Pre-Calculus: Unit Ten
Lesson Plan
Pre-Calculus —Toomey
DAY 1
STANDARDS
ESSENTIAL
QUESTIONS
DAY 2
UNIT 10 — Conic Sections (Duration: 2 Weeks – Quarter 4)
DAY 3
DAY 4
DAY 5
DAY 6
DAY 7
DAY 8
No Common Core Standards.
10-1: What is a sequence? (A sequence is an ordered list of numbers. The elements of the sequence are terms. A
sequence may be finite—with a limited number of terms—or infinite.
To sufficiently define a unique sequence, a formula for the nth term or other information must be given. An explicit
formula gives the nth term an as a function of n. A recursive formula gives one or more of the first few terms and then
additional terms can be found using those previous terms.
If a sequence has a limit, it is convergent. If a sequence does not have a limit, it is divergent.)
10-2: What is a series? What is the difference between a series and a sequence? (A series is the sum of all the terms in a
finite sequence or a partial sum of an infinite sequence. Sigma notation can be used to denote a series.)
OBJECTIVES
AGENDA
10-3: What is the difference between an arithmetic sequence and a geometric sequence? ( A sequence is arithmetic
when the difference between successive terms is a constant. The nth term of an arithmetic sequence can be found using
the formula an = a1 + (n − 1)d, where a1is the first term, n is the number of terms in the sequence, and d is the common
difference. A sequence is geometric when the ratio between successive terms is a constant, called a common ratio.
The nth term of a geometric sequence with the first term a1 and common ratio r is an = a1rn − 1.)
10-1: Investigate several different types of sequences. Use sigma notation to represent and calculate sums of series.
10-2: Find nth terms and arithmetic means of arithmetic sequences. Find sums of n terms of arithmetic series.
10-3: Find nth terms and geometric means of geometric sequences. Find sums of n terms of geometric series and the sums
of infinite geometric series.
Do Now,
Do Now,
Do Now,
Do Now,
Do Now,
Do Now,
Practice
Practice
Unit 10
Go over
Lesson 10- Go over
Go over
Go over
Go over
Test
Test
Test
Unit 7 test, 1 day 2,
hw, Lesson hw, Lesson hw, Lesson hw, Lesson
Lesson 10- Practice,
10-2 day 1, 10-2 day 2, 10-3 day 1, 10-3 day 2,
1 day 1,
Exit Ticket. Practice,
Practice,
Practice,
Practice,
Practice,
Exit Ticket. Exit Ticket. Exit Ticket. Exit Ticket.
Exit Ticket.
Pre-Calculus: Unit Ten
Lesson Plan
DO NOW
EXIT TICKET
ACTIVITIES
Pg. 598: 112 Pg. 598: 109 Pg. 607: 102
GP: 2B
GP: 5A
GP: 3A
Graphing calculator activity, Review Game
Quiz
GP: 6C
Pg. 618: 128
GP: 3A
Pg. 618: 127
GP: 5A
HOMEWORK
10-1: 1-9
odd
10-2: 27-32
all, 39, 4553 odd, 63,
70
10-3: 1-29
odd, 75,
78,127,
10-3: 33-60
mult of 3,
77
Notes 10-2
(all
examples
except 5)
MATERIALS
Text: Pre-Calculus–
Common Core
10-1: 15-23
odd,27-37
odd, 37-43
odd
10-2: 1-25
odd, 89, 103
Practice Test
Practice Test Finish Quick
Check Unit
12
Notes 10-3
Text: Pre-Calculus–
Common Core
Text: Pre-Calculus–
Common Core
Note12 -1
Text: Pre-Calculus–
Common Core
Text: Pre-Calculus–
Common Core
Text: Pre-Calculus–
Common Core
Text: Pre-Calculus–
Common Core
Text: Pre-Calculus–
Common Core