Mathematics IN: Grade 6

School City of Hobart
School City of Hobart Mathematics

Mathematics - IN: Grade 6

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 6

The ISTEP+ assesses the academic performance of students in Mathematics at grade 6.

The Indiana Academic Standards for Mathematics include standards for students in sixth 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.

Order of Operations: Evaluate/Expression
The learner will be able to use the order of operations and the properties of real numbers to evaluate numerical expressions and justify each step during the process.

Strand	Bloom's	Scope	Source
Order of Operations		Master	IN: Academic Standards, 2000, Grade 6, 6.3.6

Expressions: Evaluate/Solve/Graph
The learner will be able to evaluate algebraic expressions, obtain solutions to simple linear equations, and graph and interpret their solutions.

Strand	Bloom's	Scope	Source
Expressions		Master	IN: Academic Standards, 2000, Grade 6, Standard 3

Expressions: Write
The learner will be able to write verbal expressions and/or equations in the form of algebraic expressions and/or equations.

Strand	Bloom's	Scope	Source
Expressions		Master	IN: Academic Standards, 2000, Grade 6, Standard 3

Order of Operations: Use/Parentheses
The learner will be able to use parentheses to determine which operations to perform first when creating expressions involving more than two terms and different operations.

Strand	Bloom's	Scope	Source
Order of Operations	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.3.4

Absolute Value: Real Numbers
The learner will be able to determine the absolute value of real numbers.

Strand	Bloom's	Scope	Source
Absolute Value	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.1.2

Absolute Value: Interpret/Distance
The learner will be able to interpret the absolute value of a number as the distance of the number from the origin on a number line.

Strand	Bloom's	Scope	Source
Absolute Value	Analysis	Master	IN: Academic Standards, 2000, Grade 6, 6.1.2

Expressions: Evaluate
The learner will be able to evaluate expressions using grouping symbols.

Strand	Bloom's	Scope	Source
Expressions	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.3.3

Expressions: Variables
The learner will be able to apply variables in expressions that describe geometric quantities.

Strand	Bloom's	Scope	Source
Expressions	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.3.5

Expressions: Interpret/Grouping Symbols
The learner will be able to interpret expressions that use grouping symbols.

Strand	Bloom's	Scope	Source
Expressions	Analysis	Master	IN: Academic Standards, 2000, Grade 6, 6.3.3

Formulas: Apply/Three Variables
The learner will be able to use formulas with three or less variables to obtain solutions to problems.

Strand	Bloom's	Scope	Source
Formulas	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.3.2

Formulas: Write/Three Variables
The learner will be able to write formulas with three or less variables to obtain solutions to problems.

Strand	Bloom's	Scope	Source
Formulas	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.3.2

Algebraic Concepts: Investigations
The learner will be able to develop investigations of algebraic concepts.

Strand	Bloom's	Scope	Source
Algebraic Concepts	Synthesis	Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.13 week tested: 4.

Algebraic Processes: Investigations
The learner will be able to develop investigations of algebraic processes.

Strand	Bloom's	Scope	Source
Algebraic Concepts	Synthesis	Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.13 week tested: 4.

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	Source
Variable	Analysis	Master	IN: Academic Standards, 2000, Grade 6, 6.3.9

Connecting: Algebra/Geometry
The learner will be able to algebraically explain geometric relationships.

Strand	Bloom's	Scope	Source
Connecting	Comprehension	Master	IN: Academic Standards, 2000, Grade 6, Standard 3

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

Strand	Bloom's	Scope	Source
Computation	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.7.9

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.

Multiply: Decimals
The learner will be able to multiply decimals.

Strand	Bloom's	Scope	Source
Multiply Decimals	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.2.3

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 6, 6.5.10

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 6, 6.5.10

Money: Multiply
The learner will be able to perform multiplication with money amounts expressed in decimal form.

Strand	Bloom's	Scope	Source
Money	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.5.10

Money: Division
The learner will be able to perform division with money amounts expressed in decimal form.

