Download Lesson Plan Template - Trousdale County Schools

Trousdale County Schools Focused Lesson Plan 2015-16
Teacher: Humes
Unit Name: Quadratic Equations and Models
Unit #: 4
Unit Length: 5 weeks
Week: 11/9 – 11/12
Week 3 of 5
Subject: Core Math II
Tennessee State Standard(s) to be taught: (Write the entire standard)

N-Q.2 – Define appropriate quantities for the purpose of descriptive modeling.

N-CN.1 – Know there is a complex number i such that 𝑖 2 = −1, and ever complex number has the form 𝑎 + 𝑏𝑖 with 𝑎 and 𝑏
real.

N-CN.7 – Solve quadratic equations with real coefficients that have complex solutions.

A.SSE.2 – Use the structure of an expression to identify ways to rewrite it. For example, see x4 – y4 as (x2)2 - (y2)2, thus
recognizing it as a difference of squares that can be factored as (x2 – y2)(x2 + y2).

A-SSE.3 – Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity
represented by the expression. a. Factor a quadratic expression to reveal the zeros of the function it defines.

A-CED.1 – Create equations and inequalities in one variable and use them to solve problems. Include equations arising
from linear and quadratic functions, and simple rational and exponential functions.

A-REI.1 – Explain each step in solving a simple equation s following from the equality of numbers asserted at the previous
step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution
method.

A-REI.4 – Solve quadratic equations in one variable. b. Solve quadratic equations by inspection (e.g., for 𝑥 2 = 49), taking
square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation.
Recognize when the quadratic formula gives complex solutions and write them as 𝑎 ± 𝑏𝑖 for real numbers a and b.
I Can Statements :

I can factor quadratic expressions.

I can solve quadratic equations by factoring.

I can solve quadratic equations by taking square roots.

I can simplify radical expressions.

I can rationalize the denominator of a radical expression.

I can solve quadratic equations with imaginary solutions by taking square roots and applying the definition of the imaginary
unit.
Accommodations for students, both regular and special populations :

Extra practice time may be given using InteractMath technology online.

One-on-one and/or peer tutoring.

Re-take quizzes on which students perform poorly.
Unit Vocabulary: factor, zero-factor property, perfect-square trinomial, difference of squares, square root, product property of
radicals, quotient property of radicals, completing the square, quadratic formula, discriminant, real solutions, non-real solutions,
imaginary numbers, imaginary unit, complex number, pure imaginary unit, correlation, exponential function, exponential regression,
line of best fit, linear regression, quadratic regression
Daily Agenda
Resources, Technology, Formative and/or Summative
Assessments, Assignments, and a Daily Activity for citing
text based evidence in conversations and/or writing
1
Monday

Summary of Factoring Activity

Modeling with Quadratic Equations Problems

Quiz

MICA Practice
Resources: Integrate II Text, Quiz
Technology: MOBI, TI nSpires, MICA on student
computers
Assessment: observation/questioning during student
work, Quiz
Tuesday

Bell-ringer: Simplifying Radicals and Rationalizing
Denominators

Introduce Modeling Problem

Notes/Examples over Solving Quadratic Equations with
the Square Root Property

Solve Modeling Problems

Practice Problems (HW)
Wednesday

Go over/check HW

Notes/Examples over Imaginary Numbers

Modeling Problems

Practice Problems (HW)
Assignments:
Resources: Integrate II Text, Bell-ringer activity:
simplifying radicals
Technology: MOBI, TI nSpires
Assessment: observation/questioning during student
work
Assignments: Solving Equations by Taking Square
Roots HW
Resources: Integrate II Text
Technology: MOBI, TI nSpires
Assessment: observation/questioning during student
work, homework
Thursday

Go over/check HW

Prep Questions for Quiz

Quiz/MICA Practice

Notes/Examples over Complex Numbers
Assignments: Solving Equations by Taking Square
Roots (Imaginary Solutions) HW
Resources: Integrate II Text, Quiz
Technology: MOBI, TI nSpires, MICA on student
computers
Assessment: observation/questioning during student
work, Quiz
Assignments:
Friday

No School – Professional Development Day
2