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Robein School District 85 |
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CURRICULUM GUIDE |
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Mathematics - Grade 3 |
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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, Early Elementary, Standard 6.A |
Classroom
Home
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Equivalent Forms: Whole Numbers
The learner will be able to
recognize equivalent representations of whole numbers and generate them by composing and decomposing numbers (e.g., 123 = 100 + 20 + 3).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 6.A |
Comprehension |
Master |
IL Performance Descriptors: 6A. Stage C. |
Classroom
Home
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Fractions: Compare
The learner will be able to
represent, order, label, and compare familiar fractions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 6.A |
Analysis |
Master |
IL Performance Descriptors: 6A. Stage C. |
Classroom
Home
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Equivalent Fractions: Generate/familiar
The learner will be able to
recognize and generate equivalent forms of familiar fractions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 6.A |
Synthesis |
Master |
IL Performance Descriptors: 6A. Stage C. |
Classroom
Home
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Decimals: Use/Explore/Uses of
The learner will be able to
explore and discuss uses of decimals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 6.A |
Comprehension |
Master |
IL Performance Descriptors: 6A. Stage C. |
Classroom
Home
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Equivalent Forms: Fractions/Judge Size
The learner will be able to
judge the size of fractions using models, benchmarks, and equivalent forms.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 6.A |
Evaluation |
Master |
IL Performance Descriptors: 6A. Stage C. |
Classroom
Home
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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, Early Elementary, Standard 6.B |
Classroom
Home
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Operations: Properties/Relationships
The learner will be able to
explore, identify, and use relationships between and among properties of operations (e.g., commutativity applies to addition but not to subtraction).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 6.B |
Application |
Master |
IL Performance Descriptors: 6B. Stage C. |
Classroom
Home
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Computation: Fluency/Multi/Div
The learner will be able to
demonstrate fluency with basic multiplication and division facts.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 6.B |
Application |
Master |
IL Performance Descriptors: 6B. Stage C. |
Classroom
Home
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Scientific Notation: Multiply/Divide
The learner will be able to
demonstrate and describe the effects of multiplying and dividing whole numbers using appropriate mathematical notation and vocabulary.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 6.B |
Application |
Master |
IL Performance Descriptors: 6B. Stage C. |
Classroom
Home
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Algorithms: Select/Use/Add/Subtract
The learner will be able to
select and use one of various algorithms to add and subtract.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 6.B |
Application |
Master |
IL Performance Descriptors: 6B. Stage C. |
Classroom
Home
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Number Facts: Multiplication/related
The learner will be able to
apply knowledge of basic multiplication facts (factors 0-10) to related facts (e.g., 3 X 4 = 12, 30 X 4 = 120, 300 X 4 = 1200).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 6.B |
Application |
Master |
IL Performance Descriptors: 6B. Stage C. |
Classroom
Home
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Multiplication/Division Relationships
The learner will be able to
show and use the relationship between multiplication and division.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 6.B |
Application |
Master |
IL Performance Descriptors: 6B. Stage C. |
Classroom
Home
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Number Sentences: Solve/Word Problems
The learner will be able to
solve multiplication and division number sentences and word problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 6.B |
Application |
Master |
IL Performance Descriptors: 6B. Stage C. |
Classroom
Home
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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, Early Elementary, Standard 6.C |
Classroom
Home
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Strategies: Rounding/Whole-number
The learner will be able to
develop and use strategies (i.e. rounding) to estimate the results of whole-number computations and to judge the reasonableness of such results.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 6.C |
Application |
Master |
IL Performance Descriptors: 6C. Stage C. |
Classroom
Home
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Computing: Whole Numbers
The learner will be able to
select appropriate methods and tools for computing with whole numbers from mental computation, estimation, calculators, and paper/penceil according to the context and nature of the computation and use the selected method or tool.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 6.C |
Application |
Master |
IL Performance Descriptors: 6C. Stage C. |
Classroom
Home
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Estimate: Solution/Appropriate
The learner will be able to
determine whether exact answers or estimates are appropriate for solutions to problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 6.C |
Application |
Master |
IL Performance Descriptors: 6C. Stage C. |
Classroom
Home
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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, Early Elementary, Standard 6.D |
Classroom
Home
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Data: Explain/Relationship/Two Sets
The learner will be able to
describe the relationship between two sets using the symbols for "greater than", "lesser than" and "equal to", "not equal to".
