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1 McDougal Littell California: Pre-Algebra Algebra 1 correlated to the California Math Content s Grades 7 8

2 McDougal Littell California Pre-Algebra

3 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP) NUMBER SENSE STANDARDS MAP for a Basic Grade-Level Program Grade 7 Mathematics Language Primary Citations Supporting Citations 1.0 Students know the properties of, and compute with, rational numbers expressed in a variety of forms: 1.1 Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10), compare rational numbers in general. 1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers. 1.3 Convert fractions to decimals and percents and use these representations in estimations, computations, and applications. 1.4 Differentiate between rational and irrational numbers. 1.5 Know that every rational number is either a terminating or repeating decimal and be able to convert terminating decimals into reduced fractions. 1.6 Calculate the percentage of increases and decreases of a quantity. PE/TE: pp , 71-75, , , , , See all references for NS1.1-NS1.7 below. PE/TE: pp , (See Example 4 and related exercises.), , 221 (Example 6), 223 (Exs ), (See Example 2 and related exercises.), 773 PE/TE: pp , 28-33, 34-38, 41-46, , , , , , , , 830 PE/TE: pp , , , , , (See Examples 1-2 and related exercises.), 835 PE/TE: pp , 111, , , 318, CASRP: pp See all references for NS1.1-NS1.7 below. PE/TE: pp. 53, 57, 212, 213, 214, 215, 258, 263, 318, 322 CASRP: pp. 2-3, PE/TE: pp. 53, 54, 55, 56, 57, 111, 112, 113, 259, 260, 262, 263 CASRP: pp. 4-6, , PE/TE: pp. 258, 262, 263, 368, 369, 372, 373 CASRP: pp. 7-8, 137, , PE/TE: pp PE/TE: p. 505 CASRP: pp. 9-10, 139, PE/TE: pp , (See Example 1 and related exercises.) PE/TE: pp. 258, 262, 263 CASRP: pp , 137, PE/TE: pp PE/TE: pp. 370, 372, 373 CASRP: pp , Solve problems that involve discounts, markups, commissions, and profit and compute simple and compound interest. PE/TE: pp , , , 836 PE/TE: pp. 371, 372, 373 CASRP: pp , California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 1

4 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP) Language Primary Citations Supporting Citations 2.0 Students use exponents, powers, and roots and use exponents in working with fractions: 2.1 Understand negative whole-number exponents. Multiply and divide expressions involving exponents with a common base. 2.2 Add and subtract fractions by using factoring to find common denominators. PE/TE: pp , , , See all references for NS2.1-NS2.5 below. PE/TE: pp , , 700 CASRP: pp See all references for NS2.1-NS2.5 below. PE/TE: pp , , PE/TE: pp. 212, 213, 214, 215 CASRP: pp PE/TE: pp PE/TE: pp. 259, 262, 263 CASRP: pp , 143, Multiply, divide, and simplify rational numbers by using exponent rules. PE/TE: pp , , PE/TE: pp. 212, 213, 214, 215, 700, 702, 703 CASRP: pp , 148, Use the inverse relationship between raising to a power and extracting the root of a perfect square integer; for an integer that is not square, determine without a calculator the two integers between which its square root lies and explain why. 2.5 Understand the meaning of the absolute value of a number; interpret the absolute value as the distance of the number from zero on a number line; and determine the absolute value of real numbers. PE/TE: pp , PE/TE: pp. 500, 501, 504, 505 CASRP: pp , 138, PE/TE: pp , PE/TE: pp. 53, 56, 57 CASRP: pp , 138, California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 2

5 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP) Language Primary Citations Supporting Citations ALGEBRA AND FUNCTIONS 1.0 Students express quantitative relationships by using algebraic terminology, expressions, equations, inequalities, and graphs: 1.1 Use variables and appropriate operations to write an expression, an equation, an inequality, or a system of equations or inequalities that represents a verbal description (e.g., three less than a number, half as large as area A). 1.2 Use the correct order of operations to evaluate algebraic expressions such as 3(2x + 5) 2. PE/TE: pp. 5-9, 47-51, 78-83, 85-89, See all references for AF1.1-AF1.5 below. PE/TE: pp. 5-9, 78-83, 85-89, 90-95, , , , , , , , , , , , , , , , , , PE/TE: pp , 55, , , 211, , , CASRP: pp See all references for AF1.1-AF1.5 below. PE/TE: pp. 57, 110, 112, 113, 154, 158, 159, 447 CASRP: pp , 153, PE/TE: pp , PE/TE: pp. 53, 56, 57 CASRP: pp , 149, Simplify numerical expressions by applying properties of rational numbers (e.g., identity, inverse, distributive, associative, commutative) and justify the process used. 1.4 Use algebraic terminology (e.g., variable, equation, term, coefficient, inequality, expression, constant) correctly. 1.5 Represent quantitative relationships graphically and interpret the meaning of a specific part of a graph in the situation represented by the graph. PE/TE: pp , 63-68, 71-75, 78-83, , , PE/TE: pp. 5-9, 47-51, 78-83, 85-89, , , PE/TE: pp , (See Example 5 and related exercises.), , , , , , PE/TE: pp. 108, 109, 112, 113, 211, 214, 260, 261, 262 CASRP: pp , PE/TE: pp. 52, 53, 55, 56, 57, , 112, 113, , 158, 159, , 446, 447, , 702, 703 CASRP: pp , 149, , , 159, PE/TE: pp , 446, 447, 700, 701, 702, 703 CASRP: pp , 158, California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 3

