© 2005 by
Queen Bee School District 16
and
Scantron Corporation.
All Rights Reserved.
Made with
Curriculum Designer by
Scantron Corporation
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Queen Bee School District 16 |
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Math, June 2004 |
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Mathematics - Grade 5 |
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Properties: Recognize/Compute
The learner will be able to
recognize the commutative, associative, and distributive properties and apply them to compute with whole numbers.
| Strand |
Bloom's |
Scope |
Activities |
| Properties |
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Master |
Classroom
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Algebraic Concepts: Represent/Solve
The learner will be able to
represent and obtain solutions to problems through the application of algebraic concepts and procedures.
| Strand |
Bloom's |
Scope |
Activities |
| Algebraic Concepts |
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Master |
Classroom
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Algebraic Concepts: Describe/Solve
The learner will be able to
apply algebraic and analytical strategies to determine and describe patterns and relationships in data, obtain solutions to problems and predict results.
| Strand |
Bloom's |
Scope |
Activities |
| Algebraic Concepts |
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Master |
Classroom
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Rate: Recognize/Explain Change
The learner will be able to
recognize and explain scenarios with constant or varying rates of change and make comparisons of them.
| Strand |
Bloom's |
Scope |
Activities |
| Rates |
|
Master |
Classroom
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Variable: Illustrate/Letter/Symbol
The learner will be able to
illustrate the concept of a variable as an unknown quantity using a letter or a symbol.
| Strand |
Bloom's |
Scope |
Activities |
| Variable |
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Master |
Classroom
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Computation: Create/Apply
The learner will be able to
create and apply methods to estimate the results of whole number computations and to judge the reasonableness of results.
| Strand |
Bloom's |
Scope |
Activities |
| Computation |
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Master |
Classroom
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Computation: Choose/Strategies
The learner will be able to
choose suitable strategies and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil based upon the context and nature of the computation and apply the chosen strategy or tool.
| Strand |
Bloom's |
Scope |
Activities |
| Computation |
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Master |
Classroom
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Number Sense: Manipulatives
The learner will be able to
use manipulatives to demonstrate the following algebraic concepts: sets, elements of sets (a different shaped or colored manipulative can be used to represent a set of manipulatives), equal sets, variables representing unequal values (specific manipulatives can be used to equal five of another kind of manipulative), the symbolic nature of algebra, patterns in algebra, the connection between manipulatives and the written expressions they represent, and the concept of rules which govern how expressions can be manipulated.
| Strand |
Bloom's |
Scope |
Activities |
| Number Sense |
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Master |
Classroom
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Problem Solving: Real-World Scenarios
The learner will be able to
demonstrate an understanding of algebraic concepts by solving real-world scenario problems, and evaluate the nature and elements of problems, find solutions to given problems, and justify the solutions in writing, orally, or by using manipulatives.
| Strand |
Bloom's |
Scope |
Activities |
| Problem Solving |
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Master |
Classroom
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Solution Methods: Addition/Subtraction
The learner will be able to
describe procedures such as the following for addition and subtraction of whole numbers: mental arithmetic, estimation, computation, and using a calculator.
| Strand |
Bloom's |
Scope |
Activities |
| Solution Methods |
|
Master |
Classroom
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Number Sentence: Missing Element
The learner will be able to
determine which operational symbol is missing from an equation.
| Strand |
Bloom's |
Scope |
Activities |
| Number Sentence |
Knowledge |
Master |
Classroom
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Missing Element
The learner will be able to
identify the missing part of an equation.
| Strand |
Bloom's |
Scope |
Activities |
| Missing Information |
Knowledge |
Master |
Classroom
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Properties: Missing Number
The learner will be able to
identify the missing number in an equation.
| Strand |
Bloom's |
Scope |
Activities |
| Missing Information |
Knowledge |
Master |
Classroom
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Order of Operations: Determine
The learner will be able to
determine the correct order of calculations when more than one operation is to be performed.
| Strand |
Bloom's |
Scope |
Activities |
| Order of Operations |
Application |
Introduce |
Classroom
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Equations: Whole Numbers
The learner will be able to
identify the whole numbers that correspond to given whole number equations.
| Strand |
Bloom's |
Scope |
Activities |
| Equations |
Knowledge |
Master |
Classroom
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Multiple Step Problem: Whole Numbers
The learner will be able to
solve a problem with whole numbers which requires multiple operations.
| Strand |
Bloom's |
Scope |
Activities |
| Multiple-step Problems |
Comprehension |
Master |
Classroom
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Multiple Step Problems: Estimate
The learner will be able to
estimate solutions to multiple step problems using whole, fraction, and decimal numbers.
