Australian Curriculum
1.1.1: Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies
1.2.1: Factorise algebraic expressions by taking out a common algebraic factor
1.2.2: Simplify algebraic products and quotients using index laws
Dividing Exponential Expressions
Multiplying Exponential Expressions
Simplifying Algebraic Expressions II
1.2.4: Expand binomial products and factorise monic quadratic expressions using a variety of strategies
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
Quadratics in Factored Form
1.3.1: Solve problems involving linear equations, including those derived from formulas
Absolute Value with Linear Functions
Linear Functions
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Equations by Graphing Each Side
Solving Two-Step Equations
Standard Form of a Line
1.3.2: Solve linear inequalities and graph their solutions on a number line
Compound Inequalities
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable
1.3.3: Solve linear simultaneous equations, using algebraic and graphical techniques including using digital technology
Cat and Mouse (Modeling with Linear Systems)
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)
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
2.1.1: Solve problems involving surface area and volume for a range of prisms, cylinders and composite solids
Prisms and Cylinders
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones
2.2.1: Formulate proofs involving congruent triangles and angle properties
Congruence in Right Triangles
Proving Triangles Congruent
2.2.2: Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes
2.3.1: Solve right-angled triangle problems including those involving direction and angles of elevation and depression
Sine, Cosine, and Tangent Ratios
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
Probability Simulations
Theoretical and Experimental Probability
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
3.2.1: Determine quartiles and interquartile range
3.2.2: Construct and interpret box plots and use them to compare data sets
Box-and-Whisker Plots
Stem-and-Leaf Plots
3.2.6: Evaluate statistical reports in the media and other places by linking claims to displays, statistics and representative data
Box-and-Whisker Plots
Correlation
Polling: City
Polling: Neighborhood
Real-Time Histogram
Stem-and-Leaf Plots
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.