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7.RP Buying Bananas, Assessment Version

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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: Carlos bought $6\frac12$ pounds of bananas for \$5.20. What is the price per pound of the bananas that Carlos bought?[_____] What quantity of bananas w...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.RP The Price of Bread

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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: Inflation is a term used to describe how prices rise over time. The rise in prices is in relation to the amount of money you have. The table below show...

Material Type: Activity/Lab

Author: Illustrative Mathematics

Comparing Years

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Many students will not know that when comparing two quantities, the percent decrease between the larger and smaller value is not equal to the percent increase between the smaller and larger value. Students would benefit from exploring this phenomenon with a problem that uses smaller values before working on this one.

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.RP.3 Lincoln's math problem

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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

7.SP Rolling Twice

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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 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 nu...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.SP.6 Heads or Tails

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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

Rolling Dice

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his task is intended as a classroom activity. Student pool the results of many repetitions of the random phenomenon (rolling dice) and compare their results to the theoretical expectation they develop by considering all possible outcomes of rolling two dice. This gives them a concrete example of what we mean by long term relative frequency.

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.SP Red, Green, or Blue?

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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: This is a game for two people. You have three dice; one is red, one is green, and one is blue. These dice are different than regular six-sided dice, wh...

Material Type: Activity/Lab

Author: Illustrative Mathematics

Waiting Times

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As the standards in statistics and probability unfold, students will not yet know the rules of probability for compound events. Thus, simulation is used to find an approximate answer to these questions. In fact, part b would be a challenge to students who do know the rules of probability, further illustrating the power of simulation to provide relatively easy approximate answers to wide-ranging problems.

Material Type: Activity/Lab

Author: Illustrative Mathematics

Raising to the zero and negative powers

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The goal of this task is to use the quotient rule of exponents to help explain how to define the expressions c^k for c>0 and k≤0. This important definition is motivated and explained by the law of exponents: adopting the definitions for the expressions c^0 and c^−n given in the task allows us to maintain the intuitive product and quotient rules known for all positive exponents (which this task assumes students are familiar with).

Material Type: Activity/Lab

Author: Illustrative Mathematics

8.EE Orders of Magnitude

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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: It is said that the average person blinks about 1000 times an hour. This is an order-of-magnitude estimate, that is, it is an estimate given as a power...

Material Type: Activity/Lab

Author: Illustrative Mathematics

Ant and Elephant

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In this problem students are comparing a very small quantity with a very large quantity using the metric system. The metric system is especially convenient when comparing measurements using scientific notations since different units within the system are related by powers of ten.

Material Type: Activity/Lab

Author: Illustrative Mathematics

Peaches and Plums

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This task allows students to reason about the relative costs per pound of the two fruits without actually knowing what the costs are. Students who find this difficult may add a scale to the graph and reason about the meanings of the ordered pairs. Comparing the two approaches in a class discussion can be a profitable way to help students make sense of slope.

Material Type: Activity/Lab

Author: Illustrative Mathematics

Equations of Lines

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This task requires students to use the fact that on the graph of the linear equation y=ax+c, the y-coordinate increases by a when x increases by one. Specific values for c and d were left out intentionally to encourage students to use the above fact as opposed to computing the point of intersection, (p,q), and then computing respective function values to answer the question.

Material Type: Activity/Lab

Author: Illustrative Mathematics

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