| Strand |
Bloom's |
Scope |
Activities |
| Multiple-step Problems |
Comprehension |
Master |
Classroom
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Multiple Step Story Problems
The learner will be able to
solve multiple step word problems using whole numbers and decimals.
| Strand |
Bloom's |
Scope |
Activities |
| Multiple-step Problems |
Application |
Master |
Classroom
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Create a Story Problem
The learner will be able to
use a given equation to develop a story problem.
| Strand |
Bloom's |
Scope |
Activities |
| Write/Create Story Problems |
Synthesis |
Introduce |
Classroom
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Write Real-World Problems: Multiply
The learner will be able to
orally compose and act out real-world multiplication number stories.
| Strand |
Bloom's |
Scope |
Activities |
| Write/Create Story Problems |
Synthesis |
Master |
Classroom
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Write Real-World Problems: Divide
The learner will be able to
orally compose and act out real-world division number stories.
| Strand |
Bloom's |
Scope |
Activities |
| Write/Create Story Problems |
Synthesis |
Master |
Classroom
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Multiple Step Problems: Writing
The learner will be able to
compose both problems and story problems requiring multiple operations.
| Strand |
Bloom's |
Scope |
Activities |
| Write/Create Story Problems |
Synthesis |
Introduce |
Classroom
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Exponents: Compose Multiple Step Problem
The learner will be able to
compose number sentences and word problems with multiple steps and exponents.
| Strand |
Bloom's |
Scope |
Activities |
| Exponents |
Synthesis |
Introduce |
Classroom
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Operations: Comprehend/Properties
The learner will be able to
comprehend the properties of operations.
| Strand |
Bloom's |
Scope |
Activities |
| Operations |
Comprehension |
Master |
Classroom
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Operations: Apply/Problem Solve
The learner will be able to
obtain solutions to problems by applying the relationships between operations.
| Strand |
Bloom's |
Scope |
Activities |
| Operations |
Application |
Master |
Classroom
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Operations: Identify/Problem Solve
The learner will be able to
obtain solutions to problems by identifying the relationships between operations.
| Strand |
Bloom's |
Scope |
Activities |
| Operations |
Application |
Master |
Classroom
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Operations: Apply/Properties
The learner will be able to
apply the properties of operations.
| Strand |
Bloom's |
Scope |
Activities |
| Operations |
Application |
Master |
Classroom
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Operations: Relationships
The learner will be able to
comprehend the relationships among operations.
| Strand |
Bloom's |
Scope |
Activities |
| Operations |
Comprehension |
Master |
Classroom
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Inverse Operations: Checking
The learner will be able to
check the correctness of an answer by using the inverse operation.
| Strand |
Bloom's |
Scope |
Activities |
| Inverse Operations |
Comprehension |
Master |
Classroom
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Formulas: Deriving
The learner will be able to
determine mathematical expressions from experiential rules.
| Strand |
Bloom's |
Scope |
Activities |
| Formulas |
Analysis |
Master |
Classroom
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Verify: Represent Results
The learner will be able to
use manipulatives, pictures, and discussion to determine the reasonableness of results from sums, differences, products, and quotients involving fractions, mixed numbers, and decimals.
| Strand |
Bloom's |
Scope |
Activities |
| Verify |
Comprehension |
Master |
Classroom
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Variables: Relationships
The learner will be able to
illustrate relationships through the use of variables.
| Strand |
Bloom's |
Scope |
Activities |
| Variable |
Comprehension |
Introduce |
Classroom
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Variables: Explore/Change
The learner will be able to
explore how a change in one variable relates to a change in another variable.
| Strand |
Bloom's |
Scope |
Activities |
| Variable |
Analysis |
Master |
Classroom
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Computation: Fluency
The learner will be able to
compute fluently.
| Strand |
Bloom's |
Scope |
Activities |
| Computation |
Application |
Master |
Classroom
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Multiplication/Division: Methods
The learner will be able to
describe procedures such as the following for multiplication and division of whole numbers: mental arithmetic, estimation, computation, and using a calculator.
| Strand |
Bloom's |
Scope |
Activities |
| Solution Methods |
Comprehension |
Master |
Classroom
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Solution Methods: Describing
The learner will be able to
describe estimating, computing, and mental math procedures for fractions, decimals, and mixed numbers.
| Strand |
Bloom's |
Scope |
Activities |
| Solution Methods |
Comprehension |
Master |
Classroom
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Bar Graphs: Identify/Compare
The learner will be able to
identify or compare amounts in a bar graph.
| Strand |
Bloom's |
Scope |
Activities |
| Bar Graphs |
|
Master |
Classroom
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Line Graphs
The learner will be able to
identify, compare, and analyze points on a line graph.
