RATIO.

Slides:

Advertisements

Similar presentations

5-2 Identifying and Writing Proportions Warm Up Problem of the Day

Advertisements

Ratios & Rates. What is a ratio? A ratio is the comparison between two quantities Have we studied anything that would be considered a ratio? Fractions.

Pre-Algebra Homework Page 344 #9-25.

HW # 55 - Watch videos # 1,4,7, 22, 23 Copy the examples onto your paper. Do p # 1-35 odd and # 36 Warm up The number of Roberto’s baseball cards.

Ratios and Proportions

Preparation for MG1.1 Compare weights, capacities, geometric measures, times, and temperatures within and between measurement systems (e.g., miles per.

4-1 Ratios & Proportions.

R ATIOS AND P ROPORTIONS Objective: Finding Equivalent Ratios to Create Proportions.

A ratio is a comparison of two quantities by division.

Proportions  A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal.  3 = 6 is an example of a proportion.

EXAMPLE 1 Simplify ratios SOLUTION 64 m : 6 m a. Then divide out the units and simplify. b. 5 ft 20 in. b. To simplify a ratio with unlike units, multiply.

Example 1: Convert Area Measurements

EXAMPLE 2 Identifying Equivalent Fractions

Ratio- compares one number to another.

A ratio is a comparison of two quantities. Ratios can be written in several ways. 7 to 5, 7:5, and name the same ratio Notes 12 inches = 1 foot 3.

Ratios, Rates, and Proportions

7 th Grade Pre-algebra Chapter 6 Notes. 6.1 Ratios and Rates Vocabulary Ratio: a comparison of two numbers by division. Rate: a ratio of two measurements.

Warm Up Write each fraction in lowest terms

Lesson 6-1 Pages Ratios and Rates. What you will learn! 1. How to write ratios as fractions in simplest form. 2. How to determine unit rates.

ratio percent Write fractions as percents and percents as fractions.

Ratios. To make the batch of trail mix, how many scoops of raisins should you use for every 1 scoop of peanuts? Explain your reasoning. Warm-Up The diagram.

$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.

Splash Screen. Then/Now You have already learned operations with fractions. (Lessons 3–3 and 3–4) Write ratios as fractions in simplest form. Simplify.

2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Fractions and Sets Comparing Fractions.

Holt CA Course Identifying and Writing Proportions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

Holt CA Course Identifying and Writing Proportions An equation stating that two ratios are equivalent is called a proportion. The equation, or proportion,

Identifying and Writing Proportions 4-2

Course Ratios and Proportions Warm Up Write each fraction in lowest terms

RATIOS AND PROPORTIONS

Splash Screen Lesson 1 Contents Objective #1: Write Ratios as fractions in simplest form Example 1Write Ratios as Fractions Example 2Write Ratios as.

Fractions, Decimals, and Percents SWBAT model percents; write percents as equivalent ratios and to write ratios as equivalent percents; write percents.

4-3 Identifying and Writing Proportions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.

Chapter 1.3 Conversion Factors and Unit Cancellation.

Course Ratios and Proportions 5-1 Ratios and Proportions Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson.

Pre-Algebra 7-1 Ratios and Proportions Warm Up Write each fraction in lowest terms. Pre-Algebra 7-1 Ratios and Proportions

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

5-4 Identifying and Writing Proportions Warm Up Problem of the Day

Then/Now You have already learned operations with fractions. Write ratios as fractions in simplest form. Simplify ratios involving measurements.

Ratios & Proportional Relationships. Ratios Comparison of two numbers by division. Ratios can compare parts of a whole or compare one part to the whole.

Warm Up Find the unit rate miles in 3 hours

Ratios with Fractions.

Study the equation 3 a 5 20 What is the value of a? 3/100 5/ =

Simplest Form of a Fraction

Ratios Rates & Unit Rates Ratio Tables Equivalent Ratios

5-4 Identifying and Writing Proportions Warm Up Problem of the Day

Power Point shared with permission from

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Lesson 41: Units, Unit Multipliers

Ratios 4 Possible Ways to Write a Ratio #1

Ratios Compare the number of boys to girls in the class.

Ratios Dittamo Lewis Notes 2012.

Writing, simplifying, and equivalent

Notes A ratio is a comparison of two quantities.

Which fraction is the same as ?

Learn to find equivalent ratios and to identify proportions.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Length in the Customary System.

Direct Conversions Dr. Shildneck.

