algebra 2; agenda; day 1; mon. aug. 24, 2015 (1st 9-weeks) ›objective: discuss opening of school...

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ALGEBRA 2; AGENDA; DAY 1; MON. AUG. 24, 2015 (1st 9-Weeks) › OBJECTIVE : DISCUSS OPENING OF SCHOOL PROCEDURE. Introduce the Number Systems (Real and Complex Numbers) › ACTIVITIES : (1) DISTRIBUTE OPENING OF SCHOOL MATERIALS. › (2) MATH PROBLEM (If time permits). Notes on the Real Number systems. Pg. 15 #10 – 12, & 35 – 40. › HOME LEARNING : CHECK THE KILLIAN WEBSITE FOR INFORMATION ABOUT THIS CLASS.

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Page 1: ALGEBRA 2; AGENDA; DAY 1; MON. AUG. 24, 2015 (1st 9-Weeks) ›OBJECTIVE: DISCUSS OPENING OF SCHOOL PROCEDURE. Introduce the Number Systems (Real and Complex

ALGEBRA 2; AGENDA; DAY 1; MON. AUG. 24, 2015 (1st 9-Weeks)

› OBJECTIVE: DISCUSS OPENING OF SCHOOL PROCEDURE. Introduce the Number Systems (Real and Complex Numbers)

› ACTIVITIES: (1) DISTRIBUTE OPENING OF SCHOOL MATERIALS.

› (2) MATH PROBLEM (If time permits). Notes on the Real Number systems. Pg. 15 #10 – 12, & 35 – 40.

› HOME LEARNING: CHECK THE KILLIAN WEBSITE FOR INFORMATION ABOUT THIS CLASS.

Page 2: ALGEBRA 2; AGENDA; DAY 1; MON. AUG. 24, 2015 (1st 9-Weeks) ›OBJECTIVE: DISCUSS OPENING OF SCHOOL PROCEDURE. Introduce the Number Systems (Real and Complex

ALGEBRA 2; AGENDA; DAY 2; TUE. AUG. 25, 2015 (1st 9-Weeks)› SEE BELL RINGER;

–THE REAL AND COMPLEX NUMBER SYSTEMS:› OBJECTIVE: SWBAT: Identify properties of real numbers.

› MAFS.912.N-CN.1.1 Students will add, subtract, and multiply complex numbers and use i² = -1 to write the answer as a complex number.

› ACTIVITIES: Review Properties of Real numbers. Notes on complex numbers.

› Perform arithmetic operations with complex numbers.

› Home Learning:

Page 3: ALGEBRA 2; AGENDA; DAY 1; MON. AUG. 24, 2015 (1st 9-Weeks) ›OBJECTIVE: DISCUSS OPENING OF SCHOOL PROCEDURE. Introduce the Number Systems (Real and Complex

REAL NUMBERS AND NUMBER OPERATIONS› Whole Numbers 0, 1, 2, 3, ….

› NATURAL NUMBERS; 1, 2, 3, …….

› INTEGERS: -3, -2, -1, 0, 1, 2, 3, ….

› RATIONAL NUMBERS: numbers such as ¾, 1/3, and -4/1 (or -4) that can be written as ratio of two integers. When written as decimals, rational numbers terminate or repeat. For example, ¾ = 0.75 and 1/3 = 0.333…..

› Irrational Numbers; Real #s that are not rational, such as the square root of 2, and pi.

Page 4: ALGEBRA 2; AGENDA; DAY 1; MON. AUG. 24, 2015 (1st 9-Weeks) ›OBJECTIVE: DISCUSS OPENING OF SCHOOL PROCEDURE. Introduce the Number Systems (Real and Complex

PROPERTIES OF ADDITION AND MULTIPLICATION

› Let a, b, and c be real numbers

› Property Addition Multiplication

› Closure a + b is a real number ab is a real #

› Commutative a + b = b + a ab = ba

› Associative (a + b) + c = a + (b + c) (ab)c = a(bc)

› Identity a + 0 = a, 0 + a =a a .1 = a, 1 . a = a

› Inverse a + (-a) = 0 a . 1/a = 1, a /= 0

› Distributive a(b + c) = ab + ac

Page 5: ALGEBRA 2; AGENDA; DAY 1; MON. AUG. 24, 2015 (1st 9-Weeks) ›OBJECTIVE: DISCUSS OPENING OF SCHOOL PROCEDURE. Introduce the Number Systems (Real and Complex

ALGEBRA 2; AGENDA; DAY 3; WED. AUG. 26, 2015 (1st 9-Weeks)

› SEE BELL RINGER;

–THE COMPLEX NUMBER SYSTEMS:› OBJECTIVE: SWBAT: MAFS.912.N-CN.1.1 Students will add, subtract, and multiply complex numbers and use i² = -1 to write the answer as a complex number.

› ACTIVITIES: Perform arithmetic operations with complex numbers. Worksheet on Complex numbers.

› Home Learning: Vocabulary worksheet (Due 8/28/15)

Page 6: ALGEBRA 2; AGENDA; DAY 1; MON. AUG. 24, 2015 (1st 9-Weeks) ›OBJECTIVE: DISCUSS OPENING OF SCHOOL PROCEDURE. Introduce the Number Systems (Real and Complex

ALGEBRA 2; AGENDA; DAY 4; THUR. AUG. 27, 2015 (1st 9-Weeks)

› SEE BELL RINGER;

–THE COMPLEX NUMBER SYSTEMS:› OBJECTIVE: SWBAT: MAFS.912.N-CN.1.1 Students will graph in the complex number plane, and divide complex numbers. Remember to use i² = -1 to write the answer as a complex number.

› ACTIVITIES: Pg. 253 #14, 16, 17, & 28-32 (all).

› Home Learning: Vocabulary worksheet (Due 8/28/15)

Page 7: ALGEBRA 2; AGENDA; DAY 1; MON. AUG. 24, 2015 (1st 9-Weeks) ›OBJECTIVE: DISCUSS OPENING OF SCHOOL PROCEDURE. Introduce the Number Systems (Real and Complex

ALGEBRA 2; AGENDA; DAY 5; FRI. AUG. 28, 2015 (1st 9-Weeks)

› SEE BELL RINGER;

–THE COMPLEX NUMBER SYSTEMS:› OBJECTIVE: SWBAT: MAFS.912.N-CN.1.1 Students will find complex number solutions of quadratic equations.

› ACTIVITIES: Discuss Pg. 253 #14, 16, 17, & 28-32 (all).

› Classwork: Pg. 253-254 # 34 – 44 (even) & 45-55 (all)

› Home Learning: Vocabulary W/S Today!! (Due 8/28/15)

Page 8: ALGEBRA 2; AGENDA; DAY 1; MON. AUG. 24, 2015 (1st 9-Weeks) ›OBJECTIVE: DISCUSS OPENING OF SCHOOL PROCEDURE. Introduce the Number Systems (Real and Complex

ALGEBRA 2; AGENDA; DAY 6; MON. AUG. 31, 2015 (1st 9-Weeks)

Page 9: ALGEBRA 2; AGENDA; DAY 1; MON. AUG. 24, 2015 (1st 9-Weeks) ›OBJECTIVE: DISCUSS OPENING OF SCHOOL PROCEDURE. Introduce the Number Systems (Real and Complex

ALGEBRA 2; AGENDA; DAY 7; TUE. SEPT. 01, 2015 (1st 9-Weeks)