Chapter 4 Fractions, Decimals, and Percent. Day….. 1. Converting Measurements 2. Fractions to Decimals 3. Decimals to Fractions 4. Decimals to Percent 5. Percent to Decimals Day 1 Bell Work Write each ratio as a part to part, part to whole, and a whole to part. 1. 18 out of 24 students take a music class in middle school. 2. Out of 12 cats, three have stripes. 3. 7 out of 8 flowers are pink. 4. Kristen sold 475 out of 500 boxes of Girl Scout cookies. 5. 6 out of 30 students get an A in Mrs. E’s class. Justify your Response Vocabulary • Proportion - an equation that shows two ratios are equivalent. • Fraction - a number that represents part of a whole or part of a set. • Decimal- a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006. • Percent - a ratio that compares a number to 100. • Rational Number - a number that can be written as a fraction • Number Line - a line on which numbers are marked at intervals, used to illustrate simple numerical operations. I Can…. Convert measurements using proportional reasoning. Converting Measurements Essential Understanding: To convert measurements from one unit to another, you can use your knowledge of ratios to create a poprpotion. Example: Mrs. E’s desk is 4 ft. long. How many inches is it? 1𝑓𝑡. 4𝑓𝑡. = 12 𝑖𝑛. ? Practice Please take out your maker boards Wrap it Up • Review • Questions • Exit Tickets Day 2 Bell Work Stacey and Ben are planning a road trip from Nashville, TN to Atlanta, GA. Ben uses a ruler to measure the distance on a map. He tells Stacey they will have to travel 24inches. If the map scales shows 1 inch = 10 miles, how many miles will they travel? How many miles will they travel round trip? Justify your response. Homework Check Vocabulary - an equation that’s shows two ratios are equivalent. • Proportion _________ - a number that represents part of a whole or part of a set. • Fraction _______ • Decimal______ a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006. - a ratio that compares a number to 100. • Percent _______ Number - a number that can be written as a fraction • Rational _____________ Line - a line on which numbers are marked at intervals, • Number ___________ used to illustrate simple numerical operations. I Can…. Convert fractions to decimal. Converting Fractions to Decimals Essential Understanding: • To convert a fraction to a decimal you simply divide the numerator by the denominator. Examples: 𝟐 𝟓 = 𝟏 𝟒 = 𝟏 𝟐 = 𝟕 𝟖 = Practice Please take out your maker boards Wrap it Up • Review • Questions • Exit Tickets Day 3 Bell Work Convert each fraction to a decimal. 𝟏 = 𝟐 𝟑 𝟒 𝟏𝟗 𝟏 𝟑𝟒 𝟐𝟐 𝟖𝟖 = = = 5 𝟏 𝟑 𝟏 𝟏𝟎 = = 𝟐 𝟓 𝟔 𝟗 = 𝟕 𝟖 = 𝟏𝟐𝟓 𝟐𝟕𝟓 = = Homework Check Vocabulary - an equation that’s shows two ratios are equivalent. • Proportion _________ - a number that represents part of a whole or part of a set. • Fraction _______ • Decimal______ a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006. - a ratio that compares a number to 100. • Percent _______ Number - a number that can be written as a fraction • Rational _____________ Line - a line on which numbers are marked at intervals, • Number ___________ used to illustrate simple numerical operations. I Can…. Convert decimals to fractions. Convert Decimals to Fractions Essential Understanding: To convert a decimal to a fraction you simply identify the place value of the last decimal place and use it as the denominator of the fraction. Simplify when possible. Examples: .1 .25 .375 .4213 Your Turn…. • Clear your desk of everything but a pencil and a calculator. Wrap it Up • Review • Questions • Exit Tickets Day 4 Bell Work Convert each decimal to a fraction. .2 = .33 = .236 = .8764 = .01 = .5 = .0023 = .64 = .15 = .45 = 3.75 = 1.5 = Homework Check Vocabulary - an equation that’s shows two ratios are equivalent. • Proportion _________ - a number that represents part of a whole or part of a set. • Fraction _______ • Decimal______ a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006. - a ratio that compares a number to 100. • Percent _______ Number - a number that can be written as a fraction • Rational _____________ Line - a line on which numbers are marked at intervals, • Number ___________ used to illustrate simple numerical operations. I Can…. Convert decimals to percent. Converting Decimals to Percent. Essential Understanding: • To convert a decimal to a percent, you simply multiply the decimal by 100 and add ass a percent sign (%). • The easiest way to do this, is to use your knowledge of Powers of 10 (move the decimal to the right two places) Examples: .25 = .1 = .375 = 1 2 = = Practice Please take out your maker boards Wrap it Up • Review • Questions • Exit Tickets Day 5 Bell Work Convert each decimal to a percent. .05 = .1 = .25 = .01 = 2.25= .82 = .12 = .064 = .333 = .6 = .9 = .0001 = Homework Check Vocabulary - an equation that’s shows two ratios are equivalent. • Proportion _________ - a number that represents part of a whole or part of a set. • Fraction _______ • Decimal______ a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006. - a ratio that compares a number to 100. • Percent _______ Number - a number that can be written as a fraction • Rational _____________ Line - a line on which numbers are marked at intervals, • Number ___________ used to illustrate simple numerical operations. I Can…. Convert percent to decimals. Converting Decimals to Percent. Essential Understanding: • To convert a percent to a decimal, you simply divide by 100 and remove the percent sign (%). • The easiest way to do this, is to use you knowledge of Powers of 10 (move the decimal to the left two places) Examples: 5% = 25% = 46% = 50% = = Your Turn…. • Clear your desk of everything but a pencil and a calculator. pOp Quiz • Take out a pencil and a calculator • Clear everything else from your desk Wrap it Up • Classroom Store • Exit Tickets Computer Station • http://learnzillion.com/lessons/842-define-unitrate-using-double-number-line • http://learnzillion.com/lessons/613-solve-rateproblems-using-double-number-lines • http://learnzillion.com/lessons/612-solve-formissing-values-in-rate-problems-using-a-table (6 minutes per video) Station Rotations 1. Write your exit ticket. 2. Pack up everything but a pencil. 3. You will have 15 minutes to complete each rotation 1st Rotation 2nd Rotation 3rd Rotation 4th Rotation