Warwick School District

Curriculum❯Algebra 1

Algebra 1

Grade Levels: 07 | 08 |

Course Description

This is a one year Algebra I course. Emphasis is placed on the fundamental ideas of equalities and inequalities, solving of equations with one or two variables, expanding and factoring polynomials, and graphing and evaluation of linear equations.  The course stresses applications of these concepts with problem solving. Good reasoning and arithmetic concepts are emphasized. 

Core Curriculum Content Standards

Keystone Algebra I (2012)

  • Operations and Linear Equations & Inequalities

    • Operations with Real Numbers and Expressions

      • Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots, and exponents).(A1.1.1.1)
        • Compare and/or order any real numbers (rational and irrational may be mixed).(A1.1.1.1.1)
        • Simplify square roots (e.g., √24 = 2√6).(A1.1.1.1.2)
      • Apply number theory concepts to show relationships between real numbers in problem solving settings.(A1.1.1.2)
        • Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.(A1.1.1.2.1)
      • Use exponents, roots and/or absolute value to solve problems.(A1.1.1.3)
        • Simplify/evaluate expressions involving properties/laws of exponents, roots and/or absolute value to solve problems (exponents should be integers from -10 to 10).(A1.1.1.3.1)
      • Use estimation strategies in problem-solving situations.(A1.1.1.4)
        • Use estimation to solve problems.(A1.1.1.4.1)
      • Simplify expressions involving polynomials.(A1.1.1.5)
        • Add, subtract and/or multiply polynomial expressions (express answers in simplest form – nothing larger than a binomial multiplied by a trinomial).(A1.1.1.5.1)
        • Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is equal to 1 after factoring out all monomial factors).(A1.1.1.5.2)
        • Simplify/reduce a rational algebraic expression.(A1.1.1.5.3)

    • Linear Equations

      • Write, solve and/or graph linear equations and inequalities using various methods.(A1.1.2.1)
        • Write, solve and/or apply a linear equation (including problem situations).(A1.1.2.1.1)
        • Use and/or identify an algebraic property to justify any step in an equation solving process (linear equations only).(A1.1.2.1.2)
        • Interpret solutions to problems in the context of the problem situation (linear equations only).(A1.1.2.1.3)
      • Write, solve and/or graph systems of linear equations using various methods.(A1.1.2.2)
        • Write and/or solve a system of linear equations (including problem situations) using graphing, substitution and/or elimination (limit systems to 2 linear equations).(A1.1.2.2.1)
        • Interpret solutions to problems in the context of the problem situation (systems of 2 linear equations only).(A1.1.2.2.2)

    • Linear Inequalities

      • Write, solve and/or graph linear inequalities using various methods.(A1.1.3.1)
        • Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).(A1.1.3.1.1)
        • Identify or graph the solution set to a linear inequality on a number line.(A1.1.3.1.2)
        • Interpret solutions to problems in the context of the problem situation (limit to linear inequalities).(A1.1.3.1.3)

  • Linear Functions and Data Organizations

    • Functions

      • Analyze and/or use patterns or relations.(A1.2.1.1)
        • Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.(A1.2.1.1.1)
        • Determine if a relation is a function given a set of points or a graph.(A1.2.1.1.2)
        • Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).(A1.2.1.1.3)
      • Interpret and/or use linear functions and their equations, graphs or tables.(A1.2.1.2)
        • Create, interpret and/or use the equation, graph or table of a linear function.(A1.2.1.2.1)
        • Translate from one representation of a linear function to another (graph, table and equation).(A1.2.1.2.2)

    • Data Analysis

      • Use data displays in problem solving settings and/or to make predictions.(A1.2.3.2)
        • Analyze data, make predictions, and/or answer questions based on displayed data (box-and-whisker plots, stem-and-leaf plots, scatter plots, measures of central tendency, or other representations).(A1.2.3.2.2)
      • Apply probability to practical situations.(A1.2.3.3)
        • Find probabilities for compound events (e.g., find probability of red and blue, find probability of red or blue) and represent as a fraction, decimal or percent).(A1.2.3.3.1)

Units

Unit #1 - Variables, Expressions and Patterns

Unit #2 - Graphs and Statistics

Unit #3 - Real Numbers and Probability

Unit #4 - Solving and Applying Equations

Unit #5 - Solving and Applying Inequalities

Unit #6 - Functions and Variations

Unit #7 - Linear Equations and Their Graphs

Unit #8 - Systems of Equations and Inequalities

Unit #9 - Exponents

Unit #10 - Polynomials and Factoring

Unit #11 - Quadratic Equations and Functions

Course Resources

Prentice Hall Mathematics Algebra 1 (Pennsylvania) textbook
Infinite Algebra software
Delta Math software
Teacher created documents
TI-84 plus graphing calculator