3rd week of the first six week

What is a Ratio?.

A comparison of one quantity to another quantity

Chapter 7-1 Ratios and Rates

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Identifying and Writing Proportions 4-2

Presentation transcript:

RATIO

A ratio is a comparison of two quantities. Ratios can be written in several ways. 7 to 5, 7:5, and name the same ratio. 7 5

Additional Example 1: Writing Ratios in Simplest Form Write the ratio 15 bikes to 9 skateboards in simplest form. bikes skateboards 15 9 Write the ratio as a fraction. = 15 ÷ 3 9 ÷ 3 5 3 Simplify. = = 5 3 The ratio of bikes to skateboards is , 5:3, or 5 to 3.

The ratio of shirts to jeans is , 8:3, or 8 to 3. Check It Out! Example 1 Write the ratio 24 shirts to 9 jeans in simplest form. shirts jeans 24 9 Write the ratio as a fraction. = 24 ÷ 3 9 ÷ 3 8 3 = = Simplify. 8 3 The ratio of shirts to jeans is , 8:3, or 8 to 3.

When simplifying ratios based on measurements, write the quantities with the same units, if possible.

Additional Example 2: Writing Ratios Based on Measurement Write the ratio 3 yards to 12 feet in simplest form. First convert yards to feet. 3 yards = 3 ● 3 feet There are 3 feet in each yard. = 9 feet Multiply. Now write the ratio. = 3 yards 12 feet 9 feet 12 feet 3 4 = 9 ÷ 3 12 ÷ 3 = Simplify. The ratio is , 3:4, or 3 to 4. 3 4

Check It Out! Example 2 Write the ratio 36 inches to 4 feet in simplest form. First convert feet to inches. 4 feet = 4 ● 12 inches There are 12 inches in each foot. = 48 inches Multiply. Now write the ratio. = 36 inches 4 feet 36 inches 48 inches 3 4 = 36 ÷ 12 48 ÷ 12 Simplify. = The ratio is , 3:4, or 3 to 4. 3 4

Ratios that make the same comparison are equivalent ratios Ratios that make the same comparison are equivalent ratios. Equivalent ratios represent the same point on the number line. To check whether two ratios are equivalent, you can write both in simplest form.

Additional Example 3: Determining Whether Two Ratios Are Equivalent Simplify to tell whether the ratios are equivalent. Since , the ratios are equivalent. 1 9 = 3 27 A. and 2 18 3 27 = = 3 ÷ 3 27 ÷ 3 1 9 2 18 = = 2 ÷ 2 18 ÷ 2 1 9 12 15 B. and 27 36 12 15 = = 12 ÷ 3 15 ÷ 3 4 5 Since , the ratios are not equivalent. 4 5  3 27 36 = = 27 ÷ 9 36 ÷ 9 3 4

Simplify to tell whether the ratios are equivalent. Check It Out! Example 3 Simplify to tell whether the ratios are equivalent. Since , the ratios are equivalent. 1 5 = 3 15 A. and 9 45 3 15 = = 3 ÷ 3 15 ÷ 3 1 5 9 45 = = 9 ÷ 9 45 ÷ 9 1 5 14 49 = = 14 ÷ 7 49 ÷ 7 2 7 Since , the ratios are not equivalent. 2 7  4 9 14 49 B. and 16 36 16 36 = = 16 ÷ 4 36 ÷ 4 4 9

Additional Example 4: Earth Science Application At 4°C, four cubic feet of silver has the same mass as 42 cubic feet of water. At 4°C, would 20 cubic feet of silver have the same mass as 210 cubic feet of water? Since , 210 cubic feet of water would have the same mass at 4°C as 20 cubic feet of silver. 2 21 = 4 42 ? = 20 210 ft3 silver ft3 water 4 ÷ 2 42 ÷ 2 ? = 20 ÷ 10 210 ÷ 10 Divide. 2 21 = Simplify.

Check It Out! Example 4 At 4°C, two cubic feet of silver has the same mass as 21 cubic feet of water. At 4°C, would 105 cubic feet of water have the same mass as 10 cubic feet of silver? 2 21 ? = 10 105 ft3 silver ft3 water Since , 105 cubic feet of water would have the same mass at 4°C as 10 cubic feet of silver. 2 21 = ? = 10 ÷ 5 105 ÷ 5 2 21 Divide. 2 21 = Simplify.

COMPARISON BETWEEN RATIOS AND RATE