Pre-Calculus 30 | Saskatchewan Curriculum

(a)	Explain the relationship between powers, exponentials, logarithms, and radicals.
(b)	Express a logarithmic expression as an exponential expression and vice versa.
(c)	Determine, without technology, the exact value of a logarithm such as $log_2 8$.
(d)	Explain how to estimate the value of a logarithm using benchmarks (e.g., since $log_2 8 = 3$ and $log_2 16 = 4$, $log_2 9$ is approximately equal to $3.1$ ).
(e)	Derive and explain the laws of logarithms.
(f)	Apply the laws of logarithms to determine equivalent expressions for given logarithmic statements.
(g)	Determine, using technology, the approximate value of a logarithmic expression (e.g. $log_2 9$).
(h)	Solve exponential equations in which the bases are powers of one another.
(i)	Solve exponential equations in which the bases are not powers of one another.
(j)	Develop, generalize, explain, and apply strategies for solving logarithmic equations and verify the solutions.
(k)	Explain why a value obtained in solving a logarithmic equation may be extraneous.
(l)	Solve situational questions that involve exponential growth or decay, such as loans, mortgages, and investments.
(m)	Solve situational questions involving logarithmic scales, such as the Richter scale and pH scale.
(n)	Analyze graphs of exponential functions of the form $y=a^x,x>0$ and report about the relationships between the value of a and the domain, range, horizontal asymptote, and intercepts.
(o)	Sketch, with or without the use of technology, the graphs of exponential functions of the form $y=a^x,x>0$.
(p)	Explain the role of the horizontal asymptote for exponential functions.
(q)	Develop, generalize, explain, and apply strategies for sketching transformations of the graph of $y=a^x,x>0$.
(r)	Analyze graphs of logarithmic functions of the form $y=log_b x,b>1$ and report about the relationships between the value of b and the domain, range, vertical asymptote, and intercepts.
(s)	Sketch, with or without technology, the graphs of logarithmic functions of the form $y=log_b x,b>1$.
(t)	Explain the role of the vertical asymptote for logarithm functions.
(u)	Develop, generalize, explain, and apply strategies for sketching transformations of the graph of $y=log_b x,b>1$.
(v)	Demonstrate graphically that $y=log_b x,b>1$ and $y=b^x,b>0$ are inverses of each other.

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Resources

R054350

McGraw-Hill Ryerson Pre-Calculus 12. Student Edition

The student text consists of four units. Each unit opens with a two-page spread. The first page introduces what the students will learn throughout the unit and the second page introduces the unit project. Throughout the chapters are project corner boxes that will assist students to gather information for their projects. Each unit culminates with the project wrap-up. The chapters include career information based on the skills that will be learned. Opportunities are provided for students to make connections between math and the real world or to make connections to what students already know or may be studying in other classes. The student resource includes a table of contents, an answer key, a glossary and an index.

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Please see the related resources below.

• McGraw-Hill Ryerson Pre-Calculus 12. Interactive Student Resource DVD

• McGraw-Hill Ryerson Pre-Calculus 12. Interactive Teacher's Resource DVD

• McGraw-Hill Ryerson Pre-Calculus 12. Teacher's Resource (Print & CD-ROM)

• McGraw-Hill Ryerson Pre-Calculus 12. Teacher's Resource Package (Print, CD-ROM, Interactive Teacher's Resource DVD)

Media and Formats : Book

Price : $81.29

Record posted/updated: August 13, 2019