Strand	Bloom's	Scope	Source
Money	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.5.10

Divide Decimals
The learner will be able to divide decimals.

Strand	Bloom's	Scope	Source
Divide Decimals	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.2.3

Problem Solving: Reasonable Solutions
The learner will be able to approximate to determine whether solutions to decimal problems are reasonable.

Strand	Bloom's	Scope	Source
Problem Solving	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.2.9

Problem Solving: Decimals
The learner will be able to obtain solutions to problems that involve decimals.

Strand	Bloom's	Scope	Source
Problem Solving	Application	Master	IN: Academic Standards, 2000, Grade 6, Standard 2

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.

Problem Solving: Basic Operations
The learner will be able to obtain solutions to problems involving the basic operations with positive fractions and describe why a particular operation was applied in a given scenario.

Strand	Bloom's	Scope	Source
Problem Solving		Master	IN: Academic Standards, 2000, Grade 6, 6.2.5

Multiply/Divide Fractions: Describe
The learner will be able to describe the process used to multiply and divide positive fractions and perform the calculations.

Strand	Bloom's	Scope	Source
Multiply/Divide Fractions		Master	IN: Academic Standards, 2000, Grade 6, 6.2.4

Add/Subtract Fractions: Mental Math
The learner will be able to use mental math to solve simple addition and subtraction problems involving fractions.

Strand	Bloom's	Scope	Source
Add/Subtract Fractions	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.2.10

Fractions: Understand
The learner will be able to reinforce their understanding of fractions.

Strand	Bloom's	Scope	Source
Fractions	Comprehension	Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.5 week tested: 4.

Problem Solving: LCM/GCF
The learner will be able to obtain solutions to problems involving fractions through the application of the least common multiple and/or greatest common factor concepts.

Strand	Bloom's	Scope	Source
Problem Solving	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.1.7

Problem Solving: Fractions
The learner will be able to solve problems that involve fractions.

Strand	Bloom's	Scope	Source
Problem Solving	Application	Master	IN: Academic Standards, 2000, Grade 6, Standard 2

Functions

The Functions Unit includes Competencies/Objectives which focus on exploring polynomial, rational, exponential, logarithmic, trigonometric, and circular functions.

Functions: Problem Solving
The learner will be able to write the equation associated with a given linear function, evaluate it for integer values of the variable, and graph the resulting ordered pairs of integers on a grid.

Strand	Bloom's	Scope	Source
Functions		Master	IN: Academic Standards, 2000, Grade 6, 6.3.8

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.

Representations: Visualize/Illustrate
The learner will be able to visualize and illustrate two-dimensional views of three-dimensional objects which are made from rectangular solids.

Strand	Bloom's	Scope	Source
Figures: Representations		Master	IN: Academic Standards, 2000, Grade 6, 6.4.7

Angle Relationships: Recognize/Draw
The learner will be able to recognize and draw vertical, adjacent, complementary, and supplementary angles and explain the relationships among the angles.

Strand	Bloom's	Scope	Source
Angle Relationships		Master	IN: Academic Standards, 2000, Grade 6, 6.4.1

Figures: Comprehend/Measurement
The learner will be able to comprehend the measurement of two- and three-dimensional figures and use this understanding to obtain solutions to problems.

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

Angles: Solve Problems
The learner will be able to apply the properties of complementary, supplementary, and vertical angles to obtain solutions to problems involving an unknown angle and justify answers.

Strand	Bloom's	Scope	Source
Angles		Master	IN: Academic Standards, 2000, Grade 6, 6.4.2

Geometry Terms: Develop/Use
The learner will be able to develop a comprehension of geometric terms and ideas and use those ideas in problem solving activities.

Strand	Bloom's	Scope	Source
Geometric Vocabulary		Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.8 week tested: 4.

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 6, Standard 4

Triangles: Angle Sum
The learner will be able to understand that the sum of the angles of any triangle equals 180 degrees.

