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Number Puzzles: IM 8.4.1
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1. Lesson 8.4.1
- IM 8.4.1 Lesson: Number Puzzles
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2. Practice 8.4.1
- IM 8.4.1 Practice: Number Puzzles
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Number Puzzles: IM 8.4.1
IM 6 – 8 Math, GeoGebra Classroom Activities, Aug 10, 2020
“Number Puzzles” from IM Grade 8 by Open Up Resources and Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 license.
Table of Contents
- Lesson 8.4.1
- IM 8.4.1 Lesson: Number Puzzles
- Practice 8.4.1
- IM 8.4.1 Practice: Number Puzzles
IM 8.4.1 Lesson: Number Puzzles
What do you notice? What do you wonder?
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Solve each puzzle. Show your thinking. Organize it so it can be followed by others.
The temperature was very cold. Then the temperature doubled.
Then the temperature dropped by 10 degrees. Then the temperature increased by 40 degrees. The temperature is now 16 degrees. What was the starting temperature?
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Lin ran twice as far as Diego. Diego ran 300 m farther than Jada. Jada ran the distance that Noah ran. Noah ran 1200 m. How far did Lin run?
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Write another number puzzle with at least three steps.
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In this separate space below, write a solution to your puzzle.
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Trade puzzles with your partner and solve theirs. Make sure to show your thinking.
With your partner, compare your solutions to each puzzle. Did they solve them the same way you did? Be prepared to share with the class which solution strategy you like best.
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Here is a number puzzle that uses math. Some might call it a magic trick!
- Think of a number.
- Double the number.
- Add 9.
- Subtract 3.
- Divide by 2.
- Subtract the number you started with.
- The answer should be 3.
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Can you think of a different number puzzle that uses math (like this one) that will always result in 5?
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IM 8.4.1 Practice: Number Puzzles
Tyler reads of a book on Monday, of it on Tuesday, of it on Wednesday, and of the remainder on Thursday. If he still has 14 pages left to read on Friday, how many pages are there in the book?
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Clare asks Andre to play the following number puzzle:
- Pick a number
- Add 2
- Multiply by 3
- Subtract 7
- Add your original number
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In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer than Noah, and Noah scores three times as many points as Mai. If Mai scores 5 points, how many points did Elena score? Explain your reasoning.
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Select all of the given points in the coordinate plane that lie on the graph of the linear equation .
A store is designing the space for rows of nested shopping carts. Each row has a starting cart that is 4 feet long, followed by the nested carts (so 0 nested carts means there's just the starting cart). The store measured a row of 13 nested carts to be 23.5 feet long, and a row of 18 nested carts to be 31 feet long.
Create a graph of the situation in the applet below.
How much does each nested cart add to the length of the row? Explain your reasoning.
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If the store design allows for 43 feet for each row, how many total carts fit in a row?
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Triangle is an isosceles triangle with two angles of measure degrees and one angle of measure degrees.
Find three combinations of and that make this sentence true.
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Write an equation relating and .
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If you were to sketch the graph of this linear equation, what would its slope be?
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How can you interpret the slope in the context of the triangle?
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Consider the following graphs of linear equations.
Decide which line has a positive slope, and which has a negative slope. Font sizeFont size
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Calculate each line’s exact slope.
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