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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 realworld 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 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 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 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 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: slopeintercept 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: slopeintercept 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 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 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 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! 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 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: slopeintercept 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!