Strand	Bloom's	Scope	Source
Triangles	Comprehension	Master	IN: Academic Standards, 2000, Grade 6, 6.4.4

Triangles: Draw
The learner will be able to make drawings of triangles when provided with information about them.

Strand	Bloom's	Scope	Source
Triangles	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.4.3

Circle: Comprehend/Pi
The learner will be able to comprehend the idea of the constant pi as the ratio of the circumference to the diameter of a circle.

Strand	Bloom's	Scope	Source
Circles	Comprehension	Master	IN: Academic Standards, 2000, Grade 6, 6.5.4

Translation: Draw/Example
The learner will be able to draw examples of a slide.

Strand	Bloom's	Scope	Source
Translations	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.4.6

Geometric Concepts: Explore/Investigate
The learner will be able to explore and/or investigate relationships among geometric concepts.

Strand	Bloom's	Scope	Source
Geometric Concepts	Analysis	Master	IN: Academic Standards, 2000, Grade 6, Standard 3

Reflection: Draw/Examples
The learner will be able to draw examples of a flip.

Strand	Bloom's	Scope	Source
Reflections	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.4.6

Similarity: Recognize/Two-Dimensional
The learner will be able to recognize two-dimensional similar figures.

Strand	Bloom's	Scope	Source
Similarity	Knowledge	Master	IN: Academic Standards, 2000, Grade 6, 6.4.5

Similarity: Draw/Two-Dimensional
The learner will be able to make drawings of two-dimensional similar figures.

Strand	Bloom's	Scope	Source
Similarity	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.4.5

Quadrilaterals: Angle Sum
The learner will be able to understand that the sum of the angles of any quadrilateral equals 360 degrees.

Strand	Bloom's	Scope	Source
Quadrilaterals	Comprehension	Master	IN: Academic Standards, 2000, Grade 6, 6.4.4

Quadrilaterals: Draw
The learner will be able to make drawings of quadrilaterals when provided with information about them.

Strand	Bloom's	Scope	Source
Quadrilaterals	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.4.3

Polygons: Apply Knowledge
The learner will be able to use the knowledge of the sums of the angles of quadrilaterals and triangles to solve problems.

Strand	Bloom's	Scope	Source
Polygons	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.4.4

Integers

The Integers Unit includes Competencies/Objectives which focus on number sense and operations with integers. Students compare integers, perform operations with integers, convert integers to other number forms, use manipulatives to demonstrate integers, and solve problems with integers in real world contexts.

Add/Subtract Integers: Positive/Negative
The learner will be able to perform the addition and subtraction of positive and negative integers.

Strand	Bloom's	Scope	Source
Add/Subtract Integers		Master	IN: Academic Standards, 2000, Grade 6, 6.2.1

Integers: Comprehend/Negative Numbers
The learner will be able to comprehend negative numbers.

Strand	Bloom's	Scope	Source
Integers	Comprehension	Master	IN: Academic Standards, 2000, Grade 6, 6.1.1

Integers: Understand
The learner will be able to conceptually understand integers.

Strand	Bloom's	Scope	Source
Integers	Comprehension	Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.5 week tested: 4.

Integers: Apply/Negative Numbers
The learner will be able to apply negative numbers.

Strand	Bloom's	Scope	Source
Integers	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.1.1

Multiply/Divide: Positive/Negative
The learner will be able to perform the multiplication and division of positive and negative integers.

Strand	Bloom's	Scope	Source
Multiply/Divide Integers	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.2.2

Problem Solving: Apply/Basic Operations
The learner will be able to apply the basic operations on integers to obtain solutions to problems.

Strand	Bloom's	Scope	Source
Problem Solving	Application	Master	IN: Academic Standards, 2000, Grade 6, Standard 2

Mathematics Processes

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

Reasoning: Develop/Abilities
The learner will be able to develop reasoning abilities.

Strand	Bloom's	Scope	Source
Reasoning		Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.3 week tested: 4.

