*Heather Jenkins*Show bio

Heather has a bachelor's degree in elementary education and a master's degree in special education. She was a public school teacher and administrator for 11 years.

Instructor:
*Heather Jenkins*
Show bio

Heather has a bachelor's degree in elementary education and a master's degree in special education. She was a public school teacher and administrator for 11 years.

Knowing how to solve addition, subtraction, multiplication, and division problems with negative and positive number is an important skill for students to learn. Use these games to help students learn and practice integer rules.

Just like students should understand the rules for a board game before they play it, understanding the rules for adding, subtracting, multiplying, and dividing integers is essential for solving mathematical problems. When students understand integer rules, it allows them to quickly decide how to work with positive and negative numbers.

Let's look at some multi-sensory games to help students learn and practice integer rules. Depending on your class, you may want to incorporate integer rules for all four mathematical operations into these games or focus on only one operation and its inverse, such as addition and subtraction or multiplication and division.

- Chart of integer rules

- Show the class a chart of integer rules. Discuss the combinations of positive and negative numbers for each mathematical operation and the signs their answers will yield. For example, if your students are multiplying two negative numbers or two positive numbers, their answer will be a positive.
- Have students stand in the middle of the classroom.
- Designate one side of the room as 'positive' and the other side as 'negative'.
- Tell students that you will give them a combination of numbers and a mathematical operation, and they will have to figure out if the answer will be positive or negative. Students will move to the side of the room that designates the correct answer. For example, you might ask, ''What will the sign of the answer be if a positive and negative number are added and the positive number is greater?'' and students should move to the 'positive' side of the room.
- Consider giving students different ways to move around the room such as jumping, crab walking, or frog-hopping to the correct side.

- What is the most difficult integer rule for you to remember? Why?
- Why is it important to know how work with both positive and negative integers?

- Chart of integer rules
- Playing cards (numbers 2-10)
- Coins
- Dry-erase boards
- Dry-erase markers

- Discuss the chart of integer rules with the class.
- Pass out a playing card to each student. Model how to solve different integer problems by having various pairs of students come up to the front with their playing cards. For example, if two students had 5 and 8 as their playing cards, you could model the problems -8 + 5, (-8) x (-5), 5 - (-8), etc.
- Divide the class into pairs and provide each pair with playing cards, coins, dry-erase boards, and dry-erase markers.
- For each round, give the students a mathematical operation (+,-,x,÷) for their problems. One partner will draw two playing cards. These are the numbers the student must use in their problem.
- The students will flip a coin twice to indicate the signs of each number. If the coin lands on heads, the number should be positive. If the coin lands on tails, the number should be negative.
- The students will then write the problem on their board for their partner to solve. For example, if the student drew 4 and 9, flipped a heads (+) and a tails (-), and the round was for multiplication problems, the student could write 4 x (-9) or (-4) x 9.
- If the partner correctly solves the problem, he/she receives a point.
- Have the pairs continue taking turns creating problems as time allows.
- The partner in each pair with the most points at the end of the game wins.

- What is the most difficult part about solving integer problems?
- Can you think of a profession where people would have to solve problems using positive and negative integers?

- Chart of integer rules
- Dry-erase boards
- Dry-erase markers
- List of integer word problems

- Prior to the game, create a list of integer world problems.
- Have the class review the chart of integer rules. Review sample mathematical problems that involve integers and ask the class to create word problems to go with them. For example, if the problem was -7 x 2, students could say, ''The Cowboys were pushed back 7 yards during each of the first 2 plays in the football game. How many yards have they lost?''
- Divide the class into small groups and provide each group with dry-erase boards and dry-erase markers.
- For each round of the game, read a word problem from your list. Have each team solve the problem on their dry-erase board and hold up the answer.
- Each team that gets the answer right receives a point. The team with the most points at the end of the game wins.

- What are other real-world examples of integer problems?
- What are examples of real-world negative numbers?

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