Multiplication

MultiplicationLets Model Arrays, Base-10, Area Model, Partial Products, # Sentence

ARRAYAn arrangement of objects in rows and columns.4x3= 12 4

3

Multiply by multiples of 10s

ZeroesLets Practice4x5= ____ 4x50=____ 4x500=_____

12x2=____ 12x20=____ 12x200=____

9x8=____ 9x80=____ 9x800=____Practice: pg. 277-278 and pg. 289-290

1 Digit by 1 DigitAbby bought 3 packs of gum. There are 5 sticks of gum in each pack. How many sticks of gum are there all together?

For her birthday party treats she bought her 6 friends each a package of Starburst. Each package had 7 starburst candies in it. How many total pieces of Starburst were there?2 digit by 1 digitand 3 digit by 1 digitCalebs mom let him have 5 friends to sleep over . Each friend brought 14 baseball cards to trade. How many baseball cards were there in all?

AREA MODELPARTIAL PRODUCTSSara bought 6 cartons of eggs. They came with a dozen eggs in a carton. How many eggs did she buy? Base 10 blocksLets practice a few together.21x4=

12x5=

13x3=

24x3= The fourth grade students of Norton Elementary are traveling on 4 buses for their field trip. If each bus has 27 fourth grade students on it, approximately how many fourth grade students are going on the field trip?Each mini M&M bag holds 9 M&Ms. If there are 122 bags. How many total M&Ms will there be?The farmer planted 223 rows of corn. Each row had 7 corn plants. How many corn plants are there in all?Box Method

Lets try a few together: 22x3=17x4=31x12=

The teacher bought 18 boxes of crayons. Each box had 8 crayons. How many crayons did she buy in all?The teacher arranged her desks in 12 rows. Each row had 9 desks. How many desks are there in all?Partial Products

Practice on Pg. 225-226The Norton PTA was setting up chairs for a meeting. They put 327 rows and each row had 8 chairs. How many chairs were used in all?2 Digit by 2 DigitAs you work through the following problems. Really focus on the steps as they solve the problem.Area Model

Pass out graph paper.1st you put the numbers in EXPANDED form.5th: Multiply the ones (3x3) and color in yellow in the grid4th: Multiply ones by tens (3x10) and color in blue.3rd: Multiply the tens by the ones (20x3) and color in pink. 2nd: Multiply the tens by the tens(20x10)Standard/Expanded Algorithm Lets Practice:More practice: 52 x 6= pg. 207 and 265

37 x 22=

2-digit by 1-digit 2-digit by 2-digit There are 29 children in the classroom, each student will get 24 pencils. How many pencils will the teacher have to give out?

1st Lets write our number equation/sentence.2nd: Put in expanded form.3rd Lets make an AREA MODEL!Mrs.Drehers class is selling boxes of cookies for the school fundraiser. There are 22 students in Mrs.Drehers class. If each student sells 67 boxes of cookies, is 1,400 boxes of cookies a reasonable estimate?34 kids each have 24 Pokemon cards. How many Pokemon cards do they have in all?Adam sold 47 boxes of doughnuts for his schools fundraiser. Each box contained two dozen doughnuts. How many doughnuts did he sell?On a bus, there can be 2 kids to a seat. There are 23 rows of seats . . . 2 kids sit together on the right and two kids sit together on the left. If you count the bus driver who has his own seat, how many people can fit on the bus?

There are 42 calories in each mini candy bar. If Mrs. Wheeler eats 17 candy bars in a week. How many calories did she eat?

Mrs. Dobson has 36 red marbles in each shoe box. She has 16 of these shoe boxes in her garage. How many red marbles does she have?Design Your Own Multiplication ProblemKey WordsIn allAll togetherEach

FACTOR & PRODUCTFactor- A number that is multiplied by another number to find a product.Product- The answer to a multiplication problem. 5 x 7 = 355 and 7 are factors.35 is the product.

MULTIPLEThe product of two counting numbers is called a multiple of each of those numbers.

EX. The multiples of 3 is any product that has a 3 as a factor. 3, 6, 9, 12, 15, 18, 21, 24, 27, 30Square NumbersWhat is a square number? How can we use multiplication to find square numbers?SQUARE NUMBERThe number you get when you multiply a factor (integer) by itself.

Example: 4 4 = 16, so 16 is a square number.

PRIMEA Prime Number can be divided evenly only by 1, or itself. And it must be a whole number greater than 1.

Example: 5 can only be divided evenly by 1 or 5. ChallengeThe park has 16 sprinklers. They can spray 50 liters of water on the grass in one minute. How many liters can they spray in 38 minutes?You can buy 7 pounds of bananas for 2 dollars and 3 boxes of cereal for 5 dollars. How much would it cost to get 14 pounds of bananas and 6 boxes of cereal?

Alex is planning to make 8 bracelets. He will use 5 beads for each one. He wants to sell all the bracelets for 10 dollars each. How many more beads would he need if he decided to make 10 bracelets with 6 beads on each one?Javier and his friends make two large banners for the football game. Javier buys 6 rolls of paper. Each roll contains 12 feet of paper. They tape the rolls of paper together end to end to make two banners that are the same length. How long is each banner? (What would be the approximate answer?)Teresa paints a mural made with 7 tiles that are each 14 inches long. First, she paints a dark background covering half the length of the mural. How long is the painted part?A photography book contains 9 chapters. Each chapter is 14 pages long. Every odd-numbered page has 13 pictures. Every even-numbered page has 16 pictures. About how many pictures are in a chapter?______Book? _______Mrs.McGraws garden is a rectangle 10 feet wide and 13 feet long. She wants to put a fence all around the garden. The fencing comes in 2-foot sections that cannot be cut. What is the smallest amount of fencing she will need?Last year, Tia bought 2 sheets of 48 stickers from the craft store every month. She had 200 stickers left at the end of the year. Bridget bought 4 sheets of 13 stickers twice a month during the year. She had 296 stickers left at the end of the year. Which girl used more stickers?The cook at Petras Pancake House makes 9 pancakes in a minute. Estimate, to the nearest thousand, the number of pancakes she makes in five 2-hour shifts. Abigail and her friends made pancakes to serve at the school fundraiser. They made 112 trays of pancakes with 2 rows of 5 stacks of pancakes on each tray. There were 3 pancakes in each stack. Abigail says they made about 3,000 pancakes. Is her estimate reasonable?Juan is going to paint a room. Two of the walls are 10 feet wide and 8 feet high. The other two walls are 8 feet wide and 8 feet high. The room has two windows the are each 2 feet wide and 4 feet high. There is also a door that is 3 feet wide and 7 feet high. Juan plans to use paint that cover 100 square feet per quart. How many quarts of paint will Juan need to paint his room?