Algebra 2 Learning Targets
Lesson
Homework
Learning Targets
NOTE: Review Arithmetic and Geometric Sequences (1.1 and 1.2) if necessary.
Slope is determined from a graph (not calculated until 3.2)
1.1
3.1 HW p. 127 #1-5, 7, 8, 10, 12
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Given a recursive formula , find n for a given un
Use the un intercept and slope to write a linear equation
Recognize slope as the common difference of an arithmetic sequence.
Find the average rate of change from a graph
Deepen understanding of slope.
Find the average rate of change from a graph and table.
Use recursion in application contexts
Define slope formula and intercept form for lines.
Define domain and range and find them in application contexts.
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Formalize: calculation of slope and “intercept form”
Find the line of fit for data and discuss the key features of the graph.
Learn and use the point-slope form of a line.
3.2
Linear Regression
3.3 HW: p. 141 #1- 6, 7a, 8, 10-12, 14
Solving Systems by Graphing
3.6 Applications HW: p. 165 #2-4, 7, 10
Solving Systems by Substitution and
Elimination Day 1
3.7 HW p. 170 #1-5, 7-10 (one solid hour)
Optional: Supplement with technology to find line of best fit (linear regression
model)
 Solving systems of equations using simple substitution.
 Understand the visual representation of a solution to a system of equations
and solve systems of equations graphically
 Examine problems involving two or more conditions that must be satisfied at
the same time.
 Estimate solutions from a graph.
 Graph system equations to analyze functions with different applications.
Supplement with technology to model functions and find intersections
 Define inconsistent, consistent and dependent systems.
 Solve systems of equations using advanced substitution.
 Explore how the addition and multiplication properties of equations can be
used to solve
Algebra 2 Learning Targets
Solving Systems by Substitution and
Elimination Day 2 with Applications
Finish 3.7 HW and do worksheet 3.7 as
3.7 extra credit HW assignment.
Review
Supplement with worksheets and/or more real life problems.
Required pg. 171 #10
HW: p. 174 #1-7, 16, 18, 19
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4.1
Interpreting Graphs
Pg187 #1-9 & pg183 #1-3
4.1-4.4
Function Notation
4.2 Evaluating Functions Worksheet
includes answers
Domain / Range and Vocab
Domain/Range and 4.2 Function Notation
worksheet
Translations
Parabola Functions
4.4 Investigation
Pg. 209 #1-4,7
More Translations!
CW: 4.4 MPYS worksheet
Pg 210 # 5,6,8,10,15
Review
p. 245 #1, 2, 3ab, 4a, 5a, 6d, 7, 8
p. 193 #17, 4 (until confident)
4.5
Reflections!
Square Root Functions
Pg. 216 #1,3,6,10,12,14
4.2
4.2
4.4
4.4
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Solve equations. Check answers for extraneous solutions.
Identify independent & dependent variables
Interpret features of a qualitative graph, including rates of change and x- & yintercepts.
Required: pg. 182 RYS (including #3 extraneous solutions)
Required: pg. 186 Investigation
Define function as “a relation with at most one y-value for any x-value”
Review function notations
Interpret features of a qualitative graph, including rates of change and x- & yintercepts.
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Define the parent quadratic function, y = x2
Introduce the vertex form of the graph of a parabola, y = (x - h)2 + k
Determine graph from equation and equation from graph
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Compare f(x), -f(x), f(-x), and -f(-x)
Define the parent square root function
Apply reflections for functions in general.
Solve radical equations in one variable noting extraneous solutions.
Algebra 2 Learning Targets
Supplement reflections with quadratics.
4.5
4.5
4.6
Piecewise Functions
4.5 Example A
Piecewise Worksheet
More Reflections!
4.5 MPYS
Pg. 216 #4,5,8,11,12, 13,16
Mini-test on story problems
Dilations!
Absolute Value Functions
Pg. 226 #1,3,5
More Dilations!
Play What’s My Graph?
Pg. 226 #7-11
 Define absolute value functions
 Calculate and apply horizontal and vertical scale factors
Optional: Add’l practice of transformations.
4.6
4.4-4.6
Review
Transformation General Equation notes
4.4 – 4.6 Review WS
What’s on the Quiz?
Circles/Ellipses
Unit Circle
4.8
Writing Circles as two equations
Ellipses and Circles Practice
Ellipses
Ellipses and Circles More Practice
Worksheet
Composition of Functions
Classwork: Composition Worksheet
Composition Worksheet and Answers
4.8
Comp. of Functions (day 2)
Pg. 240 #2-6,10,12,13ab,15,16
4.7
4.7
 Define and derive the unit circle equation.
 Express circle as two semicircles.
 Define ellipses.
 Apply dilations and transformations of circles.
Required: Derive unit circle pg. 229
Optional: Add’l practice of transformations
 Define and apply compositions of functions.
Req’d: Evaluate basic composition of functions only ex. f(g((2))
Algebra 2 Learning Targets
Review
5.1
5.1
5.1/5. 2
5.2
5.3
5.1-5.3
Pg245 #2, 3abd, 4, 5 (tell transformations
only),6d-h,7bc,8/ Quiz Corrections
Simplifying Radicals
5.1 Notes
Exponential Graphs y=abx
P. 251 #1-4
p. 255 #1-5
Transformations of Exponential graphs
(dilate, translate, reflect)
CW: Graphing Exponentials
5.1 cont – writing equation from graph
5.2 Properties of Exponents
CW: Properties of Exponents investigation
Notes: Things to Remember about
Exponents
5.2 HW: Exponentials and Power Functions
(Kuta)
5.1 HW: Graphing Exponentials (Kuta)
Exponents
Similar Base Notes
Properties of Exponents
Solving with Exponents
Similar Base Solutions
Undo any exponent
p. 262 #1-4, 6
Day 1 Notes
Rational Exponents pg267 EX A
Solving for x with rational exp
Notes on Rational Exponents and Roots
Pg. 270 #1-4,9,11,14,17
Extra Practice of Exponentials (optional)
More Exponential Practice
Point Ratio Form: Pg262 Example B
General Form
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Create Exponential functions and use to solve problems
Define exponential functions with y = abx as the parent function
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Review the properties of exponents
Compare Parent function of Power to Parent function of Exponential.
