Mathematics IN: Grade 4

School City of Hobart
School City of Hobart Mathematics

Mathematics - IN: Grade 4

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 4

The Indiana Academic Standards for Mathematics include standards for students in fourth 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/Simplify
The learner will be able to apply and interpret variables, math symbols, and properties in the writing and simplification of expressions and sentences.

Strand	Bloom's	Scope	Source
Expressions		Master	IN: Academic Standards, 2000, Grade 4, Standard 3

Formulas: Apply/Interpret
The learner will be able to apply and interpret formulas to determine answers to questions concerning quantities and their relationships.

Strand	Bloom's	Scope	Source
Formulas		Master	IN: Academic Standards, 2000, Grade 4, 4.3.2

Algorithms: Comprehend/Add/Subtraction
The learner will be able to comprehend and apply standard algorithms for addition and subtraction.

Strand	Bloom's	Scope	Source
Algorithms		Master	IN: Academic Standards, 2000, Grade 4, 4.2.1

Symbols: Apply/Expression/Equations
The learner will be able to apply letters, boxes, or other symbols to illustrate any number in simple expressions, equations, or inequalities.

Strand	Bloom's	Scope	Source
Symbols		Master	IN: Academic Standards, 2000, Grade 4, 4.3.1

Number Sentences: Associate/Problems
The learner will be able to associate problem scenarios with number sentences involving multiplication and division.

Strand	Bloom's	Scope	Source
Number Sentence	Analysis	Master	IN: Academic Standards, 2000, Grade 4, 4.3.7

Facts: Multiplication/Division
The learner will be able to illustrate a proficiency with the multiplication facts for numbers between 1 and 10 and of the corresponding division facts.

Strand	Bloom's	Scope	Source
Fact Families	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.2.4

Order of Operations: Comprehend
The learner will be able to comprehend that in expressions without parentheses multiplication and division are done before addition and subtraction.

Strand	Bloom's	Scope	Source
Order of Operations	Comprehension	Master	IN: Academic Standards, 2000, Grade 4, 4.3.3

Linear Equations: Understand
The learner will be able to comprehend that an equation such as x = 5y + 3 is a rule for determining a second number when the first number is given.

Strand	Bloom's	Scope	Source
Linear Equations	Comprehension	Master	IN: Academic Standards, 2000, Grade 4, 4.3.4

Algorithms: Multiply/100 by 10
The learner will be able to apply standard algorithms for the multiplication of numbers up to 100 by numbers up to 10 using the appropriate properties of the numbers system.

Strand	Bloom's	Scope	Source
Algorithms	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.2.5

Algorithms: Divide/100 by 10
The learner will be able to apply standard algorithms for the division of numbers up to 100 by numbers up to 10 without remainders using the appropriate properties of the numbers system.

Strand	Bloom's	Scope	Source
Algorithms	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.2.6

Computation: Understand/Methods
The learner will be able to understand methods for estimating solutions to any whole-number computation.

Strand	Bloom's	Scope	Source
Computation	Comprehension	Master	IN: Academic Standards, 2000, Grade 4, 4.2.11

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

Strand	Bloom's	Scope	Source
Computation	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.7.8

Computation: Apply/Methods
The learner will be able to apply methods for estimating solutions to any whole-number computation.

Strand	Bloom's	Scope	Source
Computation	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.2.11

Basic Operations: Understand/Relation
The learner will be able to understand the relationships between the basic operations.

Strand	Bloom's	Scope	Source
Basic Operations	Comprehension	Master	IN: Academic Standards, 2000, Grade 4, Standard 2, Standard 3

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: Objects
The learner will be able to perform the addition and subtraction of decimals to the hundredths using objects or pictures.

Strand	Bloom's	Scope	Source
Add/Subtract Decimals		Master	IN: Academic Standards, 2000, Grade 4, 4.2.9

Add/Subtract Decimals: Algorithm
The learner will be able to apply a standard algorithm in order to add and subtract decimals to the hundredths.

