Chapter 8 – Inverses and Radicals
Algebra II
11
Monday
127
Title
8.1B Function
Composition
12 Tuesday
128
Title
8.2 Inverses of
Relations
13 Wednesday
129
Title
8.3 Properties of
Inverse Functions
Objectives
Objectives
Objectives
A: Find values and rules for
composites of functions.
H: Solve real-world problems
that can be modeled by
composite functions.
B: Find the inverse of a
function.
F: Apply properties of the
inverse of a function.
J: Make and interpret graphs
of inverses of relations
and functions.
B: Find the inverse of a
function.
F: Apply properties of the
inverse of a function.
J: Make and interpret graphs
of inverses of relations
and functions.
Assessments
Assessments
Assessments
Lesson Activities
Lesson Activities
Lesson Activities
Develop concept of function
composition.
Applications of function
composition.
Guess My Rule Activity
Columns of Yes/No
exemplars for inverse
functions illustrated through
function composition.
Compare domains, ranges
for a function and inverse.
Compare graphs of a function
and its inverse.
Is the inverse of a function
always a function?
Demonstrate the process for
finding the inverse of a
function.
Compare graphs of a function
and its inverse and discuss
use of Vertical-Line Test
and Horizontal-Line Test.
Function composition of a
function and its inverse.
Assignment
HW 8.1B # 1-7, 9-14, 16-18
Assignment
HW 8.2 #1-18
.Assignment
HW 8.3 #1-10, 14-21
14 Thursday
130
Title
RV 8.1 – 8.3
Objectives
March
15 Friday
131
Title
RV 8.1 – 8.3
8.4 Radical Notation for
nth Roots
Objectives
C: Evaluate radicals.
G: Apply properties of
radicals and nth root
functions.
I: Solve real-world problems
that can be modeled by
equations with radicals.
Assessments
Assessments
Lesson Activities
Review homework from
Lessons 8.1 – 8.3.
Work on Lesson Masters for
Lessons 8.1 – 8.3.
Lesson Activities
Matching Activity to link
Radical notation with
Rational exponent notation.
Two ways to evaluate
𝑚
𝑛
( √𝑥 𝑚 ) = 𝑥 𝑛 and
𝑛
𝑚
𝑚
( √𝑥 ) = 𝑥 𝑛 .
Evaluating √√√𝑥 etc.
Assignment
Lesson Masters 8.1 – 8.3
Assignment
HW 8.4 Covering the Reading
#1-16