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Transcript of Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional...
![Page 1: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/1.jpg)
Chapter 3Ratios and
Rates
![Page 2: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/2.jpg)
Day…..
1. Test Revisions
2. Ratios
3. Proportional Reasoning
4. Unit Rates
5. End of Unit Assessment
![Page 3: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/3.jpg)
Day 1
![Page 4: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/4.jpg)
Bell WorkComplete the provided page.
![Page 5: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/5.jpg)
Vocabulary
Rate-
Unit Rate-
Ratio-
Proportion-
Fraction-
Percentage-
Scaling-
Ratio Table-
Equivalent-
Rate of Change-
Equal or the same.
A comparison of two numbers by division. A ratio that compares a part to the whole or set.
A ratio used to compare parts per 100. Represents a part to whole relationship.An equation composed of two equivalent ratios.
A ratio used to compare quantities with different units of measure.
Describes how one quantity changes in relation to another quantity.
A comparison of two or more quantities.
A table composed of equivalent ratios.
To increase or decrease a ratio, using proportional reasoning.
A rate decreased to a comparison of 1.
![Page 6: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/6.jpg)
Homework Check
![Page 7: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/7.jpg)
Test Revision
Please take out a red ink pen.
![Page 8: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/8.jpg)
Wrap it Up
• Review
• Questions
• Exit Tickets
![Page 9: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/9.jpg)
Day 2
![Page 10: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/10.jpg)
Bell Work
Complete the provided page.
![Page 11: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/11.jpg)
pOp Quiz
• Take out a pencil and a calculator
• Clear everything else from your desk
![Page 12: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/12.jpg)
Vocabulary
Rate-
Unit Rate-
Ratio-
Proportion-
Fraction-
Percentage-
Scaling-
Ratio Table-
Equivalent-
Rate of Change-
Equal or the same.
A comparison of two numbers by division. A ratio that compares a part to the whole or set.
A ratio used to compare parts per 100. Represents a part to whole relationship.An equation composed of two equivalent ratios.
A ratio used to compare quantities with different units of measure.
Describes how one quantity changes in relation to another quantity.
A comparison of two or more quantities.
A table composed of equivalent ratios.
To increase or decrease a ratio, using proportional reasoning.
A rate decreased to a comparison of 1.
![Page 13: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/13.jpg)
Homework Check
![Page 14: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/14.jpg)
I Can….
express ratios in all forms.
(ex. a:b, a to b, and )
![Page 15: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/15.jpg)
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 quantity. • I must pay careful attention to the order the question ask me to answer.• 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.
![Page 16: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/16.jpg)
I Can….
explain the meaning of ratios
![Page 17: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/17.jpg)
Review the Meaning of 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.
![Page 18: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/18.jpg)
I Can….
Create and determine
equivalent ratios.
![Page 19: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/19.jpg)
Reviewing Equivalent RatiosWhen:• The question asks me if the ratios are equivalent .• The question ask me if the ratios make a proportion.
How:• I can find their cross products. or• I can determine their unit rates. or• I can scale them up or down.
Example:
I can check my answer by: by trying two or more ways.
![Page 20: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/20.jpg)
I Can….
Create and use a ratio table, by
scaling a given ratio up and/or down.
![Page 21: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/21.jpg)
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 for 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.• I must go from the original to the new everytime.Example:I can check my answer by: Calculating the unit rate for each ratio. They will all have the same unit rate if they are equivalent.
![Page 22: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/22.jpg)
Watch This
• http://learnzillion.com/lessons/606-create-equivalent-ratios
• http://learnzillion.com/lessons/607-simplify-ratios-using-common-factors
![Page 23: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/23.jpg)
Wrap it Up
• Review
• Questions
• Exit Tickets
![Page 24: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/24.jpg)
Day 3
![Page 25: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/25.jpg)
Bell Work
Complete the provided page.
