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Robein School District 85
CURRICULUM GUIDE
Mathematics - Grade 7

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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Number Sense: Display/Apply
The learner will be able to display comprehension and application of numbers and their representations in a broad range of theoretical and practical settings.
Strand Bloom's Scope Source Activities
Standard 6.A Comprehension, Application Master IL: Learning Standards, 1997, Middle/Junior High School, Goal 6.A Classroom
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Exponents: Scientific Notation/Represent
The learner will be able to represent any large number using scientific notation.
Strand Bloom's Scope Source Activities
Standard 6.A Comprehension Master IL Performance Descriptors: 6A. Stage G. Classroom
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Operations: Integers/Rational Numbers
The learner will be able to show relationships between sets of numbers, including rational numbers, whole numbers, natural numbers, and integers.
Strand Bloom's Scope Source Activities
Standard 6.A Application Master IL Performance Descriptors: 6A. Stage G. 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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Primes/Composites: Describe Relationship
The learner will be able to describe relationships between prime factorizations and properties of squares, primes, and composites.
Strand Bloom's Scope Source Activities
Standard 6.B Knowledge Master IL Performance Descriptors: 6B. Stage G. Classroom
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Factors: Whole Number/Classify
The learner will be able to classify numbers according to the number of whole number factors (e.g., square numbers have an odd number of factors.
Strand Bloom's Scope Source Activities
Standard 6.B Analysis Master IL Performance Descriptors: 6B. Stage G. Classroom
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Factors: Rules of Divisibility
The learner will be able to justify rules of divisibility for 2, 5, and 10.
Strand Bloom's Scope Source Activities
Standard 6.B Evaluation Master IL Performance Descriptors: 6B. Stage G. Classroom
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Irrational Numbers: Operations
The learner will be able to solve multi-step number sentences and word problems with rational numbers using the four basic operations.
Strand Bloom's Scope Source Activities
Standard 6.B Application Master IL Performance Descriptors: 6B. Stage G. Classroom
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Exponential Notation: Prime Factors
The learner will be able to write prime factorizations using exponents.
Strand Bloom's Scope Source Activities
Standard 6.B Knowledge Master IL Performance Descriptors: 6B. Stage G. Classroom
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Field Properties: Field Properties/Order
The learner will be able to simplify arithmetic expressions containing exponents using the field properties and the order of operations.
Strand Bloom's Scope Source Activities
Standard 6.B Application Master IL Performance Descriptors: 6B. Stage G. Classroom
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Fractions: Greater Than/Less Than
The learner will be able to demonstrate and describe the effects of multiplying or dividing by a fraction less than or greater than one.
Strand Bloom's Scope Source Activities
Standard 6.B Comprehension Master IL Performance Descriptors: 6B. Stage G. 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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Integers: Justify/Irrational Numbers
The learner will be able to select, use, and justify appropriate operations, methods, and tools to compute or estimate with integers and familiar rational numbers.
Strand Bloom's Scope Source Activities
Standard 6.C Application, Evaluation Master IL Performance Descriptors: 6C. Stage G. Classroom
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Strategies: Mental Math/Compute Answers
The learner will be able to develop, use, and explain strategies to compute exact answers mentally with integers and simple rational numbers using a variety of techniques (e.g., estimate and compensate, halve and double, compatible numbers, decomposition and recomposition using the distributive property.).
Strand Bloom's Scope Source Activities
Standard 6.C Application, Analysis Master IL Performance Descriptors: 6C. Stage G. Classroom
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Irrational Numbers: Analyze algorithms
The learner will be able to analyze algorithms for computing with rational numbers and develop fluency in their use.
Strand Bloom's Scope Source Activities
Standard 6.C Analysis Master IL Performance Descriptors: 6C. Stage G. 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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Equivalent Forms: Ratio/Explain
The learner will be able to create and explain a variety of equivalent ratios to represent a given situation.
Strand Bloom's Scope Source Activities
Standard 6.D Analysis, Synthesis Master IL Performance Descriptors: 6D. Stage G. Classroom
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Reasoning: Quantitative Relationships
The learner will be able to create and explain ratios and proportions that represent quantitative relationships.
Strand Bloom's Scope Source Activities
Standard 6.D Analysis, Synthesis Master IL Performance Descriptors: 6D. Stage G. Classroom
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Data: Fractions/Percents/Decimals
The learner will be able to work flexibly with fractions, decimals, and percents to solve number sentences and word problems (e.g., 50% of 10 is the same as 1/2 of 10 is the same as 0.5 X 10).
Strand Bloom's Scope Source Activities
Standard 6.D Application Master IL Performance Descriptors: 6D. Stage G. Classroom
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Proportions: Explain/Word/Numeric
The learner will be able to develop, use, analyze, and explain methods for solving numeric or word problems involving proportions.
Strand Bloom's Scope Source Activities
Standard 6.D Analysis, Synthesis Master IL Performance Descriptors: 6D. Stage G. 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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Measurement: U.S. Customary/Metric
The learner will be able to select and justify the choice of either U.S. customary or metric systems of measurement according to the situation (e.g., measure fabric in yards, measure dry chemicals in grams).
Strand Bloom's Scope Source Activities
Standard 7.A Evaluation Master IL Performance Descriptors: 7A. Stage G. Classroom
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Measurement Concepts: Direct/Indirect
The learner will be able to make simple measurements using indirect techniques (e.g., determining the height of a flagpole using its shadow and similar right triangles).
Strand Bloom's Scope Source Activities
Standard 7.A Application Master IL Performance Descriptors: 7A. Stage G. Classroom
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Measurement: Derived
The learner will be able to explore and explain derived measurements (e.g., velocity and density).
Strand Bloom's Scope Source Activities
Standard 7.A Analysis Master IL Performance Descriptors: 7A. Stage G. Classroom
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Strategies: Develop/Area/Shapes
The learner will be able to develop and discuss strategies to find the area of combined shapes.
Strand Bloom's Scope Source Activities
Standard 7.A Analysis Master IL Performance Descriptors: 7A. Stage G. 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
Standard 7.B Analysis Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 7.B Classroom
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Estimation: Accuracy/Acceptable Levels
The learner will be able to determine and describe acceptable levels of accuracy in estimation situations.
Strand Bloom's Scope Source Activities
Standard 7.B Analysis Master IL Performance Descriptors: 7B. Stage G. Classroom
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Estimation: Strategies/Accuracy/
The learner will be able to estimate angle measure, area, and volume using reasonable units and with acceptable levels of accuracy.
Strand Bloom's Scope Source Activities
Standard 7.B Comprehension Master IL Performance Descriptors: 7B. Stage G. Classroom
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Standard 7.C
The learner will be able to select and use appropriate technology, instruments and formulas to solve problems, interpret results and communicate findings.
Strand Bloom's Scope Source Activities
Standard 7.C Comprehension Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 7.C Classroom
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Formulas: Select/Circumference/Area
The learner will be able to select an appropriate formula to determine the circumference and the area of circles.
Strand Bloom's Scope Source Activities
Standard 7.C Analysis Master IL Performance Descriptors: 7C. Stage G. Classroom