Name: _______________________ Period: _____ Date: ___________
Algebra
Algebraic Thinking
Problem 1
Which block, cylinder, sphere, or cube will balance Scale C? ____________________ Explain how
you figured that out:
Problem 2
Which block, cylinder, sphere, or cube will balance Scale F? ____________________ Explain how
you figured that out:
Do not worry about your problems with mathematics, I assure you mine are far greater.
–Albert Einstein
Name: _______________________ Period: _____ Date: ___________
Algebra
Problem 3
Find the weight of each block.
cylinder = ________
sphere = ________
cube = ________
Problem 4
Find the weight of each block.
cylinder = ________
sphere = ________
cube = ________
Problem 5
These signs tell about some items for sale. Same items have same prices. Different items have
different prices. How much is:
helmet = ________
bell = ________
bike = ________
Do not worry about your problems with mathematics, I assure you mine are far greater.
–Albert Einstein
Name: _______________________ Period: _____ Date: ___________
Algebra
Problem 6
This is a staircase Deion built. He used 3 blocks for the 1st stair, 6 blocks for the 2nd stair, 9
blocks for the 3rd stair, and so on, using 3 more blocks for each higher stair.
Complete this table.
Stair Number
Number of Blocks
Total Number of Blocks
1
3
3
2
6
9
3
9
18
4
5
10
20
S
𝐵=
Do not worry about your problems with mathematics, I assure you mine are far greater.
–Albert Einstein
Name: _______________________ Period: _____ Date: ___________
Algebra
Problem 7
This is a series of growing cubes, with one small cube on top. Imagine the building pattern
continues. How many blocks will it take to build:
a. Cube 7?
b. Cube 20?
c. Write a function rule to relate the number of blocks in a cube to the cube number. Let N
represent the cube number. Let B represent the number of blocks in a shape.
Problem 8
This is a series of growing shapes. Imagine that the building pattern continues. How many
blocks will it take to build:
a. Shape 8? ___________
b. Shape 12? ___________
c. Write a function rule to relate the number of blocks in a shape to the shape number. Let N
represent the shape number. Let B represent the number of blocks in a shape.
Do not worry about your problems with mathematics, I assure you mine are far greater.
–Albert Einstein