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Multiplication: More Than Repeated
Addition and Times Tables
Northwest Mathematics Conference
Whistler, BC  October 2024
Chris Hunter
K-12 Numeracy Helping Teacher
Surrey Schools
email: hunter_c@surreyschools.ca
Twitter: @ChrisHunter36
blog: chrishunter.ca
Chris Hunter
President
BCAMT
email: bcamt@bctf.ca
Twitter: @BCAMT
website: bcamt.ca
How do you
see them?
How many do
you see?
chrishunter.ca
No matter what grade you teach,
even high school, so-called dot
cards (which may or may not have
dots) are a great way to start your
students on the path to
mathematical reasoning. We say
this because, from experience, we
have realized that with dot cards,
students only need to describe what
they seeand people have many
di
ff
erent ways of seeing!
ntimages.weebly.com
Ca-Lishea served at the Houston Food
Bank by putting together food boxes that
go to senior citizens. Each box contains 26
meals. The boxes are loaded onto a pallet
that holds 45 boxes. How many meals are
there on the pallet?
numberlesswp.com
71
When youre a grown-up, nobody says
Please multiply these numbers.
You have to know when to do it.
Thats all that actually matters when youre a
big person.
Marian Small OAME2024
The operations of addition,
subtraction, multiplication,
and division hold the same
fundamental meanings
no matter the domain in
which they are applied.
What does
multiplication mean?
What does
look like?
3  4
 Repeated Addition
 Equal Groups or Sets
 Array
 Area of a Rectangle
 Comparison
 Rate
 Combinations
Meanings
4 + 4 + 4
 Repeated Addition
 Equal Groups or Sets
 Array
 Area of a Rectangle
 Comparison
 Rate
 Combinations
Meanings
 Repeated Addition
 Equal Groups or Sets
 Array
 Area of a Rectangle
 Comparison
 Rate
 Combinations
Meanings
 Repeated Addition
 Equal Groups or Sets
 Array
 Area of a Rectangle
 Comparison
 Rate
 Combinations
Meanings
 Repeated Addition
 Equal Groups or Sets
 Array
 Area of a Rectangle
 Comparison
 Rate
 Combinations
Meanings
 Repeated Addition
 Equal Groups or Sets
 Array
 Area of a Rectangle
 Comparison
 Rate
 Combinations
Meanings
 Repeated Addition
 Equal Groups or Sets
 Array
 Area of a Rectangle
 Comparison
 Rate
 Combinations
Meanings
 Repeated Addition
 Equal Groups or Sets
 Array
 Area of a Rectangle
 Comparison
 Rate
 Combinations
Meanings
A B C D
A B C D
A B C D
A B C D
R
G
B
Multiplication -- More Than Repeated Addition and Times Tables
3 + 3 + 3 + 3 + 3
5  3
5 + 5 + 5
3  5
5  3 3  5
You can multiply numbers in any order.
5  3 3  5
You can multiply numbers in any order.
5  3 3  5
You can multiply numbers in any order.
6  7
You can multiply in parts.
6  (5 + 2)
You can multiply in parts.
6  5 + 6  2
You can multiply in parts.
6  7
You can multiply in parts.
(2  3)  7
You can multiply in parts.
2  (3  7)
You can multiply in parts.
Christopher Danielson
Multiplication -- More Than Repeated Addition and Times Tables
7x9
9x7
Automatic
Recall
Conceptual
Understanding
Strategic
Reasoning
Multiplication -- More Than Repeated Addition and Times Tables
7  9
Skip
Counting
9, 18, 27,

