Math Student Expectations
Grade
____Patterns and Relations____
_______________________________Number Sense______________________________________
Counting
Number order
Skip counting
Multiples
1
Count by 1s, 5s, 10s to 100
starting at 0.
Count by 2s to 20.
Count backwards 20 to 0.
Understanding
Number
To 20
Place value
Compare
Estimate
Represent
Recognize arrangements
of 1 to 10 objects at a
glance. (Subitize)
Adding &
Subtracting
To 20
Mental math
Use referencing
Numbers can be made in
different ways. (ex: 9 can
be 8+1. 7+2, 6+3 etc).
±1, ±2 of any number to 20
10 combos & doubles
2
Count by 2s, 5s, 10s
forwards & backwards to
100 with start points that
are multiples of 2, 5 & 10.
Count by 2s (starting at 1)
By 10s (starting anywhere)
To 100
Odd or even.
4
5
6
To 10 000
Down to hundredths
To 1 000 000
Down to thousandths
Greater than 1 000 000
Less than thousandths
Estimate sums and
differences. Use rounding
and compensation.
Apply Estimation
strategies to problem
solving. Front end rounding.
Integers on a number line
To 1000 using 3 & 4 digit
numbers.
To 1 000 000
Order of operations (no
exponents)
Compare using <, >, =
± decimals to thousandths
What happens when you
+ or – zero.
Build on 10s & doubles to
add any number
Repeated
addition
Grouping
Arrays
Multiples
Create and solve ±
problems in context.
Add left to right.
Reference ten or doubles.
± decimals to hundredths.
Up to 5x5
Facts to 9x9
Explain multiplication
using grouping & arrays.
Understand multiply 0 & 1.
Understand factors,
multiples, prime and
composite numbers
2 or 3 digit multiplied by a
1-digit number.
2 digit divided by 1 digit.
Understand dividing by 1.
Multiply decimals by a 1
digit whole number.
Factors of numbers less
than 100.
Understand what division
is and relate it to
multiplication facts.
Division
Fractions
Recognize
Describe
Create
Extend
Mathematical
patterns
Algebra
Equality
Inequality
Recognize
Linear equations
Variables
Count by 5s, 10s, 100s
with random start points
to 1000.
To 1000
Estimate quantities less
Estimate to100 use referents. than 1000 using referents.
Referent is a known quantity
Arrange and order
Commutative property- Ex
numbers (to tenths).
(3+9=9+3) order not matter
To 100 using 1, 2 digit
To 1 000 using 1, 2, 3 digit
numbers
numbers
Multiplication
Patterns
3
Count by 3s, 4s, 25s
starting on a multiple of
the number to 1000.
Understand fractions.
Where they are used and
compare fractions with
like denominators.
Increasing patterns
(numbers to 1000)
Solving problems using
whole & decimal numbers
Use strategies like repeated Skip count from known
Distributive property. Ex:
doubling or halving.
facts. Annexing then add 0 12x4 = (10x4) + (2x4)
Relate multiplication and
division. (15÷5 = x5=15)
Fractions less than or
equal to 1.
Compare & order fractions
Relate fraction & decimals
Patterns & relationships in
tables & charts.
Repeating patterns (2 to 4
elements).
Repeating patterns (3 to 5
elements).
Change patterns from
one representation to
another.
AB AB -> red blue red blue
Understand Balance and
imbalance.
Increasing patterns
(numbers to 100).
Decreasing patterns
Identify & extend patterns
in tables & charts. (Carroll
and venn diagrams)
Equality and Inequality
using = and ≠.
Solve one step ± problem
with a symbol as the
unknown.
Record equalities using =.
Concretely & pictorially
(3 + ▲ = 10)
Write a problem (±, ×, ÷)
as an equation with an
unknown. Use guess and
check to solve.
(36 ÷ = 6)
2 digit multiplied by 2 digit
numbers.
3 digit divided by 1 digit.
Interpret remainders and
express as a fraction or
decimal.
Equivalent fractions
Relate decimals to
fractions and fractions to
decimals. (to thousandths)
Find the pattern rule
Representing and
describing patterns using
mathematical language
including variables. (Ex.
