Mr. Betz's Course Website!!!

Mr. Betz's Course Website!!!

After School Tutoring:

Tuesday 4:15 - 5:15

Wednesday: 4:15 - 5:15

Thursday: 4:15 - 5:15

Introduction:

A great mathematician and philosopher, Archimedes, once said: "give me a place to stand and I will move the Earth." Mathematics is just this, a solid footing for the foundation of knowledge. Math can sometimes seem like a haphazard collection of numbers, letters and symbols, and this couldn't be further from the truth. Mathematics is a discipline that, when mastered, can be exploited to provide analyses of the past, predictions into the future and a logical methodology by which to structure an argument. I hope, in addition to mastering the standard curriculum, we can work towards slowly removing the filter over nature's image and discover the power of undeniable truths. I look forward to getting to know each and every one of you; and remember, the only thing you truly own is what you know!

Course Objectives:

Objective 1: Ratios and Proportions

Analyze proportional relationships and use them to solve real-world and mathematical problems.

MAFS.7.RP.1.1

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

MAFS.7.RP.1.2

Recognize and represent proportional relationships between quantities

(a)

Decide whether two quantities are in a proportional relationship, e.g., for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

(b)

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams and verbal descriptions of proportional relationships.

(c)

Represent proportional relationships by equations.

(d)

Exaplin what a point (x,y) on a graph of a proportional relationship means in terms of the situations, with special attention to the points (0,0) and (1,r) where r is the unit rate.

MAFS.7.RP.1.3

Use proportional relationships to solve multistep ratio and percent problems.

Objective 2: Rational Numbers

Apply and extend previous understandings of operations with fractions to add, subtract, multiply and divide rational numbers.

MAFS.7.NS.1.1

Represent addition and subtraction on a vertical or horizontal number line diagram.

(a)

Describe situations in which opposite quantities combine to make 0.

(b)

Understand p+q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a

number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

(c)

Understand subtraction of rational numbers as adding the additive inverse, p-q = p+(-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

(d)

Apply properties of operations as strategies to add and subtract rational numbers.

MAFS.7.NS.1.2

Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers.

(a)

Understand that multiplication is extended from fractions to rational numbers by requiring that operations continur to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

(b)

Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number if p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.

(c)

Apply properties of operations as strategies to multiply and divide rational numbers.

(d)

Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

MAFS.7.NS.1.3

Solve real-world and mathematical problems involving the four operations with rational numbers.

Course Description:

~ Chapter 1: Ratios and Proportional Reasoning

~ Chapter 2: Percents

~ Chapter 3: Integers

~ Chapter 4: Rational Numbers

~ Chapter 5: Expressions

~ Chapter 6: Equations and Inequalities

~ Chapter 7: Geometric Figures

~ Chapter 8: Measure Figures

~ Chapter 9: Probability

~ Chapter 10: Statistics

Materials: (Textbook: Larson, Ron; Laurie Boswell (2010), *Big Ideas Math*)

1) 3-Ring Binder

2) Pencils (at least 2 sharpened everyday)

3) Basic calculator

4) Three-prong folder

5) Your BRAIN! :)

Grading Policy:

~ Math Literacy 10%

~ Homework 15%

~ Quizzes 25%

~ Tests/Projects 50%

Late Policy: (Late assignments can be made up until the chapter test,

after the chapter test the grade will stand at a 0%)

~ 100% if completed on time with sunbstantial effort shown

~ 50% if assignment is late

~ 0% if the assignment is not completed or poorly done

Behavior Policy:

- Be in your seat when the bell rings and begin on the bell work,.

- Three Oaks Middle School's behavior/consequence policy will be upheld

as stated in your agenda.

- When we form discussion groups there WILL be differences of opinion,

THAT'S THE POINT!We will always be respectful when debating

intellectual issues and judge arguments *solely* on the basis of logic and reason.

- In other words, USE COMMON SENSE! If you wouldn't like it being said about

or done to you, uhhh... don't say/do it to anyone else.

- Remember: school is a place to work hard and learn much, but that doesn't mean

we can't have fun! There is a time to work and a time to play; as long as we

know which to place first, we'll have an AWESOME year!!!

Just so ya know...

- I will be available after school for one hour on Tuesdays, Wednesdays and Thursdays for

math tutoring Also, I am usually in my room 30 minutes before and after class,

so stop in if you have any questions or concerns.

- My favorite book: *The Holographic Universe *(by: Michael Talbot)

- Second favorite subject: Philosophy

- Hobbies: practicing the piano and trying to grasp the fabric of reality, haha...

Have an idea for my website? Send me an email!