sharing ratio ppt

R: Ratio Tables

F: Quiz/Proportions (Tape)

M: Double Number Lines (Review Tape)

T: Cross Multiply (Review Double)

W: Review Cross & Quiz

F: Review (Activity)

T: Percents

Unit Two:� Ratios and Proportions

Quiz Friday.

8 questions.

Covers our Days 1 and 2 lessons

(ratios and tables)

10 minutes to complete.

Order Matters!

Writing Ratios Examples

Writing Ratio Examples

For each picture, write a sentence to describe a ratio relationship between two quantities.

Name the ratio using math symbols.

1. Stars to moons.

2. Bugs to grasshoppers .�

3. Cones to scoops of ice cream.

4. Puppies to kittens.

5. Apples to pieces of fruit .

6. Clownfish to starfish .

7. Yellow cars to red cars.

8. Satellites to cell phones . �

9. Sneakers to basketballs . �

• Pizzas to delivery people. �
• Wheels to bicycles. �
• Skateboards to things with wheels .

Opening Assignment

7.1 Ratio Worksheet

Word Problem

The table shows how much bus fare costs for different sized groups.

Unlike you, Mr. Lasseter and Sofia Vergara have lots of friends. How much would their group of 700 people cost to ride the bus?

Using Tables to Examine Ratios

Complete the Tables Below.

Proportions

Essential Question :

“How did proportions kill Osama Bin Laden?”

A proportion is an equation showing two ratios are equal.

In a proportion, if the ratios are equivalent. Then the cross-products are equal.

You will see 3 ways to solve proportions:

Tape Diagrams

Double Number Lines

• Cross-Multiplication and Equations.

Are these ratios proportional?

https://learnzillion.com/lessons/589-solve-ratio-problems-using-a-tape-diagram

http://www.mathplayground.com/tb_ratios/thinking_blocks_ratios.html

Tape Diagram

• A tape diagram looks like a piece of tape and shows the relationship in a given ratio
• It is also called:
• Strip diagram
• Fraction Strip
• Length model
• Tape diagrams work very well to show PART to PART and PART to WHOLE ratios
• School A has 500 students, which is 2 ½ times as many students as School B. How many more students attend school A?

Tape Diagram - Example

Keenan has 25 homework assignments per week. Of the 25, five of the assignments are for math and the other assignments are for other subjects. In 125 total assignments, how many non-math assignments  does Keenan have?

• Draw a tape diagram by making a bar to indicate the total number of assignments. Partition off five assignments and label them math.
• What is the ratio of math assignments to total assignments each week?
• What is the ratio of math assignments to total assignments?
• How many assignments are non-math?
• Other assignments to total assignments?
• Math assignments to other assignments?

Turn and talk: Which ratio was needed to solve this problem? Why?

1. For every two tulips in a flower arrangement there are three gardenias. There are 15 flowers in the flower arrangement. How many flowers are gardenias?

2. For every piece of broccoli Davante eats, his mother will give him half of a Chips Ahoy cookie. How many pieces of broccoli does Davante need to eat to get three Chips Ahoy cookies?

3. Read the problem below. Then choose the correct ratio to solve the problem. 

In his garden, Mr. Lasseter has two cucumbers for every six cherry tomatoes. In the garden, there are currently 80 vegetables (cucumbers and cherry tomatoes) growing. How many of the vegetables are cucumbers?

https://learnzillion.com/lessons/609-solve-missing-values-in-ratio-problems-using-a-double-number-line

Example Problem:

Mr. Lasseter goes on 114 Taco Bell dates with Amanda Seyfried for every 24 movies he watches. If he watches 168 movies, how many Taco Bell dates does he go on?

Double Number Line Example 2

Mr. Lasseter punches 7 students for every 17 students he kicks. If he kicked 153 students, how many did he punch?

Solving Proportions by Cross Multiplication

Now try with a word problem.

How did Ratios and Proportions kill Bin Laden?

Spies could see a tall man but not a face.

They knew Osama was tall from pictures.

They measured the heights of shadows and set up a proportion to determine the height of the “mysterious tall man.”

The height of a building is 20 feet . The height of the building’s shadow is 80 feet . The height of the man’s shadow is 26 feet tall. How tall is the man ?

Ratio and Proportion Quiz Wednesday

• Tape Diagram-1
• Double Number Line-1
• Cross-Multiplication-3
• Definitions-2
• 10 problems---15 minutes ONLY!

Log-In to Google Classroom.

Visit the Ratio/Proportion Website.

Complete as much as you can in 10 minutes.

