Adv Algebra - Radicals, Quadratics and Exponents Week 2

What
Adv Algebra - Radicals, Quadratics and Exponents Week 2
When
9/6/2024

Week of: 9/2

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

Course Name:Advanced Algebra

Monday

Labor Day 

Tuesday

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. AA.FGR.5.3 Use the relation i 2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.


LT:

  • I can perform operations on complex numbers

 SC:

  • I can identify the real part and the imaginary part of a complex number

  • I can combine real parts and combine imaginary parts to add or subtract complex numbers

  • I can use the distributive property to simplify complex numbers multiplied by either a pure real or a pure imaginary number

  • I can multiply 2 complex numbers

  • I can use the conjugate to divide complex numbers

Lesson/Activity

 Engage: Review distributive property

 Explore: Guided notes on complex number operations

 Apply: Students complete embedded questions in guided notes

 Reflect: Whiteboard TOTD

Resources: TI-84, Guided notes

Wednesday

AA.FGR.5.5 Write and solve quadratic equations and inequalities with real coefficients and use the solution to explain a contextual situation

LT: 

  • I can solve a quadratic equation

 SC:

  • I can use the quadratic formula to find all root of a quadratic equation, both real and complex

Lesson/Activity: 

Engage:  Projectile Motion Video

 Explore: Guided notes on using quadratic formula to solve equations

 Apply: Students complete embedded questions in guided notes and additional worksheet

 Reflect: Check 2-3 problems as a TOTD

Resources: Worksheet, TI-84


Thursday

AA.FGR.5.5 Write and solve quadratic equations and inequalities with real coefficients and use the solution to explain a contextual situation

LT: 

  • I can solve a quadratic equation

 SC:

  • I can use the quadratic formula to find all roots of a quadratic equation, both real and complex

Lesson/Activity: 

Engage:  Projectile Motion Video

 Explore: Guided notes on using quadratic formula to solve equations

 Apply: Students complete embedded questions in guided notes and additional worksheet

  Reflect: Complex root bingo

Resources: Complex root bingo, Worksheet, Week 4 Review, TI-84

Friday


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. AA.FGR.5.3 Use the relation i 2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. AA.FGR.5.5 Write and solve quadratic equations and inequalities with real coefficients and use the solution to explain a contextual situation

LT: 

  • I can solve Quadratic Equations

  • I can perform operations on complex numbers

 SC:

  • I can use the quadratic formula

  • I can add complex numbers

  • I can subtract complex numbers

  • I can simplify complex powers

Lesson/Activity: 

Engage:  

 Explore: 

 Apply: Students complete Week 5 Review

 Reflect: Go over missed questions from Week 5 Review at start of class Monday

Resources: Week 5 Review, TI-84

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