Catalyst Thursday, October 6, 2011 Of the 75 teachers at a school, 15 teach mathematics. What percent of the teachers at the school teach mathematics?

Slides:

Advertisements

Similar presentations

Application of Proportions

Advertisements

RATIOS, RATES AND PROPORTIONS Ratios: -A comparison of two quantities measured in the same units. {i.e. wins: losses (unit – games), apples: oranges (unit.

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.

Ch. 7 Learning Goal: Ratios & Proportions

Chapter 5 Ratios, Rates, Proportions

2.5 Solving Proportions Write and use ratios, rates, and unit rates. Write and solve proportions.

+ Cross Multiplication Objective: We will learn to use cross multiplication to solve a proportion. We will use cross multiplication to check whether two.

How do I solve a proportion?

Math For Life Situations Vicki Angel Manuel A. Navarro.

estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement.

Ratios and Proportions

November 17, 2011 You will need: – Whiteboard/eraser/marker – Math book – Notebook – Calculator Bell Ringer: A number cube is rolled once. Find each probability.

Preview Warm Up California Standards Lesson Presentation.

Asteroids The total mass of all the asteroids is less than that of the Moon. rocky objects with round or irregular shapes lie in a belt between Mars and.

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.

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

Chapter 8 Lesson 1 Objective: To write ratios and solve proportions.

Scale Drawings & Proportions

Objectives: To solve proportions and write ratios.

© William James Calhoun, : Ratios and Proportions OBJECTIVE: You need to be able to solve proportions using cross-multiplication. Initial terms:

PERCENT PROPORTIONS Using Proportions 4-1. Vocabulary Review Ratio: The comparison of two numbers (written in Algebra as a fraction) Proportion: When.

5-1 Objective: Solving proportions.

Objective Students will solve proportions Chapter 8, lesson 2 (8-2).

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

RATIOS & PROPORTIONS A ratio is a comparison of two numbers by division. To write ratios, use the word to, a colon, or a fraction bar. EXAMPLE #1: John.

Proportional Reasoning Section 2.3. Objectives:  To solve problems using proportional reasoning.  Use more than one method to solve proportional reasoning.

I can use proportions to solve problems involving scale.

RATIOS and PROPORTIONS REVIEW By: Teachers who care!

Rates, Ratios, and Proportions

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

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

Computing Actual Lengths From a Scale Drawing Learning Target I can compute actual lengths in a picture using the scale.

What is a ratio, rate, and unit rate?

5-7 Scale Drawings and Scale Models MG1.2 Read drawings and models made to scale. California Standards.

Similar Figures and Scale Drawings

2.8 – Proportions & Similar Figures “I can solve proportions using scale factors.” “I can find missing side lengths of similar figures.”

7.1 Ratios and Proportions. Ratios Ratio: A comparison of two quantities by division. 1) The ratio of a to b 2) a : b Ratios can be written in three ways…

Algebra 1 Chapter 2 Section : Solving Proportions A ratio is a comparison of two quantities. The ratio of a to b can be written a:b or a/b, where.

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

Ratios and Proportions Notes. Ratios A ratio compares two numbers or two quantities. The two numbers being compared are called terms. A ratio can be written.

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

Ratios, Proportions and Similar Figures Ratios, proportions and scale drawings.

RATIOS and PROPORTIONS Objectives: Set up Proportions Solve Proportions.

Ratios, Proportions and Similar Figures

Finding Proportions using Cross Multiplication

Objective Today you will learn how to change a fraction to a decimal and a percent!

Understanding Ratio, Proportion, and Percent

Using Proportions – Less 6.6

Scale and use scale drawings to solve problems.

8.1 – 8.3 Solving Proportions, Geometric Mean, Scale Factor of Perimeter and Area Since these sections are all very short, we are combining them into one.

Ratios, Proportions and Similar Figures

Rates, Ratios, and Proportions

Use Proportions to Solve Geometry Problems

6.2 Proportions.

A percent, a whole, and a part

3.6 Cross Products.

Objective: Understand what proportions are, setting the up and solving

Ratios, Proportions and Similar Figures

Rates, Ratios and Proportions

Rates, Ratios, and Proportions

Scale factors and similarity

Ratios, Proportions and Similar Figures

Lesson 6 Ratio’s and Proportions

Finding Proportions using Cross Multiplication

5-1 Objective: Solving proportions.

Ratios, Proportions and Similar Figures

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.

Hook How could you calculate the measurements for a scale model of the Parthenon? Coach’s Commentary I chose this example because most students have had.

Rates, Ratios and Proportions

Presentation transcript:

Catalyst Thursday, October 6, 2011 Of the 75 teachers at a school, 15 teach mathematics. What percent of the teachers at the school teach mathematics? A. 2% B. 5% C. 15% D. 20%

RATIOS and PROPORTIONS REVIEW By: Teachers who care!

RATIOS & PROPORTIONS A ratio is a comparison of two numbers by division. To write ratios, use the word to, a colon, or a fraction bar. EXAMPLE #1: John read 3 books in 4 days. Write the ratio of books to days. Words: 3 to 4Colon: 3:4 Fraction: 3/4

RATIOS & PROPORTIONS A proportion is a statement that two ratios are equal. EXAMPLE#2: Is a proportion? Find the cross products. 30 = 30 TRUE If TRUE, the statement is a proportion.

RATIOS & PROPORTIONS EXAMPLE#3: Is a proportion? Find the cross products. 20 = 21 FALSE If FALSE, the statement is NOT a proportion.

RATIOS & PROPORTIONS EXAMPLE#4: Solve the proportion: Find the cross products. 10 Divide both sides by 10.

RATIOS & PROPORTIONS There are 5 boys and 6 girls in Grant School. 1. What is the ratio of girls to boys using a fraction? 2. What is the ratio of girls to children in Grant School (use a colon)? 6:11 3. What is the ratio of boys to children in Grant School (use words)? 5 to 11

RATIOS & PROPORTIONS Are the following proportions? FALSE – Not a proportion TRUE – this is a proportion

RATIOS & PROPORTIONS Find the missing numbers to make the following proportions. 9 10

SCALE DRAWINGS A scale drawing is a drawing of an object with dimensions proportional to those of the actual object. To find lengths from scale drawings, set up and solve proportions.

SCALE DRAWINGS USING PROPORTIONS EXAMPLE#1: ¼ in = 5 ft is a scale for a rock band’s concert stage. A. The scale length of the drum stand is 1 in. What is the actual length of the drum stand? Cross multiply..25 Divide by.25

SCALE DRAWINGS USING PROPORTIONS EXAMPLE#2: ¼ in = 5 ft is a scale for a rock band’s concert stage. B. The actual length of the stage is 60 ft. What is the scale length of the stage? Cross multiply. 5 5 Divide by 5

SCALE DRAWINGS USING PROPORTIONS Given a scale of ½ in = 4 ft, find the actual length for each scale length given..5.5

Your Turn to Show What You Know Yes, you will use the calculator; to show your work, you will set the problem up to show me you know what to do Pages , , and * Only answer the multiple choice questions!!!