Multiply. Write in simplest form

Slides:

Advertisements

Similar presentations

2-9 Equivalent Fractions and Mixed Numbers Warm Up Problem of the Day

Advertisements

Welcome to Interactive Chalkboard Mathematics: Application and Concepts, Course 2 Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc.

WARM UP 8/28 Change these mixed numbers to improper fractions.

5 Minute Check Complete in your notebook x x 5

NS1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number.

5-5 Multiplying Mixed Numbers Learn to multiply mixed numbers.

Course Dividing Rational Numbers Warm Up Multiply – – –15 – (2.8) 4. –0.9(16.1) –14.49.

COURSE 2 LESSON Find Multiply the numerators. Multiply the denominators = Check for Reasonableness The answer,, is.

Dividing Fractions and Mixed Numbers

4. Check that the answer is reduced: The numerator and denominator should not have any common factors besides 1. When the GCF of the numerator and denominator.

Course 2, Lesson 2-8 Find the sale price to the nearest cent. 1. $120 jacket; 30% discount 2. $10,500 car; 10% discount 3. $35 sweater; 18% discount; 3%

Course 2, Lesson 1-1 Find the mean, median, and mode for each data set. Round to the nearest tenth if necessary. 1. number of cars in household: 1, 3,

Course 2, Lesson 1-2 Find each unit rate. Round to the nearest hundredth if necessary. 1. $3.99 for 16 ounces miles in 14 hours 3. $28 for 15 goldfish.

Course 2, Lesson 2-5 Use the determine reasonable answers strategy to solve Exercises 1–4. 1. If the speed limit is 65 miles per hour, what is a reasonable.

Write an integer for each situation. 1. stock market down 56 points

Course 2, Lesson 2-3 Estimate % of % of % of % of Twenty-two percent of the seventh-grade class at Santa Ana Middle.

1. $100 dinner; 20% gratuity 2. $12,300 car; 5% sales tax

Course 2, Lesson 2-6 Find each percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase or.

3. What is the constant of variation of the linear function. Pay $15

Course 2, Lesson 1-3 Simplify On her last science test, Maria answered of the questions incorrectly. Write as a fraction in simplest form.

Solve each inequality. Graph the solution set on a number line.

Lesson Menu Main Idea Key Concept:Divide by Fractions Example 1:Divide by Fractions Example 2:Divide by Mixed Numbers Example 3:Real-World Example.

Course 2, Lesson 4-6 Use the draw a diagram strategy to solve Exercises The Rockwells have driven 180 miles, which is about of the way to their.

Course 2, Lesson 4-2 Write each fraction or mixed number as a decimal. Use bar notation if the decimal is a repeating decimal Write each decimal.

Course 2, Lesson 7-5 Find the length of each object on a scale drawing with the given scale. Then find the scale factor. 1. a subway car 34 feet long;

Find the area of each circle. Round to the nearest tenth. Use 3

HOW are percent diagrams used to solve real-world problems?

EXAMPLE 3 Dividing Mixed Numbers –2 = – = – = 19 3 (– 6) 17 – 2 1 Multiply. Divide out common factor. 38 = 17 –, or 4 17.

Solve by using a graph. 1. A carpet cleaner charges $25 per room cleaned. Predict the cost of having 5 rooms cleaned. 2. The table shows the number of.

Identify each solid. Name the number and shapes of the faces. Then name the number of edges and vertices Course 2, Lesson 8-1.

HOW is compound interest different from simple interest? Ratios and Proportional Relationships Course 2, Inquiry Lab after Lesson 2-8.

5. Thirteen percent of the profits from Kendall’s business are

Find the surface area of each rectangular prism. Round to the nearest tenth if necessary Find the surface area of a rectangular prism that has.

Find the radius or diameter of each circle with the given dimensions. 1. d = 6 cm 2. r = 11 ft Find the circumference of each circle. Use 3.14 for π. Round.

Course Dividing Fractions and Mixed Numbers Learn to divide fractions and mixed numbers.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Solve each inequality. Check your solution. 1. –3x ≥ k > 300 Solve each inequality. Graph the solution set on a number line. 4. 4p + 3 ≤ –1 5.

HOW is percent used to solve real-world problems? Ratios and Proportional Relationships Course 2, Inquiry Lab before Lesson 2-3.

Course 2, Lesson 7-4 Use the make a model strategy to solve Exercises 1 and 2. A 15-inch by 20-inch piece of poster board has a 3.5-inch square cut out.

Course 2, Lesson 2-2 Find each number. Round to the nearest tenth if necessary % of % of % of % of $ % of

Course 2, Lesson 1-7 Solve each proportion Solve. Assume all situations are proportional. 3. For every 4 students, 3 like peanut butter and jelly.

Solve each inequality. Graph the solution set on a number line. 1. 3a + 3 < y + 2 > –22 3. –5m – 5 ≤ Ann has only $10 to spend on carnival.

Use with Lesson X Standard X.XX.X Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of.

Use with Lesson X Standard X.XX.X Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of.

Compare and order integers Find the absolute value of an expression Lesson 2-1 Rational Numbers and Exponents.

Multiplying Fractions and Mixed Numbers

Evaluate each expression if a = 3, b = 7, and c =

How can you use numbers and symbols to represent mathematical ideas?

Use the guess, check, and revise strategy to solve each exercise.

Simplifying Fractions

Write each decimal as a fraction or mixed number in simplest form.

