Author: Sanford Geraci, Broward College

Algebra I : Polynomials and Quadratics (Blocks 31 - 33)

Block 31-33 Algebra 1: Polynomials & Quadratics

Objectives:

MA.912.A.4.1 Simplify monomials and monomial expressions using the laws of integral exponents.
MA.912.A.4.2 Add, subtract, and multiply polynomials.
MA.912.A.4.3 Factor polynomial expressions.
MA.912.A.4.4 Divide polynomials by monomials and polynomials with various techniques, including synthetic division.
MA.912.A.7.1 Graph quadratic equations with and without graphing technology.
MA.912.A.7.2 Solve quadratic equations over the real numbers by factoring and by using the quadratic formula.
MA.912.A.7.6 Identify the axis of symmetry, vertex, domain, range and intercept(s) for a given parabola.
MA.912.A.7.8 Use quadratic equations to solve real-world problems.
MA.912.A.7.10 Use graphing technology to find approximate solutions of quadratic equations.


Trainer Notes (Blocks 31 - 33):




Block 31-33 Pre-Test



Block 31
MA.912.A.4.1, 4.2, 4.3, 4.4, 7.1, 7.2, 7.6, 7.8, 7.10

MA.912.A.4.1- Simplify monomials and monomial expressions using the laws of integral exponents.
Monomial Expressions and Operations on Polynomials
Monomial Expressions

Trainer Materials
Teacher Participant Materials
Additional Materials




Block 32
MA.912.A.4.2 Add, subtract, and multiply polynomials
MA.912.A.4.4 Divide polynomials by monomials and polynomials with various techniques, including synthetic division.

Operations on Polynomials

Trainer Materials
Teacher Participant Materials
Additional Materials




Block 33
MA.912.A.4.3 Factor polynomial expressions.
Factoring Polynomials
Trainer Materials
Teacher Participant Materials
Additional Materials




















MA.912.A.7.1 Graph quadratic equations with and without graphing technology.
MA.912.A.7.2 Solve quadratic equations over the real numbers by factoring and by using the quadratic formula.

MA.912.A.7.6 Identify the axis of symmetry, vertex, domain, range and intercept(s) for a given parabola.
MA.912.A.7.8 Use quadratic equations to solve real-world problems.





Graphing Quadratic Equations
Lesson/lecture notes (Graphing Quadratic Equations) -


Worksheet (Graphing Parabolas) -

Geogebra presentations and exercises related to transformations of parabolas



Vertex Form Presentation 1 (Mandatory) -
Vertex Form Presentation 2 (Mandatory) -

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Standard Form (Optional) -
Factored Form (Optional) -

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MA.912.A.7.10 Use graphing technology to find approximate solutions of quadratic equations.

Lesson Plans: (See above file that refers to these files below ( Lesson_plan_31_33.pdf)



Worksheet (Using Graphing Technology to approximate Solutions to Quadratic Equations):

Lecture Notes (Using newton's Method to approximate Zeros of differentiable functions):


Block 31-33 Post-Tests:



Accomplished Practices, Math Competencies and PD Protocol Standards for this Module