Warwick School District

Course Description

This is the second half of our Algebra 1 curriculum. Students will begin with a brief review of basic algebraic skills, then continue with linear functions. Units of study will include inequalities, systems of equations, polynomial functions, exponential functions, and rational expressions.

Core Curriculum Content Standards

PA Common Core: Mathematics (2013)

• Numbers and Operations

• GRADE 7

• Analyze proportional relationships and use them to model and solve real-world and mathematical problems.(2.1.7.D1)
• Apply and extend previous understandings of operations with fractions to operations with rational numbers.(2.1.7.E1)

• GRADE 8

• Distinguish between rational and irrational numbers using their properties.(2.1.8.E1)
• Estimate irrational numbers by comparing them to rational numbers.(2.1.8.E4)

• GRADE High School

• Apply and extend the properties of exponents to solve problems with rational exponents(2.1.HS.F1)
• Apply properties of rational and irrational numbers to solve real world or mathematical problems.(2.1.HS.F2)
• Apply quantitative reasoning to choose and Interpret units and scales in formulas, graphs and data displays.(2.1.HS.F3)

• Algebraic Concepts

• GRADE 7

• Apply properties of operations to generate equivalent expressions.(2.2.7.B1)
• Model and solve real-world and mathematical problems by using and connecting numerical, algebraic, and/or graphical representations.(2.2.7.B3)

• GRADE 8

• Apply concepts of radicals and integer exponents to generate equivalent expressions.(2.2.8.B1)
• Understand the connections between proportional relationships, lines, and linear equations.(2.2.8.B2)
• Analyze and solve linear equations and pairs of simultaneous linear equations.(2.2.8.B3)
• Define, evaluate, and compare functions.(2.2.8.C1)
• Use concepts of functions to model relationships between quantities.(2.2.8.C2)

• GRADE High School

• Use the concept and notation of functions to interpret and apply them in terms of their context.(2.2.HS.C1)
• Graph and analyze functions and use their properties to make connections between the different representations.(2.2.HS.C2)
• Write functions or sequences that model relationships between two quantities.(2.2.HS.C3)
• Construct and compare linear, quadratic and exponential models to solve problems.(2.2.HS.C5)
• Interpret functions in terms of the situation they model.(2.2.HS.C6)
• Write expressions in equivalent forms to solve problems.(2.2.HS.D2)
• Understand the relationship between zeros and factors of polynomials to make generalizations about functions and their graphs.(2.2.HS.D4)
• Use polynomial identities to solve problems.(2.2.HS.D5)
• Extend the knowledge of rational functions to rewrite in equivalent forms.(2.2.HS.D6)
• Create and graph equations or inequalities to describe numbers or relationships.(2.2.HS.D7)
• Use reasoning to solve equations and justify the solution method.(2.2.HS.D9)
• Represent, solve and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.(2.2.HS.D10)

• Geometry

• GRADE 8

• Understand and apply the Pythagorean Theorem to solve problems.(2.3.8.A3)

• GRADE High School

• Apply rigid transformations to determine and explain congruence.(2.3.HS.A2)

• Measurement, Data and Probability

• GRADE High School

• Summarize, represent, and interpret data on two categorical and quantitative variables.(2.4.HS.B2)
• Analyze linear models to make interpretations based on the data.(2.4.HS.B3)

PA Common Core Standards for Mathematical Practice

• Mathematical Practices

• Grade 9-12

• Make sense of problems and persevere in solving them. (9-12.1)
• Reason abstractly and quantitatively.(9-12.2)
• Model with mathematics. (9-12.4)
• Use appropriate tools strategically. (9-12.5)
• Attend to precision.(9-12.6)

Units

Unit #1 - Reviewing your skills

Unit #2 - Linear equations and their graphs

Unit #3 - Other forms of linear equations

Unit #4 - Systems of equations

Unit #5 - Linear inequalities and systems

Unit #6 - Exponents and exponential functions

Unit #7 - Radical Expressions and Equations

Unit #8 - Polynomials and Factoring

Unit #9 - Rational expressions

Unit #10 - Quadratic equations and functions