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4.N
Number and Operations
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4.N.1
Understand numbers, ways of representing numbers, relationships among numbers and number systems
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4.N.1.A
read, write and compare and whole numbers less than 100,000
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4.N.1.B
use models, benchmarks (0, 1/2 and 1) and equivalent forms to judge the size of fractions
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4.N.1.C
recognize equivalent representations for the same number and generate them by decomposing and composing numbers
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4.N.1.D
classify and describe numbers by their characteristics, including odd, even, multiples and factors
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4.N.2
Understand meanings of operations and how they relate to one another
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4.N.2.A
represent and recognize multiplication and related division using various models, including equal intervals on the number line, equal size groups, distributive property, etc.
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4.N.2.B
describe the effects of multiplying and dividing whole numbers as well as the relationship between the two operations
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4.N.3
Compute fluently and make reasonable estimates
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4.N.3.A
represent a mental strategy used to compute a given multiplication problem (up to 2-digit by 2-digit multiple of)
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4.N.3.B
demonstrate fluency with basic number relationships (12 X 12) of multiplication and related division facts
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4.N.3.C
apply and describe the strategy used to compute a given multiplication of 2-digit by 2-digit numbers and related division facts
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4.N.3.D
estimate and justify products of whole numbers
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4.A
Algebraic Relationships
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4.A.1
Understand patterns, relations and functions
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4.A.1.A
describe geometric and numeric patterns
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4.A.1.B
analyze patterns using words, tables and graphs
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4.A.2
Represent and analyze mathematical situations and structures using algebraic symbols
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4.A.2.A
using all operations, represent a mathematical situation as an expression or number sentence
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4.A.2.B
use the commutative, distributive and associative properties of addition and multiplication for multidigit numbers
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4.A.3
Use mathematical models to represent and understand quantitative relationships
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4.A.3.A
model problem situations, using representations such as graphs, tables or number sentences
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4.A.4
Analyze change in various contexts
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4.A.4.A
describe mathematical relationships in terms of constant rates of change
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4.G
Geometric and Spatial Relationships
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4.G.1
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
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4.G.1.A
name and identify properties of 1-, 2- and 3-dimensional shapes and describe the attributes of 2- and 3-dimensional shapes using appropriate geometric vocabulary (rectangular prism, cylinder, pyramid, sphere, cone, parallelism, perpendicularity)
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4.G.1.C
describe the results of subdividing, combining and transforming shapes
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4.G.2
Specify locations and describe spatial relationships using coordinate geometry and other representational systems
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4.G.2.A
describe movement using common language and geometric vocabulary (forward, back, left, right, north, south, east, west)
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4.G.3
Apply transformations and use symmetry to analyze mathematical situations
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4.G.3.A
predict the results of sliding/ translating, flipping/ reflecting or turning/ rotating around the center point of a polygon
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4.G.3.C
create a figure with multiple lines of symmetry and identify the lines of symmetry
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4.G.4
Use visualization, spatial reasoning and geometric modeling to solve problems
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4.G.4.A
given the picture of a prism, identify the shapes of the faces
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4.M
Measurement
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4.M.1
Understand measurable attributes of objects and the units, systems and processes of measurement
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4.M.1.A
identify and justify the unit of linear measure including perimeter and (customary metric)
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4.M.1.B
identify equivalent linear measures within a system of measurement
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4.M.1.C
tell time to the nearest minute
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4.M.1.D
determine change from $10.00 and add and subtract money values to $10.00
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4.M.2
Apply appropriate techniques, tools and formulas to determine measurements
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4.M.2.A
select and use benchmarks to estimate measurements (linear, capacity, weight)
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4.M.2.B
select and use benchmarks to estimate measurements of 0-, 45- (acute), 90- (right) greater than 90 (obtuse) degree angles
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4.M.2.C
determine and justify areas of polygons and non-polygonal regions imposed on a rectangular grid
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4.D
Data and Probability
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4.D.1
Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them
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4.D.1.A
collect data using observations, surveys and experiments
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4.D.1.C
create tables or graphs to represent categorical and numerical data (including line plots)
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Data, charts, and graphs: Read a table (Fourth grade - J.1)
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Data, charts, and graphs: Interpret line graphs (Fourth grade - J.2)
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Data, charts, and graphs: Interpret bar graphs (Fourth grade - J.4)
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Data, charts, and graphs: Frequency charts (Fourth grade - J.8)
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Data, charts, and graphs: Stem-and-leaf plots (Fourth grade - J.9)
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Data, charts, and graphs: Circle graphs (Fourth grade - J.10)
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Data, charts, and graphs: Choose the best type of graph (Fourth grade - J.11)
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4.D.2
Select and use appropriate statistical methods to analyze data
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4.D.2.A
describe important features of the data set
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4.D.3
Develop and evaluate inferences and predictions that are based on data
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4.D.3.A
given a set of data, propose and justify conclusions that are based on the data
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