Alberta Program of Studies (2002)

Topic 2: Exponents, Logarithms and Geometric Series

General Outcome: Generate and analyze exponential patterns.

Substrand: Patterns

Specific Outcomes:

2.1 Derive and apply expressions to represent general terms and sums for geometric growth and to solve problems. [CN, R, T]
2.2 Connect geometric sequences to exponential functions over the natural numbers. [E, R, V]

Deletions: Infinite geometric series

General Outcome: Solve exponential, logarithmic and trigonometric equations and identities.

Substrand: Variables and Equations

Specific Outcomes:

2.3 Solve exponential equations having bases that are powers of one another. [E, R]
2.4 Use the laws of exponents and logarithms to:

• solve and verify exponential equations and identities
• solve logarithmic equations
• simplify logarithmic expressions. [R]

Note: Manipulation of logarithmic expressions has been restricted to simplifications, and not extended to the proof of logarithmic identities.

General Outcome: Represent and analyze exponential and logarithmic functions, using technology as appropriate.

Substrand: Relations and Functions

Specific Outcomes:

2.5 Graph and analyze an exponential function, using technology. [R, T, V]
2.6 Model, graph and apply exponential functions to solve problems. [PS, T, V]     Interest  Growth  Regression Richter Scale/PH
2.7 Change functions from exponential form to logarithmic form and vice versa. [CN]
2.8 Use logarithms to model practical problems. [CN, PS, V]
2.9 Explain the relationship between the laws of logarithms and the laws of exponents. [C, T]
2.10 Graph and analyze logarithmic functions with and without technology. [R, T, V]

• Communication [C]
• Connections [CN]
• Estimation and Mental Mathematics [E]
• Problem Solving [PS]
• Reasoning [R]
• Technology [T]
• Visualization [V]