Timing: Approximately 5 weeks You will explore exponent rules as an extension of geometric sequences and the properties of multiplication and division for real numbers. You will make sense of exponent rules and not simply memorise them without understanding how they arise. The series culminates in you investigating how exponential functions can model physical phenomena that exhibit a constant multiplicative growth. Exponential functions are framed as multiplicative analogues of linear functions. Thus, a tight connection will be drawn between these two classes of functions and their shared properties. ENDURING UNDERSTANDIGNS You will understand that ... - Properties of exponents are derived from the properties of multiplication and division. - An exponential function has constant multiplicative growth or decay. - Exponential functions can be used to model contextual scenarios that involve constant multiplicative growth or decay. - Graphs and tables can be used to estimate the solution to an equation that involves exponential expressions. KEY CONCEPTS - 1: Exponent rules and properties - 2: Roots of real numbers - 3: Sequences with multiplicative patterns - 4: Exponential growth and decay

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A 1:1 series between Jeremy L and Lismely G. We'll be focusing on composing functions.

Timing: Approximately 9 weeks In this series, you will develop a strong foundation in the concept of quadratic functions. You will understand that quadratic functions have a linear rate of change and are often formed by multiplying two linear expressions, and therefore not linear. Quadratic functions are useful for modelling phenomena that have a linear rate of change and symmetry around a unique minimum or maximum. This foundational understanding of quadratics helps you build your conceptual knowledge of nonlinear functions and prepares you for further study of polynomial and rational functions in Algebra 2. ENDURING UNDERSTANDINGS You will understand that ... - Quadratic functions have a linear rate of change. - Quadratic functions can be expressed as a product of linear factors. - Quadratic functions can be used to model scenarios that involve a linear rate of change and symmetry around a unique minimum or maximum. - Every quadratic equation, , where is not zero, has at most two real solutions. These solutions can be determined using the quadratic formula. KEY CONCEPTS - 1: Functions with a linear rate of change - 2: The algebra and geometry of quadratic functions - 3: Solving quadratic equations - 4: Modelling with quadratic functions

A 1:1 series between Jeremy L and Rosie L. We'll be focusing on algebra.

Timing: Approximately 5 weeks Across this series, you are asked to solve systems of equations in support of two goals: to determine the solution to the system of equations and to become strategic and efficient in choosing a method to solve the system. You use systems of linear equations and systems of linear inequalities to model physical phenomena, especially those with multiple constraints where an optimal solution to an objective function is desired. Through these contexts, you build upon your prior knowledge of solving systems of equations and develop more sophisticated understandings about what the solution(s) to a system means in the context of the problem. ENDURING UNDERSTANDINGS You will understand that ... - A solution to a system of linear equations or inequalities is an ordered pair of numbers that satisfies all the equations or inequalities simultaneously. - Solving a system of linear inequalities or inequalities is a process of determining the value or values that make the equation or inequality true. - Systems of linear equations or inequalities can be used to model scenarios that include multiple constraints, such as resource limitations, goals, comparisons, and tolerances. KEY CONCEPTS - 1: The solution to a system of equation - 2: Solving a system of linear equations algebraically - 3: Modelling with systems of linear equations - 4: Systems of linear inequalities

A 1:1 series between Jeremy L and Abigail N. We'll be focusing on select maths exam topics.

Timing: Approximately 9 weeks Linear relationships are among the most prevalent and useful relationships to mathematics and the real world. Any inequality in two variables that exhibits a constant rate of change for these variables is linear. Real-world contexts that have a constant rate of change and data sets with a nearly constant rate of change can be effectively modelled by a linear function. You will explore all aspects of linear relationships in this series: contextual problems that involve constant rate of change, lines in the coordinate plane, arithmetic sequences, and algebraic means of expressing a linear relationship between two quantities. Through this series, you will develop deep skills with linear functions and equations and an appreciation for the simplicity and power of linear functions as building blocks of all higher mathematics. ENDURING UNDERSTANDINGS You will understand that ... - A linear relationship has a constant rate of change, which can be visualised as the slope of the associated graph. - There are many ways to algebraically represent a linear function and each form reveals different aspects of the function. - Linear functions can be used to model contextual scenarios that involve a constant rate of change or data whose general trend is linear. - A solution to a two-variable linear equation or inequality is an ordered pair that makes the equation or inequality true. KEY CONCEPTS - 1: Constant rate of change and slope - 2: Linear functions - 3: Linear equations - 4: Linear models of nonlinear scenarios - 5: Two-variable linear inequalities