Lesson: Factoring Lesson Topic: Find factors of a whole number Write the factors of 28: 28 = 1 28 = 2 28 = 2 2 Find all possible pairs of factors of 0. 0 = 1 0 = 2 0 = 2 Find all possible pairs of factors of 18. 18 = 1 18 = 18 = 9 18 = 2 Find all possible pairs of factors of 27. 27 = 1 27 = 27 = Find all possible pairs of factors of 2. 2 = 1 2 = 2 2 = 2 2 2 = 2 2 2 2 = 2 2 2 2 Lesson: Whole Number Division Lesson Topic: Divide three- and four-digit numbers
6 972 12 612 Remainder 57 5506 Remainder 2 1 9125 25 = Lesson Topic: Divide five-digit numbers Remainder 76 1191 17622 89 = 98 89 =
Remainder 0 7998 9 586 Lesson Topic: Solve division word problems A baker made 26 cupcakes. Cupcakes are packed per box. How many boxes of cupcakes are packed? How many cupcakes are left unpacked? boxes and cupcakes left unpacked The Guzman family lives 20 miles from Mexico City. If the Guzmans travel in their car at 60 miles per hour, how long does it take for them to get to Mexico City? hours If a bus travels an average of miles per hour, how long will it take for the bus to make a 1,20 mile trip? hours The rich uncle has $2,569 and divides the money equally among his 1 nieces and nephews. How much money does each person receive and how much money is left over? $ and $ left over A merchant travels with 269 pounds of silver goods, 167 pounds of fruit, and 51 pounds of herbs, but only has 11 camels to carry everything. How many pounds of goods does each camel have to carry and how many goods are left over? pounds each and pounds of goods left over Lesson Topic: Divide using a multiple of 10
10 800 20 000 0 180 50 600 50 000 Lesson: Dividing Fractions by Fractions Lesson Topic: Divide fractions with same denominators 5 1 5 = 8 9 1 9 = 6 1 6 =
8 2 8 = 6 6 2 6 = Lesson Topic: Create equal denominators to divide fractions 2 5 1 = 5 6 2 = 5 7 1 = 8 9 1 = 6 1 2 = Lesson Topic: Learn the reciprocal 8 x 8 = 2 = 2
1 x = = 1 2 x = 6 = 6 5 5 x = = 15 6 x = = 7 6 2 Lesson Topic: Express reciprocals 2 x = = 1 What is the reciprocal of 9 10? 2 x = = 8
5 20 x = = 1 20 6 18 x = = 18 Lesson Topic: Divide fractions with a reciprocal 5 7 2 9 = 1 7 1 9 = 8 9 1 = 5 9 = 11 9 = Lesson Topic: Divide two fractions word problems Claire made 1 2 pound of trail mix. If she puts 1 pound of trail mix into each bag, how many bags are filled? bags
You made 1 2 quart of lemonade. How many 1 quart-sized glasses will you be able to fill with lemonade? glasses A factory that makes granola bars uses 1 6 of a barrel of raisins in each batch. Yesterday, the factory used 5 6 of a barrel of raisins. How many batches did the factory make yesterday? batches Your bird feeder holds quarts of birdseed. Your scoop holds 8 of a cup. How many scoops of birdseed will fill the feeder? scoops (Hint: 1 cup = 1 quart. Gregorio made 2 5 quart of hot chocolate. Each mug holds 1 10 quart. How many mugs are used for the hot chocolate? mugs Lesson Topic: Divide mixed numbers Solve: 1 2 2 1 2 = Solve: 5 1 2 2 7 = Solve: 2 5 1 7 = Solve: 2 5 2 1 5 =
Solve: 5 2 2 = Lesson Topic: Divide mixed numbers word problems Each lap around a park is 1 1 5 miles. Kellyn plans to jog at least 7 1 2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal? laps (Hint: Remember, her coach only allows her to do complete laps. Gina is putting books on a shelf that is 21 2 inches long. If each book is 2 1 inch wide, how many books can she fit on the shelf? books (Hint: Only a whole number of books can be put on the shelf. Mr. Meadows has a 6 1 2 gallon bucket. His dipping can holds 1 1 2 gallons. How many times does he have to dip into the pond with the dipping can to fill the bucket to the top? times to dip (Hint: The answer will be a whole number because after you divide, a remaining fraction means you will need to dip one more time to fill the bucket. Mr. Case is placing boxes along one of the walls in his attic. If the wall is 11 1 feet long and each box is 2 1 2 feet long, how many boxes can he fit along the attic wall? boxes (Hint: Only a whole number of boxes can be placed along the wall. A baker needs cups of flour. If she uses a 1 1 2 cup measuring scoop, how many scoops of flour must the baker use to have at least cups? scoops (Hint: The baker can only use a whole number of scoops.
Correct Answers Lesson: Factoring Lesson Topic: Find factors of a whole number 28 1 7 0 15 5 18 6 2 27 9 2 16 8 2 Lesson: Whole Number Division Lesson Topic: Divide three- and four-digit numbers 27 51 96 17 22 65 Lesson Topic: Divide five-digit numbers 156 75 198 1106 198 8 1176 Lesson Topic: Solve division word problems 81 2
0 760 9 Lesson Topic: Divide using a multiple of 10 80 200 6 12 80 Lesson: Dividing Fractions by Fractions Lesson Topic: Divide fractions with same denominators 8 2 Lesson Topic: Create equal denominators to divide fractions 1.2 1.25 2.128 2.6666 1. Lesson Topic: Learn the reciprocal 1
1 2 1 15 1 7 2 1 Lesson Topic: Express reciprocals 2 8 8 1.1111 8 2 1 5 6 1 Lesson Topic: Divide fractions with a reciprocal.212 1.2857 2.6666 1.5.616 Lesson Topic: Divide two fractions word problems 2 2 5 8 Lesson Topic: Divide mixed numbers 1.
2. 1. 1.2727 1.212 Lesson Topic: Divide mixed numbers word problems 7 9 5