Mathematics IN: Grade 8

School City of Hobart
School City of Hobart Mathematics

Mathematics - IN: Grade 8

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 8

The ISTEP+ assesses the academic performance of students in Mathematics at grade 8.

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

Linear Inequalities: Solve/Simple
The learner will be able to obtain solutions to simple linear inequalities.

Strand	Bloom's	Scope	Source
Linear Inequalities	Application	Master	IN: Academic Standards, 2000, Grade 8, Standard 3

Order of Operations: Apply/Powers
The learner will be able to apply the order of operations to determine the values of algebraic expressions containing powers.

Strand	Bloom's	Scope	Source
Order of Operations	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.3.4

Linear Equations: Solve
The learner will be able to obtain solutions to simple linear equations.

Strand	Bloom's	Scope	Source
Linear Equations	Application	Master	IN: Academic Standards, 2000, Grade 8, Standard 3

Expressions: Evaluate
The learner will be able to evaluate expressions containing integer powers.

Strand	Bloom's	Scope	Source
Expressions	Application	Master	IN: Academic Standards, 2000, Grade 8, Standard 3

Expressions: Interpret
The learner will be able to interpret expressions containing integer powers.

Strand	Bloom's	Scope	Source
Expressions	Analysis	Master	IN: Academic Standards, 2000, Grade 8, Standard 3

Radicals: Apply/Roots
The learner will be able to apply roots.

Strand	Bloom's	Scope	Source
Radicals	Application	Master	IN: Academic Standards, 2000, Grade 8, Standard 1

Exponents: Comprehension
The learner will be able to comprehend negative integer exponents.

Strand	Bloom's	Scope	Source
Exponents	Comprehension	Master	IN: Academic Standards, 2000, Grade 8, 8.1.4

Exponents: Roots
The learner will be able to understand exponents and roots.

Strand	Bloom's	Scope	Source
Exponents	Comprehension	Master	IN: Academic Standards, 2000, Grade 8, Standard 1

Exponents: Evaluate
The learner will be able to evaluate negative integer exponents.

Strand	Bloom's	Scope	Source
Exponents	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.1.4

Exponents: Use/Laws of Exponents
The learner will be able to use the laws of exponents.

Strand	Bloom's	Scope	Source
Exponents	Application	Master	IN: Academic Standards, 2000, Grade 8, Standard 1

Exponents: Law of Exponents
The learner will be able to apply the laws of exponents for integer exponents.

Strand	Bloom's	Scope	Source
Exponents	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.1.5

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 8, 8.13 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 8, 8.13 week tested: 4.

Rates: Understand
The learner will be able to comprehend the concept of rate.

Strand	Bloom's	Scope	Source
Rates	Comprehension	Master	IN: Academic Standards, 2000, Grade 8, Standard 3

Rate: Demonstrate Understanding
The learner will be able to illustrate an understanding of rate being a measure of one quantity per unit value of another.

Strand	Bloom's	Scope	Source
Rates	Comprehension	Master	IN: Academic Standards, 2000, Grade 8, 8.3.7

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

Strand	Bloom's	Scope	Source
Computation	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.7.10

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.

Scatterplots: Representing Data
The learner will be able to use a scatterplot to represent two-variable data on the coordinate plane and explain the manner in which the data points are distributed, if the pattern appears to be linear, draw a line that appears to best fit the data, and write the equation of that line.

Strand	Bloom's	Scope	Source
Scatterplots		Master	IN: Academic Standards, 2000, Grade 8, 8.6.5

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.

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 8, 8.5 week tested: 4.

Functions

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

Quadratic Functions: Illustrate
The learner will be able to illustrate simple quadratic functions using oral descriptions, tables, graphs, and formulas and translate among these illustrations.

Strand	Bloom's	Scope	Source
Absolute Value/Quadratic Functions		Master	IN: Academic Standards, 2000, Grade 8, 8.3.9

Graphing: Functions
The learner will be able to make graphs of functions in the form y = nx^2 and y = nx^3 and explain the likenesses and differences in the graphs.

Strand	Bloom's	Scope	Source
Graphing Functions		Master	IN: Academic Standards, 2000, Grade 8, 8.3.10

Functions: Graph
The learner will be able to create graphs of functions.

Strand	Bloom's	Scope	Source
Graphing Functions	Application	Master	IN: Academic Standards, 2000, Grade 8, Standard 3

Graphing: Linear Functions
The learner will be able to graph linear functions.

