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
Classif
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:
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 ind
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
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 i
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 diagra
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.
Examp
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 radic
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 D
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