School City of Hobart
School City of Hobart Mathematics

Mathematics - IN: Algebra I

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: Algebra I

The Indiana Academic Standards for Mathematics include standards for students in Algebra I.


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 System of Equations: Substitution
The learner will be able to use substitution in obtaining solutions to systems of two linear equations in two variables.
Strand Bloom's Scope Source
Linear Systems of Inequalities Master IN: Academic Standards, 2000, Algebra I, A1.5.3
  
    Equations: Comprehend/Logic
The learner will be able to comprehend that the logic of finding the solutions to equations begins with the assumption that the variable is a number that satisfies the equation, and that the process used when solving equations generates new equations that usually have the same solution set as the original, and understand that similar logic applies to obtaining solutions to systems of equations simultaneously.
Strand Bloom's Scope Source
Equations Master IN: Academic Standards, 2000, Algebra I, A1.9.4
  
    Linear Equations: Comprehend/Apply
The learner will be able to comprehend and apply multiplication with the addition or subtraction method to obtain solutions to a pair of linear equations in two variables.
Strand Bloom's Scope Source
Linear Equations Master IN: Academic Standards, 2000, Algebra I, A1.5.5
  
    Linear Equations: Solve
The learner will be able to comprehend and apply the addition or subtraction method to obtain solutions to a pair of linear equations in two variables.
Strand Bloom's Scope Source
Linear Equations Master IN: Academic Standards, 2000, Algebra I, A1.5.4
  
    Linear Equations: Write/Apply
The learner will be able to write the equation of a line that represents a data set and apply the equation or graph of the equation to formulate predictions.
Strand Bloom's Scope Source
Linear Equations Master IN: Academic Standards, 2000, Algebra I, A1.4.5
  
    Polynomials: Relationships
The learner will be able to comprehend and explain the relationships among the solutions of an equation, the zeros of a function, the x-intercepts of a graph, and the factors of a polynomial expression.
Strand Bloom's Scope Source
Polynomials Master IN: Academic Standards, 2000, Algebra I, A1.6.8
  
    Linear Inequalities: Solve
The learner will be able to solve for the solution set of a linear inequality when replacement values are given for the variable.
Strand Bloom's Scope Source
Linear Inequalities Application Master IN: Academic Standards, 2000, Algebra I, A1.2.3
  
    Linear Inequalities: Graph/Two Variables
The learner will be able to create a graph for a linear inequality in two variables.
Strand Bloom's Scope Source
Linear Inequalities Application Master IN: Academic Standards, 2000, Algebra I, Standard 4, A1.4.6
  
    Properties: Understand/Associative
The learner will be able to understand the associative property.
Strand Bloom's Scope Source
Properties Comprehension Master IN: Academic Standards, 2000, Algebra I, A1.1.3
  
    Properties: Understand/Commutative
The learner will be able to understand the commutative property.
Strand Bloom's Scope Source
Properties Comprehension Master IN: Academic Standards, 2000, Algebra I, A1.1.3
  
    Properties: Comprehend/Distributive
The learner will be able to comprehend the distributive property.
Strand Bloom's Scope Source
Properties Comprehension Master IN: Academic Standards, 2000, Algebra I, A1.1.3
  
    Properties: Applying
The learner will be able to apply the distributive, associative, and commutative properties.
Strand Bloom's Scope Source
Properties Application Master IN: Academic Standards, 2000, Algebra I, A1.1.3
  
    Linear Equations: Solve
The learner will be able to obtain solutions to linear equations.
Strand Bloom's Scope Source
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, A1.2.1
  
    Linear Equations: Graph/Two-Variables
The learner will be able to graph a linear equation in two variables.
Strand Bloom's Scope Source
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 4
  
    Linear Equations: Write
The learner will be able to write the equation of a line when given suitable information.
Strand Bloom's Scope Source
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, A1.4.4
  
    Expressions: Compare
The learner will be able to compare expressions.
Strand Bloom's Scope Source
Expressions Analysis Master IN: Academic Standards, 2000, Algebra I, Standard 1
  
    Expressions: Comparing/Real Numbers
The learner will be able to compare expressions with real numbers.
Strand Bloom's Scope Source
Expressions Analysis Master IN: Academic Standards, 2000, Algebra I, A1.1.1
  
