Mathematics Textbook Correlation to the 2016 Algebra I Standards of Learning and Curriculum Framework

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1 and Curriculum Framework Publisher: McGraw-Hill School Education Text: Algebra 1 Copyright date 2018 A.1 The student will a) represent verbal quantitative situations algebraically; and TE: 5-9, 23-29, 66 #11-#13, 67 #49, 71 #1-#3, 79-84, 90 #43, 92 #71 b) evaluate algebraic expressions for given replacement values of the variables. TE: 5-9, 52 ex 4, 53 #11-#19, 54 #33-#44, 70 #69-#74, 71 #19-#20, 74 #4, 75 #13 Algebra I 1 of 10 Virginia Department of Education 2017

2 and Curriculum Framework A.2 The student will perform operations on polynomials, including a) applying the laws of exponents to perform operations on expressions; TE: , , , , 481 #4-#14, 484 #6, 485 #9 b) adding, subtracting, multiplying, and dividing polynomials; and TE: , , , , , , 547, 548 #31-#37 c) factoring completely first- and second-degree binomials and trinomials in one variable. TE: 519, , , , , 548 #38-#48, 549, 550 Algebra I 2 of 10 Virginia Department of Education 2017

3 and Curriculum Framework A.3 The student will simplify a) square roots of whole numbers and monomial algebraic expressions; TE: P7-P10, , 477 #37-#51, 481 #18-#21, 484 #4 b) cube roots of integers; and TE: 411 ex 2, 412 ex 3, 414 #5, 415 #59, 418 #19, 477 #27, 481 #7 c) numerical expressions containing square or cube roots. TE: 411 ex 2, 412 ex 3, 414 #5, 415 #59, 418 #19, , 477 #27, 484 #4 Algebra I 3 of 10 Virginia Department of Education 2017

4 and Curriculum Framework A.4 The student will solve a) multistep linear equations in one variable algebraically; TE: 85-86, 87-93, 94, , , 114 #9-#12, 129 #16- #24, 130 #25-#36 b) quadratic equations in one variable algebraically; TE: , , 605 #22-#27, , 639 #31-#36, 640, 643 #12-#14, 645 c) literal equations for a specified variable; TE: , 132 #61-#79, 133 #21-#22, 137 #15 d) systems of two linear equations in two variables algebraically and graphically; and TE: , , , , , 367, , e) practical problems involving equations and systems of equations. TE: 85-86, 87-93, 94, , , , , 640 Algebra I 4 of 10 Virginia Department of Education 2017

5 and Curriculum Framework A.5 The student will a) solve multistep linear inequalities in one variable algebraically and represent the solution graphically; TE: , 295, , , 308 #10-#17, , 329, 331 #4-#10 b) represent the solution of linear inequalities in two variables graphically; TE: , 327, 330 #44-#52, 331 #23-#24, 335 #7 c) solve practical problems involving inequalities; and TE: , 295, , , 308 #10-#17, , 329, 331 #4-#10 d) represent the solution to a system of inequalities graphically. TE: , 381, 386, 387 #20-#23, 391 #13 Algebra I 5 of 10 Virginia Department of Education 2017

6 and Curriculum Framework A.6 The student will a) determine the slope of a line when given an equation of the line, the graph of the line, or two points on the line; and TE: 159, , 169 #20-#21, 170, 214 #27-#31, 217 #10-#13, 220 #7, 221 #10 b) write the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line; and TE: , 182 ex 2, 185 #1-#8, 186 #16-#23, 189 #64, 214 #32-#35, 220 #2, c) graph linear equations in two variables. TE: , , , 169 $3-#5, , 213 #11-#17, 217 #2-#5, 233 ex 2 Algebra I 6 of 10 Virginia Department of Education 2017

7 and Curriculum Framework A.7 The student will investigate and analyze linear and quadratic function families and their characteristics both algebraically and graphically, including a) determining whether a relation is a function; TE: 49-56, 70 #66-#68, 71 #18, 73, 74 #3, 75 #15 b) domain and range; TE: 42, 45 #1-#2, 46 #27-#28, 48 #43, 50 ex 2, 53 #10, 69 #58-#60, 71 #17 c) zeros; TE: , 169 #9-#15, 213 #18-#25, 217 #6-#9, , 605 #17-#20, 639 #24-#29, 643 #10-#11 d) intercepts; TE: 58 ex 1, 61 #1, 62 #5-#8, 70 #76, 71 #21, 144 ex 2, 145 ex 3, 147 #5-#6 Algebra I 7 of 10 Virginia Department of Education 2017

8 and Curriculum Framework A.7 The student will investigate and analyze linear and quadratic function families and their characteristics both algebraically and graphically, including e) values of a function for elements in its domain; and TE: 42, 45 #1-#2, 46 #27-#28, 48 #43, 50 ex 2, 53 #10, 69 #58-#60, 71 #17 f) connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs. TE: , , , 169 $3-#5, , , 605 #1-#4, 638 #11-#14 Algebra I 8 of 10 Virginia Department of Education 2017

9 and Curriculum Framework A.8 The student, given a data set or practical situation, will analyze a relation to determine whether a direct or inverse variation exists, and represent a direct variation algebraically and graphically and an inverse variation algebraically. CT: Lessons: Online in ConnectED: In the dropdown menu icon go to Resources - Program Resources - Additional Content - find and click: Direct Variation; Inverse Variation Algebra I 9 of 10 Virginia Department of Education 2017

10 and Curriculum Framework A.9 The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve practical problems, using mathematical models of linear and quadratic functions. TE: , , 278 #38-#39, 279 #43-#44, 281 #16, 283, 285 #10, Algebra I 10 of 10 Virginia Department of Education 2017

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