7th Grade Math

GLE 0706.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including estimation,

and reasonableness of the solution. Also addresses GLE 0706.1.5, SPI 0706.1.2.

100 Integers

Problem-Solving Investigation

Multiply and Divide Integers

PART A BCD

Main Idea Solve problems by looking for a pattern.

Look for a Pattern

LAURA: I’ve been practicing free throws every day

after school to get ready for basketball tryouts.

Now, I can make 3 free throws out of every

5 attempts.

YOUR MISSION: Look for a pattern to find the number

of free throws Laura can make after 30 attempts.

Understand Laura can make an average of 3 free throws out of every 5 attempts. You need

to find the number of free throws she can make after 30 attempts.

Plan Look for a pattern. Then extend the pattern to find the solution.

Solve Laura can make 3 free throws out of every 5 she attempts. Extend the pattern.

+ 5 + 5 + 5 + 5 + 5

+ 3 + 3 + 3 + 3 + 3

Free throws 3 6 9 12 15 18

Attempts 5 1015202530

She can make 18 free throws out of 30 attempts.

Check She makes free throws a little more than half the time. Since 18 is a little more

than 15, the answer is reasonable. ✓

1. Suppose Laura can make 4 out of 5 attempts. Find the number of free
   throws she can make after 30 attempts.

Multi-Part

Lesson 3

100_101_PSI_895130.indd 100 12/29/09 12:41 PM