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Standards and Year Long Plan:
 

Instructional Resources (as noted on the Scope and Sequence):
4.1 Number and Operations
Bridges in Mathematics Supplements
4.2 Number and Operations and Algebra
Bridges in Mathematics Supplements:

SMC Curriculum (revised 9/11) *You must log in with your nclack username and password for this page to be visible

Investigations Resource Masters *You must log in with your nclack username and password for this page to be visible

Assessment:
CCSS Transition Standards Assessments *Coming Soon
Ten Minute Math:

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Resources for Title I Schools:

4.1 Number and Operations
ODE Content StandardFormative Assessments

Vocabulary
Additional Materials
4.1.1 Extend the base‐ten system to read, write, and represent decimal numbers (to the hundredths) between 0 and 1, between 1 and 2, etc.
Easy:
Medium:
Hard:

base ten
between
decimal
hundredth
model
number line
place value
represents
tenth
Milkshake Shoppe
4.1.2 Use models to connect and compare equivalent fractions and decimals.
Hard:
compare
decimal
equivalent
fraction
model
number line
Fraction Eaters Game

4.1.3 Determine decimal equivalents or approximations of common fractions.

approximation
decimal
equivalent
fraction
NCTM Illuminations: Fraction Models
4.1.4 Compare and order fractions and decimals.
compare
decimal
greatest
least
order
Mathwire: Fraction Models

4.1.5  Estimate decimal or fractional amounts in problem solving.

Easy:
Medium:
Hard:
approximate
approximation
decimal
estimate
fraction
round


4.1.6 Represent money amounts to $10.00 in dollars and cents, and apply to situations involving purchasing ability and making change.
change
dime
dollar bill
five dollar bill
nickel
penny
purchase
ten dollar bill
total

Making Change
4.2 Number and Operations and Algebra
ODE Content StandardFormative Assessments
Vocabulary
Additional Materials
4.2.1 Apply with fluency multiplication facts to 10 times 10 and related division facts.

divide
multiply
product
quotient
How to Learn Multiplication Facts
Arcademic Games
Snowball Game
4.2.2 Apply understanding of models for multiplication (e.g., equal‐sized groups, arrays, area models, equal intervals on the number line), place value, and properties of operations (commutative, associative, and distributive).
Easy:
Medium:
Hard:
array
associative property
column
commutative property
dimensions
distributive property
equal intervals
factors
multiplication
multiply
number line
product
row

4.2.3 Select and use appropriate estimation strategies for multiplication (e.g., use benchmarks, overestimate, underestimate, round) to calculate mentally based on the problem situation when computing with whole numbers.


approximate
approximation
benchmark
estimate
estimation
factors
multiplication
multiply
overestimate
product
round
strategy
underestimate

Sum Sense (multiplication)
Estimation Word Problems
4.2.4 Develop and use accurate, efficient, and generalizable methods to multiply multi‐digit whole numbers.
Easy:
Medium:
Hard:
factors
multiply
product
Thinking Blocks (one step multiplication problems)

Thinking Blocks (two step multiplication problems)
4.2.5 Develop fluency with efficient procedures for multiplying multi‐digit whole numbers and justify why the procedures work on the basis of place value and number properties.
associative property
commutative property
distributive property
factors
justify
multiply
place value
product
Area Model of Multiplication (Relationship to the standard algorithm)



ODE Content StandardFormative Assessments
Vocabulary
Additional Materials
4.3.1 Recognize area as an attribute of two‐dimensional regions.
Easy:
Medium:
Hard:
area
two-dimensional
4.3.2 Determine area by finding the total number of same‐sized units of area that cover a shape without gaps or overlaps.
area
gaps
overlaps

4.3.3 Recognize a square that is one unit on a side as the standard unit for measuring area.
Easy:
Medium:
Hard:		centimeter, square centimeter
foot, square foot
inch, square inch
kilometer, square kilometer
meter, square meter
mile, square mile
millimeter, square millimeter
unit, square unit
yard , square yard
4.3.4 Determine the appropriate units, strategies, and tools to solving problems that involve estimating or measuring area.
Easy:
Medium:
Hard:
estimate
square unit
square inch
square foot
square yard
square mile
square millimeter
square centimeter
square meter
square kilometer
4.3.5 Connect area measure to the area model used to represent multiplication and use this to justify the formula for area of a rectangle.
Easy:
Medium:

Hard:
area
area model
dimensions
length
product
rectangle
square units
width

4.3.6 Find the areas of complex shapes that can be subdivided into rectangles.
Easy:
Medium:
Hard:
area
complex shape
rectangle
4.3.7 Solve problems involving perimeters and areas of rectangles and squares.
Easy:
Medium:
Hard:
area
perimeter
rectangle
square
4.3.8 Recognize that rectangles with the same area can have different perimeters and that rectangles with the same perimeter can have different areas.

area
perimeter
 
 
Last Modified on March 13, 2013