In this course, students will develop the mathematical understanding and skills to solve problems relating to:
- Consumer Arithmetic
- Shape and Measurement
- Linear Equations and Their Graphs
Consumer arithmetic reviews the concepts of rate and percentage change in the context of earning and managing money and provides an opportunity to use spreadsheets. Shape and measurement build on and extend the knowledge and skills students developed in the P–10 Australian Curriculum with the concept of similarity and problems involving simple and compound geometric shapes. Students apply these skills in a range of practical contexts, including those involving three-dimensional shapes. Linear equations and their graphs use linear equations and straight-line graphs, as well as piece-wise linear graphs and step graphs, to model and analyse practical situations.
Source – QCAA General Senior Syllabus 2019
Piecework
- Video - Payments for Piecework (4:22)
- Video - Piecework Payments for Toy Makers (1:44)
- Video - Piecework Payments for Plumbers (2:20)
- Video - Piecework Payments for Real Estate Agents (3:11)
- Video - Piecework (3:20)
- Video - Piecework per Multiple Units (3:45)
- Video - Comparing Rates of Piecework (3:29)
Profit and Loss
- Video - Understanding Profit & Loss (3:46)
- Video - Percentage Profit (7:16)
- Video - Percentage Loss (6:36)
- Video - Selling Price (4:37)
- Video - Cost Price (5:07)
- Video - Calculating Percentage Profit (4:27)
- Video - Calculating Percentage Loss (4:04)
- Video - Finding Profit & Loss (3:41)
- Video - Profit (5:26)
- Video - Retail Price & Wholesale Price (7:11)
Simple Interest or Flat Rate Interest
- Video - Understanding Simple Interest (3:07)
- Video - Calculating Simple Interest (3:20)
- Video - Total Amount including Simple Interest in Years (2:14)
- Video - Total Amount including Simple Interest in Months (2:18)
- Video - Total Amount including Simple Interest in Quarters (2:10)
- Video - Finding the Period of Simple Interest (5:00)
- Video - Finding the Principal of Simple Interest (4:38)
- Video - Finding the Rate of Simple Interest (4:52)
- Video - Applications of Simple Interest (5:45)
- Topic - Calculating Simple Interest for Years
- Topic - Calculating Simple Interest for Years and Months
- Topic - Finding Periods
- Topic - Finding Simple Interest Rates
- Topic - Finding Principals
- Topic - Finding Monthly Instalment given Simple Interest
Simple Interest Applications
- Video - Theory of Total Amount to be Paid (2:53)
- Video - Total Amount to be Paid by Annual Simple Interest (3:25)
- Video - Total Amount to be Paid by Quarterly Simple Interest (1:30)
- Video - Understanding Repayments upon Simple Interest (3:10)
- Video - Repayments Monthly upon Simple Interest (3:12)
- Video - Repayments Weekly upon Simple Interest (3:06)
- Video - Repayments Fortnightly upon Simple Interest (0:55)
- Video - Repayments Quarterly upon Simple Interest (1:08)
- Video - Borrowing Money and Repay in Monthly Instalments (2:12)
Compound Interest Applications
- Video - Investments by Compound Interest (4:32)
- Video - Amount of Interest Earned by Compound Interest (2:17)
- Topic - Compound Interest Applications: Compounded Annually
- Topic - Compound Interest Applications: Compounded Monthly
- Topic - Compound Interest Applications: Interest Earned
- Topic - Compound Interest Applications: Principal Amount
Manipulation of Simple Interest Formula
- Video - Understanding Flat-Rate Interest (3:20)
- Video - Flat-Rate Interest Annually (4:04)
- Video - Flat-Rate Interest Quarterly (4:05)
- Video - Theory of Finding Principals (3:44)
- Video - Finding Principals from Annual Interest (2:24)
- Video - Finding Principals from Quarterly Interest (2:37)
- Video - Theory of Finding Interest Rate (2:20)
- Video - Finding Annual Interest Rate (2:41)
- Video - Finding Quarterly Interest Rate (2:27)
- Video - Theory of Finding Periods (2:13)
- Video - Finding Periods upon Annual Simple Interest (2:32)
- Video - Finding Periods upon Quarterly Simple Interest (2:20)
Currency Conversions
- Video - Understanding Currency Exchange (5:31)
- Video - Working with Currency Exchange Table (7:47)
- Video - Applications of Currency Exchange (5:12)
- Video - Exchanges between Three Currencies (6:30)
- Video - Currency Exchange Rate (6:50)
- Video - Converting Foreign Currencies (10:31)
- Topic - Currency Conversions using Unit Currencies
- Topic - Currency Conversions using Reverse Unit Currencies
- Topic - Currency Conversions using Non-Unit Currencies
- Topic - Currency Conversions using Three Currencies
Shares
- Topic - Calculating Cost of Shares including GST
- Topic - Calculating Cost of Shares plus GST
- Topic - Calculating Cost of Shares plus Varying Brokerage Fees 1
- Topic - Calculating Cost of Shares plus Varying Brokerage Fees 2
- Topic - Selling Shares in Brokerage Rates
- Topic - Selling Shares in Flat Brokerages
- Topic - Calculating Minimum Brokerage Fees
Perimeter Formula
- Video - Finding Perimeters (7:09)
- Video - Perimeters of Basic Shapes (2:55)
- Video - Perimeters of Composite Shapes (2:03)
- Video - Perimeters of Various Geometric Figures (3:41)
- Video - Perimeters of Variant of Quadrilaterals (3:41)
