Lesson 1
Mystery Bags
Let's make predictions based on what we know.
Problem 1
Lin is interested in how many of her classmates watch her favorite TV show, so she starts asking around at lunch. She gets the following responses:
- yes
- yes
- yes
- no
- no
- no
- no
- no
- no
- no
- yes
- no
- no
- no
If she asks one more person randomly in the cafeteria, do you think they will say “yes” or “no”? Explain your reasoning.
Problem 2
An engineer tests the strength of a new material by seeing how much weight it can hold before breaking. Previous tests have held these weights in pounds:
- 1,200
- 1,400
- 1,300
- 1,500
- 950
- 1,600
- 1,100
Do you think that this material will be able to hold more than 1,000 pounds in the next test? Explain your reasoning.
Problem 3
A company tests two new products to make sure they last for more than a year.
- Product 1 had 950 out of 1,000 test items last for more than a year.
- Product 2 had 150 out of 200 last for more than a year.
If you had to choose one of these two products to use for more than a year, which one is more likely to last? Explain your reasoning.
Problem 4
Put these numbers in order from least to greatest.
- \(\frac{1}{2}\)
- \(\frac{1}{3}\)
- \(\frac{2}{5}\)
- 0.6
- 0.3
Problem 5
A small staircase is made so that the horizontal piece of each step is 10 inches long and 25 inches wide. Each step is 5 inches above the previous one. What is the surface area of this staircase?
![A small staircase consisting of 3 steps is indicated.](https://cms-im.s3.amazonaws.com/CjCkNtbvAWiEMnqT7jQBrPcP?response-content-disposition=inline%3B%20filename%3D%227-7.6.C.PP.Image.09.png%22%3B%20filename%2A%3DUTF-8%27%277-7.6.C.PP.Image.09.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T162746Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=f6545d6708c790d71eea0b7557b381d5b1d56313a09a732814026decd039b3da)