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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
Standard 7.B Analysis Master IL. Learning Standards, 1997, Middle/Junior High School, Standard 7.B Classroom
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Measurement: Estimate/Accuracy
The learner will be able to estimate distance, weight, temperature, and elapsed time using reasonable units and with acceptable levels of accuracy.
Strand Bloom's Scope Source Activities
Standard 7.B Application Master IL Performance Descriptors: 7B. Stage F. 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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Area: Justify/Formula/Triangle/Trapezoid
The learner will be able to select and justify an appropriate formula to find the area of triangles, parallelograms, and trapezoids.
Strand Bloom's Scope Source Activities
Standard 7.C Evaluation Master IL Performance Descriptors: 7C. Stage F. Classroom
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Area/Volume: Select Formula/Strategy
The learner will be able to select an appropriate formula or strategy to find the surface area and volume of rectangular and triangular prisms.
Strand Bloom's Scope Source Activities
Standard 7.C Analysis Master IL Performance Descriptors: 7C. Stage F. 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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Sequences: Geometric and Numerical
The learner will be able to investigate, extend, and describe arithmetic and geometric sequences of numbers whether presented in numeric or pictorial form.
Strand Bloom's Scope Source Activities
Standard 8.A Comprehension Master IL Performance Descriptors: 8A. Stage F. Classroom
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Algebraic Expressions: Evaluate/Values
The learner will be able to evaluate algebraic expressions for given values.
Strand Bloom's Scope Source Activities
Standard 8.A Evaluation Master IL Performance Descriptors: 8A. Stage F. Classroom
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Properties: Variables/Commutative
The learner will be able to express properties of numbers and operations using variables (e.g., the commutative property is m + n = n + m).
Strand Bloom's Scope Source Activities
Standard 8.A Comprehension Master IL Performance Descriptors: 8A. Stage F. Classroom
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Equations: Algebraic Express/Like Terms
The learner will be able to simplify algebraic expressions involving like terms.
Strand Bloom's Scope Source Activities
Standard 8.A Comprehension Master IL Performance Descriptors: 8A. Stage F. 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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Number Line: Graph/Inequalities
The learner will be able to graph simple inequalities on a number line.
Strand Bloom's Scope Source Activities
Standard 8.B Synthesis Master IL Performance Descriptors: 8B. Stage F. Classroom
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Functions/Relations: Ordered Pairs
The learner will be able to describe, verbally, symbolically, and graphically a simple relationship presented by a set of ordered pairs of numbers.
Strand Bloom's Scope Source Activities
Standard 8.B Comprehension Master IL Performance Descriptors: 8B. Stage F. Classroom
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Cartesian Plane: Create/Table/Linear/Plo
The learner will be able to create a table of values that satisfy a simple linear equation and plot the points on the Cartesian plane.
Strand Bloom's Scope Source Activities
Standard 8.B Synthesis Master IL Performance Descriptors: 8B. Stage F. 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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Inverse Operations: Identify
The learner will be able to identify and provide examples of inverse operations.
Strand Bloom's Scope Source Activities
Standard 8.C Comprehension Master IL Performance Descriptors: 8C. Stage F. Classroom
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Operations: Division by Zero/Undefined
The learner will be able to explain why division by zero is undefined.
Strand Bloom's Scope Source Activities
Standard 8.C Comprehension Master IL Performance Descriptors: 8C. Stage F. Classroom
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Properties: Identity/Addition/Multiplica
The learner will be able to identify and provide examples of the identity property of addition and multiplication.
Strand Bloom's Scope Source Activities
Standard 8.C Application Master IL Performance Descriptors: 8C. Stage F. Classroom
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Properties: Identify/Explain/Incorrect
The learner will be able to identify and explain incorrect uses of the commutative, associative, and distributive properties.
Strand Bloom's Scope Source Activities
Standard 8.C Analysis Master IL Performance Descriptors: 8C. Stage F. 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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Algebraic Equations: Using Concrete
The learner will be able to create, model, and solve algebraic equations using concrete materials.
Strand Bloom's Scope Source Activities
Standard 8.D Synthesis Master IL Performance Descriptors: 8D. Stage F. Classroom
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Linear Equations: Use Graphics
The learner will be able to solve linear equations, including direct variation with whole number coefficients and solutions using algebraic or graphical representations.
Strand Bloom's Scope Source Activities
Standard 8.D Application Master IL Performance Descriptors: 8D. Stage F. 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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Ordered Pairs: Recognize/Plot
The learner will be able to plot and read ordered pairs of numbers in all four quadrants.
Strand Bloom's Scope Source Activities
Standard 9.A Application Master IL Performance Descriptors: 9A. Stage F. Classroom
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Angle Relationships
The learner will be able to solve problems for unknown angle measures using angle relationships and properties of triangles and quadrilaterals.
Strand Bloom's Scope Source Activities
Standard 9.A Application Master IL Performance Descriptors: 9A. Stage F. Classroom
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Circle Concepts: Value of pi
The learner will be able to determine and describe the relationship between pi, the diameter, the radius, and the circumference of a circle.