Strand	Bloom's	Scope	Source
Graphing Functions	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.3.5

Functions: Recognize/Linear
The learner will be able to recognize linear functions.

Strand	Bloom's	Scope	Source
Functions	Knowledge	Master	IN: Academic Standards, 2000, Grade 8, 8.3.5

Functions: Interpret
The learner will be able to interpret functions.

Strand	Bloom's	Scope	Source
Functions	Analysis	Master	IN: Academic Standards, 2000, Grade 8, Standard 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.

Figures: Construct/Understanding
The learner will be able to deepen their understanding of two- and three-dimensional figures and properties by constructing figures that meet given criteria and by identifying characteristics of figures.

Strand	Bloom's	Scope	Source
Figures: Construct		Master	IN: Academic Standards, 2000, Grade 8, Standard 4

Geometric Concepts: Understand
The learner will be able to deepen their understanding of two- and three-dimensional figures by using geometric concepts to obtain solutions to problems.

Strand	Bloom's	Scope	Source
Geometric Concepts		Master	IN: Academic Standards, 2000, Grade 8, Standard 4

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 8, 8.8 week tested: 4.

Constructions: Geometric/Perform
The learner will be able to perform basic geometric constructions (copy line and angle, bisect line segments and angles, perpendicular lines and parallel lines).

Strand	Bloom's	Scope	Source
Constructions		Master	IN: Academic Standards, 2000, Grade 8, 8.4.2

Pythagorean Theorem: Apply
The learner will be able to apply the Pythagorean Theorem and its converse to obtain solutions to problems in two and three dimensions.

Strand	Bloom's	Scope	Source
Pythagorean Theorem	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.4.5

Transformations: Draw/Dilation
The learner will be able to draw examples of the dilation of shapes.

Strand	Bloom's	Scope	Source
Transformations	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.4.4

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 8, 8.4.4

Inductive Reasoning: Conjecture
The learner will be able to apply techniques of inductive reasoning to formulate a conjecture.

Strand	Bloom's	Scope	Source
Reasoning	Synthesis	Master	IN: Academic Standards, 2000, Grade 8, 8.7.5

Inductive Reasoning: Conjecture
The learner will be able to apply techniques of inductive reasoning to test conjectures.

Strand	Bloom's	Scope	Source
Reasoning	Synthesis	Master	IN: Academic Standards, 2000, Grade 8, 8.7.5

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 8, 8.4.4

Rotation: Draw/Examples
The learner will be able to draw examples of a turn.

Strand	Bloom's	Scope	Source
Rotations	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.4.4

Constructions: Explain/Procedures
The learner will be able to explain the procedures for basic geometric constructions.

Strand	Bloom's	Scope	Source
Constructions	Comprehension	Master	IN: Academic Standards, 2000, Grade 8, 8.4.2

Constructions: Procedures/Justify
The learner will be able to make justifications for the procedures for basic geometric constructions.

Strand	Bloom's	Scope	Source
Constructions	Evaluation	Master	IN: Academic Standards, 2000, Grade 8, 8.4.2

Properties: Recognize
The learner will be able to recognize the basic properties of geometric figures.

Strand	Bloom's	Scope	Source
Properties of Figures	Knowledge	Master	IN: Academic Standards, 2000, Grade 8, 8.4.1

Properties: Identify/Three-Dimensional
The learner will be able to identify the properties of three-dimensional figures.

Strand	Bloom's	Scope	Source
Properties of Figures	Knowledge	Master	IN: Academic Standards, 2000, Grade 8, 8.4.3

Properties: Explain
The learner will be able to explain the basic properties of geometric figures.

Strand	Bloom's	Scope	Source
Properties of Figures	Comprehension	Master	IN: Academic Standards, 2000, Grade 8, 8.4.1

Combine Figures: Explain/Intersection
The learner will be able to explain the intersection of two or more geometric figures in a plane or in space.

Strand	Bloom's	Scope	Source
Combine/Partition/Transform	Comprehension	Master	IN: Academic Standards, 2000, Grade 8, 8.4.3

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.

Integers: Interpret/Integer Powers
The learner will be able to interpret positive integer powers as being repeated multiplication and negative integer powers as being repeated division or multiplication by the multiplicative inverse.

Strand	Bloom's	Scope	Source
Integers		Master	IN: Academic Standards, 2000, Grade 8, 8.3.3

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 8, 8.5 week tested: 4.

