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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
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Formulas: Surface Area/Volume
The learner will be able to select and explain an appropriate formula or strategy to find the surface area and volume of rectangular and triangular pyramids, cylinders, and cones.
Strand Bloom's Scope Source Activities
Standard 7.C Analysis Master IL Performance Descriptors: 7C. Stage G. Classroom
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Measurement: Problem Solving
The learner will be able to solve simple problems involving rate, time, and distance.
Strand Bloom's Scope Source Activities
Standard 7.C Application Master IL Performance Descriptors: 7C. Stage G. Classroom
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Measurement: Solve Problems/Mixed Units
The learner will be able to solve problems involving mixed units of the same attribute, including time, money, length, and area.
Strand Bloom's Scope Source Activities
Standard 7.C Application Master IL Performance Descriptors: 7C. Stage G. Classroom
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Units of Measurement: Appropriateness
The learner will be able to select and use appropriate units and tools to measure volume, surface area, and mass/weight accurately for a given situation.
Strand Bloom's Scope Source Activities
Standard 7.C Application, Analysis Master IL Performance Descriptors: 7C. Stage G. Classroom
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Goal 8: Algebraic Concepts

Standard 8.A
The learner will be able to describe numerical relationships using variables and patterns.
Strand Bloom's Scope Source Activities
Standard 8.A Knowledge Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 8.A Classroom
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Algebraic Concepts: Equivalent Forms
The learner will be able to recognize and generate equivalent forms of simple algebraic expressions.
Strand Bloom's Scope Source Activities
Standard 8.A Synthesis Master IL Performance Descriptors: 8A. Stage G. Classroom
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Patterns: Recursive/Generalize
The learner will be able to investigate, describe, and generalize a variety of patterns using variable or recursive techniques.
Strand Bloom's Scope Source Activities
Standard 8.A Synthesis Master IL Performance Descriptors: 8A. Stage G. Classroom
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Properties: Variables/Represent
The learner will be able to represent situations using variables.
Strand Bloom's Scope Source Activities
Standard 8.A Comprehension Master IL Performance Descriptors: 8A. Stage G. Classroom
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Standard 8.B
The learner will be able to interpret and describe numerical relationships using tables, graphs and symbols.
Strand Bloom's Scope Source Activities
Standard 8.B Comprehension Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 8.B Classroom
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Graphing: Inequalities/Variable/Number
The learner will be able to graph two inequalities with a single variable, including the intersection or union of these inequalities, on a number line.
Strand Bloom's Scope Source Activities
Standard 8.B Application Master IL Performance Descriptors: 8B. Stage G. Classroom
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Graphing: Plot Points/Cartesian Plane
The learner will be able to create a table of values that satisfy a power or exponential relationship and plot the points on the Cartesian plane.
Strand Bloom's Scope Source Activities
Standard 8.B Synthesis Master IL Performance Descriptors: 8B. Stage G. Classroom
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Standard 8.C
The learner will be able to solve problems using systems of numbers and their properties.
Strand Bloom's Scope Source Activities
Standard 8.C Application Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 8.C Classroom
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Inequality: Examples/Properties
The learner will be able to identify and provide examples or counter examples as appropriate for the reflexive, symmetric, and transitive properties of inequality.
Strand Bloom's Scope Source Activities
Standard 8.C Knowledge Master IL Performance Descriptors: 8C. Stage G. Classroom
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Linear Equations: Equality/Inequality
The learner will be able to solve arithmetic and linear equations using the properties of equality and inequality.
Strand Bloom's Scope Source Activities
Standard 8.C Application Master IL Performance Descriptors: 8C. Stage G. Classroom
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Standard 8.D
The learner will be able to use algebraic concepts and procedures to represent and solve problems.
Strand Bloom's Scope Source Activities
Standard 8.D Application Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 8.D Classroom
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Linear Equations: Solve/Representation
The learner will be able to solve simple linear equations, including direct variation, with integral coefficients using algebraic or graphical representations.
Strand Bloom's Scope Source Activities
Standard 8.D Application Master IL Performance Descriptors: 8D. Stage G. Classroom
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Graphing: Linear/Quadratic
The learner will be able to solve simple problems involving quadratic relationships using technology for graphing.