- Topic - Perimeter of Triangles
- Topic - Perimeter of Quadrilaterals
- Topic - Perimeter of Composite Shapes
Applications of Perimeter
- Video - Applications of Perimeter (5:00)
- Video - Calculating Perimeters (3:20)
- Video - Perimeters of Triangles by Pythagoras Theorems (6:52)
- Video - Perimeters of Quadrilaterals by Pythagoras Theorem (3:12)
- Topic - Perimeter involving Pythagoras' Theorem
- Topic - Sides using Pythagoras' Theorem and Perimeters
Area of Triangles using Heights
- Video - Understanding Area of Triangles (3:21)
- Video - Area of Basic Triangles (2:29)
- Video - Heights for Area of Triangles (3:55)
- Video - Finding Unknown Values of Triangles using Areas (1:44)
- Topic - Area of Triangles Formula
- Topic - Finding Heights and Bases of Triangles
- Topic - Area of Right-Angled Triangles
- Topic - Area of Isosceles Triangles
- Topic - Area of Equilateral Triangles
- Topic - Mixed Questions of Area of Triangles
Area of Rectangles
- Video - Understanding Area of Rectangles (2:33)
- Video - Area of Basic Rectangles (1:54)
- Video - Unknown Values from Area of Rectangles (1:17)
- Video - Area of Composite Shapes of Rectangles (4:15)
- Video - Area of Squares (6:06)
- Video - Area of a Square (5:14)
- Video - Area of Composite Shapes of Squares (6:32)
- Topic - Area of Rectangles
- Topic - Area of Rectangles involving Pythagoras' Theorem
- Topic - Finding Side Lengths Given Area of Rectangles
- Topic - Area of Rectangles Given Perimeters
- Topic - Area of Composite Rectangles
- Topic - Mixed Questions of Area of Rectangles
- Topic - Finding Area of Squares
- Topic - Area of Squares involving Pythagoras' Theorem
- Topic - Finding Side Lengths Given Area of Squares
- Topic - Area of Composite Squares
- Topic - Area of Squares Given Perimeters
- Topic - Mixed Questions of Area of Squares
Area of Parallelograms
- Video - Understanding Area of Parallelograms (3:01)
- Video - Finding Area of Parallelograms (2:08)
- Video - Finding Heights for Finding Area of Parallelograms (4:26)
- Video - Finding Unknown Values of Parallelograms using Areas (1:17)
- Topic - Area of Parallelograms
- Topic - Area of Parallelograms involving Pythagoras' Theorem
- Topic - Area of Parallelograms involving Perimeters
- Topic - Finding Lengths of Parallelogram given Area
- Topic - Mixed Questions of Area of Parallelograms
Area of Circles
- Video - Area of Basic Circles (6:50)
- Video - Area of Circles and Composite Shapes (7:20)
- Video - Area of Circles (4:49)
- Video - Finding Radius & Diameter given Area of Circles (1:45)
- Video - Area of Circles using Radius (2:34)
- Video - Area of Circles using Diameter (1:36)
- Video - Finding Radius using Area of Circles (2:17)
- Video - Area of Annulus using Radius (4:22)
- Video - Area of Annulus using Diameter (1:39)
- Video - Area of Half Annulus (2:10)
Area of Ellipses
- Video - Area of an Ellipse Formula (2:12)
- Video - Area of an Ellipse (3:47)
- Video - Area involving Ellipse and Circle (2:55)
- Video - Area involving Semi-Ellipse and Rectangle (2:12)
- Video - Area involving Ellipse and Rectangle (1:52)
- Topic - Area of an Ellipse in Exact Value
- Topic - Area of an Ellipse in Approximated Value
- Topic - Area of an Ellipse by Semi Major Axis and Semi Minor Axis
- Topic - Area of an Ellipse by Major Axis and Minor Axis
Volume of Prisms
- Video - Cross Section of a Prism (8:16)
- Video - Volume of a Prism (2:39)
- Video - Volume of a Prism by Finding the Area of Cross Section (5:18)
- Video - Volume of a Composite Prism (7:11)
- Video - Volume of Prisms (8:19)
- Video - Volume of Composite Prisms (6:52)
- Video - Volume of Rectangular Prism (6:42)
- Video - Volume of Triangular Prism (3:36)
Volume of Cylinders
- Video - Volume of a Cylinder (7:57)
- Video - Volume of Composite Cylinders (8:35)
- Topic - Volume of Cylinders given Height and Radius
- Topic - Volume of Cylinders given Height and Diameter
- Topic - Volume of Cylinders given Height and Radius in Different Units
- Topic - Volume of Cylinders given Height and Diameter in Different Units
- Topic - Volume of Cylinders given Height and Radius in Litres
- Topic - Volume of Cylinders given Height and Diameter in Litres
- Topic - Finding Radius given Volume of Cylinders
- Topic - Finding Diameter given Volume of Cylinders
- Topic - Finding Height given Volume of Cylinders
Volume of Pyramids
- Video - Volume of Square Pyramids (0:53)
- Video - Volume of Triangular Pyramids (1:13)
- Video - Volume of Rectangular Pyramid (3:47)
- Video - Volume of Triangular Pyramid (3:16)
- Topic - Volume of Squre Pyramids
- Topic - Height of Squre Pyramids given Volume and Base
- Topic - Base of Squre Pyramids given Volume and Height
- Topic - Volume of Squre Pyramids in Litres
- Topic - Volume of Rectangular Pyramids
- Topic - Height of Rectangular Pyramids given Volume and Base
- Topic - Length of Rectangular Pyramids given Volume and Width
- Topic - Volume of Rectangular Pyramids in Litres
- Topic - Volume of Triangular Pyramids given Base and Height
- Topic - Height of Triangular Pyramids given Volume and Triangle
- Topic - Base Triangles of Triangular Pyramids given Volume and Height
- Topic - Volume of Parallelogram Pyramids