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# Single-Digit Multiplication

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by

## Cheyenne Evans

on 12 December 2013

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#### Transcript of Single-Digit Multiplication

Single-Digit Multiplication
Mathematical Landscape Project
Single-Digit Multiplication
Multiplying (repeated addition) of two or more whole numbers that are less than ten.

Theresa Dominguez and Cheyenne Evans
EDUC*220

Prerequisites
Essential Understanding
Understandings, Knowledge, Skills
Models and Meanings of the Concept
Common Difficulties & Misconceptions
Other Information
Properties/Strategies
Thinking Strategies
Connections
Ex: 4*2 is the same as 4+4
Ex: 4*3 is the same as 4+4+4
Inverse of Division
4*2=8 and 8/2=4
3*4=12 and 12/4=3
Example: (n<10) x (n<10)
What Should Students Know:
Number Sense
Symbols for Multiplication and Addition
Understand Single Digit Addition
Terms for Multiplication
Application:
Story Problems
Money
Division
Set Models
Equal size sets
Measurement
Number line
Arrays
Rows of Equal Size
Cartesian Product
Tables and Tree Diagrams
Multiplicative Compare
Distributive Property
Symbols:
a
(
b
+
c
)=(
a
*
b
)+(
a
*
c
)
Ex:
3
(
4
+
2
)= (
3
*
4
)+(
3
*
2
)
Multiplying the sum or difference by a number gives the same result as multiplying each addend by the number and then adding/subtracting the products together
Associative Property
Symbols:
(a*b)
*c=a*
(b*c)
Ex:
(3*4)
*5=3*
(4*5)
Grouping doesn't matter when we multiply several numbers. The product is still the same.

Commutative Property
Symbols: a*b=b*a
Ex: 3*4=4*3
When we multiply any two numbers, we get the same product regardless of the order
Closure Property
Symbols: Real Number 1* Real Number 2= Real Number 3
Ex: 5*6=30
For any real number, the product of any two real numbers equals another real number
Identity Property
Symbols: A*1=A
Ex: 4*1=4
When we multiply any number by one, we get the same number
Zero Property
Symbols: A*0=0
Ex: 4*0=0
When we multiply any number by zero, the product is zero

Multiplication is repeated addition
Division and Multiplication
Multiplication is the inverse of division
Square Numbers
Ex: 2*2=4
2's Double
Ex:2*4=4+4=8
Four Structure
Ex: 4*7=2(2*7)
9's Pattern
Ex: 9*7=7*9=63
Finger Pattern
6+3=9

5's Pattern
Ex: 5*6=30
Half then Double
Ex:6*7=(3*7)=21*2
7's Structure
Ex:7*8=(5+2)*8
8's Structure
Ex: 8*5=[(5*2)*2]*2
Number Sense
Counting
Skip Counting

Joe has 5 trucks. Kade has 3 times as many.
How many does Kade have?
5
5
5
5
http://www.math-play.com/multiplication-games.html
http://www.coolmath-games.com/numbermonster/mult25.htm
http://www.multiplication.com/games/all-games
Counting from one to find product
Does not understand vocabulary
ex: groups of, multiply by
Do not connect ideas
Does not focus on rows or columns
Only sees arrays as a collection of 'ones'
Cannot apply knowledge of doubles
Does understand adding groups
Full transcript