Download Lesson Plan Template - Trousdale County Schools

Trousdale County Schools Focused Lesson Plan 2015-16
Teacher: Canaan Bowman
Unit Name: Quadratic Equations and Models
Unit #: 4
Unit Length: 5 weeks
Week: 11/16 – 11/23
Week 4 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.2 – Use the relation 𝑖 2 = −1 and the commutative, associative, and distributive properties to add, subtract, and
multiply complex numbers.

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-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 solve quadratic equations with real and imaginary solutions.

I can determine from a function’s graph the type and number of zeros.

I can graph a quadratic function.

I can operate on complex numbers.

I can solve application problems with complex numbers.

I can solve and model with quadratic equations.
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
Monday

Bell-ringer: Quadratic Equations (Various Methods) and
Solution Types/Graphing/Vertex Formula

Notes/Examples over Imaginary Numbers

Practice Problems (HW)
Resources, Technology, Formative and/or Summative
Assessments, Assignments, and a Daily Activity for citing
text based evidence in conversations and/or writing
Resources: Integrated II Text, Bell-ringer
Technology: TI nSpires, MOBI
Assessment: questioning/observation during student
work
Assignments: Imaginary Solutions to Quad. Equation
HW
1
Tuesday

Go over HW

Modeling Problems

Quiz – Quadratic Equations (Real and Imaginary
Solutions)

Go over MIST Practice Test
Resources: Integrated II Text, Modeling Problems,
Quiz
Technology: MOBI, TI nSpires
Assessment: homework, observation/questioning,
quiz
Wednesday

Bell-ringer: Modeling Problem (MICA-based)

Notes/Examples over Complex Numbers

Practice Problems (HW)
Assignments:
Resources: Integrated II Text, Bell-ringer
Technology: MOBI, TI nSpire
Assessment: observation/questioning
Thursday

HW Quiz

Continue Practice Problems with Complex Numbers
and Quadratic Equations (HW)

MICA Practice Test
Assignments: Complex Number HW
Resources: Integrated II Text, MICA
Technology: MICA, MOBI, TI nSpires
Assessment: homework, observation/questioning,
MICA Test
Friday

Go over HW

Quiz – Complex Numbers and Quadratic Equations

MICA Practice Test
Assignments: Complex Numbers and Quad. Eq. HW
Resources: Integrated II Text, Quiz, MICA
Technology: MOBI, TI nSpires, MICA
Assessment: homework, Quiz, MICA Test,
observation/quesioning
Assignments:
2