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Robein School District 85
CURRICULUM GUIDE
Mathematics - Grade 6

Goal 6: Numeration

Standard 6.A
The learner will be able to demonstrate knowledge and use of numbers and their representations in a broad range of theoretical and practical settings.
Strand Bloom's Scope Source Activities
Standard 6.A Application Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 6.A Classroom
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Place Value: Billions/Powers of Ten
The learner will be able to represent place values from units through billions using powers of ten.
Strand Bloom's Scope Source Activities
Standard 6.A Comprehension Master IL Performance Descriptors: 6A. Stage F. Classroom
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Fraction Parts: Shapes/Same Value
The learner will be able to identify fractional pieces that have the same value but different shapes.
Strand Bloom's Scope Source Activities
Standard 6.A Knowledge Master IL Performance Descriptors: 6A. Stage F. Classroom
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Exponents: Repeated Factors
The learner will be able to represent repeated factors using exponents.
Strand Bloom's Scope Source Activities
Standard 6.A Comprehension Master IL Performance Descriptors: 6A. Stage F. Classroom
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Ordering: Fractions/Decimals/Number Line
The learner will be able to compare and order fractions and decimals efficiently and find their approximate position on a number line.
Strand Bloom's Scope Source Activities
Standard 6.A Analysis Master IL Performance Descriptors: 6A. Stage F. Classroom
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Graphs: Represent/Compare/Graph Integers
The learner will be able to represent, order, compare, and graph integers.
Strand Bloom's Scope Source Activities
Standard 6.A Analysis Master IL Performance Descriptors: 6A. Stage F. Classroom
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Standard 6.B
The learner will be able to investigate, represent and solve problems using number facts, operations (addition, subtraction, multiplication, division) and their properties, algorithms and relationships.
Strand Bloom's Scope Source Activities
Standard 6.B Analysis Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 6.B Classroom
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Multiply Fractions: Demo Meaning
The learner will be able to demonstrate the meaning of multiplication of fractions (e.g., 1/2 X 3 is 1/2 of a group of three objects).
Strand Bloom's Scope Source Activities
Standard 6.B Application Master IL Performance Descriptors: 6B. Stage F. Classroom
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Multiplication: Solve/Number/Word
The learner will be able to solve multiplication number sentences and word problems with whole numbers and familiar fractions.
Strand Bloom's Scope Source Activities
Standard 6.B Application Master IL Performance Descriptors: 6B. Stage F. Classroom
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Factors: Prime/Write/Numbers
The learner will be able to write prime factorizations of numbers.
Strand Bloom's Scope Source Activities
Standard 6.B Knowledge Master IL Performance Descriptors: 6B. Stage F. Classroom
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Inverse Relationships: Recognize/Use
The learner will be able to recognize and use the inverse relationships of addition and subtraction, multiplication and division to simplify computations and solve problems.
Strand Bloom's Scope Source Activities
Standard 6.B Application Master IL Performance Descriptors: 6B. Stage F. Classroom
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Factors: Least/Greatest/Common
The learner will be able to determine the least common multiple and the greatest common factor of a set of numbers.
Strand Bloom's Scope Source Activities
Standard 6.B Analysis Master IL Performance Descriptors: 6B. Stage F. Classroom
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Rational Numbers: Properties/Operations
The learner will be able to simplify simple arithmetic expressions with rational numbers using the field properties and the order of operations.
Strand Bloom's Scope Source Activities
Standard 6.A Application Master IL Performance Descriptors: 6B. Stage F. Classroom
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Standard 6.C
The learner will be able to compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers.
Strand Bloom's Scope Source Activities
Standard 6.C Comprehension Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 6.C Classroom
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Compute/Estimate: Whole Numbers
The learner will be able to select and use appropriate operations, methods, and tools to compute or estimate using whole numbers with natural number exponents.
Strand Bloom's Scope Source Activities
Standard 6.C Application Master IL Performance Descriptors: 6C. Stage F. Classroom
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Algorithms: Analyze/Whole Numbers
The learner will be able to analyze algorithms for computing with whole numbers, familiar fractions, and decimals and develop fluency in their use.
Strand Bloom's Scope Source Activities
Standard 6.C Analysis Master IL Performance Descriptors: 6C. Stage F. Classroom
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Standard 6.D
The learner will be able to solve problems using comparison of quantities, ratios, proportions and percents.
Strand Bloom's Scope Source Activities
Standard 6.D Analysis Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 6.D Classroom
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Constant Ratio: Pattern/Create/Explain
The learner will be able to create and explain a pattern that shows a constant ratio.
Strand Bloom's Scope Source Activities
Standard 6.D Synthesis Master IL Performance Descriptors: 6D. Stage F. Classroom
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Problem Solving: Ratio/Analyze
The learner will be able to analyze situations to determine whether ratios are appropriate to solve problems.
Strand Bloom's Scope Source Activities
Standard 6.D Analysis Master IL Performance Descriptors: 6D. Stage F. Classroom
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Ratios: Determine/Equivalent
The learner will be able to determine equivalent ratios.
Strand Bloom's Scope Source Activities
Standard 6.D Analysis Master IL Performance Descriptors: 6D. Stage F. Classroom
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Percents: Problem Solving
The learner will be able to solve number sentences and word problems using percents.
Strand Bloom's Scope Source Activities
Standard 6.D Application Master IL Performance Descriptors: 6D. Stage F. Classroom
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Problem Solving: Percents
The learner will be able to demonstrate and explain the meaning of percents, including greater than 100 and less than 1.
Strand Bloom's Scope Source Activities
Standard 6.D Analysis Master IL Performance Descriptors: 6D. Stage F. Classroom
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Rounding/Estimation: Whole Numbers
The learner will be able to round whole numbers to the nearest ten, hundred, thousand, or ten-thousand and use this to estimate the outcome of a given equation.
Strand Bloom's Scope Source Activities
Rounding Comprehension Master Foundations of Learning, January 1999, Grade 6 Classroom
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Division Story Problems
The learner will be able to solve real world problems by determining that division is required, distinguishing the relevant elements of the problem, and dividing the appropriate numbers.
Strand Bloom's Scope Source Activities
Story Problems Application Master Applications of Learning, January 1999, Grade 6 week tested: 28. Classroom
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Goal 7: Measurement

