Geometry with Cosby Missy Cosby Okemos High School Math Instructor.

Slides:

Advertisements

Similar presentations

Review Chapter 4.

Advertisements

9.1 Ratios and Proportions. You will learn to use ratios and proportions to solve problems. 1) ratio 2) proportion 3) cross products 4) extremes 5) means.

CN #3 Ratio and Proportion

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 2 Using the Cross Products Property = 40.8 m Write original proportion. Cross products property Multiply. 6.8m 6.8 = Divide.

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.

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

Geometry with Cosby Missy Cosby Okemos High School Math Instructor.

Algebra I Vocabulary Chapter 2. Equations that have the same solution(s) are called.

7-1 Ratio and Proportion Warm Up Lesson Presentation Lesson Quiz

Objectives Write and simplify ratios.

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.

Week 11 Similar figures, Solutions, Solve, Square root, Sum, Term.

Ratios, Proportions, and Similar Triangles. Ratios Ratios are like fractions The ratio 1:4 means 1 part to 4 parts and is equivalent to the fraction (part:part)

Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators.

Ratio, Rate, Proportion, and Percent. Ratio  Comparison of two numbers by division  Can be written three different ways 4 to 9 4 :

Warm-Up Solve each equation for x. 1) 3x = 5 2) 2x – 1 = 10 3) 5x + 3x = 14.

Proportions Mrs. Hilton’s Class. Proportions What are proportions? - If two ratios are equal, they form a proportion. Proportions can be used in geometry.

4.1 Ratio and Proportion Ratio – comparison of two numbers by division. –Can be written: a to b a : b where b ≠ 0. If a and b represent quantities measured.

Solve the following proportions. a = 9 b = 7 c = 6 d = 6.

6.1.1 RATIOS, PROPORTIONS, AND THE GEOMETRIC MEAN Chapter 6: Similarity.

Rates, Ratios, Proportions & Unit Rate By Colin C.

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

Step 1: Graph the points. You can extend the graph if needed.

7-3 Solving Proportions (p ) Indicator  m4.

Inequalities Symbols and line graphs. Symbols  < is less than  > is greater than  < is less than or equal to  > is greater than or equal to points.

Solve the following proportions. a = 9 b = 7 c = 6 d = ±6.

Practice 2.2 Solving Two Step Equations.

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.

Lesson 1-8 Solving Addition and Subtraction Equations.

Cross Products and Proportions

7-1 Ratios and Proportions I CAN Write a ratio Write a ratio expressing the slope of a line. Solve a linear proportion Solve a quadratic proportion Use.

  A ratio is a way to compare two quantities that are measured in the same units by using division  45 : 100 Ratio.

7-1 Ratios and Proportions Class Notes and Examples.

 Students will be able to write and solve ratios  Students will be able to write and solve proportions.

Math Pacing Ratios and Proportions Solve each equation

Solving Equations By Adding or Subtracting. Key Terms Inverse Operations: –You can use inverse operations to solve equations. –“Undo” each other by performing.

Ratio and Proportion Day 8. Day 8 Math Review Math Review Quiz Day.

Introduction to Ratio, Proportion, and Similarity.

Solving equations with variable on both sides Part 1.

Holt Geometry 7-1 Ratio and Proportion Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve.

Holt Geometry 7-1 Ratio and Proportion 7-1 Ratio and Proportion Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson.

CHAPTER 7.1 RATIO AND PROPORTION. RATIO A ratio compares two numbers by division. The ratio of two numbers a and b can be written as a to b; a:b; or a/b,

Section 3.8 Ratios & Rates Made Easy Mr. Beltz & Mr. Sparks.

A proportion is an equation that states two ratios are equal

Warm Up(On a Separate Sheet)

2 Understanding Variables and Solving Equations.

Lesson 5.2 Proportions Students will be able use cross multiply to determine if the two ratios are equivalent.

LEARNING GOALS – LESSON 7:1 EXAMPLE 1A: WRITING RATIOS

Solving Equations by Factoring and Problem Solving

Fractional Equations Chapter 7 Section 7.4.

Lesson 6.1 How do you find ratios and unit rates?

Do Now 1) t + 3 = – 2 2) 18 – 4v = 42.

2 Understanding Variables and Solving Equations.

2 Understanding Variables and Solving Equations.

7-1 Ratios and Proportions

By, Mrs. Muller Proportions.

Solving Equations with Variables on Both Sides

Solving Equations with Variables on Both Sides

Ratios, Proportions and Similarity

7.1 Ratio and Proportion.

Lesson 6 Ratio’s and Proportions

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

11-5 Solving Rational Equations

Using Cross Products Chapter 3.

Rates, Ratios and Proportions

Unit 4: Similarity Honors Geometry.

Presentation transcript:

Geometry with Cosby Missy Cosby Okemos High School Math Instructor

I CAN: Find and write slope as a ratio. Use the ratios of sides and/or angles of figures to solve problems. Solve proportions using cross products. Set up proportions and use them to solve application problems.

What is a ratio? A ratio is a comparison of two numbers by division. It can be written in a few different ways.

Ratios in action… Slope is a ratio! I CAN: Find and write slope as a ratio.

Example I CAN: Use the ratios of sides and/or angles of figures to solve problems.

What is a proportion? A proportion is an equation stating that two ratios are equal.

Example Solve the proportion for the variable. Be sure to check your solutions. I CAN: Solve proportions using cross products.

Example I CAN: Solve proportions using cross products.

Example I CAN: Set up proportions and use them to solve application problems.