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 6, 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 6, 6.7.5

Conjecture: Create/Justify
The learner will be able to create and justify conjectures based on a general description of the mathematical question or problem that was posed.

Strand	Bloom's	Scope	Source
Conjecture/Argument		Master	IN: Academic Standards, 2000, Grade 6, 6.7.2

Reasoning: Apply/Problem Solving
The learner will be able to apply developed reasoning skills to activities in problem solving.

Strand	Bloom's	Scope	Source
Reasoning	Application	Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.3 week tested: 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 6, Standard 7

Mathematics as Communication: Practice
The learner will be able to practice effective communication using the vocabulary of mathematics.

Strand	Bloom's	Scope	Source
Communication	Application	Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.2 week tested: 4.

Mathematics as Communication: Develop
The learner will be able to develop effective communication using the vocabulary of mathematics.

Strand	Bloom's	Scope	Source
Communication	Synthesis	Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.2 week tested: 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.

Units: Apply/Metric/Customary
The learner will be able to develop measurement abilities by applying customary and/or metric units.

Strand	Bloom's	Scope	Source
Units		Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.9 week tested: 4.

Units: Choose/Use/Tools
The learner will be able to choose and use suitable standard units and tools to measure length, area, volume, weight, time, temperature, and the size of angles.

Strand	Bloom's	Scope	Source
Units		Master	IN: Academic Standards, 2000, Grade 6, 6.5.1

Length: Comprehend/Apply
The learner will be able to comprehend and apply larger units for the measurement of length by comparing miles to yards and kilometers to meters.

Strand	Bloom's	Scope	Source
Length		Master	IN: Academic Standards, 2000, Grade 6, 6.5.2

Temperature: Calculate/Money
The learner will be able to perform calculations with temperature and money, and select suitable units of measure in other areas.

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

Area: Comprehend/Apply
The learner will be able to comprehend and apply larger units for the measurement of area by comparing acres and square miles to square yards and square kilometers to square meters.

Strand	Bloom's	Scope	Source
Area		Master	IN: Academic Standards, 2000, Grade 6, 6.5.3

Volume/Surface Area: Prisms/Cylinders
The learner will be able to use methods to determine the surface area and volume of right prisms and cylinders using suitable units.

Strand	Bloom's	Scope	Source
Perimeter/Area/Volume		Master	IN: Academic Standards, 2000, Grade 6, 6.5.8

Circumference: Estimate/Calculate
The learner will be able to apply estimates for the value of pi to estimate and compute the circumferences and areas of circles, and then make comparisons to measurements.

Strand	Bloom's	Scope	Source
Circumference		Master	IN: Academic Standards, 2000, Grade 6, 6.5.5

Constructions: Cube/Box
The learner will be able to create a cube and rectangular box from two-dimensional patterns and apply these patterns to calculate the surface area of these objects.

Strand	Bloom's	Scope	Source
Constructions		Master	IN: Academic Standards, 2000, Grade 6, 6.5.7

Problem Solving: Proportions
The learner will be able to obtain problem solutions by applying proportions.

Strand	Bloom's	Scope	Source
Problem Solving	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.2.7

Temperature: Convert
The learner will be able to convert temperature measures using the Fahrenheit and Celsius formulas.

Strand	Bloom's	Scope	Source
Temperature	Synthesis	Master	IN: Academic Standards, 2000, Grade 6, 6.5.9

Circumference: Calculate/Formula
The learner will be able to determine the circumference of a circle using a given formula.

Strand	Bloom's	Scope	Source
Circumference	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.5.4

Circumference: Create/Formula
The learner will be able to create formulas to determine the circumference of a circle.

Strand	Bloom's	Scope	Source
Circumference	Synthesis	Master	IN: Academic Standards, 2000, Grade 6, 6.5.4

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

Strand	Bloom's	Scope	Source
Area of a Circle	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.5.4

Area of a Circle: Create
The learner will be able to create formulas to determine the area of a circle.

Strand	Bloom's	Scope	Source
Area of a Circle	Synthesis	Master	IN: Academic Standards, 2000, Grade 6, 6.5.4

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.

