Test #1
There are 8 circles, 3 of which are shaded.
If a student said they got 9/3, what is the whole unit?
1 circle (9/3 of 1 circle)
Rewrite 327.16 million in at least 4 different ways
Various answers
Jessie has 14 marbles and Zuri has 40 marbles. If Zuri gives Jessie all her marbles, how many does Jessie have? Solve using base-ten blocks and use pictures/steps
54 marbles
28 + 27
30 and 30 is 60, but then you need to take away. First 2, and get 58, then 3, and get 55
Identify student strategy and analyze student work
Compensation
2 hexagons and 2 rhombi represent 2 2/3 of a whole. What is the whole?
1 hexagon or 3 rhombi
If 1 big cube, 10 flats, 950 smc, and 500 sm flats are worth 3, what is worth one?
10 flats or 1 Big Cube
Harold charges $17 an hour for tutoring. In one week she made $68. How many hours did Harold work?
What view of division is this?
4 hours
Measurement
3 rhombi = 1 whole unit
Show 3/6 in two different ways
3 triangles or 1 trapezoid
Determine the value of each pattern block (triangle, rhombus, and trapezoid)
if 3 hexagons= 1 whole unit
Trapezoid=1/6
Rhombus= 1/9
Triangle= 1/36
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
123 + 56
Solve using two different strategies
179
In the number 345.267 the value of the place occupied by the digit 3 is how many times as great as the value of the place occupied by the digit 6?
10,000 times as great
Identify which fraction is greater:
5/8
5/12
5/8
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 2/4 or 1 1/2
59 - 28
(50 + 9) - (20+8)
50 - 20= 30
9-8= 1
30 +1= 31
Identify the strategy used and analyze the student's strategy
Partial differences
How many tens are in 3642? Determine which are correct or incorrect
Student responses:
Student A: 40 tens
Student B:364 tens
Student C: 364.2 tens exactly
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
4/8 of Barbie's pattern blocks are the same as 1/3 of Ben's pattern blocks. Who has fewer total pattern blocks, and what fraction is the lesser amount compared to the larger?
Barbie has fewer blocks
2/3 of Ben's Blocks
If 3 rods and 4 smc is 1/10, what is 1/100?
3 smc and 4 sm flats
Shawn has 14 first-grade students. He buys 126 pencils as birthday favors for his students. Can he divide the pencils equally among his students? How many pencils does each student get?
What view of division is this?
Yes. Each student gets 9 pencils.
Partitive division
Nick receives his paycheck for the month. He spends 3/8 of it on food. He then spends 3/5 of what remains on his house payment. He spends 1/3 of what is left on his other bills. Finally, he spends 1/4 of the remaining money on entertainment. This leaves him with $100. What was his original paycheck amount?
$800 was his original paycheck amount