One more = r+1)
Solve and express onestep equations with a
letter variable. Whole
number coefficients and
solutions. (36 ÷ n = 6)
Divide a decimal number
by a 1 digit number.
Improper and mixed
fractions.
Understand Ratio &
Percentage.
Use the relationship in a
table to solve problems.
Create a mathematical
expression for a pattern.
(Ex. 2n+1 = pattern that
doubles and adds one.)
Represent rules as an
equation with a letter
variable.
Preservation of equality.
(Balance equations)
_______Stats and probability_______
______________________Shape and Space_____________________________
Math Student Expectations
Grade
Measurement
Spatial sense
Measure &
Record
Appropriateunits
(Angles
Perimeter
Area
Volume
Time)
1
Measurement by
comparing (no units)
3D objects and
2D Shapes
Represent &
Interpret
Relationships
between
shapes/ objects
2
Know days in a week,
months in a year and
apply to problem solving.
Compare and order
objects. (Length, Height,
weight, distance, etc.)
Measure & record length,
height, mass (weight)
using (cm & m) (g & kg)
Measure using nonstandard units.
Perimeter of regular and
irregular shapes.
Sort 3D objects and 2D
shapes (one attribute).
Sort 3D objects and 2D
shapes (two attributes).
Describe 3D objects using
faces, edges, & vertices.
Replicate 2D shapes and
3D objects.
3D objects: Cube, sphere,
cone, cylinder, pyramid.
Compare 2D shapes as
parts of 3D objects.
2D shapes: triangle,
square, rectangle, circle.
Sort regular and irregular
polygons including
triangles, quadrilaterals,
pentagons, hexagons,
octagons according to
number of sides.
Reflect on
Environment
Transformations
Describe &
Analyze
Position &
Motion of
Objects &
Shapes
Identify 2D shapes as parts
of 3D objects.
Data analysis
Collect
Display
& Analyze data
to solve
problems
Gather and record data
about self and others.
Chance and
Uncertainty
Use Theoretical
or Experimental
probabilities to
represent &
solve problems
3
Seconds in a minute.
Minutes in an hour.
Days in a month.
4
Read and record time on
clocks. (Digital & analog)
Read and record
calendar dates.
Area of regular and
irregular shapes using cm2
and m2.
Explore different shapes
with same area.
(Congruent shapes
are the same size & area.)
Line of Symmetry
Construct and interpret
graphs and pictographs.
Create bar graphs.
Understand Many-to-one
correspondence on bar
graphs and pictographs.
6
Classify angles (acute,
obtuse, right, reflex, straight)
Create rectangles given
area, perimeter, or both.
Relationship between
mm, cm, & m.
Volume using cm3 & m3.
Measure capacity mL & L.
Describe and create
Parallel, intersecting,
rectangular and triangular perpendicular, vertical,
prisms.
horizontal sides/edges of
2D shapes and 3D
Construct 3D shapes from objects.
their nets. (Nets are the 3D
shape unfolded.)
Quadrilaterals (rectangle,
square, rhombus,
parallelogram, trapezoid)
Understand congruency.
Concrete & Pictorial.
Collect first-hand data
and organize it using tally
marks, line plots, charts,
and lists.
5
Identify 90° angles
Angle degrees 45, 90, 180.
Sums of Interior angles
quadrilaterals sum to 360°
and triangles to 180°.
Develop and apply
formula for perimeter,
area and volume.
Triangles (scalene,
isosceles, equilateral,
right, obtuse, acute).
Compare angles and
sides of regular and
irregular polygons.
(Regular polygons have
congruent sides & angles,
for example a square.)
Perform and identify single Identify and plot points on
transformations of 2D
the Cartesian plane.
shapes. (translation,
(1st quadrant only)
rotation, reflection)
Perform transformations of
2D shapes on the
Cartesian plane. (Whole
number vertices)
st
nd
1 and 2 hand data.
Line graphs (discrete &
continuous data).
Double bar graphs.
Collect & graph data
using questionnaires,
experiments, databases,
and electronic media.
Likelihood of an event
Understand probability
(impossible, possible,
 Identify all possible
certain).
outcomes for an
experiment.
Likelihood of two
 Compare
consecutive events
experimental results
occurring. Less, more, or
with the theoretical
equally likely.
probability.