1. Alignment: 5.OA.1 Grade 5
Domain: Operations and Algebraic Thinking Cluster: Write and interpret numerical expressions. Standard: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Evaluate the following numerical expressions. 2×5+3×2+4 2×(5+3)×2+4 2×(5+3×2+4) (2×5)+(3×2)+4 2×5+3×(2+4) 2×(5+3)×(2+4) Can the parentheses in any of these expressions be removed without changing the value of the expression?

2. Alignment: 5.NF.6 Grade 5
Domain: Number and Operation - Fractions Cluster: Apply and extend previous understandings of multiplication and division to multiply and divide fractions. Standard: Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Kendra is making ½ of a recipe. The full recipe calls for 3¼ cups of flour. How many cups of flour should Kendra use?

3. Alignment: 4.OA.2 Grade 4
Domain: Operations and Algebraic Thinking Cluster: Use the four operations with whole numbers to solve problems. Standard: Multiply or divide to solve word problems involving multiplicative comparison. A. Helen raised $12 for the food bank last year and she raised 6 times as much money this year. How much money did she raise this year? B. Sandra raised $15 for the PTA and Nita raised $45. How many times as much money did Nita raise as compared to Sandra? C. Luis raised $45 for the animal shelter, which was 3 times as much money as Anthony raised. How much money did Anthony raise?

4. Alignment: 4.OA.5 Grade 4 What do you notice about your answers?
Domain: Operations and Algebraic Thinking
Cluster: Generate and analyze patterns.
Standard: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself.

For every number listed, multiply it by 2 and add 1.
What do you notice about your answers?
B. Sherri noticed that all the numbers she entered are odd.
Does an even number multiplied by 2 result in an even or
odd number? Why do you think this is?
Does an odd number multiplied by 2 result in an even or
Does an even number plus 1 result in an even or odd
number? Why do you think this is?
Does an odd number plus 1 result in an even or odd
number ? Why do you think this is?
Explain why the numbers you entered in the table are all odd.
Number
Answer 1 2 3 4 5 10 23 57
100
309

5. Alignment: 3.OA.2 Grade 3 Domain: Operations and Algebraic Thinking
Cluster: Represent and solve problems involving multiplication and division.
Standard: Interpret whole-number quotients of whole numbers. 

Presley has 18 markers. Her teacher gives her three boxes and asks her to put an equal number of markers in each box.
Anthony has 18 markers. His teacher wants him to put 3 markers in each box until he is out of markers.
Before you figure out what the students should do, answer these questions: 
What is happening in these two situations? How are they similar?
How are they different?
Figure out how many markers Presley should put in each box. Then figure out how many boxes Anthony should fill with markers. Show your work.

6. Who is right? Why? Draw a picture to support your idea.
Alignment: 3.OA.4 Grade 3
Domain: Operations and Algebraic Thinking
Cluster: Represent and solve problems involving multiplication and division.
Standard: Determine the unknown whole number in a multiplication or division equation relating three whole numbers.

Tehya and Kenneth are trying to figure out which number could be placed in the box to make this equation true.
Tehya insists that 12 is the only number that will make this equation true.
Kenneth insists that 3 is the only number that will make this equation true.
2 = ☐ ÷ 6
Who is right? Why? Draw a picture to support your idea.

7. Alignment: 2.OA.4 Grade 2 3 + 3 + 3 3 + 4     4 + 4 + 4
Domain: Operations and Algebraic Thinking
Cluster: Work with equal groups of objects to gain foundations for multiplication.
Standard: Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends.
Which of the following are equal to the number of dots in the picture below? (Choose all that apply).
3 + 4
   
   
   

8. Alignment: 2.OA.C & 2.MD.8 Grade 2
Domain: Measurement and Data Cluster: Work with time and money. Standard: Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. Example: If you have 2 dimes and 3 pennies, how many cents do you have? . You won first place at your school Science Fair! You have two choices for the prize: Option 1: You can take $20 home with you today. Option 2: Take $2 a day for the next 15 days. a. Which option earns more money? How much more? b. Which option will you choose? Explain why.

9. Alignment: 1.OA.1 & 1.OA.7 Grade 1
Domain: Operations and Algebraic Thinking
Cluster: Represent and solve problems involving addition and subtraction.
Standard: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, comparing with unknowns in all positions e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.
Bo bought 20 tickets to play games at Family Fun Night at his school. He wants to play each game at least once. He needs to use all of his tickets. How many times might he play each game? Find at least two ways he can do it.
Game
Number of Tickets Needed
Ring Toss 1
Putt-Putt Golf 2
Soccer Kick 3
Moonwalk 5

10. Alignment: 1.OA.2 Grade 1 Domain: Operations and Algebraic Thinking
Cluster: Represent and solve problems involving addition and subtraction.
Standard: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.
Jasmine has eight daisies and three vases - one large, one medium-sized and one small.
She puts 5 daisies in the large vase, 2 in the medium vase and 1 in the small vase.
Can you find another way to put daisies so that there are the most in the large vase and least in the small vase?
Try to find as many ways as you can put the daisies in the vases with the most in the large vase and the least in the smallest vase. If you think you have found them all, explain how you know those are all the possibilities.

11. Alignment: K.OA.3 Grade K
Domain: Operations and Algebraic Thinking Cluster: Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from. Standard: Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = and 5 = 4 + 1). Make 9 in as many ways as you can by adding two numbers between 0 and 9.

12. Alignment: K.OA.3 Grade K Domain: Operations and Algebraic Thinking
Cluster: Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
Standard: Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = and 5 = 4 + 1).
For each set of numbers below, pick two numbers that add to make six. Write an equation that shows that those two numbers add to make 6.
a. 3, 5, 3
b. 6, 0, 2
c. 1, 6, 5
d. 3, 2, 4
e. 4, 2, 6