Common Sense and the Common Core: Adding Integers

by Matt Gehrett on December 10, 2013

Adding Integers

Grade 7, Math

CCSS:  Math.7.NS.A.1c

Adding integers is tricky and students need support!  The concept of numbers having additive inverses on a side of the number line that for years didn’t exist in their schema, can be very hard for students to grasp when they first see this concept in late elementary school.  Enjoy a brief video of how a student is perplexed on learning a new math concept.  Secondly, this segment shares a dynamic video on how one teacher creates a lesson on “integers” but introduces unconventional learning experiences to help students remember and use these new skills in their lessons.

If you have a resource or lesson on integers, please share.

Resources:

Presentation by Mr. Kajitani Class Slides

Khan Academy:  Adding Integers with Different Signs

Illuminations:  Resources for Teaching Math

1.  Using an Elevator to Evaluate Signed Number Expressions:  Elevator Arithmetic

2. Using an Elevator to Evaluate Signed Number Expressions:  Flipping for Integers

Twitter for Teachers:  Math Teachers for collaboration

AIMS Education Foundation:  Hands-On Math & Science

“Dealing with Integers”  Students will play card games to practice adding and subtracting integers and recognize that verse effects with numbers of opposite values.  Download  $2.00

“Integer Interstate”  Students will use the motion of a car on a number line to model addition and subtraction of integers, recognize the inverse nature of addition and subtraction with integers, and recognize that absolute value is a measure of distance, not direction. Download $3.00

“Integer Avenue”  Using a street as a number line, students understand that integers communicate both distance and direction. They also recognize that absolute value is a measure of distance only.      Download $3.00

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Welcome back to our video series.   This episode focuses on another lesson with Assistant Math Professor in our School of Education, Darrel Blanks.

This lesson examines how the standards support the computations that students do in the area of division.  Mr. Blanks will demonstrate two concepts of division developed in 3rd grade which will later be used in math that is found in subsequent grades.   Students who can see both of these concepts of division, making equal groups or taking out equal groups.  These concepts provide a foundation upon which students can understand procedures associated with division which allows students to determine the reasonableness of their answer. The lesson will demonstrate that this same approach may be used in a 6th grade division problem for fractions as well.

 

We hope you enjoyed the video from our special guest, Assistant Professor at Fresno Pacific University, Darrell Blanks?  As you can see, he is definitely an expert in his field.  He has taught grades 2nd through 8th and he has served as a math coach for grades K-8 over the course of the 26 years in public education. He has for the past 6 years been the instructor for the Teaching Elementary Mathematics course in the teacher education program at Fresno Pacific University.  If you have a question for Darrell, feel free to ask … Contact Darrell Blanks through his website…

And … check back frequently to watch future episodes of Common Sense and the Common Core !
Additional Resources:   The Teaching Channel:  Reasoning About Division

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