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School City of Hobart |
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School City of Hobart Mathematics |
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Mathematics - Algebra II |
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Relations and Functions
The learner will be able to
graph relations and functions and find zeros. They use function notation and combine functions by composition. They interpret functions in given situations.
| Strand |
Source |
| Functions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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|
A2.1.1
The learner will be able to
recognize and graph various types of functions, including polynomial, rational, and algebraic functions.
| Strand |
Source |
| Functions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
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A2.1.2
The learner will be able to
use function notation. Add, subtract, multiply, and divide pairs of functions.
Example: Let f(x) = 7x + 2. Find the value of f(3).
.
| Strand |
Source |
| Functions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.1.3
The learner will be able to
understand composition of functions and combine functions by composition.
| Strand |
Source |
| Functions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
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A2.1.4
The learner will be able to
graph relations and functions with and without graphing technology.
| Strand |
Source |
| Graphing Functions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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A2.1.5
The learner will be able to
find the zeros of a function.
Example: In the last example, find the zeros of the function; i.e., find x when y = 0.
.
| Strand |
Source |
| Functions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
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A2.1.6
The learner will be able to
solve an inequality by examining the graph.
.
| Strand |
Source |
| Graphing Functions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
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A2.1.7
The learner will be able to
graph functions defined piece-wise.
Example: Draw the graph of the function that relates the weight of a letter to the cost of postage.
.
| Strand |
Source |
| Graphing Functions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
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A2.1.8
The learner will be able to
interpret given situations as functions in graphs, formulas, and words.
Example: You and your parents are going to Boston and want to rent a car at Logan International Airport on a Monday morning and drop the car off in downtown Providence, Rhode Island on the following Wednesday. Find the rates from two national car companies and plot out the costs on a graph. Decide which company offers the best deal. Explain your answer.
.
| Strand |
Source |
| Functions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
Linear and Absolute Value Equations
The learner will be able to
solve systems of linear equations and inequalities and use them to solve word problems. They model data with linear equations.
| Strand |
Source |
| Linear Equations/Inequalities |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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A2.2.1
The learner will be able to
graph absolute value equations and inequalities.
Example: Draw the graph of y = 2x - 5 and use that graph to draw the graph of y = |2x - 5|.
.
| Strand |
Source |
| Absolute Value |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.2.2
The learner will be able to
use substitution, elimination, and matrices to solve systems of two or three linear equations in two or three variables.
Example: Solve the system of equations: x - 2y + 3z = 5, x + 3z = 11, 5y - 6z = 9.z
.
| Strand |
Source |
| Linear Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.2.3
The learner will be able to
use systems of linear equations and inequalities to solve word problems.
Example: Each week you can work no more than 20 hours altogether at the local bookstore and the drugstore. You prefer the bookstore and want to work at least 10 more hours there than at the drugstore. Draw a graph to show the possible combinations of hours that you could work.
.
| Strand |
Source |
| Linear Equations/Inequalities |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.2.4
The learner will be able to
find a linear equation that models a data set using the median fit method and use the model to make predictions.
Example: You light a candle and record its height in centimeters every minute. The results recorded as (time, height) are (0, 20), (1, 18.3), (2, 16.5), (3, 14.8), (4, 13.2), (5, 11.5), (6, 10.0), (7, 8.2), (9, 4.9), and (10, 3.1). Find the median fit line to express the candle's height as a function of the time and state the meaning of the slope in terms of the burning candle.
.
| Strand |
Source |
| Linear Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
Quadratic Equations and Functions
The learner will be able to
solve quadratic equations, including the use of complex numbers. They interpret maximum and minimum values of quadratic functions. They solve equations that contain square roots.
| Strand |
Source |
| Quadratic Equations/Formula |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.3.1
The learner will be able to
define complex numbers and perform basic operations with them.
Example: Multiply 7 - 4i and 10 + 6i.
.
| Strand |
Source |
| Quadratic Equations/Formula |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.3.2
The learner will be able to
understand how real and complex numbers are related, including plotting complex numbers as points in the plane.
Example: Plot the points corresponding to 3 - 2i and 1 + 4i. Add these complex numbers and plot the result. How is this point related to the other two?
.
| Strand |
Source |
| Quadratic Equations/Formula |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.3.3
The learner will be able to
solve quadratic equations in the complex number system.
| Strand |
Source |
| Quadratic Equations/Formula |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.3.4
The learner will be able to
graph quadratic functions. Apply transformations to quadratic functions. Find and interpret the zeros and maximum or minimum value of quadratic functions.
| Strand |
Source |
| Quadratic Equations/Formula |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.3.5
The learner will be able to
solve word problems using quadratic equations.
