## Reflection: Developing a Conceptual Understanding Adding and Subtracting Integers - Section 1: Do-Now

I am strongly against teaching students gimmicks inside of math classrooms. When we encourage students to “add them if they are the same” we are cheating them of an opportunity to develop their own mathematical reasoning skills. Instead, I try to rely on models (e.g., number lines) and I insist that my students use them on paper until they internalize them and can apply them to perform operations fluently.

When integers arise in my class throughout the course of the school year, I will only allow students to respond using a number line or zero pair reference. This may seem cumbersome, but the payoff for students is too large to eschew.

Early in the school year students will begin instinctively drawing number lines on the sides of their papers. By mid-year, if students are asked a more complex question such as -71-6, they are able to visualize in their head where -71 would be on a number line, then moving six spaces to the left further away from zero, yielding -77. By the end of the year, students have developed a integer intuition, and are able to complete these problems on their own.

Is it Same-Change-Change or Change-Same-Change or...
Developing a Conceptual Understanding: Is it Same-Change-Change or Change-Same-Change or...

Unit 3: Numeracy
Lesson 2 of 5

## Big Idea: Students will conceptualize the addition and subtraction of integers with a number line and counter chips.

Print Lesson
11 teachers like this lesson
Standards:
Subject(s):
Math, Algebra, Integers, modeling, properties of integers, division, multiplication, geometric patterns, evaluating algebraic expressions
80 minutes

### Noelani Davis

##### Similar Lessons

###### Integers: Number Lines and Absolute Values
6th Grade Math » Integers and Rational Numbers
Big Idea: Opposite rational numbers have the same distance from 0 on a number line. The absolute value of a number represents the distance from the number to 0.
Favorites(61)
Resources(18)
New Haven, CT
Environment: Urban

###### Pre Test
6th Grade Math » Integers and Rational Numbers
Big Idea: What do students already know about integers, rational numbers, and the coordinate plane? What gaps do students have in their understanding? Students take the Unit 3 pretest in order to inform instruction.
Favorites(21)
Resources(9)
Somerville, MA
Environment: Urban

###### Multiple Representations of Percents
7th Grade Math » Percent and Proportional Relationships
Big Idea: Review conversions between benchmark fractions, decimals, and percents.
Favorites(22)
Resources(17)
New Orleans, LA
Environment: Urban