## Unit description of WACE Maths Applications Unit 1 Year 11 ATAR Course

WACE Maths Applications Unit 1 Year 11 ATAR Course has three topics:

- Consumer arithmetic,
- Algebra and matrices, and
- Shape and measurement.

**Consumer arithmetic** reviews the concepts of rate and percentage change in the context of earning and managing money and provides a fertile ground for the use of spread sheets.

**Algebra and matrices** continues the Year 7–10 curriculum study of algebra and introduces the topic of matrices. The emphasis of this topic is the symbolic representation and manipulation of information from real-life contexts using algebra and matrices.

**Shape and measurement** builds on and extends the knowledge and skills students developed in the Year 7–10 curriculum with the concept of similarity and associated calculations involving simple geometric shapes. The emphasis in this topic is on applying these skills in a range of practical contexts, including those involving three-dimensional shapes. Classroom access to the technology necessary to support the computational aspects of the topics in this unit is assumed.

## Learning outcomes of WACE Maths Applications Unit 1 Year 11 ATAR Course

By the end of this unit, students:

- understand the concepts and techniques in consumer arithmetic , algebra and matrices, and shape and measurement
- apply reasoning skills and solve practical problems in consumer arithmetic, algebra and matrices, and shape and easurement
- communicate their arguments and strategies when solving problems using appropriate mathematical language
- interpret mathematical information and ascertain the reasonableness of their solutions to problems
- choose and use technology appropriately and efficiently.

*referred from Mathematics Applications ATAR Course Year 11 Syllabus Western Australia School Curriculum and Standards Authority 1 January 2015*

#### Calculating Percentages

- Percentage of a Quantity
- Expression Amounts as Fractions
- Expressions Amounts as a Percentage
- Percentage Increase
- Percentage Decrease
- Application of Percentage Increase
- Applications of Percentage Decrease
- Profit and Loss
- Percentage Profit
- Percentage Loss
- Percentage Discounts
- Commission
- Commission of a sliding Scale
- Commission with a Retainer
- Commission on Sales above Fixed Amount
- GST Payable
- GST Included

#### Equations

- Basic Linear Equations
- Equations With Pronumerals On Both Sides
- Equations With Grouping Symbols
- Equations With One Fraction
- Equations With More Than One Fractions
- Equations With Pronumerals In The Denominator
- Basic Quadratic Equations
- Number Line
- Simple Inequalities
- Reversing The Inequality Sign
- Inequalities With Fractions
- Number Line With Conditions
- Exponential Equations

#### Finance

- Best Buys
- Currency Exchange
- Salary to Weekly, Fortnightly, Monthly Payments
- Weekly, Fortnightly, Monthly Payments to Salary
- Equivalent Hourly Rate of Pay
- Equivalent Hourly Rate of Wage
- Ordinary Hourly Rate of Pay
- Allowance Payments
- Piecework Payments
- Piecework per Multiple Units
- Comparing Rates
- Overtime Hourly Rate
- Overtime Pay
- Overtime Rates
- Multiple Overtime Rates