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Chapter 3 Ratios and Rates. Day…. Introducing Rates Unit Rates Graphing Rates of Change Rates and Ratios in Review Pop Quiz. Day 1. Bell Work. Walt can mow 500ft 2 in10 minutes. If he does not slow down, how long will it take him to mow his parents lawn that measures 3,500ft 2 ?

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Presentation Transcript
slide2
Day…..
  • Introducing Rates
  • Unit Rates
  • Graphing Rates of Change
  • Rates and Ratios in Review
  • Pop Quiz
bell work
Bell Work

Walt can mow 500ft2 in10 minutes. If he does not slow down, how long will it take him to mow his parents lawn that measures 3,500ft2?

Justify your Response

vocabulary
Vocabulary
  • A ratio comparing two quantities with different kinds of units.
  • Rate –

(Example: 4 tires: 1 car)

  • Unit Rate –

(Example: )

  • – A comparison of two quantities by division. (Example: a:b, a to b, )
  • – ratios the express the same relationship between two quantities.

(Example: 10:15 is equivalent to 2:3 and 20:30)

  • – to multiply or divide two related quantities by the same number.

(Example: x)

  • – a table with columns filled with pairs of numbers that have the same ratio.

Example:

  • a rate that is simplified so that it has a denominator of one.

Ratio

Equivalent Ratio

Scaling

Ratio Table

i can
I Can….

Explore rates using models.

introducing rates
Introducing Rates

Essential Understanding:

  • A rate is a ratio that compares two quantities with different kinds of units. For example: 120 miles in two hours.
  • Because rates compare quantities with different units, the units must be included when writing or solving rates.
  • Just like before we must be careful to write the units in the order they are given.
  • Because rates are ratios, they can be written in all three forms; colon 120 miles: 2 hours, 120 miles in two hours, and .
watch this
Watch This
  • http://learnzillion.com/lessons/839-understand-rates-as-a-type-of-ratio

(6 minutes)

  • http://learnzillion.com/lessons/614-solve-rate-problems-using-multiplicative-reasoning

(7 minutes)

wrap it up
Wrap it Up
  • Review
  • Questions
  • Exit Tickets
bell work1
Bell Work

Mark works in a factory where he is paid buy the piece to put together roof vents. He clocked himself one day and found he could make one roof vent in 20 minutes. If he works an 8 hour shift, how many roofs vents can he make in one day?

vocabulary1

No New

Vocabulary

Vocabulary

Rate

  • A ratio comparing two quantities with different kinds of units.

(Example: 4 tires: 1 car)

(Example: )

  • – A comparison of two quantities by division. (Example: a:b, a to b, )
  • – ratios the express the same relationship between two quantities.

(Example: 10:15 is equivalent to 2:3 and 20:30)

  • – to multiply or divide two related quantities by the same number.

(Example: x)

  • – a table with columns filled with pairs of numbers that have the same ratio.

Example:

Unit Rate

  • a rate that is simplified so that it has a denominator of one.

Ratio

Equivalent Ratio

Scaling

Ratio Table

i can1
I Can….

Determine unit rates

And

Solve unit rate problems including those involving unit pricing and constant speed.

unit rates
Unit Rates

Essential Understanding:

  • A unit rate is a rate that has been simplified to a denominator of 1.
  • Remember a rate is a ratio and it must be scaled down by division.
  • To determine a unit rate, you simply divide the numerator by the denominator and place the quotient over a denominator of 1.
watch this1
Watch This
  • http://learnzillion.com/lessons/840-create-unit-rate-using-diagram
  • (5 Minutes)
  • http://learnzillion.com/lessons/841-create-unit-rate-using-tape-diagram
  • (5 minutes)
practice
Practice

Please take out your maker boards

wrap it up1
Wrap it Up
  • Review
  • Questions
  • Exit Tickets
bell work2
Bell Work
  • Mr. Vanderson drove 110 miles in 2 hours. How fast did Mr. Vanderson drive?
  • Nikki can bounce a basket ball 900 times in 20 minutes. How may times can Nikki bounce a basketball in one minute.
  • Dakota walked 12 blocks to his uncle’s house in 30 minutes. How many minutes did it take Dakota to walk 1 block?
vocabulary2

No New

Vocabulary

Vocabulary

Rate

  • A ratio comparing two quantities with different kinds of units.

