2. Introduction to multiplication power point.
3. Promethean Flip chart for center: http://www.prometheanplanet.com/server.php?show=ConResource.16208
4. Hundreds chart: REview finding multiples of 2 with interactive chart.
5. Color multiples of 2 on one of these charts.
3.     Text p 126-127 / P 3-1 worksheet

2. Decide whether to add or multiply to solve these word problems. (if ws p 18)
Dean and Larry's Boy Scout troop organized a food drive for their small town.  Read each problem. Draw a picture and write a math number sentence to go with each problem.

2. Two grocery stores have promised 5 cases each of canned goods. How many cases of canned goods will the troup have?

3. The town has 4 streets.  If 3 boys are assigned to each street, how many boys will be needed?

4. If an average of 8 donations are collected from each of the four streets, how many donations will be made?

5. The scout leader will put all food donations in a truck as the boys collect them.  The leader will then drive 9 miles to the distribution center.  Then he drives 9 miles back home.  How many miles will he drive?

6. Dean and larry will apply their work towaard a merit badge in community service.  They will have 7 merit badges each.  How many merit badges will they have together?

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1.Things That Come In Groups:
-Work in small groups on 12 x 18 inch paper or make class lists at the board. List things that come in 2's; things that come in 3's , 4's , 5's, 6's , 7's, 8's ; 9's
-Write a word problem a day using one of the groups.
-Work with a partner to create a word problem with that would use the multiples of two.  Example:
Sally went to the store to buy some ribbons for her friends for Christmas. Each friend will need two ribbons for their pigtails. She has 6 friends to buy for.  How many ribbons will she need?

2.Patterns in Multiplying:  Hi- light the multiples of 2,3,4,5,6,7,8,9,10,11,12 on these charts.
(You can also use the student sheets in LEAP Number Lesson 6 since these are already printed out.)
    TTW demonstrate correct number patterns for each of the above charts using this interactive website.Identify the patterns seen.

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2. He piled the second-grade reading books into 9 stacks each.  How many reading books did he put on the shelf?

3. He organized the third grade social studies books into 8 stacks of 7 books each.  How many social studies books were there?

4. The principal looked through the 56 third grade social studies books and threw away 7 of them because they were worn out.  How many social studies books were left?

5.  The first grade math books made 7 neat stacks of 7 each.  How many math books were there?

6. One fifth grade class was on a field trip and didnt turn in their social studies books.  Jacob made 8 stacks of 5 each of the books which had been turned in. How many social studies books were there so far?

7.  When the fifth grade class came back, 32 more social studies books were brought to the storeroom.  show how he could stack these 32 books.

3.  Properties of Multiplication

   Zero Property of Multiplicaton: The product of any number and zero is zero.
            3 x 0 = 0            101x 0 =0            458 x 0 = 0

   Identity Property of Multiplication: The product of any number and one is that number.              3 x 1 =3            200 x 1 = 200            456 x 1 = 456

   Commutative Property of Multiplication:Two numbers can be multiplied in any order and the product is the same.  (Promethean flip chart : Commutative Property)
8. Text pg. 129-131.

Use the blank hundreds chart to create a bar graph for daily fact testing progress.

End of week

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Lesson 1.3
Grouping Numbers

Vocabulary

Multiple       Factor      Product
 Graph Paper Link
Multiple - the product of any two whole numbers.
Factor- The numbers multiplied to find a product.
Product  - The answer to a multiplication problem

 LEAP Number Lesson 6 - Relating Multiplication and Division

Distributive Property
Text pg. 132-133 (Use unifix cubes or manipulatives with graph paper to demonstrate)
Distributive Property- shows that you can break apart facts to find a product.

    4x 8 = (2x 8) + (2 x 8)    5 x 9 = (3 x 9) + (2x 9)

    7 x 4 = (_ x 4) + (_ x 4)     9 x 6 = (_ x 6) + (_ x 6)

    4 x 7 = (_ x 7) + (_ x 7)     4 x 3 = (_ x 3) + (_ x 3)

    7 x 7 = (_ x 7) + (_ x 7)     8 x 3 = (_ x 3) + (_ x 3)

                6 x 4 = (_ x _) + (_ x _)            4 x 6 = (_ x _) + (_ x _)

                3 x 9 = (_ x _) + (_ x _)            3 x 3 = (_ x _) + (_ x _)

Use unifix cubes to show an array to show the following: 4 x 6 =___     Use this site to practice or check.
 

