Grading Scale
Overview of Practical Math Foundations
Tier 1 (Calculator Lessons & Pre-Algebra)
Tier 2 (Basic Algebra, Geometry and Trigonometry)
(2013–2014)
Tutor: TBD
Text: Lessons (with class notes and homework) will be delivered on-line.
Supplies: TI 30XA Scientific Calculator is required and is your indispensable tool!
Prerequisite:
□ Solid background in Arithmetic (Elementary Math)
The purpose of the Foundation Tiers 1 and 2 is to achieve three goals.
1. The student will develop a positive attitude towards math and lose any fear of math.
2. The student will learn the math necessary to solve most of the practical math problems that occur in ordinary real world situations for a good preparation for a technical career.
3. The student will have a solid foundation to proceed in his or her math studies should s/he wish to pursue math for a STEM career.
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While this class is self-paced and students do not move to the next lesson until passing, students will be asked to keep a log of time spent on the on-line program. An “average” student should be able to complete Tier 1 and Tier 2 in one school year.
Syllabus of the Tier 1 includes:
Using a Scientific Calculator
• CI: Introduction
• C1: Basic Operations
• C2: Real Numbers
• C3: Negative Numbers
• C4: Multiply,Divide and Percentage
• C5: Percentage
• C6: Using Memory
• C7: Squares
• C8: Square Roots
• C9: Reciprocals
• C10: Fractions
• C11: Proper and Improper Fractions
• C12: Converting Fractions to Decimals
• C13: Trigonometry Operations
• C14: Using Sine
• C15: Using Cosine
• C16: Using Tangent
Pre-Algebra
• PI: Introduction
• P1: Real Numbers, Integers & Rationals
• P2: The Number Line & Negative Numbers
• P3: Rules of Addition
• P4: Rules of Multiplication
• P5: Distributive Law
• P6: Fractions
• P7: Squares
• P8: Square Roots
• P9: Reciprocals
• P10: Exponents
Syllabus of the Tier 2 includes:
Algebra
• A1: 4 Ways to Solve an Algebra Equation
• A2: The Rule of Algebra
• A3: X + A = B
• A4: AX = B
• A5: AX + B = CS + D
• A6: A/X = B/C
• A7: X squared = A
• A8: Square Root of X = A
• A9: SIN X = A
• A10: COS X = A
Geometry
• G1: What is Geometry?
• G2: Straight Lines and Angles
• G3: Parallel Lines
• G4: Triangle Basics & Sum of Angles
• G5: Rt. Triangles & Pythagorean Theorem
• G6: Similar Triangles
• G7: Quadrilaterals, Polygons and Perimeters
• G8: Area of Triangles and Rectangles
• G9: Formulas for Polygons
• G10: Circles and Circumferences
• G11: Circles and Areas
• G12: Circles and Special Properties
• G13: Surface Areas of Blocks and Cylinders
• G14: Surface Areas of Cones
• G15: Volumes of Blocks and Cylinders
• G16: Volumes of Cones
• G17: Surface Areas of Spheres and Balls
• G18: Archimedes Tombstone, Sphere Area and Volume
• G19: When Geometry isn’t enough for Δs
Trigonometry
• T1: Trigonometry Functions
• T2: Sines
• T3: Cosines
• T4: Tangents
• T5: Warning about SIN-1
• T6: Law of Sines
• T7: Law of Cosines & Gen’l Pythag. Th.
• T8: Trigonometry beyond Practical Math
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