Strand Bloom's Scope Source Activities
Standard 8.D Application Master IL Performance Descriptors: 8D. Stage G. Classroom
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Goal 9: Geometry

Standard 9.A
The learner will be able to demonstrate and apply geometric concepts involving points, lines, planes and space.
Strand Bloom's Scope Source Activities
Standard 9.A Application Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 9.A Classroom
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Shapes: Draw/Construct w Properties
The learner will be able to draw geometric shapes with specified properties, such as side lengths or angle measures.
Strand Bloom's Scope Source Activities
Standard 9.A Knowledge Master IL Performance Descriptors: 9A. Stage G. Classroom
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Pattern: Describe Geometric Shapes
The learner will be able to examine and describe geometric shapes, such as regular polygons or those with pairs of parallel or perpendicular sides, using coordinate geometry.
Strand Bloom's Scope Source Activities
Standard 9.A Comprehension Master IL Performance Descriptors: 9A. Stage G. Classroom
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Problem Solving: Transformation/Symmetry
The learner will be able to examine and describe line or rotational symmetry of objects in terms of transformations.
Strand Bloom's Scope Source Activities
Standard 9.A Comprehension Master IL Performance Descriptors: 9A. Stage G. Classroom
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Transformations: Draw/Specified Criteria
The learner will be able to draw transformations of figures in a plane to match specified criteria.
Strand Bloom's Scope Source Activities
Standard 9.A Knowledge Master IL Performance Descriptors: 9A. Stage G. Classroom
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Shapes: Construct/Compass/Angles
The learner will be able to perform constructions of congruent angles and parallel lines using a compass and straightedge, paper folding, or a mira.
Strand Bloom's Scope Source Activities
Standard 9.A Comprehension Master IL Performance Descriptors: 9A. Stage G. Classroom
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Standard 9.B
The learner will be able to identify, describe, classify and compare relationships using points, lines, planes and solids.
Strand Bloom's Scope Source Activities
Standard 9.B Analysis Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 9.B Classroom
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Figures: 2 & 3-Dimensional/Relations
The learner will be able to describe, classify, and justify relationships among types of two- and three- dimensional objects using their defining properties.
Strand Bloom's Scope Source Activities
Standard 9.B Analysis, Evaluation Master IL Performance Descriptors: 9B. Stage G. Classroom
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Figures: Circles/Polygons/Solve Problems
The learner will be able to solve problems using properties of polygons and circles.
Strand Bloom's Scope Source Activities
Standard 9.B Application Master IL Performance Descriptors: 9B. Stage G. Classroom
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Three Dimensional Solids: Relationships
The learner will be able to determine the relationship among the number of edges, faces, and vertices in a three-dimensional object.
Strand Bloom's Scope Source Activities
Standard 9.B Analysis Master IL Performance Descriptors: 9B. Stage G. Classroom
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Properties: Quadrilaterals/Classify/Orde
The learner will be able to classify and order quadrilaterals according to their properties.
Strand Bloom's Scope Source Activities
Standard 9.B Analysis Master IL Performance Descriptors: 9B. Stage G. Classroom
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Standard 9.C
The learner will be able to construct convincing arguments and proofs to solve problems.
Strand Bloom's Scope Source Activities
Standard 9.C Synthesis Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 9.C Classroom
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Geometric Concepts: Relationships
The learner will be able to create and critique arguments concerning geometric ideas and relationships, such as the number of diagonals in a polygon, or the formula for the sum of the interior angles of any polygon.
Strand Bloom's Scope Source Activities
Standard 9.C Synthesis Master IL Performance Descriptors: 9C. Stage G. Classroom
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Properties: Test/Conjectures/Quadrilater
The learner will be able to make and test conjectures about the relationships between side length and angle measure in various triangles and quadrilaterals.
Strand Bloom's Scope Source Activities
Standard 9.C Evaluation Master IL Performance Descriptors: 9C. Stage G. Classroom
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Angles: Justify/Properties/Parallel Line
The learner will be able to justify the properties of angles formed by parallel lines cut by a transversal using appropriate terminology.
