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 Drills: CalcuLadders
q Check Assignment: Exercises 5-4
q Check Assignment: Exercises 5-5
q Discussion: (5-6) Pyramids and Prisms
q Discussion: Chapter 5 Review Symmetry and Regular Figures
q Drills: CalcuLadders
q
q Exercises: Ch 5-6: Set II 1-10 (due Thursday, 1/17)
q
q Exercises:
Ch 5 Summary and Review: Set I 1-15;
Set II 1-18
(due
Thursday, 1/17)
q Drills: CalcuLadders
q Check Assignment: Exercises 5-6
q Check Assignment: Summary and Review Exercises
q Discussion: Chapter 5 Review Symmetry and Regular Figures
q Exercises: Chapter 5 Test (handout) (due Tuesday, 1/22)
o This test is to be taken closed-book and individually.
q Drills: CalcuLadders
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 Things you can go over to review and prepare
for the Semester Final (next week):
o Tests, Home Exercises, Summary & Review
(end of each chapter)
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