1	2	3	4	5	6
1	2	3	4	5	6
1	2	3	4	5	6
1	2	3	4	5	6

Break it apart using the distributive property (4 x 6) = ( 2 x 6) + (2 x 6)

                                    (2 x 6) = ___

1	2	3	4	5	6
1	2	3	4	5	6

                                    (2 x 6) =___

1	2	3	4	5	6
1	2	3	4	5	6

                    1.   Now use the graph paper to make grids of the following problems.
                        Step 1: Draw a grid 3 x 4 = ___
                        Step 2: Draw another grid that shows the above problem broken apart.
                                    (2 x 4) + (1 x 4) = ___

                     2. Draw a grid for 5 x 6. Break it apart and draw another grid to show
                        how you broke the numbers apart.

                     3. Use this site to practice or check.

Area - the number of square units needed to cover a space. (p. 468)
(Math dictionary example) Don't forget to record your answer in square units.
 

Perimeter - The distance around a figure ( pg. 464)
(Math dictionary example)
 
 
 

1.  Day 1: View Power point presentation.
2. Day 2: Practice walking off area and perimeter with taped areas of the hall floor.
3. Day 3: Practice drawing shapes and measuring area and perimeter using graph paper and skittles.
4. Day 4 : Word problems with area and perimeter
Day 4:   LEAP Measurement lesson 2 : Student sheet 39 and 40.

Properties of Multiplication 

  Zero Property of Multiplicaton: The product of any number and zero is zero.
            3 x 0 = 0            101x 0 =0            458 x 0 = 0

  Identity Property of Multiplication: The product of any number and one is that number.              3 x 1 =3            200 x 1 = 200            456 x 1 = 456

  Commutative Property of Multiplication:Two numbers can be multiplied in any order and the product is the same. 75 x 4 = 4 x 75             8 x 6 = 6 x 8

 Distributive Property:Shows that you can break apart facts to find the products.
       7 x 4 = (5 x 4) + (2 x 4)

Find the missing number: _____ x 9 = 0        Which property can help you?

                                         1  x  _____ = 4     Which property can help you?
 Complete P 15 Worksheet

10 x 1 = 10                    11 x 1 = 11                12 x 1 = 12

10 x 2 = 20                 11 x 2 = 22                12 x 2 = 24

10 x 3 = 30                 11 x 3 = 33                12 x 3 = 36

10 x 4 = 40                11 x 4 = 44                12 x 4 = 48

10 x 5 = 50                11 x 5 = 55                12 x 5 = 60

10 x 6 =  60                11 x 6 = 66                12 x 6 = 72

10 x 7 = 70                11 x 7 = 77                12 x 7 = 84

10 x 8 = 80                11 x 8 = 88                12 x 8 = 96

10 x 9 = 90                11 x 9 = 99                12 x 9 = 108

10 x 10 = 100            11 x 10 = 110              12 x 10 = 120

10 x 11 = 110            11 x 11 = 121               12 x 11 = 132

10 x 12 = 120            11 x 12 = 132            12 x 12 = 144

Describe a rule that tells how to find each multiple of 10.

Describe a rule to tell houw to find each multiple of 11.

Describe a rule that tells how to find each multiple of 12.

How can you use breaking apart to find 7 x 12 ?

How can you use breaking apart to find 6 x 11 ?
 Basic word problems - whole group review      More word problems-  all types
Reasoning and Problem Solving:

1. How many eggs are in 3 dozen?        7 dozen?        5 dozen?            one gross (12 dozen)?

Sadie has 8 coins.

2. If all of Sadie's coins are dimes, how much money does she have?

3. If all of Sadie's coins are nickels, how much money does she have?

4. If Sadie has 5 nickels and 4 dimes, how much money does she have?

5. Which factor would you break apart to find 7 x 12 ? Explain.

6. Write a multiplication sentence for  6 + 6 + 6 + 6.

7. Write an addition sentence for: 

8. How many players would there be on 8 football teams?

9. When two teams are on a court playing volleyball, there are 12 players.  In a tournament, all 5 courts had games played at the same time.  How many players were playing at the same time?

10. When 2 teams are on the court playing basketball, there are 10 players. How many players would be playing in 7 games?

