Algebra ICommandment

s

Algebraic Thinking

Competency 2

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

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

C

B

D

F

F

B

B

F

Solve and graph absolute value equations and inequalities in one variable

Objective 2b – DoK 2

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

B

D

J

J

F

J

H

H

Analyze the relationship

between x and y values, determine whether a relation is a function, and

identify domain and range

Objective 2c – DoK 2

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

F

H

H

H

A

C

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

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

B

B

C

D

D

F

F

B

Graph and analyze linear

functions

Objective 2e – DoK 2

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

C

C

B

J

J

A

F

C

Use algebraic and graphical methods to solve systems of

linear equations and inequalities in mathematical and

real-world situations

Objective 2f – DoK 2

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

D

D

C

D

A

H

B

D

Add, subtract, multiply, and divide

polynomial expressions

Objective 2g – DoK 1

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

A

C

D

C

C

G

A

Factor polynomials by using Greatest Common Factor (GCF) and factor quadratics that

have only rational roots

Objective 2h – DoK 1

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

B

D

A

D

A

C

Determine the solutions to

quadratic equations by using graphing, tables, completing

the square, the Quadratic formula,

and factoringObjective 2i – DoK 1

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

A

B

C

F

G

G

J

Justify why some polynomials are prime over the

rational number system

Objective 2j – DoK 2

Testing Hints:1) Circle important information2) Eliminate answer choices

Strategies:3) Prime is NOT pretty!!! It can

NOT be factored!

Objective 2j – DoK 2

D

A

H

H

D

C

C

Graph and analyze absolute value and quadratic functions

Objective 2k – DoK 2

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

A

B

J

B

B

A

D

Write, graph, and analyze inequalities

in two variables

Objective 2l – DoK 2

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

A

D

J

F

J

F

D

We are done with

Competency Two!