6 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP) Language Primary Citations Supporting Citations 2.0 Students interpret and evaluate expressions involving integer powers and simple roots: 2.1 Interpret positive whole-number powers as repeated multiplication and negative wholenumber powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents. 2.2 Multiply and divide monomials; extend the process of taking powers and extracting roots to monomials when the latter results in a monomial with an integer exponent. 3.0 Students graph and interpret linear and some nonlinear functions: 3.1 Graph functions of the form y = nx 2 and y = nx 3 and use in solving problems. 3.2 Plot the values from the volumes of threedimensional shapes for various values of the edge lengths (e.g., cubes with varying edge lengths or a triangle prism with a fixed height and an equilateral triangle base of varying lengths). 3.3 Graph linear functions, noting that the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always the same and know that the ratio ("rise over run") is called the slope of a graph. 3.4 Plot the values of quantities whose ratios are always the same (e.g., cost to the number of an item, feet to inches, circumference to diameter of a circle). Fit a line to the plot and understand that the slope of the line equals the quantities. PE/TE: pp , , , , See all references for AF2.1-AF2.2 below. PE/TE: pp , , , , PE/TE: pp (See Example 4 and related exercises.), , , 239 (Example 4), 240 (Exs ), , , PE/TE: pp , , , , See all references for AF3.1-AF3.4 below. PE/TE: pp , , 260, 501 CASRP: pp See all references for AF2.1-AF2.2 below. PE/TE: pp. 52, 53, 56, 57, 212, 213, 214, 215 CASRP: pp PE/TE: pp. 211, 212, 213, 214, 215, 260, 262, 501, 504, 505 CASRP: pp , PE/TE: pp. 444, 700 CASRP: pp See all references for AF3.1-AF3.4 below. PE/TE: pp , 852 PE/TE: pp. 700, 702, 703 CASRP: pp , PE/TE: p. 848 PE/TE: p. 683 (Ex. 46) CASRP: pp , PE/TE: pp , , , , , , 837 PE/TE: pp. 444, 446 CASRP: pp , 160, PE/TE: pp , PE/TE: pp. 446, 447 CASRP: pp , 159, California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 4

7 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP) Language Primary Citations Supporting Citations 4.0 Students solve simple linear equations and inequalities over the rational numbers: 4.1 Solve two-step linear equations and inequalities in one variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results. 4.2 Solve multistep problems involving rate, average speed, distance, and time or a direct variation. PE/TE: pp See all references for AF4.1-AF4.2 below. PE/TE: pp , , , , PE/TE: pp. 122 (Ex. 7), 123 (Exs ), 128 (Ex. 37), 134 (Ex. 31), , , , , , 423 (Exs ), PE/TE: pp. 154, 157, 261, CASRP: pp See all references for AF4.1-AF4.2 below. PE/TE: pp. 154, 157, 158, 159, 261, 262, 263 CASRP: pp , 154, PE/TE: pp. 154, 157, 158, 159, 318, 319, 322, 447 CASRP: pp , California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 5