    Polynomials: Identify/Factors
The learner will be able to identify a common monomial factor in a polynomial.
Strand Bloom's Scope Source
Polynomials Knowledge Master IN: Academic Standards, 2000, Algebra I, A1.6.6
  
    Polynomials: Add
The learner will be able to add polynomials.
Strand Bloom's Scope Source
Polynomials Application Master IN: Academic Standards, 2000, Algebra I, Standard 6, A1.6.1
  
    Polynomials: Subtracting
The learner will be able to subtract polynomials.
Strand Bloom's Scope Source
Polynomials Application Master IN: Academic Standards, 2000, Algebra I, Standard 6, A1.6.1
  
    Monomials: Multiplying
The learner will be able to multiply monomials.
Strand Bloom's Scope Source
Polynomials Application Master IN: Academic Standards, 2000, Algebra I, A1.6.2
  
    Polynomials: Multiply
The learner will be able to multiply polynomials.
Strand Bloom's Scope Source
Polynomials Application Master IN: Academic Standards, 2000, Algebra I, Standard 6, A1.6.4
  
    Monomials: Divide
The learner will be able to perform division of monomials.
Strand Bloom's Scope Source
Polynomials Application Master IN: Academic Standards, 2000, Algebra I, A1.6.2
  
    Polynomials: Divide by Monomial
The learner will be able to divide a polynomial by a monomial.
Strand Bloom's Scope Source
Polynomials Application Master IN: Academic Standards, 2000, Algebra I, A1.6.5
  
    Polynomials: Divide
The learner will be able to divide polynomials.
Strand Bloom's Scope Source
Polynomials Application Master IN: Academic Standards, 2000, Algebra I, Standard 6
  
    Monomials: Powers/Roots
The learner will be able to determine powers and roots of monomials, when the answer has an integer exponent.
Strand Bloom's Scope Source
Polynomials Application Master IN: Academic Standards, 2000, Algebra I, A1.6.3
  
    Radical Expressions: Solve
The learner will be able to obtain solutions to equations that contain radical expressions.
Strand Bloom's Scope Source
Radicals Application Master IN: Academic Standards, 2000, Algebra I, A1.8.8
  
    Radical: Solve/Equations
The learner will be able to solve radical equations.
Strand Bloom's Scope Source
Radicals Application Master IN: Academic Standards, 2000, Algebra I, Standard 8
  
    Radical: Graph/Equations
The learner will be able to graph radical equations.
Strand Bloom's Scope Source
Radicals Application Master IN: Academic Standards, 2000, Algebra I, Standard 8, A1.8.1
  
    Quadratic Equations: Graphing
The learner will be able to graph a quadratic equation on the coordinate plane.
Strand Bloom's Scope Source
Quadratic Equations/Formula Application Master IN: Academic Standards, 2000, Algebra I, Standard 8, A1.8.1
  
    Quadratic Equation: Factoring
The learner will be able to solve quadratic equations by factoring.
Strand Bloom's Scope Source
Quadratic Equations/Formula Application Master IN: Academic Standards, 2000, Algebra I, A1.8.2
  
    Quadratic Equation: Quadratic Formula
The learner will be able to solve quadratic equations by applying the quadratic formula.
Strand Bloom's Scope Source
Quadratic Equations/Formula Application Master IN: Academic Standards, 2000, Algebra I, A1.8.6
  
    Quadratic Equations: Solve
The learner will be able to solve a quadratic equation where a perfect square equals a constant.
Strand Bloom's Scope Source
Quadratic Equations/Formula Application Master IN: Academic Standards, 2000, Algebra I, A1.8.3
  
    Quadratic Equations: Graphing
The learner will be able to apply graphing technology to obtain approximate solutions to quadratic equations.
Strand Bloom's Scope Source
Quadratic Equations/Formula Application Master IN: Academic Standards, 2000, Algebra I, A1.8.9
  
    Quadratic Equations: Solve
The learner will be able to find solutions to quadratic equations.
Strand Bloom's Scope Source
Quadratic Equations/Formula Application Master IN: Academic Standards, 2000, Algebra I, Standard 8
  
    Quadratic Equations: Completing Square
The learner will be able to solve quadratic equations by completing the square.
Strand Bloom's Scope Source
Quadratic Equations/Formula Application Master IN: Academic Standards, 2000, Algebra I, A1.8.4
  