Equivalent Forms: Convert
The learner will be able to make conversions between any two numbers represented in fraction form, decimal form and percent form, without using a calculator.

Strand	Bloom's	Scope	Source
Equivalent Forms		Master	IN: Academic Standards, 2000, Grade 6, 6.1.4

Ratio/Proportion/Percent: Problem Solve
The learner will be able to develop a comprehension of ratios, proportions, and percents and their applications in problem solving.

Strand	Bloom's	Scope	Source
Ratio/Proportion		Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.12 week tested: 4.

Place Value: Comprehend/Whole Numbers
The learner will be able to reinforce their comprehension of place value for whole numbers.

Strand	Bloom's	Scope	Source
Place Value	Comprehension	Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.4 week tested: 4.

Place Value: Comprehend/Decimals
The learner will be able to reinforce their comprehension of place value for decimals.

Strand	Bloom's	Scope	Source
Place Value	Comprehension	Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.4 week tested: 4.

Number Sense: Significant Digits
The learner will be able to conceptually understand significant digits.

Strand	Bloom's	Scope	Source
Number Sense	Comprehension	Master	IN: Academic Standards, 2000, Grade 6, 6.5.6

Equivalent Forms: Decimal/Fraction
The learner will be able to identify decimal equivalents for common fractions without using a calculator.

Strand	Bloom's	Scope	Source
Equivalent Forms	Knowledge	Master	IN: Academic Standards, 2000, Grade 6, 6.1.5

Number Size: Apply/Ratios
The learner will be able to apply ratios in order to illustrate the relative sizes of two quantities.

Strand	Bloom's	Scope	Source
Number Size	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.2.6

Number Size: Interpret/Ratios
The learner will be able to interpret ratios in order to illustrate the relative sizes of two quantities.

Strand	Bloom's	Scope	Source
Number Size	Analysis	Master	IN: Academic Standards, 2000, Grade 6, 6.2.6

Proportion: Understand
The learner will be able to understand proportion.

Strand	Bloom's	Scope	Source
Ratio/Proportion	Comprehension	Master	IN: Academic Standards, 2000, Grade 6, 6.2.7

Ratio: Apply/Notation
The learner will be able to apply the following notations: a/b, a to b, and a:b.

Strand	Bloom's	Scope	Source
Ratio/Proportion	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.2.6

Ratio: Illustrate/Models
The learner will be able to use models to illustrate ratios.

Strand	Bloom's	Scope	Source
Ratio/Proportion	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.1.6

Ratio/Proportion: Problem Solving
The learner will be able to obtain problem solutions through the use of ratios and/or proportions.

Strand	Bloom's	Scope	Source
Ratio/Proportion	Application	Master	IN: Academic Standards, 2000, Grade 6, Standard 2

Multiples: Determine/LCM
The learner will be able to determine the least common multiple of whole numbers.

Strand	Bloom's	Scope	Source
Multiples	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.1.7

Multiples: Determine
The learner will be able to find multiples.

Strand	Bloom's	Scope	Source
Multiples	Application	Master	IN: Academic Standards, 2000, Grade 6, Standard 1

Factors: Determine
The learner will be able to find factors.

Strand	Bloom's	Scope	Source
Factors	Application	Master	IN: Academic Standards, 2000, Grade 6, Standard 1

Factors: Determine/GCF
The learner will be able to determine the greatest common factor of whole numbers.

Strand	Bloom's	Scope	Source
Factors	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.1.7

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: Increase Ability
The learner will be able to increase their ability to estimate using whole numbers, fractions, and decimals as they apply to measurement, geometry, and solving problems.

Strand	Bloom's	Scope	Source
Estimate/Problems		Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.7 week tested: 4.

Number Line: Compare/Illustrate
The learner will be able to make comparisons and illustrate positive and negative integers, fractions, decimals to hundredths, and mixed numbers on a number line.

