Mr. Vizza's Class

Lessons for Algebra Two

The following lessons are all designed for the SMART Board in conjunction with the text, Algebra Two published by Holt, Rinehart and Winston copyright 2001.
Chapter 1 2 3 4 5 6 7 8 9 10 11

Lesson - Chapter Topic
Support Worksheets/Materials
Lesson 0 - Policies & Pre-Assessment
  1. The students will review classroom policies & procedures.
  2. The students will complete the pre-assessment.
 
  1. The students will identify linear relationships when given an equation.
  2. The students will graph linear equations by evaluating three values for x.
  3. The students will determine if a given data table represents a linear relationship.
  4. The student will predict data points for linear relationships given in table form.
 
 
  1. The students will write equations of lines in slope-intercept form.
  2. The students will compute the slope of a line when given two points.
  3. The students will write equations of a line when given its graph.
 
 
  1. The students will comprehend intercepts.
  2. The students will graph equations of lines using intercepts.
  3. The students will put equations of lines into slope-intercept form.
  4. The students will graph equations of lines in slope intercept form.

Intercepts Discovery
(Sketchpad Document)

Worksheet - Pre-Assessment for Point Slope Formula

 
  1. The students will state the slope of lines expressed with one variable equation.
  2. The students will graph equations of lines in one variable.
  3. The students will practice previously learned skills on lines. (Linear Relationships Worksheet)
  4. The students will start the y=mx+b concept map.

Worksheet - Linear Relationships
(Word Document)

Graphing Lines
(Smart Ideas Concept Map)

 

 
  1. The students will write the equation of a line in slope-intercept form when given a point and a slope.
  2. The students will write the equation of a line in slope-intercept form when given two points.
Equation of Line Given Two Points
(Geometer's Sketchpad Aid)
 

1. The students will engage in a differentiated instruction activity where they (or I) can pick from:

A. a worksheet of word problems (Zagnut) and a worksheet of distributions with fractions.

B. a worksheet of word problems (Zagnut) and a worksheet of getting equations into y=mx+b form

C. a worksheet of distribution with fractions and a worksheet of getting equations into y=mx+b form

2. The students will work on the concept map for Graphing Lines.

Worksheet - Linear Relationships with Zagnut
(Word Document)

Worksheet - Distribution with Fractions
(Word Document)

Worksheet - Getting Slope Intercept Form
(Word Document)

 
  1. The students will write the equation of a line when given a point and a parallel line.
  2. The students will write the equation of a line when given a point and a perpendicular line.
 
  1. The students will review equations of lines in one variable.
  2. The students will review Zero Slope and Undefined Slope.
  3. The students will do a creativity activity where they will write equations that involve
    1. parallel and perpendicular lines
    2. lines with zero or undefined slope
  4. The students will take a formative assessment.

Lesson 9 - Quiz
 
 
  1. The students will find the constant of variation and write the equation of variation for a direct variation relationship.
  2. The students will solve problems when given a direct variation relationship.
  3. The students will sole for a variable in a proportion.
  4. The students will determine if a table of values indicates a relationship of direct variation.
Direct Variation Discovery (Geometer's Sketchpad)
 
  1. The students will comprehend correlation.
  2. The students will perform some simple experiments to generate data for positive, negative and no correlation scenarios.

 
  1. The students will compute a linear regression for a data set on the Ti-83 calculator.
 
  1. The students will solve equations on with one unknown.
  2. The students will solve literal equations.
 
 
  1. The students will review correlation.
  2. The students will comprehend the coefficient of correlation.
  3. The students will solve literal equations.

Worksheet-Cross Multiplication

Lesson 15- Quiz on Correlation, Direct Variation and Solving Equations
 
 
   
 
  1. The students will practice solving inequalities in one unknown.
  2. The students will compare and contrast different elements of solving inequalities using a Venn Diagram.
 
 
  1. The students will comprehend absolute value.
  2. The students will solve absolute value equations in one unknown.
  3. The students will solve absolute value inequalities in one unknown.

 

  1. The students will practice solving literal equations.
  2. The students will take a formative assessment for solving absolute value equations and inequalities.
 
  1. The student will take a formative assessment on the steps for solving an equation.
  2. The students will take an open note quiz on some of the topics in chapter one.
  3. The students will practice point slope formula.

Worksheet - Explaining Point Slope Formula
(Word Document)

Lesson 21 - Chapter Test
 
Chapter 2
 
 
  1. the students will clasify numbers by their subsets of the real numbers.
  2. The students will simplify expressions using PEMDAS.
  3. The students will idenitfy a demonstrated mathematical property.
 
 
  1. The students will comprehend the properties of exponents.
  2. The students will simplify variable expressions by applying the properties of exponents.
  3. The students will ignore negative exponents until the next lesson.
 
 
  1. The students will simplify expressions with negative and zero exponents.
  2. The students will simplify expressions with rational exponents.
  3. The students will no longer ignore negative exponents when simplifying expressions with exponents.

 

 

Lesson 4 - Properties of Exponents
The students will
Lesson 5 - Quiz on Properties of Exponents
 
 
  1. The students will comprehend function vocabulary.
  2. The students will determine if given sets of ordered pairs represent functions or relations.
  3. The students will determine the domain & range of given functions.
  4. The students will use the vertical line test to determine if a graph is a function or not.

 

 
  1. The students will read function notation appropriately.
  2. The students will perform single evaluation functions for given values of x.
  3. The students will sketch functions when given parameters for the domain and range.
 
