Multiply by 10, 10 = 1 Dime

Transcription

1 LESSON 5 Multiply by, = 1 Dime When multiplying by, encourage the student to look for patterns. Notice that whenever you multiply times any number, the answer is that number plus a zero. That is because is made up of a 1 digit which means one ten and a 0 digit that means zero units. So 4 is the same as 4 1 ten = 4 tens and 4 0 units = 0 units, or 40. The ty in forty stands for. To make sure the student has this concept, I like to ask, What is banana times? The answer is banana tens, written banana 0 and pronounced banana-ty. These are easy facts to learn and remember, but don t take them for granted. Make sure they are mastered using any of the techniques shown below. On the worksheets, there have been rectangles where the student wrote in the fact at the end of the line in the space with an underline. These can be put to another use by adding the multiplication problem that corresponds to the multiple of. Here are a few examples. 40 Ten counted one time equals ten or 1 =. Ten counted two times equals twenty or 2 =. Ten counted three times equals thirty or 3 =. Ten counted four times equals forty or 4 = 40. Multiply by, = 1 Dime - LESSON 5 29

2 6 = 60 5 = 4 = 40 3 = 2 = 1 = Another way to show this is on a number chart. Circling all of the facts, or multiples of, reveals the pattern that corresponds to the blocks above Each ten fact can be built in the shape of a rectangle. Whenever illustrating with the blocks, also write the problem and say it as you build. counted 5 times is the same as, or times 5 equals, or over and 5 up is. We may also think of a multiplication problem as a size comparison. One of the numbers that we say when we skip count by is. Writing this as a multiplication problem gives us 3 =. Turning the equation around gives us = 3. We can verbalize = 3 as Thirty is ten times as large as three. Use the blocks to illustrate this if you wish. LESSON 5 - Multiply by, = 1 Dime GAMMA

3 Counting by is the first step. After this is accomplished, say the factors slowly, and ask the student to say the product. For example, you say ten counted one time, or ten times one, and the student says ten. Continue by saying ten times two, and having the student say twenty. (I often have the student say twoty as well as twenty to show that there is meaning in our words.) Proceed through all the facts sequentially just as when the student learned to count by. Here are the facts with the corresponding products ( )( ) ( )() ( )( ) ( )( ) ( )( ) ( )( 5) ( )( 6) ( )( 7) ( )( 8) ( )( 9) counted 1 time counted 4 times counted 9 times 0 ( )( ) GAMMA Multiply by, = 1 Dime - LESSON 5 31

4 = 1 Dime A good place to apply math is with money. We ve learned that is the same as one dime, so we can ask how many pennies are the same as six dimes or how many cents are in six dimes. The answer is 6 or 60. = Dime = Example 1 How many cents in six dimes? 6 = 60 We will be reviewing and using multiplication facts throughout the student workbook. Go to MathUSee.com for more resources that may be used to review multiplication facts. 32 LESSON 5 - Multiply by, = 1 Dime GAMMA

5 LESSON PRACTICE Find the answer by multiplying. 5A 1. 0 = 2. 5 = 3. 2 = 4. 6 = 5. ()() = ()(3) = 9 = 7 = = = 7 = 4 = = 1 3 = 6 = 3 = GAMMA LESSON PRACTICE 5A 63

6 LESSON PRACTICE 5A Color all the boxes that have a number you would say when skip counting by. Notice the pattern How many pennies or cents are the same as four dimes? 1 Ten counted nine times equals.. Ten cars went by the house every hour. How many cars went by in six hours? 64 GAMMA

7 LESSON PRACTICE Find the answer by multiplying. 5B 1. 8 = 2. 1 = 3. 9 = 4. 0 = 5. ()(5) = ()(4) = 6 = = = = 5 = 8 = = 1 9 = 0 = 9 = GAMMA LESSON PRACTICE 5B 65

8 LESSON PRACTICE 5B Skip count and write the missing numbers. Then fill in the missing factors ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) 1 How many pennies or cents are the same as seven dimes? 1 Ten counted six times equals.. Jason did five math problems on Monday. He did ten times as many problems on Tuesday. How many problems did he do on Tuesday? 66 GAMMA

9 LESSON PRACTICE Find the answer by multiplying. 5C 1. 3 = 2. 8 = 3. 1 = 4. 2 = 5. ()(9) = (7)() = 5 = 6 = = = 1 = 4 = = 1 7 = 2 = 7 = GAMMA LESSON PRACTICE 5C 67

10 LESSON PRACTICE 5C Color all the boxes that have a number you would say when skip counting by. What kind of pattern do you see? How many pennies or cents are the same as five dimes? 1 Ten counted three times equals.. The professor paid two -dollar bills for his new book. How much did the book cost?. 68 GAMMA