Strand	Bloom's	Scope	Source
Number Lines		Master	IN: Academic Standards, 2000, Grade 6, 6.1.3

Compare/Order: Decimal/Fraction/Integer
The learner will be able to make comparisons and place in order positive and negative integers, decimals, fractions and mixed numbers.

Strand	Bloom's	Scope	Source
Comparing/Ordering		Master	IN: Academic Standards, 2000, Grade 6, Standard 1

Rounding: Significant Digits
The learner will be able to round solutions to a suitable number of significant digits.

Strand	Bloom's	Scope	Source
Rounding	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.5.6

Mental Math: Add/Subtract Decimals
The learner will be able to use strategies of mental math to add and subtract decimal amounts.

Strand	Bloom's	Scope	Source
Mental Math	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.2.10

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.

Number Sense: Percent/Comprehend
The learner will be able to comprehend percentage.

Strand	Bloom's	Scope	Source
Number Sense	Comprehension	Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.5 week tested: 4.

Problem Solving: Discount
The learner will be able to obtain solutions to problems involving discounts.

Strand	Bloom's	Scope	Source
Problem Solving	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.2.8

Problem Solving: Percents
The learner will be able to obtain solutions to problems involving percents.

Strand	Bloom's	Scope	Source
Problem Solving	Application	Master	IN: Academic Standards, 2000, Grade 6, Standard 2

Problem Solving: Tips
The learner will be able to obtain solutions to percent problems involving tips.

Strand	Bloom's	Scope	Source
Problem Solving	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.2.8

Calculate Percentages: Quantity
The learner will be able to compute percentages of quantities.

Strand	Bloom's	Scope	Source
Calculate Percentages	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.2.8

Perspective/Role in Society

The Perspective/Role in Society Unit includes Competencies/Objectives which focus on real world mathematics. Students study the mathematics of society and the role of mathematics in personal finance and careers.

Income: Interest Earned
The learner will be able to obtain solutions to problems involving interest earned.

Strand	Bloom's	Scope	Source
Income/Benefits	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.2.8

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.).

Probability: Comprehend/Predict
The learner will be able to develop a comprehension of the basic concepts of probability and the skills to use these concepts in making appropriate predictions.

Strand	Bloom's	Scope	Source
Probability		Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.11 week tested: 4.

Probability: Comprehend/Illustrate
The learner will be able to comprehend and illustrate probabilities as ratios, measures of relative frequency, decimals between 0 and 1, and percentages between 0 and 100 and confirm that the probabilities calculated are reasonable.

Strand	Bloom's	Scope	Source
Probability		Master	IN: Academic Standards, 2000, Grade 6, 6.6.6

Measures of Central Tendency: Compare
The learner will be able to make comparisons of the mean, median, and mode for a data set and describe which measure is most appropriate in a given situation.

Strand	Bloom's	Scope	Source
Measures of Central Tendency		Master	IN: Academic Standards, 2000, Grade 6, 6.6.3

Outcomes: Compound Event
The learner will be able to illustrate all possible outcomes for compound events in an organized manner and determine the theoretical probability of each outcome.

Strand	Bloom's	Scope	Source
Outcomes		Master	IN: Academic Standards, 2000, Grade 6, 6.6.4

Frequency Table: Create
The learner will be able to create frequency tables for numerical data, grouping data in various ways to explore how various groupings explain the data.

Strand	Bloom's	Scope	Source
Frequency		Master	IN: Academic Standards, 2000, Grade 6, 6.6.2

Frequency: Apply/Histograms
The learner will be able to apply histograms of data and of relative frequency distribution, and a broken line graph for cumulative frequency to interpret the data.

Strand	Bloom's	Scope	Source
Frequency		Master	IN: Academic Standards, 2000, Grade 6, 6.6.2

Frequency: Comprehend/Determine
The learner will be able to comprehend and determine the relative and cumulative frequency for a set of data.

