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Chapter 4 Fractions, Decimals, and Percent. Day….. 1. Comparing and Ordering Rational Numbers 2. Number lines 3. Number Lines Continued….. 4. Percent of a Whole 5. Percent of a Whole Continued…. Day 1 Bell Work Order from least to greatest. 1. 0.43, 37%, 2. 1 , 2 3. 4. 9 , 7 0.82, 66%, 73%, 3 , 8 4 , 5 0.723 12.5%, 0.08 0.19, 0.191, 911%, 9.1%, 1 9 , 9 1 0.15, 1.7%, 0.152, 18%, 1.9%, 1 5 Vocabulary • Proportion - an equation that’s 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. • Inequality - An algebraic relation showing that a quantity is greater than or less than another quantity I Can…. I can compare and order rational numbers Compare and Order Rational Numbers Essential Understanding: It is easy to compare and order rational numbers (i.e. fractions, decimals, and percent). • Begin by expressing all the given numbers in the same form. Decimal form is the quickest, but you can use fraction or percent, as well. Example: • Next, use your knowledge of place value or common denominators to compare or list the numbers in the order they are asked (typically from least to greatest). Example: Practice Please take out your maker boards Wrap it Up • Review • Questions • Exit Tickets Day 2 Bell Work You will be given 10 minutes to complete the provided Quick Quiz Homework Check Vocabulary • Proportion - an equation that’s 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. • Inequality - An algebraic relation showing that a quantity is greater than or less than another quantity I Can…. Create and identify intervals on a number line. Number Lines Essential Understanding: • Number lines can be drawn horizontally to display numbers in order from least to greatest (left to right). Ex. • Number lines can also be drawn vertically to display numbers from greatest to least (top to bottom). Ex. • Number lines can be drawn to represent any number set (beginning and ending with any number). Ex. • Number lines drawn to illustrate both positive and negative numbers, are created by placing a zero in the middle and continuing to number in each direction from there. Ex. • Each tick mark represents a fraction of the number line. You can count these marks to determine the interval. Ex. Group Work 1. Complete you exit ticket. 2. Pack up everything except a pencil and calculator 3. Await further instructions You have 3 minutes…. Wrap it Up • Review • Questions • Exit Tickets Day 3 Bell Work You will be given 10 minutes to complete the provided Quick Quiz Homework Check Vocabulary • Proportion - an equation that’s 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. • Inequality - An algebraic relation showing that a quantity is greater than or less than another quantity I Can…. Locate and place positive rational numbers on a number line. Rational Numbers on a Number Line Essential Understanding: • To determine the value of a plotted point, you first identify the value of each tick mark. This is done by counting the tick marks between two whole numbers. Begin counting with the first tick mark after a whole number and continue counting until you reach the next whole number (include the second whole number in your counting). • Example • The number of tick marks counted represent the fraction the number line has been divided into. Example: • You can use this knowledge to label each tick mark as a fraction, decimal, or percent and locate or identify given points. Example: Day 4 Bell Work 1. Convert each number to all 3 forms (fractions, decimals, and percent). 2. Then, create a number line to illustrate their positions and relationships to one another. 3. Create 2 inequalities using the number line you have created. Numbers: 25%, 𝟏 , 𝟑 0.6, 98%, 0.5, 𝟑 𝟒 Homework Check Vocabulary • Proportion - an equation that’s 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. • Inequality - An algebraic relation showing that a quantity is greater than or less than another quantity I Can…. I can find the percent of a number. Finding the Percent of a Number Essential Understanding: To find the percent of a number, write the percent as a decimal, then multiply the decimal and given number. Remember “of” is sometimes a clue word for multiplication. Examples: 1. What is 40% of 60? 2. Find 25% of 120. 3. Determine 33% of $690. Your Turn…. • Clear your desk of everything but a pencil and a calculator. Wrap it Up • Review • Questions • Exit Tickets Day 5 Bell Work Complete the provided page. Homework Check Vocabulary • Proportion - an equation that’s 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. • Inequality - An algebraic relation showing that a quantity is greater than or less than another quantity I Can…. solve problems involving finding the whole given a part and the percent Finding the whole given the part and percent. Essential Understanding: To find the whole, when given the part and percent, you simply change the percent to a decimal and divide the "part" by the percent. Examples: 10 is 20% of what number? 300 is 75% of what number? 60 is 80% of what number? Practice Please take out your maker boards Wrap it Up • Review • Questions • Exit Tickets 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