© 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 4 |
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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, and the connection between manipulatives and the written expressions they represent.
| Strand |
Bloom's |
Scope |
Activities |
| Number Sense |
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Master |
Classroom
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Translate Problems
The learner will be able to
listen to a given scenario, consider the elements of the scenario, determine the missing factor, and write a number sentence which represents the scenario.
| Strand |
Bloom's |
Scope |
Activities |
| Relating Number Sentences/Problems |
|
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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Identify Operation: Justify
The learner will be able to
justify the use of a specific operation in solving a given problem.
| Strand |
Bloom's |
Scope |
Activities |
| Identify Sentence |
Evaluation |
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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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 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
determine whether word problems depicting real-world scenarios require addition, subtraction, and/or multiplication to be solved (numbers are less than 100 and decimals are no smaller than hundredths).
| Strand |
Bloom's |
Scope |
Activities |
| Multiple-step Problems |
Synthesis |
Master |
Classroom
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Multiple Step Story Problems
The learner will be able to
solve story problems involving the calculation of whole numbers, time, and decimals in the form of currency, using multiple functions.
| Strand |
Bloom's |
Scope |
Activities |
| Multiple-step Problems |
Application |
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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Operations: Solution Strategies
The learner will be able to
develop strategies (making lists, diagrams, etc.) for solving whole number problems.
| Strand |
Bloom's |
Scope |
Activities |
| Operations |
Analysis |
Introduce |
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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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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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 |
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Master |
Classroom
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Pictographs
The learner will be able to
identify, compare, and add or subtract amounts read from pictographs.
| Strand |
Bloom's |
Scope |
Activities |
| Pictographs |
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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 |
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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: Percents
The learner will be able to
determine percents when given fractional amounts 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 |
Master |
Classroom
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Pictographs: Identify
The learner will be able to
identify data on a simple pictograph.
| Strand |
Bloom's |
Scope |
Activities |
| Pictographs |
Knowledge |
Reinforce |
Classroom
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Pictographs: Create
The learner will be able to
create pictographs to display data.
| Strand |
Bloom's |
Scope |
Activities |
| Pictographs |
Synthesis |
Master |
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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Table: Addition/subtract
The learner will be able to
add and/or subtract amounts from a table.
| Strand |
Bloom's |
Scope |
Activities |
| Tables/Charts |
Application |
Reinforce |
Classroom
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Table: Calculate
The learner will be able to
use values from the table to solve a real world problem by determining the correct calculation and applying the pertinent information.
| Strand |
Bloom's |
Scope |
Activities |
| Tables/Charts |
Application |
Master |
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 |
Master |
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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Graphs: Title
The learner will be able to
determine how to appropriately title a given graph.
| Strand |
Bloom's |
Scope |
Activities |
| Graphing |
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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Diagrams
The learner will be able to
identify information regarding relationships shown on a family tree.
| Strand |
Bloom's |
Scope |
Activities |
| Diagrams |
Knowledge |
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 |
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Master |
Classroom
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Problem Solving: Manipulatives
The learner will be able to
use manipulatives to solve real-world scenario problems which call for the rounding, addition, subtraction, multiplication, and division of decimals. Such a process includes identifying the problem and the correct operation, forming number sentences, and solving the problem without being cued that the problem would require a specific operation with decimals.
| Strand |
Bloom's |
Scope |
Activities |
| Problem Solving |
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Master |
Classroom
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Communicating: Using Decimals
The learner will be able to
demonstrate a sense of how decimals are used to communicate information in real-world contexts by completing sentences involving (but not limited to) changing word names to number form and number forms to their respective word names.
| Strand |
Bloom's |
Scope |
Activities |
| Communicating |
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Master |
Classroom
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Reasoning: Using Decimals
The learner will be able to
provide written responses (which include answers, and an outline of the thought processes behind them) to reasoning word problems involving operations with decimals.
| Strand |
Bloom's |
Scope |
Activities |
| Reasoning/Estimation |
|
Master |
Classroom
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Number Sense: Using Decimals
The learner will be able to
explore decimal number relationships (place value, ordinality) and use an intuitive sense of decimal numbers to evaluate the reasonableness of a given problem and solution.
| 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) by focusing on the values, proportions, and/or situations which the decimal numbers and operations represent.
