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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
Repeated Addition
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
Repeated Addition Problems
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

Addition and Multiplication
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
Single Digit Addition

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