![Page 26: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/26.jpg)
Vocabulary
Rate-
Unit Rate-
Ratio-
Proportion-
Fraction-
Percentage-
Scaling-
Ratio Table-
Equivalent-
Rate of Change-
Equal or the same.
A comparison of two numbers by division. A ratio that compares a part to the whole or set.
A ratio used to compare parts per 100. Represents a part to whole relationship.An equation composed of two equivalent ratios.
A ratio used to compare quantities with different units of measure.
Describes how one quantity changes in relation to another quantity.
A comparison of two or more quantities.
A table composed of equivalent ratios.
To increase or decrease a ratio, using proportional reasoning.
A rate decreased to a comparison of 1.
![Page 27: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/27.jpg)
Homework Check
![Page 28: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/28.jpg)
I Can….
Find a missing quantity using a given ratio.
![Page 29: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/29.jpg)
Reviewing ProportionsWhen: • 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 find a larger or smaller ratio.
How:• I can use a proportion to organize my thoughts and give me a visual.• I must be careful to list the quantities in the order they are asked in the question.• I can figure out how the ratio is being scaled (up or down) and by how much. or• I can also use a proportion to cross multiply and divide to find equivalent cross
products.
Examples:
I can check my answer by: cross multiplying the original ratio and the ratio I created.
![Page 30: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/30.jpg)
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
![Page 31: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/31.jpg)
Wrap it Up
• Review
• Questions
• Exit Tickets
![Page 32: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/32.jpg)
Day 4
![Page 33: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/33.jpg)
Vocabulary
Rate-
Unit Rate-
Ratio-
Proportion-
Fraction-
Percentage-
Scaling-
Ratio Table-
Equivalent-
Rate of Change-
Equal or the same.
A comparison of two numbers by division. A ratio that compares a part to the whole or set.
A ratio used to compare parts per 100. Represents a part to whole relationship.An equation composed of two equivalent ratios.
A ratio used to compare quantities with different units of measure.
Describes how one quantity changes in relation to another quantity.
A comparison of two or more quantities.
A table composed of equivalent ratios.
To increase or decrease a ratio, using proportional reasoning.
A rate decreased to a comparison of 1.
![Page 34: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/34.jpg)
Homework Check
![Page 35: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/35.jpg)
I Can….
Calculate unit rates.
![Page 36: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/36.jpg)
Reviewing Unit RatesWhen: • The question ask me what is the unit rate.• The question asks me which is a better buy.• The question asks me to how much for one or how much per something.
How:• I must be careful to list the quantities in the order they are asked in the question.• I must include the units (labels) in the rate.• I can divide the top number by the bottom number, and place the quotient over a 1 or• I can scale the rate down. or• I can set up a proportion and 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.
![Page 37: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/37.jpg)
Station Rotation
Clear you desk of everything except for a
pencil.
![Page 38: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/38.jpg)
Wrap it Up
• Review
• Questions
• Exit Tickets
![Page 39: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/39.jpg)
Day 5
![Page 40: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/40.jpg)
Let’s Review
PleaseTake out your
Study Guides
![Page 41: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/41.jpg)
Vocabulary
Rate-
Unit Rate-
Ratio-
Proportion-
Fraction-
Percentage-
Scaling-
Ratio Table-
Equivalent-
Rate of Change-
Equal or the same.
A comparison of two numbers by division. A ratio that compares a part to the whole or set.
A ratio used to compare parts per 100. Represents a part to whole relationship.An equation composed of two equivalent ratios.
A ratio used to compare quantities with different units of measure.
Describes how one quantity changes in relation to another quantity.
A comparison of two or more quantities.
A table composed of equivalent ratios.
To increase or decrease a ratio, using proportional reasoning.
A rate decreased to a comparison of 1.
![Page 42: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/42.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.
![Page 43: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/43.jpg)
Test Time
![Page 44: Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.](https://reader030.fdocuments.in/reader030/viewer/2022012904/5697c01a1a28abf838ccf0dd/html5/thumbnails/44.jpg)
Wrap it Up
• Review
• Questions
• Quiz