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 8, 8.3 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 8, 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 8, 8.7.6

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 8, 8.7.2

Relationships: Comprehend
The learner will be able to comprehend the relationship among tables, equations, oral expressions, and graphs of linear functions.

Strand	Bloom's	Scope	Source
Relationships	Comprehension	Master	IN: Academic Standards, 2000, Grade 8, 8.3.8

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 8, 8.3 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 8, 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 8, 8.2 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 8, 8.2 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 8, 8.9 week tested: 4.

Area: Approximate/Calculate
The learner will be able to approximate and calculate the area of more complex or irregular two- and three-dimensional shapes by dividing them into more basic geometric figures.

Strand	Bloom's	Scope	Source
Area		Master	IN: Academic Standards, 2000, Grade 8, 8.5.5

Perimeter/Area/Volume: Scale Change
The learner will be able to explore the manner in which perimeter, area, and volume are altered when the measurement scale is changed.

Strand	Bloom's	Scope	Source
Perimeter/Area/Volume		Master	IN: Academic Standards, 2000, Grade 8, Standard 5

Perimeter/Area/Volume: Calculate
The learner will be able to calculate the perimeter, area, and volume of geometric objects.

Strand	Bloom's	Scope	Source
Perimeter/Area/Volume		Master	IN: Academic Standards, 2000, Grade 8, Standard 5

Volume: Approximate/Calculate
The learner will be able to approximate and calculate the volume of irregular two- and three-dimensional shapes by dividing them into more basic geometric figures.

Strand	Bloom's	Scope	Source
Volume		Master	IN: Academic Standards, 2000, Grade 8, 8.5.5

Conversion: Same System
The learner will be able to perform conversions of common measurements for length, area, volume, capacity, weight and time from one measure to another equivalent measure within the same system.

Strand	Bloom's	Scope	Source
Converting		Master	IN: Academic Standards, 2000, Grade 8, 8.5.1

Problem Solving: Rates
The learner will be able to obtain solutions to problems by applying rates.

Strand	Bloom's	Scope	Source
Problem Solving	Application	Master	IN: Academic Standards, 2000, Grade 8, Standard 5

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 8, Standard 2

Problem Solving: Rates
The learner will be able to obtain solutions to simple problems involving rates and other derived measures.

Strand	Bloom's	Scope	Source
Problem Solving	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.5.2

Scale Factors: Problem Solve
The learner will be able to solve problems using scale factors.

Strand	Bloom's	Scope	Source
Scale Drawings	Application	Master	IN: Academic Standards, 2000, Grade 8, Standard 5

Formula: Surface Area/Volume
The learner will be able to apply formulas for the surface area and volume of basic three-dimensional figures.

Strand	Bloom's	Scope	Source
Formulas	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.5.4

Formula: Perimeter/Area
The learner will be able to frequently apply the formulas for perimeter and area of basic two-dimensional shapes.

Strand	Bloom's	Scope	Source
Formulas	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.5.4

Converting: Units
The learner will be able to perform unit conversions.

Strand	Bloom's	Scope	Source
Converting	Synthesis	Master	IN: Academic Standards, 2000, Grade 8, Standard 5

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.

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 8, 8.12 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 8, 8.4 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 8, 8.4 week tested: 4.

Ratio/Proportion: Apply/Problem Solve
The learner will be able to apply ratio and proportion to obtain solutions to problems involving scale factors.

Strand	Bloom's	Scope	Source
Ratio/Proportion	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.5.3

Ratio: Problem Solving
The learner will be able to use the concept of ratio in problem solving scenarios.

Strand	Bloom's	Scope	Source
Ratio/Proportion	Application	Master	IN: Academic Standards, 2000, Grade 8, Standard 2

Ratio/Proportion: Area/Volume
The learner will be able to use ratio and proportion to solve problems involving area and volume.

Strand	Bloom's	Scope	Source
Ratio/Proportion	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.5.3

Square Roots: Estimate/Value
The learner will be able to estimate the value of a given square root.

Strand	Bloom's	Scope	Source
Roots/Radicals	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.1.7

Square Roots: Determine
The learner will be able to determine square roots.

Strand	Bloom's	Scope	Source
Roots/Radicals	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.1.7

Square Root: Apply/Inverse Relationship
The learner will be able to apply the inverse relationship that exists between squaring and determining the square root of a perfect square integer.

