### 1: Number and Algebra

#### 1.1: Money and financial mathematics

1.1.1: Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies

#### 1.2: Patterns and algebra

1.2.1: Factorise algebraic expressions by taking out a common algebraic factor

1.2.2: Simplify algebraic products and quotients using index laws

1.2.4: Expand binomial products and factorise monic quadratic expressions using a variety of strategies

#### 1.3: Linear and non-linear relationships

1.3.1: Solve problems involving linear equations, including those derived from formulas

1.3.2: Solve linear inequalities and graph their solutions on a number line

1.3.3: Solve linear simultaneous equations, using algebraic and graphical techniques including using digital technology

1.3.5: Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate

1.3.7: Solve simple quadratic equations using a range of strategies

### 2: Measurement and Geometry

#### 2.1: Using units of measurement

2.1.1: Solve problems involving surface area and volume for a range of prisms, cylinders and composite solids

#### 2.2: Geometric reasoning

2.2.1: Formulate proofs involving congruent triangles and angle properties

2.2.2: Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes

#### 2.3: Pythagoras and trigonometry

2.3.1: Solve right-angled triangle problems including those involving direction and angles of elevation and depression

### 3: Statistics and Probability

#### 3.1: Chance

3.1.1: Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence

3.1.2: Use the language of ?if...then, ?given?, ?of?, ?knowing that? to investigate conditional statements and identify common mistakes in interpreting such language

#### 3.2: Data representation and interpretation

3.2.1: Determine quartiles and interquartile range

3.2.2: Construct and interpret box plots and use them to compare data sets

3.2.6: Evaluate statistical reports in the media and other places by linking claims to displays, statistics and representative data

Correlation last revised: 9/16/2020

* Copyright 2010 National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

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