Adv Algebra - Review of Topics Thus Far

Week of: 3/25

*for additional curriculum information, please visit the district's resource High School Pacing Guides  or Georgia Standards

Course Name:Advanced Algebra

Monday

AA.FGR.4.3 Analyze and graph radical functions. AA.FGR.5.2 Define complex numbers i such that i 2 = –1 and show that every complex number has the form a + bi where a and b are real numbers and that the complex conjugate is a - bi.

LT: 

• I can simplify a radical expression

• I can simplify powers of i

 SC:

• I know that any number that can be rewritten as a product of 2 like factors is a perfect square number

• I can rewrite a number as a product of the largest perfect square factor and another factor

• I know that any number that can be rewritten as a product of 3 like factors is a perfect cube number

• I can rewrite a number as a product of the largest perfect cube factor and another factor

• I can simplify powers of i using the fact that i2 = -1

Lesson/Activity: 

Engage:  

 Explore: Review complex numbers and complex

 Apply: DeltaMath

 Reflect: 

Resources: DeltaMath

AA.FGR.3.3 Use the definition of a logarithm, logarithmic properties, and the inverse relationship between exponential and logarithmic functions to solve problems in context.

LT: 

• I can convert between exponential and logarithmic expressions

 SC:

• I can rewrite an exponential expression as a logarithm

• I can rewrite a logarithmic expression as an exponential expression

Lesson/Activity: 

Engage:  Review graphs of quadratic functions

 Explore: Guided notes on converting between forms

 Apply: Worksheet on converting forms

 Reflect: 

Resources: Worksheet, Guided notes

Tuesday

AA.FGR.4.2 Solve radical equations in one variable and give examples showing how extraneous solutions may arise

AA.FGR.4.1: Rewrite radical expressions as expressions with rational exponents. Extend the properties of integer exponents to rational exponents.

AA.FGR.4.3: Analyze and graph radical functions

LT: 

• I can solve equations that include radicals

• I can graph radical equations

• I can use rational exponents for radical expressions

 SC:

• I can isolate a radical

• I can use powers as inverses of radicals

• I can solve a quadratic equation

• I can check my solutions

• I can graph a radical equation

• I can determine domain

• I can determine range

• I can write radical expressions using rational exponents

Lesson/Activity: 

Engage: Review topics from Week 11 Review

Explore: 

Apply: Week 11 Review

Reflect: Week 11 Review

Resources: Week 11 Review

Wednesday

Students Compete Review Activity focused on Quadratic Formula

Thursday

Students Complete Review activity focused on logarithms and exponentials

Friday

Students Complete Review activity focused on radical equations