Strand	Bloom's	Scope	Source
Add/Subtract Decimals	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.2.10

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.

Addition/Subtraction Fractions: Objects
The learner will be able to perform the addition and subtraction of basic fractions with unlike denominators using objects or pictures.

Strand	Bloom's	Scope	Source
Add/Subtract Fractions		Master	IN: Academic Standards, 2000, Grade 4, 4.2.8

Add/Subtract Fractions: Decimals
The learner will be able to extend the application and comprehension of whole numbers to the addition and subtraction of basic fractions and decimals.

Strand	Bloom's	Scope	Source
Add/Subtract Fractions		Master	IN: Academic Standards, 2000, Grade 4, Standard 2

Fractions: Rename/Whole Numbers
The learner will be able to rename whole numbers as fractions.

Strand	Bloom's	Scope	Source
Fractions	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.1.5

Fractions: Rewrite/Whole Numbers
The learner will be able to rewrite whole numbers as fractions.

Strand	Bloom's	Scope	Source
Fractions	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.1.5

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.

Figures: Construct/Cube/Prism
The learner will be able to construct cubes and prisms and explain their characteristics.

Strand	Bloom's	Scope	Source
Figures: Construct		Master	IN: Academic Standards, 2000, Grade 4, 4.4.6

Acute/Right/Obtuse Angles: Recognize
The learner will be able to recognize, explain, and draw rays, right angles, acute angles, obtuse angles and straight angles using suitable mathematical tools and technology.

Strand	Bloom's	Scope	Source
Acute/Right/Obtuse Angles		Master	IN: Academic Standards, 2000, Grade 4, 4.4.1

Figures: Understand/Illustrate
The learner will be able to illustrate an understanding of two- and three-dimensional objects and use this understanding to illustrate relationships and solve problems.

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

Figures: Recognize/Explain/Draw
The learner will be able to recognize, explain, and draw parallelograms, rhombuses, and trapezoids using suitable mathematical tools and technology.

Strand	Bloom's	Scope	Source
Figures		Master	IN: Academic Standards, 2000, Grade 4, 4.4.3

Parallel/Perpendicular: Recognize
The learner will be able to recognize, explain, and draw parallel, perpendicular, and oblique lines using suitable mathematical tools and technology.

Strand	Bloom's	Scope	Source
Lines: Parallel/Perpendicular		Master	IN: Academic Standards, 2000, Grade 4, 4.4.2

Quadrilaterals: Recognize
The learner will be able to recognize congruent quadrilaterals and give explanations for congruence using sides, angles, parallels and perpendiculars.

Strand	Bloom's	Scope	Source
Quadrilaterals		Master	IN: Academic Standards, 2000, Grade 4, 4.4.4

Symmetry: Recognize/Polygons
The learner will be able to recognize lines of symmetry in polygons.

Strand	Bloom's	Scope	Source
Symmetry	Knowledge	Master	IN: Academic Standards, 2000, Grade 4, 4.4.5

Symmetry: Draw/Polygons
The learner will be able to draw lines of symmetry in polygons.

Strand	Bloom's	Scope	Source
Symmetry	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.4.5

Mathematics Processes

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

Relationships: Identify/Use
The learner will be able to identify and use the relationships between addition and multiplication, between subtraction and division, and the inverse relationship between multiplication and division to obtain solutions to problems.

Strand	Bloom's	Scope	Source
Relationships		Master	IN: Academic Standards, 2000, Grade 4, 4.3.6

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 4, 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 4, 4.7.5

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 4, Standard 7

Conjecture: Strategies
The learner will be able to use many different strategies to formulate conjectures.

Strand	Bloom's	Scope	Source
Conjecture/Argument	Synthesis	Master	IN: Academic Standards, 2000, Grade 4, 4.7.4

Argument: Justify
The learner will be able to use many different strategies to justify arguments.

Strand	Bloom's	Scope	Source
Conjecture/Argument	Evaluation	Master	IN: Academic Standards, 2000, Grade 4, 4.7.4

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.

