chapter 3 ratios and rates. day….. 1.ratio tablesratio tables 2.unit ratesunit rates...

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