Simplifying Radicals
Estimate Radicals
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Define rational exponents and roots.
Model behavior using exponential functions
Algebra 2 Learning Targets
5.1-5.3 Practice Worksheet
5.4
5.5
5.5
5.6
5.6
5.4-5.6
Day 1 Notes
Application of Exponentials
Applications problems
Hw: p. 277 #1-5, 7, 8
Inverses—Solving For X
Compositions of functions and their
inverses
5.5 Inverses worksheet
More uses of inverses and exponentials
Pg.283 #1-5,7-9,13,14(a-d), 15,17
Day 1 Notes
Logarithm Notes
Definitions of a Logarithm
Change of base Formula
Using Logarithm Functions WS
Logarithm--Graphing
CW: Graphing Logarithms worksheet
Pg 290 #1-3,5,6,8
Review for Quiz
5.5-5.6 Review Worksheet and Key
View help videos to see the problem
worked:
Help with problem #13
Help with problem #14
Help with problem #18
Help with problem #19 part a
Help with problem #19 parts b,c,d
Help with problem #20
Review for Test
p. 309 #1-3, 5-10
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Find solutions to real world applications or rational-exponential and power
functions
Apply vertical shifts to exponential functions. Understand the effect on
intercepts and end behavior
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Find inverse functions.
Write expressions for inverse functions.
Write compositions of function with their inverses.
 Apply inverses in word problems.
 Solving equations for exponents
 Define logarithm
 Establish that the inverse of an exponential function is a logarithmic
 Graph Logarithmic Equations
Required: Formalize “graphing logarithmic equations”
Suggested: Supplement worksheets solve equations with exponents requiring
logarithms.
Algebra 2 Learning Targets
Notes
3 forms of a Quadratic; Writing quadratic
in general form from data
Pg390 #1-6,7abe,8,9,16,17
Equivalent Quadratic Forms
Equivalent Quadratic Forms Key
Notes
Vertex form by completing
the square (with a =1)
HW: Investigation through step 4
Vertex Form Practice #1-5, 10, 11, 13
Notes
Vertex form by completing the square
(with a≠1)
Finish investigation
Vertex Form Practice With Key (finish)
Pizzazz Factoring Practice p. 90
Notes
7.2
7.2
7.3
7.3
Find time for Factoring Practice worksheets
Required pg. 391 #6, 7
Vertex form application problems
Application Practice With Key #1-4
Factoring Practice #1-10
Quadratic Formula
Factoring Practice #11-20
Quadratic Formula Practice
7.3
7.4
Review
Review
7.2-7.4
Do not need to memorize Projectile Motion Function Equation
7.4 Hw?
7.2-7.4 Review Practice
Check review practice and choose
what you want to work on including:
Pg400 3-5,9,12,13
Pg406#3-7
Test
Objectives for Chapter 7
Objectives for 7.2-7.4
Identify the 3 forms of a quadratic (general, vertex, factored)
Convert from vertex form or factored form to general form
Algebra 2 Learning Targets
Homework is Skills Mastery worksheets
7.5
7.5
Review
Review
7.5
Day 1 Notes
Complex Numbers-add, sub, mult
Pg412 #1-3,6,7,14
Day 2 Notes
Complex Conjugates
Complex Numbers- Divide & Graphing
Identify zeros of a factored form equation
Identify the vertex and axis of symmetry of a vertex form equation
Convert from general form to vertex form by completing the square
a) When leading coefficient = 1
b) When leading coefficient = -1
c) When leading coefficient > 1
Convert from general form to factored form by factoring
a) Difference of two squares
b) Un-distribute
c) Usual way
Solve a Projectile motion problem
Use Quadratic Formula to find solutions
 Define complex numbers
 Define complex conjugates
 Find non-real solutions as conjugate pairs
 Explore arithmetic computations with complex numbers
7.5 MPYS Complex Numbers
7.5 Complex Numbers - Review With Key
7.5 Review 2 With Key
Quiz on 7.5
Objectives for 7.5
Operations with complex numbers
a) add
b) subtract
c) multiply
d) divide / Rationalize the Denominator
Identify complex conjugates
Graph on a complex plane
Determine the number of real roots (1, 2, none) based on the discriminate
(b2 – 4ac)
Add
Algebra 2 Learning Targets
Objectives for Chapter 7
7.6 Notes
Factoring Polynomialswriting the equation in factored form
Pg420 #1-4ab, 6 (not b or d), 7-9
7.7 Day 1 Notes
Higher Degree Polynomials
CW: EB worksheet & answers
Pg426 #1-5
7.7 Day 2 Notes
7.8
7.8
Graphing Higher Degree Polynomials
Pg427 #6-8, 11-15
Long Division
p. 434 #1, 2
Synthetic Division
p. 434 #3-5, 7-9, 13, 17, 18
Use the graphs of polynomial equations to find the roots and use the zeros to
graph the function
Relate the graphs of polynomial equations zeros and end behavior.
Build new functions from existing functions
Required: complex roots of polynomials
 Investigate extrema and end behavior of polynomial functions
 Identify possible degrees of polynomial functions
 Find additional roots given one or more complex roots
 Applying the Factor and Remainder Theorem
Optional: Rational Root Theorem
Required: pg. 435 #12