Strand	Bloom's	Scope	Source
Roots/Radicals	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.1.6

Scientific Notation: Read/Decimals
The learner will be able to read a decimal number written in scientific notation.

Strand	Bloom's	Scope	Source
Scientific Notation	Knowledge	Master	IN: Academic Standards, 2000, Grade 8, 8.1.1

Scientific Notation: Write/Decimal
The learner will be able to write any decimal number in scientific notation.

Strand	Bloom's	Scope	Source
Scientific Notation	Knowledge	Master	IN: Academic Standards, 2000, Grade 8, 8.1.1

Scientific Notation: Solve/Decimals
The learner will be able to obtain solutions to problems involving decimal numbers written in scientific notation.

Strand	Bloom's	Scope	Source
Scientific Notation	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.1.1

Scientific Notation: Compare/Decimals
The learner will be able to compare decimal numbers written in scientific notation.

Strand	Bloom's	Scope	Source
Scientific Notation	Analysis	Master	IN: Academic Standards, 2000, Grade 8, 8.1.1

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: 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 8, 8.7 week tested: 4.

Estimation Strategies: Apply
The learner will be able to decide whether solutions to computations on a calculator are reasonable using estimation strategies.

Strand	Bloom's	Scope	Source
Estimation Strategies	Analysis	Master	IN: Academic Standards, 2000, Grade 8, 8.2.3

Mental Math: Use/Decimals
The learner will be able to use mental math to calculate with decimals.

Strand	Bloom's	Scope	Source
Mental Math	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.2.4

Mental Math: Use/Fractions
The learner will be able to use mental math to calculate with basic fractions.

Strand	Bloom's	Scope	Source
Mental Math	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.2.4

Mental Math: Use/Powers
The learner will be able to use mental math to calculate with powers.

Strand	Bloom's	Scope	Source
Mental Math	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.2.4

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 8, 8.5 week tested: 4.

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 8, Standard 2

Percent: Mental Math
The learner will be able to calculate percents using mental math.

Strand	Bloom's	Scope	Source
Calculate Percentages	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.2.4

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.

Interest: Compute/Simple
The learner will be able to compute simple interest.

Strand	Bloom's	Scope	Source
Loans/Credit	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.2.2

Interest: Compute/Compound
The learner will be able to compute compound interest.

Strand	Bloom's	Scope	Source
Loans/Credit	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.2.2

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: Determine/Predict
The learner will be able to determine the probabilities of events and predict outcomes.

Strand	Bloom's	Scope	Source
Average/Median/Mode/Range		Master	IN: Academic Standards, 2000, Grade 8, Standard 6

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 8, 8.11 week tested: 4.

Sampling: Recognize/Strategies
The learner will be able to recognize various strategies for choosing samples, analyzing the strengths and weaknesses of each strategy, and the potential bias in a sample or display.

Strand	Bloom's	Scope	Source
Sampling		Master	IN: Academic Standards, 2000, Grade 8, 8.6.2

Statistics: Recognize
The learner will be able to recognize claims based on statistical data and, in simple instances, evaluate whether the claims are reasonable.

Strand	Bloom's	Scope	Source
Statistics		Master	IN: Academic Standards, 2000, Grade 8, 8.6.1

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 8, 8.10 week tested: 4.

Data Analysis: Understanding
The learner will be able to know the meaning of, as well as calculate or identify the minimum, lower quartile, median, upper quartile, the interquartile range, and the maximum of a set of data.

Strand	Bloom's	Scope	Source
Data Analysis		Master	IN: Academic Standards, 2000, Grade 8, 8.6.3

Data Management: Data Sets
The learner will be able to gather, organize, illustrate and interpret relationships in sets of data that have at least one variable.

Strand	Bloom's	Scope	Source
Data Management		Master	IN: Academic Standards, 2000, Grade 8, Standard 6

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 8, 8.7.9

Data Display: Study/Interpret/Illustrate
The learner will be able to study, interpret, and illustrate one- and two-variable data in suitable bar, line and circle graphs, stem-and-leaf plots and box-and-whisker plots, and describe with types of display are suitable for different data sets.

Strand	Bloom's	Scope	Source
Data Display		Master	IN: Academic Standards, 2000, Grade 8, 8.6.4

Probability: Equally Likely
The learner will be able to understand the meaning of an event being equally likely.

Strand	Bloom's	Scope	Source
Probability	Comprehension	Master	IN: Academic Standards, 2000, Grade 8, 8.6.6

Outcomes: Recognize/Equally Likely
The learner will be able to recognize equally likely events.

