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5.A
Number
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5.A.1
Students understand and use number notation to 10 million in numerals and words.
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5.A.1.a
Read and write numbers to 10 million in numerals.
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5.A.1.b
Round numbers to the place value appropriate for given contexts.
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5.A.1.c
Compare and order numbers up to 10 million.
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5.A.2
Students multiply and divide numbers up to four digits by numbers up to two digits, and by tens, hundreds, and thousands and interpret any remainders.
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5.A.3
Students solve problems requiring multiple operations (addition, subtraction, multiplication, and division) and use the conventions of order of operations (no exponents expected).
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5.A.4
Students understand, name, compare, illustrate, compute with, and use fractions.
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5.A.4.a
Add and subtract fractions with unlike denominators.
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5.A.4.b
Multiply a fraction by a whole number.
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5.A.5
Students understand and use number notation and place value in numbers with three decimal places.
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5.A.5.a
Compare, order, read, round, and interpret decimals with up to three decimal places.
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5.A.5.b
Add and subtract decimals with up to three decimal places.
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5.A.5.c
Multiply and divide decimals with up to three decimals places by a two-digit whole number.
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5.A.5.d
Develop the concept of a fraction as division through expressing fractions with denominators of two, four, five, and 10, as decimals and decimals as fractions.
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5.A.6
Students understand concepts of positive and negative integers.
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5.A.6.a
Place positive and negative integers on a number line or scale.
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5.A.6.b
Compare and order positive and negative integers.
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5.A.6.c
Find the distance between two integers in a context.
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5.B
Data
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5.B.1
Students understand and use measures of elapsed time, temperature, capacity, mass, and use measures of mass and weight.
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5.B.1.a
Select and use appropriate tools and units (mass in grams, weight in pounds) for these measures.
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5.B.1.b
Solve and justify problems with these measures.
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5.B.2
Students read, construct, and interpret line graphs.
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5.B.3
Students find and use median, mode, and range for a set of data.
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5.C
Geometry
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5.C.1
Students identify, describe, and classify solid figures.
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5.C.1.a
Identify edges, vertices, and faces in three-dimensional figures.
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5.C.1.b
Describe and classify solid figures according to the number of edges, faces, and vertices as well as the shapes of faces.
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5.C.2
Students find the area of triangles and quadrilaterals.
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5.C.2.a
Know how to derive and use the formula, A = (1/2) bh for the area of a triangle.
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5.C.2.b
Find the area of parallelograms.
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5.C.3
Students understand how to find the volume and surface area of rectangular prisms.
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5.C.3.a
Know how to build solids with unit cubes and find their volume.
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5.C.3.b
Recognize and estimate the relative sizes of one cubic meter and one cubic centimeter or one cubic inch and one cubic foot.
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5.C.3.c
Know how to derive and use the formula (length x width x height) for the volume of a rectangular prism.
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5.C.3.d
Create nets to aid visualization and computation.
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5.C.4
Students understand how to describe position and direction in two dimensions.
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5.C.4.a
Locate points on the Cartesian plane.
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5.C.4.b
Determine horizontal and vertical distance on the coordinate plane.
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5.C.4.c
Measure angles in degrees.
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5.C.5
Students reflect, slide, and rotate plane figures.
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5.C.5.a
Identify figures with rotational or line symmetry.
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5.C.5.b
Create figures with rotational or line symmetry
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5.C.5.c
Slide, rotate or reflect figures to create patterns or demonstrate congruence.
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5.D
Algebra
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5.D.1
Students create and evaluate simple expressions in the context of numbers and operations as described in 2.1 for this grade level.
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5.D.1.a
Create and evaluate expressions with no more than three variables.
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5.D.2
Students find the unknown in simple equations in the context of numbers and operations as described in Standard 2.1: grade level such as: 39 - k = 39 - 40, 78 + b = 57 + 79, 30 x A = 276, (3 + 4) x 6 = 6 x [ ], 3x15 = 3 x (10 + [ ]).
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5.D.3
Students use tables, rules, diagrams, and graphs to represent and analyze the relationship between quantities.
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Problem solving: Use Venn diagrams to solve problems (Fifth grade - J.5)
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Fractions and mixed numbers: Arithmetic sequences with fractions (Fifth grade - L.8)
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Fractions and mixed numbers: Geometric sequences with fractions (Fifth grade - L.9)
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Algebra: Function tables (Fifth grade - P.7)
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Algebra: Convert graphs to input/output tables (Fifth grade - P.8)
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Algebra: Write linear functions (Fifth grade - P.9)
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Algebra: Graph linear functions (Fifth grade - P.10)
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Algebra: Evaluate functions (Fifth grade - P.11)
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Data, charts, and graphs: Read a table (Fifth grade - R.1)
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Data, charts, and graphs: Line graphs (Fifth grade - R.2)
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Data, charts, and graphs: Bar graphs (Fifth grade - R.3)
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Data, charts, and graphs: Pictographs (Fifth grade - R.4)
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Data, charts, and graphs: Frequency charts (Fifth grade - R.5)
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Data, charts, and graphs: Stem-and-leaf plots (Fifth grade - R.6)
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Data, charts, and graphs: Circle graphs (Fifth grade - R.7)
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Data, charts, and graphs: Histograms (Fifth grade - R.8)
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Patterns: Geometric growth patterns (Fifth grade - S.1)
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Patterns: Increasing growth patterns (Fifth grade - S.2)
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Patterns: Patterns involving addition and multiplication (Fifth grade - S.3)
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Patterns: Numeric patterns: word problems (Fifth grade - S.4)
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Patterns: Mixed patterns review (Fifth grade - S.5)
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Time: Time patterns (Fifth grade - W.7)
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