Strand Bloom's Scope Source Activities
Standard 9.A Analysis Master IL Performance Descriptors: 9A. Stage F. Classroom
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Constructions: Straightedge/Compass
The learner will be able to perform simple constructions (e.g., equal segments, angle and segment bisectors, or perpendicular lines, inscribing a hexagon in a circle) with a compass and straightedge or a mira.
Strand Bloom's Scope Source Activities
Standard 9.A Analysis Master IL Performance Descriptors: 9A. Stage F. Classroom
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Transformations: Dilations
The learner will be able to describe sizes, positions, and orientations of shapes under transformations, including dilations.
Strand Bloom's Scope Source Activities
Standard 9.A Comprehension Master IL Performance Descriptors: 9A. Stage F. 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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Angles: Vertical/Compementary/Supplement
The learner will be able to solve problems that involve vertical, complementary, and supplementary angles.
Strand Bloom's Scope Source Activities
Standard 9.B Application Master IL Performance Descriptors: 9B. Stage F. Classroom
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Figures: Quadrilaterals/Analyze
The learner will be able to analyze quadrilaterals for defining characteristics.
Strand Bloom's Scope Source Activities
Standard 9.B Analysis Master IL Performance Descriptors: 9B. Stage F. Classroom
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Two/Three Dimensional: Create/Construct
The learner will be able to create a three-dimensional object from any two-dimensional representation of the object, including multiple views, nets, or technological representations.
Strand Bloom's Scope Source Activities
Standard 9.B Synthesis Master IL Performance Descriptors: 9B. Stage F. Classroom
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Angles: Vertices
The learner will be able to determine the relationships between the number of vertices or sides in a polygon, the number of diagonals, and the sum of its angles.
Strand Bloom's Scope Source Activities
Standard 9.B Analysis Master IL Performance Descriptors: 9B. Stage F. 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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Angles: Justify/180 Degrees/Triangle
The learner will be able to justify that the sum of the angles of a triangle is 180 degrees.
Strand Bloom's Scope Source Activities
Standard 9.C Evaluation Master IL Performance Descriptors: 9C. Stage F. Classroom
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Angles: Vertical
The learner will be able to justify the relationship between vertical angles.
Strand Bloom's Scope Source Activities
Standard 9.C Evaluation Master IL Performance Descriptors: 9C. Stage F. Classroom
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Triangle Inequality: Relationships
The learner will be able to make and test conjectures about various quadrilateral and triangle relationships, including the triangle inequality.
Strand Bloom's Scope Source Activities
Standard 9.C Evaluation Master IL Performance Descriptors: 9C. Stage F. 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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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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Communicating: Circle Graphs/Displays
The learner will be able to construct, read, interpret, infer, predict, draw conclusions, and evaluate data from various displays, including circle graphs.
Strand Bloom's Scope Source Activities
Standard 10.A Evaluation Master IL Performance Descriptors: 10A. Stage F. Classroom
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Statistics: Misleading Displays of Data
The learner will be able to recognize and explain misleading displays of data due to inappropriate intervals on a scale.
Strand Bloom's Scope Source Activities
Standard 10.A Analysis Master IL Performance Descriptors: 10A. Stage F. 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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Experiments/Simulations: Simple
The learner will be able to conduct simple simulations to gather data and communicate findings.
Strand Bloom's Scope Source Activities
Standard 10.B Application Master IL Performance Descriptors: 10B. Stage F. Classroom
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Data Collection: Collect/Over Time
The learner will be able to collect data over time with or without technology.
Strand Bloom's Scope Source Activities
Standard 10.B Knowledge Master IL Performance Descriptors: 10B. Stage F. 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: Fractions/Decimals/Percents
The learner will be able to record probabilities as fractions, decimals, or percents.
Strand Bloom's Scope Source Activities
Standard 10.C Knowledge Master IL Performance Descriptors: 10C. Stage F. Classroom
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Probability: Sum Equals One
The learner will be able to demonstrate that the sum of all probabilities equals one.
Strand Bloom's Scope Source Activities
Standard 10.C Application Master IL Performance Descriptors: 10C. Stage F. Classroom
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Probability: Empirical/Data Set
The learner will be able to determine empirical probabilities from a set of data provided.
Strand Bloom's Scope Source Activities
Standard 10.C Analysis Master IL Performance Descriptors: 10C. Stage F. Classroom
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Probability: Simulations/Model
The learner will be able to set up a simulation to model the probability of a single event.
Strand Bloom's Scope Source Activities
Standard 10.C Synthesis Master IL Performance Descriptors: 10C. Stage F. Classroom
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Theoretical Probability: Sample Size
The learner will be able to discuss the effect of sample size on the empirical probability compared to the theoretical probability.
Strand Bloom's Scope Source Activities
Standard 10.C Comprehension, Analysis Master IL Performance Descriptors: 10C. Stage F. Classroom
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Outcomes: Tree Diagram
The learner will be able to list outcomes by a variety of methods (e.g., tree diagram.).
Strand Bloom's Scope Source Activities
Standard 10.C Analysis Master IL Performance Descriptors: 10C. Stage F. Classroom
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Probability: Theoretical/Simple Events
The learner will be able to determine theoretical probabilities of simple events.
Strand Bloom's Scope Source Activities
Standard 10.C Analysis Master IL Performance Descriptors: 10C. Stage F. Classroom
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