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Unit 3 - Ratios
Unit Objectives
Students will be able to:
● Compare quantities using ratios.
● Express a ratio in its simplest form.
● Relate ratios to units.
● Relate ratios to a fraction of a quantity.
● Relate proportion to ratios and fractions.
● Solve word problems involving ratios and proportion.
● Solve multi-step word problems involving changing ratios in before and after situations.
Unit Standards
M6.A.1.1: Express numbers in equivalent forms.
M6.A.1.2: Compare quantities and/or magnitudes of numbers.
Session 1: Ratio and Fraction
Lesson Objectives
Students will be able to:
● Compare quantities using ratios.
● Express a ratio in its simplest form.
● Relate ratios to units.
Materials:
Butterfly magnets (ask students to contribute their magnets for the activity too)
Technology:
http://www.ixl.com/math/grade-6/write-a-ratio-to-describe-objects-in-a-picture
http://www.ixl.com/math/grade-6/ratios-word-problems
https://www.youtube.com/watch?v=HpdMJaKaXXc
Anticipatory Set
Talk about the video they were required to watch about Ratios (Khan Academy)
Ratio of horses to Dogs example
Compare the different quantities using the butterfly magnets on the board.
Write a ratio.
THINK PAIR SHARE: What is a ratio?
As a class, come up with a formal definition for a ratio and the conditions for a ratio.
Procedure:
Note-taking: Students start a new section in their notes.
Label it Unit 3 - Ratios and Fractions
Stress that a ratio can be expressed as a fraction
Go onto IXL and practice problems involving writing a ratio between two quantities.
Notes:
Ratios can be written as a fraction.
We like to write fractions in simplest or reduced form. We also like to write ratios in simplest form.
However, ratios never have decimals or fractions in the quantities.
2. Textbook p. 21-23.
2.1. Ratio and Fractions
2.2. Read through the word problems and write a ratio in simplest form.
Stress that we are not using the operations addition and subtraction when dealing with ratios and
fractions.
Stress we deal with the operations multiplication and division when dealing with ratios and fractions.
Stress the phrase “of the .. of”
Underline the phrase “of the..of”
Determine which number is the numerator and the denominator.
Determine which number is the part and which is the whole.
A ratio is a comparison between two quantities.
A ratio can be a comparison between a quantity of a whole.
Show three ways to express a ratio:
a fraction = ½
a ratio = 1:2
written out =1 to 2
Homework Exercise 8 pp 22-23
RATIO STRATEGIES:
Students write down in their notes:
Stay organized - label each part of the ratio:
For example, dogs to cats to total pets = D:C:P
Since ratios involve equal groups, the operations used are multiplication and division.
Using unit bars with ratios…
Since ratios can be written as fractions, which also compare 2 quantities, simplify them! FInd the GCF/GCD.
Exit Slip:
Give the definition in your own words for a ratio…
Give three different ways to express a ratio using the numbers 1 and 2
________________________________________
Name
__________________________
Date
Exit Slip
Give the definition in your own words for a ratio
__________________________________________________________________________
__________________________________________________________________________
Give the three different ways to express a ratio using the numbers 1 and 2.
Bogus:
Unit 3 - Ratios
Unit Objectives
Students will be able to:
● Compare quantities using ratios.
● Express a ratio in its simplest form.
● Relate ratios to units.
● Relate ratios to a fraction of a quantity.
● Relate proportion to ratios and fractions.
● Solve word problems involving ratios and proportion.
● Solve multi-step word problems involving changing ratios in before and after situations.
Unit Standards
M6.A.1.1: Express numbers in equivalent forms.
M6.A.1.2: Compare quantities and/or magnitudes of numbers.
Session 1: Ratio and Fraction
Lesson Objectives
Students will be able to:
● Compare quantities using ratios.
● Express a ratio in its simplest form.
● Relate ratios to units.
Materials:
Butterfly magnets (ask students to contribute their magnets for the activity too)
Technology:
http://www.ixl.com/math/grade-6/write-a-ratio-to-describe-objects-in-a-picture
http://www.ixl.com/math/grade-6/ratios-word-problems
https://www.youtube.com/watch?v=HpdMJaKaXXc
Anticipatory Set
Talk about the video they were required to watch about Ratios (Khan Academy)
Ratio of horses to Dogs example
Compare the different quantities using the butterfly magnets on the board.
Write a ratio.
THINK PAIR SHARE: What is a ratio?
As a class, come up with a formal definition for a ratio and the conditions for a ratio.
Procedure:
Note-taking: Students start a new section in their notes.
