Number and Operations (N)
1. Understand
numbers, ways of representing numbers, relationships among numbers and
number systems
A. Read, write and compare numbers
1. Read, write and compare and whole numbers less than 100,000
B. Represent and use rational numbers
1. Use models, benchmarks (0, 1/2 and 1) and equivalent forms to judge
the size
of fractions
C. Compose and decompose numbers
1. Recognize equivalent representations for the same number and generate
them
by decomposing and composing numbers
D. Classify and describe numeric relationships
1. classify and describe numbers by their characteristics, including odd,
even,
multiples and factors
2. Understand
meanings of operations and how they relate to one another
A. Represent operations
1. Represent and recognize multiplication and related division using various
models, including equal intervals on the number line, equal size
groups,
distributive property, etc.
3. Compute
fluently and make reasonable estimates
A. Describe or represent mental strategies
1. Represent a mental strategy used to compute
a given multiplication
problem (up to 2-digit by 2-digit multiple of)
B. Develop and demonstrate fluency
1. Demonstrate fluency with basic number relationships (12 X 12) of
multiplication and related division facts
C. Compute problems
1. apply and describe the strategy used to compute a given multiplication
of
2-digit by 2-digit numbers and related division facts
D. Estimate and justify solutions
1. estimate and justify products of whole numbers and decimal and fractions
Algebraic Relationships (A)
1 . Understand
patterns, relations and functions
A. Recognize and extend patterns
1. describe geometric and numeric patterns
B. Create and analyze patterns
1. analyze patterns using words, tables and graphs
2.
Represent and analyze mathematical situations and structures usin
algebraic symbols
A. Represent mathematical situations
1. using all operations, represent a mathematical situation as an expression
or
number sentence
B. Describe and use mathematical manipulation
1. use the commutative, distributive and associative properties of addition
and
multiplication for multidigit numbers
3. Use mathematical
models to represent and understand
quantitative relationships
A. Use mathematical models
1. model problem situations, using representations such as graphs, tables
or
number sentences
4. Analyze
change in various contexts
A. Analyze change
1. describe mathematical relationships in terms of constant rates of change
Geometric and Spatial Relationships(G)
1. Analyze characteristics
and properties of two- and three-dimensional geometric shapes and
develop mathematical arguments about geometric relationships
A. Describe and use geometric relationships
1. name and identify properties of 1-, 2- and 3-dimensional shapes describe
the
attributes of 2- and 3-dimensional shapes using appropriate geometric
vocabulary (rectangular prism, cylinder, pyramid, sphere, cone, parallelism,
perpendicularity)
C. Compose and decompose shapes
1. describe the results of subdividing, combining and transforming shapes
2. Specify
locations and describe spatial relationships using coordinate geometry
and other
representational systems
A. Use coordinate systems
1. describe movement using common language and geometric vocabulary (forward
, back, left, right, north, south, east, west)
3. Apply
transformations and use symmetry to analyze mathematical situations
A. Use transformations on objects
1. predict the results of sliding/ translating, flipping/ reflecting or
turning/
rotating around the center point of a polygon
C. Use symmetry
1. construct a figure with multiple lines of symmetry and identify the
lines of
symmetry
4. Use visualization,
spatial reasoning and geometric modeling to solve problems
A. Recognize and draw three-dimensional representations
1. given the picture of a prism, identify the shapes of the faces
Measurement (M)
1. Understand
measurable attributes of objects and the units, systems and processes of
measurement
A. Determine unit of measurement
1. identify and justify the unit of linear measure including perimeter
and
(customary metric)
B. Identify equivalent measures
1. identify equivalent linear measures within a system of measurement
C. Tell and use units of time
1. tell time to the nearest minute
D. Count and compute money
1. determine change from $10.00 and add and subtract money values to $10.00
2. Apply
appropriate techniques, tools and formulas to determine measurements
A. Use standard or non-standard measurement
1. select and use benchmarks to estimate measurements (linear, capacity,
weight)
B. Use angle measurement
1. select and use benchmarks to estimate measurements of 0-, 45-
(acute),
90- (right) greater than 90 (obtuse) degree angles
C. Apply geometric measurements
1. determine and justify areas of polygons and non-polygonal regions imposed
on
a rectangular grid
Data and Probability (D)
1. Formulate
questions that can be addressed with data and collect, organize and display
relevant data to answer them
A. Formulate questions
1. collect data using observations, surveys and experiments
C. Represent and interpret data
1. create tables or graphs to represent categorical and numerical data
(including line
plots)
2.
Select and use appropriate statistical methods to analyze data
A. Describe and analyze data
1. describe important features of the data set
3.
Develop and evaluate inferences and predictions that are based on data
A. Develop and evaluate inferences
1. given a set of data, propose and justify conclusions that are based
on the data
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