Chapter 3Ratios and

Rates

Day…..

1. Ratio Tables

2. Unit Rates

3. Proportions

4. Review and Quiz

5. Lego Ratios

Day 1

Bell WorkComplete the provided page.

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

I Can….

express ratios in all forms.

(ex. a:b, a to b, and )

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.

I Can….

explain the meaning of ratios

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.

I Can….

Create and use a ratio table, by

scaling a given ratio up and/or down.

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.

Watch This

• http://learnzillion.com/lessons/606-create-equivalent-ratios

• http://learnzillion.com/lessons/607-simplify-ratios-using-common-factors

Wrap it Up

• Review

• Questions

• Exit Tickets

Day 2

Bell Work

Complete the provided page.

Homework Check

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

I Can….

Create and determine

equivalent ratios.

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.

I Can….

Calculate unit rates.

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.

Wrap it Up

• Review

• Questions

• Exit Tickets

Day 3

Bell Work

Complete the provided page.

Homework Check

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

I Can….

Find a missing quantity using a given ratio.

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.

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

Wrap it Up

• Review

• Questions

• Exit Tickets

Day 4

Let’s Review

PleaseTake out your

Study Guides

Homework Check

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

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.

pOp Quiz

• Take out a pencil and a calculator

• Clear everything else from your desk

Wrap it Up

• Review

• Questions

• Exit Tickets

Day 5

Bell Work

Complete provided page.

Homework Check

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

Lego Ratios

Please clear your desk of everything except for a pencil and a calculator.

Wrap it Up

• Review

• Questions

• Quiz