7  9
Derived
Facts
Skip
Counting
7  10  7  1
9, 18, 27,

7  9
Derived
Facts
Known
Facts
Skip
Counting
63
7  10  7  1
9, 18, 27,

7  9
Derived
Facts
Skip
Counting
7  10  7  1
9, 18, 27,

7  9
Derived
Facts
Known
Facts
Skip
Counting
63
7  10  7  1
9, 18, 27,

7  9
Skip
Counting
9, 18, 27,

7  9
Derived
Facts
Skip
Counting
7  10  7  1
9, 18, 27,

7  9
Derived
Facts
Known
Facts
Skip
Counting
63
7  10  7  1
9, 18, 27,

7  9
berkeleyeverett.com
berkeleyeverett.com
7  9
7  19
7  49
7  99
7  199
Simply defined, number
talks are five to fifteen
minute classroom
conversations around
purposely crafted
computation problems
that are solved mentally.
8  6
8  60
8  59
8  0.1
8  6.1
8  5.9 mathis
fi
gureoutable.com
youcubed.org
g
fl
etchy.com
25
32
g
fl
etchy.com
apps.mathlearningcenter.org/partial-product-
fi
nder/
chrishunter.ca
The operations of addition,
subtraction, multiplication,
and division hold the same
fundamental meanings
no matter the domain in
which they are applied.
6x2
+ 6x + 15x + 10 =
(2x)(3x) + (2x)(2) + (5)(3x) + (5)(2) = (2x + 5)(3x + 2)
6x2
+ 21x + 10
2x
5
2
3x
Today, you and your
partner are going to
count a collection,
fi
gure out how many you
have in your collection,
and show me a picture
of how you counted.
Multiplication -- More Than Repeated Addition and Times Tables
3 + 4  5
3 + 4  5
5 + 3  6
4  6  1
12
18
24
6
9
2
7
3
6
4
3
4
4
4
Cathy Marks Krpan
12 24
4 4 4 4 4 4
8 8 8
2 2 2 2 2 2 2 2 2 2 2 2
sembl.app
sembl.app
sembl.app
sembl.app
sembl.app
# of Packs # of Sticks
1 12
2 24
4 48
8 96
10 120
9 108
mathis
fi
gureoutable.com
chrishunter.ca
ON COOL CYBORG LEGS.
WHO WEARS TERRIFIC BOOTS.
WHO SUCKS AT DANCING.
WEARING SPOOKY CAT FEET.
IN BUSINESS ATTIRE
MADE OF MEAT AND PAIN
A UNI PUG
A SPACE LOBSTER
A (HANDSOME) SALMON
Multiplication -- More Than Repeated Addition and Times Tables
ON COOL CYBORG LEGS.
WHO WEARS TERRIFIC BOOTS.
WHO SUCKS AT DANCING.
WEARING SPOOKY CAT FEET.
ON COOL CYBORG LEGS.
WHO WEARS TERRIFIC BOOTS.
WHO SUCKS AT DANCING.
WEARING SPOOKY CAT FEET.
ON COOL CYBORG LEGS.
WHO WEARS TERRIFIC BOOTS.
WHO SUCKS AT DANCING.
WEARING SPOOKY CAT FEET.
ON COOL CYBORG LEGS.
WHO WEARS TERRIFIC BOOTS.
WHO SUCKS AT DANCING.
WEARING SPOOKY CAT FEET.
ON COOL CYBORG LEGS.
WHO WEARS TERRIFIC BOOTS.
WHO SUCKS AT DANCING.
WEARING SPOOKY CAT FEET.
ON COOL CYBORG LEGS.
WHO WEARS TERRIFIC BOOTS.
WHO SUCKS AT DANCING.
WEARING SPOOKY CAT FEET.
IN BUSINESS ATTIRE
MADE OF MEAT AND PAIN
IN BUSINESS ATTIRE
MADE OF MEAT AND PAIN
IN BUSINESS ATTIRE
MADE OF MEAT AND PAIN
A UNI PUG
A SPACE LOBSTER
A (HANDSOME) SALMON
 Repeated Addition
 Equal Groups or Sets
 Array
 Area of a Rectangle
 Comparison
 Rate
 Combinations
Meanings
Chris Hunter
K-12 Numeracy Helping Teacher
Surrey Schools
email: hunter_c@surreyschools.ca
Twitter: @ChrisHunter36
blog: chrishunter.ca

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Mate, a short story by Kate Grenvile.pptx
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Liny Jenifer
APM People Interest Network Conference - Tim Lyons - The neurological levels ...
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Association for Project Management
Storytelling instructions...............
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Alexander Benito
Modeling-Simple-Equation-Using-Bar-Models.pptx
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maribethlacno2
English 4 Quarter 4 Week 4 Classroom Obs
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NerissaMendez1
Eng7-Q4-Lesson 1 Part 1 Understanding Discipline-Specific Words, Voice, and T...
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sandynavergas1
How to Configure Flexible Working Schedule in Odoo 18 Employee
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Adventure Activities Final By H R Gohil Sir
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GUJARATCOMMERCECOLLE

Multiplication -- More Than Repeated Addition and Times Tables