11 SYSTEMATIC REVIEW Find the answer by multiplying. 5D 1. 5 = 2. 7 = 3. 2 = 4. ()() = = = 2 9 = 2 4 = GAMMA SYSTEMATIC REVIEW 5D 69

12 SYSTEMATIC REVIEW 5D = = 3 = 2 5 = QUICK REVIEW These two-digit addition and subtraction problems can be done without regrouping. Just add or subtract the units and the tens. The first one is done for you. Add or subtract Jessica slept 7 hours a day for the last days. How much sleep did she get in days? 22. Jessica s little sister Julie still takes naps, so she got more hours of sleep than Jessica during the last days. How much sleep did Julie get during that time? You will need to use your answer from # GAMMA

13 SYSTEMATIC REVIEW Find the answer by multiplying. 5E 1. 8 = 2. 6 = 3. 9 = 4. ()(0) = = 3 = 1 9 = 3 = Rewrite using place-value notation = = + GAMMA SYSTEMATIC REVIEW 5E 71

14 SYSTEMATIC REVIEW 5E Add or subtract How many cents are the same as eight dimes?. There are four people in our family. How many fingers do we have in all? 21. Grandma made six cherry pies and four apple pies. Aunt Mona cut each pie into pieces. How many pieces of pie were there when she was done? 22. Noah bought nine quarts of milk. How many pints of milk does he have? 72 GAMMA

15 SYSTEMATIC REVIEW Find the answer by multiplying. 5F = 2. 2 = 3. 3 = 4. ()(9) = Rewrite using place-value notation = = + GAMMA SYSTEMATIC REVIEW 5F 73

16 SYSTEMATIC REVIEW 5F Add or subtract What is five counted times?. How many cents does Shane have if he has nine dimes? 21. Max has 5 dollars. Wayne has times as much money as Max. How many dollars does Wayne have? How much money do Max and Wayne have altogether? 22. Karyn filled eight quart jars with jam. How many pints of jam did she make? 74 GAMMA

17 5G APPLICATION & ENRICHMENT Skip count by ten. Start at the star and connect the dots all the way to 0. Use the picture to practice skip counting by ten Freddy Frog ate flies every Friday. How many flies did Freddy eat in five Fridays? GAMMA APPLICATION & ENRICHMENT 5G 75

18 APPLICATION & ENRICHMENT 5G Here is a pictograph for you to draw. Draw the correct number of dimes after each person s name. Line the dimes up so you can easily see who has more or fewer dimes. Here is the information you need. Aiden - 3 dimes Willow - 6 dimes Connor - 3 dimes Dani - 8 dimes Petra - 4 dimes Aiden Willow Connor Dani Petra 1. Who has the most dimes? 2. Which two people have the same number of dimes? 3. Multiply by to find how much money Willow has. 4. How many more dimes does Petra need to have the same number as Dani? 5. Multiply by to find how much money Conner has. Challenge: Can you use skip counting to find how many cents are in all the dimes shown on the pictograph? 76 GAMMA

19 LESSON TEST Find the answer by multiplying = 2. 9 = 3. 3 = 4. 7 = 5. (6)() = ()(1) = 4 = 5 = Add or subtract GAMMA LESSON TEST 5 11

20 LESSON TEST Rewrite using place-value notation: 194 = Jeremy has seven dimes. How many cents does he have? 1 Christa bought quarts of milk. How many pints of milk did she buy? Her son and his friends drank pints of milk. How many pints were left over?. Jason jogged 3 miles a day for days. How many miles did he jog altogether? 12 GAMMA

21 Systematic Review 4E - LESSON PRACTICE 5A SystematicReview 4E = 0 5 2= 2 2= = 8 2 3= 6 9 1= = 12 2= 7 2= = = = = 5 1 5= = = 12,,, 40,, 60, 70, 80, 90, = = = = = = 16 mittens 5 2= 3= 7 eggs SystematicReview 4F = 6 2 = 8 2= = 7 2 3= = = = 0 5 2= 2 5= 7 2= = = = = = = 4 5,, 15,, 25,, 35, 40, 45, 16 9 = = = = = peanuts 3 2= 6 pints 2 2= 4 hats 3 2= 6 hats 4+ 6 = hats LessonPractice5A = 0 5 = 2= 6 = 60 = 0 3= 9 = 90 7 = 70 2= 5= 1= 3= 7 = 70 7 = 70 4 = 40 4= 40 6 = 60 6 = 60 3= 3 = GAMMA SOLUTIONS 123