Example: You have 100 feet of fencing to make three sides of a rectangular area using an existing straight fence as the fourth side. Construct a formula in a spreadsheet to determine the area you can enclose and use the spreadsheet to make a conjecture about the maximum area possible. Prove (or disprove) your conjecture by solving an appropriate quadratic equation.
.
| Strand |
Source |
| Quadratic Equations/Formula |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.3.6
The learner will be able to
solve equations that contain radical expressions.
| Strand |
Source |
| Radicals |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.3.7
The learner will be able to
solve pairs of equations, one quadratic and one linear, or both quadratic.
| Strand |
Source |
| Quadratic Equations/Formula |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
Conic Sections
The learner will be able to
write equations of conic sections and draw their graphs.
| Strand |
Source |
| Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.4.1
The learner will be able to
write the equations of conic sections (circle, ellipse, parabola, and hyperbola).
Example: Write an equation for a parabola with focus (2, 3) and directrix y = 1.
.
| Strand |
Source |
| Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.4.2
The learner will be able to
graph conic sections.
Example: Graph the parabola in the last example.
.
| Strand |
Source |
| Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
Polynomials
The learner will be able to
use the binomial theorem, divide and factor polynomials, and solve polynomial equations.
| Strand |
Source |
| Polynomials |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.5.1
The learner will be able to
understand the binomial theorem and use it to expand binomial expressions raised to positive integer powers.
| Strand |
Source |
| Binomial Expansion |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.5.2
The learner will be able to
divide polynomials by others of lower degree.
| Strand |
Source |
| Polynomials |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.5.3
The learner will be able to
factor polynomials completely and solve polynomial equations by factoring.
| Strand |
Source |
| Polynomials |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.5.4
The learner will be able to
use graphing technology to find approximate solutions for polynomial equations.
| Strand |
Source |
| Polynomials |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.5.5
The learner will be able to
use polynomial equations to solve word problems.
Example: You want to make an open-top box with a volume of 500 square inches from a piece of cardboard that is 25 inches by 15 inches. Find the possible dimensions of the box.
.
| Strand |
Source |
| Polynomials |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.5.6
The learner will be able to
write a polynomial equation given its solutions.
Example: Write an equation that has solutions x = 2, x = 5i and x = -5i.
.
| Strand |
Source |
| Polynomials |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.5.7
The learner will be able to
understand and describe the relationships among the solutions of an equation, the zeros of a function, the x-intercepts of a graph, and the factors of a polynomial expression.
| Strand |
Source |
| Algebraic Concepts |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
Algebraic Fractions
The learner will be able to
use negative and fractional exponents. They simplify algebraic fractions and solve equations involving algebraic fractions. They solve problems of direct, inverse, and joint variation.
| Strand |
Source |
| Algebraic Concepts |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.6.1
The learner will be able to
understand and use negative and fractional exponents.
| Strand |
Source |
| Exponents |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.6.2
The learner will be able to
add, subtract, multiply, divide, and simplify algebraic fractions.
| Strand |
Source |
| Algebraic Concepts |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.6.3
The learner will be able to
simplify complex fractions.
| Strand |
Source |
| Algebraic Concepts |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.6.4
The learner will be able to
solve equations involving algebraic fractions.
| Strand |
Source |
| Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.6.5
The learner will be able to
solve word problems involving fractional equations.
Example: Two students, working independently, can complete a particular job in 20 minutes and 30 minutes, respectively. How long will it take to complete the job if they work together?
.
| Strand |
Source |
| Problem Solving |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.6.6
The learner will be able to
solve problems of direct, inverse, and joint variation.
Example: One day your drive to work takes 10 minutes and you average 30 mph. The next day the drive takes 15 minutes. What is your average speed that day?