Complete Worksheet 6-2 (both sides).

See Mr. Lasseter for help.

Move Around a Little…

Find the following ratios around the room:

• Boys to Girls
• Tennis Balls to Desks
• Computers to Chairs
• Dinosaurs to Baseballs.
• Flags to Basketball Goals
• Words on the Word Wall to # of units.
• Doors to Windows
• Brooms to Dustpans
• Teachers to students.
• Blue shoes to red shoes.
• Glasses to No Glasses.
• Paddles Mirrors
• Blue Storage Buckets to Clear Storage Buckets

A rate compares two quantities that have different units of measure.

Miles per Hour

Price per Pound

Problems per Minute

Dollars per Hour

To find the rate…

Rate Word Problems

Which day did Mr. Lasseter run faster?

Water rushes over Niagara Falls at the rate of 180 million cubic feet every 30 minutes. How much water goes over the falls in 1 minute?

6 million ft 3

Rates and Ratios

Be Prepared

On your desk…

1 sheet of notebook paper.

Last night’s homework.

Nothing else.

Unit Rate Review

http://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-rates/v/finding-unit-rates

http://www.ixl.com/math/grade-7/unit-rates

Solve the problems on notebook paper as we go.

Complete the Unit Rates with Speed and Price-Matching Worksheet.

Answer My Questions!

How many cents are in $1?

How many years are in a century?

What does the word “per” mean?

What does percent mean?

For every 100

Change These Fractions to Percent.

Changing Percent to a Fraction

How do we change a decimal to a percent?

Move the Decimal Place Two Places to the Right (Multiply by 100)!

Test Tuesday!

Lots of Word Problems

Percent Problems

“How do I extract information from a word problem to solve?”

Joke of the Day

What does a house full of happy cats smell like?

Write This Down!

Percent Word Problems

Example Two: Read Carefully

You May Sometimes Multiply to Find a Percent!

Change the percent to a decimal and multiply.

Find 20% of 150.

0.20 × 150 =

Find 15% of 200.

Find 120% of 80.

Word Problem!

There are 560 students at PGM. If 35% want to grow up to be like Mr. Lasseter, how many want to be like Mr. Awesomeness (A.K.A. Mr. Lasseter)?

196 want to be like Mr. Lasseter . They never will be as cool as him.

Mr. Lasseter is so dreamy!

Exercise-It is Good For You.

Catwoman is 25% of the way through her exercises (being a criminal is hard work). If she has exercised for 20 minutes so far, how much longer does she have to work out?

She still has 60 minutes to go.

Using Percent

Anytime you shop, eat at a restaurant, or spend any money, you are using percent.

Three examples are:

Mr. Lasseter’s Gangsta Polka Music Store

Mr. Lasseter is selling albums for 10% off the regular price. What will you pay for the new Taylor Swift album that costs $14.99?

$14.99 × 0.10 = 1.499

$14.99 – 1.499 = 13.491

Mr. Lasseter and Kat Dennings are on a date to Hip Hop Chicken & Fish. The bill is $13.95. Mr. Lasseter wants to leave a 15% tip. How much will his total bill be?

13.95 × 0.15 = 20.0925

13.95 + 2.0925 =

Mr. Lasseter is buying a kitten for Katy Perry. It costs $79.65. The sales tax is 6%. About how much will the total cost of the kitten be?

79.65 × 0.06 = 4.779

79.65 + 4.779 =

The Biggest Problem Ever!

Mr. Lasseter is buying a new dress for Anna Kendrick. Here are his 3 options:

Which option will cost the least?

Which option will cost the most?

Which did you choose? Explain why?

Option 1: $61.60

Option Two: $61.08

Option Three: $63.60

Option 2 costs the least.

Option 3 costs the most.

Mr. Lasseter would buy all three because Anna loves him.

Advertisement Project

• Test Grade.
• Pick an item and find its price. You will have to draw it (no cutting and pasting).
• Create an advertisement for your product.
• Pick a discount percentage (it must be shown on the advertisement).

Today’s Schedule

• Finish Your Advertisement- 10 minutes .
• Shopping-Pick a classmate and do the math for his or her advertisement (put on your paper)- 10 minutes .
• Check your math with a calculator (if you have one). Tape on the wall outside. Turn in your half sheet for your grade- 10 minutes . Lockers and Restroom .
• Begin your test review. When everyone finishes the advertisement, we will step outside to work with Ms. Waller’s class- 30 minutes .
• Test tomorrow. 15 problems. 45 minutes only.

Unit Two Test Review

15 questions.

45 minutes.

Show all work.