22 Lesson Practice 5A - SYSTEMATIC REVIEW 5D 1. 6 = 60 5 = problems / = 40c / = 90 6 = 60 cars LessonPractice5B = 80 1 = 9 = 90 0 = 0 5= 4 = 40 6 = 60 = 0 8 = 80 7 = 70 2= 1= 5= 5 = 8 = 80 8 = 80 0 = 0 0 = 0 9 = 90 9 = 90 0 ()(0) 40 ()(4) 80 ()(8) ()(1) ()(5) 90 ()(9) ()(2) 60 ()(6) 0 ()() ()(3) 70 ()(7) = 70c/ LessonPractice5C = 8 = 80 1= 2 = 9 = 90 7 = 70 5= 6 = 60 0 = 0 4 = 40 = 0 3= 1= 1 = 4 = 40 4 = 40 2= 2 = 7 = 70 7 = 70 see 5A # = c/ 3= $ 2 = $ SystematicReview 5D = 7 = 70 2= = 0 2 5= 5= 6 2= = = 3 9 2= 18 8 = 80 4 = 40 = 124 SOLUTIONS GAMMA

23 Systematic Review 5D - SYSTEMATIC REVIEW 5F = = = = 8 3= 3 = 5 2= 2 5= done = 70 hours 70 + = 90 hours SystematicReview 5E = 80 6 = 60 9 = 90 0 = 0 5 1= 5 6 2= = 8 5= 2 2= 4 2 5= 9 1= = 9 3 = 3= = 80 4 = 40 fingers 6+ 4 = = 0 pieces 9 2= 18 pints SystematicReview 5F = 4 2 = 3= 9 = = = 16 7 = 70 1= 3 2= 6 4 2= = = GAMMA SOLUTIONS 125

24 Systematic Review 5F - LESSON PRACTICE 6C = 9 = 90c/ Wayne: $5 = $ Together: $ + $5 = $ = 16 pints LessonPractice6A = 5 9 = = 40 5 = 2 5= 5 5= = 5 5 3= = = 0 6 5= 5 5= 25 5 = 5= 5 7 = = = = = 6 5= LessonPractice6B = = 5 6 = 5 1= 5 2 5= 9 5= = = = = 0 5= 5 4= 5 2= 2 5= 5 8 = = = = = 5 1 5= 5 6 5= 5 6 = = c/ = 25c/ = c/ = 5 8 = 40 fingers LessonPractice6C = 6 5= 5 = 0 5= 0 5 1= 5 7 5= = = 5 3= = = = = 126 SOLUTIONS GAMMA

25 Application & Enrichment Solutions Application & Enrichment 1G , 4 3, area = , 7 3, area = , 6, area = three 4-bars, 3 4, four 3-bars, 3 4, 4 3 two 6-bars, 2 6, 6 2 yes Application & Enrichment 2G = = 5 pets 3. 4, 4, yes 4. 4, 3, no 5. 0, 0, yes 3, 4, no 1 4, 4 1, (1)(4), (4)(1), 1 4, 4 1, = 4 Application & Enrichment 4G 1. Friday 2. Tuesday 3. Monday and Wednesday = 16 quarts Across 1. product 3. quart 4. rectangle factors Down 1. pints 2. square 5. area Pictograph Aiden Willow Connor Dani Petra 1. Dani 2. Aiden, Conner 3. 6 = dimes 5. 3 = Skip counting by ten gives 240. You may want to use real dimes and put them in piles to show that this is the same as $2.40. Application & Enrichment 6G Two fact circle pattern Bottom row of chart: 0, 2, 4, 6, 8,, 12, 14, 16, 18, 1. 2 times 2. 5 sides 3. pentagon Five fact circle pattern Bottom row of chart: 0, 5,, 15,, 25,, 35, 40, 45, The pattern is a single line. Application & Enrichment 7G 1. 2 = sq ft = sq ft 3. 1 = sq ft 4. yes Application & Enrichment 5G 5 = flies GAMMA SOLUTIONS 187

26 Lesson Test 4 - LESSON TEST = 7 2= = 4 8 2= = 0 2= 3 1= 3 5,, 15,, 25,, 35, 40, 45, 9 4 = = = 9+ 8 = = 12 jars 2 4 = 8 pieces Lesson Test5 Test = 9 = 90 3 = 7 = 70 6 = 60 1= 4 = 40 5= 8 = = 1 3= 3 8 2= = = 70 cents = 1 2 = pt = pt. 3 = mi Lesson Test 6 Test = = = 5 8 = = 5 0 = 0 5= 5 5= = 2 7 = = 18 6 = = = 8 5 3= = 23 chores 3 5= 15c/ 8 = 80c/ = 95c/ 6 5= minutes 194 SOLUTIONS GAMMA