    Quadratic Formula: Derive
The learner will be able to derive the quadratic formula through completion of the square.
Strand Bloom's Scope Source
Quadratic Equations/Formula Evaluation Master IN: Academic Standards, 2000, Algebra I, A1.8.5
  
    Exponents: Apply
The learner will be able to apply rational exponents.
Strand Bloom's Scope Source
Exponents Application Master IN: Academic Standards, 2000, Algebra I, Standard 1
  
    Exponents: Apply/Law
The learner will be able to apply the law of exponents for rational exponents.
Strand Bloom's Scope Source
Exponents Application Master IN: Academic Standards, 2000, Algebra I, A1.1.4
  
    Formulas: Solve/Story Problems
The learner will be able to obtain solutions to story problems involving formulas.
Strand Bloom's Scope Source
Formulas Application Master IN: Academic Standards, 2000, Algebra I, Standard 2, A1.2.6
  
    Formulas: Solve/Variable
The learner will be able to obtain solutions to formulas for a specified variable.
Strand Bloom's Scope Source
Formulas Application Master IN: Academic Standards, 2000, Algebra I, A1.2.2
  
    Factoring: Quadratic
The learner will be able to factor quadratics.
Strand Bloom's Scope Source
Factoring Application Master IN: Academic Standards, 2000, Algebra I, Standard 6, A1.6.7
  
    Factoring: Difference of Squares
The learner will be able to factor the difference between two squares.
Strand Bloom's Scope Source
Factoring Application Master IN: Academic Standards, 2000, Algebra I, A1.6.7
  
    Solve Equations: Specified Variable
The learner will be able to obtain solutions to equations for a specified variable.
Strand Bloom's Scope Source
Solve Equations Application Master IN: Academic Standards, 2000, Algebra I, A1.2.2
  
    Nonlinear Equations: Graph/Cubic
The learner will be able to graph cubic equations.
Strand Bloom's Scope Source
Nonlinear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 8, A1.8.1
  
    Nonlinear Equations: Cubic
The learner will be able to apply graphing technology to obtain approximate solutions to cubic equations.
Strand Bloom's Scope Source
Nonlinear Equations Application Master IN: Academic Standards, 2000, Algebra I, A1.8.9
  
    Simplify Expressions
The learner will be able to simplify expressions.
Strand Bloom's Scope Source
Simplify Expressions Application Master IN: Academic Standards, 2000, Algebra I, Standard 1
  
    Simplify Expressions: Ratios/Algebraic
The learner will be able to simplify ratios with algebraic expressions.
Strand Bloom's Scope Source
Simplify Expressions Application Master IN: Academic Standards, 2000, Algebra I, Standard 7, A1.7.1
  

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

    Function/Relation: Identify
The learner will be able to identify if a relation is a function.
Strand Bloom's Scope Source
Functions/Relations Knowledge Master IN: Academic Standards, 2000, Algebra I, A1.3.3
  
    Connecting: Functions/Equations
The learner will be able to connect equations with functions.
Strand Bloom's Scope Source
Connecting Analysis Master IN: Academic Standards, 2000, Algebra I, A1.3.3
  
    Exploring: Study/Graphs
The learner will be able to study functions through the application of graphs.
Strand Bloom's Scope Source
Exploring Analysis Master IN: Academic Standards, 2000, Algebra I, Standard 3
  
    Relations: Domain/Range
The learner will be able to identify the domain and range for a given relation.
Strand Bloom's Scope Source
Relations Knowledge Master IN: Academic Standards, 2000, Algebra I, A1.3.4
  
    Relations: Graph/Draw
The learner will be able to draw a graph for a given relationship.
Strand Bloom's Scope Source
Relations Application Master IN: Academic Standards, 2000, Algebra I, A1.3.1
  
    Functions: Comprehend/Concept
The learner will be able to comprehend the concept of a function.
Strand Bloom's Scope Source
Functions Comprehension Master IN: Academic Standards, 2000, Algebra I, Standard 3, A1.3.3
  

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.

