2.6 Proving Geometric Relationships

EQ: Why can theorems be a great shortcut for other proofs?

Four new theorems and one postulate today. They are the last ones listed under their sections in the handout below. You will get to use a similar handout for the next assessment.

Prep work: p111(3-6, 13-16, 18, 23, 31-36)

Handout: Ch 1/2 Definitions, Postulates, Properties and Theorems

5.2 Mathematical Models in Banking

EQ: What does it mean to compound continuously?

Notes: Continuous Compound Interest formula: A = P e^(r * t)

A = Maturity (total amount P + I) P = Principal r = rate in decimal form

e = Euler’s number (2.718281828…) t = time (years)

Prep work: Textbook: p225(27-30) p216(9-10, 19-22) p267(4-7, 9-13)

Retake Assignment (complete retest by 10/18):

p23(3-8, 17-27) p25(13-15) p47(1-7, 11-16, 21, 22) p49(8-12)

You also must complete at least 50% of the problems from all missing assignments.

2.5 Two Column Proofs

EQ: How can you show your geometric reasoning in a 2-column proof format?

Important gateway between Algebraic properties and Geometric properties is the Definition of Congruence. Additional properties covered include reflexive, symmetric and transitive of congruence for segments and angles.

Prep work: p103(3, 4, 13-15, 23-26)

Retake assignment for Ch. 1 – only for those wanting to retake the Ch. 1 Assessment. You also need to complete a majority of the problems on any missing assignment. Retake must be done by Friday, Oct. 18th.

5.2 Mathematical Models in Banking

EQ: Is compound interest good or bad?

Notes: Compound Interest formula: M = P (1 + r/n)^(n*t)

M = Maturity (total amount P + I) P = Principal r = rate in decimal form

n = # of compoundings/year t = time (years)

Prep work: Textbook: p225(21-26)

Retake Assignment (complete retest by 10/18):

p23(3-8, 17-27) p25(13-15) p47(1-7, 11-16, 21, 22) p49(8-12)

You also must complete at least 50% of the problems from all missing assignments.

2.4 Algebraic Reasoning

EQ: How can you show your algebraic reasoning in a 2-column proof format?

Review algebraic properties of equality (addition, subtraction, multiplication and division) along with substitution and the distributive property. Additional properties covered include reflexive, symmetric and transitive (for algebraic equations, segments and angles).

Prep work: p96(3-6, 13-14, 19-42, 46-47)

Retake assignment for Ch. 1 – only for those wanting to retake the Ch. 1 Assessment. You also need to complete a majority of the problems on any missing assignment.

18 players competed in 3 quads and a swiss six on September 22nd. October’s winners were: Jack Woo McClain (Q1), Owen Young-Flynn (Q2) and a 3-way tie in Quad #3 between Alan Compton, Jimmy Hicks & McRey Moyer. Kevin McCoy and Sheldon Van Enk tied with 2.5 wins each in the swiss six.

Complete results from the October’s Quads can be found at: NWSRS results

All quads are OSCF qualifiers and NWSRS rated. Quads are also USCF rated when all members of a quad are USCF members.

The next quads are coming up on October 20th from 1:30 to 4:30. Just $10 to enter with the winner of each quad getting $10 and free admission to the next Bethel Quad. Remember if a quad chooses a longer time control, it will likely run later than 4:30.

Send an email to mike.myers@bethel.k12.or.us to reserve a spot. Onsite registration between 12:30 – 1:15.

Click this link for more details on this month’s quad: Bethel Quads flyer

5.2 Mathematical Models in Banking

EQ: What is simple interest?

Notes: I = P r t Interest = Principle * rate * time

Don’t forget rate is always in decimal form, not percent.

Prep work: Textbook: p216(11-14) p225(1-16)

Retake Assignment (complete retest by 10/18):

p23(3-8, 17-27) p25(13-15) p47(1-7, 11-16, 21, 22) p49(8-12)

You also must complete at least 50% of the problems from all missing assignments.

2.3 Postulates and Diagrams

EQ: What can and can’t be assumed in a diagram?

There are seven “new” postulates on p84 in textbook but we already know these from the first chapter. Now they are formally stated for easy reference.

Prep work: p63(1-13) p87(13-24, 31, 34)

Retake assignment for Ch. 1 – only for those wanting to retake the Ch. 1 Assessment. You also need to complete a majority of the problems on any missing assignment.

5.1 Mathematical Models in the Business World

EQ: What does it take for a business to be profitable?

Notes: ME 5-2 notes on Net profit and Depreciation

Prep work: Textbook: p216(15-18, 23, 24)

Retake Assignment: p23(3-8, 17-27) p25(13-15) p47(1-7, 11-16, 21, 22) p49(8-12)

You also must complete at least 50% of the problems from all missing assignments.

2.2 Inductive and Deductive Reasoning

Key terms: conjecture, counterexample, inductive & deductive reasoning

Student Journal: 39-43

Prep work: p80(3-18, 23-26, 31-36)

Retake assignment for Ch. 1 – only for those wanting to retake the Ch. 1 Assessment. You also need to complete a majority of the problems on any missing assignment.