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RATIOS

Home > My Courses > HSC Year 12 Mathematics Standard 2 – Measurement > RATIOS
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HSC Year 12 Mathematics Standard 2 - Measurement

NON-RIGHT ANGLED TRIANGLES
Area of Triangles using Sides and Angles
  • Video – Area of a Triangle Formula (3:18)
  • Video – Compound Uses of Area of a Triangle Formula (6:24)
  • Video – Area of a Triangle involving Obtuse Angle (3:53)
  • Video – Area of Triangle Formula (8:31)
  • Video – Area of Triangle involving Parallelograms & Kites (4:52)
Sine Rule
  • Video – Finding Sides using Sine Rule (6:42)
  • Video – Finding Angles using Sine Rule (4:24)
  • Video – Sine Rule for Finding Sides (7:02)
  • Video – Sine Rule for Finding Angles (6:06)
  • Video – Sine Rule with Obtuse Angles (3:47)
  • Video – Sine Rule Formula (2:49)
  • Video – Finding Unknown Sides using Sine Rule (6:53)
Applications of Sine Rule
  • Video – Sine Rule in Triangular Fields (5:27)
  • Video – Sine Rule involving Acute and Obtuse Angle Bearings (5:45)
  • Video – Sine Rule in Isosceles Triangles (2:29)
  • Video – Sine Rule involving Reflex Angle Bearings (4:59)
  • Video – Finding Partial Lengths using Sine Rule (4:31)
  • Video – Sine Rule Applications (7:34)
  • Video – Sine Rule involving Similar Triangles (3:02)
Cosine Rule
  • Video – Finding Sides using Cosine Rule (9:20)
  • Video – Formula for Angles using Cosine Rule (3:40)
  • Video – Finding Angles using Cosine Rule (7:44)
  • Video – Cosine Rule for Finding Sides (7:22)
  • Video – Cosine Rule for Finding Angles (4:08)
  • Video – Cosine Rule Formula (3:23)
  • Video – Find Sides using Cosine Rule (6:17)
  • Video – Cosine Rule Formula for Finding Angles (4:04)
  • Video – Calculating Angles using Cosine Rule (4:05)
  • Video – The Smallest and Largest Angles using Cosine Rule (4:15)
Applications of Cosine Rule
  • Video – Smallest and Largest Angles using Cosine Rule (4:47)
  • Video – Cosine Rule involving Sine Rule (4:01)
  • Video – Cosine Rule involving Reflex Angle Bearings (6:37)
  • Video – Cosine Rule involving Obtuse Angle Bearing (5:57)
  • Video – Cosine Rule involving Pythagoras (2:06)
  • Video – Finding Sides and Angles using Cosine Rule (2:38)
  • Video – Finding Area of a Triangle using Cosine Rule (2:35)
  • Video – Cosine Rule involving Bearings (9:16)
TRIGONOMETRY
Four Quadrants in a Circle
  • Video – Angles in any Magnitude (5:11)
  • Video – Identifying Positive or Negative in Quadrants (5:44)
  • Video – Identifying Acute or Obtuse Angles in Quadrants (5:02)
  • Video – Exact Values of Cosine Ratio for Negative Angles (0:33)
  • Video – Exact Values of Tangent Ratio for Negative Angles (3:46)
  • Video – Exact Values of Sine Ratio for Negative Angles (0:53)
  • Video – Exact Values of Sine Ratio for Angles Greater Than 360 Degrees (1:26)
  • Video – Exact Values of Cosine Ratio for Angles Greater Than 360 Degrees (1:31)
  • Video – Exact Values of Tangent Ratio for Angles Greater Than 360 Degrees (0:59)
Labelling Right-Angled Triangles
  • Video – Labelling Right Angled Triangles (4:20)
  • Topic – Naming Sides of Right-Angled Triangles
  • Topic – Naming Sides and Angle of Right-Angled Triangles
  • Topic – True or False of Naming Sides
Trigonometric Ratios in Right-Angled Triangles
  • Video – Finding Trigonometric Ratios (5:50)
  • Topic – Definition of Trigonometric Ratios
  • Topic – Definition of Sine Ratio
  • Topic – Definition of Cosine Ratio
  • Topic – Definition of Tangent Ratio
Finding Sides