Mixed numbers and simplifying fractions

Find the value of x in each triangle

Use the four-step plan to solve each problem.

Lesson 1.3 Variables and Expressions (Glencoe book)

Warm Up Problem There are 300 students in the middle school. 23% brought fruit as a snack. Find the number of students who brought fruit.

Warm Up Multiply. –2 1. –3 2. –15 – (2.8) 0.14

Evaluate each expression. Round to the nearest tenth if necessary.

Find the reciprocal of each number

IWBAT divide fractions and decimals.

Multiplying and Dividing Rational Numbers

Bellwork: 2/12/18 (Block 3) Use the look for a pattern strategy to solve Exercises 1–3. 1. In a stadium, there are 10 seats in the 1st row, 13 seats in.

2. Jack practiced dribbling a soccer ball for of his total

Estimate each product. Use a bar diagram if needed

Multiply. Write in simplest form

Multiply. Write in simplest form

Solve each inequality. Graph the solution set on a number line.

Fluency- Integers Course X, Lesson X-X.

Multiplying and Dividing Rational Numbers

Solve each inequality. Check your solution. 1. –3x ≥ 9 2.

Presentation transcript:

Multiply. Write in simplest form. 1. 2. 3. 4. 5. Half the students in an elementary school live less than 2 miles from the building. Of these, ride the bus to school. What fraction of students live less than 2 miles from the building and ride the bus to school? Course 1, Lesson 4-3

ANSWERS 1. 2. 3. 4. 5. Course 1, Lesson 4-3

multiply and divide fractions? The Number System WHAT does it mean to multiply and divide fractions? Course 1, Lesson 4-3

Mathematical Practices The Number System Preparation for 6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. Mathematical Practices 1 Make sense of problems and persevere in solving them. 3 Construct viable arguments and critique the reasoning of others. 4 Model with mathematics. 5 Use appropriate tools strategically. Course 1, Lesson 4-3 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

To multiply fraction and a mixed number To multiply mixed numbers The Number System To multiply fraction and a mixed number To multiply mixed numbers Course 1, Lesson 4-3

Use compatible numbers. × 2 = 1 Step-by-Step Example 1. 1 Estimate Use compatible numbers. × 2 = 1 Write as . 2 Multiply. 3 Simplify. Compare to the estimate. 4 Need Another Example?

Need Another Example? Answer

Check for Reasonableness Step-by-Step Example 2. 1 Estimate 6 2 1 3 11 Write as an improper fraction. 2 2 11 × 1 Multiply. 3 2 × 3 11 5 Simplify. 4 6 6 5 Check for Reasonableness Need Another Example?

Need Another Example? Answer

3. Need Another Example? Write as . Write as . 5 5 Step-by-Step Example 3. 1 Write as . Write as . 5 5 Divide 15 and 3 by their GCF, 3. 2 Then divide 10 and 8 by their GCF, 2. 4 1 Multiply the numerators and multiply the denominators. 3 4 Simplify. Need Another Example?

Need Another Example? Answer

There are 12 million cubic yards of concrete in the Grand Coulee Dam. Step-by-Step Example 4. The Hoover Dam contains 4 million cubic yards of concrete. The Grand Coulee Dam, in Washington state, contains 2 times as much concrete. How much concrete does it contain? Estimate 4 × 3 = 12 1 Write the mixed numbers as improper fractions. 2 3 4 Divide 9 and 3 by their GCF, 3. 3 Then divide 8 and 2 by their GCF, 2. 1 1 Multiply the numerators and multiply the denominators. 4 Simplify. 5 6 There are 12 million cubic yards of concrete in the Grand Coulee Dam. Check for Reasonableness 12 = 12 7 Need Another Example?

Need Another Example? Adriana is making banana bread for a class bake sale. The recipe calls for 1 cups of brown sugar. She is making 5 times the recipe. How much brown sugar does Adriana need? Answer

Check for Reasonableness 14 ≈ 16 Step-by-Step Example 5. Mr. Conrad’s pecan pie recipe calls for 1 cups of pecans. He plans to make 8 pies for his family reunion. How many cups of pecans will Mr. Conrad need? 1 Estimate 2 × 8 = 16 Write the mixed number as an improper fraction. Write the whole number as a fraction with a denominator of 1. 2 2 Divide 8 and 4 by their GCF, 4. 3 1 Multiply the numerators and multiply the denominators. 4 Simplify. 5 6 Check for Reasonableness 14 ≈ 16 Mr. Conrad will need 14 cups of pecans. 7 Need Another Example?

A recipe for chocolate chip cookies calls for 1 Need Another Example? A recipe for chocolate chip cookies calls for 1 cups of flour. Megan needs to make 6 batches of cookies for a cookie exchange. How many cups of flour will she need? Answer

How did what you learned today help you answer the The Number System How did what you learned today help you answer the WHAT does it mean to multiply and divide fractions? Course 1, Lesson 4-4

How did what you learned today help you answer the The Number System How did what you learned today help you answer the WHAT does it mean to multiply and divide fractions? Sample answer: To find the portion of more than one set To find more than one portion of more than one set Course 1, Lesson 4-4

The Number System Ratios and Proportional Relationships Compare multiplying mixed numbers to multiplying fractions. Then write about how the previous lesson helped you to understand the concepts introduced in this lesson. Course 1, Lesson 4-4