|
4.A.1
Develop quick recall of multiplication facts and related division facts and fluency with whole number multiplication.
|
-
4.A.1.1
Use and describe various models for multiplication in problem-solving situations, and demonstrate recall of basic multiplication and related division facts with ease.
-
4.A.1.2
Multiply multi-digit whole numbers through four digits fluently, demonstrating understanding of the standard algorithm, and checking for reasonableness of results, including solving real-world problems.
|
|
4.A.2
Develop an understanding of decimals, including the connection between fractions and decimals.
|
-
4.A.2.1
Use decimals through the thousandths place to name numbers between whole numbers.
-
4.A.2.2
Describe decimals as an extension of the base-ten number system.
-
4.A.2.3
Relate equivalent fractions and decimals with and without models, including locations on a number line.
-
4.A.2.4
Compare and order decimals, and estimate fraction and decimal amounts in real-world problems.
|
|
4.G.3
Develop an understanding of area and determine the area of two-dimensional shapes.
|
-
4.G.3.1
Describe and determine area as the number of same-sized units that cover a region in the plane, recognizing that a unit square is the standard unit for measuring area.
-
4.G.3.2
Justify the formula for the area of the rectangle "area = base x height."
-
4.G.3.3
Select and use appropriate units, both customary and metric, strategies, and measuring tools to estimate and solve real-world area problems.
|
|
4.A.4
Algebra
|
-
4.A.4.1
Generate algebraic rules and use all four operations to describe patterns, including nonnumeric growing or repeating patterns.
-
4.A.4.2
Describe mathematics relationships using expressions, equations, and visual representations.
-
4.A.4.3
Recognize and write algebraic expressions for functions with two operations.
|
|
4.G.5
Geometry and Measurement
|
-
4.G.5.1
Classify angles of two-dimensional shapes using benchmark angles (45°, 90°, 180°, and 360°).
-
4.G.5.2
Identify and describe the results of translations, reflections, and rotations of 45, 90, 180, 270, and 360 degrees, including figures with line and rotational symmetry.
-
4.G.5.3
Identify and build a three-dimensional object from a two-dimensional representation of that object and vice versa.
|
|
4.A.6
Number and Operations
|
-
4.A.6.1
Use and represent numbers through millions in various contexts, including estimation of relative sizes of amounts or distances.
-
4.A.6.2
Use models to represent division as:
-
4.A.6.2.a
the inverse of multiplication
-
4.A.6.2.b
as partitioning
-
4.A.6.2.c
as successive subtraction
-
4.A.6.3
Generate equivalent fractions and simplify fractions.
-
4.A.6.4
Determine factors and multiples for specified whole numbers.
-
4.A.6.5
Relate halves, fourths, tenths, and hundredths to decimals and percents.
-
4.A.6.6
Estimate and describe reasonableness of estimates; determine the appropriateness of an estimate versus an exact answer.
|
|