Length: Millimeter/1/8 Inch
The learner will be able to determine length measurements to the nearest 1/8 inch or to the nearest millimeter.

Strand	Bloom's	Scope	Source
Length		Master	IN: Academic Standards, 2000, Grade 4, 4.5.1

Length: Measure/Quarter-Inch
The learner will be able to find the measure of length to the nearest quarter-inch.

Strand	Bloom's	Scope	Source
Length	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.5.1

Length: Subtract
The learner will be able to perform subtraction of lengths with or without renaming feet to inches or meters to centimeters.

Strand	Bloom's	Scope	Source
Length	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.5.2

Time: Add/Minutes/Hours
The learner will be able to perform the addition of time intervals using hours and minutes.

Strand	Bloom's	Scope	Source
Time	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.5.9

Time: Measure
The learner will be able to measure time.

Strand	Bloom's	Scope	Source
Time	Application	Master	IN: Academic Standards, 2000, Grade 4, Standard 5

Money: Change Due from Purchase
The learner will be able to calculate the total amount of change due after a making a purchase.

Strand	Bloom's	Scope	Source
Money	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.5.10

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

Strand	Bloom's	Scope	Source
Money	Application	Master	IN: Academic Standards, 2000, Grade 4, Standard 5

Perimeter: Rectangle/Formula/Know
The learner will be able to understand the perimeter formula for a rectangle.

Strand	Bloom's	Scope	Source
Perimeter	Comprehension	Master	IN: Academic Standards, 2000, Grade 4, 4.5.3

Perimeter: Square/Formula/Understand
The learner will be able to understand the perimeter formula for a square.

Strand	Bloom's	Scope	Source
Perimeter	Comprehension	Master	IN: Academic Standards, 2000, Grade 4, 4.5.3

Perimeter: Rectangles/Formula
The learner will be able to use the appropriate formula to solve for the perimeter of rectangles and squares.

Strand	Bloom's	Scope	Source
Perimeter	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.5.3

Area: Find/Rectangle/Formula
The learner will be able to find the area of a rectangle using the formula.

Strand	Bloom's	Scope	Source
Area	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.5.4

Area: Approximate/Rectangular Shapes
The learner will be able to approximate the area of rectangular shapes by using suitable units.

Strand	Bloom's	Scope	Source
Area	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.5.5

Area: Determine/Dividing
The learner will be able to determine the area of shapes by dividing them into simple shapes.

Strand	Bloom's	Scope	Source
Area	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.5.7

Area: Calculate/Rectangular Shapes
The learner will be able to calculate the area of rectangular shapes by using suitable units.

Strand	Bloom's	Scope	Source
Area	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.5.5

Perimeter/Area: Rectangles
The learner will be able to understand that different rectangles may have the same perimeter but possess different areas.

Strand	Bloom's	Scope	Source
Perimeter/Area/Volume	Comprehension	Master	IN: Academic Standards, 2000, Grade 4, 4.5.6

Perimeter/Area: Rectangles
The learner will be able to understand that rectangles possessing identical areas may have different perimeters.

Strand	Bloom's	Scope	Source
Perimeter/Area/Volume	Comprehension	Master	IN: Academic Standards, 2000, Grade 4, 4.5.6

Perimeter/Area: Understanding
The learner will be able to gain an understanding of the concepts of perimeter and area.

Strand	Bloom's	Scope	Source
Perimeter/Area/Volume	Comprehension	Master	IN: Academic Standards, 2000, Grade 4, Standard 5

Volume: Measure
The learner will be able to measure the volume of figures.

Strand	Bloom's	Scope	Source
Volume	Application	Master	IN: Academic Standards, 2000, Grade 4, Standard 5

Volume: Measure/Space
The learner will be able to apply volume and capacity as different methods for measuring the space within a shape.

Strand	Bloom's	Scope	Source
Volume	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.5.8

Capacity: Measure
The learner will be able to measure capacity.

