Download MA10-GR. HS.-S.2

ALGEBRA II LESSON PLAN
Monday, November 10, 2014
Standards: MA10-GR. HS.-S.2-GLE.1
MA10-GR. HS.-S.2-GLE.2
MA10-GR. HS.-S.2-GLE.3
MA10-GR. HS.-S.2-GLE.4
Unit Title:
Poly Want a Nomial
Inquiry Question:
 What is the square root of negative 1? What are the implications of having a
solution to this problem?
 How did the ancient Greeks multiply binomials and find roots of quadratic
equations without algebraic notations?
Unit Strands:
 Number and Quantity: The Complex Number System
Concepts:
 Imaginary and Complex numbers
I Can:
 Define the complex number I such that i2=-1, and every complex number has
the form a+bi, with a and b real.
Learning Activities:
1. Discuss common mistakes from last Friday’s quiz.
2. Give pupils items on solving for the value of x.
a. x2=4
b. x3=27
c. x3=-8
d. x2=-1
3. For the last item, ask pupils if this is possible. Getting an answer of
x=√−1. Let pupils argue whether or not it is possible. The, show it is
using the equation.
4. Give a brief background on imaginary numbers.
5. Let pupils rewrite the imaginary numbers in terms of i and simplify if
possible through a whiteboard activity.
Vocabulary: imaginary numbers
Assessment: Whiteboard Activity, Recitation and Class Discussion
Tuesday , November 11, 2014
Standards:
MA10-GR. HS.-S.2-GLE.1
MA10-GR. HS.-S.2-GLE.2
MA10-GR. HS.-S.2-GLE.3
MA10-GR. HS.-S.2-GLE.4
Unit Title:
Inquiry Question:
Unit Strands:
Concepts:
I Can:
Learning Activities:
Since there will be a lot of pupils excused for Veteran’s Day. I decided that the
students will just watch a movie related to Mathematics.
Vocabulary:
Assessment:
Wednesday, November 12, 2014
Standards: MA10-GR. HS.-S.2-GLE.1
MA10-GR. HS.-S.2-GLE.2
MA10-GR. HS.-S.2-GLE.3
MA10-GR. HS.-S.2-GLE.4
Unit Title:
Poly Want a Nomial
Inquiry Question:
 What is the square root of negative 1? What are the implications of having a
solution to this problem?
 How did the ancient Greeks multiply binomials and find roots of quadratic
equations without algebraic notations?
Unit Strands:
 Number and Quantity: The Complex Number System
Concepts:
 Imaginary and Complex numbers
I Can:
 Define the complex number I such that i2=-1, and every complex number has
the form a+bi, with a and b real.
 Use the relation i2=-1 and the commutative, associative and distributive
properties to add, subtract and multiply complex numbers
Learning Activities:
1. Conduct a review and drill on imaginary numbers.
2. Define complex numbers. Complex numbers are those that can be written
a+bi where a and b are real numbers.
3. Discuss how to write complex numbers in standard form and identify the
values of a (real numbers) and b (imaginary numbers).
4. Show the landscape of the complex and imaginary numbers.
5. Discuss how to add and subtract complex numbers. To add two complex
numbers we add each element separately: (a+bi) + (c+di) = (a+c) + (b+d)i
6. Whiteboard activity.
Vocabulary: complex and imaginary numbers
Assessment: Whiteboard Activity, Recitation and Class Discussion
Thursday, November 13, 2014
Standards: MA10-GR. HS.-S.2-GLE.1
MA10-GR. HS.-S.2-GLE.2
MA10-GR. HS.-S.2-GLE.3
MA10-GR. HS.-S.2-GLE.4
Unit Title:
Poly Want a Nomial
Inquiry Question:
 What is the square root of negative 1? What are the implications of having a
solution to this problem?
 How did the ancient Greeks multiply binomials and find roots of quadratic
equations without algebraic notations?
Unit Strands:
 Number and Quantity: The Complex Number System
Concepts:
 Imaginary and Complex numbers
I Can:
 Define the complex number I such that i2=-1, and every complex number has
the form a+bi, with a and b real.
 Use the relation i2=-1 and the commutative, associative and distributive
properties to add, subtract and multiply complex numbers
Learning Activities:
1. Conduct a review and drill on complex numbers and adding and subtracting
complex numbers.
2. Discuss how to multiply complex numbers.
3. Discuss how to simplify higher powers of i.
4. Whiteboard activity.
Vocabulary: complex and imaginary numbers
Assessment: Whiteboard Activity, Recitation and Class Discussion
Friday, November 14, 2014
Standards: MA10-GR. HS.-S.2-GLE.1
MA10-GR. HS.-S.2-GLE.2
MA10-GR. HS.-S.2-GLE.3
MA10-GR. HS.-S.2-GLE.4
Unit Title:
Poly Want a Nomial
Inquiry Question:
 What is the square root of negative 1? What are the implications of having a
solution to this problem?
 How did the ancient Greeks multiply binomials and find roots of quadratic
equations without algebraic notations?
Unit Strands:
 Number and Quantity: The Complex Number System
Concepts:
 Imaginary and Complex numbers
I Can:
 Define the complex number I such that i2=-1, and every complex number has
the form a+bi, with a and b real.
 Use the relation i2=-1 and the commutative, associative and distributive
properties to add, subtract and multiply complex numbers
Learning Activities:
1. Conduct a review and drill on adding subtracting, multiplying complex
numbers and simplifying i.
2. Give a graded worksheet on complex numbers
Vocabulary: complex and imaginary numbers
Assessment: Whiteboard Activity, Recitation and Class Discussion