Honors Math 2 Unit Outlines: Q1 and Q2
Unit 1: Deductive Geometry – Chapter 6
• Identifying numeric and spatial invariants
• Understand the elements of a direct proof
• Understand the elements of an indirect proof
• Know definition and theorems about special types of angles
o Vertical angles
o Supplementary and complementary angles
• Know important definitions related to triangles
o Equilateral, isosceles, scalene
o Right, acute, obtuse
o Altitude, median, angle bisector, perpendicular bisector
• Prove congruent triangles (SAS, SSS, AAS, ASA, HL)
• Understand relationships between angles and sides of triangles
o Exterior Angle Theorem
o Triangle Angle Sum Theorem
o Triangle Inequality Theorem
o Longer side opposite the larger angle
o Midline Theorem for triangles
• Recall, understand, and know how to apply theorems about:
o Parallel lines and angle measures (AIP, PAI, and corollaries)
o Isosceles triangles
o Perpendicular bisectors
• Know the properties and theorems about the following special quadrilaterals:
o Parallelograms
o Kites
o Trapezoids (including Midline Theorem for Trapezoids)
o Rhombi
o Rectangles
o Squares
• Know how to prove a quadrilateral is a special quad (classifying)
Unit 2: Exponents and Radicals – Chapter 1
• Distinguish between rational and irrational numbers
• Understand the meaning of radicals such as square roots, cube roots, and fourth roots
including the differences between even roots and odd roots
• Know properties of square roots, cube roots, and other radicals, such as:
o
•
•
!
!
!
!
o
𝑥𝑦 = 𝑥 ∙ 𝑦
Express irrational numbers in simplified form and apply conventions of radicals (i.e.,
rationalize denominator and reduced radical form)
Understand and apply the laws of exponents, such as:
o 𝑎! ∙ 𝑎! = 𝑎!!!
!!
•
•
=
o !! = 𝑎!!!
o 𝑎! ! = 𝑎!"
Evaluate expressions with zero, negative, and rational exponents
Solve radical equations and identify extraneous solutions
Honors Math 2 Unit Outlines: Q1 and Q2
Unit 3: Polynomials – Chapters 2
• Adding, subtracting, and multiplying polynomials
• Understand terminology related to polynomials, such as:
o Degree
o Monomial
o Polynomial
o Coefficient
o Normal form
• Factoring quadratics using various method, such as:
o Greatest common factor
o Sum/product monic factoring
o Splitting the middle term
o Z-substitution
o Difference of squares
• Solving a quadratic equation (i.e. find the x-intercepts)
o Calculator
o Graphing
o Factoring (monic and nonmonic)
o Completing the square
o Quadratic formula
• Sum and product of roots: 𝑥 ! − sum of roots 𝑥 + (product of roots
Unit 4: Quadratic Functions – Chapters 3AB
• Finding a quadratic equation from given information:
o Vertex and one other point
o x-intercepts and one other point
o Any three points
• Graphing quadratic functions in normal, vertex, and factored form
• Changing from one form to another:
o Factored to normal (standard)
o Vertex to normal
o Normal to vertex (you need to complete the square)
o Normal to factored (you need to factor)
• Find the vertex of a quadratic function (you should know lots of ways!)
• Solving for the exact answers (in simplified radical form) of a quadratic function
• Deriving the quadratic formula
• Solving application problems
Suggested activities to get started on studying for your cumulative test:
1. Gather old tests, quizzes, and study guides
2. Do new problems from the chapter reviews and chapter tests in the book
3. Re-do problems that have been previous done – but try to use a different method to solve
them. This is especially helpful to do for study guide/review sheet problems or old test
questions.