MATH PRESENTATION

Unit 4 Exam Review - Trigonometric Functions

What information do I need know for exam?

Objective: By the end of this lesson, students will be able to:

• calculate the period and Frequencey of sine, cosine, and tangent lines,
• identify the midline and amplitude of sine, cosine, and tangent lines,
• and identify graphs of sine, cosine, and tangent lines,
• by completing the Unit 4 Exam

Unit 2 Exam Review - Banking

What information do I need know for exam?

Objective: By the end of this lesson, students will be able to:

• calculate the balance in a checking account,
• calculating bank fees,
• identify types of bank fees,
• by completing the Unit 2 Exam

Unit 4 Exam Review - Transformation of Functions

What information do I need know for exam?

Objective: By the end of this lesson, students will be able to:

• perform operations on functions,
• translate functions,
• reflect functions on graphs,
• solve inverse equations
• by completing the Unit 4 Exam

Unit 1 Exam Review - Exponential and Logarithmic Functions

What information do I need know for exam?

Objective: By the end of this lesson, students will be able to:

• graph functions,
• interpret data from given functions,
• translate functions using key features,
• solve inverse equations and logarithmic functions,
• by completing the Unit 1 Exam

Unit 1 Exam Reivew - Income and Expenses

What information do I need know for exam?

Objective: By the end of this lesson, students will be able to:

• calculate gross and net income,
• calculate total compensation,
• calculate tax deductions,
• calculate sales tax and property tax
• by completing the Unit 1 Exam

Unit 4 Exam Reivew

What information do I need know for exam?

Objective: By the end of this lesson, students will be able to:

• classify types of triangle,
• use Trinangle sum Theorem and Exterior sum Theorem to calculate missing angle measures,
• and will calculate missing angles and side measures
• by completing the Unit 4 Exam

Unit 4 Exam Reivew

What information do I need know for exam?

Objective: By the end of this lesson, students will be able to:

• classify types of triangle,
• use Trinangle sum Theorem and Exterior sum Theorem to calculate missing angle measures,
• and will calculate missing angles and side measures
• by completing the Unit 4 Exam

Workbook 28.2 - 29.1 Linear Lines

Do you remember how to identify data in a linear function?

Objective: By the end of this lesson, students will be able to:

Key Details:

• Slope-intercept form:
• y = mx + b where m is your slope and b is the

y-intercept.

• identify types of correlations in a scatter plot,
• identify key data using line of regression.

Workbook 22.1 - 22.3 - Data Sets

Do you remember how to calculate the average?

Objective: By the end of this lesson, students will be able to:

Key Details:

• Mean - the average of a given set of numbers
• Median - middle number of a given set
• Mode - the number that repeats
• Range - largest - smallest

• calculate the mean, and median of the data set,
• identify types of data sheets as skewed or not,
• create a box plot

Workbook 12.1 45 - 45 - 90 Triangles

Do you remember the patterns for a 45-45-90 triangle?

Objective: By the end of this lesson, students will be able to:

Key Details:

• Trig Ratios (SOH CAH TOA)

• calculate the missing sides lengths of a 45-45-90 triangle,
• write the trig ratios using the given angles of a 45-45-90 triangle.

Workbook 12.2 30 - 60 - 90 Triangles

Do you remember the patterns for a 30-60-90 triangle?

Objective: By the end of this lesson, students will be able to:

Key Details:

• Trig Ratios (SOH CAH TOA)

• calculate the missing sides lengths of a 30-60-90 triangle,
• write the trig ratios using the given angles of a 30-60-90 triangle.

Workbook 14.1 & 14.2 Unit Circle

Do you remember the patterns for a 30-60-90 triangle?

Objective: By the end of this lesson, students will be able to:

Key Details:

• Trig Ratios (SOH CAH TOA)

• solve trigamentry equations using the unit circle.

Workbook 7.2 The Change of Base Formula

Do you remember how to change the common log?

Key Details:

• Change of base formula

Objective: By the end of this lesson, students will be able to:

• simplify logarithm equations using the change of base formula.

Workbook 17.2 | Learn: Multiplying Functions

Do you remember how to multiply polynomials?

