Math Module 4

GEOMETRY: CARTESIAN PLANE

Graphing points on all 4 quadrants of x & y axes

• • 1. Khan Academy: Coordinate Plane (10 videos + 9 practice exercises + 3 articles = 100 minutes)

Understanding x, y, and z axis

• • 1. Next Education India: Introduction to Three Dimensional Geometry (10 minutes)

Graphing points in 3D (x, y, z)

• • 1. The Organic Chemistry Tutor: Plotting Points In a Three Dimensional Coordinate System (8 minutes)

Drawing 2D shapes using incremental/relative Cartesian coordinate system

• • 1. CamInstructor: CNC Lesson-1-Unit-3 (8 minutes)

    2. CamInstructor: CNC Lesson-1-Unit-4 (13 minutes)

    3. CamInstructor: CNC Lesson-1-Unit-7 (15 minutes)

    4. Mrmachiningcnc: Absolute vs Incremental (20 minutes)

GEOMETRY: CIRCLES, POLYGONS & PRISMS

Understanding relationship between circles and angles

• • • Khan Academy: Angles in circles (3 videos + 1 practice exercise + 1 article = 23 minutes)

Calculating radius, diameter, circumference, and area of circles, semicircles, arcs & sectors

• • • Jen Sacklin: Circles: radius, diameter, circumference & area (8 minutes)

    • Jen Sacklin: Circles & Semi-Circles: arcs and sectors (7 minutes)

    • Weld.com: Convert Angular to Linear dimensions (5 minutes)

Calculating perimeter, area, and interior angles of polygons

• • • Adrienne Mitchell: Perimeter (3 minutes)

    • Adrienne Mitchell: Area of L-shaped figure (4 minutes)

Calculating volume and surface area of various 3D shapes

• • • Math Antics: Volume (13 minutes)

    • KSAMathematics: Surface Area of Prisms (9 minutes)

GEOMETRY: TRIANGLES (TRIGONOMETRY)

Understanding and categorizing different kinds of triangles

• • • Don't Memorise: What are the Different Types of Triangles? (4 minutes)

Calculating area of triangles and angles of triangles using knowledge of other interior angles in a triangle

• • • Jen Sacklin: Area & interior angles of triangles (6 minutes)

Calculating angles and sides of similar triangles

• • • Khan Academy: Intro to Similarity (3 videos + 3 practice exercises + 2 articles = 60 minutes)

Calculating sides of right triangles using the Pythagorean Theorem

• • • Khan Academy: Pythagorean Theorem (3 videos + 4 practice exercises + 1 article = 65 minutes)

Using sine, cosine, and tangent functions (SOH CAH TOA) to calculate sides of right-angle triangles

• • • Khan Academy: Solving for a side in a right triangle using the trigonometric ratios (1 video + 1 practice exercise + 1 article = 17 minutes)

Using inverse sine functions to calculate angles of right-angle triangles

• • • Don’t Memorise: Inverse Trigonometric Functions - Introduction (Part 1) - CBSE 12 (4 minutes)

    • Khan Academy: Solving for an angle in a right triangle using the trigonometric ratios (1 practice exercise + 1 article = 10 minutes)

SHOP MATH

Reading graphs, charts & tables

• • • Khan Academy: Analyzing one categorical variable (8 videos + 4 practice exercises + 2 articles = 50 minutes)

    • Khan Academy: Two-way tables (5 videos + 6 practice exercises + 3 articles = 70 minutes)

    • Khan Academy: Line graphs (2 videos = 8 minutes)

Reading scale drawings & Drawing basic 3D shapes in standard 3 views

• • • SCALE PART 1:

      • Math is fun: Definition of a scale drawing (website)

      • Khan Academy: Corresponding parts and scale factors (3 videos + 3 practice exercises = 20 minutes)

      • Khan Academy: The size of the scale factor (1 video + 1 practice exercise = 5 minutes)

      • Khan Academy: Scale Drawings (1 video + 1 practice exercise = 8 minutes)

    • SCALE PART 2:

      • Khan Academy: Interpreting a scale drawing (1 video + 1 article = 10 minutes)

      • Khan Academy: Solving a scale drawing word problem (1 video = 6 minutes)

      • Charles Skeen: Scale on blueprints (1 video = 2 minutes)

      • Mr. T's Math Videos: Scale Model Problems (1 video = 2.5 minutes)

      • Khan Academy: Writing & solving proportions (The first video and the first practice exercise are the most important/useful; feel free to go through the whole playlist if you want, but you don’t have to.)

Reading & designing advanced engineering drawings

• • • Tarkka: Engineering Drawings: How to Make Prints a Machinist Will Love (11 minutes)

    • Tarkka: Fits and Tolerances: How to Design Stuff that Fits Together (6 minutes)

Solving bolt hole problems with trigonometry

• • • Tom Stikkelman: Calculating a bolt hole circle (9 minutes)

TOOLING U LESSONS FOR MATH MODULE 4

1. Geometry Fundamentals for Welding 171

2. Geometry: Triangles 161

3. Geometry: Circles and Polygons 171

4. Trigonometry: The Pythagorean Theorem 201

5. Shop Trig Overview 210

6. Trigonometry: Sine, Cosine, Tangent 211