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School City of Hobart |
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School City of Hobart Mathematics |
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Mathematics - Algebra I |
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Operations with Real Numbers
The learner will be able to
simplify and compare expressions. They use rational exponents, and simplify square roots.
| Strand |
Source |
| Expressions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.1.1
The learner will be able to
compare real number expressions.
| Strand |
Source |
| Expressions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.1.2
The learner will be able to
simplify square roots using factors.
| Strand |
Source |
| Factoring |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.1.3
The learner will be able to
understand and use the distributive, associative, and commutative properties.
Example: Simplify (6x2 - 5x+1) - 2(x2 + 3x - 4) by removing the parentheses and rearranging. Explain why you can carry out each step.
.
| Strand |
Source |
| Properties |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.1.4
The learner will be able to
use the laws of exponents for rational exponents.
| Strand |
Source |
| Exponents |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.1.5
The learner will be able to
use dimensional (unit) analysis to organize conversions and computations.
Example: Convert 5 miles per hour to feet per second.
.
| Strand |
Source |
| Computation |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
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Linear Equations and Inequalities
The learner will be able to
solve linear equations and inequalities in one variable. They solve word problems that involve linear equations, inequalities, or formulas.
| Strand |
Source |
| Linear Equations/Inequalities |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.2.1
The learner will be able to
solve equations and formulas for a specified variable.
Example: Solve the equation q = 4p - 11 for p.
.
| Strand |
Source |
| Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.2.3
The learner will be able to
find solution sets of linear inequalities when possible numbers are given for the variable.
Example: Solve the inequality 6x - 3 > 10 for x in the set {0, 1, 2, 3, 4}.
.
| Strand |
Source |
| Linear Inequalities |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.2.4
The learner will be able to
solve linear inequalities using properties of order.
Example: Solve the inequality 8x - 7 <= 2x + 5, explaining each step in your solution.
.
| Strand |
Source |
| Linear Inequalities |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.2.5
The learner will be able to
solve combined linear inequalities.
Example: Solve the inequalities -7 < 3x + 5 < 11.
.
| Strand |
Source |
| Linear Inequalities |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.2.6
The learner will be able to
solve word problems that involve linear equations, formulas, and inequalities.
Example: You are selling tickets for a play that cost $3 each. You want to sell at least $50 worth. Write and solve an inequality for the number of tickets you must sell.
.
| Strand |
Source |
| Linear Equations/Inequalities |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
Relations and Functions
The learner will be able to
sketch and interpret graphs representing given situations. They understand the concept of a function and analyze the graphs of functions.
| Strand |
Source |
| Functions/Relations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.3.1
The learner will be able to
sketch a reasonable graph for a given relationship.
Example: Sketch a reasonable graph for a person's height from age 0 to 25.
.
| Strand |
Source |
| Relations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.3.2
The learner will be able to
interpret a graph representing a given situation.
.
| Strand |
Source |
| Graphing Functions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.3.3
The learner will be able to
understand the concept of a function, decide if a given relation is a function, and link equations to functions.
Example: Use either paper or a spreadsheet to generate a list of values for x and y in y = x2. Based on your data, make a conjecture about whether or not this relation is a function. Explain your reasoning.
.
| Strand |
Source |
| Functions/Relations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.3.4
The learner will be able to
find the domain and range of a relation.
Example: Based on the list of values from the last example, what do the domain and range of y = x2 appear to be? How can you decide whether you are correct?
.
| Strand |
Source |
| Relations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
Graphing Linear Equations, Inequalities
The learner will be able to
graph linear equations and inequalities in two variables. They write equations of lines and find and use the slope and y-intercept of lines. They use linear equations to model real data.
| Strand |
Source |
| Linear Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.4.1
The learner will be able to
graph a linear equation.
Example: Draw the graph of the line with slope 3 and y-intercept -2.
.
| Strand |
Source |
| Linear Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.4.2
The learner will be able to
find the slope, x-intercept and y-intercept of a line given its graph, its equation, or two points on the line.
Example: Find the slope and y-intercept of the line 4x + 6y = 12.
.
| Strand |
Source |
| Linear Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.4.3
The learner will be able to
write the equation of a line in slope-intercept form. Understand how the slope and y-intercept of the graph are related to the equation.