  • Video – Finding Sides (5:24)
  • Video – Understanding of Finding Sides using Sine (6:04)
  • Video – Finding Sides using Sine (6:04)
  • Video – Understanding of Finding Sides using Cosine (2:26)
  • Video – Finding Sides using Cosine (5:16)
  • Video – Finding Sides using Tangent (4:55)
  • Video – Finding Sides Associated with Non-Right Angle using Tangent (5:45)
Finding Angles
  • Video – Finding Angles (4:35)
  • Video – Finding Angles in Right-Angled Triangles using Sine (4:08)
  • Video – Finding Angles in Right-Angled Triangles using Cosine (0:50)
  • Video – Finding Angles in Right-Angled Triangles using Tangent (1:03)
  • Topic – Find Angles from Sine Ratio Correcting to the Nearest Degree
  • Topic – Find Angles from Sine Ratio Correcting to the Nearest Minute
  • Topic – Find Angles from Cosine Ratio Correcting to the Nearest Degree
  • Topic – Find Angles from Cosine Ratio Correcting to the Nearest Minute
  • Topic – Find Angles from Tangent Ratio Correcting to the Nearest Degree
  • Topic – Find Angles from Tangent Ratio Correcting to the Nearest Minute
Compass Bearings
  • Video – Definition of Compass Bearing (2:46)
  • Video – State the Compass Bearing (6:19)
  • Video – Sketching Compass Bearing (1:38)
  • Video – Finding Compass Bearing (4:10)
  • Video – Distance using Compass Bearing (3:33)
True Bearings
  • Video – State the True Bearing (5:30)
  • Video – Sketching True Bearing (1:54)
  • Video – Finding True Bearing (4:27)
  • Video – Distance using True Bearing (6:28)
  • Video – Understanding of Bearing (4:29)
  • Video – Sketching Diagrams using Bearing (3:33)
  • Video – Finding the Bearing (8:56)
  • Video – Finding the Distances using Bearing (4:49)
Angles of Elevation and Angle of Depression
  • Video – Angles of Elevation 1 (4:07)
  • Video – Angles of Elevation 2 (2:48)
  • Video – Angles of Elevation 3 (4:44)
  • Video – Angles of Depression (2:25)
  • Topic – Angles of Elevation by Sine Ratio
  • Topic – Angles of Elevation by Cosine Ratio
  • Topic – Angles of Elevation by Tangent Ratio
  • Topic – Angles of Depression by Sine Ratio 1
  • Topic – Angles of Depression by Sine Ratio 2
  • Topic – Angles of Depression by Sine Ratio 3
  • Topic – Angles of Depression by Sine Ratio 4
  • Topic – Angles of Depression by Cosine Ratio 1
  • Topic – Angles of Depression by Cosine Ratio 2
  • Topic – Angles of Depression by Cosine Ratio 3
  • Topic – Angles of Depression by Cosine Ratio 4
  • Topic – Angles of Depression by Tangent Ratio 1
  • Topic – Angles of Depression by Tangent Ratio 2
  • Topic – Angles of Depression by Tangent Ratio 3
  • Topic – Angles of Depression by Tangent Ratio 4
Problem Solving with Pythagoras' Theorem
  • Video – Applications of Areas (9:00)
  • Video – Sides of Three Triangles by Pythagoras Theorem (4:06)
  • Video – Composite Shape involving Pythagoras’ Theorem (3:58)
  • Topic – Sides of Three Right-Angled Triangles
Radial Survey
  • Video – Radial Survey involving Area using Sine Rule (4:13)
  • Video – Radical Survey involving Perimeter using Cosine Rule (8:46)
RATES
Understanding Rates
  • Video – Simplified Rate (3:05)
  • Video – Speed as Rates (6:26)
  • Topic – Quantities & Units of Rate
  • Topic – Corresponding Rates & Situations
  • Topic – Rates in Simplest Form involving Area and Volume
  • Topic – Rates in Simplest Form involving Distance
  • Topic – Rates in Simplest Form involving Capacity
  • Topic – Rates in Simplest Form involving Mass
  • Topic – Rates in Simplest Form involving Money
  • Topic – Rates in Simplest Form involving Numbers
