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Multiplying Fractions

Multiplying Fractions. CCSS.Math.Content.5.NF.B.4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

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Multiplying Fractions

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  1. Multiplying Fractions

  2. CCSS.Math.Content.5.NF.B.4Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. • CCSS.Math.Content.5.NF.B.4.aInterpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)

  3. NUMBER LINES

  4. 5/4 IS MADE UP OF FIVE ¼’S 5/4 = 1/4 + ¼ + ¼ + ¼ + ¼ It represents 5 parts in the number line!

  5. EQUIVALENCE – NUMBER LINE

  6. Equivalence • Fraction Bars • http://www.mathplayground.com/Fraction_bars.html Fraction strips • http://www.taw.org.uk/demo/mathematics/shapes/fractionStrip.htm

  7. EQUIVALENT FRACTIONS • Area Models: Creating Multiplying the Numerator and Denominator by the same number.

  8. CONNECTING WHOLE NUMBER MULTIPLICATIONS WITH MULTIPLICATION OF A FRACTION • 3 X 7 = 7+7+7 • 3 X 1/3= 1/3 + 1/3 +1/3 • 7/5 = 7 X 1/5

  9. 1/3 X 1/2 • What is 1/3 of ½? • Use a fraction strip to figure it out? • How would you solve it with a number line? • How would you solve it using an area model? • Write a context problem

  10. Learn a Zillion Video • Multiply whole number by a fraction • https://learnzillion.com/lessons/3421 • Multiply a fraction by a fraction • https://learnzillion.com/lessons/3468 • Multiply fraction by mixed numbers • https://learnzillion.com/lessons/3358

  11. CCSS.Math.Content.5.NF.B.5Interpret multiplication as scaling (resizing), by: • CCSS.Math.Content.5.NF.B.5.aComparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. • CCSS.Math.Content.5.NF.B.5.bExplaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1.

  12. Multiplication as Scaling • https://learnzillion.com/lessons/2666 • https://learnzillion.com/lessons/3485-understand-multiplication-by-a-fraction-less-than-one

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