Strand Bloom's Scope Source Activities
Standard 9.C Evaluation Master IL Performance Descriptors: 9C. Stage G. Classroom
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Formulas: Area/Rectangle/Triangles
The learner will be able to justify the area formulas for triangles, parallelograms, and trapezoids based on the formula for the area of a rectangle.
Strand Bloom's Scope Source Activities
Standard 9.C Evaluation Master IL Performance Descriptors: 9C. Stage G. Classroom
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Standard 9.D
The learner will be able to use trigonometric ratios and circular functions to solve problems.
Strand Bloom's Scope Source Activities
Standard 9.D Application Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 9.D Classroom
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Pythagorean Relationships: Analyze
The learner will be able to analyze the relationship between sides of right triangles using the Pythagorean theorem.
Strand Bloom's Scope Source Activities
Standard 9.D Analysis Master IL Performance Descriptors: 9D. Stage G. Classroom
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Pythagorean Theorem: Problem Solving
The learner will be able to solve problems that involve the use of proportions and the Pythagorean theorem in similar right triangles with whole number side lengths.
Strand Bloom's Scope Source Activities
Standard 9.D Application Master IL Performance Descriptors: 9D. Stage G. Classroom
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Goal 10: Probability/Statistics

Standard 10.A
The learner will be able to organize, describe and make predictions from existing data.
Strand Bloom's Scope Source Activities
Standard 10.A Application Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 10.A Classroom
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Central Tendency: Quartile/Interquartile
The learner will be able to find, use, and interpret measures of center and spread, including interquartile range.
Strand Bloom's Scope Source Activities
Standard 10.A Application, Evaluation Master IL Performance Descriptors: 10A. Stage G. Classroom
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Stem-and-Leaf/Box-and-Whisker Plots
The learner will be able to construct, read, interpret, infer, predict, draw conclusions, and evaluate data from various displays, including box and whiskers plots.
Strand Bloom's Scope Source Activities
Standard 10.A Synthesis Master IL Performance Descriptors: 10A. Stage G. Classroom
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Graphs: Construct/Equivalent Forms
The learner will be able to construct an equivalent data representation given data in a different form.
Strand Bloom's Scope Source Activities
Standard 10.A Application Master IL Performance Descriptors: 10A. Stage G. Classroom
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Data Analysis: Bias
The learner will be able to recognize potential bias in data collection methods or data presentation.
Strand Bloom's Scope Source Activities
Standard 10.A Knowledge Master IL Performance Descriptors: 10A. Stage G. Classroom
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Standard 10.B
The learner will be able to formulate questions, design data collection methods, gather and analyze data and communicate findings.
Strand Bloom's Scope Source Activities
Standard 10.B Synthesis Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 10.B Classroom
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Data Collection: Appropriate/Methods
The learner will be able to choose and use appropriate techniques to gather data.
Strand Bloom's Scope Source Activities
Standard 10.B Application Master IL Performance Descriptors: 10B. Stage G. Classroom
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Analyzing Problems: Conjectures
The learner will be able to formulate new questions using conjectures and plan new studies to answer them.
Strand Bloom's Scope Source Activities
Standard 10.B Synthesis Master IL Performance Descriptors: 10B. Stage G. Classroom
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Standard 10.C
The learner will be able to determine, describe and apply the probabilities of events.
Strand Bloom's Scope Source Activities
Standard 10.C Application Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 10.C Classroom
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Probability: Create/Test/Conjectures
The learner will be able to make and test conjectures about the results of experiments and simulations using proportionality and basic understanding of probability.
Strand Bloom's Scope Source Activities
Standard 10.C Evaluation Master IL Performance Descriptors: 10C. Stage G. Classroom
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Probability: Simple/Compound
The learner will be able to compute probabilities for simple compound events using such methods as organized lists and tree diagrams.
Strand Bloom's Scope Source Activities
Standard 10.C Application Master IL Performance Descriptors: 10C. Stage G. Classroom
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Probability: Distinguish/Odds
The learner will be able to discuss odds versus probability.
Strand Bloom's Scope Source Activities
Standard 10.C Analysis Master IL Performance Descriptors: 10C. Stage G. Classroom
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