    Inductive/Deductive Reasoning: Identify
The learner will be able to identify the difference between inductive and deductive reasoning.
Strand Bloom's Scope Source
Reasoning Knowledge Master IN: Academic Standards, 2000, Algebra I, A1.9.6
  

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

    Reasoning: True/False
The learner will be able to determine if a given algebraic statement is true always, never, or occasionally.
Strand Bloom's Scope Source
Reasoning Master IN: Academic Standards, 2000, Algebra I, A1.9.5
  
    Math as Reasoning: Create/Evaluate
The learner will be able to create and evaluate mathematical arguments and proofs.
Strand Bloom's Scope Source
Reasoning Master IN: Academic Standards, 2000, Algebra I, Standard 9
  
    Reasoning: Identify Examples
The learner will be able to recognize examples of inductive and deductive reasoning.
Strand Bloom's Scope Source
Reasoning Knowledge Master IN: Academic Standards, 2000, Algebra I, A1.9.6
  
    Reasoning: Recognize/Hypothesis
The learner will be able to recognize the hypothesis in a logical deduction.
Strand Bloom's Scope Source
Reasoning Knowledge Master IN: Academic Standards, 2000, Algebra I, A1.9.7
  
    Reasoning: Recognize/Conclusion
The learner will be able to recognize the conclusion in a logical deduction.
Strand Bloom's Scope Source
Reasoning Knowledge Master IN: Academic Standards, 2000, Algebra I, A1.9.7
  
    Reasoning: Counterexamples
The learner will be able to use counterexamples to illustrate that statements are false, identifying that one counterexample is sufficient to prove that a general statement is false.
Strand Bloom's Scope Source
Reasoning Application Master IN: Academic Standards, 2000, Algebra I, A1.9.8
  
    Reasoning: Provide Examples
The learner will be able to offer examples of deductive and inductive reasoning.
Strand Bloom's Scope Source
Reasoning Synthesis Master IN: Academic Standards, 2000, Algebra I, A1.9.6
  

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.

    Measurement Analysis: Dimensional
The learner will be able to apply dimensional analysis for computations.
Strand Bloom's Scope Source
Measurement: Analysis Application Master IN: Academic Standards, 2000, Algebra I, A1.1.5
  
    Measurement Analysis: Unit Conversion
The learner will be able to apply dimensional analysis for unit conversion.
Strand Bloom's Scope Source
Measurement: Analysis Synthesis Master IN: Academic Standards, 2000, Algebra I, A1.1.5
  

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.

    Proportions: Solve/Algebraic
The learner will be able to obtain solutions to algebraic proportions.
Strand Bloom's Scope Source
Ratio/Proportion Application Master IN: Academic Standards, 2000, Algebra I, Standard 7, A1.7.2
  
    Square Roots: Simplify/Factors
The learner will be able to use factors to simplify square roots.
Strand Bloom's Scope Source
Roots/Radicals Application Master IN: Academic Standards, 2000, Algebra I, A1.1.2
  
    Square Roots: Simplify
The learner will be able to simplify square roots.
Strand Bloom's Scope Source
Roots/Radicals Application Master IN: Academic Standards, 2000, Algebra I, Standard 1
  

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.).

    Graphs: Sketch
The learner will be able to sketch a graph that illustrates a given scenario.
Strand Bloom's Scope Source
Graphing Application Master IN: Academic Standards, 2000, Algebra I, Standard 3
  
    Graphs: Interpret
The learner will be able to interpret graphs that illustrate a given scenario.
Strand Bloom's Scope Source
Graphing Analysis Master IN: Academic Standards, 2000, Algebra I, Standard 3, A1.3.2
  

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

    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, Algebra I, A1.9.2
  
    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, Algebra I, Standard 9, A1.9.1
  
    Word Problems: Applying Techniques
The learner will be able to apply the various methods of solution used on quadratic equations in the context of a word problem.
Strand Bloom's Scope Source
Word Problems Application Master IN: Academic Standards, 2000, Algebra I, A1.8.7
  

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.

    Real Number Properties: Apply
The learner will be able to apply the properties of the real number system and the order of operations to justify the processes used in simplifying functions and obtaining solutions to equations.
Strand Bloom's Scope Source
Real Number Properties Master IN: Academic Standards, 2000, Algebra I, A1.9.3
  
    Slope: Explain
The learner will be able to explain the slope of the line in terms of the data, identifying that the slope is the rate of change.
Strand Bloom's Scope Source
Slope Comprehension Master IN: Academic Standards, 2000, Algebra I, A1.4.5
  
    Slope: Determine/Y-Intercept
The learner will be able to determine the slope and y-intercept of a line.
Strand Bloom's Scope Source
Slope Application Master IN: Academic Standards, 2000, Algebra I, Standard 4
  
