Learning Objectives

Grade

The student should be able to:

N-1 recognize that all whole number quantities are compositions of other smaller quantities

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N-2 recognize that adding one quantity to another increases the total

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N-3 recognize that subtracting one quantity from another decreases the total

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N-4 recognize that partitioning a quantity does not change the total quantity

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N-5 recognize that one and only one number can be assigned to represent a quantity

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N-6 recognize that not all numerals represent quantities

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N-7 recognize that two quantities can be made equal by

a) adding or subtracting a quantity

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b) adjusting both quantities

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N-8 recognize that the number representing a quantity is independent of the characteristics of the objects or the configuration of the quantity

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N-9 recognize that quantities can be ordered according to the numbers assigned to represent each quantity

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N-10 recognize that if a quantity is partitioned into two then either sub-quantity can be determined given the other and the total quantity

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N-11 recognize, demonstrate, and explain patterning of numbers, objects, and events

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N-12 identify one or more characteristics of an object or an event

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N-13 demonstrate and explain classification (sorting) of data, objects, or events by

a) finding all which correspond to a single specified property

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b) arranging all into groups of different properties

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c) arranging them in different ways

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d) using set intersection

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N-14 demonstrate and explain seriation (ordering) of objects or events by using commonly seen attributes

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N-15 demonstrate and explain correspondence (matching) by using

a) one to one matching

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b) one to many correspondence

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c) many to many correspondence

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N-16 compare sets using the phrases "more than", "less than", "equal to"

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Learning Objectives

Grade

The student should be able to:

N-17 recognize that the last counted number represents the quantity

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N-18 recognize the purposes of counting

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N-19 count forward and backward by ones using any starting or ending point up to

a) 100

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b) 1000

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N-20 skip count forward and backward by

a) 2's, 5's, and 10's to 100

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b) 3's, 4's, 25's, 100's

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c) 6's, 9's

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d) 7's, 8's

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N-21 use ordinals to describe and order an arrangement

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N-22 understand and use the terms "the number before", "the number after", "the number between", "odd", and "even"

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N-23 recognize quantities up to 5 by visual inspection (not counting)

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N-24 gain an understanding of the role of approximate numbers

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N-25 use the terms "about", "near", "close" to compare numbers

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a) using referents or benchmarks

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b) focusing on more than one attribute

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c) partitioning into equal parts

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Learning Objectives

Grade

The student should be able to:

N-27 understand that the digits 0-9 are used to form all other numbers

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N-28 group by

a)10's and 1's

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b) 100's, 10's, and 1's

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c) 1000's, 100's, 10's, and 1's

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d) 10 000's, 1000's, 100's, 10's, and 1's

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N-29 read, write the symbols for, and express orally, numerals less than

a) 100

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b) 1000

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c) 10 000

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d) 100 000

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e) 1 000 000

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N-30 read words for numerals

a) to 10

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b) to 20

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c) to 100

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d) to 1000

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e) beyond 1000

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N-31 write the numerals for a given model/picture and make a model/picture for a given numeral less than

a) 100

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b) 1000

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c) 10 000

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N-32 understand the place value positions as increasing powers of ten to

a) 3 digits

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b) 4 digits

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c) 5 digits

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d) 6 digits

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N-33 understand that each digit of a number represents the product of the digit and the appropriate power of ten to

a) 3 digits

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b) 4 digits

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c) 5 digits

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d) 6 digits

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N-34 understand that the quantity represented by a multi-digit numeral is the sum of the quantities represented by each digit to

a) 2 digits

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b) 3 digits

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c) 4 digits

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d) 5 digits

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e) 6 digits

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N-35 compare and/or order numbers by

a) using a number line

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b) using place value

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N-36 understand that large numbers are arranged into groups of three digits when written and expressed verbally

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N-37 understand that a decimal point is placed between the units digit and the tenths digit and uses the term "and" when read

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N-38 write equivalent expressions for a number

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Learning Objectives

Grade

K

1

2

3

4

5

The student should be able to:

N-39 recognize and solve a variety of problems involving addition

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N-40 demonstrate addition by joining sets using manipulatives

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N-41 reason out sums and solve problems by applying the following mental calculation strategies

a) counting on from the larger addend

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b) recalling a doubles combination

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c) counting on in steps larger than a unit

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d) building on a known double

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e) using addition tables

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g) counting on from a known sum

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h) making tens

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i) building on a known sum of ten

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j) making fives

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k) annexing zeros

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l) recalling neighbouring numbers

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m) using left to right

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n) adding 8's and 9's

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o) compensating

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N-42 read, write, and solve open number sentences using +, =, and __

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N-43 understand and use the terms

a) add, plus

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b) sum, total

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c) addend

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N-44 use manipulatives, pictures, or a number line to calculate sums

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N-45 demonstrate and record various compositions of a given number

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N-46 perform addition displayed in horizontal and vertical format

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N-47 calculate sums by using addition algorithms with

a) addends containing 2 digits

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b) addends containing 3 digits

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c) addends containing 4 digits

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N-48 estimate a sum by

a) adding front end digits

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b) compensating

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c) using compatible numbers

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d) using special numbers

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e) clustering

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f) rounding

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N-49 determine and use the most appropriate method(s) to find sums in problem solving situations

a) computational estimation

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b) standard algorithms

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c) mental computation

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d) calculator

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N-50 use subtotals to calculate a sum

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Learning Objectives

Grade

K

1

2

3

4

5

The student should be able to:

N-63 recognize and solve a variety of problems involving multiplication

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N-64 demonstrate multiplication by using manipulatives, pictures, and repeated addition

