A
These are Polya's 4 Steps (in order).
What are :Understand
Plan
Solve
Look Back
This is the Identity Property of Addition. Give an example.
What is 5 + 0 = 5
Using a Place Value Chart, show how you would add the following:
148 + 64
148 + 64 = 212
This is the Commutative Property of Addition. Give an example.
3 + 4 = 4 + 3
Using the Part-Part-Whole or Number Bond Model, answer the following and show your work:
Ms. Davie’s has 18 students. Seven of her students are girls. How many boys are in Ms. Davie’s class?
18 - 7 = 11 boys
Frankie and Johnny began reading a novel on the same day. Frankie reads 8 pages a day and Johnny reads 5 pages a day. If Frankie is on page 72, what page is Johnny on? Explain how you know.
Frankie 8x = 72 x = 9 days reading
Johnny 5(9) = 45 pages
Johnny is on page 45
Using a Place Value Chart, solve the following by showing your work:
103 - 47
103 - 47 = 56
These are the specific names of a addition problem.
2 + 3 = 5
What are addends and sum.
Addend + Addend = Sum
Using the Number Line Model, solve the following and show your work:
One day, Gail drank 6 ounces of orange juice in the morning and 5 ounces at lunchtime. If she drank no other orange juice that day, how many ounces of orange juice did she drink for the entire day?
Gaile drank 11 ounces of orange juice.
This is the Associative Property of Addition. Give an example.
(3 + 4) + 2 = 3 + (4 + 2)
These are positive and negative whole numbers. What are they called?
Integers … -3, -2, -1, 0, 1, 2, 3 …
Use a number line to show how to solve the following problem:
5 x 3
On a number line you would see 5 jumps of 3.
This is an example of the Identity Property of Multiplication.
Write the following in Expanded Form
1385
Expanded Form
1000 + 300 + 80 + 5
Use a factor tree to show your work in solving the following problem:
GCF (90, 120)
Work may vary. Check the work of others.
What do they have in common? 2 x 3 x 5
The solution is: 30
These are the specific names of a subtraction problem:
124 - 68 = 56
Minuend - Subtrahend = Difference
Demonstrate using a Place Value Chart by showing your work the following problem:
1235 / 3 (1235 divided by 3)
Show your work.
Convert 17 to Base 5. Show your work
17 = 325
Three groups of 5 with 2 left overxxxxx xxxxx xxxxx xx
Next number after 245? Explain your thinking.
It is 305 since you can only use the digits 1,2,3,4
Show two different strategies that students can use to solve: 18 x 5
10 x 5 = 50
8 x 5 = 40
(9 x 5) + (9 x 5) = 90 (halve and double)
In a survey that investigated the high school backgrounds of 110 college freshmen, the following information was gathered:
25 took physics45 took biology
48 took mathematics
10 took physics and mathematics
8 took biology and mathematics
6 took physics and biology
5 took all 3 subjects
How many students took biology but neither physics nor mathematics?
How many took physics, biology, or mathematics?
How many did not take any of the three subjects?
36 took biology but neither physics nor math
99 took physics, biology, or math
11did not take any of the three subjects
64 + 33
Adding Tens, adding Ones, then adding Tens and Ones together.
60 + 30 = 90
4 + 3 = 7
90 + 7 = 97
-11 - (-6)
-11 + 6 = -5
Why is the absolute value of any number always positive?
The absolute value is a distance measurement, which always has to be positive.
Show how a student would find the GCF of 24 & 40.
F24 = (1,2,3,4,6,8,12,24)
F40 = (1,2,4,5,8,10,20,40)