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4.A
Number
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4.A.1
Students understand and use number notation and place value to 100,000 in numerals.
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4.A.1.a
Read and write numbers up to 100,000 in numerals and words.
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4.A.1.b
Recognize the place value of digits in numbers to 100,000.
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4.A.1.c
Compare and order numbers with up to five digits.
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4.A.1.d
Round numbers to the nearest 100 or 1000.
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4.A.2
Students understand and use the concepts of factor and multiple.
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4.A.2.a
Determine if a single-digit number is a factor of a given whole number.
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4.A.2.b
Determine if a whole number is a multiple of a given single-digit number.
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4.A.2.c
List the first ten multiples of a given number.
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4.A.3
Students understand and use procedures to multiply and divide whole numbers by two-digit numbers.
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4.A.3.a
Multiply up to four-digit numbers by a single-digit number.
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4.A.3.b
Multiply three-digit numbers by two-digit numbers.
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4.A.3.c
Divide whole numbers up to four digits by a single-digit number and by ten (remainders may be present).
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4.A.4
Students understand, name, compare, illustrate, combine, and use fractions.
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4.A.4.a
Add and subtract fractions with like denominators and use repeated addition to multiply a unit fraction by a whole number.
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4.A.4.b
List equivalent fractions.
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4.A.4.c
Represent fractions greater than one as mixed numbers and mixed numbers as fractions.
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4.A.5
Students understand and use number notation and place value in numbers with two decimal places in real-world contexts including money.
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4.A.5.a
Compare, order, read, round, and interpret decimals with up to two decimal places.
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4.A.5.b
Add and subtract decimals with up to two decimal places.
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4.A.5.c
Multiply and divide decimals with up to two decimal places by a one- digit whole number.
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4.A.5.d
Connect equivalent decimals and fractions for 1/10s, 1/4s and 1/2s in meaningful contexts.
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4.B
Data
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4.B.1
Students understand and use measurement of time, capacity, and temperature.
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4.B.1.a
Select appropriate tools and units for these measures.
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4.B.1.b
Solve and justify problems with these measures.
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4.B.2
Students collect and represent data in tables, line plots, and bar graphs, and read and interpret these types of data displays.
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4.C
Geometry
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4.C.1
Students identify and name angles, lines, relationships between lines, quadrilaterals, and triangles.
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4.C.1.a
Identify perpendicular and parallel lines and sides.
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4.C.1.b
Identify and sketch the following quadrilaterals: rectangle, square, parallelogram, rhombus, and trapezoid.
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4.C.1.c
Identify and sketch the following triangles: isosceles, equilateral, acute, obtuse, and right.
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4.C.2
Students understand the concept of area of a figure.
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4.C.2.a
Find the area of shapes in non-standard units.
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4.C.2.b
Find the area of squares and other rectangles in standard units.
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4.C.2.c
Recognize and estimate the relative sizes of one square meter and one square centimeter and one square inch and one square foot.
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4.C.3
Students recognize congruent figures and line symmetry in figures.
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4.C.3.a
Recognize whether a line is a line of symmetry in a figure.
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4.C.3.b
Recognize congruent figures.
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4.D
Algebra
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4.D.1
Students create and evaluate simple expressions in the context of numbers and operations as described in Standard 2.1 for this grade level.
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4.D.1.a
Create and evaluate expressions with no more than two variables.
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4.D.2
Students find the unknown in simple equations in the context of numbers and operations as described in Standard 2.1: Number for this grade level such as: 3 x b = 12, 3 + 4 = x + 5, 6 x 5 = 3 x [ ].
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4.D.3
Students use tables, rules, diagrams, and patterns to represent the relationship between quantities and to extend sequences.
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