8 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP) Language Primary Citations Supporting Citations MEASUREMENT AND GEOMETRY 1.0 Students choose appropriate units of measure and use ratios to convert within and between measurement systems to solve problems: 1.1 Compare weights, capacities, geometric measures, times, and temperatures within and between measurement systems (e.g., miles per hour and feet per second, cubic inches to cubic centimeters). 1.2 Construct and read drawings and models made to scale. 1.3 Use measures expressed as rates (e.g., speed, density) and measures expressed as products (e.g., person-days) to solve problems; check the units of the solutions; and use dimensional analysis to check the reasonableness of the answer. 2.0 Students compute the perimeter, area, and volume of common geometric objects and use the results to find measures of less common objects. They know how perimeter, area, and volume are affected by changes of scale: 2.1 Use formulas routinely for finding the perimeter and area of basic two-dimensional figures and the surface area and volume of basic threedimensional figures, including rectangles, parallelograms, trapezoids, squares, triangles, circles, prisms, and cylinders. 2.2 Estimate and compute the area of more complex or irregular two- and three-dimensional figures by breaking the figures down into more basic geometric objects. PE/TE: pp , 76-77, , See all references for MG1.1-MG1.3 below. PE/TE: pp (See Example 5 and related exercises.), , , PE/TE: pp. 110, , 321 CASRP: pp See all references for MG1.1-MG1.3 below. PE/TE: p. 113 CASRP: pp , 164, PE/TE: pp PE/TE: pp. 321, 323 CASRP: pp , 165, PE/TE: pp (See Example 5 and related exercises.), 76-77, , , (See Example 2 and related exercises.), , PE/TE: pp , , , See all references for MG2.1-MG2.4 below. PE/TE: pp , 73 (Example 4), 74 (Exs ), , , , , , , , PE/TE: pp , (See Example 5 and related exercises.), , 549 (Exs. 31, 32), PE/TE: pp. 110, 112, 113, 318, 319, 323 CASRP: pp , 166, PE/TE: pp CASRP: pp See all references for MG2.1-MG2.4 below. PE/TE: pp. 112, , 568, 569 CASRP: pp , , 176, PE/TE: pp. 569 CASRP: pp , , 176, California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 6

9 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP) Language Primary Citations Supporting Citations 2.3 Compute the length of the perimeter, the surface area of the faces, and the volume of a threedimensional object built from rectangular solids. Understand that when the lengths of all dimensions are multiplied by a scale factor, the surface area is multiplied by the square of the scale factor and the volume is multiplied by the cube of the scale factor. 2.4 Relate the changes in measurement with a change of scale to the units used (e.g., square inches, cubic feet) and to conversions between units (1 square foot = 144 square inches or [1 ft. 2 ] = [144 in. 2 ], 1 cubic inch is approximately cubic centimeters or [1 in. 3 ] = [16.38 cm 3 ]). 3.0 Students know the Pythagorean theorem and deepen their understanding of plane and solid geometric shapes by constructing figures that meet given conditions and by identifying attributes of figures: 3.1 Identify and construct basic elements of geometric figures (e.g., altitudes, mid-points, diagonals, angle bisectors, and perpendicular bisectors; central angles, radii, diameters, and chords of circles) by using a compass and straightedge. 3.2 Understand and use coordinate graphs to plot simple figures, determine lengths and areas related to them, and determine their image under translations and reflections. 3.3 Know and understand the Pythagorean theorem and its converse and use it to find the length of the missing side of a right triangle and the lengths of other line segments and, in some situations, empirically verify the Pythagorean theorem by direct measurement. PE/TE: pp PE/TE: pp. 542 (Ex. 17), 556 (Ex. 21), 751 (Ex. 18) CASRP: pp , 176, PE/TE: pp PE/TE: pp. 527, 553 (Example 2), 556 (Ex. 22) CASRP: pp , 164, PE/TE: pp , , , See all references for MG3.1-MG3.6 below. PE/TE: pp , , , , , 794, PE/TE: pp , 514 (Ex. 22), 525 (Exs ), , , , PE/TE: pp. 320, 501, 754 CASRP: pp See all references for MG3.1-MG3.6 below. PE/TE: pp , , 720 (Ex. 23) CASRP: pp , 170, PE/TE: pp. 754, 756, 757 CASRP: pp , PE/TE: pp , PE/TE: pp. 501, 504, 505 CASRP: pp , 171, California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 7

10 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP) Language Primary Citations Supporting Citations 3.4 Demonstrate an understanding of conditions that indicate two geometrical figures are congruent and what congruence means about the relationships between the sides and angles of the two figures. 3.5 Construct two-dimensional patterns for threedimensional models, such as cylinders, prisms, and cones. 3.6 Identify elements of three-dimensional geometric objects (e.g., diagonals of rectangular solids) and describe how two or more objects are related in space (e.g., skew lines, the possible ways three planes might intersect). PE/TE: pp. 286, , 729 PE/TE: pp. 320, 322, 323 CASRP: pp , 172, PE/TE: pp , CASRP: pp , 177, PE/TE: pp , , PE/TE: p. 542 (Ex. 18) CASRP: pp , California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 8

11 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP) Language Primary Citations Supporting Citations STATISTICS, DATA ANALYSIS, AND PROBABILITY 1.0 Students collect, organize, and represent data sets that have one or more variables and identify relationships among variables within a data set by hand and through the use of an electronic spreadsheet software program: 1.1 Know various forms of display for data sets, including a stem-and-leaf plot or box-andwhisker plot; use the forms to display a single set of data or to compare two sets of data. 1.2 Represent two numerical variables on a scatterplot and informally describe how the data points are distributed and any apparent relationship that exists between the two variables (e.g., between time spent on homework and grade level). 1.3 Understand the meaning of, and be able to compute, the minimum, the lower quartile, the median, the upper quartile, and the maximum of a data set. PE/TE: pp (See Example 5 and related exercises.), , , See all references for SDAP1.1-SDAP1.3 below. PE/TE: pp , , , , , PE/TE: pp (See Example 3 and related exercises.), (See Example 5 and related exercises.) PE/TE: pp CASRP: pp See all references for SDAP1.1-SDAP1.3 below. PE/TE: pp. 640, 641, 644, 645 CASRP: pp , 181, PE/TE: pp. 57, 446 CASRP: pp , 182, PE/TE: pp , PE/TE: pp. 641, 645 CASRP: pp , California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 9

