Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Chapter 3 Rational Numbers Math 7 Bellringer Wednesday 9/19/12 What fraction of a dollar is ten cents? What fraction of a dollar is 25 cents? What fraction of a dollar is 50 cents? What fraction of a dollar is 75 cents? If you are given an amount of money in cents, how can you find the fraction of a dollar it represents in simplest form? Terminating and Repeating Decimals 3.1B Terminating Decimals-is a decimal with digits that end Repeating Decimals-have a pattern in their digits that repeat forever. You can use bar notation to indicate that a number pattern repeats indefinitely. Any fraction can be written as a decimal by dividing its numerator by its denominator. Every terminating decimal can be written as a fraction with a denominator of 10, 100, 1000 etc. Write each number as a decimal. Use bar notation if it repeats Work Problems on board Write each decimal as a fraction or mixed number in simplest form. Write problems on board Write each of the following as an improper fraction Write problems on board. Homework Worksheet #2-26 Even Bellringer Thurday 9/20/12 • Write the following as a decimal 1. -3/4 2. 5 2/3 • Write the decimal as a fraction or mixed number 1. -.22 2. 4. 87 Compare and Order Rational Numbers 3.1 C Rational Number-is a number that can be expressed as a ration of 2 integers expressed as a fraction, in which the denominator cannot be 0. Common denominator- is the common multiple of the denominators of 2 or more fractions. Least common denominator (LCD)-is the LCM of the denominators. • Not all numbers are rational numbers. For example the greek letter pi is an irrational number. 3.14…. • Irrational numbers are numbers that go forever with no pattern. Compare using <, >, and = Write problems on board Order each set from least to greatest Write problems on board Homework pg 177 #12-19 all, 26-34 even Bellringer Friday 9/21/12 • Order from least to greatest: 7.49, 7 49/50, 7.5% • Write as a fraction: .23 • Compare: 6 2/3 and 6.5 Add and Subtract Like Fractions • Fractions that have the same denominator are called like fractions Add or subtract and write each in simplest form. Work problems on board Use the order of operations to add and subtract. Write in simplest form. Work problems on board HOMEWORK None Bellringer Monday 9/24/12 • Order from least to greatest and graph on the number line. 2.56, -3.7, 2 ½ , -1 ¾ Add and Subtract unlike Fractions 3.2 C Before you can add unlike fractions, or fractions with different denominators, you must find a common denominator. Add or subtract. Write in simplest form. Work problems Simplify Work problems Evaluate a= ¾, b= 5\6 Work problems Bellringer Tuesday 9/25/12 Jack and Jill are joggin on a track. Jill jogs ¼ of a mile and then stops. Jack jobs 5/6 of a mile, stops, and then turns around and jogs ½ of a mile. Who is further ahead on the track? Explain. Homework pg 238 # 22-36 even Add/Subtract Mixed Numbers To add/subtract mixed numbers, first add/subtract the fractions. If necessary rename using the LCD, then add/subtract the whole numbers. Simplify. Add or subtract. Simplify. Work problems Homework pg 242 # 21-31 odd Bellringer Wednesday 9/26/12 • Add: 7 ½ + 6 ¾ • Order: 4.5, 4 5/8 , -2.78, -2 ¾ • Subtract: 5 1/6 – (-4 ½ ) Multiply Fractions 3.3 B To multiply fractions. Multiply the numerators and denominators, then simplify. Multiply. Write in simplest form. Work problems on board. Evaluate each verbal expression: 1. 2. 3. 4. Four sevenths of two thirds. One third of eleven sixteenths. Find one half of one fourth of a gallon Find one one-hundredth of one onethousandth of a kilometer Evaluate each expression if: a=4, b=2 ½ ,c= 5 ¾ 1. a(b) + c 2. 2bc HOMEWORK pg 224 #26-40 even Bellringers Thursday 9/27/12 • Multiply: 4 (-5/3) • Multiply: 2 ½ (3 7/8 ) Divide Fractions 3.3 D To divide fractions, multiply by the reciprocal To divide a mixed number, rename the mixed number as a fraction greater than one. Divide and write in simplest form Work problems on board. Homework pg 228 # 22-36 even Bellringer Friday 9/28/12 • Multiply: (-3/4)(-5/7) • Multiply: (2 ½)(3/4) • Divide: 2/3 ÷ 7/3 Ch. 3 Review Day Work problems on board Homework Study Guide. Test MONDAY