Classifying Triangles
Objective: To identify parts of a triangle, classify triangles by their parts, discover and apply the
triangle sum theorem.
Triangle:
Classifying Triangles by Their Sides
Classifying Triangles by Their Angles
Angle/Side Relationships
Slopes of Lines
Objective: To find the slopes of lines through applying the slope formula and to use slope to
identify parallel and perpendicular lines.
Slopes of Lines:
Slope Formula:
Positive Slope:
Negative Slope:
Zero Slope:
Undefined Slope:
Example 1
Simplifying Radicals
Objective: To find the factors of a radical expression through applying the product and quotient
properties of radicals.
RADICALS
When the index is blank, it is the same as an index of 2, meaning square root.
RULES FOR SIMPLIFYING RAD
Using Proof in Algebra
Objective: To write algebraic proofs through solving for a given variable and writing a reason
for each step
Proof: A logical, step-by-step, explanation that shows the truth of a hypothesis guarantees the
truth of the conclusion.
In
If-Then Statements & Postulates
Objective: To write a statement in if-then form and write its converse, inverse and
contrapositive.
Conditional Statement: a logical statement that has _;
_ and _.
If it is Friday, then there is a football game.
hypothesis:
Parallel Lines and Transversals
Objective: To identify the relationships between two lines or between two planes and to name
angles formed by a pair of lines and a transversal through analyzing diagrams.
Parallel Lines: coplanar lines that do not intersec
INDUCTIVE REASONING & CONJECTURING
Objective: To make conjectures based on inductive reasoning.
Example 1: Describe how to sketch the fourth figure in the pattern. Then sketch the fourth
figure.
Example 2: Describe the pattern in the numbers -7, -21, -63,
Adding & Subtracting Radicals
Objective: To add and subtract radical expressions through first simplifying expressions and
then combining like terms.
To add and subtract radical expressions, the radical portion _,
then simply _the coefficients.
Think of t
Deductive Reasoning
Objective: To apply the laws of logic to make a valid argument through exploring specific
scenarios.
Deductive reasoning: uses _
to form a logical argument.
Laws of Logic:
Law of Detachment:
Law of Syllogism:
Example 1: Use the Law of
Consecutive (Same-Side) Interior Angles:
Example 2: Name all other pairs of corresponding angles in the above diagram.
Example 3: Name all other pairs of alternate exterior angles in the above diagram.
Example 4: Name all other pairs of alternate interior
ALGEBRA TWO HOMEWORK LIST FOR CHAPTER 1
SOLVING EQUATIONS AND INEQUALITIES
Reminder: Write out each problem from your textbook in its original form and show all work.
Section 1.1 Expressions and Formulae
p.8, #5-45 odd, then read Section 1.2
Section 1.2 P
ALGEBRA TWO HOMEWORK LIST FOR CHAPTER 3 SYSTEMS OF LINEAR EQUATIONS
You will need graph paper for most of these assignments. This is a list of text book
assignments only there will be additional assignments on handouts.
Section 3.1 Solving Linear Systems
ALGEBRA TWO HOMEWORK LIST FOR CHAPTER 2 LINEAR RELATIONS AND FUNCTIONS
Reminder: Write out each problem from your textbook in its original form and show all work.
Section 2.1 Relations and Functions
p.60-62, #17-33 odd, 38-41 all, 47-53 odd, 54, 55, then
ALGEBRA TWO HOMEWORK LIST FOR CHAPTER 5 POLYNOMIALS
Reminder: Write out each problem from your textbook in its original form and show all work.
This is a list of Textbook work only there will be worksheets, too.
Section 5.1 Monomials
p.226-227 #18-43 all,
ALGEBRA TWO HOMEWORK LIST FOR CHAPTER 8
CONIC SECTIONS
Reminder: Write out each problem from your textbook in its original form and show all work.
This is a list of Textbook work only there may be worksheets, too.