Standard 7.A
The learner will be able to measure and compare quantities using appropriate units, instruments and methods.
Strand Bloom's Scope Source Activities
Standard 7.A Analysis Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 7.A Classroom
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Area: Use/Formulas/Shapes
The learner will be able to develop and use formulas for determining the area of triangles, parallelograms, and trapezoids.
Strand Bloom's Scope Source Activities
Standard 7.A Application Master IL Performance Descriptors: 7A. Stage F. Classroom
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Problem Solving: Volume of Prisms
The learner will be able to develop and use the formula for determining the volume of a rectangular and triangular prism.
Strand Bloom's Scope Source Activities
Standard 7.A Application Master IL Performance Descriptors: 7A. Stage F. Classroom
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Surface Area Concepts: Cube/Rectangle
The learner will be able to calculate the surface area of a cube, rectangular prism, and triangular prism.
Strand Bloom's Scope Source Activities
Standard 7.A Application Master IL Performance Descriptors: 7A. Stage F. Classroom
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Area of a Circle: Circumference/Use
The learner will be able to develop and use formulas for determining the circumference and area of circles.
Strand Bloom's Scope Source Activities
Standard 7.A Application Master IL Performance Descriptors: 7A. Stage F. Classroom
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Measurement: Customary/Metric/History
The learner will be able to investigate the history of the U.S. customary and metric systems of measurement.
Strand Bloom's Scope Source Activities
Standard 7.A Analysis Master IL Performance Descriptors: 7A. Stage F. Classroom
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Measure: Ruler/Protractor/Accuracy
The learner will be able to measure, with a greater degree of accuracy, any angle using a protractor or angle ruler.
Strand Bloom's Scope Source Activities
Standard 7.A Application Master IL Performance Descriptors: 7A. Stage F. Classroom
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Standard 7.B
The learner will be able to estimate measurements and determine acceptable levels of accuracy.
Strand Bloom's Scope Source Activities
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