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Applications of Measurement

Eddie Woo via YouTube

Overview

This course covers the applications of measurement, focusing on topics such as scientific notation, significant figures, metric units of measurement, errors in measurement, rounding and approximation, perimeter, area, volume, surface area, and interpreting real-world measurements like electricity bills and water collection. The course aims to teach students how to apply mathematical concepts to practical scenarios, improve their measurement skills, and enhance their ability to interpret and analyze data accurately. The intended audience for this course includes learners interested in mathematics, science, engineering, or any field that requires precise measurements and calculations. The teaching method involves a combination of theoretical explanations, worked examples, and practice questions to reinforce learning and application of measurement concepts.

Syllabus

The Unitary Method.
Scientific (Standard) Notation (1 of 2: Simplifying large numbers with scientific notation).
Significant Figures (1 of 2: Introduction to significant figures as an approximation tool).
Significant Figures (2 of 2: Determining the most significant number).
Metric Units of Measurement (1 of 3: Overview of various metric units).
Rounding and Approximation (Reviewing Significant Figures).
Scientific Notation (2 of 2: Role of the Scientific Calculator in Scientific Notation).
Metric Units of Measurement (2 of 3: Different prefixes and their respective positions).
Metric Units of Measurement (3 of 3: Converting between lengths and areas).
Errors in Measurement (1 of 2: Reviewing significant figures and unit conversion).
Errors in Measurement (2 of 2: Outline of Start & Scale errors and Instrument Limitations).
Limit of Reading (Rounding to an accuracy within the limit of reading).
Errors in Measurement II (1 of 2: Introduction to Percentage Errors and an Introductory Example).
Errors in Measurement II (2 of 2: Working with Ranges when Combining measurements).
Rounding and Approximation (1 of 2: Reviewing Rounding).
Rounding and Approximation (2 of 2: Reviewing Unit Conversions).
General 2 Quiz (1 of 2: Algebra Manipulation, Scientific Notation & Percentage & Absolute Error).
Perimeter (1 of 2: Properties of a Circle & the Circumference and area formulae).
Perimeter (2 of 2: Calculating the Perimeter of shapes with circular curvature).
Area (1 of 4: Reviewing Perimeter questions).
Area (2 of 4: Formulas for area of Rectangles, Parallelograms and Triangles and how they are formed).
Area (3 of 4: Formula for area of Kites, Rhombuses and Trapeziums and how they are formed).
Area (4 of 4: Formula for the area of a circle and how it is formed).
Composite Areas (1 of 2: Reviewing Unit Conversions).
Composite Areas (2 of 2: Finding the areas of composite shapes by slicing into rectangular slices).
Volume vs Capacity (2 of 2: Finding the Volume of the prism of a composite area).
Volumes vs Capacity (1 of 2: Introduction to Prisms, finding the cross sectional area and volume).
Mathematics General Review Questions (Rates, Ratios & Equations).
Finding Sides of Similar Things (1 of 2: Similar Figures & finding corresponding lengths).
Finding Sides of Similar Things (2 of 2: Using Pronumerals to find the length of a similar shape).
Similar Objects (Using a ratio to find an unknown length of a similar object).
Using Multiplication and Division to convert from larger units to smaller units and vice versa.
Area Conversion (Introduction to the conversion between area units).
Review of Perimeter measurements.
Volume and Capacity (Converting between units of volume).
Review Quiz (Phone Charges, Ceiling Functions, Significant Figures & Data).
Surface Area of a Cylinder (Using a net to visualise and calculate the surface area of a cylinder).
Surface Area of Spheres (1 of 2: Finding the Surface area of spheres and hemispheres).
Surface Area of Spheres (2 of 2: Converting area from Square centimetres and metres).
Reviewing Fractional Algebra and Volume & Surface Area.
Review: Accuracy of Measurement (Defining and applying accuracy of measurement).
Surface Area of a Prism (1 of 2: Introduction).
Surface Area of a Prism (2 of 2: Example question).
Surface Area of a Cylinder.
Surface Area of a Pyramid (1 of 2: Visualising the surfaces).
Surface Area of a Pyramid (2 of 2: Example question).
Surface Area of a Cone (2 of 2: Deriving the formula).
Surface Area of Composite Solids (1 of 2: Overall principles).
Surface Area of Composite Solids (2 of 2: Example question).
Volumes of Prisms & Cylinders.
Water Collection (1 of 2: Why do we measure rain in millimetres?).
Water Collection (2 of 2: Example question).
Interpreting Electricity Bills (1 of 3: Reading rates & costs).
Interpreting Electricity Bills (2 of 3: Understanding usage trends).
Interpreting Electricity Bills (3 of 3: Working & calculations).

Taught by

Eddie Woo

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