Unit 2 Decimal and Fraction Sense
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Essential Questions
• What connections can be made between decimal place value and whole number place value?
• How can multiple models represent an equivalent value? • How can representations and/or benchmark numbers be used to justify the comparison or order of a set of fractions and decimals? • If I give you two numbers, could you always find a number that comes between them? How do you know? Unit 2 Vocabulary
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Learning Outcomes
At the end of this unit, students should be able to:
• Recognize and name fractions in their equivalent decimal form and vice versa (thirds, eighths, and factors of 100) • Distinguish between terminating and repeating decimals • Write repeating decimals using the appropriate notation • Round decimals to the nearest whole number, tenth, or hundredth • Order a set of fractions and decimals in both ascending and descending order • Use models and reasoning to justify comparison or equivalence of two or more values |
Place Value |
the numerical value that a digit has by virtue of its position in a number.
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Whole Number |
A number with out fraction. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 etc.
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Benchmark |
a standard or point of reference against which things may be compared or assessed.
ex. close to zero, close to half, close to one |
Ascending/Descending |
Ascending is counting up from a point ex 8, 19, 20, 31
Descending is counting down from a point ex. 39, 27, 21, 10, 5 |
Equivalent |
The same. In fractions it is fractions with different parts that equal the same size piece
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Terminating decimal
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A terminating decimal is a decimal that ends. It's a decimal with a finite number of digits.
To turn a fraction into a decimal you divide the denominator into the numerator
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Repeating decimal |
A fraction that when divided repeats forever! Divide the numerator into the denominator. A line is drawn above the repeating portion of the repeating decimal.
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Fractions |
A fraction is a part of a whole. There are two ways to write a fraction;
1. with a numerator and denominator 2. as a decimal |
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Comparison |
Using greater than, less than, equal too to show which numbers are bigger, smaller or equal too.
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Ordering |
