6th Grade Math Textbook, Progress

Solve each problem. Find a pattern to help you.

0 1. In a science experiment, Joel discovered

that his record of the changes in a liquid’s

temperature formed a pattern. In each of

the first 3 minutes, the temperature increased

1.5° F; in each of the next 2 minutes, it

decreased 0.75° F. Then this pattern repeated

itself. If Joel started measuring the

temperature at 50° F, how long would it take

the temperature to reach 62° F?

Visualize yourself in the problem above as

you reread it. List the facts and the question.

Facts: each of first 3 min–increase 1.5° F

each of next 2 min–decrease 0.75° F

starting temperature–50° F

Question:How long will it take the temperature

to reach 62° F?

To find how many minutes it will take to reach 62° F,

make a table to list the time and degrees

increased or decreased. Look for a pattern.

0 2. Alice makes a necklace with 24 red and white beads. If she

creates a pattern of 1 red and 3 white beads, how many red

beads will she use? how many white beads?

0 3. Find the next three terms in this sequence:


^18 
, 
^12 
, 
^38 
, 
^34 
, 
^58 
, 1. What is the pattern?

0 4. Hector caught 2 fish on Monday, 4 on Tuesday, 8 on Wednesday,

16 on Thursday, and so on. Following this pattern, how many fish

did he catch on Saturday?

0 5. Crystal builds a tower out of blocks for her little brother.

She uses 7 blocks. The edge of each block is 1


1

4 
in. shorter

than the edge of the block under it. If the bottom block is 9


3

4 
in.

on each edge, how long is the edge of the top block?

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