Adv.Alg./Trig Unit 1

“Honors PreCalculus – Unit 2”

High School Math

Prentice Hall “PreCalculus” and Pacesetter “PreCalculus Through Modeling”

Target Time Frame: 13-17 Days

ESSENTIAL STANDARD

/ ESSENTIAL QUESTION / DEPTH for MASTERY / TEXTBOOK
SECTIONS / PACESETTER
UNITS
1 Solves problems throughout this course that involve: selecting appropriate approaches and tools, using estimating strategies to predict computational results, and judging reasonableness of results. / How do we select an appropriate approach to solving a problem and how do we judge the reasonableness of the results? / All / All / 2
2 Solves practical applications and to other problems that relate concepts to concepts using appropriate tools. / How do we use algebra to solve real-world problems? / All / All / 2
10 Defines, graphs, and shows the inverse relationship between logarithmic and exponential functions. / What are logarithmic and exponential functions and how are they related? / All / 5.2
5.3 / 2
11 Solves logarithmic and exponential equations and problems. / How do we solve logarithmic and exponential equations? / All / 5.4
5.5 / 2
12 Solves problems involving application of exponential and logarithmic functions using appropriate techniques and tools. Makes predictions from collected data using regression techniques. / How do we use logarithmic and exponential functions to solve real-world problems? / All / 5.6
5.7
5.8 / 2
33 - Uses appropriate sigma notation to represent series; defines and discriminates between arithmetic and geometric series. / How do we represent geometric series using sigma notation? / Geometric only. / 12.1
12.3 / 2

ESSENTIAL STANDARD

/ ESSENTIAL QUESTION / DEPTH for MASTERY / TEXTBOOK
SECTIONS / PACESETTER
UNITS
34 - Determines terms of sequences:
- describes sequences in terms of recursive formulas,
-relates to linear and exponential functions, and
- finds determines sums of the first n terms of arithmetic and geometric series. / How do we define geometric sequences and identify terms with explicit and recursive formulas?
How are geometric sequences like linear and exponential functions?
How do you find the sum of a finite geometric series? / Geometric only. / 12.1
12.3 / 2
35 - Evaluates the limit of an infinite series, defines converging and diverging series, and finds the sum of an infinite series if it exists. / How do you find the sum of an infinite series if one exists? / All / 12.3 / 2

Objectives Taught in Other Courses

Course

QCC

Algebra I / 36,38,39,40
Honors Algebra II / 8,21,22,23,24,25,26,27,28,29,30,31,32
Statistics / 38,39,41,42,43,44

Throughout the Pre-Calculus course the curriculum will focus on:

(1) Mathematical Knowledge

(2) Communication of Mathematical Understanding

(3) Application of Mathematical Knowledge