Middle School Programs Building Healthy Core Learning Math 6 Plus, Unit 5

Math 6 Plus UNIT 5 OVERVIEW: Integers and Rational Numbers on the Number Line Unit Outcomes

Key Vocabulary

At the end of this unit, your student should be able to:

Terms to deepen the student’s understanding

 Convert between fractions, decimals, and percent  Graph integers and rational numbers on a horizontal and vertical number line  Find opposite of a number and absolute value of integers

Key Standards Addressed Connections to Common Core/NC Essential Standards 6.NS.5 Understand that positive and negative numbers are used together to describe quantities having opposite directions or values; use positive and negative numbers to represent quantities in real world context, explaining the meaning of 0 in each situation

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Absolute Value Exceed Inequality Integer Negative Number Number Line Opposites Origin Positive Number Profit Rational Number

Where This Unit Fits Connections to prior and future learning Coming into this unit, students should have a strong foundation in:  Horizontal Number Lines  How to find equivalent fractions  How to simplify fractions  Place Value

6.NS.6a Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite number is the number itself, and that 0 is its own opposite This unit builds to the following future skills and 6.NS.6c Find the position of integers and other rational concepts: numbers on a horizontal and vertical number line; find and  Graphing inequalities position pairs of integers and other rational numbers on a  Graphing points on a coordinate plane coordinate plane  Finding distance between two points  Adding and Subtracting Integers 7.NS.7 Understand ordering an absolute value of rational numbers a) Interpret statements of inequality as statements about the relative position of two numbers on a number line. For example: interpret -3 > -7 as a statement that -3 is located to the right of -7 on a number line oriented from left to right. b) Write, interpret, and explain statements of order for rational numbers in real-world contexts. For example, write -3°C >-7°C to express the fact that 3°C is warmer than -7°C. c) Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute as magnitude for a positive or

Middle School Programs Building Healthy Core Learning Math 6 Plus, Unit 5

Math 6 Plus UNIT 5 OVERVIEW: Integers and Rational Numbers on the Number Line negative quantity in a real-world situation. For example, for an account balance of –30 dollars, write |–30| = 30 to describe the size of the debt in dollars. d) Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than –30 dollars represents a debt greater than 30 dollars.

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Additional Resources

“Learning Checks”

Materials to support understanding and enrichment Teaching videos made by Wake County teachers WCPSS YouTube Channel – Math Playlist Plotting Rational Numbers and Absolute Value Video Changing Decimal to Fractions Video Ordering Integers Video Ordering Rational Numbers Video Integers Study Jams Understanding Integers IXL Compare and Order Integers IXL Integer Word Problems Comparing Integer Practice Converting Fraction, Decimal, and Percent Jeopardy Fraction, Decimal, and Percent Review

Questions Parents Can Use to Assess Understanding  Explain the difference between absolute value and opposite.  What are some real world examples of negative integers?  Why would we use zero as a starting point instead of the number one?  What happens if someone loses more than what they had?  Can a negative number have a greater absolute value than a positive number?

* Please note, the unit guides are a work in progress. If you have feedback or suggestions on improvement, please feel free to contact [email protected].