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