 
  1. The students will compute the basic function
    algebras of:

(f+g)(x) (f-g)(x) (f*g)(x) (f/g)(x)

2. The students will perform function composition.


 
Lesson 9 - Function Algebra (follow-up)
 
   
Lesson 10
 
   

 
Lesson 10 - Function Algebra (follow-up)  

Worksheet - Function Algebra
(Word Document)

Lesson 11 - Pop Quiz

 
Lesson 12 - Function Exponent Quiz  
   
Lesson 13 - Function Inverses  
   
Lesson 14 - Function Inverses (follow-up)  
   
Lesson 15 - Graphing over a Given Domain (Intro to Piecewise Functions  
   
Lesson 16 - Piecewise Functions  
   
Lesson 17  
   
Lesson 18 - Piecewise Functions  
1.  
Lesson 19 - Review of Functions, Exponents and Piecewise Functions  
 

Worksheet - Piecewise Functions & Review of Chapter Two
(Word Document)

   
   
   
Chapter 5
 
 

1. The students will write quadratic functions in standard form.

2. The students will determine if a function is a quadratic function.

3. The students will determine if the graph of quadratic function
opens up or down.

4. The students will determine if the y-coordinate of the vertex of a function is a maximum or a minimum.


 

1. The students will simplify radicals with exact solutions and
estimations rounded to the hundredth.

2. The students will solve quadratic equations by extracting the root.

3. The students will find the missing side of a right triangle.


 
Lesson 3 - Solving Quadratic Equations by Extracting Roots (Day Two)
 
1. The students will practice solving quadratic equations by extracting roots.
 

1. The students will graph quadratic functions of the form y=ax2+bx+c using a an xy tree.

 

 


1. The students will comprehend basic factoring vocabulary.

2. The students will identify the GCF of a number of terms.

3. The students will factor an expresssion by removing its greatest common factor.

 

Lesson 6 & 7- Differences of Two Squares & Perfect Square Trinomials

 

1. The students will factor Differences of Two Squares.

2. The students will factor Perfect Square Trinomials.


Worksheet - Factoring Differences of Squares & Perfect Square Trinomials
(Word Document)


 

1. The students will factor quadratic trinomials of the form x2+bx+c.

2. The students will factor quadratic trinomials of the form ax2+bx+c.


Worksheet - Factoring Quadratic Trinomials
(Word Document)

Lesson 9 - Quiz on Basic Quadratics
 

1. The students will take a quiz on the following skills.

  • writing quadratics in standard form
  • simplifying radicals
  • solving quadratic equations by extracting the roots
  • squaring a binomial
  • graphing quadratic functions using an xy chart.
 
Lesson 10 - Practice on Factoring
 

1. The students will practice identifying different types of factoring.

2. The students will practice different types of factoring.


Lesson 11 - More Practice on Types of Factoring with Quiz

 

1. The students will practice indentifying the types of factoring.

2. The students will practice factoring expressions of varied types.

3. The students will take a quiz on the essential questions involved in identifying the types of factoring.


Lesson 12 - Quiz on All Factoring Types
 

1. The students will take a quiz on the following skills

  • factoring with GCF
  • factoring differences of 2 squares
  • factoring perfect square trinomials
  • factoring quadratic trinomials of the form x2+bx+c
  • factoring quadratic trinomials of the form ax2+bx+c
 
 
1. The students will solve quadratic equations using the zero-product property.
 
1. The students will convert from vertex to standard
form.
2. The students will find the vertex of a quadratic
function that is written in vertex form.
3. The students will find the vertex of a quadratic
function that is in standard form.
4. The students will graph quadratic functions in vertex
and standard form.
Lesson 15 - The Quadratic Formula
 
1. The students will solve

Worksheet-Pre-Assessment on Quadratic Formula
(Word Document)

Lesson 16 - Graphing with the Five Point Method
 
1. The students will solve  
Lesson 17 - Quiz on Quadratics
 

1. The students will take a quiz on the following skills.

  • understanding roots and zeros
  • solving by extracting roots
  • solving with the zero-product property
  • graphing quadratics with an xy tree
  • graphing quadratics with a transformation
  • graphing quadratics with the five-point method
 
Lesson 18 - Imaginary Numbers
 
  1. The students will comprehend complex numbers.
  2. The students will simplify radicals with negative radicands.
  3. The students will FOIL with radicals.
  4. The students will add and subtract complex numbers.
 
Lesson 19 - Imaginary Numbers
 
  1. The students will simplify higher powers of i.
  2. The students will simpify expressions with i in the dnominator.
 
Lesson 20 - Quiz on Imaginary Numbers
 
   
Chapter 6
 
Lesson 0 - Exploring Growth with Rulers
 
  1. The students will explore exponential growth with a hands on project.
 
  1. The students will evaluate expressions with variable exponents.
  2. The students will model a problem involving exponential growth by writing an exponential function.
  3. The student will model a problem involving exponential decay by writing an exponential function.

 

 
 
  1. The students will determine if a data table represents a linear, quadratic or exponential relationship.
  2. The students will use the compound interest formula to compute account balances after a given number of years.
 
Lesson 3 - Exponential Functions (Day Two)
  1. The students will use exponential functions to determine population growths and decay.
Lesson 4 - Exponential Functions (Day Three)
 
  1. The students will review problems involving exponential functions.
 
 
  1. The students will graph exponential functions with xy charts and by transformations.
  2. The students will write exponential equations in logarithmic form.
  3. The students will write logarithmic equations in exponential form.
  4. Students will find approximate values for log expressions.
 
   
   

 

 

 

©2004 Thomas Vizza