11. How many players are on the field when a football game is played?

12.  Explain how you could show the answer to 12 x 8 by using the Distributive Property of Multiplication.

13. A package of baseball cards includes 5 cards.  How many baseball cards are in 5 packages?

2.  Sadie is making 6 salads. She puts 12 olives in each salad. How many olives will she use in all?

3. Ms. Martinez brushes Sadie 7 times each week. In 11 weeks, how many times does she brush Sadie?

4. Garfield is making 12 bracelets. He uses 3 gold beads for each bracelet, 7 purple beads for each bracelet. How many gold beads will he need? How many purple beads will he need? How many beads will be on each bracelet?

5. Odie bought 9 packs of hockey cards. Each pack has 6 cards in it. How many cards did Odie buy in all?

Complete P-15 worksheet

Vocabulary video - short

Objective: Division is a total divided into groups with the same number in each group.
Activity: Give each group at a table a bag full of fruit loops or some cereal. Their job is to divide the cereal evenly among all the members of the group and write  a word problem and a number sentence to match.
Whole Group Lesson:
1.  Review the following ppt.Division ppt

Small Group:
1. Text pg. 146-147 with teacher (low-medium group)
2. Create the following on Chart Paper:
Writing in Math: Write a problem about equal groups that can be solved using  64 divided by 8.
   Writing in Math: How can repeated subtraction help you find 54 divided by 9?

• R124 worksheet
• Multiplication Bingo

Use the Activ Board Tool Box to complete the following activities from pg. 147.

1. You put 28 cards into 4 piles. How many cards are in each pile?
 
 
 

2. You need to arrange 32 people into rows of 8. How many rows can you make?
 
 
 

3. Work with the people in your group to answer this.  You divide 12 cups into 4 groups and get 3 cups in each group. If you divide the 12 cups into 2 groups instead, would each group have more or fewer than 3 cups?  Explain.
 
 
 
 

4. You want to plant 20 trees in 4 rows. How many trees should you put in each row?
 
 
 

5. A box holds 8 candles. How many boxes can you fill with 32 candles?
 
 
 
 

How many boxes can you fill with 48 candles?
 
 

6. Work with the people in your group to figure this out:
You have 18 toys to pass out equally to a group of children. Does each child get more toys if there are 6 children  or if there are 9 children? Explain.
 
 

7. Twelve players came to soccer practice. They formed two teams with the same number of players on each team.  How many players were on each team?
 
 

8. Writing in Math: Write a problem about equal groups that can be solved using  64 divided by
 

9. Writing in Math: How can repeated subtraction help you find 54 divided by 9?

 Homework:R124
 

LEAP Number Lesson 6: Student Sheet 16 and 17:
In this lesson, the tutor and the students will:
-see the relationship between multiplication and division,
-see the relationship between subtraction and division, and
-determine which operation is needed to solve a problem.

 Homework: R126

A fact family shows all the related multiplication and division facts for a set of numbers. You can use fact families to help you remember division facts.

This is the fact family for 3, 8, and 24.   Fact Families PPT
                            3 x 8 = 24
                            8 x 3 = 24
                            24 ÷ 8 = 3
                            24 ÷ 3 = 8

 Write the fact family for 2, 7, 14.

Copy and complete these fact families:
7 x  __ = 42            42  ÷ 6 = __        42 ÷ __ = __        __ x __ = 42

4 x __ = 28            28 ÷ __ = __        28 ÷ __ = __       __ x __ = 28

Write fact families for these numbers:
4, 3, 12                    56, 7, 8                9, 5, 45            72, 8, 9

Do pg. 149 # 7- 12,  Practice division facts on pg. 151 #1-16. Worksheet practice on fact families R 3-7
Math Fact Triangles cover sheet, page 1, page 2, page 3, page 4

1. Mrs. Martinez was making Thanksgiving dinner for 10 people. She had to make pumpkin pies. Each pie had 6 pieces. Everyone loved her pies so much that
each person wanted 2 pieces! How many pies would Mrs. Martinez have to make? Would she have any pie left over?
Draw a picture to help you figure out the problem. When you are finished, explain how you got your answer.

Answer ___________________ Any left-overs? _________________

2. Mrs. Martinez''s family always travels to a relative's house on Thanksgiving. It takes one hour and 35 minutes to get there. How much time will her family
have to travel on Thanksgiving? (Hint: They have to go home that day, too!)
 Write your answer and tell how you solved the problem.

