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8.1
Number Operations and Concepts
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8.1.1
Students represent and apply numbers in a variety of equivalent forms (such as changing from percent to decimal to fraction, etc.) and in a problem-solving context:
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8.1.1.a
prime factors, factors, and multiples;
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8.1.1.b
rational numbers and proportions; and
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8.1.1.c
square roots and powers.
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8.1.2
Students extend understanding and use of basic arithmetic operations on rational numbers.
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8.1.2.a
Simplify numerical expressions using the order of operations;
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8.1.2.b
Order rational numbers expressed in a variety of forms
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8.1.3
Students explain their choice of estimation and problem- solving strategies and justify results of solutions in problem-solving situations involving rational numbers.
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8.1.4
Students understand properties of operations with rational numbers.
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8.2
Geometry
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8.2.1
Students classify and describe one-, two-, and three-dimensional geometric objects, including:
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8.2.1.a
lines, rays, segments, and angles;
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8.2.1.b
parallel and perpendicular relationships;
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8.2.1.c
circles and spheres;
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8.2.1.d
regular polygon types;
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8.2.1.e
right prisms, cylinders, cones, and pyramids.
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8.2.2
Students make conjectures about geometric objects based on knowledge of geometric transformations, congruence, and similarity.
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8.2.3
Students use geometric formulas including the Pythagorean Theorem.
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8.2.4
Students communicate the reasoning used in identifying geometric relationships in problem-solving situations appropriate to grade level.
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8.2.5
Students represent geometric figures using a rectangular coordinate plane.
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8.3
Measurement
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8.3.1
Students apply estimation and measurement of weight/mass to content problems and convert within U.S. customary and within metric units (mg, g, kg).
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8.3.2
Students apply estimation and measurement of capacity/volume to content problems and convert within metric units (ml, l).
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8.3.3
Students select and use the appropriate methods, tools, and units to solve problems involving angle measure, perimeter, circumference, area (including circles), and volume of rectangular solids.
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8.4
Algebra
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8.4.1
Students translate word phrases, which involve the four basic operations to mathematical expressions.
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8.4.2
Students solve one- and two- step linear equations each with an integer coefficient and integer solutions.
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8.4.3
Students evaluate algebraic expressions and formulas given integer values for variables.
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8.4.4
Using simple linear equations, students create a table, and graph the solutions on the coordinate system.
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8.5
Data Analysis and Probability
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8.5.1
Students systematically collect, organize, describe, analyze, and represent data using tables, charts, diagrams, and graphs.
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8.5.2
Students calculate mean, median, mode, and range for data sets and use in a real-world setting appropriate to grade level.
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Statistics: Calculate mean, median, mode, and range (Eighth grade - BB.1)
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Statistics: Interpret charts to find mean, median, mode, and range (Eighth grade - BB.2)
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Statistics: Mean, median, mode, and range: find the missing number (Eighth grade - BB.3)
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Statistics: Changes in mean, median, mode, and range (Eighth grade - BB.4)
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8.5.3
Students predict, compare, and calculate probable outcomes of experiments or simulations.
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8.5.4
Students communicate about the likelihood of events using concepts from probability such as impossible, equally likely and certain appropriate to grade level.
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