Algebra 2 Topics 2nd semester
Lesson
6.5
Objectives and Plans
Systems of Inequalities
6.6
Linear Programing
Intro to Conic Sections: Circles and
Parabolas - Transformations
Parabolas- Directrix/Focus/Vertex
8.2, 8.3
8.3
8.5
8.6 Day 1 Notes
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Write inequalities to describe real world constraints.
Graph systems of inequalities.
Interpret the meaning of vertices of feasible region.
Apply linear programming to situations with two variables and optimize.
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Operations of rational functions—
add/subtract/mult/divide
Arithmetic Series Rule & Sigma Notation
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Determine the relationship of the parabola’s focus, directrix and
vertex with the graph and equation
Explore the general quadratic equation (circles and parabolas
only)
Covert general quadratic equation to standard form by
completing the
Graph and find the equations of transformations of the parent
function y = 1/x
Rewrite Rational Expressions in different forms (including using
long division)
Use Rational Functions to solve application problems (mixture
problems)
Rewrite Rational Expressions in different forms (including using
long division)
Identify characteristics of the graph of a rational function from its
equation
Investigate graphical behavior of rational functions (holes,
asymptotes, intercepts, increasing and decreasing, end behavior)
Add, subtract, multiply and divide rational functions
Simplify rational expressions
Review arithmetic sequences
Learn sigma notation
Learn Arithmetic series formula
Infinite Geometric Series Rule &
Applications
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Introduce geometric series
General Form to Standard Form –
Parabolas and Circles/Ellipses
Examples B, C
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Introduction to rational functions
Graphing and writing the equation
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8.7 Day 1 Notes
Features of a rational function—((holes, x
ints, vertical asymptotes, y ints,
horizontal asymptotes) Ex B) & writing
the equation from a graph (ex A)
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8.8 Notes
9.1 Notes
9.2 Notes
Algebra 2 Topics 2nd semester
Partial Sums of Geometric Series Rule-Ex. C
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Find the sum of infinite geometric series
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Derive finite geometric series formula (partial sum of a geometric
series)
Use the finite geometric series formula to solve problems
(including word problems)
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9.3
Partial Sums of Geometric Series Rule & R
10.1/10.2
Vocab & Tree Diagrams
10.2
10.3
Tree Diagrams
Mutually Exclusive and Venn Diagrams
BASIC PROBABILITY
 Probability = Total ways a specific event can happen divided by
the total ways an event can happen. Applying counting
principles to find probabilities.
 Find Probabilities from Two-way Frequency Tables. **tech
demonstration?**
 Experimental v. Theoretical Probability - they should know the
difference between these from middle school, but review
quickly.
EVENTS AS SUBSETS OF A SAMPLE SPACE
 Venn Diagrams (setting up, union- “or”, intersection- “and”,
complement- “not”)
 -for probabilities
 -for tallies (and could make into probabilities)
10 Exploration p. 558: Compare experimental and theoretical
probability using simulation. Activity can be done using TI-Nspire
software.
 DAA 10.4 #15a
COMPOUND EVENTS
 Addition Rule for Mutually Exclusive Events
 P(A or B)= P(A)+P(B)
Algebra 2 Topics 2nd semester
 Addition Rule for Inclusive Events
 P(A or B)= P(A)-P(B)-P(A and B)
INDEPENDENT AND DEPENDENT EVENTS
 Given P(A), P(B), and the P(A and B) say if events are
independent or dependent
 Apply independent and dependent probabilities to everyday
events (application problems)
 Multiplication Rule for Independent Events
draw a card, replace the card , draw again
 P(A and B)= P(A)*P(B).
 Multiplication Rule for Dependent Events
 draw a card, don’t replace the card, draw again
 P(A|B)=P(A and B)/P(B) or you can rewrite as: P(A and
B)=P(B)*P(A|B)
10.5
Permutations
10.6
Combinations
10.7
Binomial Theorem and Pascals Triangle
2.1 Notes
5 number summary, Outliers Mean,
Median, Mode & Standard Deviation
2.2 Notes
2.3 Notes
11.1
11.2 Notes
Percentile Rank, Histogram
Experimental Design
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Frequency Histograms and
Probability Distribution
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Learn the strengths and weaknesses of studies: experimental,
observational, survey
Know the difference between association and causation
Design a study appropriate for testing a hypothesis
Critique a study design behind reported statistic
Understand the difference between a parameter and a statistic
Distinguish between discrete variables and continuous random
variables.
Review of vocabulary
Algebra 2 Topics 2nd semester
11.2
11.3 Notes
Simpsons Paradox p. 633
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Normal Distribution Curve; 68-95-99.7
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11.4 Notes
11.5
68-95-99.7; Z-Values; Confidence Intervals
Correlation Coefficient
Line of best fit- Using Regression
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12.1 Day 2 Notes
Special Right Triangles and Trig
12.2 Notes
Law of Sines
12.3 Notes
Law of Cosines
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Make inferences and justify conclusions from random
experiments
Decide if differences between parameters are significant
Investigate the appropriateness of fitting a normal curve to
data
General properties of normal distribution
Required : pg. 641 11d
Suggested: pg. 643 Exploration to recognize appropriateness of
normally distributed data.
Not Required: the equation of the normal distribution
Use the Empirical rule and technology to analyze normally
distributed data
Calculate z-scores and confidence intervals
Analyze margin of error
Find and interpret the coefficient of correlation to measure
association.
Understand the difference between correlation and causation.
Required: Find the correlation coefficient using technology
Not required: find the correlation coefficient by formula.
Derive the Law of Sines
Solve problems using the Law of Sines including word
problems.
Required: Derive or Prove Law of Sines.
 Required: Word Problems Suggested: Investigation pg. 690
 Derive the formula for area of a triangle: Area = (1/2) ab sin(c)
Supplement with pg. 697 “Improving your Geometry Skills”
 Derive the Law of Cosines
 Solve problems using the Law of Cosines including word
problems.
Required: Derive or prove the Law of Cosines.
Algebra 2 Topics 2nd semester
Suggested: Example A pg. 698
12.4
13.1 Notes
Extending Trigonometry
Unit Circle and Coterminal Angles
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13.2 Notes
13.3 Day 1 Notes
13.3 Day 2 Notes
13.3 Day 3 Notes
13.3 Day 5
13.4
13.3 Review
13.5
Graph Sine/Cos in radians, Sin/Cos/Tan
exact values
Sin/Cos Vertical & Horizontal Translations
Find reference angles and draw corresponding reference
triangles
Identify relationships between trigonometric ratios and circular
functions
Understand that coterminal angles have the same
trigonometric value
Graph Sine/Cos in degrees Sin/Cos/Tan exact values
 Convert between radians and degrees
 Understand that 1-radian angle as the angle whose intercepted
arc is the length of the radius.
 Learn formula for arc length
 Graph parent functions of y=sin x, y=cos x, y=tan x
Required: Pg. 750 Mini Investigations #7-9
Apply knowledge of transformations to the graphs of trigonometric functions.
Learn vocabulary associated with sinusoidal graphs
*CCSS uses “mid-line” for sinusoidal axis.
Period Changes
Writing Transformations
Find inverse functions
Applications
Use trigonometric equations to model word problems.