CAMET Mathematics Curriculum (K–6)
Correlation to the Operations Developmental Map
Concept 1
Addition leads to a
total and subtraction
indicates what's
missing. Addition
and subtraction are
intrinsically related.
Phase 1
Phase 2
Phase 3
Phase 4
Phase 5
Beginner
Concrete
Whole Number Comfort
More Abstract
Flexible
Focus on Counting to Solve Problems
Formal Operations with Numbers to
20; Concrete Operations with
Numbers to 100
Formal Operations with Whole
Numbers; Concrete Operations with
Decimals
Fluency with Whole Number
Operations; Formal Operations with
Decimals
Fluency with Whole Number and
Decimal Operations; Concrete
Operations with Integers and Fractions
K: N B1 count the results
when small groups are
combined
Grade 1: N B3 recognize the
relationship between addition
and subtraction
Grade 2: N A9 recognize,
extend, and create simple
place-value patterns
K: N B2 count the results
when small groups are separated
Grade 1: N B4 recognize that
subtraction can be used to
solve missing addend problems
Grade 4: N B6 use models
informally to add simple
fractions with common
denominators
Grade 1: N B1 recognize that
addition is used to represent
the joining of two groups
Grade 1: N B5 recognize how
to use addition or subtraction
to solve comparison problems
Grade 2: N B3 demonstrate
an understanding that addition can be used to solve subtraction problems
Grade 4: N B1 add and subtract decimals involving
tenths and hundredths, and
whole numbers to five digits
Grade 4: N B12 solve and
create word problems
involving adding and
subtracting decimals
(to hundredths)
Grade 5: N B1 find sums and
differences involving decimals
to thousandths
Grade 1: N B2 recognize that
subtraction is used to represent separating situations
Grade 1: N B6 move freely
among representing an addition or subtraction situation
with a picture, a model, or a
number sentence
Grade 1: N B7 move freely
among representing an addition or subtraction situation
with a picture, a model, or a
number sentence
Grade 1: P C5 use number
patterns to help solve addition
and subtraction sentences
Grade 2: N B3 demonstrate
an understanding that addition can be used to solve subtraction problems
Grade 2: N B4 create word
problems involving addition
and subtraction
Grade 2: N B4 demonstrate
an understanding that addition can be used to solve subtraction problems and vice
versa
Grade 2: N B7 demonstrate
an understanding of basic
principles of addition
Grade 2: P C6 solve simple
open sentences involving
addition and subtraction facts
Grade 3: N B4 solve and
create problems involving
addition and/or subtraction
Grade 3: N B9 continue to
estimate in addition and subtraction situations
Grade 3: N B13 use technology to solve problems
involving larger numbers
Grade 2: N B5 develop and
apply strategies to learn addition and subtraction facts
Grade 2: N B7 demonstrate
an understanding of basic
principles of addition (Cont.)
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Grade 4: N B15 mentally
solve appropriate addition and
subtraction computations
Grade 4: N B17 use technology for computations
involving many decimal
places or large whole numbers
Grade 4: P C1 demonstrate
an understanding of the
relationship between adding
decimals and adding whole
numbers
Grade 4: P C3 use patterns to
solve computation problems
Grade 5: N B8 solve and
create addition and subtraction problems involving
whole numbers, decimal
numbers and combinations
of both
Grade 5: N B8 solve and
create addition and subtraction problems involving
whole numbers, decimal
numbers and combinations
of both
Grade 5: N B10 estimate sums
and differences involving
decimals to thousandths
Grade 6: N B5 add and
subtract simple fractions
using models
Grade 6: N B8 solve and
create relevant addition,
subtraction, multiplication
and division problems
involving decimals
Grade 6: N B11 calculate
sums and differences in
relevant contexts by using the
most appropriate method
Grade 6: P C9 demonstrate
an understanding of the use
of letters to replace open
frames
(Cont.)
Professional Resources and Instruction for Mathematics Educators, © 2005 Nelson, a division of Thomson Canada Limited
CAMET Mathematics Curriculum (K–6)
Correlation to the Operations Developmental Map (Cont.)
