Textbook Alignment to the Utah Core Algebra 1 This alignment has been completed using an Independent Alignment Vendor from the USOE approved list (www.schools.utah.gov/curr/imc/indvendor.html.) Yes N/A No N/A Name of Company and Individual Conducting Alignment: Chris McHugh, Inc. A Credential Sheet has been completed on the above company/evaluator and is (Please check one of the following): x On record with the USOE. The Credential Sheet is attached to this alignment. Instructional Materials Evaluation Criteria (name and grade of the core document used to align): Algebra 1 Core Curriculum Title: Introductory Algebra, 2010 (Lial) ISBN#: 0131360965 (SE); 0321576373 (AIE) Publisher: Pearson Overall percentage of coverage in the Student Edition (SE) and Teacher Edition (TE) of the Utah State Core Curriculum: 86% Overall percentage of coverage in ancillary materials of the Utah Core Curriculum: N/A STANDARD I: Students will expand number sense to understand, perform operations, and solve problems with real numbers.
Percentage of coverage in the student and teacher edition for Standard I: 88% in Percentage of coverage not in student or teacher edition, but covered the ancillary material for Standard I: N/A OBJECTIVES & INDICATORS Objective 1.1: Represent real numbers as points on the number line and distinguish rational numbers from irrational numbers. a. Define a rational number as a point on the number line that can be expressed as the ratio of two integers, and points that cannot be so expressed as irrational. b. Classify numbers as rational or irrational, knowing that rational numbers can be expressed as terminating or repeating decimals and irrational numbers can be expressed as nonterminating, non-repeating decimals. c. Classify pi and square roots of non-perfect square numbers as irrational. d. Place rational and irrational numbers on a number line between two integers. Objective 1.2: Compute fluently and make reasonable estimates with rational and irrational numbers. a. Simplify, add, subtract, multiply, and divide expressions with square roots. Coverage in Student Edition(SE) and Teacher Edition (TE) (pg # s, etc.) SE/TE: 50-51, 109, 594 SE/TE: 55, 594, 600, 647, 651 SE/TE: 51, 55 SE/TE: 51, 55, 114 SE/TE: 592-593, 595, 599-600, 603-606, 609-610, 613-616, 617-619, 621-622, 623-629, 631-632, 644-646, 647-649, 651-652, 654, Coverage in Ancillary Material (titles, pg # s, etc.) Not covered in TE, SE or ancillaries
704 b. Evaluate and simplify numerical expressions SE/TE: 31-32, 35-36, 61-65, 68- containing rational numbers and square roots 69, 71-73, 81, 86-88, 89-90, 111, using the order of operations. 113-116, 118, 119-120, 217, 301, 429, 587, 653, 703 c. Compute solutions to problems, represent SE/TE: 30-32, 35-36, 59-66, 67- answers in exact form, and determine the 76, 77-81, 85-88, 89-90, 111, 113- reasonableness of answers. 116, 118, 119-120, 217, 301, 429, 587, 592-593, 598-600, 602, 603-606, 608-611, 613-616, 619, 621, 623-625, 627-628, 631-632, 644-645, 647-650, 651, 653-654, 703 d. Calculate the measures of the sides of a right SE/TE: 478-479, 483-484, 489, triangle using the Pythagorean Theorem. 495, 498, 500, 595-597, 600-602, 644, 647, 652 STANDARD II: Students will extend concepts of proportion to represent and analyze linear relations. Percentage of coverage in the student and teacher edition for Standard II: 83% in Percentage of coverage not in student or teacher edition, but covered the ancillary material for Standard II: N/A OBJECTIVES & INDICATORS Objective 2.1: Represent and analyze the slope of a line. a. Identify the slope of a line when given points, a graph, or an equation. b. Identify horizontal and vertical lines given the equations or slopes. SE/TE: 253, 258 Coverage in Student Edition(SE) and Teacher Edition (TE) (pg # s, etc.) SE/TE: 249-255, 257-260, 287, 291, 293, 296-298, 302, 360, 430, 499, 703 Coverage in Ancillary Material (titles, pg # s, etc.) Not covered in TE, SE or ancillaries
c. Determine the effect of changes in slope or y- intercept t in y = mx + b. d. Determine and explain the meaning of slopes and intercepts using real-world examples. Objective 2.2 Model and interpret problems having a constant rate of change using linear functions. a. Write algebraic expressions or equations to generalize visual patterns, numerical patterns, relations, data sets, or scatter plots. b. Represent linear equations in slope-intercept form, y = mx + b, and standard form, Ax+ By =C. c. Distinguish between linear and non-linear functions by examining a table, equation, or graph. d. Interpret the slope of a linear function as a rate of change in real-world situations. Objective 2.3: Represent and analyze linear relationships using algebraic equations, expressions, and graphs. a. Write the equation of a line when given two points or the slope and a point on the line. b. Approximate the equation of a line given the graph of a line. c. Identify the x- and y-intercepts from an equation or graph of a line or a table of values. d. Graph linear relations and inequalities by plotting points, by finding x- and y intercepts, or by using the slope and any point on the line. SE/TE: Opportunities to address this standard can be found on the following pages: 261-262 SE/TE: 250, 260, 273, 653 SE/TE: 266-269, 274, 294, 298 SE/TE: 261, 263-265, 269, 271-272, 276, 288, 291-292, 293, 297, 302, 360 SE/TE: 490 SE/TE: 260, 267 SE/TE: 261, 263-265, 269, 271-273, 276, 288, 291-292, 293, 297, 302, 653, 703 SE/TE: 269-270, 653 SE/TE: 238, 243-245, 290, 293, 295-296, 302, 430, 499 SE/TE: 235-248, 262-263, 270-271, 275-276, 277-280, 283-284, 287-288, 292, 293-294, 295-298, 302, 359, 430,
