Table of Contents Topic Page #... 3.4B Many or No Solution33 3.8A Solving Equations35 3.8B Solving Formulas37 6.5 Absolute Value Equations39 3.5/3.6 Ratios.

Slides:

Advertisements

Similar presentations

Properties of Proportions 7-2. EXAMPLE 4 Use a scale drawing SOLUTION Maps The scale of the map at the right is 1 inch : 26 miles. Find the actual distance.

Advertisements

EXAMPLE 1 Use properties of proportions SOLUTION NP ST MN RS = Because 4 x = 8 10, then In the diagram, NP ST MN RS = Write four true proportions. By the.

CN #3 Ratio and Proportion

Proportions and Ratios

Objectives Write and simplify ratios.

Map Scale Looking at the maps on the screen ask the students which one has the largest scale? This will remind the students of what they have already learnt.

Writing and Solving Proportions. Proportions Proportion is an equation stating that two ratios are equivalent. Proportional are two quantities that form.

Scale Drawings & Scale Models

Lesson Write Ratios and Solve Proportions

“Rational Number Riddles”

Ratio 11/12 My bike’s fuel has a ratio of oil to gas 1 : 25.

7.1 Ratio and Proportion Textbook page 357.

Ratio and Proportion cdcd abab = proportion: two ratios that are equal to each other. cross products of proportions are equal (b)(c) = (a)(d) Review: 2323.

EXAMPLE 1 Use properties of proportions SOLUTION NP ST MN RS = Because 4 x = 8 10, then In the diagram, NP ST MN RS = Write four true proportions. By the.

Scale Drawings and Scale Models

1/29/13. Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation x + 5 x + 6 x =

Do Now 10/11/11 In your notebook, consider the following: In your notebook, consider the following: On a bright sunny day, how can you determine the height.

   Ratios and Proportion Write each fraction in simplest form.

Do Now 2/8/10 Copy HW in your planner. Copy HW in your planner.  Text p.  Text p. 272, #10-36 evens, #44, & #47 Be ready to copy POTW #2 Be ready to.

SOLUTION Write a ratio EXAMPLE 1 VOLLEYBALL A volleyball team plays 14 home matches and 10 away matches. a. Find the ratio of home matches to away matches.

Do Now 3/28/11 Copy HW in your planner. Copy HW in your planner.  Text p.  Text p. 272, #10-36 evens Be ready to copy POTW #1 for the 4 th marking period.

Warm-Up Exercises Solve the equation. 2. (6x + 3) = x =

6.1 – Ratios, Proportions, and the Geometric Mean.

11.1 Ratios and Proportions Solve proportions. Proportion – equates two ratios extreme mean This proportion is read as “a is to b as c is to d.” You must.

RATIOS AND PROPORTIONS

2.6 Write Ratios and Proportions

Chapter Notes: Write Ratios and Proportions Goal: You will find ratios and write and solve proportions.

Algebra I Chapter 2. Section 2-1 Writing Equations Ex1) Translate each sentence into an equation. Pay attention to the words is, is as much as, is the.

Do Now 1/3/12 Copy HW in your planner. Copy HW in your planner.  Text p.152, #6-24 evens, 27, 31, & 32 Be ready to copy POTW #5 Be ready to copy POTW.

Solving Open Sentences Involving Absolute Value

Unit Goals – 1. Solve proportions and simplify ratios. 2. Apply ratios and proportions to solve word problems. 3. Recognize, determine, and apply scale.

Notes Over 11.1 Proportions Vocabulary Proportion - an equation that states that two ratios are equal. Cross Product Property - the product of the extremes.

Using Conversion Factors and Expressing Relationships Dimensional Analysis and Proportionality.

3-9 Proportions Warm-up Problems Simplify

A ratio is a comparison of two numbers such as 4:5. When writing a ratio, always express it in simplest form. A B C D What is the ratio.

4.4 Absolute Value 11/14/12. Absolute Value: The distance of a number from 0 on a number line. Written as l x l Ex. |5| (distance of 5 from 0) = 5 Ex.

6.2 Use Proportions to Solve Geometry Problems Hubarth Geometry.

3.9 Proportions Goal to solve problems involving proportions.

Vocabulary ratio: a comparison of two numbers through division often expressed as a fraction. Proportion: An equation that states that two ratios are equal.