Strand	Bloom's	Scope	Source
Capacity	Application	Master	IN: Academic Standards, 2000, Grade 4, Standard 5

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

Strand	Bloom's	Scope	Source
Area of a Rectangle	Comprehension	Master	IN: Academic Standards, 2000, Grade 4, 4.5.4

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

Strand	Bloom's	Scope	Source
Area of a Square	Comprehension	Master	IN: Academic Standards, 2000, Grade 4, 4.5.4

Area of a Square: Formula/Apply
The learner will be able to apply the area formula for a square.

Strand	Bloom's	Scope	Source
Area of a Square	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.5.4

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.

Write Numbers: Name/Write
The learner will be able to name and write mixed numbers as improper fractions utilizing objects or pictures.

Strand	Bloom's	Scope	Source
Write Numbers		Master	IN: Academic Standards, 2000, Grade 4, 4.1.7

Write Numbers: Name/Write/Mixed Number
The learner will be able to name and write mixed numbers utilizing objects or pictures.

Strand	Bloom's	Scope	Source
Write Numbers		Master	IN: Academic Standards, 2000, Grade 4, 4.1.6

Equivalence: Understand/Decimal/Fraction
The learner will be able to understand the fraction and decimal equivalents for 1/2's and 1/4's.

Strand	Bloom's	Scope	Source
Equivalence		Master	IN: Academic Standards, 2000, Grade 4, 4.1.8

Place Value: Recognize/Up to 1,000,000
The learner will be able to recognize whole numbers less than one million when given a place-value model.

Strand	Bloom's	Scope	Source
Place Value	Knowledge	Master	IN: Academic Standards, 2000, Grade 4, 4.1.2

Place Value: Understand/Whole Numbers
The learner will be able to understand whole number place values.

Strand	Bloom's	Scope	Source
Place Value	Comprehension	Master	IN: Academic Standards, 2000, Grade 4, Standard 1

Place Value: Comprehend/Hundredths
The learner will be able to show a comprehension of place value of decimal numbers through hundredths.

Strand	Bloom's	Scope	Source
Place Value	Application	Master	IN: Academic Standards, 2000, Grade 4, Standard 1

Read Numerals: Up to Million
The learner will be able to read whole numbers up to one million.

Strand	Bloom's	Scope	Source
Read Numbers	Knowledge	Master	IN: Academic Standards, 2000, Grade 4, 4.1.1

Equivalent Forms: Fractions/Decimals
The learner will be able to express (in written form) tenths and hundredths in both decimal and fractional notation.

Strand	Bloom's	Scope	Source
Equivalent Forms	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.1.8

Write Numbers: Up to 1,000,000
The learner will be able to write whole numbers less than one million when given a place-value model.

Strand	Bloom's	Scope	Source
Write Numbers	Knowledge	Master	IN: Academic Standards, 2000, Grade 4, 4.1.2

Write Numbers: Less Than Millions
The learner will be able to write whole numbers less than one million.

Strand	Bloom's	Scope	Source
Write Numbers	Knowledge	Master	IN: Academic Standards, 2000, Grade 4, 4.1.1

Number Forms: Understand/Relationships
The learner will be able to understand the relationship between decimals and simple fractions.

Strand	Bloom's	Scope	Source
Number Forms: Relationships	Comprehension	Master	IN: Academic Standards, 2000, Grade 4, Standard 1

Number Forms: Understand/Relationships
The learner will be able to understand the relationship between whole numbers and simple fractions.

Strand	Bloom's	Scope	Source
Number Forms: Relationships	Comprehension	Master	IN: Academic Standards, 2000, Grade 4, 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.

Number Properties: Comprehend
The learner will be able to comprehend the special properties of 0 and 1 in multiplication and division.

Strand	Bloom's	Scope	Source
Number Properties/Systems		Master	IN: Academic Standards, 2000, Grade 4, 4.2.7

Pattern: Continue/Multiplication
The learner will be able to continue number patterns using multiplication.

Strand	Bloom's	Scope	Source
Patterns: Number	Synthesis	Master	IN: Academic Standards, 2000, Grade 4, 4.3.5

Pattern: Continue/Division
The learner will be able to continue number patterns using division.