499, 587, 653, 703 STANDARD III: Students will develop fluency with the language and operations of algebra to analyze and represent relationships. Percentage of coverage in the student and teacher edition for Standard III: 94% Percentage of coverage not in student or teacher edition, but covered in the ancillary material for Standard III: N/A OBJECTIVES & INDICATORS Objective 3.1: Simplify polynomials and the quotient of monomials. a. Simplify and evaluate monomial expressions and formulas. Coverage in Student Edition(SE) and Teacher Edition (TE) (pg # s, etc.) SE/TE: 39, 43-44, 174, 176-177, 209 b. Add and subtract polynomials. SE/TE: 362-370, 420, 423, 426, 427, 430, 500, 587, 654, 704 c. Multiply monomials by a polynomial. SE/TE: 379, 383, 424, 426, 427, 430 d. Multiply binomials. SE/TE: 381-384, 386-387, 389-390, 420, 424, 426, 427, 430, 500 e. Simplify the quotient of monomials using positive exponents. Objective 3.2: Solve and interpret linear equations and inequalities in various situations including real-world problems. a. Solve single-variable linear equations and inequalities algebraically and graphically. SE/TE: 395, 400, 425, 587 SE/TE: 124-130, 131-136, 137-143, 145-148, 151-152, 153-166, 167-170, 173-178, 189, 192-202, 206-208, 209-212, 213-214, 218, Coverage in Ancillary Material (titles, pg # s, etc.) Not covered in TE, SE or ancillaries
301, 359, 429-430, 499, 587, 653, 703 b. Solve real-world problems involving constant rates SE/TE: 241-242, 246-248, 260, of change. 273 c. Solve equations for a specified variable. SE/TE: 171-172, 178, 207, 210, 213, 218, 301, 429, 499, 549-550, 553-554, 583-584, 586, 587, 703 d. Solve proportions that include algebraic firstdegree expressions. Objective 3.3: Solve and interpret pairs of linear equations and inequalities. a. Solve systems of two linear equations graphically and algebraically with and without technology. b. Determine the number of possible solutions for a system of two linear equations. c. Graph a system of linear inequalities and identify the solution. Objective 3.4: Factor polynomials with common monomial factors and factor simple quadratic expressions. a. Find the greatest common monomial factor of a polynomial. b. Factor trinomials with integer coefficients of the form x2 + bx + c. c. Factor the difference of two squares and perfect square trinomials. SE/TE: 180-184, 186-188, 190, 208, 210-212, 214, 218, 301, 429, 551-552, 560-561, 567, 587-588 SE/TE: 304-307, 309-312, 313-320, 321-327, 329-330, 331-336, 338-342, 346, 350-351, 352, 353-356, 357-358, 360, 430, 499-500, 587, 653-654, 703 SE/TE: 307-308, 311 SE/TE: 343-345, 347-348, 351, 355-356, 358, 360 SE/TE: 434-435, 439-440, 491, 495, 497, 704 SE/TE: 441-446, 449, 457, 459-462, 465-466, 488, 491-492, 497, 654 SE/TE: 457-462, 465-466, 489, 492, 495, 497-498, 500, 654, 704
Objective 3.5: Solve quadratic equations using factoring or by taking square roots. a. Solve quadratic equations that can be simplified to SE/TE: 656, 659, 697 the form x2 = a where a 0 by taking square roots. b. Solve quadratic equations using factoring. SE/TE: 467-474, 476-479, 481-484, 489, 493-494, 495-496, 498, 500, 698, 701, 500 c. Write a quadratic equation when given the SE/TE: Opportunities to address solutions. this standard can be found on the following pages: 467-474 STANDARD IV: Students will understand concepts from statistics and apply statistical methods to solve problems. Percentage of coverage in the student and teacher edition for Standard IV: 67% in Percentage of coverage not in student or teacher edition, but covered the ancillary material for Standard IV: N/A OBJECTIVES & INDICATORS Objective 4.1: Objective 1: Summarize, display, and analyze bivariate data. a. Collect, record, organize, and display a set of data with at least two variables. b. Determine whether the relationship between two variables is approximately linear or non-linear by examination of a scatter plot. c. Characterize the relationship between two linear related variables as having positive, negative, or approximately zero correlation. Coverage in Student Edition(SE) and Teacher Edition (TE) (pg # s, etc.) SE/TE: 228, 233-234, 266-267, 274 SE/TE: 228, 233-234, 267, 274 SE/TE: Opportunities to address this standard can be found on the following pages:227-228, 233- Coverage in Ancillary Material (titles, pg # s, etc.) Not covered in TE, SE or ancillaries
Objective 4.2: Estimate, interpret, and use lines fit to bivariate data. a. Estimate the equation of a line of best fit to make and test conjectures. b. Interpret the slope and y-intercept of a line through data. c. Predict y-values for given x-values when appropriate using a line fitted to bivariate numerical data. 234, 266-267, 274 SE/TE: 266-267, 274, 294 SE/TE: 267 SE/TE: 248, 267, 274, 294