Algebra I Breakdown by Standard

A1.1 Operations and Linear Equations & Inequalities

A1.1.1 Operations with Real Numbers and Expressions
- A1.1.1.1 Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots, and exponents).
  - A1.1.1.1.1 Compare and/or order any real numbers.
    - Compare and order rational numbers (A1-A.1)
    - Compare numbers written in scientific notation (A1-W.2)
  - A1.1.1.1.2 Simplify square roots (e.g., square root of 24 = 2 square root of 6).
    - Square roots (A1-A.6)
    - Simplify radical expressions with variables (A1-EE.2)
- A1.1.1.2 Apply number theory concepts to show relationships between real numbers in problem-solving settings.
  - A1.1.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
- A1.1.1.3 Use exponents, roots, and/or absolute values to solve problems.
  - A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems.
- A1.1.1.4 Use estimation strategies in problem-solving situations.
  - A1.1.1.4.1 Use estimation to solve problems.
- A1.1.1.5 Simplify expressions involving polynomials.
  - A1.1.1.5.1 Add, subtract, and/or multiply polynomial expressions (express answers in simplest form).
  - A1.1.1.5.2 Factor algebraic expressions, including difference of squares and trinomials.
  - A1.1.1.5.3 Simplify/reduce a rational algebraic expression.
    - Simplify rational expressions (A1-GG.3)
    - Divide polynomials using long division (A1-GG.6)
A1.1.2 Linear Equations
- A1.1.2.1 Write, solve, and/or graph linear equations using various methods.
  - A1.1.2.1.1 Write, solve, and/or apply a linear equation (including problem situations).
  - A1.1.2.1.2 Use and/or identify an algebraic property to justify any step in an equation-solving process.
  - A1.1.2.1.3 Interpret solutions to problems in the context of the problem situation.
    - Solve linear equations: word problems (A1-J.10)
- A1.1.2.2 Write, solve, and/or graph systems of linear equations using various methods.
  - A1.1.2.2.1 Write and/or solve a system of linear equations (including problem situations) using graphing, substitution, and/or elimination.
  - A1.1.2.2.2 Interpret solutions to problems in the context of the problem situation.
A1.1.3 Linear Inequalities
- A1.1.3.1 Write, solve, and/or graph linear inequalities using various methods.
  - A1.1.3.1.1 Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).
  - A1.1.3.1.2 Identify or graph the solution set to a linear inequality on a number line.
  - A1.1.3.1.3 Interpret solutions to problems in the context of the problem situation.
    - Linear inequalities: word problems (A1-T.4)
- A1.1.3.2 Write, solve, and/or graph systems of linear inequalities using various methods.
  - A1.1.3.2.1 Write and/or solve a system of linear inequalities using graphing.
  - A1.1.3.2.2 Interpret solutions to problems in the context of the problem situation.

A1.2 Linear Functions and Data Organizations

A1.2.1 Functions
- A1.2.1.1 Analyze and/or use patterns or relations.
  - A1.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.
    - Slope-intercept form: write an equation from a table (A1-S.10)
    - Slope-intercept form: write an equation from a word problem (A1-S.11)
  - A1.2.1.1.2 Determine whether a relation is a function, given a set of points or a graph.
    - Identify functions (A1-Q.4)
    - Identify functions: vertical line test (A1-Q.5)
  - A1.2.1.1.3 Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).
    - Domain and range of relations (A1-Q.2)
- A1.2.1.2 Interpret and/or use linear functions and their equations, graphs, or tables.
  - A1.2.1.2.1 Create, interpret, and/or use the equation, graph, or table of a linear function.
  - A1.2.1.2.2 Translate from one representation of a linear function to another (i.e., graph, table, and equation).
A1.2.2 Coordinate Geometry
- A1.2.2.1 Describe, compute, and/or use the rate of change (slope) of a line.
  - A1.2.2.1.1 Identify, describe, and/or use constant rates of change.
  - A1.2.2.1.2 Apply the concept of linear rate of change (slope) to solve problems.
  - A1.2.2.1.3 Write or identify a linear equation when given
    - A1.2.2.1.3.a the graph of the line,
      - Slope-intercept form: write an equation from a graph (A1-S.8)
      - Point-slope form: write an equation from a graph (A1-S.24)
    - A1.2.2.1.3.b two points on the line, or
    - A1.2.2.1.3.c the slope and a point on the line.
      - Slope-intercept form: write an equation (A1-S.9)
      - Point-slope form: write an equation (A1-S.23)
  - A1.2.2.1.4 Determine the slope and/or y-intercept represented by a linear equation or graph.
- A1.2.2.2 Analyze and/or interpret data on a scatter plot.
  - A1.2.2.2.1 Draw, identify, find, and/or write an equation for a line of best fit for a scatter plot.
    - Scatter plots: line of best fit (A1-KK.12)
A1.2.3 Data Analysis
- A1.2.3.1 Use measures of dispersion to describe a set of data.
  - A1.2.3.1.1 Calculate and/or interpret the range, quartiles, and interquartile range of data.
    - Mean, median, mode, and range (A1-KK.2)
    - Quartiles (A1-KK.3)
- A1.2.3.2 Use data displays in problem-solving settings and/or to make predictions.
  - A1.2.3.2.1 Estimate or calculate to make predictions based on a circle, line, bar graph, measures of central tendency, or other representations.
  - A1.2.3.2.2 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).
  - A1.2.3.2.3 Make predictions using the equations or graphs of best-fit lines of scatter plots.
    - Interpret a scatter plot (A1-KK.8)
    - Scatter plots: line of best fit (A1-KK.12)
- A1.2.3.3 Apply probability to practical situations.
  - A1.2.3.3.1 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.

Report abuse