3. Mary is having Thanksgiving dinner at her house this year. There will be 14 people eating dinner. Mary figures that the turkey should weigh at least 2 pounds for each person. Will a 25 lb. turkey be enough?

5. Sadie is baking cakes for Thanksgiving dinner. She needs 2 eggs for each cake. She has half a dozen eggs. How many cakes can he bake without getting more eggs?

6. Perry wants to buy a new television for watching the Thanksgiving Day football games with his family and guests. He can buy a 36 inch set for $ 849.95 or a 31 inch set for six hundred dollars. He’s wondering if it’s worth spending an extra ____________ for the larger screen.

7. Perry has decided to buy the larger set. He has two hundred dollars in his checking account. He has half as much money in his savings account as in his checking account. He plans to take the money from both accounts and charge the rest. How much will he have to charge?

 Math Problems to print

    A piece of pizza is cut into 8 slices. How many people can get one slice?

    8 ÷ 1 =8        What number  times 1 = 8?
1. RULE: ANY NUMBER DIVIDED BY ONE EQUALS THAT NUMBER.

                6 X 1 = 6    6 ÷ 1 = 6
                5 X 1 = 5    5 ÷ 1 = 5
                25 X 1 = 25        25 ÷ 1 = 25

                8 times what number = 8?

2. RULE: ANY NUMBER DIVIDED BY ITSELF (except 0) EQUALS ONE.
                8  ÷ 8 = 1            75 ÷ 75 = 1            9 ÷ 9 = 1

3. RULE: ZERO DIVIDED BY ANY NUMBER (except 0) IS 0.
  2 x 0 = 0            7 x 0 = 0
    0 ÷ 2 = 0            0 ÷ 7 = 0

4, RULE: YOU CANNOT DIVIDE BY 0.
    0 X ? = 5
    5 ÷ 0 = CANNOT BE DONE

Practice pg. 153.Worksheet R 3-9

Vicki and her brother, John, collect and sell baseball cards.  John has 6 cards to sell . Vicki has 2 cards to sell.  If they sell the cards for 8 cents each, how much money will they get altogether?

Here are two ways to solve the baseball problem.

1st solution:
Hidden Question: How many cards did they have to sell together?
 Vicki has 2 cards. John has 6 . 2 + 6 = 8  They had 8 cards to sell.
                     + 
Vicki  2 cards                                                          John = 6 cards                                        6 + 2 = 8
Question in the problem: If they sell the cards for 8 cents each, how much money would they get together?

    8 cards x 8 cents each = 64 cents

Vicki and John will get 64 cents together.

Hidden Question 2: How much money would John get for selling his cards?

Question in the problem: If they sell the cards for 8 cents each, how much money would they get together?  16 cents + 56 cents = 72 cents.

Write and answer the hidden question and solve. Use RICE. (REstate, Illustrate, Compute, Explain)

1. Sam and Mary ride bikes on  a 3 mile course. Last week Sam rode the course 6 times and Mary rode it 4 times.  How much farther did Sam ride than Mary?

2. Blake  has 12 tomato plants and 18 pepper plants for his garden. He plans to put 6 plants in a row.  How many rows does he need in all for the tomatoes and peppers?

3. Karen spent $12 to rent 3 video games. Her brother, Kareem, spent $12 to rent 6 movies.  How much more did it cost to rent one game than to rent one movie?

4. A train boxcar has 8 wheels. How many more wheels are on 6 boxcars than on 6 bicycles?

Problems (with hints) dealing with fractions, addition, multiplication, subtraction, division, money.

Text pg. 158-159 : Review/ Checkpoint

Division Expressions can be written in different ways.  For example m divided by 4 can be written as m ÷ 4 or m/4.

Divisor - the number by which another number is divided. (text pg. 146)
Example 32 ÷ 4 = 8      4 is the divisor

Dividend - the dividend is the number to be divided . (text pg. 146)
Example:  32÷ 4 = 8   32 is the dividend.

Quotient - the answer to a division problem.
Example: 32 ÷ 4 = 8    8 is the quotient.

Divisible - Can be divided by another number without leaving a remainder.
Example: 10 is divisible by 2 because I can divide 2 into 10 without having a remainder.

Use Fact Families to help you to divide.

2 x 5 = 10
5 x 2 = 10
10 ÷ 2 = 5
10 ÷ 5 = 2