| Strand |
Bloom's |
Scope |
Activities |
| Line Graphs |
|
Master |
Classroom
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Line/Circle Graphs
The learner will be able to
interpret data from circle/pie and line graphs, including identifying values from the graph, determining that addition or subtraction is needed to find an answer, and comparing values from the graph.
| Strand |
Bloom's |
Scope |
Activities |
| Line Graphs |
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Master |
Classroom
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Table: Compute
The learner will be able to
identify values from the graph, compare values from the graph, determine the value of multiple entries, and perform the necessary calculations to find the missing parts of a table.
| Strand |
Bloom's |
Scope |
Activities |
| Tables/Charts |
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Master |
Classroom
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Graphs: Create/Plots/Tables
The learner will be able to
make graphs, plots, and tables.
| Strand |
Bloom's |
Scope |
Activities |
| Graphing |
|
Master |
Classroom
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Evaluating: Graphical Forms
The learner will be able to
evaluate a given graph to determine if the information is reasonable, if the graph format is the most effective one for the type of information presented, and to find possible inconsistencies in the information contained in the graph.
| Strand |
Bloom's |
Scope |
Activities |
| Analyzing/Evaluating Graphical Forms |
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Master |
Classroom
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Circle Graphs: Identify
The learner will be able to
identify amounts shown in a circle graph.
| Strand |
Bloom's |
Scope |
Activities |
| Circle Graphs |
Knowledge |
Master |
Classroom
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Circle Graphs: Interpret
The learner will be able to
draw logical conclusions from interpreting data in a circle graph.
| Strand |
Bloom's |
Scope |
Activities |
| Circle Graphs |
Analysis |
Master |
Classroom
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Circle Graphs: Percents
The learner will be able to
determine percents when given fractional amounts (1/4, 1/3, 1/2, 3/4 ) on a circle graph.
| Strand |
Bloom's |
Scope |
Activities |
| Circle Graphs |
Application |
Introduce |
Classroom
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Bar Graphs: Addition/Subtraction
The learner will be able to
add or subtract information presented in the form of a bar graph.
| Strand |
Bloom's |
Scope |
Activities |
| Bar Graphs |
Application |
Reinforce |
Classroom
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Pictographs: Analyze
The learner will be able to
analyze data on a pictograph.
| Strand |
Bloom's |
Scope |
Activities |
| Pictographs |
Analysis |
Master |
Classroom
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Chart/Graph: Understand/Labels
The learner will be able to
understand labels given on graphs, tables, and charts.
| Strand |
Bloom's |
Scope |
Activities |
| Tables/Charts |
Comprehension |
Master |
Classroom
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Table: Addition
The learner will be able to
add amounts from a table.
| Strand |
Bloom's |
Scope |
Activities |
| Tables/Charts |
Application |
Reinforce |
Classroom
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Chart/Graph: Understand/Scale
The learner will be able to
understand scales given on graphs, tables, and charts.
| Strand |
Bloom's |
Scope |
Activities |
| Tables/Charts |
Comprehension |
Reinforce |
Classroom
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Charts: Draw Conclusion
The learner will be able to
draw conclusions and make inferences from information presented in charts.
| Strand |
Bloom's |
Scope |
Activities |
| Tables/Charts |
Analysis |
Master |
Classroom
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Logical Reasoning: Draw Conclusion
The learner will be able to
draw a logical conclusion based on data presented in graphical format.
| Strand |
Bloom's |
Scope |
Activities |
| Logical Reasoning |
Analysis |
Master |
Classroom
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Graphs: Write Story Problems
The learner will be able to
write a story problem based on information presented in a graph.
| Strand |
Bloom's |
Scope |
Activities |
| Graphing |
Synthesis |
Master |
Classroom
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Graphs: Create a Chart
The learner will be able to
use given data to create graphs, plots and tables.
| Strand |
Bloom's |
Scope |
Activities |
| Tables/Charts |
Synthesis |
Master |
Classroom
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Graphs: Applications
The learner will be able to
determine the correct use of graphs, plots, and tables.
| Strand |
Bloom's |
Scope |
Activities |
| Graphing |
Application |
Master |
Classroom
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Data Collection: Organization
The learner will be able to
organize data in many different ways.
| Strand |
Bloom's |
Scope |
Activities |
| Data Collection and Classification |
Application |
Master |
Classroom
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Graphs: Data/Story Problems
The learner will be able to
interpret graphical data to solve story problems.
| Strand |
Bloom's |
Scope |
Activities |
| Analyzing/Evaluating Graphical Forms |
Analysis |
Master |
Classroom
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Addition Story Problems
The learner will be able to
analyze and solve decimal story problems which depict real-world scenarios by determining that addition is required, by regrouping numbers, and by adding decimals up to the hundredths position.