Phase 1
Phase 2
Phase 3
Phase 4
Phase 5
Beginner
Concrete
Whole Number Comfort
More Abstract
Flexible
Focus on Counting to Solve Problems
Formal Operations with Numbers to
20; Concrete Operations with
Numbers to 100
Formal Operations with Whole
Numbers; Concrete Operations with
Decimals
Fluency with Whole Number
Operations; Formal Operations with
Decimals
Fluency with Whole Number and
Decimal Operations; Concrete
Operations with Integers and Fractions
Grade 2: N B9 model and perform the addition of two
2-digit numbers, with and
without regrouping
Grade 4: P C4 understand
how a change in either a or b
in a b, a b, a b, or a⏐b
will affect the result of a
computation
Grade 4: N B2 demonstrate
an understanding of multiplication meanings, properties
and applications
Grade 5: N B9 solve and
create multiplication and
division problems involving
whole numbers, decimal
numbers and combinations
of both
Concept 1 (Cont.)
Addition leads to a
total and subtraction
indicates what's
missing. Addition
and subtraction are
intrinsically related.
Grade 2: N B10 model and
perform the subtraction of
two 2-digit numbers, with
and without regrouping
Grade 2: N B12 use technology to solve problems
involving sums or differences
of larger numbers
Grade 4: N B1 add and
subtract decimals involving
tenths and hundredths, and
whole numbers to five digits
Grade 2: P C6 solve simple
open sentences involving
addition and subtraction facts
Concept 2
Multiplication and
division are extensions
of addition and subtraction. Multiplication and
division are intrinsically
related.
Grade 2: N B1 recognize that
multiplication can be used to
determine the total amount in
groups of equal size
Grade 2: N B1 recognize that
multiplication can be used to
determine the total amount in
groups of equal size
Grade 2: N B2 recognize that
division can mean determining how many groups of a
fixed size are in a larger group
or representing fair sharing
Grade 2: N B2 recognize that
division can mean determining how many groups of a
fixed size are in a larger group
or representing fair sharing
Grade 2: N B5 solve and
create problems involving
multiplication and division
with small numbers
Grade 3: N B1 recognize
several meanings for
multiplication
Grade 3: N B2 recognize
several meanings for division
(Cont.)
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Grade 3: N B1 recognize
several meanings for
multiplication
Grade 3: N B2 recognize several meanings for division
Grade 3: N B3 recognize the
relationship between multiplication and division
Grade 3: N B5 solve and
create problems involving
multiplication and division
with small numbers
Grade 3: N B7 recognize principles of multiplication and
division
Grade 3: N B8 relate multiplication and division facts
(Cont.)
Grade 4: N B3 demonstrate
an understanding of the various meanings of division
Grade 4: N B10 demonstrate
an understanding of various
treatments of remainders in
division situations
Grade 4: N B11 solve and
create word problems
involving whole number
computations
Grade 4: N B16 mentally multiply 2-digit numbers by 10 or
100
(Cont.)
Grade 6: N B3 compute quotients of whole numbers and
decimals using up to 2-digit
whole number divisors
Grade 6: N B8 solve and
create relevant addition, subtraction, multiplication and
division problems involving
decimals
Grade 6: N B9 estimate products and quotients involving
whole numbers only, whole
numbers and decimals, and
decimals only
Professional Resources and Instruction for Mathematics Educators, © 2005 Nelson, a division of Thomson Canada Limited
(Cont.)
CAMET Mathematics Curriculum (K–6)
Correlation to the Operations Developmental Map (Cont.)
Concept 2 (Cont.)
Multiplication and
division are extensions
of addition and subtraction. Multiplication and
division are intrinsically
related.
Phase 1
Phase 2
Phase 3
Phase 4
Phase 5
Beginner
Concrete
Whole Number Comfort
More Abstract
Flexible
Focus on Counting to Solve Problems
Formal Operations with Numbers to
20; Concrete Operations with
Numbers to 100
Formal Operations with Whole
Numbers; Concrete Operations with
Decimals
Fluency with Whole Number
Operations; Formal Operations with
Decimals
Fluency with Whole Number and
Decimal Operations; Concrete
Operations with Integers and Fractions
Grade 3: P C 4 record a
repeated addition pattern
using multiplicative notation
Grade 3: P C5 recognize the
meaning of open sentences of
the form: a b ■,
a ■ c and ■ b c
Grade 4: P C2 apply the pattern identified when multiplying by increasing powers of
ten
Grade 6: P C9 demonstrate
an understanding of the use
of letters to replace open
frames*
Grade 4: N B2 demonstrate
an understanding of
multiplication meanings,
properties, and applications
Grade 4: P C6 complete open
sentences of the form
a b ■, a ■ c,
a b ■ and a ■ c
Grade 4: N B3 demonstrate
an understanding of the various meanings of division
Grade 5: N B5 find products
of single-digit whole
numbers and decimals to
hundredths
Grade 4: N B8 relate multiplication and division facts, using
principles of these operations
Grade 4: P C2 apply the pattern identified when multiplying by increasing powers of
ten
Grade 4: P C5 represent multiplication facts either in a
table or graphically
Grade 6: N B1 compute products of whole numbers and
decimals to thousandths
Grade 6: N B7 solve and
create relevant addition, subtraction, multiplication and
division problems involving
whole numbers
Grade 4: P C4 understand
how a change in either a or b
in a b, a b, a b, or a⏐b
will affect the result of a
computation
Grade 4: P C6 complete
open sentences of the form
a b ■, a ■ c,
a b ■ and a ■ c
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Professional Resources and Instruction for Mathematics Educators, © 2005 Nelson, a division of Thomson Canada Limited
CAMET Mathematics Curriculum (K–6)
Correlation to the Operations Developmental Map (Cont.)