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 6.D |
Comprehension |
Master |
IL Performance Descriptors: 6D. Stage C. |
Classroom
Home
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Money: Decimal Notation
The learner will be able to
use decimals to express money amounts.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Money |
Application |
Master |
Foundations of Learning, January 1999, Grade 3 week tested: 28. |
Classroom
Home
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Money: Represent/Compare Decimals
The learner will be able to
represent and compare decimal amounts using money.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Money |
Analysis |
Master |
Foundations of Learning, January 1999, Grade 3 week tested: 28. |
Classroom
Home
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Place Value: Applications
The learner will be able to
determine the value of a number given clues about the place value of the numbers which comprise it.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Place Value |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 3 week tested: 28. |
Classroom
Home
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Number Forms: Translating
The learner will be able to
translate numbers between their word name (one) and numeric (1) form.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Number Forms |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 3 week tested: 28. |
Classroom
Home
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Number Forms: Values
The learner will be able to
demonstrate the different number forms and values a number can have (i.e., five, 5, 4+1, 2+3, etc.).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Number Forms |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 3 week tested: 28. |
Classroom
Home
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Odd/Even: Grouping
The learner will be able to
apply the concept of odd and even numbers by grouping numbers in odd and/or even categories.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Odd and Even |
Application |
Master |
Applications of Learning, January 1999, Grade 3 week tested: 28. |
Classroom
Home
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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, Early Elementary, Standard 7.A |
Classroom
Home
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Units of Measurement: Standardized
The learner will be able to
explain the need for using standard units for measuring.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 7.A |
Comprehension |
Master |
IL Performance Descriptors: 7A. Stage C. |
Classroom
Home
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Perimeter: Linear Relations/Perimeter
The learner will be able to
show and explain perimeter of an object by measuring and adding its linear units.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 7.A |
Analysis |
Master |
IL Performance Descriptors: 7A. Stage C. |
Classroom
Home
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Measurement Concepts: Attributes
The learner will be able to
describe mutiple measurable attributes (e.g., length, mass/weight, time, temperature, area, volume, capacity) of a single object.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 7.A |
Comprehension |
Master |
IL Performance Descriptors: 7A. Stage C. |
Classroom
Home
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Money: Change
The learner will be able to
make change from a given amount using bills and coins.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 7.A |
Application |
Master |
IL Performance Descriptors: 7A. Stage C. |
Classroom
Home
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Area: Explain/Square Units
The learner will be able to
show and explain the area of an object by counting square units.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 7.A |
Analysis |
Master |
IL Performance Descriptors: 7A. Stage C. |
Classroom
Home
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Units: Apply/Metric/Standard
The learner will be able to
measure objects using standard units in the U.S. customary and metric systems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 7.A |
Application |
Master |
IL Performance Descriptors: 7A. Stage C. |
Classroom
Home
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Measurement Analysis: Unit Conversion
The learner will be able to
perform simple unit conversions within a system of measurement (e.g., three feet is the same as a yard).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 7.A |
Application |
Master |
IL Performance Descriptors: 7A. Stage C. |
Classroom
Home
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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, Early Elementary, Standard 7.B |
Classroom
Home
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Measurement Estimation: Referents/Linear
The learner will be able to
develop and use common referents for linear measures to make comparisons and estimates.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 7.B |
Application |
Master |
IL Performance Descriptors: 7B. Stage C. |
Classroom
Home
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Estimate Perimeter: Polygons
The learner will be able to
estimate perimeter of simple polygons.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 7.B |
Comprehension |
Master |
IL Performance Descriptors: 7B. Stage C. |
Classroom
Home
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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, Early Elementary, Standard 7.C |
Classroom
Home
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Measurement Application: Appropriate
The learner will be able to
