Download Chapter 1 Unit Oblectives and Vocabulary

Algebra 3
8/17 – 8/21
8/24 -8/28
Chapter 1 Linear Relations and Functions Unit Plan
Monday
Tuesday
Wednesday
Thursday
Friday
First Day
Class Procedures
Pretest
Section 1.1
HW p10/20-46 even
Section 1.1 / 1.2
Section 1.2
Section 1.3
Quiz 1.1
HW p10/48-50 all &
p17/12-24 even
HW p17/26, 3539all
HW p24/12-23 all
graph on graph paper
Section 1.3
HW p24/24-30 even, 4046 even
Section 1.4
Quiz 1.2
Section 1.8
Sections 1.5 & 1.8
Section 1.5 & 1.8
HW p30/12-24 even
Section 1.5
HW p55/10-20
even, 29, 30
HW Pig wkt 198/199
Write eq of Lines #1
Review
HW36/12-26 even,
35
8/31–9/4
Quiz 1.4/1.5
Review
HW Write Eq of lines #2
Test ch 1
Linear Relations and
Functions
HW p57/1-10 all, 1238 even
1.1 Relations and Functions
Objectives:
Determine whether a given relation is a function
Identify the domain and range of a relation or function
Evaluate functions
Vocabulary
A relation is a set of ordered pairs.
The domain is the set of all abscissas (x-values) of the ordered pairs.
The range is the set of all ordinates (y-values) of the ordered pairs.
A function is a relation in which each element of the domain is paired with exactly one element of the range.
Section 1.2 Composition of Functions
Objectives: TSWBAT
Perform operations with functions
Find composite functions
Iterate functions using real numbers
Vocabulary:
(f+g)(x) = f(x) + g(x)
(f-g)(x) = f(x) - g(x)
(fg)(x) = f(x)*g(x)
(f/g)(x) = f(x)/g(x)
In a composition, a function is performed and then a second function is performed on the result of the first
functions.
(fog)(x) = f(g(x))
An iteration is the composition of a function on itself. (fof)(x)
Section 1.3 Graphing Linear Equations
Objectives:
Graph linear equations
Find the x and y-intercepts of a line
Find the slope of a line through two pints
Find zeros of linear functions
Vocabulary
A Linear Equation has the form Ax + By + c = 0 where A and B are not both zero.
The x-intercept is where the graph crosses/touches the x-axis - where the y value is 0.
The y-intercept is where the graph crosses/touches the y-axis - where the x value is 0.
The slope of a nonvertical line is the ratio of the change in y and the change in x (rise/run)
The slope formula is:
The zero of a function is the values of x when f(x) = 0 also called the x-intercept
A constant function is a horizontal line
Standard Form:
Slope/Intercept Form:
Ax + By + C = 0
y = mx + b
Point/Slope Form:
Horizontal Line:
Vertical Line:
y=#
x=#
Section 1.4 Writing Linear Equations
Objective:
Write linear equations
Vocabulary
Standard Form:
Slope/Intercept Form:
Ax + By + C = 0 prefer A to be positive and A, B and C are not fractions
y = mx + b
Point/Slope Form:
Horizontal Line:
Vertical Line:
y=#
x=#
Section 1.5 Writing Equation of Parallel and Perpendicular Lines
Objective:
Write equations of parallel and perpendicular lines
Vocabulary
Parallel lines - two lines that are in the same plane and have no points in common (slopes are the same)
Coincide - two equations that represent the same line
Perpendicular lines - two lines in the same plane whose slope are negative reciprocals - intersect at a 90°
angle
Section 1.8 Graphing Linear Inequalities
Objective:
Graph linear inequalities