Course Description
Algebra 1a covers the first half of Algebra I content. The goal is to prepare students to move on to Algebra 1b and prepare for the Keystone Exam.
Core Curriculum Content Standards
PA Common Core: Mathematics (2013)
Numbers and Operations
GRADE 5
- Extend an understanding of operations with whole numbers to perform operations including decimals.(2.1.5.B2)
- Use the understanding of equivalency to add and subtract fractions.(2.1.5.C1)
- Apply and extend previous understandings of multiplication and division to multiply and divide fractions.(2.1.5.C2)
GRADE 6
- Understand ratio concepts and use ratio reasoning to solve problems.(2.1.6.D1)
- Apply and extend previous understandings of numbers to the system of rational numbers.(2.1.6.E4)
GRADE 8
- Distinguish between rational and irrational numbers using their properties.(2.1.8.E1)
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)
Algebraic Concepts
GRADE 4
- Represent and solve problems involving the four operations.(2.2.4.A1)
- Generate and analyze patterns using one rule.(2.2.4.A4)
GRADE 5
- Interpret and evaluate numerical expressions using order of operations.(2.2.5.A1)
- Analyze patterns and relationships using two rules.(2.2.5.A4)
GRADE 6
- Apply and extend previous understandings of arithmetic to algebraic expressions.(2.2.6.B1)
- Understand the process of solving a one-variable equation or inequality and apply to real-world and mathematical problems.(2.2.6.B2)
GRADE 7
- Model and solve real-world and mathematical problems by using and connecting numerical, algebraic, and/or graphical representations.(2.2.7.B3)
GRADE 8
- Understand the connections between proportional relationships, lines, and linear equations.(2.2.8.B2)
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)
- Interpret the structure of expressions to represent a quantity in terms of its context.(2.2.HS.D1)
- Write expressions in equivalent forms to solve problems.(2.2.HS.D2)
- Create and graph equations or inequalities to describe numbers or relationships.(2.2.HS.D7)
- Apply inverse operations to solve equations or formulas for a given variable.(2.2.HS.D8)
- 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 congruence and similarity using various tools.(2.3.8.A2)
- Understand and apply the Pythagorean Theorem to solve problems.(2.3.8.A3)
Measurement, Data and Probability
GRADE 8
- Analyze and/or interpret bivariate data displayed in multiple representations.(2.4.8.B1)
GRADE High School
- Summarize, represent, and interpret data on a single count or measurement variable.(2.4.HS.B1)
- Use the concepts of independence and conditional probability to interpret data.(2.4.HS.B6)
- Apply the rules of probability to compute probabilities of compound events in a uniform probability model.(2.4.HS.B7)
Units
Unit #1 - Numeric & Algebraic Expressions & Properties
Unit #2 - Solving Equations
Unit #3 - Ratios, Proportions, & Pythagorean Theorem
Unit #4 - Inequalities
Unit #5 - Domain & Range
Unit #6 - Slope & Linear Equations
Unit #7 - Odds & Probability
Unit #8 - Data
Course Resources
Prentice Hall Algebra I, Infinite Algebra 1, Desmos, Teacher Created Material