Key Details:

• Distributive Property

• FOILMethod

Objective: By the end of this lesson, students will be able to:

• multiply two functions using the distributive property

Workbook 17.1 | Learn: Adding and Subtracting Functions

What do I do to add/subtract functions?

Key Details:

• Like Terms

Objective: By the end of this lesson, students will be able to:

• use two different functions and combine them using addition and subtraction.

Workbook 13.3: Coterminal Angles

What is a coterminal angle?

Key Details:

• Terminal Side: the ray of an angle at which the measure of the angle ends.
• Coterminal Sides: two angles in standard position that share the same initial side and terminal sides.

Objective: By the end of this lesson, students will be able to:

• solve coterminal angel equations using radians and degrees

Workbook 13.2: How to convert between Radians and Degrees.

What is the formula we use to convert Radians?

Key Details:

• Reminder that a circle is 360 degrees and half is 180.

Objective: By the end of this lesson, students will be able to:

• convert equations from Radians to degrees
• convert equations for degrees to radians.

Workbook 13.1: What is Radian Measure?

What is a Radian?

Key Details:

• Reminder that a circle is 360 degrees and half is 180.

Objective: By the end of this lesson, students will be able to:

• use radians to calculate measures on a circle.

Workbook 2.1 Transformation of Exponential Functions

What is a transformation?

Objective: By the end of this lesson, students will be able to:

Key Details:

• Parent Functions - the given function

• Vertical translation - the change in the function vertically.
• Horizontal transition - the change in the function horizontally.

• use features of functions to identify the effect of a translation of one function compared to the given function using equations and graphs.

Workbook 4.1 From Exponents to Logs

What is an opposite of an exponential function?

Objective: By the end of this lesson, students will be able to:

Key Details:

• Inverse operations - a reminder that it is the opposite of the function;
• Here is an example:

• convert equations in exponent form to logarithmetic form.

Workbook 5.1 Base 10

What is a common logarithmetic function?

Objective: By the end of this lesson, students will be able to:

Key Details:

• Our number system is called a base-10 number system because each place value can contain one of the 10 possible digits, 0-9.
• A log with the base of 10 is called a common logarithm:

• convert and evaluate equations in common logarithmetic form.

Workbook 5.2 Other Bases

What is a common logarithmetic function?

Objective: By the end of this lesson, students will be able to:

Key Details:

• Our number system is called a base-10 number system because each place value can contain one of the 10 possible digits, 0-9.
• A log with the base of 10 is called a common logarithm:

• convert and evaluate logarithmetic functions using other bases besides base 10.

Workbook 5.3 Natural Logarithms

What is a natural logarithmetic function?

Objective: By the end of this lesson, students will be able to:

Key Details:

• Our number system is called a base-10 number system because each place value can contain one of the 10 possible digits, 0-9.
• When the base of a logarithm is e, it has a special name and symbol:

• convert and evaluate natural logarithmetic functions.

Workbook 3.1: Inverse of Functions

What is an opposite of a function?

Objective: By the end of this lesson, students will be able to:

Key Details:

• Inverse operations - a reminder that it is the opposite of the function;
• Reminder that you are looking for the function that will "undo" the given function;
• Here is an example:

• write equations and solve equations using the inverse of a function.

Workbook 1.2 Key Features of Exponential Rules

How do use key features to graph Exponential Functions?

Objective: By the end of this lesson, students will be able to:

Key Details:

• Domain is the x-values on a graph.

• Range is the y-values on a graph

• Horizontal Asymptote of a graph is a horizontal line where the graph approaches the _____ and _____
• End behavior is how our graph behaves for really large and really small values, of our graph.

• identify key features of exponential functions,
• Graph functions using features,
• solve equations using the general form of Exponential Functions

Workbook 1.3 Key Features in Context

How do use key features to graph Exponential Functions?

Objective: By the end of this lesson, students will be able to:

Key Details:

• The General formula of an exponential function is:

where a+k is the initial value, b is the growth factor, x is the variable, and k is the horizontal asymptote.

• use the general formula and standard form of an exponential function to solve given equations.

Workbook 13.1 Using Key Features of Graphs

How do you use features of graphs to interpret data?