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N-65 reason out products and solve problems by applying the following mental calculation strategies

a) skip counting

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b) multiplication tables and patterns

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d) annexing zeros

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e) additive distribution

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f) subtractive distribution

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g) factoring one factor

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h) repeated doubling

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i) using left to right

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j) halving and doubling

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N-66 understand and use the terms

a) groups of

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b) times, multiply

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c) product, factor

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d) multiplier, multiplicand

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e) multiplies

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N-67 find products by using arrays of number lines

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N-68 read, write, and solve open number sentences using x, =, and __

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N-69 mentally find products using as a factor

a) 10, 100, 1000

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b) multiples of 10, 100, and 1000

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N-70 estimate a product by

a) multiplying front end digits

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b) compensating

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c) using special numbers

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d) rounding

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N-71 use multiplication algorithms, involving a single digit multiplier, to find products

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N-72 calculate the product by using more than two factors

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N-73 express for a given number

a) multiples

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b) all the factors

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N-74 determine and use the most appropriate method(s) to find products in problem solving situations

a) computational estimation

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b) standard algorithms

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c) mental computation

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d) calculator

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Learning Objectives

Grade

K

1

2

3

4

5

The student should be able to:

N-75 recognize and solve a variety of problems involving division

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N-76 demonstrate division as

a) sharing

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b) forming equal groups

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N-77 reason out quotients and solve problems by applying the following mental calculation strategies

a) repeated subtraction

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b) applying multiplication to division

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c) annexing zeros

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d) divisive distribution

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e) halving

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N-78 understand and use the terms

a) divide, left over, remainder

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b) divisor, dividend, quotient

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N-79 find quotients by using manipulatives, pictures, and a number line

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N-80 estimate a quotient by

a) using the front end digits

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b) compensating

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c) using special numbers

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d) using compatible numbers

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e) rounding

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N-81 use division algorithms, involving a single digit divisor, to find quotients

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N-82 verify a quotient by using

a) repeated subtraction

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b) multiplication

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N-83 write related multiplication and division sentences

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N-84 read, write, and solve open number sentences using /,, =, and __

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N-85 use mental calculation to find quotients using as a divisor

a) 10

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b) 100, 1000

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N-86 determine and use the most appropriate method(s) to find quotients in problem solving situations

a) computational estimation

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b) standard algorithms

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c) mental computation

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d) calculator

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Learning Objectives

Grade

K

1

2

3

4

5

The student should be able to:

N-87 compare the size of fractions by using a variety of manipulatives and materials

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N-88 use manipulatives, when sharing, to develop the concept of fraction

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N-89 demonstrate by using manipulatives and pictures, the concept of fraction as

c) a point on a number line

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N-90 demonstrate by using correct symbols, the concept of fraction for

a) halves, thirds, fourths

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b) n/d; n10, d10

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N-91 understand that fractions represent partitioning into equal-sized parts of the whole

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N-92 demonstrate equivalent fractions by

a) using manipulatives and pictures

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b) multiplying/dividing

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c) expressing a fraction in simplest terms

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N-93 understand the relationships between the concrete, pictorial, verbal, and symbolic representations of

a) fractions

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b) mixed numbers

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N-94 use manipulatives, pictures, and symbols to order fractions

a) having like denominators

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b) having like numerators

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c) having the same number of pieces less or more than a unit

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d) by comparing to one-half or a unit

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N-95 understand and use the terms

a) numerator, denominator, equivalent fractions

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b) simplified fractions

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N-96 convert to a decimal fraction (vice versa), a common fraction with a denominator of

a) 2, 10

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b) factors of 100

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c) non-factors of 100 (approximation)

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N-97 use manipulatives and pictures to solve problems involving addition and subtraction of fractions with

a) like denominators

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b) compatible unlike denominators

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Learning Objectives

Grade

K

1

2

3

4

5

The student should be able to:

N-98 recognize and solve problems involving addition and subtraction of decimal fractions

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N-99 determine the size of a decimal fraction by comparing it to a benchmark

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N-100 understand the relationship of common fractions to decimal fractions for

a) 10ths

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b) 100ths

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N-101 illustrate decimal fractions by using models and diagrams

a) 10ths

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b) 100ths

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N-102 order decimal fractions by using

a) manipulatives or pictures

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b) position of the digit

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N-103 generate pattens using decimal fractions

a) 10ths

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b) 100ths

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N-104 express decimal fractions in words and numerals

a) 10ths

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b) 100ths

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N-105 compare any two decimal numbers greater than or less than one using

a) 10ths

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b) 100ths

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N-106 use manipulatives and pictures to illustrate addition and subtraction of decimal fractions

a) 10ths

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b) 100ths

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N-107 use mental calculation strategies to estimate sums and differences of decimal fractions

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N-108 add and subtract decimal fractions by aligning similar place value columns

a) 10ths

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b) 100ths

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N-109 recognize and solve problems involving the multiplication of a decimal fraction

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N-110 use models and diagrams to illustrate multiplication of decimal fractions by a single digit whole number

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N-111 use mental calculation strategies to estimate the product of a decimal fraction and a single digit whole number

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N-112 multiply a decimal fraction by a single digit whole number

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N-113 use estimates when multiplying to place the decimal point

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N-114 recognize and solve problems involving the division of a decimal fraction

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N-115 use manipulatives and pictures to illustrate division of a decimal fraction by a single digit whole number

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N-116 use mental calculation strategies to estimate the quotient when dividing a decimal fraction by a single digit whole number

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N-117 divide a decimal fraction by a single digit whole number

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N-118 determine and use the most appropriate method(s) to find answers to problems involving decimal fractions

a) computational estimation

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b) standard algorithms

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c) mental computation

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d) calculator

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