Dividing Fractions 2-3 Dividing Fractions. POD – Multiplying Fractions.
Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying...
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Transcript of Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying...
Day…..
1 – Multiplying Fractions by Fractions
2 –Multiplying Fractions by Whole Numbers
3 –Multiplying Fractions by Mixed Numbers
4 – Fractions in Story Problems
5 - Review
Bell Work
Juanyra, Hannah, and Bella went out for pizza.
Juanyra ate of the pizza, Hannah ate of the
pizza, and Bella ate of the pizza. How much did
they eat altogether?
Illustrate and justify your answer.
VocabularyDenominator-
Fraction-
Equivalent-
Greatest Common Factor-
Improper Fraction-
Mixed Number-
Numerator-
Product-
Quotient-
Reciprocal –
Simplest Form-
a number that has a whole number part and a fraction part
a fraction with a numerator that is greater than or equal to the denominator
the greatest of the common factors of two or more numbers
a number that represents part of a whole or part of a set
the bottom number of a fraction (the whole)
equal or the same
the answer to a multiplication equation
the top number of a fraction (the part)
the answer to a division equation
two numbers with a product of 1 (flipped upside down)
Scaling- to increase or decrease a ratio
a fraction in which the GCF of the numerator and denominator is 1
Multiplying Fractions
Essential Understanding: To multiply fractions by fractions, you simply multiply numerator by numerator, then denominator by denominator (straight across).Write the product in simplest form.
Examples:
• Quick Check: Complete problems 1-6 on page 104
VocabularyDenominator-
Fraction-
Equivalent-
Greatest Common Factor-
Improper Fraction-
Mixed Number-
Numerator-
Product-
Quotient-
Reciprocal –
Simplest Form-
a number that has a whole number part and a fraction part
a fraction with a numerator that is greater than or equal to the denominator
the greatest of the common factors of two or more numbers
a number that represents part of a whole or part of a set
the bottom number of a fraction (the whole)
equal or the same
the answer to a multiplication equation
the top number of a fraction (the part)
the answer to a division equation
two numbers with a product of 1 (flipped upside down)
Scaling- to increase or decrease a ratio
a fraction in which the GCF of the numerator and denominator is 1
Multiplying Fractions and Whole Numbers
Essential Understanding: To multiply a fraction by a whole number, begin by converting the whole number to an improper fraction by placing a 1 as it’s denominator. Then simply multiply numerator by numerator and denominator by denominator (straight across). Write the product in simplest form.
Examples:
• Quick Check: Complete problems a-g on page 98-99
Explore Group Work Activities1) Pizza Task Rotations
You will have 30 minutes to complete as many rotations as possible.
VocabularyDenominator-
Fraction-
Equivalent-
Greatest Common Factor-
Improper Fraction-
Mixed Number-
Numerator-
Product-
Quotient-
Reciprocal –
Simplest Form-
a number that has a whole number part and a fraction part
a fraction with a numerator that is greater than or equal to the denominator
the greatest of the common factors of two or more numbers
a number that represents part of a whole or part of a set
the bottom number of a fraction (the whole)
equal or the same
the answer to a multiplication equation
the top number of a fraction (the part)
the answer to a division equation
two numbers with a product of 1 (flipped upside down)
Scaling- to increase or decrease a ratio
a fraction in which the GCF of the numerator and denominator is 1
Multiplying Fractions and Mixed Numbers
Essential Understanding: To find the product of fractions and mixed numbers, begin by converting the mixed number to and improper fraction. This is done by adding the numerator to the product of the denominator and whole number. (leave room for example).
Example:
Next simply multiple numerator by numerator and denominator by denominator (straight across). Finally write the product in simplest form.
Example:
• Quick Check: Complete problems 8-13 on page 114
Bell Work
A waffle recipe calls for 2 ¼ cups of flour. If
Chun wants to make 1 ½ times the recipe,
how much flour does he need?
Illustrate and justify your answer.
Vocabulary• Denominator- the bottom number of a fraction (the whole)
• Equivalent- equal or the same
• Fraction- a number that represents part of a whole or part of a set
• Greatest Common Factor- the greatest of the common factors of two or more numbers
• Improper Fraction- a fraction with a numerator that is greater than or equal to the denominator
• Mixed Number- a number that has a whole number part and a fraction part
• Numerator- the top number of a fraction (the part)
• Product- the answer to a multiplication equation
• Quotient- the answer to a division equation
• Reciprocal – two numbers with a product of 1 (flipped upside down)• Scaling- to increase or decrease a ratio
• Simplest Form- a fraction in which the GCF of the numerator and denominator is 1
Story ProblemsEssential Understanding: Sometimes fractions are presented in number form ( ½ ). Sometimes they are given in word form (three fourths) But, sometimes they are hidden in the wording. For example, the phrase “out of” signifies a part to whole relationship. Three “out of” four dentist recommend trident.
When solving story problems we look for key phrases we can use to identify the proper operation. This remains true for story problems involving fractions.
For Example: “Howard spent 3/5 of his allowance.” Many times a fraction followed by the word of tells us to multiply.
Bell Work
Howard went shopping over the weekend
with his allowance of $35. He spent 3/5 of
his allowance on a video game. How much
did he pay for the game?
Justify your answer.
VocabularyDenominator-
Fraction-
Equivalent-
Greatest Common Factor-
Improper Fraction-
Mixed Number-
Numerator-
Product-
Quotient-
Reciprocal –
Simplest Form-
a number that has a whole number part and a fraction part
a fraction with a numerator that is greater than or equal to the denominator
the greatest of the common factors of two or more numbers
a number that represents part of a whole or part of a set
the bottom number of a fraction (the whole)
equal or the same
the answer to a multiplication equation
the top number of a fraction (the part)
the answer to a division equation
two numbers with a product of 1 (flipped upside down)
Scaling- to increase or decrease a ratio
a fraction in which the GCF of the numerator and denominator is 1
Let’s Review
Rounding Fractions: Think: “Is the fraction closer to 0, ½, or 1” If the numerator is almost as big as the denominator round up to the next whole number. If the numerator is much smaller than the denominator, round down to the closest whole number.
• Quick Check: Complete problems 1-6 on page 88• Self Check # 3
Estimating Fractions
Essential Understanding: When estimating the product of fractions and whole numbers, use compatible numbers or rounding.
• Quick Check: Complete problems a-f on page 92-93• Self Check # 4