Calculus Prep: The 30-Minute Trig Essential List скачать в хорошем качестве

Calculus Prep: The 30-Minute Trig Essential List

🎓 ACCESS ALL 15 INDIVIDUAL LESSONS AND PDF GUIDES ON MY WEBSITE: https://www.mathsadviceonyourdevice.c... Unlock the geometric foundations of Calculus. Success in high-level mathematics is built on a mastery of spatial reasoning and trigonometric identities. This 30-minute masterclass is designed for Calculus teachers seeking high-quality classroom resources and students needing a comprehensive prerequisite refresher before diving into limits and derivatives. ► WHY THIS REFRESHER IS ESSENTIAL: 🔹 VISUAL CONCEPTUALIZATION: We move beyond formulas to show WHY the Pythagorean Theorem works using area-based visualizations. 🔹 BRIDGING TO CALCULUS: Transition from static triangles to dynamic change by connecting linear gradients to the Tangent function: laying the groundwork for the derivative. 🔹 SPATIAL MASTERY: Master 2D and 3D distance formulas, essential for optimization problems and multivariable concepts. 🔹 EXACT PRECISION: Learn to work with surds and exact values: a non-negotiable skill for high-level Calculus exams. 🔹 REAL-WORLD MODELING: From navigation bearings to 3D pyramid volumes, we apply SOH-CAH-TOA to complex, multi-step problems. ► WHAT YOU WILL LEARN: 🔹 GEOMETRIC PROOFS: Visualizing area sums and solving for in-circle radii in "simplest triplets." 🔹 3D APPLICATIONS: Calculating the height, volume, and surface area of pyramids using Pythagoras in reverse. 🔹 ADVANCED TRIGONOMETRY: Mastery of the Sine Rule, Cosine Rule, and the Area of a Triangle formula. 🔹 COORDINATE GEOMETRY: How to find angles between intersecting lines using inverse tangents of gradients. 🔹 PROBLEM-SOLVING TACTICS: Breaking down "Double-Triangle" problems (Flagpoles, Summits, and Trees) using simultaneous equations. 🔹Video Chapters🔹 UNIT 1: COORDINATE & 3D GEOMETRY 0:00 - Introduction to Pythagoras Theorem 0:56 - Pythagorean Triplets & Calculation Shortcuts 1:51 - Distance Between Coordinates Formula 3:19 - Distance Formula in 3D Space 4:12 - Volume of a Square-Based Pyramid 5:15 - Surface Area of a Square-Based Pyramid 5:47 - TEACHER RESOURCE: Get the 15 PDF Practice Guides UNIT 2: RIGHT-ANGLED TRIGONOMETRY 6:02 - Trigonometric Ratios: SOH CAH TOA Explained 6:52 - Calculating Missing Lengths in Right Triangles 8:44 - Calculating Missing Angles 9:49 - Angles of Elevation & Real-World Applications 13:32 - Finding the Angle Between a Line and a Plane 15:38 - The Angle Between y=mx+c and the x-axis 17:08 - Finding the Acute Angle Between Straight Lines 18:01 - Writing Trig Ratios in Exact Surd Form UNIT 3: ADVANCED TRIANGLES & NAVIGATION 19:11 - The Sine Rule for Non-Right Triangles 22:14 - The Cosine Rule for Non-Right Triangles 24:35 - Area of a Triangle (1/2 ab sin C Method) 27:28 - Finding the Area of a Quadrilateral 28:18 - Bearings & Navigation in Real-Life Scenarios I have designed this workshop to be modular so you can pick and choose the topics your students need most. 👉 GET THE 15 LESSONS & PDF GUIDES HERE: https://www.mathsadviceonyourdevice.c... If you are an educator, please LIKE and SUBSCRIBE to help these free resources reach more classrooms globally! #Calculus #MathTeacher #Trigonometry #Precalculus #Geometry #MathTutoring #STEM #CalculusFoundations