Division by 6. Example = 24 6 = Example 2 4 = 24 4 = 4 24 ? 24
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1 LESSON 8 Division by 6 Notice that all the multiples of six are even numbers. Notice also that when you add the digits of the multiples, they add up to three or a multiple of three. In 6 7 = 42, 42 is an even number and = 6, which is a multiple of three. Carefully observe the student s progress and move to the next lesson only when you are satisfied with his or her mastery. Example 1 6? = 24 6 = 6 24 What times six is equal to 24? Six times what is equal to 24? How many sixes can I count out of 24? 24 divided by six equals what number? Example 2 4 4? = 24 4 = 4 24 What times four is equal to 24? Four times what is equal to 24? How many fours can I count out of 24? 24 divided by four equals what number? Division by 6 - LESSON 8 33
2 LESSON 8 - Division by 6 DELTA
3 LESSON PRACTICE 8A Answer the questions. 1. How many sixes can you count out of eighteen? 2. How many sixes can you count out of fifty-four? 3. How many sixes can you count out of twelve? 4. How many sixes can you count out of sixty? Divide DELTA LESSON PRACTICE 8A 105
4 LESSON PRACTICE 8A = = = = = Fill in the unknown number to make the division problem true = How many ants are present if there are 24 legs? (Ants have six legs apiece.) 18. How much must Dana earn every day in order to earn $30 in six days? 106 DELTA
5 LESSON PRACTICE 8B Answer the questions. 1. How many sixes can you count out of thirty? 2. How many sixes can you count out of six? 3. How many sixes can you count out of twenty-four? 4. How many sixes can you count out of forty-eight? Divide DELTA LESSON PRACTICE 8B 107
6 LESSON PRACTICE 8B = = = = = Fill in the unknown number to make the division problem true = If it took Marie six minutes to play a song on her harp, how many songs could she play in one hour? (1 hour = 60 minutes) 18. Roger earned $54 in six hours. How much did he earn each hour? 108 DELTA
7 LESSON PRACTICE 8C Answer the questions. 1. How many sixes can you count out of fifty-four? 2. How many sixes can you count out of thirty-six? 3. How many sixes can you count out of sixty? 4. How many sixes can you count out of forty-two? Divide DELTA LESSON PRACTICE 8C 10
8 LESSON PRACTICE 8C = = = = = = 17. Shane has $48 to spend on Christmas gifts for six of his friends. How much will he be able to spend on each friend? 18. A carpenter has a board that is 18 feet long. If he saws it into six equal lengths, how many feet long will each piece be? How many yards long is each piece? 110 DELTA
9 SYSTEMATIC REVIEW 8D Divide = = = = Find the area ft 12 ft 14. 7" 3" in 4 in A = A = A = DELTA SYSTEMATIC REVIEW 8D 111
10 SYSTEMATIC REVIEW 8D QUICK REVIEW Place-value notation can be used to check your work when multiplying. Be sure to place each carry in the proper column. Study the example. Example Multiply. Check your work with place-value notation Each of the 12 white mice had 15 babies. How many baby mice is that? 20. The area of a rectangle is 45 square feet, and the area of a parallelogram is 61 square feet. What is the difference between their areas? 21. Sophie bought 36 skeins of yarn. If she uses six skeins for each afghan, how many afghans can she make? 22. Kevin earned $3 yesterday and $28 today. How much did he earn in all? 112 DELTA
11 SYSTEMATIC REVIEW 8E Divide = = = = DELTA SYSTEMATIC REVIEW 8E 113
12 SYSTEMATIC REVIEW 8E Add or subtract Multiply. Check your work with place-value notation Don bought 30 feet of cable for a dog run. How many yards long will his dog run be? If the cost of the cable is $6 a yard, what is the total cost? 21. A parallelogram has a base of 14 inches and a height of 18 inches. What is its area? 22. Paul drove 46 miles this morning and 28 miles this afternoon. How many miles did he drive today? 114 DELTA
13 SYSTEMATIC REVIEW 8F Divide = = = = DELTA SYSTEMATIC REVIEW 8F 115
14 SYSTEMATIC REVIEW 8F Add or subtract Multiply. Check your work with place value-notation Twenty-four people are lined up for a ride at the fair. If six people can ride at one time, how many turns will be needed to give everyone a ride? 21. Mr. Rich made $35 an hour. If he worked for 14 hours, how much did he earn? 22. A parallelogram has an area of 42 square feet. If the height is six feet, what is the length of the base? (divide) 116 DELTA
15 APPLICATION & ENRICHMENT 8G Color the picture. Complete each step in the order given for best results. If you have already colored a number, do not color it again in the next step. If the number has six as a factor, color the space lavender or purple. If the number has 10 but not six as a factor, color the space blue. If the number has nine but not six as a factor, color the space red. If there is no number, leave the space white DELTA APPLICATION & ENRICHMENT 8G 117
16 APPLICATION & ENRICHMENT 8G Quadrilateral is a big word that means four sides. Parallelograms, rectangles, and squares are all quadrilaterals. There are other kinds of quadrilaterals as well. 1. Put a black X on every shape that is not a quadrilateral. A quadrilateral with two sets of parallel sides is a parallelogram. Some parallelograms have square corners and some do not. 2. Draw a red circle around the parallelograms. How many parallelograms did you find? A parallelogram with four square corners or right angles is a rectangle. 3. Draw green circles around the rectangles. Some shapes will have both red and green circles. How many rectangles did you find? 4. A square is a special rectangle that has all four sides the same length. Color the square blue. 118 DELTA
17 LESSON TEST 8 Divide = = = = DELTA LESSON TEST 8 21
18 LESSON TEST 8 Add or subtract Multiply Jeremy was bored, so he counted people s feet as they walked by. If he counted 20 feet, how many people had gone by? 20. A parallelogram has an area of 36 square feet. If the height is six feet, what is the length of the base? 22 DELTA
19 Systematic Review 7E - LESSON PRACTICE 8A = 8 81 = 21 = = = = = parallel 5 3= 15 sq yd Systematic Review 7F 7F = 42 sq ft 3 8 = 24 sq in 10 = 0 sq ft 3 3= sq mi 27 = = = = 8 72 = = 20 = = = = = = = = 7 qt = 14 books LessonPractice8A 8A ,12,18;3 6,12,18,24,30,36,42,48,54; 6,12;2 6,12,18,24,30,36,42,48,54,60; = = = = = = = = = 7 54 = 6 30 = = = 4 ants $30 6 = $5 a day DELTA SOLUTIONS 121
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