Algebra I Commandments 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 situations Objective 2a – DoK 2
Testing Hints: Circle important information Eliminate answer choices Strategies: Work out on your own and compare steps 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: Circle important information Eliminate answer choices Strategies: Work out on your own and compare steps 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: Circle important information Eliminate answer choices Vocabulary: Domain – x-values Range – y-values 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: Circle important information Eliminate answer choices Strategies: Solve for y (y=) 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: Circle important information Eliminate answer choices Strategies: Solve for y (y=); AKA: slope-intercept form 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: Circle important information Eliminate answer choices Strategies: Solve for y (y=); AKA: slope-intercept form 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: Circle important information Eliminate answer choices Strategies: Complete distributive property Combine “like terms” Remember: When multiplying, exponents get larger When dividing, exponents get smaller Objective 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: Circle important information Eliminate answer choices Strategies: Use the Boolean Method of solving using the calculator by storing a value in for the variable and solving 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 factoring Objective 2i – DoK 1
Testing Hints: Circle important information Eliminate answer choices Strategies: 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: Circle important information Eliminate answer choices Strategies: 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: Circle important information Eliminate answer choices Strategies: Use the substitution property to identify which answer choice makes the equation true 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: Circle important information Eliminate answer choices Strategies: Solve for y (y=); AKA: slope-intercept form Use the y = button to input the equations; graph to see a solution Use substitution property Objective 2f – DoK 2
A
D
J
F
J
F
D
We are done with Competency Two!