Strand	Bloom's	Scope	Source
Patterns: Number	Synthesis	Master	IN: Academic Standards, 2000, Grade 4, 4.3.5

Number Lines: Whole Numbers
The learner will be able to plot and label whole numbers up to 100 on a number line.

Strand	Bloom's	Scope	Source
Number Lines	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.3.8

Number Lines: Estimate Position
The learner will be able to approximate a position on a number line.

Strand	Bloom's	Scope	Source
Number Lines	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.3.8

Computing/Estimating: Understand
The learner will be able to understand appropriate strategies for estimating solutions to whole-number computations.

Strand	Bloom's	Scope	Source
Computing/Estimating	Comprehension	Master	IN: Academic Standards, 2000, Grade 4, 4.7.7

Computing/Estimating: Apply
The learner will be able to apply appropriate strategies for estimating solutions to whole-number computations.

Strand	Bloom's	Scope	Source
Computing/Estimating	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.7.7

Rounding: Up to 10,000
The learner will be able to round numbers up to 10,000 to the nearest ten, hundred, and/or thousand.

Strand	Bloom's	Scope	Source
Rounding	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.1.3

Rounding: Two Decimal Places
The learner will be able to round off two place decimals to one decimal and/or the nearest whole number.

Strand	Bloom's	Scope	Source
Rounding	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.1.9

Mental Math: Add/Subtract
The learner will be able to apply mental math to add or subtract numbers rounded to the hundredths or thousandths.

Strand	Bloom's	Scope	Source
Mental Math	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.2.12

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.).

Data: Organize/Represent/Interpret
The learner will be able to organize, display, and interpret data (numerical/categorical) and relate results in a clear manner.

Strand	Bloom's	Scope	Source
Data		Master	IN: Academic Standards, 2000, Grade 4, Standard 6

Experiments: Summarize/Display Results
The learner will be able to summarize and show the outcomes of probability experiments clearly and in an organized manner.

Strand	Bloom's	Scope	Source
Experiments		Master	IN: Academic Standards, 2000, Grade 4, 4.6.3

Data Display: Number Lines/Tables
The learner will be able to illustrate data on a number line and in tables, including frequency tables.

Strand	Bloom's	Scope	Source
Data Display		Master	IN: Academic Standards, 2000, Grade 4, 4.6.1

Data Analysis: Interpret
The learner will be able to interpret graphs of data in order to answer questions about a scenario.

Strand	Bloom's	Scope	Source
Data Analysis	Analysis	Master	IN: Academic Standards, 2000, Grade 4, 4.6.2

Outcomes: Record/Simple Experiment
The learner will be able to list the possible outcomes for a simple probability experiment.

Strand	Bloom's	Scope	Source
Outcomes/Predicting	Knowledge	Master	IN: Academic Standards, 2000, Grade 4, 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 4, Standard 7

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 4, 4.7.2

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 4, 4.7.10

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 4, 4.7.1

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 4, 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 4, 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 4, 4.7.6

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 4, 4.7.6

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 4, 4.7.8

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 4, 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 4, 4.7.9

Strategies: Use
The learner will be able to use a variety of strategies to solve problems.

Strand	Bloom's	Scope	Source
Strategies	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.7.4

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 4, 4.7.3

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: Represent
The learner will be able to represent any multiplication scenario as repeated addition.

Strand	Bloom's	Scope	Source
Multiply Whole Numbers	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.2.2

Division: Represent
The learner will be able to represent any division scenario as the sharing of objects and as the number of groups of shared objects.

Strand	Bloom's	Scope	Source
Divide Whole Numbers	Application	Master	IN: Academic Standards, 2000, Grade 4, 4.2.3

Problem Solving: Basic Operations
The learner will be able to obtain solutions to problems that involve the four basic operations of mathematics on whole numbers.

Strand	Bloom's	Scope	Source
Problem Solving	Application	Master	IN: Academic Standards, 2000, Grade 4, Standard 2

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 4, 4.1.4

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 4, 4.1.4