select and apply appropriate standard units and tools to measure length, area, volume, weight, time, and temperature.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 7.C |
Application |
Master |
IL Performance Descriptors: 7C. Stage C. |
Classroom
Home
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Time: Elapsed/Determine
The learner will be able to
determine elapsed time between events.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 7.C |
Analysis |
Master |
IL Performance Descriptors: 7C. Stage C. |
Classroom
Home
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Area/Perimeter: Polygons/Solve
The learner will be able to
solve problems using perimeter and area of simple polygons.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 7.A |
Application |
Master |
IL Performance Descriptors: 7C. Stage C. |
Classroom
Home
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Temperature Concepts: Discuss/Vocab
The learner will be able to
discuss temperature using common vocabulary and notation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 7.C |
Comprehension |
Master |
IL Performance Descriptors: 7C. Stage C. |
Classroom
Home
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Goal 8: Algebraic Concepts
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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, Early Elementary, Standard 8.A |
Classroom
Home
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Equations: Express/Relationships
The learner will be able to
express mathematical relationships using equations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 8.A |
Application |
Master |
IL Performance Descriptors: 8A. Stage C. |
Classroom
Home
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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, Early Elementary, Standard 8.B |
Classroom
Home
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Relationships: Constant/Rates/Describe
The learner will be able to
describe situations with constant rates of change using words, tables, and graphs (e.g., walking at a constant rate of speed).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 8.B |
Comprehension |
Master |
IL Performance Descriptors: 8B. Stage C. |
Classroom
Home
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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, Early Elementary, Standard 8.C |
Classroom
Home
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Fact Families: Relationships/Solve
The learner will be able to
apply the relationship of fact families to solve for an unknown quantity.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 8.C |
Application |
Master |
IL Performance Descriptors: 8C. Stage C. |
Classroom
Home
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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, Early Elementary, Standard 8.D |
Classroom
Home
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Operations: Determine Patterns
The learner will be able to
demonstrate how to select and use an appropriate operation to solve problems involving patterns (e.g., save one penny on day 1, double that amount each day for 10 days).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 8.D |
Application |
Master |
IL Performance Descriptors: 8D. Stage C. |
Classroom
Home
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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, Early Elementary, Standard 9.A |
Classroom
Home
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Polygons: Identify/Draw/Build
The learner will be able to
identify, draw, and build polygons.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 9.A |
Knowledge |
Master |
IL Performance Descriptors: 9A. Stage C. |
Classroom
Home
|
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Coordinate System: Specify Locations
The learner will be able to
specify locations using a coordinate system.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 9.A |
Knowledge |
Master |
IL Performance Descriptors: 9A. Stage C. |
Classroom
Home
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Shapes: Describe/Translations/Rotations
The learner will be able to
predict and describe the results of translations, rotations, and reflections of two-dimensional shapes.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 9.A |
Comprehension |
Master |
IL Performance Descriptors: 9A. Stage C. |
Classroom
Home
|
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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, Early Elementary, Standard 9.B |
Classroom
Home
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Figures: Decompose/2 and 3 Dimensional
The learner will be able to
decompose a three- dimensional object into two- dimensional components.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 9.B |
Synthesis |
Master |
IL Performance Descriptors: 9B. Stage C. |
Classroom
Home
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Congruence/Difference/Similarity
The learner will be able to
describe the difference between congruence and similarity.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 9.B |
Comprehension |
Master |
IL Performance Descriptors: 9B. Stage C. |
Classroom
Home
|
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Shapes: Congruent/Motion
The learner will be able to
describe a motion or a series of motions that will show that two shapes are congruent.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 9.B |
Comprehension |
Master |
IL Performance Descriptors: 9B. Stage C. |
Classroom
Home
|
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Figures: Construct/2 Dimensional to 3
The learner will be able to
identify and build a three- dimensional object from two- dimensional representations of that object.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 9.B |
Synthesis |
Master |
