Algebra I Honors Syllabus

Week

Lesson Focus

Weekly Objectives

TN Standards

Assessments

 

1

 

 

 

 

 

 

 

 

Intro to Quadratic Functions

 

  • Identify Quadratic Functions and determine characteristics of quadratic functions
  • Essential vocabulary (axis of symmetry, completing the square, discriminant, maximum, minimum, parabola, quadratic equation, quadratic formula, solutions, transformation, vertex, zeros

A1.F.IF.C.6

 

2

Solving quadratics by graphing

  • Identify parent functions as f(x)=x2
  • Identify the transformations of a quadratic function when compared to the parent function
  • Identify key features of a quadratic functions by hand and using technology
  • Graphing f(x)=ax2 when a>0
  • Graphing f(x)=ax2 when a<0

A1.F.IF.C.6

  • Calculator Usage Practice Assessment
  • All about Quadratics Quiz #1

3

Solving Quadratics by Factoring

  • Identify standard form ax2 + bx + c
  • Determine quadratic roots/zeros
  • Use the zeros to sketch a quadratic function

A1.A.APR.B.2

  • CFA #1

4

Solving Quadratics by Completing the Square

  • Transform a quadratic equation written in standard form to an equation in vertex form by completing the square

A1.A.REI.B.3

A1.A.SSE.B.3

A1.F.IF.C.7

  • Test #1

5

Solve quadratic equations by using the quadratic formula

  • Derive the quadratic formula by completing the square on the standard form of a quadratic equation
  • Recognize that a quadratic will have non-real solutions when there is a negative under the radical
  • Recognize the quadratic formula produces all complex solutions
  • Compute the discriminants and interpret the results as having no real solutions, 1 real solution, or 2 real solutions

A1.A.REI.B.3

 

  • Quiz #2

6

Create functions from Real-World Problems

  • Calculate features of quadratic functions using projectile motion problems
  • Determine if a function is linear or quadratic from real world problems

 

A1.A.REI.B.3

A1.A.SSE.B.3

  • CFA #2

7

Function Notation

  • Write an expression in function notation
  • Identify domain and range
  • Describe a situation that matches a graph based on its shape

A1.F.LE.A.2

A1.F.IF.B.4

  • Quiz #3

8

Exponential Functions

  • Define an exponential function as f(x)=abx
  • Graph exponential functions
  • Calculate Exponential Growth and Exponential Decay

A1.F.LE.A.1

 

  • CFA #3

9

Graphing functions with technology

  • Transform a variety of functions including linear, quadratic, and absolute value

A1.F.BF.B.2

  • Test #2