iAlgebra IA

COURSE OVERVIEW

iAlgebra IA focuses on the development of abstract thinking and reasoning of algebraic concepts. The course will emphasize skill development, practical applications and contain the major Algebra concepts students need to be successful in Algebra I. Students will utilize the Delta Math program as an additional learning resource. Areas of concentration include, but are not limited to the following: integer laws, linear equations, linear inequalities, graphs and functions, slope, graphing linear equations, graphing linear inequalities, systems of equations, and systems of inequalities.

• Compare and order any real numbers.

• Find the Greatest Common Factor (GCF) and the Least Common Multiple (LCM) for sets of monomials.

• Simplify expressions involving properties and laws of exponents, roots, and absolute values to solve problems.

• Evaluate expressions involving properties and laws of exponents, roots, and absolute values to solve problems.

• Use estimation to solve problems.

• Add, subtract, and multiply polynomial expressions and express answers in simplest form.

• Simplify a rational algebraic expression.

• Write, solve, and apply a linear equation including problem situations.

• Use an algebraic property to justify any step in an equation-solving process.

• Interpret solutions to problems in the context of the problem situation.

• Solve a system of linear equations (including problem situations) using graphing, substitution, and/or elimination.

• Interpret solutions to problems in the context of the problem situation.
• Write and solve a system of linear inequalities using graphing.

• Analyze a set of data for the existence of a pattern and represent the pattern algebraically and graphically.

• Determine whether a relation is a function given a set of points or a graph.

• Identify the domain or range of a relation.

• Create, interpret, and use the equation, graph, or table of a linear function.

• Translate from one representation of a linear function to another.

• Identify, describe, and use constant rates of change.

• Apply the concept of linear rate of change (slope) to solve problems.

• Determine the slope and y-intercept represented by a linear equation or graph.

Numbers and Operations

CC.2.1.8.E.1: Distinguish between rational and irrational numbers using their properties.

CC.2.1.8.E.4: Estimate irrational numbers by comparing them to rational numbers.

CC.2.1.HS.F.1: Apply and extend the properties of exponents to solve problems with rational exponents.

CC.2.1.HS.F.2: Apply properties of rational and irrational numbers to solve real-world or mathematical problems.

CC.2.1.HS.F.3: Apply quantitative reasoning to choose and interpret units and scales in formulas, graphs, and data displays.

CC.2.1.HS.F.4: Use units as a way to understand problems and to guide the solution of multi-step problems.

CC.2.1.HS.F.5: Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

Algebraic Concepts

CC.2.2.8.B.1: Apply concepts of radicals and integer exponents to generate equivalent expressions.

CC.2.2.8.B.2: Understand the connections between proportional relationships, lines, and linear equations.

CC.2.2.8.B.3: Analyze and solve linear equations and pairs of simultaneous linear equations.

CC.2.2.HS.C.1: Use the concept and notation of functions to interpret and apply them in terms of their context.

CC.2.2.HS.C.2: Graph and analyze functions and use their properties to make connections between the different representations.

CC.2.2.HS.C.3: Write functions or sequences that model relationships between two quantities.

CC.2.2.HS.C.4: Interpret the effects transformations have on functions and find the inverses of functions.

CC.2.2.HS.C.5: Construct and compare linear, quadratic, and exponential models to solve problems.

CC.2.2.HS.C.6: Interpret functions in terms of the situations they model.

CC.2.2.HS.D.1: Interpret the structure of expressions to represent a quantity in terms of its context.

CC.2.2.HS.D.2: Write expressions in equivalent forms to solve problems.

CC.2.2.HS.D.3: Extend the knowledge of arithmetic operations and apply to polynomials.

CC.2.2.HS.D.5: Use polynomial identities to solve problems.

CC.2.2.HS.D.6: Extend the knowledge of rational functions to rewrite in equivalent forms.

CC.2.2.HS.D.7: Create and graph equations or inequalities to describe numbers or relationships.

CC.2.2.HS.D.8: Apply inverse operations to solve equations or formulas for a given variable.

CC.2.2.HS.D.9: Use reasoning to solve equations and justify the solution method.

CC.2.2.HS.D.10: Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.

Measurement, Data, and Probability

CC.2.4.HS.B.1: Summarize, represent, and interpret data on a single count or measurement variable.

CC.2.4.HS.B.2: Summarize, represent, and interpret data on two categorical and quantitative variables.

CC.2.4.HS.B.3: Analyze linear models to make interpretations based on the data.

CC.2.4.HS.B.4: Recognize and evaluate random processes underlying statistical experiments.

CC.2.4.HS.B.5: Make inferences and justify conclusions based on sample surveys, experiments, and observational studies.

Unit:  Real Numbers and Equations

Lessons

• Real Numbers and Their Properties
• Evaluating Expressions
• Solving Equations

Unit:  Linear Equations

Lessons

• Slope and Rate of Change
• Graphing linear equations
• Linear Models

Unit:  Linear Inequalities

Lessons

• Solving linear inequalities
• Graphing linear inequalities
• Systems of linear inequalities

Unit:  Linear Systems

Lessons

• Solving a System by Graphing
• Solving a System by Substitution
• Solving a System by Elimination
• Applying Linear Systems