Course Standards

The following is a comprehensive list of the topics that are covered in Algebra 1.  These are listed under the Major Topic Information page as well.

Graphs and Data

1. Histograms

   • I can create and read histograms for any given set of data.

2. Measures of Center

   • I am able to accurately calculate the mean and median of any given set of data (including use of frequency tables).  I can then determine which would be better to use for a situation.

3. Measures of Spread

   • I am able to accurately calculate the range and interquartile range (IQR) of any given set of data.  I can then determine which would be better to use for a situation.

4. Box Plots

   • I am able to create and read box plots for any given set of data (including stacked box plots).  I can modify a box plot if any outliers exist.

5. Finding Outliers

   • I am able to correctly identify outliers in any given set of data.

6. Data Transformations

   • I am able to determine how measures of center and spread will change if all data points in a set moved by the same amount (using multiplication, division, addition, and subtraction).

Vertex-Edge Graphs

1. Euler Circuits and Paths

   • I am able to determine if an Euler Circuit or Path exists.  If one exists, I can find it in a given graph.

2. Vertex-Edge Conflict Resolution (Graph Coloring)

   • I am able to use vertex-edge graph coloring to resolve conflicts.

Linear Equations

1. 1. Creating Linear Equations

      • I am able to use 2 points, a slope and a point, a table, a graph, or a description to create a linear equation in Slope-Intercept Form (y = mx + b).

   2. Solving Linear Equations/Inequalities

      • I am able to solve multi-step linear equations and inequalities involving 1 variable (including use of the distributive property).

   3. Systems of Equations

      • I am able to algebraically find the intersection point of a pair of linear equations using the Substitution and Elimination methods.

   4. Linear Regression

      • I am able to create a linear regression equation using technology.  I can use that equation to make predictions and use the correlation value to determine how well it fits.

Exponential Equations

1. Creating Exponential Equations

   • I am able to express written descriptions algebraically as an exponential equation.

2. Solving Exponential Equations

   • I am able to solve exponential equations involving 1 variable analytically.

3. Exponent Rules

   • I can simplify exponential expressions using properties of exponent rules discussed in class (including multiplication, division, power, and negative expressions).

4. Simplifying Radicals

   • I am able to simplify radical expressions (square roots only) using the properties of exponent rules (including variable expressions).

Quadratic Equations

1. Quadratic Transformations

   • I am able to accurately describe the y-intercept, width, and direction of a parabola (in relation to its parent graph) given a quadratic equation in standard or vertex form.

2. Solving Quadratic Equations

   • I am able to find all real roots of a quadratic equation using Quadrus (Square Root) Method, Factoring, and the Quadratic Formula.

Probability

1. Basic Probability

   • I am able to find the probability of a given event occurring (including use of Multiplication Rule).

2. Geometric Probability

   • I am able to find the probability of a situation using geometric properties (including area and perimeter).

3. Probability Simulations

   • I am able to design and implement simulations for basic scenarios (where I know the likelihood) using appropriate tools (including dice, coins, and random numbers).