6.2 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Use Proportions to Solve Geometry Problems.

 A comparison of two quantities  Often expressed as a fraction.

Holt Algebra Rates, Ratios, and Proportions Warm Up Solve each equation. Check your answer. 1. 6x = m = y =18.4 Multiply. 6.7.

§ 3.2 Ratio and Proportion. A ratio compares quantities by division. The ratio of a to b can be expressed as a:b or Ratio Blitzer, Introductory Algebra,

CHAPTER 7: SIMILARITY 7.1 Ratio and Proportion. A RATIO is… A comparison of a number “a” and a nonzero number “b” using division Ratios can be written.

3-4 HW: Pg #4-24e, 28-44eoe, 49-50,

Algebra 1 Section 11.1 Solve proportions A ratio is a comparison of two quantities. A proportion is an equation that sets two ratios equal. = Find the.

7.1 OBJ: Use ratios and proportions.

Scale Drawing/Scale Models

7.G.1 Scale Drawings Review

A proportion is an equation that states two ratios are equal

7.1 Ratio and Proportions Pg 356

11/16 Scale Drawings and Scale Factor

Scale and use scale drawings to solve problems.

DO NOW Copy down your homework: 2-9 Lesson Check on page 141

Similar Figures & Scale Drawings

3.8 Solving Equations Involving Absolute Value

Maps and Scale Drawings

Scale Drawings Cornell Notes with Summary

Scale Drawings Sec 5. 2-B pg

SETTING UP and SOLVING RATIOS AND PROPORTIONS

Scale Drawings Cornell Notes with Summary

SETTING UP and SOLVING RATIOS AND PROPORTIONS

Lesson 6 Ratio’s and Proportions

Ch. 2 Vocabulary 12.)Proportion 13.) Cross products (of proportion)

Bellwork A scale model of the Statue of Liberty is 15 inches tall. If the Statue of Liberty is 305 feet tall, find the scale of the model. A map has.

Presentation transcript:

Table of Contents Topic Page # B Many or No Solution33 3.8A Solving Equations35 3.8B Solving Formulas Absolute Value Equations39 3.5/3.6 Ratios and Proportions41

#41 3.5/3.6 Ratios and Proportions

Ratio: Relation between 2 numbers a:b abab a to b

You always have to write ratios in the simplest form. You never write the answer as a mixed fraction

Ex 1: Cell phone A person makes 6 long distance calls and 15 local calls in 1 month. a. Find the ratio of long distance calls to local calls = 2525

Ex 1: Cell phone A person makes 6 long distance calls and 15 local calls in 1 month. b. Find the ratio of local calls to long distance calls 15 6 = 5252

Ex 1: Cell phone A person makes 6 long distance calls and 15 local calls in 1 month. c. Find the ratio of long distance calls to all calls = 2727

Ex 2: Sports A volleyball team plays 14 home matches and 10 away matches. a. Find the ratio of home matches to away matches = 7575

Ex 2: Sports A volleyball team plays 14 home matches and 10 away matches. b. Find the ratio of home matches to all matches = 7 12

Ex 2: Sports A volleyball team plays 14 home matches and 10 away matches. c. Find the ratio of away matches to all matches = 5 12

Proportions: When two ratios are equal (bd) ad = bc

Cross multiply ad = bc

Ex #3: Solve. 6k = 90 6 k = 15

4x4x= 36 4 x = 9 Ex #3: Solve.

1 3 x = 9 Reduce around the box 4x4x= 36 4 x = 9

8t8t = 120 t = t = 15

y =9 y = 9

3(x + 8)= 6x6x 8 = x 3x + 24 = 6x 24 = 3x x = x = x + 8

24(x – 12)= 8x8x 18 = x 24x – 288 = 8x –288 = –16x x = x – 36 = x 2x – 36 = 0 2x = 36

Ex #4: Architect An architect creates a scale model of a school. The school is 50 feet high. The ratio of the model to the actual school is 1 foot to 75 feet. Estimate the height of the model.

23 3h = 2 h =

Ex #5: A map has a scale factor of 1cm : 15km. If the distance of the map is 6cm, find the actual distance. x =

Ex #6: Write the sentence as a proportion and solve. 1 4 x =

Ex #6: Write the sentence as a proportion and solve. 1 4 x = 1 2