Equal Groups
Suzie had made 4 dozen cookies. How many cookies in total did Suzie make?
Suzie made 48 cookies total.
Solve.
10 (40 + 3) =
430
There are 45 students. We need to make groups of 5 students. How many groups can we make?
9 groups
What is the name of the number at the beginning of a division sentence?
Dividend
Liz has 22 sketches in her booth at an art fair. Rick has 4 times as many sketches as Liz. Then, Rick gives half his sketches to Liz. How many sketches does Liz have in her booth now?
Problem Type:__________________________
Change Problem.
Liz has 66 sketches now.
3 x 198 =
300+ 270 + 24 = 594
4 x 256 =
Show expressions.
4 x 200 = 800
4 x 50 = 200
4 x 6 = 24
Total: 1,024
Use an array model to show:
15 divided by 3 =
Show array: 15 (dividend) and 3 as divisor.
Quotient= 5
What do you call the answer to a multiplication problem?
Product
Ahmed takes 18 photos on a field trip. Michelle takes 4 times as many photos as Ahmed. Then, Michelle emails half her photos to Ahmed. How many field trip photos does Ahmed have now?
Problem Type:__________________________
Change Problem:
Ahmed has 54 photos now.
23 x 39 =
897
Show the partial products of:
25 x 67 =
(20 + 5) x ( 60 + 7) =
(20 x 60) + (20 x 7) + ( 5 x 60) + (5 x 7 )
14 divided by 4 =
3 R2
What is it called when you use the opposite operation in math?
Ex. Use addition to solve a subtraction problem.
Inverse Operation
Tara sends 6 text messages. Amy sends 5 times as many messages as Tara. Rick sends 3 times as many messages as Tara. How many messages do they send altogether?
Problem Type:___________________________
Tara: 6 messages; Rick 18 messages;
6 + 18 = 24 messages
122 + 4 =
148
4 x 356, using the Distributive Property, show the equations to show partial products.
4 x 300; 4 x 50; 4 x 6
Raquel gets paid $12 for every hour that she walks and feeds a dog. She is also paid a tip on her total wage. If she earned $90, how much was her tip?
Quotient: 7 x 12 = 84 + 6 = 90
She received a tip of $6.
Definition of a change problem.
The problem has a starting quantity, has a change, and then an ending quantity that is different.
Mindy designs 3 times as many ads as Alex. Cara designs 9 more ads than Mindy. They design 58 ads altogether. How many ads does Alex design?
Problem Type:_______________________________
Compare;
Alex = n
Mindy = 3n
Cara = 3n +9
7n + 9 = 58
7n =49
n= 7
Alex designed 7 ads.
138 x 4 =
552
47 x 88, show the Distributive Property and solve.
( 40 + 7) x ( 80 + 8)=
( 40 x 80) + (40 x 8) + (7 x 80)+ (7 x 8) =
3200+ 320 + 560 + 56 = 4,136
Tanya collected 42 winter coats to donate to a shelter. She packs them in boxes that hold 5 coats each. How many boxes does she need?
8 R2
She needs 9 boxes.
Match Vocabulary to Operation:
Addition Product
Subtraction Quotient
Multiplication Sum
Division Difference
Addition= Sum
Subtraction= Difference
Multiplication= Product
Division = Quotient
Jerome downloads 72 songs online. He downloads 8 times as many songs as Cy. Then, Jerome sends half his songs to Cy. How many songs does Cy have now?
9 + 36 = 45 songs.
Cy has 45 songs now.