

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: What is the definition of a circle with center $A$ and radius $r$? A circle has center $A$ and radius $AB$. Is point $A$ on the circle? Is point $B$ on...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.SP.8 – Tetrahedral Dice

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: 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 d...

Material Type: Activity/Lab

Author: Illustrative Mathematics

8.NS Placing a square root on the number line

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Place $\sqrt{28}$ on a number line, accurate to one decimal point....

Material Type: Activity/Lab

Author: Illustrative Mathematics

8.G Two Triangles' Area

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Let $A$ be the area of a triangle with sides of length 25, 25, and 30. Let $B$ be the area of a triangle with sides of length 25, 25, and 40. Find $A/B...

Material Type: Activity/Lab

Author: Illustrative Mathematics

8.EE Proportional relationships, lines, and linear equations

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Lines $L$ and $M$ have the same slope. The equation of line $L$ is $4y=x$. Line $M$ passes through the point $(0, -5)$. What is the equation of line $M...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.RP How Fast is Usain Bolt?

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Jamaican sprinter Usain Bolt won the 100 meter sprint gold medal in the 2012 Summer Olympics. He ran the 100 meter race in 9.63 seconds. There are abou...

Material Type: Activity/Lab

Author: Illustrative Mathematics

6.RP Walk-a-thon 1

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Julianna participated in a walk-a-thon to raise money for cancer research. She recorded the total distance she walked at several different points in ti...

Material Type: Activity/Lab

Author: Illustrative Mathematics

8.SP Animal Brains

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Is there an association between the weight of an animal’s body and the weight of the animal’s brain? 1. Make a scatterplot using the following data. Bo...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.SP.6 Heads or Tails

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Each of the 20 students in Mr. Anderson's class flipped a coin ten times and recorded how many times it came out heads. How many heads do you think you...

Material Type: Activity/Lab

Author: Illustrative Mathematics

6.SP4, 5c Puzzle Times

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Each of the 20 students in Mr. Anderson's class timed how long it took them to solve a puzzle. Their times (in minutes) are listed below: Student123456...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.G Designs

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Find the area and perimeter of the colored part of each of the six figures below. The purple, blue, orange, red, and green figures are composed of smal...

Material Type: Activity/Lab

Author: Illustrative Mathematics

8.EE Sammy's Chipmunk and Squirrel Observations

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: For a science project, Sammy observed a chipmunk and a squirrel stashing acorns in holes. The chipmunk hid 3 acorns in each of the holes it dug. The sq...

Material Type: Activity/Lab

Author: Illustrative Mathematics

6.EE Seven to the What?!?

(View Complete Item Description)

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: What is the last digit of $7^{2011}$? Explain. What are the last two digits of $7^{2011}$? Explain....

Material Type: Activity/Lab

Author: Illustrative Mathematics