Study Book Outline and Rubric
1. Chapter vocabulary: definitions, diagrams and examples to help explain [2]
2. Chapter concepts: examples with explanations [4]
3. Corrected Unit Tests [2]
4. Problem Areas – Notes to self – what to watch for [1]
5. Creativity and Organization Style [1]
Unit One: (Chapter 1 and 2)
Inductive and Deductive Reasoning/Properties of Angles and Triangles
Vocabulary: Inductive reasoning, deductive reasoning, conjecture, validity of a conjecture,
counterexample, argument, proof, exterior angles, transversal, converse, corresponding angles, interior
angles, co-interior angles, alternate interior angles, alternate exterior angles, non-adjacent interior
angles, convex polygon
Concepts:

Testing the validity of a conjecture using inductive reasoning

Proving the validity of a conjecture using deductive reasoning

Using a counter example to disprove a conjecture

Properties of parallel lines (p. 78)

Proving lines parallel using deductive proofs

Properties of angles in triangles and other polygons (p. 90, 99)

Proving properties of angles in triangles and other polygons using deductive proofs
Questions from the Chapter Self Test, and Cumulative Review are good ones to use for your examples.
Be sure you are showing your steps clearly
Unit Two: (Chapter 3 and 4)
Acute Triangle Trigonometry/Oblique Triangle Trigonometry
Vocabulary: acute triangle, right triangle, obtuse triangle, obtuse triangle, opposite side, hypotenuse,
adjacent side, reference angle, primary trig ratios, sine law, cosine law, oblique triangle, ambiguous case
of the sine law, altitude, vertices, angle of depression, angle of elevation
Concepts:

Using the sine law to determine side lengths and angle measures in acute triangles

Using the cosine law to determine side lengths and angle measures in acute triangles

Solving problems that can be modeled using acute triangles

Determine what measurements are necessary to solve a triangle using either sine law or the
cosine law.

Using the sine law to determine side lengths and angle measures in obtuse triangles

Using the cosine law to determine side lengths and angle measures in obtuse triangles

Solving problems that can be modeled using obtuse triangles

Recognize how to determine if the measurements will produce a unique triangle
Ideas of Examples to include (do NOT copy examples directly from practice questions – include
questions/ examples you have done on your own).
Use “In Summary” (Boxes)(pgs. 117, 124, 136, 146, 163, 170, 182, 193), the “Self Chapter Test” (pgs. 152
and 198), and “Cumulative Review” (p.206), and “Key Ideas” throughout your chapters to help you
determine what kind of examples you should put in your study book.
Unit Three – (Chapter 5)
Systems of Linear Inequalities
Vocabulary: Linear inequality, solution set, continuous, discrete, slope, y-intercept, solution region, half
plane, boundary line, test point, restrictions, domain, range, systems of linear inequalities, open dot,
solid dot, intersection point, dashed line, solid line, optimization, objective function, constraint, feasible
region, maximize, minimize, optimal point, linear programming
Concepts:

Writing linear inequalities

Writing systems of linear inequalities to solve problems

Graphing systems of linear inequalities

Solving optimization problems using graphing

Writing an objective function

Determining constraints for optimization problems

Determining whether a broken line or solid line, solid dot vs open dot, and what type of shading
is appropriate

Determine Domain and Range for real-world problems

Use context to determine whether data is discrete or continuous
Refer to the “Communication Tips” located throughout the chapter. These are ideas that should be
incorporated into your study book
Unit Four – (Chapter 6)
Quadratic Functions and Equations
Vocabulary: quadratic relation, parabola, symmetry, degree of a quadratic function, standard form,
constant term, vertex, axis of symmetry, maximum value, minimum value, table of values, domain,
range, zeros, roots, x-intercepts, solutions, quadratic equation, non-standard form, real roots, factored
form, vertex form, partial factoring, difference of squares, quadratic formula, inadmissible solution
Concepts:

Determine the y-intercept, axis of symmetry and vertex of a quadratic equation using various
methods

Use partial factoring to determine the vertex of a quadratic equation

Determine the domain and range for a quadratic function

Use a table of values to graph a quadratic function and determine the vertex

Use factoring to determine the x-intercepts(solutions), vertex and axis of symmetry of a
quadratic function

Graph a quadratic equation written in various forms

Determine an equation from the vertex and one other point (vertex form)

Use the quadratic formula to solve a quadratic equation – exact value

Determine the number of roots of a quadratic function

Solve real world problems involving parabolas by using a variety of methods
Refer to the explanations for steps in example solutions located throughout the chapters in the green
boxes. There are examples for all the concepts covered this semester. Use these example explanations
to help you write the instructions for the examples in your study book.
Unit Five
Financial Mathematics
Vocabulary: term, interest, fixed interest rate, principal, simple interest, maturity, future value, rate of
return, compound interest, compounding period, rule of 72, portfolio, collateral, amortization table,
mortgage, line of credit, prime rate, lease, equity, asset, appreciate, depreciate, disposable income
Concepts:

Simple and compound interest (compare)

Future Value, Present Value

Investments and Portfolios

Loans

Credit and Credit Cards

Buy, Rent or Lease (advantages and disadvantages)
Use the Cumulative Review on page 576 for questions to include in your study book.