Label it Unit 3 - Ratios and Fractions
Intro to Unit 3 - Ratios, 6th grade Math

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Intro to Unit 3 - Ratios, 6th grade Math

  • 1. Unit 3 - Ratios Unit Objectives Students will be able to: ● Compare quantities using ratios. ● Express a ratio in its simplest form. ● Relate ratios to units. ● Relate ratios to a fraction of a quantity. ● Relate proportion to ratios and fractions. ● Solve word problems involving ratios and proportion. ● Solve multi-step word problems involving changing ratios in before and after situations. Unit Standards M6.A.1.1: Express numbers in equivalent forms. M6.A.1.2: Compare quantities and/or magnitudes of numbers. Session 1: Ratio and Fraction Lesson Objectives Students will be able to: ● Compare quantities using ratios. ● Express a ratio in its simplest form. ● Relate ratios to units. Materials: Butterfly magnets (ask students to contribute their magnets for the activity too) Technology: http://www.ixl.com/math/grade-6/write-a-ratio-to-describe-objects-in-a-picture http://www.ixl.com/math/grade-6/ratios-word-problems https://www.youtube.com/watch?v=HpdMJaKaXXc Anticipatory Set Talk about the video they were required to watch about Ratios (Khan Academy) Ratio of horses to Dogs example Compare the different quantities using the butterfly magnets on the board. Write a ratio. THINK PAIR SHARE: What is a ratio? As a class, come up with a formal definition for a ratio and the conditions for a ratio. Procedure: Note-taking: Students start a new section in their notes. Label it Unit 3 - Ratios and Fractions
  • 2.
  • 3. Stress that a ratio can be expressed as a fraction Go onto IXL and practice problems involving writing a ratio between two quantities. Notes: Ratios can be written as a fraction. We like to write fractions in simplest or reduced form. We also like to write ratios in simplest form. However, ratios never have decimals or fractions in the quantities. 2. Textbook p. 21-23. 2.1. Ratio and Fractions 2.2. Read through the word problems and write a ratio in simplest form. Stress that we are not using the operations addition and subtraction when dealing with ratios and fractions. Stress we deal with the operations multiplication and division when dealing with ratios and fractions. Stress the phrase “of the .. of” Underline the phrase “of the..of” Determine which number is the numerator and the denominator. Determine which number is the part and which is the whole. A ratio is a comparison between two quantities. A ratio can be a comparison between a quantity of a whole. Show three ways to express a ratio: a fraction = ½ a ratio = 1:2 written out =1 to 2 Homework Exercise 8 pp 22-23 RATIO STRATEGIES: Students write down in their notes: Stay organized - label each part of the ratio: For example, dogs to cats to total pets = D:C:P Since ratios involve equal groups, the operations used are multiplication and division. Using unit bars with ratios… Since ratios can be written as fractions, which also compare 2 quantities, simplify them! FInd the GCF/GCD. Exit Slip: Give the definition in your own words for a ratio… Give three different ways to express a ratio using the numbers 1 and 2
  • 4.
  • 5. ________________________________________ Name __________________________ Date Exit Slip Give the definition in your own words for a ratio __________________________________________________________________________ __________________________________________________________________________ Give the three different ways to express a ratio using the numbers 1 and 2. Bogus:
  • 6.
  • 7. Unit 3 - Ratios Unit Objectives Students will be able to: ● Compare quantities using ratios. ● Express a ratio in its simplest form. ● Relate ratios to units. ● Relate ratios to a fraction of a quantity. ● Relate proportion to ratios and fractions. ● Solve word problems involving ratios and proportion. ● Solve multi-step word problems involving changing ratios in before and after situations. Unit Standards M6.A.1.1: Express numbers in equivalent forms. M6.A.1.2: Compare quantities and/or magnitudes of numbers. Session 1: Ratio and Fraction Lesson Objectives Students will be able to: ● Compare quantities using ratios. ● Express a ratio in its simplest form. ● Relate ratios to units. Materials: Butterfly magnets (ask students to contribute their magnets for the activity too) Technology: http://www.ixl.com/math/grade-6/write-a-ratio-to-describe-objects-in-a-picture http://www.ixl.com/math/grade-6/ratios-word-problems https://www.youtube.com/watch?v=HpdMJaKaXXc Anticipatory Set Talk about the video they were required to watch about Ratios (Khan Academy) Ratio of horses to Dogs example Compare the different quantities using the butterfly magnets on the board. Write a ratio. THINK PAIR SHARE: What is a ratio? As a class, come up with a formal definition for a ratio and the conditions for a ratio. Procedure: Note-taking: Students start a new section in their notes. Label it Unit 3 - Ratios and Fractions