Phase 1
Phase 2
Phase 3
Phase 4
Phase 5
Beginner
Concrete
Whole Number Comfort
More Abstract
Flexible
Focus on Counting to Solve Problems
Formal Operations with Numbers to
20; Concrete Operations with
Numbers to 100
Formal Operations with Whole
Numbers; Concrete Operations with
Decimals
Fluency with Whole Number
Operations; Formal Operations with
Decimals
Fluency with Whole Number and
Decimal Operations; Concrete
Operations with Integers and Fractions
Grade 2: N B5 develop and
apply strategies to learn addition and subtraction facts
Grade 3: N B6 add and subtract with and without
regrouping
Grade 5: N B1 find sums and
differences involving decimals
to thousandths
Grade 2: N B8 add 3 singledigit numbers
Grade 3: N B11 select and use
appropriate computational
techniques (including mental,
paper-and-pencil, and technological) in given situations
Grade 4: N B1 add and subtract decimals involving
tenths and hundredths, and
whole numbers to five digits
Concept 3
There are many
algorithms for
performing a given
operation.
Grade 2: N B9 model and
perform the addition of two
2-digit numbers, with and
without regrouping
Grade 2: N B10 model and
perform the subtraction of
two 2-digit numbers, with and
without grouping
Grade 4: N B4 multiply 2- or
3-digit numbers by single-digit
numbers concretely, pictorially and symbolically
Grade 4: N B5 divide 2- and
3-digit whole numbers by a
single-digit divisor
Grade 4: N B15 mentally
solve appropriate addition and
subtraction computations
Grade 4: N B15 mentally
solve appropriate addition and
subtraction computations
Grade 4: N B16 mentally
multiply 2-digit numbers by
10 or 100
Grade 5: P C4 rearrange factors to make multiplication
simpler
Grade 5: P C5 recognize and
explain how a change in one
factor affects a product or
quotient
Grade 5: N B14 divide numbers mentally when appropriate
Grade 5: N B15 multiply
whole numbers by 0.1, 0.01,
and 0.001 mentally
Grade 5: P C2 recognize and
explain the pattern in dividing
by 10, 100 and 1000 and in
multiplying by 0.1, 0.01 and
0.001
Grade 6: N B1 compute products of whole numbers and
decimals to thousandths
Grade 6: N B3 compute quotients of whole numbers and
decimals using up to 2-digit
whole number divisors
Grade 6: N B12 calculate
products and quotients in relevant contexts by using the
most appropriate method
Skill 1
Memorizes facts.
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Grade 1: N B8 memorize
simple addition and/or subtraction facts from among
those for which the total is 10
or less
Grade 2: N B6 recall addition
facts involving two addends,
each less than 10, and the
related subtraction facts
Grade 4: N B9 demonstrate a
knowledge of multiplication
facts to 9 9
Grade 3: N B8 relate multiplication and division facts
Professional Resources and Instruction for Mathematics Educators, © 2005 Nelson, a division of Thomson Canada Limited
CAMET Mathematics Curriculum (K–6)
Correlation to the Operations Developmental Map (Cont.)
Skill 2
Uses standard mental
math and estimation
procedures.