| Strand |
Bloom's |
Scope |
Activities |
| Number Sense |
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Master |
Classroom
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Subtraction Story Problems
The learner will be able to
solve subtraction story problems depicting real-world money and other decimal scenarios by determining that subtraction is required, by regrouping, and by 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 Decimal and Whole Numbers
The learner will be able to
multiply a decimal number by a 1 digit whole number (regrouping when necessary).
| Strand |
Bloom's |
Scope |
Activities |
| Multiply Decimals |
Application |
Master |
Classroom
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Multiply 2 Numbers: 2 Decimals
The learner will be able to
multiply 2 numbers with 2 decimals (regrouping when necessary).
| Strand |
Bloom's |
Scope |
Activities |
| Multiply Decimals |
Application |
Introduce |
Classroom
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Decimals for Part of a Set
The learner will be able to
identify the decimals that correspond to partially shaded figures.
| Strand |
Bloom's |
Scope |
Activities |
| Decimals |
Knowledge |
Master |
Classroom
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Decimals and Equivalent Fractions
The learner will be able to
determine equivalent fractions and decimals.
| Strand |
Bloom's |
Scope |
Activities |
| Decimals |
Application |
Master |
Classroom
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Compare Decimals: Up to 0.000001
The learner will be able to
compare decimal numbers up to the hundredths place (.01 ) using the order symbols (<, >, =).
| Strand |
Bloom's |
Scope |
Activities |
| Compare Decimals |
Analysis |
Master |
Classroom
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Decimals: Shaded figures
The learner will be able to
determine equivalent fractions and decimals with the use of pictures and manipulatives.
| Strand |
Bloom's |
Scope |
Activities |
| Compare Decimals |
Knowledge |
Reinforce |
Classroom
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Rounding
The learner will be able to
round decimals to the nearest money amount.
| Strand |
Bloom's |
Scope |
Activities |
| Reasoning/Estimation |
Knowledge |
Master |
Classroom
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Problem Solving
The learner will be able to
evaluate a real-world scenario problem involving fractions to determine the appropriate operation (addition or subtraction), decide on relevant elements, set up an equation, and solve the equation.
| Strand |
Bloom's |
Scope |
Activities |
| Problem Solving |
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Master |
Classroom
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Communicating: Using Fractions
The learner will be able to
use fractions to express proportions appropriately.
| Strand |
Bloom's |
Scope |
Activities |
| Communicating |
|
Master |
Classroom
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Number Sense: Using Bar Graphs
The learner will be able to
demonstrate an understanding of the relationships among fractions (simple, mixed, improper) by creating a bar graph which accurately represents a given series of simple, mixed, and improper fractions.
| Strand |
Bloom's |
Scope |
Activities |
| Number Sense |
|
Master |
Classroom
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Add Fraction to a Whole Number
The learner will be able to
add a fraction to a whole number.
| Strand |
Bloom's |
Scope |
Activities |
| Add Fractions |
Knowledge |
Master |
Classroom
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Add/Subtract Fractions: Solution Methods
The learner will be able to
use manipulatives, mental math, and calculators to find sums and differences of fractions.
| Strand |
Bloom's |
Scope |
Activities |
| Add/Subtract Fractions |
Comprehension |
Master |
Classroom
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Fraction Parts: Part of a Whole
The learner will be able to
identify parts of a whole (including 1/2, 1/3, and 1/4).
| Strand |
Bloom's |
Scope |
Activities |
| Fraction Parts |
Knowledge |
Reinforce |
Classroom
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Fraction Parts: Part of a Set
The learner will be able to
show an understanding of fractions by matching fractions with the appropriate diagrams of partially shaded figures.
| Strand |
Bloom's |
Scope |
Activities |
| Fraction Parts |
Knowledge |
Master |
Classroom
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Fraction Parts: Part of a Set
The learner will be able to
identify the fractional portion of a given set.
| Strand |
Bloom's |
Scope |
Activities |
| Fraction Parts |
Knowledge |
Reinforce |
Classroom
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Fractions: Lowest Terms
The learner will be able to
reduce a given fraction to its lowest terms.
| Strand |
Bloom's |
Scope |
Activities |
| Fractions |
Knowledge |
Introduce |
Classroom
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Fractions: Proper/Represent
The learner will be able to
use manipulatives and drawings to represent proper fractions.
| Strand |
Bloom's |
Scope |
Activities |
| Fractions |
Comprehension |
Reinforce |
Classroom
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Fractions: Multiple Step Problems
The learner will be able to
solve multiple step problems involving fractions.
| Strand |
Bloom's |
Scope |
Activities |
| Fractions |
Application |
Master |
Classroom
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Compare Fractions: Unit/Represent
The learner will be able to
use manipulatives, number lines, and drawings to compare unit fractions.
| Strand |
Bloom's |
Scope |
Activities |
| Compare Fractions |
Analysis |
Master |
Classroom
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Compare Fractions: Picture
The learner will be able to
compare fractions by both evaluating 2 partially shaded figures and comparing the size of 2 fractions.
| Strand |
Bloom's |
Scope |
Activities |
| Compare Fractions |
Analysis |
Master |
Classroom
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Compare Fractions
The learner will be able to
order and compare fractions, compare fractions with different denominators, compare a fraction with its lowest term, find a missing number in a fraction equation, and identify, from a list of fractions with different denominators, which fraction is the largest.
| Strand |
Bloom's |
Scope |
Activities |
| Compare Fractions |
Analysis |
Introduce |
Classroom
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Equivalent Fractions: Identify
The learner will be able to
identify equivalent fractions using a partially shaded diagram.
| Strand |
Bloom's |
Scope |
Activities |
| Equivalent Fractions |
Knowledge |
Master |
Classroom
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Transformations: Predicting
The learner will be able to
demonstrate visualization skills by predicting the results of transformations two to four steps in advance.
| Strand |
Bloom's |
Scope |
Activities |
| Transformations |
|
Master |
Classroom
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Points of View
The learner will be able to
explore and predict different points of view (e.g. cross-sections).
| Strand |
Bloom's |
Scope |
Activities |
| Geometric Concepts |
|
Master |
Classroom
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Properties of Figures: Explore/Describe
The learner will be able to
explore properties of geometric figures, and articulate how various geometric figures are the same and/or different.
| Strand |
Bloom's |
Scope |
Activities |
| Properties of Figures |
|
Master |
Classroom
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Angles: Right
The learner will be able to
study right angle concepts, create right angles, and find right angles within the classroom and at home, including folding paper to make square corners, identifying the square corners as right angles, transferring this observation to another medium by drawing square corners or right angles, and discussing angles which are greater than or less than right angles.
| Strand |
Bloom's |
Scope |
Activities |
| Angles |
|
Master |
Classroom
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Vocabulary: Describe/Attributes
The learner will be able to
describe attributes of geometrical figures using the following terms: oval, cross-section, edge, point, and polygon.
| Strand |
Bloom's |
Scope |
Activities |
| Figures: Vocabulary |
Comprehension |
Introduce |
Classroom
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Geometric Attributes
The learner will be able to
apply geometric attributes to classify solids.
| Strand |
Bloom's |
Scope |
Activities |
| Three-Dimensional Solids |
Application |
Master |
Classroom
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Solids: Properties/Problems
The learner will be able to
use the properties of a solid figure to solve problems.
| Strand |
Bloom's |
Scope |
Activities |
| Three-Dimensional Solids |
Comprehension |
Master |
Classroom
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Shapes: Square/Properties
The learner will be able to
identify the properties of a square.
| Strand |
Bloom's |
Scope |
Activities |
| Two-Dimensional Shapes |
Knowledge |
Reinforce |
Classroom
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Shapes: Visualize Combine/Split
The learner will be able to
visualize the possible resulting figures when 2 dimensional figures are combined or split.
| Strand |
Bloom's |
Scope |
Activities |
| Two-Dimensional Shapes |
Analysis |
Master |
Classroom
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Line Segments: Properties
The learner will be able to
apply the basic properties of line segments.
| Strand |
Bloom's |
Scope |
Activities |
| Lines |
Application |
Master |
Classroom
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Angles: Compare
The learner will be able to
use protractors to measure and compare angles.
| Strand |
Bloom's |
Scope |
Activities |
| Angles |
Application |
Introduce |
Classroom
|
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Circles/Line Segments
The learner will be able to
recognize the different properties of pairs of lines, determine the length of different line segments, and identify and calculate the length of circle parts using properties of circles.
| Strand |
Bloom's |
Scope |
Activities |
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