SOLVING PROPORTIONS Unit 6 CCMATH 7.

Slides:



Advertisements
Similar presentations
Y9 Booster Lesson 15. Objectives Use ratio notation Consolidate understanding of proportion Begin to use graphs to solve simple problems using direct.
Advertisements

LESSON 4 INTRODUCING SCALE FACTOR. OBJECTIVES Content Objective: Make comparisons and reason about ratio and proportional situations using proportions.
Using Tape Diagrams to Solve Ratio Problems
Rates, Ratios, and Proportions
6.2 Students will use proportions to solve percentage problems. Warm Up Rewrite each value as indicated. 1. as a percent 2. 25% as a fraction 3. as a decimal.
Writing and Solving Proportions. Proportions Proportion is an equation stating that two ratios are equivalent. Proportional are two quantities that form.
Finding a Percent of a Number Lesson 6-7. Using a Proportion Set up a proportion that uses the percent over 100. Cross multiply to write an equation.
Warm Up Change each percent to a decimal % % % 4. 1%
Lesson 1-1 Example Example 1 Karen bought a dress that cost $32. She paid 7% in sales tax. How much did she pay in tax? 1.Write the percent proportion.
Unit 7 - Lesson 4 Direct Variation
6.2.1 Use Proportions to solve Geometry Problems.
Ratio, Rate, Proportion, and Percent. Ratio  Comparison of two numbers by division  Can be written three different ways 4 to 9 4 :
PercentsPercents SWBAT: Solve problems involving percents.
Solving Percent Problems Using Proportions
Chapter 9: Lesson 4: Solving Percent Problems with Proportions
Chapter 10: Lesson 4: Solving Percent Problems with Proportions
Question 1 The recipe for chocolate chip cookies requires 3 cups of chocolate chips for every 8 cups of flour. What is the ratio of chocolate chips to.
6.RP - Understand ratio concepts and use ratio reasoning to solve problems. 1. Understand the concept of a ratio and use ratio language to describe a.
When comparing two objects of the same proportion... Proportional Relationships Proportion: a statement that two ratios are equal.
Finding Percent.
2-8 Percents Warm Up Lesson Presentation Lesson Quiz Holt Algebra 1.
Lesson Topic: Solving Percent Problems Lesson Objective: I can…  Find the percent of a quantity. Given a part and the percent, I can solve problems involving.
Lesson 2-6 Warm-Up.
To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips.
Percents with Proportions Math 7 Unit 6 Adapted from Prentice Hall Lesson 6-6.
In the mall parking lot, 60% of the cars are blue. If there are 240 blue cars in the parking lot, what is the total number of cars?
Holt Algebra Percents 2-8 Percents Holt Algebra 1 Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Warm Up Warm Up.
Finding a Percent of a Number
2-8 Percents Warm Up Lesson Presentation Lesson Quiz Holt Algebra 1.
Converting Customary Units
LET’S PLAY JEOPARDY!!.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Lesson 85 Warm Up Pg. 441.
Do Now: 10/30/17
MATH 6 – Monday, February 15 Objective: Have fun on your snow day!!
Defining Success Use ratio and rate reasoning to solve real-world and mathematical problems. Read as is.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Proportions and Percent Equations
Proportions.
Finding a Percent of a Number
Proportions TeacherTwins©2014.
Lesson 5.2 Proportions Students will be able use cross multiply to determine if the two ratios are equivalent.
CS 3.1: Proportions with Percents
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Rates (unit Rate) Ratio Solving
2-8 Percents Warm Up Lesson Presentation Lesson Quiz Holt Algebra 1.
Lesson 3.1 How do you solve one-step equations using subtraction, addition, division, and multiplication? Solve one-step equations by using inverse operations.
Lesson Day 2 – Teacher Notes
Warm-up November 27, 2017 Page 449 Problems 31 and 32
Proportions Determine if the ratios can form a proportion. , b. a.
Finding a Percent of a Number
Ratios, Proportions, and Percents
2-8 Percents Warm Up Lesson Presentation Lesson Quiz Holt Algebra 1.
Lesson 19 Proportionality Percent Applications.
Comparing and Scaling Develop students ability to make intelligent comparisons of quantitative information using ratios, fractions, decimals, rates, unit.
7 Percent.
Percents and Proportions Unit Day One, Two and Three
Warm Up Change each percent to a decimal % % % 4. 1%
Scale factors and similarity
DOUBLE NUMBER LINE DIAGRAMS For example: 10 meters in 4 seconds
Let f(x)=2x+1 What is x when f(x)=5?
Ratios, Unit Rates, and Proportions
Ratios, Unit Rates, and Proportions
Proportion Guided Notes
Write a proportion that compares hours of work to pay.
Lesson 6 Ratio’s and Proportions
To Start: 10 Points Find the unit price of 40 gallons of gas for $132 $3.30 per gallon There are 64 boys and 72 girls in the 7th grade. Find the ratio.
Solving Ratio Problems using Ratio Tables
Chapter Five: Ratios and Proportions
Changing Ratios to Percents
Presentation transcript:

SOLVING PROPORTIONS Unit 6 CCMATH 7

Warm-Up 1. At Cocoa Bean Chocolate Factory, 2 pounds of their world-famous chocolate fudge sells for $1.00. Use the ratio table to find the costs of different amounts of fudge. Fudge (pounds) 1 2 3 4 11 Cost (dollars) 1.00 3.00 5.00 6 10 0.50 1.50 2.00 5.50 Adapted from MathScape: Blue “Buyer Beware” R12

What if… …We add a little more to this problem. If we had said we wanted to know how much fudge we could buy with $5.00, how many ways do we know how to solve the problem? X 10 ? X 5 ? ÷ 2 ? Fudge (pounds) 2 Cost (dollars) 1.00 5.00 Fudge (pounds) 1 2 Cost (dollars) 1.00 5.00 10 10 0.50 ÷ 2 ? X 10 ? X 5 ? 1. Multiplication 2. Unit Rate Adapted from MathScape: Blue “Buyer Beware” R12

Any others? How about double number line diagrams? Pounds of fudge 2 4 2 4 6 8 10 Cost (dollars) 1.00 2.00 3.00 4.00 5.00 Adapted from MathScape: Blue “Buyer Beware” R12

Let’s consider something new… What are the three ways to write 2 pounds for $1.00 as a ratio? Could we use the idea of equivalent ratios to solve our problem? 2 pounds to $1.00 , , 2 pounds : $1.00 Adapted from MathScape: Blue “Buyer Beware” R12

Equivalent Ratios How many pounds of fudge can we buy for $5.00? X 5 ? Adapted from MathScape: Blue “Buyer Beware” R12

Equivalent Ratios Let’s take a closer look at these ratios… When two ratios are equivalent, their cross products should be equivalent. Are they? When this is true, the two equivalent ratios are called a proportion. Adapted from MathScape: Blue “Buyer Beware” R12

To solve proportions… We can use – Cross products Double number lines Ratio tables Scale factors Unit rates Tape diagrams (when units of measurement are equivalent)

Take a look at Mathscape, RATES, RATIOS, PERCENTS, and PROPORTIONS, Blue, “Buyer Beware”, Lesson 7, pages 20-21