Strand	Bloom's	Scope	Source
Outcomes	Knowledge	Master	IN: Academic Standards, 2000, Grade 8, 8.6.6

Permutations: Determine
The learner will be able to determine the number of ways several objects may be arranged through the use of the Basic Counting Principle or a diagram.

Strand	Bloom's	Scope	Source
Permutations	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.6.7

Experiments: Develop/Explore/Claim
The learner will be able to develop a study to explore a claim.

Strand	Bloom's	Scope	Source
Experiments	Synthesis	Master	IN: Academic Standards, 2000, Grade 8, 8.6.1

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 8, 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 8, 8.7.3

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 8, 8.1 week tested: 4.

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 8, 8.7.12

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 8, 8.7.1

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 8, 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 8, 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 8, 8.7.7

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 8, 8.7.7

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 8, 8.7.10

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 8, 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 8, 8.7.11

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 8, 8.7.4

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 8, 8.7.8

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 8, 8.5 week tested: 4.

Irrational Numbers: Comprehend
The learner will be able to comprehend that all irrational numbers are non-repeating decimals.

Strand	Bloom's	Scope	Source
Irrational Numbers	Comprehension	Master	IN: Academic Standards, 2000, Grade 8, 8.1.2

Irrational Number: Comprehend/Properties
The learner will be able to comprehend the properties of irrational numbers that are expressed in different forms.

Strand	Bloom's	Scope	Source
Irrational Numbers	Comprehension	Master	IN: Academic Standards, 2000, Grade 8, Standard 1

Rational Numbers: Comprehend
The learner will be able to comprehend that all rational numbers are either terminating or repeating decimals.

Strand	Bloom's	Scope	Source
Rational Numbers	Comprehension	Master	IN: Academic Standards, 2000, Grade 8, 8.1.2

Rational Numbers: Comprehend/Calculation
The learner will be able to comprehend that calculations with an irrational number and a rational number (other than zero) will generate an irrational number.

Strand	Bloom's	Scope	Source
Rational Numbers	Comprehension	Master	IN: Academic Standards, 2000, Grade 8, 8.1.3

Rational Numbers: Comprehend/Properties
The learner will be able to comprehend the properties of rational numbers that are expressed in different forms.

Strand	Bloom's	Scope	Source
Rational Numbers	Comprehension	Master	IN: Academic Standards, 2000, Grade 8, Standard 1

Rational Numbers: Multi-Step Problems
The learner will be able to perform the basic operations with rational number in multi-step problems.

Strand	Bloom's	Scope	Source
Rational Numbers	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.2.1

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 8, 8.7.8

Rational Numbers: Compute
The learner will be able to perform computations with rational numbers.

Strand	Bloom's	Scope	Source
Rational Numbers	Application	Master	IN: Academic Standards, 2000, Grade 8, Standard 2

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.

Linear Equation: Solve
The learner will be able to obtain solutions to systems of two linear equations using substitution and determine approximate solutions graphically.

Strand	Bloom's	Scope	Source
Linear Equations		Master	IN: Academic Standards, 2000, Grade 8, 8.3.2

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 8, 8.6 week tested: 4.

Linear Equations/Inequalities: Create
The learner will be able to create and obtain solutions to linear equations and inequalities in one variable, interpret the result(s) in their context, and confirm the reasonableness of the results.

Strand	Bloom's	Scope	Source
Linear Equations/Inequalities		Master	IN: Academic Standards, 2000, Grade 8, 8.3.1

Slope: Recognize/Positive and Negative
The learner will be able to recognize lines with positive and negative slope.

Strand	Bloom's	Scope	Source
Slope	Knowledge	Master	IN: Academic Standards, 2000, Grade 8, 8.3.5

Slope: Understand/Concept
The learner will be able to understand the concept of slope.

Strand	Bloom's	Scope	Source
Slope	Comprehension	Master	IN: Academic Standards, 2000, Grade 8, Standard 3

Slope: Linear Function
The learner will be able to determine the slope of a linear function when given the equation.

Strand	Bloom's	Scope	Source
Slope	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.3.6

Linear Equations: Slope/Point
The learner will be able to determine the equation of a line given the slope and a point on the line.

Strand	Bloom's	Scope	Source
Linear Equations	Application	Master	IN: Academic Standards, 2000, Grade 8, 8.3.6