##
* *Reflection: Vertical Alignment
Target Number Game - Section 2: Rules Of The Game

The Target Number Dash game was identified by the K-5 Math Teaching Resources website as a fifth grade game. I believe the game is appropriate for CCSS 3.OA.8, but knew it was also a challenge for my students. With repeated practice, they were able to work above their grade level to solve more complex number sentences.

One of the most interesting questions occurred the second time we played this game. One of my students asked,* "What if we want to have the a different operation come first in the game?" *This provided the next mini lesson on the order of operations and the common mnemonic of *Please Excuse My Dear Aunt Sally (PEMDAS)*. While my third graders were not all ready for this level of rigor, I decided to teach them about the parentheses. Because they were not ready for exponents at this time, I chose not to introduce this concept except to provide the vocabulary term. I only explained this would be something they would learn about in future grades.

*Vertical Alignment*

*Vertical Alignment: Vertical Alignment*

# Target Number Game

Lesson 12 of 13

## Objective: SWBAT apply order of operations to create number sentences to reach a target number.

## Big Idea: Playing a game for the order of operations engages students in math fact review and builds fluency.

*50 minutes*

#### Warm-Up

*10 min*

During the warm-up section in this lesson, I review the order of operations by using the same number sentence and moving parentheses to different numbers. This allows students to see how the answer changes based on the location of the parentheses within the number sentence.

For example:

(3 + 5) x 2 - 4 = 12 compared to 3 + (5 x 2) - 4 = 9

I start with using two operations to compare, followed by three and then four operations.

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#### Rules Of The Game

*10 min*

Our practice with this concept, and math fact practice, occurs within the Target Number Dash game. This game is from the K-5 Math Teaching Resources site. In order to play this game students need to have access to playing cards or number cards. I chose to have the students create the number cards using index cards cut in half.

I model and explain the rules for the Target Number Dash game with a student partner. In this game, students use the same cards and math operations to reach a designated target number. This modeling and demonstration provides students with the opportunity to ask questions, and also examples of how to use the numbers strategically to reach a given number. The cards with the number one can be very helpful because of the identity property of multiplication (3.OA.5).

I practice several different number sentences the first time we play this game in class. The more practice, the more quickly students were able to generate examples. Eventually, the students are able to provide their own examples and explain the game to other students from other classes on their own.

#### Resources

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#### Game Playing

*30 min*

Students play this game with partners for the remainder of the math period. During this time, I circulate to assist students but only if they become stuck or frustrated. There is a productive level of struggle that I want my students to experience. To build perseverance, I must take a step back.

As I circulate I can also differentiate for students in adjusting the game (e.g., choosing to use fewer cards or drawing more cards to reach their target number).

Before playing the game the students create their own set of cards. This also provides students with cards to keep and use on their own at home with parents and siblings.

In this video, the students work towards a target number of 8. However, the cards drawn will not allow the students to reach that number. The students discuss with me a modification to the game so that they can continue playing.

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- LESSON 1: Find The Array
- LESSON 2: Combinations Using Multiplication Trees
- LESSON 3: Arrays Focusing On Rows and Columns
- LESSON 4: Understanding Multiplication With Equal Groups
- LESSON 5: Equal Groups: How Many Stars In The Sky?
- LESSON 6: Multiplication Facts With Arrays
- LESSON 7: Solving Multi-Step Word Problems
- LESSON 8: Write A Different Fact Game
- LESSON 9: Multiplication Using The Commutative Property
- LESSON 10: Three Fish Limit Multiplication Word Problem
- LESSON 11: Word Problems With Order of Operations (Day 1 & 2)
- LESSON 12: Target Number Game
- LESSON 13: Patterns In Multiplication (Days 1 - 5)