Objective: By the end of this lesson, students will be able to:

Key Details:

• Recall quadratic functions form a U-shape when graphed;
• Linear functions form a straight line when graphed;

• Exponential functions, growth and decay, for a curve when graphed.

• identify key feautres of a graph to interpret data.

Workbook 6.1: Geometric Sequences

What is a Geometric Sequence?

Objective: By the end of this lesson, students will be able to:

Key Details:

• Recall from the prior lesson on arithmetic sequences, that you solve the equations for missing terms and identified the patterns of the sequences by finding the common differences.
• For a geometric sequence, you will identify the pattern by calculating the common ratio.

• Define the term geometric sequence;
• identify the common ratio of geometric sequence;
• will solve for the missing term of a geometric sequence.

Workbook 6.1: Geometric Sequences

What is a Geometric Sequence?

Objective: By the end of this lesson, students will be able to:

Key Details:

• Recall from the prior lesson on arithmetic sequences, that you solve the equations for missing terms and identified the patterns of the sequences by finding the common differences.
• For a geometric sequence, you will identify the pattern by calculating the common ratio.

• Define the term geometric sequence;
• identify the common ratio of geometric sequence;
• will solve for the missing term of a geometric sequence.

Workbook 6.2: Arithmetic/Geometric Sequences

What is a Geometric Sequence?

Key Details:

Objective: By the end of this lesson, students will be able to:

• Recall from the prior lesson on arithmetic sequences, that you solve the equations for missing terms and identified the patterns of the sequences by finding the common differences.
• For a geometric sequence, you will identify the pattern by calculating the common ratio.

• Determine if a sequence is arithmetic, geometric, or neither.

Workbook 10.1: Constant Rate of Change

What is the constant rate of change?

Key Details:

Objective: By the end of this lesson, students will be able to:

• The rate of change is equal to the slope of a line.

• use the slope formula
• calculate the rate of change;

Workbook 10.2: Constant Rate of Change

What is the average rate of change for nonlinear functions?

Key Details:

Objective: By the end of this lesson, students will be able to:

• For linear functions, a line, the rate of change is equal to the slope of a line.

• determine the rate of change for nonlinear functions

Workbook 8.2 Exponential Growth

What is exponential decay?

Key Details:

Objective: By the end of this lesson, students will be able to:

• Reminder, exponential functions grow or decrease very rapidly.

• Exponential Function Reminder

• determine the functions for exponential decay
• solve exponential decay equations.

Key Details:

Objective: By the end of this lesson, students will be able to:

Workbook 18.2 Systems of Equations: Solutions

What is the solution to a system of equations?

Key Details:

Objective: By the end of this lesson, we are learning:

TALK ABOUT A PROCESS

Process 3

Process 1

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TALK ABOUT A PROCESS

Process 3

Process 1

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Euismod tincidunt ut laoreet dolore magna aliquam erat volutpat. Ut wisi enim ad minim veniam, quis nostrud exerci tation ullamcorper suscipit lobortis nisl

TALK ABOUT A PROCESS

Process 3

Process 1

Euismod tincidunt ut laoreet dolore magna aliquam erat volutpat. Ut wisi enim ad minim veniam, quis nostrud exerci tation ullamcorper suscipit lobortis nisl

Euismod tincidunt ut laoreet dolore magna aliquam erat volutpat. Ut wisi enim ad minim veniam, quis nostrud exerci tation ullamcorper suscipit lobortis nisl

TALK ABOUT A PROCESS

Process 3

Process 1

Euismod tincidunt ut laoreet dolore magna aliquam erat volutpat. Ut wisi enim ad minim veniam, quis nostrud exerci tation ullamcorper suscipit lobortis nisl

Euismod tincidunt ut laoreet dolore magna aliquam erat volutpat. Ut wisi enim ad minim veniam, quis nostrud exerci tation ullamcorper suscipit lobortis nisl

TALK ABOUT A PROCESS

Process 3

Process 1

Euismod tincidunt ut laoreet dolore magna aliquam erat volutpat. Ut wisi enim ad minim veniam, quis nostrud exerci tation ullamcorper suscipit lobortis nisl

Euismod tincidunt ut laoreet dolore magna aliquam erat volutpat. Ut wisi enim ad minim veniam, quis nostrud exerci tation ullamcorper suscipit lobortis nisl