Adv Algebra - Radicals, Quadratics and Exponents Week 1
- What
- Adv Algebra - Radicals, Quadratics and Exponents Week 1
- When
- 2/7/2025
Week of: 2/3 *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. 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 simplify a radical expression I can perform operations on polynomials 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 use i to simplify negative square roots Lesson/Activity: Engage: Review Thursday’s assignments Explore: Guided notes on simplify radicals and on complex numbers Apply: Students complete embedded questions in guided notes then complete worksheets on topic Reflect: TOTD on simplifying radicals Resources: Guided Notes, Worksheet, whiteboards 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 factor a quadratic expression SC: I can use factoring to simplify a quadratic expression when a is 1 Lesson/Activity: Engage: Diamond Math Explore: Guided notes on using factoring Apply: Students complete embedded questions in guided notes and additional worksheet Reflect: TOTD Resources: Worksheet, Week 4 Review, 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 factor a quadratic expression SC: I can use factoring to simplify a quadratic expression when a is not 1 Lesson/Activity: Engage: Review factoring when a is 1 Explore: Guided notes on using factoring when a is not 1 Apply: Students complete embedded questions in guided notes and additional worksheet Reflect: TOTD Resources: Worksheet, Week 4 Review, TI-84 Friday Week 5 Review (Factoring, Complex numbers, Simplifying Radicals)