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STANDARDS CHECKLIST SUBJECT: MATHEMATICS GRADE EIGHT O N D J F M A M /J A/ S

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TATEGOAL

#6

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EMONSTRATEAND APPLYAKNOWLEDGEAND SENSEOF NUMBERS

,

INCLUDINGNUMERATION ANDOPERATION

(

ADDITION

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SUBTRACTTION

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MULTIPLICATION

,

DIVISION

)

PATTERNS

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RATIOS ANDPROPORTIONS

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8.06.01 (C) Recognize and use exponential, scientific, and calculator notation. 8.06.02 (C) Represent, order, and compare rational numbers ausing a variety of

methods and materials.

8.06.03 (C) Simplify arithmetic expressions containing integers using the opera-tions (field properties) and the order of operaopera-tions.

8.06.04 (C) Describe and use the inverse relationships of squaring and finding square roots to simplify computations and solve problems.)

8.06.05 (C) Select, use, and justify appropriate operations, methods, and tools to compute or estimate with real numbers.

8.06.06 (C) Analyze algorithms (procedures) for computing with real numbers and develop fluency in their use.

8.06.07 (C) Determine and explain whether exact values or approximations are needed in a variety of situations.

8.06.08 (C) Develop, use, analyze, and explain methods for solving number sen-tences or word problems involving proportions awith rational num-bers.

8.06.09 (C) Solve problems that involve percents, including increase and de-crease , regardless of the piece of information that is missing. 8.06.10 (C) Place rational numbers on a number line.

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STIMATE

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MAKE AND USEMEASUREMENTSOFOBJECTS

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QUANTITIES AND RELATIONSHIPSANDDETERMINEACCEPTABLELEVELS OFACCURACY

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8.07.01 (C) Measure any quantity to the greatest degree of accuracy determined by the tool.

8.07.02 (C) Solve problems involving scale drawings, models, maps or blueprints. 8.07.03 (C) Solve problems involving time, temperature, mass, speed, distance,

density, and monetary values.

8.07.04 (C) Solve simple scale conversions, contractions, and dilations (e.g. maps and diagrams).

8.07.05 (C) Solve simple problems involving rates and other derived measure-ments such as velocity and density.

8.07.06 (S) Solve problems involving angle measurement in polygons and circles. 8.07.07 (S) Make simple measurements to determine indirect measures (e.g.

de-termining the height of a flagpole using its shadow and similar right triangles.

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OAL

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SEALGEBRAICANDANALYTICAL METHODSTOIDENTIFY ANDDESCRIBE PATTERNS ANDRELATIONSHIPS INDATA

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SOLVEPROBLEMSAND

PREDICTRESULTS

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8.08.01 (C) Investigate and describe linear, quadratic, and/or exponential pat-terns.

8.08.02 (C) Determine a specific term of a pattern of numbers or drawings. 8.08.03 (C) Create arithmetic and geometric sequences to fit a given set of

condi-tions.

8.08.04 (C) Graph linear equations and inequalities on the Cartesian plane. 8.08.05 (C) Graph a set of points and describe the relationships as linear or

nonlinear.

8.08.06 (C) Graph absolute values on a number line.

8.08.07 (C) Solve arithmetic and multi-step algebraic equations using properties of real numbers, equality and inequality, and justify these proce-dures.

8.08.08 (C) Solve simple algebraic equations for a given variable using inverse operations.

8.08.09 (C) Solve algebraic equations or word problems that involve linear equa-tions or inequalities using algebraic or graphical representaequa-tions. 8.08.10 (C) Create word problems that meet given conditions and represent

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8.08.11 (C) Identify and provide examples or counter examples as appropriate for the reflexive, symmetric, and transitive properties of inequality. 8.08.12 (C) Graph two inequalities with a single variable, including the

intersec-tion or union of these inequalities, on a number line.

8.08.13 (C) Recognize and generate equivalent forms for linear equations, includ-ing transforminclud-ing linear equations into standard slope-intercept form. 8.08.14 (S) Describe the relationships between symbolic expressions and graphs

of lines using the appropriate vocabulary for the intercepts and slope of a line.

8.08.15 Determine the slope ofa line from a graph using the formula

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TATEGOAL

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SEGEOMETRICMETHODSTO ANALYZE

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CATEGORIZE

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ANDDRAW CONCLU-SIONS ABOUTPOINTS

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LINES

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PLANESAND SPACE

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8.09.01 (C) Examine and describe a geometric shape, such as a regular polygon or a quadrilateral with pairs of parallel or perpendicular sides, using coordinate geometry.

8.09.02 (C) Draw transformations of figures in aplane to match specified criteria. 8.09.03 (C) Solve problems that involve vertical, complementary, and

supplemen-tary angles.

8.09.04 (C) Solve problems using properties of polygons and circles.

8/09.05 (C) Justify the area formulas for triangles, parallelograms, and trape-zoids based on the formula for the area of a rectangle.

8.09.06 (S) Determine the relationship among the number of edges, faces, and vertices in a three-dimensional object.

8.09.07 (S) Determine the relationships between the number of vertices or sides in a polygon, the number of diagonals, and the sum of its angles. 8.09.08 (S) Create and critique arguments concerning geometric ideas and

rela-tionships, such as the number of diagonals in a polygon, or the for-mula for the sum of the interior angles of a polygon.

8.09.09 (S) Analyze the relationship between sides of right triangles using the Py-thagorean theorem.

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OLLECT

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ORGANIZEAND ANALYZE DATAUSING STATISTICALMETHODS

;

PREDICTRESULTS

;

ANDINTERPRET UNCERTAINTYUSING CONCEPTSOF PROBABILITY

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8.10.01 (C) Construct, read, interpret, infer, predict, draw conclusions, and evaluate data from various displays, including box and whiskers plots.

8.10.02 (C) Compute probabilities for simple compound events using methods such as organized lists and tree diagrams.

8.10.03 (C) Discuss odds versus probability.

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TATEGOAL

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CONTINUED

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8.06.12 (C) Judge the reasonableness of numerical computations and their re-sults.

8.06.13 (C) Explain how ratios and proportions can be used to solve problems of percent, growth, and error tolerance.

8.06 14 (S) Determine an appropriate numerical representation of a problem situation, including roots and powers, if applicable.

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