6th Grade Unit 1 Rational Numbers and Exponents
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Unit One Essential Questions
What is the meaning of positive and negative numbers and in real-life situations?
What are rational numbers and how are they used in the real world? What is absolute value and how can you use it to solve problems? Unit One Vocabulary
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Unit One Outcomes
At the end of this unit, students should be able to:
• Understand that the number line extends in both directions. • Identify negative numbers and their opposites. • Apply positive and negative numbers to real-world contexts. • Plot rational numbers on a number line, specifically negative fractions and decimals. • Order rational numbers and approximate their relative positions on a number line. • Provide a geometric interpretation of absolute value using the number line. • Use and interpret absolute value to solve real-world problems. • Discover and explain properties of integer exponents. • Generate equivalent numerical expressions using properties of integer exponents. |
Fractions: |
a part of a whole number that has a numerator and a denominator.
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Decimals: |
numbers that represents a fraction after a period, or point, that shows place value
A way to represent a fraction of a whole. |
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Percent: |
a part of a whole expressed in tenths and hundredths.
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Order of Operations: |
The order of operations are the steps used to simplify any mathematical expression.
PEMDAS |
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Parentheses
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Exponents: |
a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression.
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Power of 10 |
The exponent (or index or power) of a number says how many times to use the number in a multiplication. in powers of 10, you are able to write down very big numbers in a very simple way.
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Rational Numbers: |
A number that can be made by dividing two integers. (An integer is a number with no fractional part.) A Ratio
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Positive and Negative Numbers: |
Positive means more than zero. Zero is neither negative nor positive.) A negative number is less than zero and is written with a minus sign in front.
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Perfect Squares: |
the product of a rational number multiplied by itself.
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Integers: |
A number that is not a fraction. It is whole by itself.
Positive and negative whole numbers are integers. |
Absolute Value:
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How far a number is away from zero.
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