Example: Write the equation of the line 4x + 6y = 12 in slope-intercept form. What is the slope of this line? Explain your answer.
.
| Strand |
Source |
| Linear Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.4.4
The learner will be able to
write the equation of a line given appropriate information.
Example: Find an equation of the line through the points (1, 4) and (3, 10), then find an equation of the line through the point (1, 4) perpendicular to the first line.
.
| Strand |
Source |
| Linear Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.4.5
The learner will be able to
write the equation of a line that models a data set and use the equation (or the graph of the equation) to make predictions. Describe the slope of the line in terms of the data, recognizing that the slope is the rate of change.
Example: As your family is traveling along an interstate, you note the distance traveled every 5 minutes. A graph of time and distance shows that the relation is approximately linear. Write the equation of the line that fits your data. Predict the time for a journey of 50 miles. What does the slope represent?
.
| Strand |
Source |
| Linear Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.4.6
The learner will be able to
graph a linear inequality in two variables.
Example: Draw the graph of the inequality 6x + 8y >= 24.
.
| Strand |
Source |
| Linear Inequalities |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
Pairs of Linear Equations, Inequalities
The learner will be able to
solve pairs of linear equations using graphs and using algebra. They solve pairs of linear inequalities using graphs. They solve word problems involving pairs of linear equations.
| Strand |
Source |
| Linear Equations/Inequalities |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.5.1
The learner will be able to
use a graph to estimate the solution of a pair of linear equations in two variables.
Example: Graph the equations 3y - x = 0 and 2x + 4y = 15 to find where the lines intersect.
.
| Strand |
Source |
| Linear Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.5.2
The learner will be able to
use a graph to find the solution set of a pair of linear inequalities in two variables.
Example: Graph the inequalities y <= 4 and x + y <= 5. Shade the region where both inequalities are true.
.
| Strand |
Source |
| Linear Inequalities |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.5.3
The learner will be able to
understand and use the substitution method to solve a pair of linear equations in two variables.
Example: Solve the equations y = 2x and 2x + 3y = 12 by substitution.
.
| Strand |
Source |
| Linear Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.5.4
The learner will be able to
understand and use the addition or subtraction method to solve a pair of linear equations in two variables.
Example: Use subtraction to solve the equations: 3x + 4y = 11, 3x + 2y = 7.
.
| Strand |
Source |
| Linear Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.5.5
The learner will be able to
understand and use multiplication with the addition or subtraction method to solve a pair of linear equations in two variables.
Example: Use multiplication with the subtraction method to solve the equations: x + 4y = 16, 3x - 2y = -3.
.
| Strand |
Source |
| Linear Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.5.6
The learner will be able to
use pairs of linear equations to solve word problems.
Example: The income a company makes from a certain product can be represented by the equation y = 10.5x and the expenses for that product can be represented by the equation y = 5.25x + 10,000, where x is the amount of the product sold and y is the number of dollars. How much of the product must be sold for the company to reach the break-even point?
.
| Strand |
Source |
| Linear Equations |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
Polynomials
The learner will be able to
add, subtract, multiply, and divide polynomials. They factor quadratics.
| Strand |
Source |
| Polynomials |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.6.1
The learner will be able to
add and subtract polynomials.
.
| Strand |
Source |
| Polynomials |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.6.2
The learner will be able to
multiply and divide monomials.
| Strand |
Source |
| Polynomials |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.6.3
The learner will be able to
find powers and roots of monomials (only when the answer has an integer exponent).
| Strand |
Source |
| Polynomials |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.6.4
The learner will be able to
multiply polynomials.
Example: Multiply (n + 2)(4n - 5).
.
| Strand |
Source |
| Polynomials |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.6.5
The learner will be able to
divide polynomials by monomials.
| Strand |
Source |
| Polynomials |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.6.6
The learner will be able to
find a common monomial factor in a polynomial.
| Strand |
Source |
| Polynomials |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.6.7
The learner will be able to
factor the difference of two squares and other quadratics.
| Strand |
Source |
| Quadratic Equations/Formula |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.6.8
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 |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
Algebraic Fractions
The learner will be able to
simplify algebraic ratios and solve algebraic proportions.
| Strand |
Source |
| Algebraic Concepts |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.7.1
The learner will be able to
simplify algebraic ratios.
| Strand |
Source |
| Algebraic Concepts |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.7.2
The learner will be able to
solve algebraic proportions.
| Strand |
Source |
| Algebraic Concepts |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
Quadratic, Cubic, and Radical Equations
The learner will be able to
graph and solve quadratic and radical equations. They graph cubic equations.
| Strand |
Source |
| Quadratic Equations/Formula |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.8.1
The learner will be able to
graph quadratic, cubic, and radical equations.
| Strand |
Source |
| Quadratic Equations/Formula |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.8.2
The learner will be able to
solve quadratic equations by factoring.
