Download Second Nine Weeks

Multiplication and Division
Second Nine Weeks
Fosnot: Groceries, etc, and the Big Dinner and Investigations Unit 5
SOL 3.2, 3.5, 3.6, 3.20 See VDOE Curriculum Framework for details
Big Ideas
Multiplication is related to addition and involves counting groups of like size and determining how
many there are in all.
Division can be interpreted as fair sharing or as repeated subtraction.
Multiplication and division are related
All of the facts are conceptually related. You can figure out new or unknown facts from those you
already know.
Flexible methods for computation require a good understanding of the operations and properties of
the operations.
Fosnot: Groceries, Stamps, and Measuring Strips
Fosnot: The Big Dinner (thru Day 7) after completing the multiplication unit.
Classroom Routines and Mini-lessons
Minilessons for Early Multiplication and Division (Fosnot)
Developing Number Concepts: Place Value, Multiplication and Division ( Richardson)
Young Mathematicians at Work: Constructing Multiplication and Division (Fosnot)
Number strings from “Number Talks”
Calendar – smartboard calendar available at Smart Exchange – go to http://exchange.smarttech.com
and search for daily calendar, many include money, time, counting etc.
Resources
Fosnot: Groceries, Stamps, and Measuring Strips and the Big Dinner
Investigations Unit 5
Expressions Volume 1: Unit 9
Volume 2: Unit 4
Enhanced Scope and Sequence
http://www.doe.virginia.gov/testing/sol/scope_sequence/mathematics_2009/index.php
Multiplication and Division
Multiplication and Division Representation
ARRAY for the Commutative Property for Multiplication
Assessments
Multiplication and Division pre and post assessments at the end of this document. Assessments can
also be found embedded in the reosources.
Strategies
Repeated addition
Skip Counting
Doubling and Halving
Partial Products
Inverse Relationships
Vocabulary
Models
Open Number line
Area(array)
Equal Sets or Groups
multiples
arrays
factor
groups
sets
repeated addition
multiply
skip count
product
subtraction
quotient
divisor
dividend
division
fair share
share equally
divide
repeated
pattern
estimate
Online Resources/Games
VDOE Mathematics instructional video
http://www.doe.virginia.gov/instruction/mathematics/resources/videos/index.shtml
VDOE Vocabulary Word Wall Cards
http://www.doe.virginia.gov/instruction/mathematics/resources/vocab_cards/index.shtml
Mathwire
http://www.mathwire.com/numbersense/morepv.html
Place Value Games
http://www.free-training-tutorial.com/place-value-games.html
Virtual Manipulative Kit
http://highered.mcgraw-hill.com/sites/0073519456/student_view0/virtual_manipulative_kit.html
Suffolk County Resources
http://star.spsk12.net/
Rockingham County Resource page:
http://www.rockingham.k12.va.us/resources/elementary/3math.htm#1learning
Illuminations.com
VDOE enhanced scope and sequence
ABCYA.COM (100 Number chart and many other good things)
Investigations Smartboard activities
Appendix
Part 1 Assessments
Name ________________________________ Multiplication Pre-Assessment
Fill in the blanks with the missing numbers.
1.
5, 10, ________, 20, _________, _________
2.
__________, ___________, 6, 8, __________
3.
40, __________, 60, 70, _________90, __________
4.
4, 8, __________, 16, _____________, 24, ____________
5. Matt and Mark are counting fingers and toes.
How many fingers and toes are in the picture?
Show your work with pictures, words, or numbers.
Name ________________________________ Multiplication Pre-Assessment
Charlie has a collection of toy dogs. Each shelf has 5 toy dogs. If there are six
shelves in his room, how many toy dogs does Charlie have?
6.
Show your work with pictures, words, or numbers.
7. Write an equation that matches the picture.
__________________
8. Alicia has 6 bags of apples. In each bag, there are 4 apples. What is the total
number of apples Alicia has?
Show your work with pictures, words, or numbers.
Name ________________________________ Multiplication Pre-Assessment
9. 3+3+3+3+3=________________
Use the number line to help you solve the above equation.
10. 7+7+7+7+7+7=_______________
Use the array to help you solve the above equation.
Name ________________________________ Multiplication Pre-Assessment
1. Clint planted a flower garden. Each row had the same number of
flowers.
How many flowers did he plant?________
Write a number sentence for this problem.
2. Andrew had 3 rows with 4 columns of baseball cards hanging on his wall.
How many baseball cards does he have? _______________
Draw a picture that matches the problem:
Write a number sentence for this problem and solve.
_____________________________________________________________
Name ________________________________ Multiplication Pre-Assessment
3. Carrie has 5 groups of dolls. Each group has 3 dolls. How many dolls
does Carrie have? _________________
Draw a picture that models the problem:
Write a number sentence for this problem.
4. 2 x 8 =
Show how to solve this problem using a number line.
5. Complete the related math sentence:
______ x 3 = 6
9 x _____ = 72
2 x 3 = ____ x 2
1 x ____ = 0 x 3
______ = 8 x 7
Name ________________________________ Multiplication Pre-Assessment
6. Mike has 39 marbles. If Bobby has three times as many marbles as Mike,
how many marbles does Bobby have? Show how you got your answer.
7. 12 + 12 + 12 + 12 =
What multiplication sentence could help you solve this problem?
8. 15 x 7 =
Write a multiplication word problem and solve.
_____________________________________________________________
_____________________________________________________________
_____________________________________________________________
Name ________________________________ Division Pre-Assessment
1. Patty has 18 stickers to give to her friends. She wants to give equal shares to three of
her friends. How many stickers will each friend get?
2. Sammy watched the cows in the barn. He told Nora that there were 16 legs in the barn.
How many cows are in the barn?
Show your work with pictures, words, or numbers.
3. These bagels were eaten at the Smith family breakfast. If each person had two bagels
and all the bagels were eaten, how many Smiths had breakfast? Use the picture to help
you solve the problem
__________________________________
Name ________________________________
Division Post-Assessment
1. Carrie has 18 grapes. She wanted to share them with her two friends. How
many grapes will they each get? Draw a picture below to show your answer.
Carrie
Friend 1
Friend 2
Write a number sentence for this problem:
______________________________________________________
2. Write a division problem for the area model shown below.
_________________________________________________
3. Show how to solve 6 ÷ 3 using the number line below.
Name ________________________________
Division Post-Assessment
4. Use the inverse relationship to solve the division sentences.
2 x 7 = 14 and 14 ÷ 2 = ______
Complete the math sentences below:
5.
72 ÷ 9 = ______
6.
56 ÷ 8= ________
7.
28 ÷ 7= _______
8.
12 ÷ ______= 3
9.
____÷ 9 = 9
10.
12 ÷ _______ = 12
10 ÷ 0 = ______
12.
48 ÷ ______= 6
11.