.
| Strand |
Source |
| Problem Solving |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
Logarithmic and Exponential Functions
The learner will be able to
graph exponential functions and relate them to logarithms. They solve logarithmic and exponential equations and inequalities. They solve word problems using exponential functions.
| Strand |
Source |
| Functions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.7.1
The learner will be able to
graph exponential functions.
| Strand |
Source |
| Exponential Functions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.7.2
The learner will be able to
prove simple laws of logarithms.
| Strand |
Source |
| Logarithmic Functions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.7.3
The learner will be able to
understand and use the inverse relationship between exponents and logarithms.
| Strand |
Source |
| Inverses |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.7.4
The learner will be able to
solve logarithmic and exponential equations and inequalities.
| Strand |
Source |
| Logarithms |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.7.5
The learner will be able to
use the definition of logarithms to convert logarithms from one base to another.
| Strand |
Source |
| Logarithms |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.7.6
The learner will be able to
use the properties of logarithms to simplify logarithmic expressions and to find their approximate values.
| Strand |
Source |
| Logarithms |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.7.7
The learner will be able to
use calculators to find decimal approximations of natural and common logarithmic numeric expressions. Example: Find a decimal approximation for ln 500.
| Strand |
Source |
| Logarithms |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
A2.7.8
The learner will be able to
solve word problems involving applications of exponential functions to growth and decay.
.
| Strand |
Source |
| Exponential Functions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
|
|
Sequences and Series
The learner will be able to
define and use arithmetic and geometric sequences and series.
| Strand |
Source |
| Sequences |
IDOE |
| |
Unit Instructional Resources |
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| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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Unit Assessment Resources |
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| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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A2.8.1
The learner will be able to
define arithmetic and geometric sequences and series.
Example: What type of sequence is 10, 100, 1,000, 10,000, ...?
.
| Strand |
Source |
| Sequences/Series |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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Unit Assessment Resources |
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| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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A2.8.2
The learner will be able to
find specified terms of arithmetic and geometric sequences.
Example: Find the 10th term of the arithmetic sequence 3, 7, 11, 15, ...
.
| Strand |
Source |
| Sequences |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
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| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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A2.8.3
The learner will be able to
find partial sums of arithmetic and geometric series.
Example: In the last example, find the sum of the first ten terms.
.
| Strand |
Source |
| Series |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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A2.8.4
The learner will be able to
solve word problems involving applications of sequences and series.
Example: You have on a Petri dish 1 square millimeter of a certain mold that doubles in size each day. What area will it cover after a week?
.
| Strand |
Source |
| Sequences/Series |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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Counting Principles and Probability
The learner will be able to
use fundamental counting principles to compute combinations, permutations, and probabilities.
| Strand |
Source |
| Probability |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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A2.9.1
The learner will be able to
understand and apply counting principles to compute combinations and permutations.
Example: There are five students who work in a bookshop. If the bookshop needs three people to operate, how many days straight could the bookstore operate without the same group of students working twice?
.
| Strand |
Source |
| Combinations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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A2.9.2
The learner will be able to
use the basic counting principle, combinations, and permutations to compute probabilities.
Example: You are on a chess team made up of 5 players. What is the probability that you will be chosen if a three-man team is selected at random?
.
| Strand |
Source |
| Probability |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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Mathematical Reasoning, Problem Solving
The learner will be able to
use a variety of strategies to solve problems.
| Strand |
Source |
| Problem Solving |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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A2.10.1
The learner will be able to
use a variety of problem-solving strategies, such as drawing a diagram, guess-and-check, solving a simpler problem, writing an equation, and working backwards.
Example: The swimming pool at Roanoke Park is 24 feet long and 18 feet wide. The park district has determined that they have enough money to put a walkway of uniform width, with a maximum area of 288 square feet, around the pool. How could you find the maximum width of a new walkway?
.
| Strand |
Source |
| Strategies |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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A2.10.2
The learner will be able to
decide whether a solution is reasonable in the context of the original situation.
Example: John says the answer to the problem in the first example is 20 feet. Is that reasonable?
.
| Strand |
Source |
| Evaluating Solutions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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A2.10.3
The learner will be able to
decide if a given algebraic statement is true always, sometimes, or never (statements involving rational or radical expressions, logarithmic or exponential functions).
| Strand |
Source |
| Algebraic Concepts |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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A2.10.4
The learner will be able to
use the properties of number systems and the order of operations to justify the steps of simplifying functions and solving equations.
| Strand |
Source |
| Properties |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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A2.10.5
The learner will be able to
understand that the logic of equation solving begins with the assumption that the variable is a number that satisfies the equation, and that the steps taken when solving equations create new equations that have, in most cases, the same solution set as the original. Understand that similar logic applies to solving systems of equations simultaneously.
| Strand |
Source |
| Problem Solving |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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A2.10.6
The learner will be able to
use counterexamples to show that statements are false.
Example: Show by an example that this statement is false: the product of two complex numbers is always a complex number.
.
| Strand |
Source |
| Solution |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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| |
Unit Assessment Resources |
| |
| · |
Algebra 2, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
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