· Represent and use #s to 10,000
· Demonstrate multiple ways to represent #s
· Order/compare on # line
· Use <, >, =, and ≠
ADDITION/SUBTRACTION
· Write story problems & # sentences w/ real-life context
· Use estimation, mental math, and strategies
· Add/sub 3-digit and 4-digit
· Sum/difference using monetary amounts, compensation, partial sums
PLACE VALUE
· Represent and use #s to 10,000
· Write in standard/expanded form
· Identify the place value of 4 digit #
· Round #s to nearest ten, hundred and thousand
· Demonstrate the effect of place value when mult. by ten
FRACTIONS
· Identify denominator/ numerator
· Define sets as a whole & divide the whole into equal parts
· Use models, objects, illustrations
· Name/write halves, thirds, fourths, sixths, eighths
· Place on a # line
· Compare/order fractions using models, pictures, & symbols
· Equivalent fractions using pictorial representations
TIME
· Identify the number of minutes in a hour, hours in a day and days in a year
· Elapsed time to the hour / MULTIPLCATION/DIVISION
· Basic mult. facts 0-10 w/ related division facts
· Identify factors/multiples
· Demonstrate meaning of mult/division: groups, arrays, area models, equal jumps on # line, counters, repeated addition
· Multiplication & division are inverse operations
· Demonstrate effect on place value when multiplying by ten
· Write story problems & # sentences related to real life
· Use mental math, estimation
· Zero property of multiplication
GRAPHS AND TABLES
· Collect, read, represent and interpret data using tables, graphs, & chart including keys
· Read and interpret pictograph, bar graphs, frequency tables, line plots
· Make predictions based on data
PROBABILITY
· Describe results using terms: certain, likely, unlikely and impossible
· Conduct simple probability experiments
· Record possible outcomes systemically
· Display results in an organized way: chart or graph
· Use result of probability experiment to describe the likelihood of an outcome
TRANFORMATIONS
· Demonstrate effect of reflection, translation or rotation on objects
· Determine congruency by reflecting, translating, or rotating one polygon / GEOMETRY
· Identify, describe, and classify polygons (pentagons, hexagons, octagons)
· Identify attributes for classifying triangles: sides, angles
· Identify attributes for classifying quadrilaterals: sides, angles
· Identify right angles
· Label angles as greater than/less than a right angle
MEASUREMENT
· Describe relationships between metric units: centimeter-meter, inch-foot-yard, cup-quart, pound-ounce
· Measure to the nearest centimeter, meter, foot and yard
· Measure capacity: cups/quarts
· Measure weight: pounds/ ounces
· Simple equivalences of measurements
· Compare measurable attributes
· Perimeter of 2D figures w/customary & metric units
ALGEBRA
· Create/ extend growing patterns using objects, numbers & tables
· Describe how patterns are extended using manipulatives, pictures, and numerical representations
· Represent numerical relationships as expressions, equations, and inequalities
· Solve equations involving equivalent expressions
· Use <, >, and =
EXPLORATORY CONCEPTS & SKILLS
Standard I
· Extend multiplication and division to larger-digit numbers
· Use concrete objects and visual models to add and subtract common decimals
· Investigate the distributive property of multiplication over addition for single-digit multipliers
Standard II
· Use concrete materials to build an understanding of equality and inequality
· Explore the properties of equality in number sentences
Standard III
· Explore line symmetry and rotational symmetry
· Investigate two-dimensional representations of three-dimensional objects
Standard IV
· Determine the value of a combination of coins and bills
· Count back change from a single purchase
Standard V
· Predict outcomes of simple experiments
ESSENTIAL VOCABULARY
Operations
sum
difference
expanded form
factor
product
array
divisor
dividend
quotient
Fractions
multiple
numerator
denominator
halves
thirds
fourths
sixths
eighths
Comparisons
greater than
less than
equal to
< > =
Algebra
growing patterns
expressions
equations
Transformations
reflect
translate
rotate
slide
flip
turn
congruent
Probability
likely
certain
outcome
impossible outcome
Measurement
measure
unit
metric system
customary system
length
pound
ounce
centimeter
meter
inch
foot
yard
capacity
weight
perimeter
Data Collection
data
table
chart
graph
frequency table
line plot
pictograph
bar graph
Geometry
polygon
attribute
quadrilateral
equilateral triangle
isosceles triangle
right triangle
pentagon
hexagon
octagon
parallel
right angle