| Strand |
Bloom's |
Scope |
Activities |
| Add Decimals |
|
Master |
Classroom
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Problem Solving: Application
The learner will be able to
use manipulatives and calculators to solve real-world scenario problems which call for the rounding, addition, subtraction, multiplication, and division of decimals. This process includes evaluating a given problem scenario, identifying the problem, determining the required operation, setting up a number sentence, and solving the problem.
| Strand |
Bloom's |
Scope |
Activities |
| Problem Solving |
|
Master |
Classroom
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Problem Solving: Application
The learner will be able to
evaluate, solve, and justify solutions for real-world mathematical problems which include ambiguous circumstances.
| Strand |
Bloom's |
Scope |
Activities |
| Problem Solving |
|
Master |
Classroom
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Connecting: Forms
The learner will be able to
connect concepts relating decimals, whole numbers, fractions, and percents by demonstrating how these number forms are used to communicate place value, ordinality, and money amounts, and to evaluate the reasonableness of a given problem and solution.
| Strand |
Bloom's |
Scope |
Activities |
| Connecting |
|
Master |
Classroom
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Number Sense: Place Value
The learner will be able to
demonstrate a sense of place value by analyzing a decimal number with missing digits, and then altering it appropriately to satisfy certain conditions.
| Strand |
Bloom's |
Scope |
Activities |
| Number Sense |
|
Master |
Classroom
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Number Sense: Context
The learner will be able to
conceptualize decimal numbers and operations (addition, subtraction, multiplication, division) in a contextual way, articulating the values, proportions, and real-world situations which the decimal numbers and operations represent.
| Strand |
Bloom's |
Scope |
Activities |
| Number Sense |
|
Master |
Classroom
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Add/Subtract 2 Numbers: 1-2 Decimals
The learner will be able to
add or subtract 2 numbers with 1-2 decimals as part of real-world scenarios (regrouping when necessary).
| Strand |
Bloom's |
Scope |
Activities |
| Add Decimals |
Application |
Master |
Classroom
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Addition/Subtraction Story Problems
The learner will be able to
solve addition or subtraction story problems depicting real-world money and other decimal scenarios by determining that addition or subtraction is required, by regrouping, and by adding or subtracting the appropriate decimal numbers (numbers are less than 100).
| Strand |
Bloom's |
Scope |
Activities |
| Subtract Decimals |
Application |
Master |
Classroom
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Add/Subtract Decimals: Solution Methods
The learner will be able to
use manipulatives, mental math, and calculators to find sums and differences of decimals.
| Strand |
Bloom's |
Scope |
Activities |
| Add/Subtract Decimals |
Application |
Master |
Classroom
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Multiply/Divide Decimals
The learner will be able to
multiply and divide decimals.
| Strand |
Bloom's |
Scope |
Activities |
| Multiply/Divide Decimals |
Application |
Master |
Classroom
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Multiplication Story Problems
The learner will be able to
solve real-world story problems by determining that multiplication is required, by regrouping the numbers, and by multiplying the appropriate decimals up to the hundredths position.
| Strand |
Bloom's |
Scope |
Activities |
| Multiply Decimals |
Application |
Introduce |
Classroom
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Decimals: Represent
The learner will be able to
represent decimals.
| Strand |
Bloom's |
Scope |
Activities |
| Decimals |
Application |
Master |
Classroom
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Division Story Problems
The learner will be able to
solve story problems by dividing decimals up to the hundredths position.
| Strand |
Bloom's |
Scope |
Activities |
| Divide Decimals |
Application |
Introduce |
Classroom
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Number Sense: Using Decimals
The learner will be able to
articulate the reasoning behind placing the decimal point in the appropriate position when evaluating number sentences involving operations on decimals.
| Strand |
Bloom's |
Scope |
Activities |
| Number Sense |
Comprehension |
Master |
Classroom
|
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Order Decimals: Up to Hundredths
The learner will be able to
order decimal numbers to the hundredths place.
| Strand |
Bloom's |
Scope |
Activities |
| Compare Decimals |
Application |
Master |
Classroom
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Compare Decimals: Up to 0.001
The learner will be able to
compare decimal numbers up to the thousandths place (0.001) using the order symbols (<, >, =).
| Strand |
Bloom's |
Scope |
Activities |
| Compare Decimals |
Analysis |
Master |
Classroom
|
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Rounding Decimals
The learner will be able to
round decimals to the nearest whole number, tenth, hundredth or thousandth.
| Strand |
Bloom's |
Scope |
Activities |
| Reasoning/Estimation |
|
Master |
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