INTRODUCTION TO INTEGERS

Question 6.5

How do we use, compare and contrast integers in real-life scenarios and extend previous understandings of rational numbers on a coordinate plane?

Suggested Pacing = 13 days

This unit builds on students’ earlier study of systems of numbers (natural numbers, whole numbers, and positive fractions and decimals) as students investigate values less than zero. They formalize an understanding of integers and their relationship to the set of rational numbers. Students develop an understanding of how integers are used in real-world contexts, including the meaning of absolute value. In Grade 7, students learn to operate with positive and negative rational numbers. Students also expand their understanding of rational numbers as they extend the coordinate plane to include all four quadrants. Students apply their understanding of absolute value to determine distances in the coordinate plane.

Essential Learning Outcome #1

∎ Students will understand and relate concepts of rational numbers using number lines and coordinate grids to make sense of quantities in real-world scenarios. (6.NS.6) (MP.2, MP.3, MP.4)

Learning Targets:

I can name the opposites of numbers. (6.NS.6a)
I can plot pairs of positive and negative numbers on a coordinate plane, including reflections of those points. (6.NS.6b)
I can find and position integers and other rational numbers on a number line and a coordinate plane. (6.NS.6c)

Prerequisite Skills

Essential Vocabulary

Opposites
Positive
Negative
Integer
Quantity
Debits and Credits
Above and below sea level
Deposit and withdrawal
Coordinates
x-axis
y-axis
x-coordinates
y-coordinates
Origin
Quadrants
Distance
Rational number
Number line
Reflection

Assessment Bank

6.NS.6 Assessments

Glencoe integer vocabulary test

Glencoe integers test form 1a

Glencoe integer test form 1b

Glencoe integer test form 2a

Glencoe integers test form 2b

Glencoe integers test form 3a

Glencoe integers test form 3b

Glencoe integer extended response practice

Teaching Resources

Math Stations listed by standard

Engage NY

Problem-Solving Tasks - 6.NS.6

Problem Based Learning

Life Sized Human Graphing

Online resources - 6.NS.6

Problem Based Learning

Text Resources

Glencoe Course 1 - Volume 1

Chapter 5 - Lessons 1-2

Essential Learning Outcome #2

∎ Students will understand the absolute value of a number is the distance a number is from zero and compare the absolute values of both positive and negative values in real world situations. (6.NS.5, 6.NS.7, 6.NS.8) (MP.2, MP.3, MP.4)

Learning Targets:

I can understand and use positive and negative numbers to represent quantities in real-world situations. (6.NS.5)
I can write, interpret, and explain an inequality using integers in real-world situations (using a number line model). (6.NS.7a, 6.NS.7b)
I can compare absolute values of positives and negatives to determine which number is farther from zero. (6.NS.7d)
I can solve real world problems by graphing points in all four quadrants of the coordinate plane. (6.NS.8)

I can justify the meaning of positive and negative quantities and their connection to real world applications. (6.NS.5)

Prerequisite Skills

Essential Vocabulary

Four Quadrants
Coordinate plane
Coordinates
Origin
Axis
x-axis
y-axis
Ordered Pair
Absolute Value
Inequality
Rational number
Ordering
Interpret
R-Greater than (>)
R-Less than (<)
R-Equal to
Distance

INTRODUCTION TO INTEGERS

Question 6.5

How do we use, compare and contrast integers in real-life scenarios and extend previous understandings of rational numbers on a coordinate plane?

Essential Learning Outcome #1

Learning Targets:

Prerequisite Skills

Essential Vocabulary

Teaching Resources

Engage NY

Problem-Solving Tasks - 6.NS.6

Problem Based Learning

Online resources - 6.NS.6

Problem Based Learning

Text Resources

Essential Learning Outcome #2

Learning Targets:

Prerequisite Skills

Essential Vocabulary

Teaching Resources

Engage NY - 6.NS.5

Engage NY - 6.NS.7a

Engage NY - 6.NS.7b

Engage NY - 6.NS.7c

Engage NY - 6.NS.7d

Problem-Solving Tasks - 6.NS.5

Problem-Solving Tasks - 6.NS.7

Problem-Solving Tasks - 6.NS.8

Text Resources

Online resources - 6.NS.5

Online resources - 6.NS.7

Online resources - 6.NS.8