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Algebra ICommandment
s
Algebraic Thinking
Competency 2
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Solve, check, and graph multi-step linear equations and
inequalities in one variable, including
rational coefficients in mathematical and real-
world situationsObjective 2a – DoK 2
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Testing Hints:1) Circle important information2) Eliminate answer choices
Strategies:3) Work out on your own and
compare steps4) Use substitution property
with answer choices to see what works
Objective 2a – DoK 2
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B
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B
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Solve and graph absolute value equations and inequalities in one variable
Objective 2b – DoK 2
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Testing Hints:1) Circle important information2) Eliminate answer choices
Strategies:3) Work out on your own and
compare steps4) Use substitution property
with answer choices to see what works
Objective 2b – DoK 2
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B
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Analyze the relationship
between x and y values, determine whether a relation is a function, and
identify domain and range
Objective 2c – DoK 2
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Testing Hints:1) Circle important information2) Eliminate answer choices
Vocabulary:3) Domain – x-values4) Range – y-values5) Function – No x-values
repeat; passes the vertical line test
Objective 2c – DoK 2
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Explain and illustrate how a change in one
variable may result in a change in another variable and apply to
the relationships between independent
and dependent variables
Objective 2d – DoK 2
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Testing Hints:1) Circle important information2) Eliminate answer choices
Strategies:3) Solve for y (y=)4) Use the y = button to input
the equation; get the table values to identify the change
Objective 2d – DoK 2
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B
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Graph and analyze linear
functions
Objective 2e – DoK 2
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Testing Hints:1) Circle important information2) Eliminate answer choices
Strategies:3) Solve for y (y=); AKA: slope-
intercept form4) Use the y = button to input
the equation; get the table values to identify the coordinates or graph to see a solution
Objective 2e – DoK 2
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C
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C
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A
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Use algebraic and graphical methods to solve systems of
linear equations and inequalities in mathematical and
real-world situations
Objective 2f – DoK 2
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Testing Hints:1) Circle important information2) Eliminate answer choices
Strategies:3) Solve for y (y=); AKA: slope-
intercept form4) Use the y = button to input
the equations; graph to see a solution
Objective 2f – DoK 2
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Add, subtract, multiply, and divide
polynomial expressions
Objective 2g – DoK 1
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Testing Hints:1) Circle important information2) Eliminate answer choices
Strategies:3) Complete distributive property4) Combine “like terms”
Remember:5) When multiplying, exponents
get larger6) When dividing, exponents get
smallerObjective 2g – DoK 1
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Factor polynomials by using Greatest Common Factor (GCF) and factor quadratics that
have only rational roots
Objective 2h – DoK 1
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Testing Hints:1) Circle important information2) Eliminate answer choices
Strategies:3) Use the Boolean Method of
solving using the calculator by storing a value in for the variable and solving
4) Complete the foil method on the answer choices
Objective 2h – DoK 1
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Determine the solutions to
quadratic equations by using graphing, tables, completing
the square, the Quadratic formula,
and factoringObjective 2i – DoK 1
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Testing Hints:1) Circle important information2) Eliminate answer choices
Strategies:3) Use the substitution property
using the answer choices given to identify which answers work
Objective 2i – DoK 1
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A
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B
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Justify why some polynomials are prime over the
rational number system
Objective 2j – DoK 2
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Testing Hints:1) Circle important information2) Eliminate answer choices
Strategies:3) Prime is NOT pretty!!! It can
NOT be factored!
Objective 2j – DoK 2
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H
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D
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C
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C
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Graph and analyze absolute value and quadratic functions
Objective 2k – DoK 2
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Testing Hints:1) Circle important information2) Eliminate answer choices
Strategies:3) Use the substitution property to
identify which answer choice makes the equation true
4) Type the equation into the y= button and find the table of values or graph it
Objective 2k – DoK 2
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A
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B
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J
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B
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B
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A
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D
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Write, graph, and analyze inequalities
in two variables
Objective 2l – DoK 2
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Testing Hints:1) Circle important information2) Eliminate answer choices
Strategies:3) Solve for y (y=); AKA: slope-
intercept form4) Use the y = button to input
the equations; graph to see a solution
5) Use substitution property
Objective 2f – DoK 2
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A
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D
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J
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F
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J
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F
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D
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We are done with
Competency Two!