Verse of the Week
17Therefore,
if anyone is in Christ, he is a new creation; the old has gone, the new has
come! 18All this is from God, who
reconciled us to himself through Christ and gave us the ministry of
reconciliation. 2
Corinthians 5:17-18
q Chapter 5 Test is due today!
q Drills: computation cards
q Discussion: Chapter 1 Review Mathematical Ways of Thinking
q Discussion: Chapter 2 Review Number Sequences
q Discussion: Chapter 3 Review Functions and Their Graphs
q
Things you
can go over to review and prepare for the Semester Final:
o
Tests,
Home Exercises, Summary & Review (end of each chapter)
q Review: Key Concepts from Chapters 1-3 (see other side)
q Review: Jacobs: Chapter 1 (pp. 6-57)
q Review: Jacobs: Chapter 2 (pp. 60-112)
q Review: Jacobs: Chapter 3 (pp. 122-169)
q Test Results: reviewing results of Chapter 5 Test
q Discussion: Chapter 4 Review Large Numbers and Algorithms
q
q Review: Key Concepts from Chapters 4-5 (see other side)
q
q
q Exercises: First Semester Final (handout) (due Tuesday, 1/24)
o This test is to be taken closed-book and individually.
o You may use a calculator to check answers, but show your work!
q Chapter
1 Review Mathematical Ways of Thinking
o Inductive Reasoning (from the particular to the general) - Theories
o Deductive Reasoning (prove conclusively using logic or exhaustive possibilities) - Theorems
q Chapter
2 Review Number Sequences
o Arithmetic Sequences Common Difference (can be positive or negative)
o Geometric Sequences Common Ratio (can be greater than one or less than one)
o Binary Sequence specific case of a geometric sequence
o Power Sequences Squares, Square Roots, Cubes, Cube Roots
o Fibonacci Sequence the Golden Ratio Φ (phi)
q Chapter
3 Review Functions and Their Graphs
o Definition of a Function
§ can be represented by a formula, a table or a graph
o Coordinate Graph (Rene Descartes) (x, y) coordinates
o Functions with line graphs (y = x)
o Functions with curved graphs (y =x2, y = x³, y = 1/x)
o Interpolation and Extrapolation
q Chapter
4 Review Large Numbers and Algorithms
o Exponent Math
§ na · nb = n(a + b)
§ na χ nb = n(a b)
§ (na)b = n(a * b)
§ n0 = 1
o Powers of Ten
§ Multiply by Ten: move decimal point to the right and add a zero
§ Divide by Ten: move decimal point to left and remove if zero
o Names of large numbers
§ million, billion, trillion, quadrillion, quintillion, etc.
o Scientific Notation: a x 10b
§ coefficient a is at least 1 but less than 10
§ exponent b is an integer
o Logarithms shorthand way of multiplying and dividing large numbers using their exponents
§ Binary Logarithms use powers of 2
§ Decimal Logarithms use powers of 10 (convenient when using Scientific Notation)
o Exponential Functions (y = nx)
q Chapter
5 Review Symmetry and Regular Figures
o Line Symmetry, Rotational Symmetry
o Regular Polygons sides are same length, angles are equal
o Mosaics regular, Semiregular
o Regular Polyhedra 5 Platonic Solids
o Semiregular Polyhedra 13 Archimedean Solids
o Pyramids and Prisms
o Eulers
Formula: Faces + Corners = Edges + 2