(Example: 4 tires: 1 car)

(Example: )

  • – A comparison of two quantities by division. (Example: a:b, a to b, )
  • – ratios the express the same relationship between two quantities.

(Example: 10:15 is equivalent to 2:3 and 20:30)

  • – to multiply or divide two related quantities by the same number.

(Example: x)

  • – a table with columns filled with pairs of numbers that have the same ratio.

Example:

Unit Rate

  • a rate that is simplified so that it has a denominator of one.

Ratio

Equivalent Ratio

Scaling

Ratio Table

i can2
I Can….

Plot a rate of change on a graph.

rate of change
Rate of Change

Essential Understanding:

  • A graph can be used to illustrate a rate of change, such as changes over time and distance.

Please open your book to page 162

watch this2
Watch This
  • http://learnzillion.com/lessons/615-graphing-rate-problems-using-a-table

(7 minutes)

your turn
Your Turn….
  • Clear your desk of everything but a pencil and a calculator.
wrap it up2
Wrap it Up
  • Review
  • Questions
  • Exit Tickets
bell work3
Bell Work

A store sold 255 DVDs in 5 days. If sales continue at this rate, how many DVDs can the expect to sell in 30 days?

Graph the rate of change for each day on the given graph card.

vocabulary3

No New

Vocabulary

Vocabulary

Rate

  • A ratio comparing two quantities with different kinds of units.

(Example: 4 tires: 1 car)

(Example: )

  • – A comparison of two quantities by division. (Example: a:b, a to b, )
  • – ratios the express the same relationship between two quantities.

(Example: 10:15 is equivalent to 2:3 and 20:30)

  • – to multiply or divide two related quantities by the same number.

(Example: x)

  • – a table with columns filled with pairs of numbers that have the same ratio.

Example:

Unit Rate

  • a rate that is simplified so that it has a denominator of one.

Ratio

Equivalent Ratio

Scaling

Ratio Table

i can3
I Can….

Use ratio and rate reasoning to solve real-world and mathematical problems

station rotations
Station Rotations
  • Write your exit ticket.
  • Pack up everything but a pencil.
  • You will have 15 minutes to complete each rotation
wrap it up3
Wrap it Up
  • Review
  • Questions
  • Exit Tickets
bell work4
Bell Work
  • A 5lb sack of potatoes cost $4.32. An 8lb sack of potatoes cost $6.78. Which is the better deal?
  • Jessie says she will charge Jim $45.00 for 3 hours of tutoring. Mark says he will charge Jim $90.00 for 5 hours of tutoring. Who offers Jim the better hourly rate of pay?
vocabulary4

No New

Vocabulary

Vocabulary

Rate

  • A ratio comparing two quantities with different kinds of units.

(Example: 4 tires: 1 car)

(Example: )

  • – A comparison of two quantities by division. (Example: a:b, a to b, )
  • – ratios the express the same relationship between two quantities.

(Example: 10:15 is equivalent to 2:3 and 20:30)

  • – to multiply or divide two related quantities by the same number.

(Example: x)

  • – a table with columns filled with pairs of numbers that have the same ratio.

Example:

Unit Rate

  • a rate that is simplified so that it has a denominator of one.

Ratio

Equivalent Ratio

Scaling

Ratio Table

i can4
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.

let s review
Let’s Review

Please

Take out your Study Guide

p o p quiz
pOp Quiz
  • Take out a pencil and a calculator
  • Clear everything else from your desk
wrap it up4
Wrap it Up
  • Classroom Store
  • Exit Tickets
computer station
Computer Station
  • http://learnzillion.com/lessons/842-define-unit-rate-using-double-number-line
  • http://learnzillion.com/lessons/613-solve-rate-problems-using-double-number-lines
  • http://learnzillion.com/lessons/612-solve-for-missing-values-in-rate-problems-using-a-table

(6 minutes per video)