Narrative of Amazing Teaching Moment: When introducing any math topic, I like to present a real world scenario. When I was teaching integers in my 6th grade math class they understood the basic of integers; how to plot integers on the graph, and terms that represent positive and negative and negative numbers.

This particular lesson focused on discovering the algorithm for adding and subtracting integers. I presented the following scenario: Stephanie put $4 in her bank account and then went to Walgreens and purchased a box of candy that was $4. She paid with her bank card, how much money did she have left after her purchase? What if she deposited $4 but spent $9, how much would she have left? Using a number line I modeled this scenario. I posed the following questions: What is the first quantity? Positive or negative? The second quantity? Positive or negative? Plot her starting balance after the deposit. Move along the number line to represent how much she spent at Walgreens. Which direction will we go? Why? Where do you land?

These situations represented zero pairs.

I passed out red beans and white beans to the students. The red beans represented negative numbers and the white beans represented positive integers. Each student was given 10 red and 10 white beans and a strip of paper with four expressions. Using zero pairs and the beans, they had to model the expression using the beans, combine all zero pairs that they were able to, and then record what was left.

I posed a guiding question: Using the beans what makes a zero pair?

They took about two minutes to analyze their expressions and the answers They had to come up with an explanation of what happened when certain signs came together. They were able to come up with the algorithm for adding/subtracting integers without me telling them. Using this hands on lesson they discovered it on their own!

Why do you think these rules will hold true?

Hashtags: #reallifeapplications #modeling #intergeraddingsubtracting #gradesix #numbersystems #automaticity #analyze #mathvocabulary #math #gottabequick #handson

**Five Big Themes:**

- Differentiated instruction: reach students of all learning capabilities increasing students knowledge and success, gives teachers the opportunity and builds off students strengths and weakness
- Creativity: limitations are often removed from activities; leads to student engagement, fun and can make the activity accessible to different learning styles.
- Real world connection: Allows students to make a connection and brings relevance to the learning; can show practical applications to acquired knowledge.
- Student-centered: Gives students the ability to explore through hands on activities; allows them to make discoveries on their own.
- Rigorous: The instruction needs to be sufficiently challenging to ensure student engagement and push students’ thinking and learning. It should help students ‘unlearn’ misconceptions.