  • Topic – Evaluating Quantities upon Unit Rates
  • Topic – Evaluating Quantities upon Compound Rates
  • Topic – Comparison using Rates
Application of Rates
  • Video – Rates Problems 1 (6:01)
  • Video – Rates Problems 2 (6:01)
  • Video – Distance Travelled (6:32)
  • Video – Finding Times (3:49)
Speed
  • Video – Understanding Speed 1 (4:43)
  • Video – Understanding Speed 2 (3:50)
  • Topic – Speed by Hours
  • Topic – Speed by Minutes
  • Topic – Speed by Hours and Minutes
  • Topic – km/h to m/s
  • Topic – m/s to km/h
  • Topic – Determine Faster Speed
  • Topic – Distance by Speed and Hours
  • Topic – Distance by Speed, Hours and Minutes
  • Topic – Hours by Distance and Speed
  • Topic – Hours and Minutes by Distance and Speed
RATIOS
Introduction to Ratios
  • Video – Finding Ratios (4:26)
  • Video – Ratio Problems (4:00)
  • Video – Understanding Ratio (5:54)
  • Video – Understanding Ratio involving Square Units (3:16)
  • Video – Understanding Ratio involving Cube Units (2:20)
Simplifying Ratios
  • Video – Equivalent Ratios (4:28)
  • Video – Simplifying Ratios (1:32)
  • Video – Simplifying Ratios with Fractions & Decimals (4:23)
  • Video – Simplifying Ratios in Different Units (2:39)
  • Topic – Express Ratio in Simplest Form 1
  • Topic – Express Ratio in Simplest Form 2
  • Topic – Equivalent Ratios by Patterns
  • Topic – Simplest Ratios in Same Units
  • Topic – Simplest Ratios in Different Units: Length
  • Topic – Simplest Ratios in Different Units: Currency
  • Topic – Simplest Ratios in Different Units: Volume
  • Topic – Simplest Ratios in Different Units: Time
  • Topic – Simplest Ratios in Different Units: Mass
  • Topic – Simplest Ratios in Fractions
Proportion
  • Video – Direct Proportion (5:30)
  • Video – Direct Proportion with Graphs (7:41)
  • Video – Inverse Proportion (5:42)
  • Video – Inverse Proportion using Tables (3:29)
  • Topic – Basic Direct Proportion
  • Topic – Direct Proportion: Maps
Increasing and Decreasing in a Given Ratio
  • Video – Increasing Ratios (3:55)
  • Video – Decreasing Ratios (4:58)
  • Topic – Increasing or Decreasing
  • Topic – Increasing in Ratio
  • Topic – Decreasing in Ratio
  • Topic – Increasing by Fractions
  • Topic – Increasing by Multiple Fractions
  • Topic – Decreasing by Fractions
  • Topic – Decreasing by Multiple Fractions
Dividing a Quantity in a Given Ratio
  • Video – Dividing Quantity in Given Ratio (3:34)
  • Video – Theory of Divisions using Ratio (2:55)
  • Video – Divisions using Ratio (3:35)
  • Video – Finding Divided Ratios 1 (3:44)
  • Video – Finding Divided Ratios 2 (2:26)
  • Video – Finding Divided Ratios 3 (2:55)
  • Topic – Dividing in a Given Ratio by Two Parts 1
  • Topic – Dividing in a Given Ratio by Two Parts 2
  • Topic – Dividing in a Given Ratio by Three Parts 1
  • Topic – Dividing in a Given Ratio by Three Parts 2
  • Topic – Three Angles in a Triangle
Finding Values from Ratio
  • Video – Finding Unknown Values of Ratio through Fractions (6:16)
  • Video – Finding Unknown Values of Ratio through Ratio Form (7:36)
  • Topic – Unitary Method 1
  • Topic – Unitary Method 2
  • Topic – Unitary Method 3
  • Topic – Unitary Method 4
Concentrations
  • Video – Scale Ratios (3:00)
  • Video – Concentrations using Ratio (6:10)
  • Topic – Concentrations: Volume per Weight
  • Topic – Concentrations: Weight per Weight
  • Topic – Concentrations: Weight per Volume
  • Topic – Concentrations: Volume per Volume
  • Topic – Percentage Concentrations
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