Phase 1
Phase 2
Phase 3
Phase 4
Phase 5
Beginner
Concrete
Whole Number Comfort
More Abstract
Flexible
Focus on Counting to Solve Problems
Formal Operations with Numbers to
20; Concrete Operations with
Numbers to 100
Formal Operations with Whole
Numbers; Concrete Operations with
Decimals
Fluency with Whole Number
Operations; Formal Operations with
Decimals
Fluency with Whole Number and
Decimal Operations; Concrete
Operations with Integers and Fractions
Grade 1: N B7 move freely
among representing an addition or subtraction situation
with a picture, a model, or a
number sentence
Grade 2: N B7 demonstrate
an understanding of basic
principles of addition
Grade 2: N B7 demonstrate
an understanding of basic
principles of addition
Grade 3: N B10 begin to estimate in multiplication and
division situations
Grade 4: N B16 mentally multiply 2-digit numbers by 10 or
100
Grade 2: N B11 estimate the
sum or difference of two
2-digit numbers
Grade 3: N B9 continue to
estimate in addition and subtraction situations
Grade 4: N B13 estimate sums
and differences of whole
numbers and decimals
Grade 5: N B11 estimate
products and quotients of two
whole numbers
Grade 3: N B12 mentally
add and subtract rounded
numbers
Grade 4: P C2 apply the pattern identified when multiplying by increasing powers of
ten
Grade 4: N B14 estimate the
product or quotient of 2- or
3-digit numbers and singledigit numbers
Grade 5: N B12 estimate
products and quotients of
decimal numbers by singledigit whole numbers
Grade 4:N B15 mentally solve
appropriate addition and subtraction computations
Grade 4: N B16 mentally multiply 2-digit numbers by 10 or
100
Grade 5: N B13 perform
appropriate mental multiplications
Grade 4: P C2 apply the pattern identified when multiplying by increasing powers of
ten
Grade 5: N B14 divide numbers mentally when appropriate
Grade 5: N B10 estimate sums
and differences involving decimals to thousandths
Grade 5: N B11 estimate
products and quotients of
two whole numbers
Grade 5: N B15 multiply
whole numbers by 0.1, 0.01,
and 0.001 mentally
Grade 5: P C2 recognize and
explain the pattern in dividing
by 10, 100 and 1000 and in
multiplying by 0.1, 0.01 and
0.001
Grade 6: N B9 estimate products and quotients involving
whole numbers only, whole
numbers and decimals, and
decimals only
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Professional Resources and Instruction for Mathematics Educators, © 2005 Nelson, a division of Thomson Canada Limited
CAMET Mathematics Curriculum (K–6)
Correlation to the Operations Developmental Map (Cont.)
Skill 3
Computes using pencil
and paper with whole
numbers and decimals,
without the aid of a
calculator.
Phase 1
Phase 2
Phase 3
Phase 4
Phase 5
Beginner
Concrete
Whole Number Comfort
More Abstract
Flexible
Focus on Counting to Solve Problems
Formal Operations with Numbers to
20; Concrete Operations with
Numbers to 100
Formal Operations with Whole
Numbers; Concrete Operations with
Decimals
Fluency with Whole Number
Operations; Formal Operations with
Decimals
Fluency with Whole Number and
Decimal Operations; Concrete
Operations with Integers and Fractions
Grade 2: N B8 add 3 singledigit numbers
Grade 2: N A5 describe
numbers in a variety of ways
Grade 4: N B1 add and subtract decimals involving
tenths and hundredths, and
whole numbers to five digits
Grade 5: N B6 divide decimal
numbers by single-digit whole
numbers
Grade 3: N B6 add and
subtract, with and without
regrouping
Grade 4: N B4 multiply 2- or
3-digit numbers by single-digit
numbers symbolically
Grade 4: N B5 divide 2- and
3-digit whole numbers by a
single-digit divisor
Grade 5: B1 find sums and
differences involving decimals
to thousandths
Grade 5: N B2 multiply 2-,
3- and 4-digit whole numbers
by 1-digit whole numbers
Grade 5: N B1 find sums and
differences involving decimals
to thousandths
Grade 6: N B3 compute quotients of whole numbers and
decimals using up to 2-digit
whole numbers and decimals
Grade 5: N B3 find the
product of two 3-digit whole
numbers
Grade 5: N B4 divide 2-,
3- and 4-digit whole numbers
by single-digit whole divisors
Grade 5: N B5 find products
of single-digit whole numbers
and decimals to hundredths
Grade 6: N B1compute products of whole numbers and
decimals to thousandths
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Professional Resources and Instruction for Mathematics Educators, © 2005 Nelson, a division of Thomson Canada Limited