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