Honors Algebra I

Topic 8 - Solving Quadratic Equations

(Starting Wednesday, April 24)

Topic 8 focuses on extending knowledge of quadratic functions. Students learn to solve quadratic equations using tables, graphs, and factoring. Students also solve quadratic equations using square roots, completing the square, and the quadratic formula. Students learn different methods such as graphing, elimination, and substitution for solving linear equation systems.

Solving Quadratic Equations

• Using Tables, Graphs, and Factoring
• Using Square Roots
• Using Completing the Square
• Using the Quadratic Formula

Solving Linear-Quadratic Systems

• Solving Systems of Equations by Graphing
• Solving Systems of Equations by Substitution
• Solving Systems of Equations by Elimination

Topic 7 - Quadratic Functions

(starting Friday, March 1, 2019)

This unit focuses on extending students' previous understanding of functions to include quadratic functions: graphing them, using them to model real world situations, and comparing them to linear and exponential functions.

Graphing Quadratic Functions

• Key features of a Quadratic Function
• Different forms of Quadratic Functions

Quadratic Functions as Models

• Modeling with Quadratic Functions
• Comparing Linear, Exponential, and Quadratic Functions

Topic 6 - Polynomials and Factoring

(starting Friday, January 25, 2019)

This unit focuses on extending polynomials. Students will identify the parts and factors of polynomials. They will understand how to factor trinomials using the greatest common factor, binomial factors, and special patterns. They will learn how to add, subtract, and multiply polynomials.

Operations of Polynomials

• Add and Subtract Polynomials
• Multiply Polynomials
• Product of Binomials

Factoring Polynomials

• Greatest Common Factor
• Quadratic Trinomials (a=1)
• Quadratic Trinomials (a<>1)
• Special Cases

Topic 5 - Exponents and Exponential Functions

(Starting January 7, 2019)

This unit focuses on extending knowledge of functions to include the exponential function. Students will learn to write, graph, and transform exponential functions. Students will also use exponential functions to model real-world situations and to make predictions.

Understanding Exponential Functions

• Exponential Functions
• Geometric Sequences

Modeling with Exponential Functions

• Growth and Decay Curves
• Transforming Exponential Functions

Topic 4 - Systems of Linear Equations and Inequalities

(Starting November 26)

For our final topic of the calendar year we are going to explore systems of linear equations and inequalities and see how they can be used to model situations and solve problems. Students will learn methods to solve systems and will be able to identify when each solution method is most useful.

Systems of Linear Equations

• Graphing
• Substitution
• Elimination

Systems of Linear Inequalities

• Linear Inequalities
• Systems of Linear Inequalities

Mini-Unit - SSAT Exponents and Properties of Geometry

(Starting Wednesday, November 14)

Over the next two weeks we're going to take some classes to look at a topic that is covered later in the school year in more depth, but is likely to appear on the SSAT test in December. This week we'll be looking at properties of exponents and different rules for simplifying exponential expressions. Next week, because of Thanksgiving, we have only one class so we'll look at various properties of geometry and geometric equations with which the students should be familiar for the SSAT

Topic 3 - Linear Functions

(Starting, Monday, October 22)

This unit focuses on extending students' understanding of linear equations to linear functions. Students will learn methods to write, graph, and transform linear functions. They will also apply analytical methods to data that have linear relationships.

Understanding Linear Functions

• Relations and Functions
• Linear Functions
• Transforming Linear Functions

Applying Linear Functions

• Arithmetic Sequences
• Scatterplots and Lines of Fit
• Analyzing Lines of Fit

Topic 2 - Linear Equations

(Starting Monday, September 17)

This unit focuses on extending students' understanding of linear equations. Students analyze descriptions of lines and write their equations in different forms.

Different Forms of Linear Equations

• Slope-Intercept Form
• Point-Slope Form
• Standard Form

Special Slopes

• Parallel and Perpendicular Lines
• Add and subtract rational numbers
• Multiply and divide rational numbers

Topic 1 - Solving Equations and Inequalities

Completed at the end of Grade 7