.
| Strand |
Source |
| Quadratic Equations/Formula |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.8.3
The learner will be able to
solve quadratic equations in which a perfect square equals a constant.
| Strand |
Source |
| Quadratic Equations/Formula |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.8.4
The learner will be able to
complete the square to solve quadratic equations.
| Strand |
Source |
| Quadratic Equations/Formula |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.8.5
The learner will be able to
derive the quadratic formula by completing the square.
| Strand |
Source |
| Quadratic Equations/Formula |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.8.6
The learner will be able to
solve quadratic equations by using the quadratic formula.
| Strand |
Source |
| Quadratic Equations/Formula |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.8.7
The learner will be able to
use quadratic equations to solve word problems.
| Strand |
Source |
| Quadratic Equations/Formula |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.8.8
The learner will be able to
solve equations that contain radical expressions.
| Strand |
Source |
| Radicals |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.8.9
The learner will be able to
use graphing technology to find approximate solutions of quadratic and cubic equations.
| Strand |
Source |
| Quadratic Equations/Formula |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
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 |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.9.1
The learner will be able to
use a variety of problem solving strategies, such as drawing a diagram, making a chart, guess-and-check, solving a simpler problem, writing an equation, and working backwards.
Example: Fran has scored 16, 23, and 30 points in her last three games. How many points must she score in the next game so that her four game average does not fall below 20 points?
.
| Strand |
Source |
| Strategies |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.9.2
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 10 points. Is his answer reasonable? Why or why not?
.
| Strand |
Source |
| Evaluating Solutions |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.9.3
The learner will be able to
use the properties of the real number system and the order of operations to justify the steps of simplifying functions and solving equations.
Example: Given an argument (such as 3x + 7 > 5x + 1, and therefore -2x > -6, and therefore x > 3), provide a visual presentation of a step-by-step check, highlighting any errors in the argument.
.
| Strand |
Source |
| Strategies |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.9.4
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.
Example: Try "solving" the equations x + 3y = 5 and 5x + 15y = 25 simultaneously, and explain what went wrong.
.
| Strand |
Source |
| Strategies |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.9.5
The learner will be able to
decide whether a given algebraic statement is true always, sometimes, or never (statements involving linear or quadratic expressions, equations, or inequalities).
| Strand |
Source |
| Strategies |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.9.6
The learner will be able to
distinguish between inductive and deductive reasoning, identifying and providing examples of each.
Example: What type of reasoning are you using when you look for a pattern?
.
| Strand |
Source |
| Analyzing Problems |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.9.7
The learner will be able to
identify the hypothesis and conclusion in a logical deduction.
Example: What is the hypothesis and conclusion in this argument: If there is a number x such that 2x + 1 = 7, then x = 3.
.
| Strand |
Source |
| Analyzing Problems |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
A1.9.8
The learner will be able to
use counterexamples to show that statements are false, recognizing that a single counterexample is sufficient to prove a general statement false.
Example: Use the demonstration-graphing calculator on an overhead projector to produce an example showing that this statement is false: all quadratic equations have two different solutions.
.
| Strand |
Source |
| Analyzing Problems |
IDOE |
| |
Unit Instructional Resources |
| |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
| |
Unit Assessment Resources |
| |
| · |
Core 40, IDOE, Final Exam [IDOE ECA]. |
| · |
ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test]. |
| · |
Concepts and Skills, McDougall-Littell, Mathematics Book Adoption [Textbook]. |
| · |
Algebra 1, Indiana Edition/Prentice Hall, Mathematics Book Adoption [Textbook]. |
| · |
Algebra I, Prentice Hall, 8th Grade, Mathematics Book Adoption [Textbook]. |
|
|
|
