Unit 3 Proportionality: Ratios and Rates. Objective Students will show that they are ready to move...
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Transcript of Unit 3 Proportionality: Ratios and Rates. Objective Students will show that they are ready to move...
Unit 3
Proportionality:Ratios and Rates
Objective
• Students will show that they are ready to move onto this unit by being able to say the following:
• I can simplify Fractions!• I can write equivalent fractions
Are you Ready
• Before we can start with this unit, we must first review Fractions!
• Simplifying Fractions• Equivalent Fractions
Simplifying Fractions
• Please simplify this fraction: 1524
How did you go about it?
1524
List all the factor of both the numerator and denominator.15- 1, 3, 5, 1524- 1, 2, 3, 4, 6, 8, 12, 24Circle the GCF (greatest common factor)Divide the numerator and denominator by the GCF15 3 = 524 3 = 8
Can you do these!• Write in simplest form!
6 4 459 10 72
Equivalent Fractions
• Write me an equivalent Fraction:68
What did you do to find this:
68
In order to find equivalent fractions multiply the numerator and denominator by the same number.
6 x 2 = 128 x 2 = 16
Or you can divide the numerator and denominator by the same number.
6 2 = 38 2 = 4
Can you do them?
• Write equivalent Fractions:12 5 215 6 7
Vocabulary
• Review Words:
• Colon :• Product-answer to a multiplication problem• Quotient – answer to a division problem• Quantity- amount of something.• Unit: the measurement of an amount.
• Divide• Multiply
New Vocabulary• Ratio: a comparison of two quantities. It shows how
many times as great one quantity is to another.• Equivalent Ratios: are ratios that name the same
comparison• Rate: comparison of two quantities that have
different units.• Unit Rate: is a rate in which the second quantity is
one unit. • When the first quantity in the unit rate is an amount
of money, the unit rate is sometimes called the unit price or unit cost.
Tomorrow
• We will be starting with Ratios:• Advanced Math Class Textbook pages 399-403• Regular Math Textbook pages 402-406