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

Slides:

Advertisements

Similar presentations

Preview Warm Up California Standards Lesson Presentation.

Advertisements

6.1 – Ratio and Proportion Ratio: is the quotient of two numbers or quantities. The ratio of a number a to a number b can be written several ways. Write.

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

Constructed Response Assessment October 17th A ratio is a comparison of two quantities using division. Ratios can be written in three different ways:

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

Math 009 Unit 5 Lesson 4. Obj: To determine whether a proportion is true A proportion is a statement of equality between two ratios or between two rates.

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.

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.

Using Cross Products Lesson 6-4. Cross Products When you have a proportion (two equal ratios), then you have equivalent cross products. Find the cross.

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.

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.

1 ratios 9C5 - 9C6 tell how one number is related to another. may be written as A:B, or A/B, or A to B. compare quantities of the same units of measurement.

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

5-5 Solving Proportions Warm Up Problem of the Day Lesson Presentation

Identifying and Writing Proportions 4-2

Holt CA Course Customary Measurements Warm Up Warm Up Lesson Presentation California Standards Preview.

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

Unit 7 Similarity. Part 1 Ratio / Proportion A ratio is a comparison of two quantities by division. – You can write a ratio of two numbers a and b, where.

Solving Proportions. 2 ways to solve proportions 1. Equivalent fractions (Old) Cross Products (New)

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

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.

5 Minute Check. 2 x 2 x 4 2 x 3 5 Minute Check.

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

Rate It Simplify It Solve ItPotluck Fraction Fun.

Holt Algebra Percents 2-8 Percents Holt Algebra 1 Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Warm Up Warm Up.

6.1 Ratios, Proportions and Geometric Mean. Objectives WWWWrite ratios UUUUse properties of proportions FFFFind the geometric mean between.

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

Solving Equations With Fractions

Preview Warm Up California Standards Lesson Presentation.

Find the slope of the line through each pair of points.

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

Power Point shared with permission from

DO NOW (not later): Compare the number of boys to girls in the class.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Direct Variation Lesson 2-3.

Similar figures are figures that have the same shape but not necessarily the same size. The symbol ~ means “is similar to.” 1.

Lesson 1 Data Analysis Ratios and Rates.

Main Idea and New Vocabulary Key Concept: Similar Polygons

Ratios 4 Possible Ways to Write a Ratio #1

Using Proportions to solve Problems

The Pythagorean Theorem

Ratios, Proportions, and the Geometric Mean

Notes A ratio is a comparison of two quantities.

By, Mrs. Muller Proportions.

Rates, Ratios, and Proportions

Ratios, Proportions, and the Geometric Mean

Learn to find equivalent ratios and to identify proportions.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Gateway – Unit 7 – Green Architecture

3rd week of the first six week

A comparison of one quantity to another quantity

Write a proportion that compares hours of work to pay.

Lesson 6 Ratio’s and Proportions

Warm Up Find the slope of the line through each pair of points.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Copy planner 7-1 Ratios and Proportions Warm Up

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Identifying and Writing Proportions 4-2

Using Cross Products Chapter 3.

Presentation transcript:

Essential Questions: How do we solve problems involving ratios and proportions?

Study the equation 3 a 5 20 What is the value of a? 3/100 5/3 12 60 =

A floor pattern has a ratio of 3 blue tiles for every 8 green tiles A floor pattern has a ratio of 3 blue tiles for every 8 green tiles. If the floor pattern is expanded so that there are a total of 48 green tiles, how many blue tiles in all will be included? 6 16 18 128

Look at this proportion 2 28 7 x What is the value of x? 98 2 14 8 =

Look at the similar triangles What is the side length represented by x? 8 24 18 72 12 36 x 24

Ratio Movie

Notes 12 inches = 1 foot 3 feet = 1 yard 36 inches = 1 yard 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 12 inches = 1 foot 3 feet = 1 yard 36 inches = 1 yard

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.

Practice 15 cows to 25 sheep 24 cars to 18 trucks 30 Knives to 27 spoons

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

Practice 4 feet to 24 inches 3 yards to 12 feet 2 yards to 20 inches

Notes 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

Practice

Lesson Quiz: Part I Write each ratio in simplest form. 1. 22 tigers to 44 lions 2. 5 feet to 14 inches 1 2 30 7 Find a ratios that is equivalent to each given ratio. 4 15 3. 8 30 12 45 Possible answer: , 7 21 4. 1 3 14 42 Possible answer: ,

Lesson Quiz: Part II Simplify to tell whether the ratios are equivalent. 16 10 5. 32 20 8 5 = ; yes and 36 24 6. 28 18 3 2 14 9  ; no and 7. Kate poured 8 oz of juice from a 64 oz bottle. Brian poured 16 oz of juice from a 128 oz bottle. Are the ratios of poured juice to starting amount of juice equivalent? 8 64 16 128 and ; yes, both equal 1 8