Algebra I Commandments Algebraic Thinking Competency 2 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: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Work out on your own and compare steps 2)Use substitution property with answer choices to see what works Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Work out on your own and compare steps 2)Use substitution property with answer choices to see what works Objective 2a – DoK 2
Solve and graph absolute value equations and inequalities in one variable Objective 2b – DoK 2
Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Work out on your own and compare steps 2)Use substitution property with answer choices to see what works Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Work out on your own and compare steps 2)Use substitution property with answer choices to see what works Objective 2b – DoK 2
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 information 2)Eliminate answer choices Vocabulary: 1)Domain – x -values 2)Range – y -values 3)Function – No x -values repeat; passes the vertical line test Testing Hints: 1)Circle important information 2)Eliminate answer choices Vocabulary: 1)Domain – x -values 2)Range – y -values 3)Function – No x -values repeat; passes the vertical line test Objective 2c – DoK 2
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 information 2)Eliminate answer choices Strategies: 1)Solve for y ( y =) 2)Use the y = button to input the equation; get the table values to identify the change Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Solve for y ( y =) 2)Use the y = button to input the equation; get the table values to identify the change Objective 2d – DoK 2
Graph and analyze linear functions Objective 2e – DoK 2
Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Solve for y ( y =); AKA: slope- intercept form 2)Use the y = button to input the equation; get the table values to identify the coordinates or graph to see a solution Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Solve for y ( y =); AKA: slope- intercept form 2)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
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 information 2)Eliminate answer choices Strategies: 1)Solve for y ( y =); AKA: slope- intercept form 2)Use the y = button to input the equations; graph to see a solution Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Solve for y ( y =); AKA: slope- intercept form 2)Use the y = button to input the equations; graph to see a solution Objective 2f – DoK 2
Add, subtract, multiply, and divide polynomial expressions Objective 2g – DoK 1
Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Complete distributive property 2)Combine “like terms” Remember: 1)When multiplying, exponents get larger 2)When dividing, exponents get smaller Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Complete distributive property 2)Combine “like terms” Remember: 1)When multiplying, exponents get larger 2)When dividing, exponents get smaller Objective 2g – DoK 1
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 information 2)Eliminate answer choices Strategies: 1)Use the Boolean Method of solving using the calculator by storing a value in for the variable and solving 2)Complete the foil method on the answer choices Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Use the Boolean Method of solving using the calculator by storing a value in for the variable and solving 2)Complete the foil method on the answer choices Objective 2h – DoK 1
Determine the solutions to quadratic equations by using graphing, tables, completing the square, the Quadratic formula, and factoring Objective 2i – DoK 1
Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Use the substitution property using the answer choices given to identify which answers work Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Use the substitution property using the answer choices given to identify which answers work Objective 2i – DoK 1
Justify why some polynomials are prime over the rational number system Objective 2j – DoK 2
Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Prime is NOT pretty!!! It can NOT be factored! Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Prime is NOT pretty!!! It can NOT be factored! Objective 2j – DoK 2
Graph and analyze absolute value and quadratic functions Objective 2k – DoK 2
Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Use the substitution property to identify which answer choice makes the equation true 2)Type the equation into the y = button and find the table of values or graph it Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Use the substitution property to identify which answer choice makes the equation true 2)Type the equation into the y = button and find the table of values or graph it Objective 2k – DoK 2
Write, graph, and analyze inequalities in two variables Objective 2l – DoK 2
Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Solve for y ( y =); AKA: slope- intercept form 2)Use the y = button to input the equations; graph to see a solution 3)Use substitution property Testing Hints: 1)Circle important information 2)Eliminate answer choices Strategies: 1)Solve for y ( y =); AKA: slope- intercept form 2)Use the y = button to input the equations; graph to see a solution 3)Use substitution property Objective 2f – DoK 2
We are done with Competency Two!