Bloomsburg Area School District Mathematics Academic Standards For Mathematics Grade 6- Entended Math The Mathematics Standards describe what students should know and be able to do at the eighth grade level. They reflect the increasing complexity and sophistication that students are expected to achieve as they progress through school. |
Measurement |
The Measurement Unit includes Competencies/Objectives which focus on measurement concepts, applications, and analysis. Students study length, area, circumference, perimeter, volume, weight, formulas, distance, calendar, money, tools, accuracy, units, constructions, patterns, and problem solving. The Measurement Unit includes Competencies/Objectives which focus on measurement concepts, applications, and analysis. Students study length, area, circumference, perimeter, volume, weight, formulas, distance, calendar, money, tools, accuracy, units, constructions, patterns, and problem solving. |
Units of Measurement: Appropriateness
The learner will be able to determine what unit of measure would be appropriate if measuring a given object.
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Time: Elapsed/Practical Problems
The learner will be able to solve practical problems using elapsed time.
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Time: Problem Solving/Zones
The learner will be able to solve real world problem situations where time zones are involved.
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Scale Maps: Interpret/Measurements
The learner will be able to interpret maps or drawings using scale measurements.
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Converting: Solve/Time
The learner will be able to obtain solutions to problems involving the conversion of units of measure, including time.
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Distance/Rate/Time
The learner will be able to apply the distance formula to solve story problems.
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Problem Solving: Rates
The learner will be able to obtain solutions to problems by applying rates.
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Measurement: Approximate/Use/Explain
The learner will be able to approximate, use, and explain measures of distance, rate, perimeter, area (including triangles and quadrilaterals), volume, and angles using formulas.
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Formulas: Develop
The learner will be able to develop and/or apply formulas and methods for finding measurement values.
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Geometry |
The Geometry Unit includes Competencies/Objectives which focus on exploring geometric concepts from multiple perspectives. Students study properties and construction of figures, proofs and theorems, history of geometry, transformations, logic, and problem solving. |
Lines/Segments/Rays/Points/Angles
The learner will be able to explore the interrelationships between point, lines, segments, rays, and angles in a plane region.
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Angles: Measuring
The learner will be able to measure angles in degrees.
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Acute/Right/Obtuse Angles: Classify
The learner will be able to make classifications and drawings of various angles, determining if they are acute, right, obtuse, or straight.
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Angles: Compare
The learner will be able to compare angles.
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Angles: Draw/Measure/Label/List
The learner will be able to draw, measure, list, and label the attributes of complementary, supplementary, and vertical angles.
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Properties: Recognize/Name/Draw/List
The learner will be able to recognize, name, draw, and list all the properties of squares, parallelograms, quadrilaterals, trapezoids, polygons, rectangles, rhombi, circles, and triangles.
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Polygons: Classify
The learner will be able to classify familiar polygons as regular or irregular(up to a decagon).
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Congruence/Similarity: Polygons
The learner will be able to explain why polygons may be classified as similar, congruent, or neither.
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Triangles: Apply/Properties
The learner will be able to apply the properties of triangles.
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Triangles: Classify
The learner will be able to classify triangles using multiple criteria.
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Triangles: Problem Solving/Sum of Angles
The learner will be able to apply the property that the sum of the interior angles of a triangle is 180 degrees in order to obtain problem solutions.
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Triangles: Congruence
The learner will be able to determine the conditions necessary for the congruence of triangles.
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Triangles: Determine/Corresponding Sides
The learner will be able to determine corresponding sides in similar or congruent triangles.
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Ratio/Proportion: Apply/Math Problems
The learner will be able to use ratio and proportion in mathematical problem scenarios involving distance, rate, time, and similar triangles.
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Triangles: Similar/Proportion
The learner will be able to find missing measures in similar triangles by applying proportions.
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Quadrilaterals: Identify/Special
The learner will be able to identify special quadrilaterals including squares, rectangles, rhombuses, trapezoids, and parallelograms.
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Circle: Parts
The learner will be able to identify and define circle parts.
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Perimeter/Area: Measurement Solution
The learner will be able to determine whether a problem requires a solution of length or area.
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Area of a Square: Formula/Apply
The learner will be able to apply the area formula for a square.
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Area of a Rectangle: Formula/Understand
The learner will be able to understand the area formula for a rectangle.
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Area of a Triangle: Compute
The learner will be able to compute the area of a triangle.
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Formula: Surface Area/Volume
The learner will be able to apply formulas for the surface area and volume of basic three-dimensional figures.
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Data Interpretation |
The Data Interpretation Unit includes Competencies/Objectives which focus on the study and use of graphical forms. Students collect and classify data, organize and display data, use logical reasoning, and problem solving. |
Mean/Median/Mode/Range/Quartiles
The learner will be able to compare and contrast various plots of data by applying values of mean, median, mode, quartiles, and range.
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Analyzing Graphs: Tables/Charts/Graphs
The learner will be able to create and analyze tables, charts, and graphs (bar graphs, line graphs, circle graphs, and scatterplots) and be able to determine mean, median, mode, and range from the graphs.
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Sampling: Design/Follow Through
The learner will be able to design and follow through with a random sampling procedure.
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Data Analysis: Graphing Calculator
The learner will be able to organize and study data using scientific and graphing calculators and computer spreadsheets.
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Probability/Statistics |
The Probability/Statistics Unit includes Competencies/Objectives which focus on data analysis and probability concepts. Students collect, analyze, and make sense of real world data (including overlapping data, inconclusive data, etc.). |
Predictions: Probability
The learner will be able to apply simple probability methods in the prediction of given event outcomes.
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Data Analysis: Representation
The learner will be able to study and/or illustrate data through the use of tables, charts, and graphs of many different types.
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Real Numbers and the Coordinate Plane |
The Real Numbers and the Coordinate Plane Unit includes Competencies/Objectives which focus on graphing concepts. Students graph equations and make connections between algebraic concepts and their geometric correspondences. |
Coordinate Plane: Identify Components
The learner will be able to recognize the various components of the Cartesian plane.
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Coordinate Plane: Identify/Ordered Pairs
The learner will be able to recognize the coordinates of a specific point in the first quadrant.
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Integers |
The Integers Unit includes Competencies/Objectives which focus on number sense and operations with integers. Students compare integers, perform operations with integers, convert integers to other number forms, use manipulatives to demonstrate integers, and solve problems with integers in real world contexts. |
Integers: Recognize
The learner will be able to identify integers.
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Integers: Number Lines
The learner will be able to interpret real world scenarios involving integers presented on number lines.
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Add/Subtract: Understand/Manipulatives
The learner will be able to use manipulatives and number lines to understand addition and subtraction of integers.
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Addition/Subtraction Integers
The learner will be able to add and subtract integer numbers.
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Problem Solving |
The Problem Solving Unit includes Competencies/Objectives which focus on analyzing problems, evaluating solutions, exploring problems, and developing strategies for solving problems. |
Irrelevant Information: Identify
The learner will be able to identify irrelevant information given in a story problem.
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Solutions: Verify/Interpret
The learner will be able to verify and interpret results by applying accurate mathematical language, notation, and illustrations, including numerical tables and equations, simple algebraic equations and formulas, charts, graphs and diagrams.
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Strategies: Choose/Apply/Justify
The learner will be able to choose, apply, and justify the methods, materials, and strategies used to obtain solutions to problems.
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