IL Performance Descriptors: 9B. Stage C. |
Classroom
Home
|
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Geometric Concepts: Relationships
The learner will be able to
apply geometric ideas and relationships to problems that arise in the classroom or in everyday life.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 9.C |
Application |
Master |
IL Performance Descriptors: 9B. Stage C. |
Classroom
Home
|
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Geometric Relationships: Apply
The learner will be able to
apply geometric ideas and relationships to other disciplines.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 9.B |
Application |
Master |
IL Performance Descriptors: 9B. Stage C. |
Classroom
Home
|
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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, Early Elementary, Standard 9.C |
Classroom
Home
|
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Properties: Relationships/Conclusions
The learner will be able to
make and test conjectures about mathematical properties and relationships and justify the conclusions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 9.C |
Synthesis |
Master |
IL Performance Descriptors: 9C. Stage C. |
Classroom
Home
|
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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, Early Elementary, Standard 9.D |
Classroom
Home
|
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Goal 10: Probability/Statistics
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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, Early Elementary, Standard 10.A |
Classroom
Home
|
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Data Analysis: Predictions from data
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 Performance Descriptors: 10A. Stage C. |
Classroom
Home
|
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Data Analysis: Representation
The learner will be able to
represent data using tables and graphs such as tallies and bar graphs.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 10.A |
Knowledge |
Master |
IL Performance Descriptors: 10A. Stage C. |
Classroom
Home
|
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Survey: Create/Administer
The learner will be able to
create and administer a survey that answers real life questions considering how many and what kind of questions will be asked and how the answers will be recorded.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 10.A |
Synthesis |
Master |
IL Performance Descriptors: 10A. Stage C. |
Classroom
Home
|
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Mean/Median: Determine/Data/Graph
The learner will be able to
determine the median of data on a graph.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 10.A |
Analysis |
Master |
IL Performance Descriptors: 10A. Stage C. |
Classroom
Home
|
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Graphing: Describe/Representation
The learner will be able to
describe the important features of a set of data represented by a graph.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 10.A |
Comprehension |
Master |
IL Performance Descriptors: 10A. Stage C. |
Classroom
Home
|
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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, Early Elementary, Standard 10.B |
Classroom
Home
|
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Survey: Propose/Follow-up
The learner will be able to
propose a follow-up survey to investigate questions that arise from the initial survey.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 10.B |
Synthesis |
Master |
IL Performance Descriptors: 10B. Stage C. |
Classroom
Home
|
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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, Early Elementary, Standard 10.C |
Classroom
Home
|
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Chance: Describe/Likely/Unlikely Events
The learner will be able to
describe events as likely or unlikely and discuss the degree of likelihood using such words as certain, equally likely, and impossible.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 10.C |
Comprehension |
Master |
IL Performance Descriptors: 10C. Stage C. |
Classroom
Home
|
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Probability: Fraction Form
The learner will be able to
explain probability as a fractional part of a group to the whole group (e.g., A tossed coin can land on heads or tails. Therefore, it should land on heads 1/2 of the time).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 10.C |
Comprehension |
Master |
IL Performance Descriptors: 10C. Stage C. |
Classroom
Home
|
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Probability: Make Predictions
The learner will be able to
make predictions based on the results received from a probability experiment.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 10.C |
Application |
Master |
IL Performance Descriptors: 10C. Stage C. |
Classroom
Home
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Probability: Create/Experiment
The learner will be able to
create and perform a probability experiment (e.g., a penny is flipped 100 times) and record the results.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 10.C |
Synthesis |
Master |
IL Performance Descriptors: 10C. Stage C. |
Classroom
Home
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Theoretical/Experimental Probability
The learner will be able to
understand that the measure of the likelihood of an event can be represented by a number from zero to one, inclusive.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Standard 10.C |
Analysis |
Master |
IL Performance Descriptors: 10C. Stage C. |
Classroom
Home
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