Mathematics Pacing Guide THREE

Algebra I

 
     
     
  

 

Teach 21 On-Line Unit Plans

 

WVCSO

 

Vocabulary

Graphing

Calculator

Activities

 

On-Line Resources

Unit 6: 

Radical and

Rational

Expressions

Lesson 1 – Finding Your Roots (Calculating Square Roots)

M.O.A1.2.5

M.O.A1.2.13

M.O.A1.2.15

M.O.A1.2.16

M.O.A1.2.21

 

 

square root

positive square roots

negative square  

     roots

radicand

perfect square

 

Teach 21 On-Line Algebra I Unit Plan Six

 

Unit Six Lesson One

Lesson 2 –

What’s a Quadratic?  (Solving Equations by Extracting Square Roots)

parabola

horizontal axis

vertical axis

intercepts

pi

volume

 

Unit Six Lesson Two

Lesson 3 –

The Radical Side of Pythagoras (Developing and Applying the Pythagorean Theorem)

legs

hypotenuse

Pythagorean    

     Theorem

square

 

Unit Six Lesson Three

Lesson 4 –

How Far Is It?  (Calculating Distance)

distance formula

 

Unit Six Lesson Four

Lesson 5 –

Getting to the Root of the Problem Part I

(Operations on Radicals)

spiral

equivalent

irrational numbers

factor

cube root

 

Unit Six Lesson Five

Lesson 6 –

Getting to the Root of the Problem Part II

(Operations with Radicals)

rad gear

distributive property

 

Unit Six Lesson Six

Lesson 7 –

Rational Expressions- Swimming Pool Investigation

rational expression

domain

excluded values

restricting the

      domain

 

Unit Six Lesson Seven

 

Lesson 8 –

Rational

Expressions-

Swimming Pool

Exploration

rational expression

domain

excluded values

restricting the

      domain

 

Unit Six Lesson Eight


 

Lesson 9 –

Rational Expressions – Restrictions for the Domain

 

undefined

grouping symbols

parentheses

sum

difference

product

quotient

dividend

divisor

least common   

  denominator (LCD)

multiple

factor

 

Unit Six Lesson Nine

Lesson 10 –

Rational Expressions –

Multiplying and Dividing

 

undefined

grouping symbols

parentheses

sum

difference

product

quotient

dividend

divisor

least common   

  denominator (LCD)

multiple

factor

 

Unit Six Lesson Ten

Lesson 11 –

Rational Expressions –

Adding and Subtracting

undefined

grouping symbols

parentheses

sum

difference

product

quotient

dividend

divisor

least common   

  denominator (LCD)

multiple

factor

 

Unit Six Lesson Eleven

Lesson 12 –

Summative Assessment – Rational Expressions –

Swimming Pool Design Project

undefined

grouping symbols

parentheses

sum

difference

product

quotient

dividend

divisor

least common   

  denominator (LCD)

multiple

factor

 

Unit Six Lesson Twelve

Unit 7:  What if the Line Doesn’t Fit?  Quadratic and Exponential Functions

Lesson 1 –

Quadratic and Exponential Functions

M.O.A1.2.4

M.O.A1.2.14

M.O.A1.2.15

exponential function

 

Teach 21 On-Line Algebra I Unit Plan Seven

 

Unit Seven Lesson One

Lesson 2 –

Quadratic and Exponential Functions

exponential function

 

Unit Seven Lesson Two

Lesson 3 –

Quadratic and Exponential Functions

law of exponents

conjecture

 

Unit Seven Lesson Three


 

Lesson 4 –

Quadratic and Exponential Functions

 

exponential decay

 

Unit Seven Lesson Four

Lesson 5 –

Quadratic and Exponential Functions

exponential decay

 

Unit Seven Lesson Five

Lesson 6 –

Quadratic and Exponential Functions

exponential growth

 

Unit Seven Lesson Six

Lesson 7 –

Quadratic and Exponential Functions

parabola

quadratic function

vertex

translation

reflection

open up/ down

vertical 

     stretch/compression

transformation

axis of symmetry

 

Unit Seven Lesson Seven

Lesson 8 –

Quadratic and Exponential Functions

parabola

quadratic function

line of symmetry

roots or zeros

vertex

 

Unit Seven Lesson Eight

Lesson 9 –

Quadratic and Exponential Functions

radius of a circle

area of a circle

rational number

irrational number

pi

line of best fit

 

Unit Seven Lesson Nine

Lesson 10 –

Quadratic and Exponential Functions

quadratic equation

     for projectile

     motion

quadratic formula

 

Unit Seven Lesson Ten

Lesson 11-

Quadratic and Exponential Functions

factored form

standard form

vertex form

axis of symmetry

vertex

roots

 

Unit Seven Lesson Eleven