Strand	Bloom's	Scope	Source
Frequency		Master	IN: Academic Standards, 2000, Grade 6, 6.6.2

Data Analysis: Gather/Organize/Analyze
The learner will be able to gather, organize, analyze, and interpret data using fundamental analysis procedures and articulate suitable conclusions.

Strand	Bloom's	Scope	Source
Data Analysis		Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.10 week tested: 4.

Graphing: Use/Check
The learner will be able to use graphing to approximate answers and check the approximations with analytic approaches.

Strand	Bloom's	Scope	Source
Graphing		Master	IN: Academic Standards, 2000, Grade 6, 6.7.8

Data Display: Organize/Describe
The learner will be able to organize and display one-variable data in suitable graphs and stem-and-leaf plots and describe which graphical forms are appropriate for different sets of data.

Strand	Bloom's	Scope	Source
Data Display		Master	IN: Academic Standards, 2000, Grade 6, 6.6.1

Probability: Experimental
The learner will be able to determine the experimental probability of an event.

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

Probability: Data/Estimate
The learner will be able to apply data in the estimation of the probability of future events.

Strand	Bloom's	Scope	Source
Probability	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.6.5

Predictions: Theoretical/Experimental
The learner will be able to formulate predictions according to theoretical or experimental probabilities.

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

Theoretical Probability
The learner will be able to calculate the theoretical probability of an event.

Strand	Bloom's	Scope	Source
Theoretical Probability	Application	Master	IN: Academic Standards, 2000, Grade 6, Standard 6

Statistics: Compute
The learner will be able to calculate statistical measurements for sets of data.

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

Data Analysis: Statistical Measurements
The learner will be able to analyze statistical measurements of sets of data.

Strand	Bloom's	Scope	Source
Data Analysis	Analysis	Master	IN: Academic Standards, 2000, Grade 6, 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 6, Standard 7

Strategies: Mathematical Language
The learner will be able to create methods for obtaining problem solutions by changing data into mathematical language.

Strand	Bloom's	Scope	Source
Strategies		Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.1 week tested: 4.

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 6, 6.7.3

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 6, 6.7.11

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

Strand	Bloom's	Scope	Source
Analyzing Problems		Master	IN: Academic Standards, 2000, Grade 6, 6.7.1

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 6, 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 6, 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 6, 6.7.6

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 6, 6.7.6

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 6, 6.7.9

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 6, 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 6, 6.7.10

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 6, 6.7.4

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 6, 6.7.7

Irrational Numbers
The learner will be able to comprehend the idea of irrational numbers.

Strand	Bloom's	Scope	Source
Irrational Numbers	Comprehension	Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.5 week tested: 4.

Irrational Numbers: Pi
The learner will be able to understand common estimates of pi.

Strand	Bloom's	Scope	Source
Irrational Numbers	Comprehension	Master	IN: Academic Standards, 2000, Grade 6, 6.5.5

Rational Numbers: Choose/Strategies
The learner will be able to choose strategies for the estimation of results of calculations with rational numbers of various forms.

Strand	Bloom's	Scope	Source
Rational Numbers	Application	Master	IN: Academic Standards, 2000, Grade 6, 6.7.7

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 Plane: Ordered Pairs
The learner will be able to recognize and correctly place ordered pairs of numbers in each of the four quadrants of the coordinate plane.

Strand	Bloom's	Scope	Source
Coordinate Geometry		Master	IN: Academic Standards, 2000, Grade 6, 6.3.7

Real Numbers: Computational Proficiency
The learner will be able to acquire an increased degree of computational performance with all types of real numbers.

Strand	Bloom's	Scope	Source
Real Numbers		Master	IN: Statewide Testing for Educational Progress (ISTEP+), 1999-2000, Grade 6, 6.6 week tested: 4.

Linear Equations/Inequalities: Solve
The learner will be able to create and obtain solutions to single-step linear equations and inequalities in one variable and check the solutions.

Strand	Bloom's	Scope	Source
Linear Equations/Inequalities		Master	IN: Academic Standards, 2000, Grade 6, 6.3.1