Section 8.1 Midpoint and Distance Formul
ALGEBRA TWO HOMEWORK LIST FOR CHAPTER 6
QUADRATIC FUNCTIONS AND INEQUALITIES
Reminder: Write out each problem from your textbook in its original form and show all work.
This is a list of Textbook work only there will be worksheets, too.
Section 6.1 Graph
ALGEBRA TWO HOMEWORK LIST FOR CHAPTER 9
RATIONAL EXPRESSIONS AND EQUATIONS
Reminder: Write out each problem from your textbook in its original form and show all work.
Section 9.1 Multiplying and Dividing Rational Expressions
Simplifying Rational Expressio
ALGEBRA TWO HOMEWORK LIST FOR CHAPTER 14
TRIGONOMETRIC FUNCTIONS
Reminder: Write out each problem from your textbook in its original form and show all work.
Section 14.1 Graphing Trigonometric Functions
p. 767 #15-32 all
Supplemental worksheets may be giv
ALGEBRA TWO HOMEWORK LIST FOR CHAPTER 13
TRIGONOMETRIC FUNCTIONS
Reminder: Write out each problem from your textbook in its original form and show all work.
Section 13.1 Right Triangle Trigonometry
p. 706-707 #15-45 all, then read Section 13.2 in text.
Su
ALGEBRA TWO HOMEWORK LIST FOR CHAPTER 7
POLYNOMIAL FUNCTIONS
Reminder: Write out each problem from your textbook in its original form and show all work.
This is a list of Textbook work only there may be worksheets, too.
Section 7.1 Polynomial Functions
p
ALGEBRA TWO HOMEWORK LIST FOR CHAPTER 10
EXPONENTIAL AND LOGARITHMIC RELATIONS
Reminder: Write out each problem from your textbook in its original form and show all work.
Section 10.1 Exponential Functions
p. 528-529 #21-55 odd, then read Section 10.2
Sec
Name:_
Date: _
Geometry Notes
2.1 INDUCTIVE REASONING & CONJECTURING
Objective: To make conjectures based on inductive reasoning.
Example 1: Describe how to sketch the fourth figure in the pattern. Then sketch the fourth
figure.
Example 2: Describe the pa
Name:_
Date: _
Geometry Notes
2.2 If-Then Statements & Postulates
Objective: To write a statement in if-then form and write its converse, inverse and
contrapositive.
Conditional Statement: a logical statement that has _;
_ and _.
If it is Friday, then the
Name:_
Date: _
Geometry Notes
2.3 Deductive Reasoning
Objective: To apply the laws of logic to make a valid argument through exploring specific
scenarios.
Deductive reasoning: uses _
to form a logical argument.
Laws of Logic:
Law of Detachment:
Law of Syl
Name:_
Date:_
2.4 Using Proof in Algebra
Objective: To write algebraic proofs through solving for a given variable and writing a reason
for each step
Proof: A logical, step-by-step, explanation that shows the truth of a hypothesis guarantees the
truth of
Name:_
Geometry Notes
Date:_
Period: _
3.1 Parallel Lines and Transversals
Objective: To identify the relationships between two lines or between two planes and to name
angles formed by a pair of lines and a transversal through analyzing diagrams.
Parallel
Name:_
Geometry Notes
Date:_
Period: _
3.2 Angles and Parallel Lines
Objective: To discover properties of parallel lines through measuring angles and use the
properties to find missing angle measures and variables.
Step 1: Draw two parallel lines on the c
Name:_
Geometry Notes
Date:_
Period: _
3.4 Proving Lines Parallel
Objective: To recognize angle conditions that produce parallel lines and use the angle
relationships to prove that lines are parallel and solve for missing variables.
_Angles Converse:
If t
Name:_
Geometry 3.3 Notes
Date:_
Period: _
3.3 Slopes of Lines
Objective: To find the slopes of lines through applying the slope formula and to use slope to
identify parallel and perpendicular lines.
Slopes of Lines:
Slope Formula:
Positive Slope:
Negativ