    Linear Equations: Substitution
The learner will be able to understand the use of substitution in obtaining solutions to systems of two linear equations in two variables.
Strand Bloom's Scope Source
Linear Equations Comprehension Master IN: Academic Standards, 2000, Algebra I, A1.5.3
  
    Linear Equations: Solve/One Variable
The learner will be able to find the solution to one-variable linear equations.
Strand Bloom's Scope Source
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 2
  
    Linear Equations: Write
The learner will be able to write the equation of a line.
Strand Bloom's Scope Source
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 4
  
    Linear Equations: Write/Slope-Intercept
The learner will be able to write the slope-intercept form of an equation of a line.
Strand Bloom's Scope Source
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, A1.4.3
  
    Linear Equations: Solve/Story Problems
The learner will be able to obtain solutions to story problems involving linear equations.
Strand Bloom's Scope Source
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 2, A1.2.6
  
    Linear Equations: Problem Solving
The learner will be able to obtain solutions to word problems using pairs of linear equations.
Strand Bloom's Scope Source
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, A1.5.6
  
    Linear Equations: Approximate/Solution
The learner will be able to approximate the solution of a pair of linear equations in two variables using a graph.
Strand Bloom's Scope Source
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, A1.5.1
  
    Linear Equations: Solve/Graph
The learner will be able to obtain solutions to pairs of linear equations using graphs.
Strand Bloom's Scope Source
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 5
  
    Linear Equations: Solve
The learner will be able to obtain solutions to story problems involving pairs of linear equations.
Strand Bloom's Scope Source
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 5
  
    Linear Equations: Solve/Algebra
The learner will be able to obtain solutions to pairs of linear equations using algebraic methods.
Strand Bloom's Scope Source
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 5
  
    Linear Equations: Real World Models
The learner will be able to represent real world situations with linear equations.
Strand Bloom's Scope Source
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 4
  
    Linear Inequalities: Solve/One Variable
The learner will be able to find the solutions to one-variable linear inequalities.
Strand Bloom's Scope Source
Linear Inequalities Application Master IN: Academic Standards, 2000, Algebra I, Standard 2
  
    Linear Inequalities: Solve/Properties
The learner will be able to obtain solutions to linear inequalities applying the properties of order.
Strand Bloom's Scope Source
Linear Inequalities Application Master IN: Academic Standards, 2000, Algebra I, A1.2.4
  
    Linear Inequalities: Solve/Story Problem
The learner will be able to obtain solutions to story problems involving linear inequalities.
Strand Bloom's Scope Source
Linear Inequalities Application Master IN: Academic Standards, 2000, Algebra I, Standard 2, A1.2.6
  
    Linear Inequalities: Solve
The learner will be able to obtain solutions to combined linear inequalities.
Strand Bloom's Scope Source
Linear Inequalities Application Master IN: Academic Standards, 2000, Algebra I, A1.2.5
  
    Linear Inequalities: Solve/Graph
The learner will be able to use graphs to obtain solutions to pairs of linear inequalities.
Strand Bloom's Scope Source
Linear Inequalities Application Master IN: Academic Standards, 2000, Algebra I, Standard 5
  
    Linear Inequalities: Graph
The learner will be able to determine the solution set of a pair of linear inequalities in two variables using a graph.
Strand Bloom's Scope Source
Linear Inequalities Application Master IN: Academic Standards, 2000, Algebra I, A1.5.2
  
    Graphing: Comprehend/Slope/Y-intercept
The learner will be able to comprehend how the slope and y-intercept of a graph are associated with the equation.
Strand Bloom's Scope Source
Graphing Comprehension Master IN: Academic Standards, 2000, Algebra I, A1.4.3
  
    Graphing: Linear Equations
The learner will be able to graph a linear equation.
Strand Bloom's Scope Source
Graphing Application Master IN: Academic Standards, 2000, Algebra I, A1.4.1
  
    Graphing: Determine/Slope/Intercepts
The learner will be able to determine the slope, x- and y-intercept of a line given its graph, its equation, or two points on a line.
Strand Bloom's Scope Source
Graphing Application Master IN: Academic Standards, 2000, Algebra I, A1.4.2
  
    Graphing: Apply/Slope/Y-intercept
The learner will be able to apply the slope and y-intercept of a line.
Strand Bloom's Scope Source
Graphing Application Master IN: Academic Standards, 2000, Algebra I, Standard 4
  

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