When finished:

• Visit your Google Classroom to complete 2 surveys and 1 SME session.
• Measure your height on the paper up front.

Videos to Help

https://www.youtube.com/watch?v=ROqs3okFh1E

• My presentations

Auth with social network:

Download presentation

We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!

Presentation is loading. Please wait.

Sharing in a Given Ratio

Published by Corrado Righi Modified over 4 years ago

Similar presentations

Presentation on theme: "Sharing in a Given Ratio"— Presentation transcript:

Understanding the relationship of Mass and Volume

Whiteboardmaths.com © 2004 All rights reserved

3:2 powerpointmaths.com Quality resources for the mathematics classroom Reduce your workload and cut down planning Enjoy a new teaching experience Watch.

Whiteboardmaths.com © 2007 All rights reserved

Who Wants To Be A Millionaire?

Bell Work Put your homework on your desk—we will discuss it at 8:30 Make sure you have the following markers: red, blue, green and black Make sure you.

LecturePLUS Timberlake1 Chapter 1 Measurements Density.

Density Formula: Density = Mass ÷ Volume Standard Unit =

Starter activity 60/80 7/21 21/70 90/ /480

1. Which is more dense, water or wood? How do you know? 2. Which is more dense, 1 pound of lead or 100 pounds of lead? Wood, if it sinks in water. SAME!

Sharing in a Given Ratio Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive? This means that for every.

1 2.8 Density Density Calculations Copyright © 2005 by Pearson Education, Inc. Publishing as Benjamin Cummings.

Matter And Measurement 1 Matter and Measurement. Matter And Measurement 2 Length The measure of how much space an object occupies; The basic unit of length,

About project

© 2024 SlidePlayer.com Inc. All rights reserved.

• PowerPoints

Sharing Using Ratios

The following example shows how we can use Ratios for sharing out amounts.

Also shown is the standard approach and working out steps for doing these types of mathematics questions.

As agreed by the three friends, the winnings of $ 120 000 need to be shared amongst them in the same ratio as the money they each contributed towards the ticket.

We now work out from the 20 parts total, how much “One Part” is worth.

After we know what one part is, it is then just simple multiplication to work out what share of the total amount each person gets.

We have our sharing amount answers, and it is always a good idea to check these answers to make sure that they are correct.

There are two levels of checking we can do.

These involve checking the Total of the Amounts, and then checking the Ratio of the Amounts.

Because both checks have been successful, we can be 100% sure that our sharing Answers are correct.

Video about Ratio Sharing

Watch the following video which is about sharing out items in given ratios.

This video uses the notion of “rounds” which might appear a bit different to our example lottery question, but is actually the same.

The total “rounds” are simply the “Total Parts”, and so the video presenter gives so many rounds to each person depending on their share of the ratio.

Steps for Working Out Sharing Questions

The previous example has shown the steps that we need to do to work out a Ratios question which involves sharing amounts.

We use these exact same steps for working out questions that involve dividing up amounts.

Steps for Checking Sharing Questions

As shown at the end of the Lottery example, there were two checks that we need to do for Ratios Sharing Questions.

The first check involves checking that the answer amounts all add up to exactly match the original amount being shared.

The second check involves checking that the Ratio of the answer amounts exactly matches the original sharing ratio.

Ratios Sharing Examples

The following examples show how to do questions which involve dividing up amounts, or sharing amounts.

In each example we follow the standard working out steps:

– Find the Total Number of Parts in the Ratio (Do this by adding up all the number values in the given Ratio to get a Total

– Amount for One Part = (Total Amount being shared) / Total Number of Parts in Ratio

(This tells us what one part is worth)

– Each Share = its Ratio Number x Amount for One Part.

Although not shown on all of our examples, remember that checking our amswer amounts is just as important as doing the working out steps.

The standard Answer Checking Steps are as follows:

– Check all the shares add up to the original given Amount

– Check the Ratio of the Shares simplifies to be the same as the Original Given Ratio.

Related Items

Introduction to Ratios Simplifying Ratios Calculating Ratio Amounts Increasing and Decreasing Using Ratios Fibonacci Sequence in Music

If you enjoyed this post, why not get a free subscription to our website. You can then receive notifications of new pages directly to your email address.

Go to the subscribe area on the right hand sidebar, fill in your email address and then click the “Subscribe” button.

To find out exactly how free subscription works, click the following link:

How Free Subscription Works

If you would like to submit an idea for an article, or be a guest writer on our blog, then please email us at the hotmail address shown in the right hand side bar of this page.

