Basic Multiplication and Division
K
1
Repeated
Content
addition
2
3
4
5
6
Multiplication/
Division
Multiplication/
Division
Multiplication/
Division
Multiplication/
Division
-Demonstrate,
explain, model
multiplication
of 2 digit
numbers (with
1 digit
multiplier)
with and
without
regrouping
-Demonstrate,
explain, model
simple
division
problems (135
divided 5)
-Demonstrate,
explain
relationship
between
multiplication
and division
(inverse)
-Demonstrate,
explain, model
associative,
commutative
property of
multiplication
-Demonstrates
and produces
common
factors &
multiples of
whole
numbers
-Product,
quotient,
factors,
multiples
-Recognize
and recall
basic
multiplication
facts with
fluency
-Recognize
Multiplication/
Division of
fractions and
decimals
-Demonstrate,
explain, and
model that a
fraction is a
division
problem
-Demonstrate,
explain, and
model
multiplication
by a 2 digit
number, and
division by a 1
digit number
with and
without
remainders
-Demonstrate,
explain, and
model the
identity, zero,
and
distributive
properties of
multiplication
-Explain by
modeling the
steps needed to
solve
multiplication
problems up to
2 and 3 digits
-Explain by
modeling the
steps needed to
solve division
problems with
2 digit divisors
with and
without
remainders as
fractions
-Multiply
mixed
numbers
-Convert from
ratio, percent,
fractions, and
decimals
-Solve
proportions
-Express
remainder as a
decimal
-Divide mixed
numbers
-Calculate
percent to solve
problems in
real world
situations
-Divide,
multiply
rational
numbers using
the rules of
exponents
-Calculate
percents of
increase/
decrease in real
world situations
-Multiplication
and division of
integers in real
world situations
-Divisor,
remainder,
dividend,
multiplier,
multiplicand,
distributive
identity, zero
properties of
multiplication
-Demonstrates
an
-Demonstrate
an
understanding
of the steps
needed to
solve
multiplication
problems up to
2 and 3 digits
-Demonstrate
an
-Proportions
-Multiply
fractions
-Identify the
relationship
between ratio,
percent,
fractions, and
decimals
-Identify
proportions
-calculate,
percent of
increase/decrea
se, sales tax,
commission,
mark-up
-Divide
fractions
-Calculate
percent to solve
problems
Complex
-Explaining
and modeling
basic
processes of
repeated
addition.
-Use concrete
materials to
investigate
situations that
relate to
multiplication
and division
(equal groups,
share equally)
-Explains,
models and
solves simple
multiplication
and division
problems
-Model and
explain
notational
representations
(4x5=20, 4
groups of 5
equals 20)
Simple
-Repeated
addition,
sharing
-Demonstrate
and
understand the
basic
processes of
repeated
addition.
-Use concrete
multiplication,
division,
rectangular
array
-Demonstrates
an
understanding
of simple
multiplication
and division
problems
7
8
Basic Multiplication and Division
materials to
investigate
situations that
relate to
multiplication
and division
(equal groups,
share equally)
-Demonstrates
an
understanding
of notational
representations
(4x5=20, 4
groups of 5
equals 20)
and recall
basic division
facts with
fluency
-Demonstrate
an
understanding
of the
relationship
between
multiplication
and division
(inverse)
-Demonstrate
an
understanding
of associative,
commutative
property of
multiplication
-Identify
common
factors &
multiples of
whole
numbers
understanding
that a fraction
is a division
problem
-Demonstrate
an
understanding
of
multiplication
by a 2 digit
number, and
division by a 1
digit number
with and
without
remainders
-Identity, zero,
and
distributive
properties of
multiplication
-Identify the
identity, zero,
and
distributive
properties of
multiplication
understanding
of the steps
needed to
solve division
problems with
2 digit divisors
with and
without
remainders as
fractions
-Express
remainder as a
fraction
-Identify and
recall the rules
of exponents
-Calculate
percents of
increase/
decrease
-Multiplication
and division of
integers