Ratios Unit 1 Lesson 1 Math 6.

Slides:

Advertisements

Similar presentations

In our lesson today we will learn how to find the area of a building.

Advertisements

11-2 Rational Expressions

PRIME AND COMPOSITE NUMBERS

Lesson 4-3. Math Vocabulary GCF (Greatest Common Factor): The highest number that can divide INTO two or more given numbers.

The Basic of Algebra BY Nathaniel Jefferson. The Number Line  |  0 Always start at zero.

Welcome to Math 6 +- x Review of Lessons The Connector… Let’s review each of the skills we learned since Lesson 12 and go over the key points again.

Aug. 12, 2013 Sixth Grade Math. The sum of two addends multiplied by a number equals the sum of the product of each addend and that number 4(3 + 7) =

Integer Numbers. An integer number is a whole number (not a fraction) that can be positive, negative or zero. Positive integers are all the whole numbers.

Proportionality: Ratios and Rates

We use ratios to make comparisons between two things. When we express ratios in words, we use the word "to" – we say "the ratio of something to something.

Vocabulary  Rational Expression – a ratio of 2 polynomial expressions.  Operations with rational numbers and rational expressions are similar.  Just.

Lesson 2.6: Perimeters and Areas of similar Figures Essential Question: How do changes in side length of similar figures affect the perimeters and areas.

Factoring polynomials with a common monomial factor (using GCF). **Always look for a GCF before using any other factoring method. Factoring Method #1.

Factoring Using the Distributive Property Chapter 9.2.

Division of Fractions In this lesson we will be looking at the concept of division of fractions. This will include the division of complex fractions, improper.

Using Proportions Lesson 4-1. Ratio: The comparison of two numbers (written in Algebra as a fraction) Proportion: When two ratios are equal to each other.

Percentages Lesson After completing this lesson, you will be able to say: I can define a percentage as a ratio of a number to 100. I can calculate.

Factoring Polynomials

FACTORS Lesson 6. Math Vocabulary Factors: All the smaller numbers that go INTO a given number GCF: Greatest Common Factor (GCF) The biggest small number.

Lesson 1 Multiples and Factors At times you will be asked to determine the factors or multiples of various numbers in math problems in school and on the.

Lesson 2-5. Refresher Simplify the following expressions

Defining Success Lesson 14-Finding the Greatest Common Factor Problem Solved!

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

Lesson 8.2 Notes Quotient of Powers- to divide two powers that have the same base, subtract the exponents – Ex: Power of a Quotient- to find the power.

January 23, 2012 Warm-Up GCF Word Problem Simplifying Fractions Exit Ticket.

Finding GCF (Greatest Common Factor)

Multiplying Fractions and Mixed Numbers

11-2 Rational Expressions

Students will be able to simplify fractions and ratios (5-4).

8.1 Multiplying and Dividing Rational Expressions

7.1/7.2 – Rational Expressions: Simplifying, Multiplying, and Dividing

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

1. Write each rational number in lowest term (similar to p.48 #45-51)

Ratios and Proportions

Division 5 Vocabulary.

Fraction Review.

Reviewing 6th Grade Mathematics

Multiplying and Dividing Rational Expressions

Ratios, Rates and Percents

Multiplying and Dividing Integers Unit 1 Lesson 11

Name: _______________________________

Equivalent ratios.

Using Proportions to solve Problems

Lesson #7 LCM and GCF.

Day 99 – Trigonometry of right triangle 2

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

Math Journal Notes Unit 1 Part 2.

7.4 Solving factored polynomials

Comparing Fractions Name: ______________________________

Lesson Objective: I will be able to …

Proportions Determine if the ratios can form a proportion. ,

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

7-1 Ratios and Proportions

Multiplying and Dividing Rational Expressions

Multiply by a ONE IN DISGUISE!

Warm Up Problem A class has 6 boys and 15 girls. What is the ratio of boys to girls? Explain the meaning of the ratio.

Exercise Use long division to find the quotient. 180 ÷ 15.

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

A rational expression is a quotient of two polynomials

Ratio, Proportion, and Percent

I CAN write equivalent fractions

Number Sense & Ratios Review

What is a Ratio?.

Lesson 2 Compare and Order Rational Numbers

GCF - Greatest Common Factor

Chapter 3 Percents Copyright © 2020 by Mosby, an imprint of Elsevier Inc. All rights reserved.

Unit Rate Unit 1 Lesson 2 Math 6.

Presentation transcript:

Ratios Unit 1 Lesson 1 Math 6

Students will be able to: Ratios Students will be able to: Determine the comparison between or relationship of two things using ratio. Solve word problems involving ratio.

Key Vocabulary: Ratio Equal Ratios Reduced Ratio Fraction GCF

There is 1 ice cream cone to 3 cookies. Ratios Ratio is a comparison between, or a relationship of two things. Example: There is 1 ice cream cone to 3 cookies.

Ratios Example: There are 4 boys to 2 girls.

There is 1 ice cream cone to 3 cookies. Ratios Ratios can be shown in different ways! There is 1 ice cream cone to 3 cookies.

The ratio of 3 blue rectangles to 1 yellow rectangle. Ratios Sample Problem 1: Write in three different ways the ratio of the given figure. The ratio of 3 blue rectangles to 1 yellow rectangle.

Answer the following questions given the picture below. Ratios Sample Problem 2: Answer the following questions given the picture below. What is the ratio of apples to bananas? Solution: 5 : 2 What is the ratio of bananas to apples? Solution: 2 : 5

Ratios Equal Ratios To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero).

Ratios Equal Ratios

Ratios Equal Ratios or

How do we know that the RATIOS are EQUAL? Example: Are the ratios 4 : 1 and 12 : 3 equal? Step 1: Find the quotient of the numbers in the ratio. 4 ÷ 1 = 4 12 ÷ 3 = 4 Step 2: If the quotients are the SAME, then ratios are EQUAL! 4:1 = 12:3

Are the ratios 3:4 and 12:16 EQUAL or NOT? Solution: 3 ÷ 4 = 0.75 Sample Problem 3: Are the ratios 3:4 and 12:16 EQUAL or NOT? Solution: 3 ÷ 4 = 0.75 12 ÷ 16 = 0.75 Therefore, 3:4 = 12:16

Example: Reduce 12:16 in lowest terms. Ratios Reducing Ratios Reducing ratios is similar to reducing a fraction in lowest terms since ratios can be expressed as fractions. Example: Reduce 12:16 in lowest terms. Step 1: Find the GCF of the numbers in the ratio. GCF is 4

Step 2: Divide the numbers in the ratio by the GCF. 12 4 : 16 4 3 : 4 Ratios Reducing Ratios Step 2: Divide the numbers in the ratio by the GCF. 12 4 : 16 4 3 : 4 IMPORTANT: Ratios are in lowest terms if and only if, the Greatest Common Factor left is 1.

Ratios

Ratios

Ratios