Number Line
The piece of carpet runner is 1 3/4 units long (a rectangle). Show the units indicated in parts (a-c)
a. 1/3 units
b. 2 units
c. 1 1/4
d. If the 1 3/4 unit piece was for sale for $3.50, what would be a fair price for 1 unit?
a-c) show visually
d) 0.875
How many tens are in 3642? Determine which are correct or incorrect
Student responses:
Student A: 40 tens
Student B:364 whole tens
Student C: 364.2 exact tens
Student A is incorrect
Student B is correct if we are talking about whole tens
Student C is correct if we are talking about exact tens
Use base ten blocks to represent 276 in 6 different ways
Various answers
Lucy has 2 blue rhombus and two red trapezoids. This is five-fourths of the amount that Charlie Brown has. What pattern blocks could Charlie Brown have?
8 triangles or 1 rhombus and 2 trapezoids
Draw a number line. Find the point on the number line that is 1/3 of the way between 1 and 2 1/2
1.5 or 1 1/2
124.78 can be thought of as...
Tina: 12 tens, 4 ones, 78 tenths
Mary: 120 ones and 47.8 tenths
Chris: 12478 hundredths
(Determine who is correct or incorrect; fix incorrect answers)
Tina: 7.8 tenths instead of 78 tents
Mary: Is correct
Chris: Is correct
What is the smallest number of base ten pieces that can be used for representing 22 flats, 12 rods, and 17 smc?
15 pieces
Linus has 6/4 of the size of Lucy’s apple pie. Linus has a half circle.
How much apple pie might Lucy have? Explain.
Show visually
Compare the following decimals. Place the decimals in order from least to greatest and represent each decimal using:
• Base ten blocks
• Expanded notation
• Precisely plotting each number on a number line
0.3, 0.303, 0.33, 1, 0
Show visually
613.05 tens can be thought of as...
Student A: 6130.5 ones
Student B: 61.305 thousands
Student C: 613050 tenths
Correct wrong answers (Keep place value unit the same; change the number)
Student A: 6130.5 ones
Student B: 6.1305 thousands
Student C: 61305 tenths
How many thousands fit into the following number? How many thousandths? Find both the exact thousands/thousandths and whole thousands/thousandths.
7431.92
7.43192 Exact thousands and 7 whole thousands
7,431,920 thousandths
Rewrite 327.16 million in at least 4 different ways
Various answers
Draw a number line. Find the point on the number line that is 3/4 of the way from 1/4 to 3 1/4
2 2/4, 2 1/2, or 2.50
A student says $200 million is 1/5 of a billion dollars. Are they correct? How do you know?
They are correct
Can 576 thousand be represented as 5.76 million?
No
.576 million or 5.76 hundred thousand
A student said that the digit 6 in the following number represents 600. Is the student correct? Why or why not?
6201.9
Student is incorrect. Digit 6 represents 6,000 not 600