Chapter 3 Ratios and Rates
description
Transcript of Chapter 3 Ratios and Rates
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Chapter 3Ratios and
Rates
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Day…..1. Expressing ratios in all forms
2. Creating
and interpreting ratio tables
3. Finding a missing quantity
4. Review and Quiz
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Day 1
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Bell WorkWork with your partner to complete problems
30-34 on page 155 in your textbook.
Work these problems in your spiral.
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Vocabulary• Ratio – A comparison of two quantities by division.
(Example: a:b, a to b, )
• Equivalent Ratio – ratios the express the same relationship between two quantities.
(Example: 10:15 is equivalent to 2:3 and 20:30)
• Scaling – to multiply or divide two related quantities by the same number. (Example: x )
• Ratio Table – a table with columns filled with pairs of numbers that have the same ratio.
Example:
Nails Used 5 10 15
Shelves Hung 1 2 3
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I Can….
express ratios in all forms.
(ex. a:b, a to b, and )
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Reviewing RatiosWhen: • When the question asks me to write the ratio.
or• When the question asks me what is the ratio.
How:• I simply write the numbers that correspond to each quanity. • I must pay careful attention to the order of the words in the question.• Ratios can be written in 3 forms: a:b, a to b, • Ratios can be simplified by using division, when needed.
Example:
I can check my answer by: writing the words for each quantity in the order the question asks.
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I Can….
explain the meaning of ratios
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Reviewing RatiosWhen:• The question asks me to explain the meaning.How:• First, I must decide if it is a part to part, part to whole, or whole to part
comparison.• If it is a part to part comparison, I can read the ratio left to write.• If it is a part to whole or a whole to part, I must discuss the whole before
the part
Example:part to part: “For every ___ _____, there are ____ ________.”Part to whole or whole to part: Out of every __________, ________ are
I can check my answer by: Comparing my explanation to the question, or drawing a diagram of my explanation.
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Wrap it Up
• Review
• Questions
• Exit Tickets
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Day 2
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Bell WorkComplete problems 11-17 on page 189 in your textbook.
Work these problems in your spiral.
Justify each response.
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Homework Check
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VocabularyNo New Vocabulary
• Ratio – A comparison of two quantities by division. (Example: a:b, a to b, )
• Equivalent Ratio – ratios the express the same relationship between two quantities.
(Example: 10:15 is equivalent to 2:3 and 20:30)
• Scaling – to multiply or divide two related quantities by the same number. (Example: x )
• Ratio Table – a table with columns filled with pairs of numbers that have the same ratio.
Example:
Nails Used 5 10 15
Shelves Hung 1 2 3
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I Can….
Create and use a ratio table, by
scaling a given ratio up and/or down.
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Reviewing Ratio TablesWhen: • The question asks me to create a ratio table.• The question asks me to complete the given ratio table.• I need a visual to solve a missing quantity.
How:• Ratio tables can be created by, listing the words and quantities given in a horizontal
or vertical table.• I can extend a ratio table, by multiplying both quantities by the same number.• I can simplify a ratio or scale a ratio down, by dividing each quantity by the same
number.• Sometimes, I have to scale a ratio down before I can scale forward.
Example:
I can check my answer by: Cross Multiplying any two ratios in the table.
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Watch This• http://
learnzillion.com/lessons/606-create-equivalent-ratios
• http://learnzillion.com/lessons/607-simplify-ratios-using-common-factors
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Wrap it Up
• Review
• Questions
• Exit Tickets
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Day 3
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Bell WorkWork with a partner to complete problems 1-5 on
page 166 in your textbook.
Work these problems in your spiral.
Be prepared to explain your reasoning and
process.
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Homework Check
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VocabularyNo New Vocabulary
• Ratio – A comparison of two quantities by division. (Example: a:b, a to b, )
• Equivalent Ratio – ratios the express the same relationship between two quantities.
(Example: 10:15 is equivalent to 2:3 and 20:30)
• Scaling – to multiply or divide two related quantities by the same number. (Example: x )
• Ratio Table – a table with columns filled with pairs of numbers that have the same ratio.
Example:
Nails Used 5 10 15
Shelves Hung 1 2 3
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I Can….Find a missing quantity
using a given ratio.
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Reviewing Equivalent RatiosWhen: • The question gives 3 quantities and asks me to find the 4th quantity.• The question asks me to use a ratio to find a quantity.• The question asks me to complete the ratio table.
How:• I can use a ratio table to organize my thoughts and give me a visual.• I must be careful to list the quantities in the order they are listed in the question.• I must figure out how the ratio is being scaled (up or down) and by how much.• Sometimes I may have to scale down, before I can scale up.• I can also use cross multiplication and division to find equivalent cross products.
Examples:
I can check my answer by: cross multiplying the original ratio and the ratio I created.
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Watch This
• http://learnzillion.com/lessons/587-solve-ratio-problems-using-tables-and-multiplication
• http://learnzillion.com/lessons/608-solve-missing-values-in-ratio-problems-using-a-table
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Wrap it Up
• Review
• Questions
• Exit Tickets
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Day 4
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Bell WorkSolve problems 38-40 on page 191 in your
textbook.
Work these problems in your spiral and explain
your reasoning for each.
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Homework Check
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VocabularyNo New Vocabulary
• Ratio – A comparison of two quantities by division. (Example: a:b, a to b, )
• Equivalent Ratio – ratios the express the same relationship between two quantities.
(Example: 10:15 is equivalent to 2:3 and 20:30)
• Scaling – to multiply or divide two related quantities by the same number. (Example: x )
• Ratio Table – a table with columns filled with pairs of numbers that have the same ratio.
Example:
Nails Used 5 10 15
Shelves Hung 1 2 3
![Page 31: Chapter 3 Ratios and Rates](https://reader035.fdocuments.us/reader035/viewer/2022062810/56815c71550346895dca86d2/html5/thumbnails/31.jpg)
I Can….• Relate ratios and rates to the
multiplication and division of fractions.
• Look at my answer to check that I answered what was asked and see if
my answer makes sense.
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Let’s Review
PleaseTake out your
Study Guides
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pOp Quiz
• Take out a pencil and a calculator
• Clear everything else from your desk
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Wrap it Up
• Review
• Questions
• Quiz
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Ratio Bingo