If you are a subscriber to Passy’s World of Mathematics, and would like to receive a free PowerPoint version of this lesson valued at $4.99, but 100% free to you as a Subscriber, then email us at the following address:

Please state in your email that you wish to obtain the free subscriber copy of the “Sharing Using Ratios” PowerPoint.

Feel free to link to any of our Lessons, share them on social networking sites, or use them on Learning Management Systems in Schools.

Enjoy, Passy

Leave a Reply Cancel reply

You must be logged in to post a comment.

• Search for:

Translate Website

Popular lessons.

• Exponents in the Real World
• Three Circle Venn Diagrams
• Online Graph Makers
• Mean Median Mode for Grouped Data
• Sydney Harbour Bridge Mathematics

Latest Lessons

• Sorry – Our Site Got Hacked
• Mathematics of Photography
• Free Exponents Posters
• Exponential Population Growth
• Ocean Mathematics

Our Facebook Page

• AFL Football
• Area Formulas
• Area of Circle
• Area of Composite Shapes
• Area of Ellipse
• Area of Simple Shapes
• Circumference
• Directed Numbers
• eBay Math Problem
• Equations Games
• Equations One Step
• Equations Three Step
• Equations Two Step
• Fibonacci Sequence in Music
• Free Online Math Games
• Free Online Math Tests
• Free Online Math Videos
• Free Online Math Worksheets
• How to Subscribe
• Jobs that use Geometry
• Math Applications
• Math in Music
• Math in the Real World
• Math Videos
• Mathematics of Aircraft
• Mathwarehouse Interactives
• Measurement
• Measurement Formulas
• Microsoft Mathematics
• My Virtual Home
• Off-Road Algebra
• Olympic Games
• Online Calculators
• Online Math Games
• Online Math Lessons
• Online Math Resources
• Online Math Tests
• Online Math Tools
• Online Math Videos
• Online Math Worksheets
• Online Maths Tests Review
• Online Tests and Quizes
• Percentages
• Polynomials
• Probability
• Rounding Numbers
• Straight Line Graphs
• Sydney Harbour Bridge
• Tall Buildings
• Topology and Networks
• Trigonometry
• Tsunami Mathematics
• Uncategorized
• Venn Diagrams
• Wall Charts and Posters
• Weight Training Math
• Word Problems

Who has visited Map

Linking to us, visitor statistics, user feedback.

• Entries RSS
• Comments RSS
• WordPress.org

Donate to Passy’s World

Like us on facebook.

Sharing in a Ratio

Free resources for teachers and students to hopefully make the teaching and learning of mathematics a wee bit easier and more fun.

GCSE Maths Specification and Awarding Body Information

Worksheets with answers , diagnostic questions, interactive resources, probing questions.

Site Search

Introduction to ratio lesson.

Devised for L1 as a first lesson for ratio utilising practical applications for ratio understanding. Please print the last slide as a worksheet to accompany the PPT.

Editor's notes

Introductory example using a KitKat bar, followed by other everyday applications including screen wash, hair tint and paints.  Also (very nicely) covers equality & diversity with discussion about the proportion of White British players in the 2018 England squad.

• Log in to post comments
• Introduction to Wordle: embedded digital skills for ESOL & Functional English
• Black History Month
• Supermarket Sweep: embedded digital skills for ESOL & Functional English
• Speedo Mick
• Best Buys and Proportion
• EDS Unit 3 (Communication) with embedded English tasks
• Booking into a salon Level 1-2
• Pancake Proportions
• Keyboard Confidence: embedded digital skills for ESOL
• L1-2 Probability PPT

Download the medium term plan by clicking on the button above. Use the MTP in conjunction with assessment results and gap analyses to download required resources from below. Use the "Contact PixiMaths" page to request any resources you can't find.

• International
• Schools directory
• Resources Jobs Schools directory News Search

KS4 Ratio - Sharing / Dividing in a Quantity

Subject: Mathematics

Age range: 14-16

Resource type: Other

Last updated

28 October 2014

• Share through email
• Share through twitter
• Share through linkedin
• Share through facebook
• Share through pinterest

Tes classic free licence

Your rating is required to reflect your happiness.

It's good to leave some feedback.

Something went wrong, please try again later.

Just what I needed!

Empty reply does not make any sense for the end user

ColinDeanoDean

Marvellous! The visual representation is particularly helpful too. Thanks for sharing it.

MathsBelongsToAll

Shafiquddin.

THANK YOU FOR SHARING, THE BAR MODELLING METHOD IS REALLY USEFUL.

Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.

Not quite what you were looking for? Search by keyword to find the right resource: