Mathematics IN: Grade 5

School City of Hobart
School City of Hobart Mathematics

Mathematics - IN: Grade 5

Mathematics

The ISTEP+ assessment measures the academic performance of students in Mathematics.

The Indiana Academic Standards provide educators and administrators with a complete set of Indiana's K-12 academic standards for Mathematics. Schools should work to align curriculum instruction and classroom assessment with the new standards. While the standards set expectations for student learning they do not prescribe how the standards should be taught.

Teachers should use their skills, experience, talents, and resources to design classroom lessons to meet the individual needs of their students. With these new academic standards in place students in Indiana will be well equipped with the skills and knowledge to prepare them for the future.

IN: Grade 5

The Indiana Academic Standards for Mathematics include standards for students in fifth grade.

Algebraic Concepts

The Algebraic Concepts Unit includes Competencies/Objectives which focus on algebraic equations and operations. Students explore the symbolic nature of algebraic concepts by identifying and extending patterns in algebra, by following algebraic procedures, and by proving theorems with properties.

Expressions: Write/Evaluate
The learner will be able to write simple expressions in one or two variables and use substitution to evaluate them.

Strand	Bloom's	Scope	Source
Expressions		Master	IN: Academic Standards, 2000, Grade 5, 5.3.2

Expressions: Apply/Compute
The learner will be able to apply variables in simple expressions, calculate for specific values of variables in expressions, and plot and interpret results.

Strand	Bloom's	Scope	Source
Expressions		Master	IN: Academic Standards, 2000, Grade 5, Standard 3

Computation: Problem Solving
The learner will be able to add, subtract, and perform simple multiplication and division of fractions and decimals in order to obtain solutions to problems.

Strand	Bloom's	Scope	Source
Computation		Master	IN: Academic Standards, 2000, Grade 5, Standard 2

Properties: Apply/Distributive
The learner will be able to apply the distributive property in numerical equations and expressions.

Strand	Bloom's	Scope	Source
Properties	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.3.3

Equations: Questions
The learner will be able to apply information from a graph or equation to answer questions about a problem scenario.

Strand	Bloom's	Scope	Source
Equations	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.3.7

Variables: Apply/Represent
The learner will be able to apply variables in the representation of unknown numbers.

Strand	Bloom's	Scope	Source
Variable	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.3.1

Computation: Precision
The learner will be able to perform precise computations.

Strand	Bloom's	Scope	Source
Computation	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.7.7

Computation: Fractions
The learner will be able to perform computations with fractions.

Strand	Bloom's	Scope	Source
Computation	Application	Master	IN: Academic Standards, 2000, Grade 5, Standard 1

Data Interpretation

The Data Interpretation Unit includes Competencies/Objectives which focus on the study and use of graphical forms. Students collect and classify data, organize and display data, use logical reasoning, and problem solving.

Data Collection
The learner will be able to collect data.

Strand	Bloom's	Scope	Source
Data Collection and Classification	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, Standard 6

Decimals

The Decimals Unit includes Competencies/Objectives which focus on number sense and operations with decimals. Students compare and compute decimals, study money, estimate decimals, problem solve using decimals, and reason using decimals.

Addition/Subtraction Decimals
The learner will be able to perform the addition and subtraction of decimals and verify the reasonableness of solutions.

Strand	Bloom's	Scope	Source
Add/Subtract Decimals		Master	IN: Academic Standards, 2000, Grade 5, 5.2.5

Money: Subtraction
The learner will be able to subtract money expressed in decimal form.

Strand	Bloom's	Scope	Source
Money	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.5.7

Money: Addition
The learner will be able to add money expressed in decimal form.

Strand	Bloom's	Scope	Source
Money	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.5.7

Computing: Decimals
The learner will be able to perform computations with decimal numbers.

Strand	Bloom's	Scope	Source
Computing	Application	Master	IN: Academic Standards, 2000, Grade 5, Standard 1

Order Decimals: Up to Hundredths
The learner will be able to order decimal numbers to the hundredths place utilizing the symbols <, >, and =.

Strand	Bloom's	Scope	Source
Compare Decimals	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.1.3

Compare Decimals: Up to 0.01
The learner will be able to compare decimal numbers up to the hundredths position using the order symbols (<, >, =).

Strand	Bloom's	Scope	Source
Compare Decimals	Analysis	Master	IN: Academic Standards, 2000, Grade 5, 5.1.3

Fractions

The Fractions Unit includes Competencies/Objectives which focus on number sense and operations with fractions. Students compare and order fractions, study fraction parts, estimate with fractions, reason using fractions, and problem solve using fractions.

Add/Subtract: Fractions/Mixed Numbers
The learner will be able to perform addition and subtraction of fractions and mixed numbers with unlike denominators.

Strand	Bloom's	Scope	Source
Add/Subtract Fractions	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.2.2

Fraction Parts: Explain/Meaning
The learner will be able to explain the meaning of fractions in terms of being equal parts of a whole.

Strand	Bloom's	Scope	Source
Fraction Parts	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, 5.1.5

Fractions Parts: Describe/Part of a Set
The learner will be able to describe the interpretation that a fraction is a part of a set.

Strand	Bloom's	Scope	Source
Fraction Parts	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, 5.1.5

Fractions Parts: Describe/Division
The learner will be able to describe the interpretation that a fraction is the division of whole numbers by whole numbers.

Strand	Bloom's	Scope	Source
Fraction Parts	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, 5.1.5

Problem Solving: Multiply/Fractions
The learner will be able to solve problems by multiplying with fractions.

Strand	Bloom's	Scope	Source
Problem Solving	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.2.4

Problem Solving: Divide/Fractions
The learner will be able to solve problems by dividing with fractions.

Strand	Bloom's	Scope	Source
Problem Solving	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.2.4

Multiply/Divide Fractions: Use/Models
The learner will be able to use models to illustrate a comprehension of multiplication and division of fractions.

Strand	Bloom's	Scope	Source
Multiply/Divide Fractions	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.2.3

Geometry

The Geometry Unit includes Competencies/Objectives which focus on exploring geometric concepts from multiple perspectives. Students study properties and construction of figures, proofs and theorems, history of geometry, transformations, logic, and problem solving.

Angle Relationships
The learner will be able to realize that angle measures of 90, 180, 270, and 360 degrees are related to 1/4, 1/2, 3/4, and full turns respectively.

Strand	Bloom's	Scope	Source
Angle Relationships		Master	IN: Academic Standards, 2000, Grade 5, 5.4.7

Triangles: Recognize/Congruent
The learner will be able to recognize congruent triangles and justify that decision based upon the sides and angles of the triangles.

Strand	Bloom's	Scope	Source
Triangles		Master	IN: Academic Standards, 2000, Grade 5, 5.4.3

Triangles: Recognize/Explain/Draw
The learner will be able to recognize, explain, draw, and classify triangles as equilateral, isosceles, scalene, right, acute, obtuse, and equiangular.

Strand	Bloom's	Scope	Source
Triangles		Master	IN: Academic Standards, 2000, Grade 5, 5.4.2

Properties: Recognize/Explain/Classify
The learner will be able to recognize, explain, and classify the properties of two- and three-dimensional figures and the relationships between them.

Strand	Bloom's	Scope	Source
Properties of Figures		Master	IN: Academic Standards, 2000, Grade 5, Standard 4

Polygons: Describe/Identify
The learner will be able to describe and identify geometric polygons.

Strand	Bloom's	Scope	Source
Polygons		Master	IN: Academic Standards, 2000, Grade 5, 5.4.4

Figures: Draw/Rectangles
The learner will be able to draw rectangles using suitable tools.

Strand	Bloom's	Scope	Source
Figures: Construct	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.4.1

Lines: Understand/Length
The learner will be able to realize that the length of a horizontal line segment can be determined by finding the difference of the x coordinates.

Strand	Bloom's	Scope	Source
Lines	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, 5.3.6

Lines: Understand/Length
The learner will be able to realize that the length of a vertical line segment can be determined by finding the difference of the y coordinates.

Strand	Bloom's	Scope	Source
Lines	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, 5.3.6

Angles: Identify/Appropriate Tools
The learner will be able to identify angles using appropriate tools.

Strand	Bloom's	Scope	Source
Angles	Knowledge	Master	IN: Academic Standards, 2000, Grade 5, 5.4.1

Angles: Measure/Appropriate Tools
The learner will be able to find angle measures using appropriate tools.

Strand	Bloom's	Scope	Source
Angles	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.4.1

Angles: Draw/Appropriate Tools
The learner will be able to draw angles using appropriate tools.

Strand	Bloom's	Scope	Source
Angles	Synthesis	Master	IN: Academic Standards, 2000, Grade 5, 5.4.1

Triangles: Measure/Suitable Tools
The learner will be able to measure triangles using suitable tools.

Strand	Bloom's	Scope	Source
Triangles	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.4.1

Triangles: Draw/Suitable Tools
The learner will be able to draw triangles using suitable tools.

Strand	Bloom's	Scope	Source
Triangles	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.4.1

Circles: Identify
The learner will be able to recognize a circle's radius.

Strand	Bloom's	Scope	Source
Circles	Knowledge	Master	IN: Academic Standards, 2000, Grade 5, 5.4.5

Circle: Identify/Suitable Tools
The learner will be able to identify circles using suitable tools.

Strand	Bloom's	Scope	Source
Circles	Knowledge	Master	IN: Academic Standards, 2000, Grade 5, 5.4.1

Circle: Diameter
The learner will be able to identify the diameter of a circle.

Strand	Bloom's	Scope	Source
Circles	Knowledge	Master	IN: Academic Standards, 2000, Grade 5, 5.4.5

Circles: Relationship/Radius/Diameter
The learner will be able to comprehend the relationship between the radius and diameter of a circle.

Strand	Bloom's	Scope	Source
Circles	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, 5.4.5

Circles: Draw/Radius
The learner will be able to draw the radius of a circle.

Strand	Bloom's	Scope	Source
Circles	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.4.5

Circles: Draw/Diameter
The learner will be able to draw the diameter of a circle.

Strand	Bloom's	Scope	Source
Circles	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.4.5

Circle: Draw/Suitable Tools
The learner will be able to draw circles using suitable tools.

Strand	Bloom's	Scope	Source
Circles	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.4.1

Circle: Measure/Suitable Tools
The learner will be able to measure circles using suitable tools.

Strand	Bloom's	Scope	Source
Circles	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.4.1

Rotational Symmetry
The learner will be able to identify a figure which has rotational symmetry.

Strand	Bloom's	Scope	Source
Rotations	Knowledge	Master	IN: Academic Standards, 2000, Grade 5, 5.4.6

Symmetry: Identify/Reflectional
The learner will be able to recognize shapes that possess reflectional symmetry.

Strand	Bloom's	Scope	Source
Symmetry	Knowledge	Master	IN: Academic Standards, 2000, Grade 5, 5.4.6

Constructions: Prisms
The learner will be able to construct prisms using suitable materials.

Strand	Bloom's	Scope	Source
Constructions	Synthesis	Master	IN: Academic Standards, 2000, Grade 5, 5.4.8

Constructions: Use/Blocks
The learner will be able to use blocks to build an object from a given picture of a three-dimensional object.

Strand	Bloom's	Scope	Source
Constructions	Synthesis	Master	IN: Academic Standards, 2000, Grade 5, 5.4.9

Constructions: Pyramids
The learner will be able to construct pyramids using suitable materials.

Strand	Bloom's	Scope	Source
Constructions	Synthesis	Master	IN: Academic Standards, 2000, Grade 5, 5.4.8

Parallel/Perpendicular: Identify
The learner will be able to identify parallel and perpendicular lines using appropriate tools.

Strand	Bloom's	Scope	Source
Lines: Parallel/Perpendicular	Knowledge	Master	IN: Academic Standards, 2000, Grade 5, 5.4.1

Parallel/Perpendicular: Draw
The learner will be able to draw parallel and perpendicular lines using appropriate tools.

Strand	Bloom's	Scope	Source
Lines: Parallel/Perpendicular	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.4.1

Parallel/Perpendicular: Measure
The learner will be able to measure parallel and perpendicular lines with appropriate tools.

Strand	Bloom's	Scope	Source
Lines: Parallel/Perpendicular	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.4.1

Polygons: Identify
The learner will be able to identify rectangles and/or triangles using appropriate tools.

Strand	Bloom's	Scope	Source
Polygons	Knowledge	Master	IN: Academic Standards, 2000, Grade 5, 5.4.1

Polygons: Draw
The learner will be able to draw polygons.

Strand	Bloom's	Scope	Source
Polygons	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.4.4

Polygons: Classify
The learner will be able to classify polygons.

Strand	Bloom's	Scope	Source
Polygons	Analysis	Master	IN: Academic Standards, 2000, Grade 5, 5.4.4

Mathematics Processes

The Mathematics Processes Unit includes Competencies/Objectives which focus on mathematical connections. Students communicate and model concepts and procedures.

Reasoning: Approach Problems
The learner will be able to decide about the manner in which to approach a given problem.

Strand	Bloom's	Scope	Source
Reasoning		Master	IN: Academic Standards, 2000, Grade 5, Standard 7

Mathematics as Communication
The learner will be able to state solutions clearly and logically using suitable mathematical vocabulary and notation, and support solutions with verbal and symbolic evidence.

Strand	Bloom's	Scope	Source
Communication		Master	IN: Academic Standards, 2000, Grade 5, 5.7.4

Communication: Ideas/Problems
The learner will be able to communicate their ideas about how to approach problems.

Strand	Bloom's	Scope	Source
Communication	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, Standard 7

Measurement

The Measurement Unit includes Competencies/Objectives which focus on measurement concepts, applications, and analysis. Students study length, area, circumference, perimeter, volume, weight, formulas, distance, calendar, money, tools, accuracy, units, constructions, patterns, and problem solving.

Weight: Comprehend/Use
The learner will be able to comprehend and use small and large units for measuring weight (ounce, gram, and ton) and their relationships to pounds and kilograms.

Strand	Bloom's	Scope	Source
Weight		Master	IN: Academic Standards, 2000, Grade 5, 5.5.5

Perimeter/Area: Problem Solve
The learner will be able to obtain solutions to problems using perimeters and areas of rectangles, triangles, parallelograms, and trapezoids, using suitable units.

Strand	Bloom's	Scope	Source
Perimeter/Area/Volume		Master	IN: Academic Standards, 2000, Grade 5, 5.5.2

Area/Volume: Comprehend/Calculate
The learner will be able to comprehend and calculate the areas and volumes of elementary objects.

Strand	Bloom's	Scope	Source
Perimeter/Area/Volume		Master	IN: Academic Standards, 2000, Grade 5, Standard 5

Money: Measure
The learner will be able to measure money amounts.

Strand	Bloom's	Scope	Source
Money	Application	Master	IN: Academic Standards, 2000, Grade 5, Standard 5

Temperature: Boiling Point
The learner will be able to understand that the boiling point of water is 100 degrees Celsius and 212 degrees Fahrenheit.

Strand	Bloom's	Scope	Source
Temperature	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, 5.5.6

Temperature: Freezing Point
The learner will be able to understand that the freezing point of water is zero degrees Celsius and 32 degrees Fahrenheit.

Strand	Bloom's	Scope	Source
Temperature	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, 5.5.6

Temperature/Time: Measure
The learner will be able to measure temperature and time.

Strand	Bloom's	Scope	Source
Temperature	Application	Master	IN: Academic Standards, 2000, Grade 5, Standard 5

Temperature: Compare/Celsius/Fahrenheit
The learner will be able to make comparisons of temperatures in Celsius and Fahrenheit.

Strand	Bloom's	Scope	Source
Temperature	Analysis	Master	IN: Academic Standards, 2000, Grade 5, 5.5.6

Area: Understand/Parallelogram
The learner will be able to understand the formula for the area of a parallelogram.

Strand	Bloom's	Scope	Source
Area	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, 5.5.1

Area: Understand/Trapezoid
The learner will be able to understand the formula for the area of a trapezoid.

Strand	Bloom's	Scope	Source
Area	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, 5.5.1

Area of a Parallelogram: Compute/Formula
The learner will be able to use the appropriate formula to calculate the area of a parallelogram.

Strand	Bloom's	Scope	Source
Area	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.5.1

Area of a Trapezoid: Calculate/Formula
The learner will be able to use the appropriate formula to calculate the area of a trapezoid.

Strand	Bloom's	Scope	Source
Area	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.5.1

Weight: Measure
The learner will be able to measure weight.

Strand	Bloom's	Scope	Source
Weight	Application	Master	IN: Academic Standards, 2000, Grade 5, Standard 5

Surface Area: Rectangular Shapes
The learner will be able to determine the surface area of rectangular solids using suitable units.

Strand	Bloom's	Scope	Source
Surface Area	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.5.4

Volume: Rectangular Shapes
The learner will be able to determine the volume of rectangular solids using suitable units.

Strand	Bloom's	Scope	Source
Volume	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.5.4

Area of a Triangle: Understand/Formula
The learner will be able to understand the formula for the area of a triangle.

Strand	Bloom's	Scope	Source
Area of a Triangle	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, 5.5.1

Formulas: Area/Triangle
The learner will be able to use a formula to determine the area of a triangle.

Strand	Bloom's	Scope	Source
Formulas	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.5.1

Formulas: Area/Rectangle/Triangles
The learner will be able to apply formulas for area of triangles and rectangles to determine the area of complex shapes by dividing them into simple shapes.

Strand	Bloom's	Scope	Source
Formulas	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.5.3

Tools: Measure/Rectangles
The learner will be able to measure rectangles using suitable tools.

Strand	Bloom's	Scope	Source
Tools/Instruments	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.4.1

Number Theory

The Number Theory Unit includes Competencies/Objectives which focus on manipulating number forms and classifications. Students make connections between number forms and their real world applications.

Number Sense: Convert/Numbers
The learner will be able to perform conversions between numbers in words and numbers in figures for numbers less than millions and decimals to thousandths.

Strand	Bloom's	Scope	Source
Number Sense		Master	IN: Academic Standards, 2000, Grade 5, 5.1.1

Equivalent Forms: Determine/Describe
The learner will be able to determine decimal and percent equivalents for simple fractions and describe why they illustrate equal values.

Strand	Bloom's	Scope	Source
Equivalent Forms		Master	IN: Academic Standards, 2000, Grade 5, 5.1.4

Place Value: Round/Decimals
The learner will be able to round decimals to a specific place value.

Strand	Bloom's	Scope	Source
Place Value	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.1.2

Primes/Composites: Identify
The learner will be able to identify prime and composite numbers.

Strand	Bloom's	Scope	Source
Prime/Composite Numbers	Knowledge	Master	IN: Academic Standards, 2000, Grade 5, 5.1.6

Primes: Understand
The learner will be able to demonstrate an understanding of prime numbers.

Strand	Bloom's	Scope	Source
Prime/Composite Numbers	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, Standard 1

Composite Numbers: Understand
The learner will be able to understand composite numbers.

Strand	Bloom's	Scope	Source
Prime/Composite Numbers	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, Standard 1

Primes/Composites: Describe
The learner will be able to describe the idea of prime and composite numbers.

Strand	Bloom's	Scope	Source
Prime/Composite Numbers	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, 5.1.6

Number Forms: Understand/Relationships
The learner will be able to understand the relationships between fractions, decimals, and percents.

Strand	Bloom's	Scope	Source
Number Forms: Relationships	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, Standard 1

Numeration

The Numeration Unit includes Competencies/Objectives which focus on exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships.

Estimate/Problems: Reasonableness
The learner will be able to estimate to decide whether the solution to an addition or subtraction problem is reasonable.

Strand	Bloom's	Scope	Source
Estimate/Problems	Synthesis	Master	IN: Academic Standards, 2000, Grade 5, 5.2.6

Estimate/Problems: Reasonableness
The learner will be able to estimate in order to determine the reasonableness of solutions to multiplication problems.

Strand	Bloom's	Scope	Source
Estimate/Problems	Synthesis	Master	IN: Academic Standards, 2000, Grade 5, 5.2.6

Estimate/Problems: Reasonableness
The learner will be able to estimate in order to determine the reasonableness of solutions to division problems.

Strand	Bloom's	Scope	Source
Estimate/Problems	Synthesis	Master	IN: Academic Standards, 2000, Grade 5, 5.2.6

Number Lines: Find/Positive Mixed Number
The learner will be able to find the position of positive mixed numbers on a number line.

Strand	Bloom's	Scope	Source
Number Lines	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.1.7

Number Lines: Find/Positive Decimals
The learner will be able to find the position of positive decimals on a number line.

Strand	Bloom's	Scope	Source
Number Lines	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.1.7

Number Lines: Find/Positive Fractions
The learner will be able to find the position of basic positive fractions on a number line.

Strand	Bloom's	Scope	Source
Number Lines	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.1.7

Computing: Whole Numbers
The learner will be able to compute using whole numbers.

Strand	Bloom's	Scope	Source
Computing/Estimating	Application	Master	IN: Academic Standards, 2000, Grade 5, Standard 1

Rounding: Whole Numbers
The learner will be able to round whole numbers to a specific place value.

Strand	Bloom's	Scope	Source
Rounding	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.1.2

Mental Math: Add/Decimals
The learner will be able to use mental math to add simple decimals.

Strand	Bloom's	Scope	Source
Mental Math	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.2.7

Mental Math: Subtract/Decimals
The learner will be able to use mental math to subtract simple decimals.

Strand	Bloom's	Scope	Source
Mental Math	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.2.7

Magnitude: Understanding
The learner will be able to comprehend the relative magnitudes of various numbers.

Strand	Bloom's	Scope	Source
Magnitude	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, Standard 1

Percents

The Percent Unit includes Competencies/Objectives which focus on the concepts of percent. Students perform operations with percents, convert percents to other number forms, use manipulatives to demonstrate percents, and solve problems with percents in real world contexts.

Percent: Interpret
The learner will be able to interpret percent as a portion of one hundred.

Strand	Bloom's	Scope	Source
Percent Representations	Analysis	Master	IN: Academic Standards, 2000, Grade 5, 5.1.4

Probability/Statistics

The Probability/Statistics Unit includes Competencies/Objectives which focus on data analysis and probability concepts. Students collect, analyze, and make sense of real world data (including overlapping data, inconclusive data, etc.).

Mean/Median/Mode: Determine/Explain
The learner will be able to determine the mean, median, mode, and range of a data set and explain what each does and does not convey about the data set.

Strand	Bloom's	Scope	Source
Average/Median/Mode/Range		Master	IN: Academic Standards, 2000, Grade 5, 5.6.2

Probability: Comprehend
The learner will be able to comprehend that probability can be expressed as any value between 0 and 1, that impossible events have a probability of 0, and certain events have a probability of 1, and events that are more likely have a higher probability than events that are less likely.

Strand	Bloom's	Scope	Source
Probability		Master	IN: Academic Standards, 2000, Grade 5, 5.6.3

Data: Compare
The learner will be able to make comparisons of data.

Strand	Bloom's	Scope	Source
Data	Analysis	Master	IN: Academic Standards, 2000, Grade 5, Standard 6

Data: Analyzing
The learner will be able to analyze data.

Strand	Bloom's	Scope	Source
Data	Analysis	Master	IN: Academic Standards, 2000, Grade 5, Standard 6

Data: Interpretation
The learner will be able to interpret given data.

Strand	Bloom's	Scope	Source
Data	Analysis	Master	IN: Academic Standards, 2000, Grade 5, Standard 6

Experiments: Probability/Outcomes
The learner will be able to verbally describe outcomes of experiments involving probability situations.

Strand	Bloom's	Scope	Source
Experiments	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, 5.6.4

Experiments: Probability/Outcomes
The learner will be able to numerically describe outcomes of experiments involving probability situations.

Strand	Bloom's	Scope	Source
Experiments	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, 5.6.4

Experiments: Predict/Future Events
The learner will be able to predict future events using the results of probability experiments.

Strand	Bloom's	Scope	Source
Experiments	Analysis	Master	IN: Academic Standards, 2000, Grade 5, Standard 6

Data Display: Describe
The learner will be able to describe an appropriate format for displaying various sets of data.

Strand	Bloom's	Scope	Source
Data Display	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, 5.6.1

Data Display
The learner will be able to display data.

Strand	Bloom's	Scope	Source
Data Display	Application	Master	IN: Academic Standards, 2000, Grade 5, Standard 6

Problem Solving

The Problem Solving Unit includes Competencies/Objectives which focus on analyzing problems, evaluating solutions, exploring problems, and developing strategies for solving problems.

Solution: Determine/Communicate
The learner will be able to determine and communicate answers to problems using strategies, skills, and ideas.

Strand	Bloom's	Scope	Source
Solution		Master	IN: Academic Standards, 2000, Grade 5, Standard 7

Strategies: Solve/Similar
The learner will be able to express the strategy for determining the solution to a problem and illustrate a conceptual understanding of the strategy by obtaining solutions to similar problems.

Strand	Bloom's	Scope	Source
Strategies		Master	IN: Academic Standards, 2000, Grade 5, 5.7.9

Strategies: Break Up Problem
The learner will be able to figure out when and how to break up a problem into less difficult components.

Strand	Bloom's	Scope	Source
Strategies		Master	IN: Academic Standards, 2000, Grade 5, 5.7.2

Analyzing Problems: Relationships
The learner will be able to analyze problems by recognizing relationships, differentiating between relevant and irrelevant information, sequencing and prioritizing information, and observing patterns.

Strand	Bloom's	Scope	Source
Analyzing Problems		Master	IN: Academic Standards, 2000, Grade 5, 5.7.1

Problem: Generalizations
The learner will be able to progress past a given problem through generalizations to other situations.

Strand	Bloom's	Scope	Source
Problems		Master	IN: Academic Standards, 2000, Grade 5, Standard 7

Evaluating Solutions: Completeness
The learner will be able to determine when an answer is complete.

Strand	Bloom's	Scope	Source
Evaluating Solutions	Application	Master	IN: Academic Standards, 2000, Grade 5, Standard 7

Solutions: Exact or Approximate
The learner will be able to identify the advantages of exact and approximate answers to problems.

Strand	Bloom's	Scope	Source
Solution	Knowledge	Master	IN: Academic Standards, 2000, Grade 5, 5.7.5

Solutions: Degree of Accuracy
The learner will be able to present solutions to a specified degree of accuracy.

Strand	Bloom's	Scope	Source
Solution	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.7.5

Solutions: Validity in Context
The learner will be able to verify the validity of solutions based on the context of the problem.

Strand	Bloom's	Scope	Source
Solution	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.7.7

Solution: Reasonableness
The learner will be able to determine the reasonableness of results.

Strand	Bloom's	Scope	Source
Solution	Analysis	Master	IN: Academic Standards, 2000, Grade 5, Standard 7

Solutions: Evaluate Reasonableness
The learner will be able to evaluate the reasonableness of a given solution within the context of the original problem.

Strand	Bloom's	Scope	Source
Solution	Evaluation	Master	IN: Academic Standards, 2000, Grade 5, 5.7.8

Strategies: Apply
The learner will be able to apply strategies and/or results obtained from simpler problems to those that are more complex.

Strand	Bloom's	Scope	Source
Strategies	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.7.3

Rational and Irrational Numbers

The Rational and Irrational Numbers Unit includes Competencies/Objectives which focus on number concepts. Students manipulate, compare, and perform operations with rational and irrational numbers.

Rational Numbers: Estimate/Strategies
The learner will be able to apply strategies in the estimation of results of calculations with rational numbers of various forms.

Strand	Bloom's	Scope	Source
Rational Numbers		Master	IN: Academic Standards, 2000, Grade 5, 5.7.6

Rational Numbers: Understand
The learner will be able to understand appropriate strategies for estimating solutions to rational number computations.

Strand	Bloom's	Scope	Source
Rational Numbers	Comprehension	Master	IN: Academic Standards, 2000, Grade 5, 5.7.6

Real Numbers and the Coordinate Plane

The Real Numbers and the Coordinate Plane Unit includes Competencies/Objectives which focus on graphing concepts. Students graph equations and make connections between algebraic concepts and their geometric correspondences.

Coordinate Geometry: Locate/Graph
The learner will be able to determine positive ordered pairs of numbers that fit a linear equation, plot the ordered pairs, and draw the line they determine.

Strand	Bloom's	Scope	Source
Coordinate Geometry		Master	IN: Academic Standards, 2000, Grade 5, 5.3.5

Coordinate Geometry: Recognize
The learner will be able to recognize positive ordered pairs of numbers.

Strand	Bloom's	Scope	Source
Coordinate Geometry	Knowledge	Master	IN: Academic Standards, 2000, Grade 5, 5.3.4

Coordinate Geometry: Plot
The learner will be able to plot positive ordered pairs of numbers.

Strand	Bloom's	Scope	Source
Coordinate Geometry	Application	Master	IN: Academic Standards, 2000, Grade 5, 5.3.4

Coordinate Plane: Represent/Points
The learner will be able to use the coordinate plane to represent points.

Strand	Bloom's	Scope	Source
Coordinate Geometry	Application	Master	IN: Academic Standards, 2000, Grade 5, Standard 3

Coordinate Plane: Graph/Lines
The learner will be able to use the coordinate plane to graph lines.

Strand	Bloom's	Scope	Source
Coordinate Geometry	Application	Master	IN: Academic Standards, 2000, Grade 5, Standard 3

Whole Numbers

The Whole Numbers Unit includes Competencies/Objectives which focus on whole number concepts. Students perform operations with whole numbers, use manipulatives to demonstrate whole number concepts, and solve problems with whole numbers in real world contexts.

Multiplication: Problem Solving
The learner will be able to solve whole number multiplication problems.

Strand	Bloom's	Scope	Source
Multiply Whole Numbers	Application	Master	IN: Academic Standards, 2000, Grade 5, Standard 2, 5.2.1

Division: Problem Solving
The learner will be able to solve whole number division problems.

Strand	Bloom's	Scope	Source
Divide Whole Numbers	Application	Master	IN: Academic Standards, 2000, Grade 5, Standard 2, 5.2.1

Compare Numbers: Order Symbols
The learner will be able to compare whole numbers using <, >, and = signs.

Strand	Bloom's	Scope	Source
Compare/Order	Analysis	Master	IN: Academic Standards, 2000, Grade 5, 5.1.3

Order Numbers: Whole/Symbols
The learner will be able to apply <, >, and = to order whole numbers.

Strand	Bloom's	Scope	Source
Compare/Order	Analysis	Master	IN: Academic Standards, 2000, Grade 5, 5.1.3