12 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP) Language Primary Citations Supporting Citations MATHEMATICAL REASONING 1.0 Students make decisions about how to approach problems: 1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information, sequencing and prioritizing information, and observing patterns. (Gr. 7, NS 1.1; Gr. 7, AF 1.1) PE/TE, pp ; (Gr. 7, NS 1.2) PE/TE, pp ; (Gr. 7, AF 4.2) PE/TE, pp See all references for MR1.1-MR1.3 below. (Gr. 7, NS 1.2; Gr. 7, MG 1.1) PE/TE, pp ; (Gr. 7, NS 1.2) PE/TE, pp (See Example 4 and related exercises.); (Gr. 7, NS 1.2) PE/TE, p. 41; (Gr. 7, NS 1.1; Gr. 7, AF 1.1) PE/TE, pp ; (Gr. 7, NS 2.3) PE/TE, p. 193; (Gr. 7, AF 2.1) PE/TE, p. 199; (Gr. 7, NS 1.2) PE/TE, p. 242; (Gr. 7, AF 1.1; Gr. 7, AF 1.5) PE/TE, pp ; (Gr. 7, MG 3.3) PE/TE, p. 482; (Gr. 7, NS 1.2; Gr. 7, MG 1.1) PE/TE, p. 796; (Gr. 7, SDAP 1.0) PE/TE, p. 802 (Gr. 7, NS 1.2) PE/TE, p. 105 (Ex. 11); (Gr. 7, NS 1.3) PE/TE, p. 333 (Exs. 58, 59); (Gr. 7, MG 3.3) PE/TE, p. 467 (Ex. 6) (Gr. 7, NS 1.2; Gr. 7, MG 1.1; Gr. 7, MG 2.1) CASRP, pp See all references for MR1.1-MR1.3 below. (Gr. 7, AF 2.1) PE/TE, p. 13 (Ex. 37); (Gr. 7 AF 1.1; Prepare for Gr. 7, AF 4.1) PE/TE, p. 87 (Ex. 7); (Gr. 7, AF 1.1; Prepare for Gr. 7, AF 4.1) PE/TE, p. 99 (Ex. 7); (Gr. 7, NS 1.2) PE/TE, p. 105 (Ex. 11); (Prepare for Gr. 7, AF 1.3) PE/TE, p. 179 (Ex. 11); (Gr. 7, NS 1.2) PE/TE, p. 184 (Ex. 11); (Gr. 7, NS 2.3) PE/TE, p. 201 (Ex. 15); (Gr. 7, NS 1.2), PE/TE, p. 227 (Ex. 9) (Gr. 7, NS 1.2) CASRP, pp California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 10

13 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP) Language Primary Citations Supporting Citations 1.2 Formulate and justify mathematical conjectures based on a general description of the mathematical question or problem posed. 1.3 Determine when and how to break a problem into simpler parts. 2.0 Students use strategies, skills, and concepts in finding solutions: (Gr. 7, NS 1.2) PE/TE, p. 28; (Prepare for Gr. 7, NS 2.2) PE/TE, p. 171; (Prepare for Gr. 7, NS 2.2) PE/TE, p. 176 (Ex. 67); (Gr. 7, MG 3.4) PE/TE, p. 287; (Gr. 7, AF 3.3) PE/TE, p. 403; (Gr. 7, MG 3.3) PE/TE, p. 464; (Gr. 7, MG 3.3) PE/TE, p. 482; (Gr. 7, MG 3.3) PE/TE, p. 488; (Gr. 7, MG 2.1) PE/TE, p. 527 (Gr. 7, NS 1.2; Gr. 7, MG 1.1) PE/TE, pp ; (Gr. 7, AF 4.2) PE/TE, pp ; (Gr. 7, SDAP 1.0) PE/TE, p. 802 (Gr. 7, AF 4.0) PE/TE, p. 139; (Gr. 7, NS 1.2) PE/TE, pp ; (Gr. 7, AF 3.3; Gr. 7, NS 1.2) PE/TE, 232 (Example 2 Study Strategy); (Gr. 7, AF 4.0) PE/TE, pp ; (Gr. 7, NS 1.3) PE/TE, p. 334; (Gr. 7, NS 2.4) PE/TE, pp (See Examples 2, 3, 5 and related exercises.); (Gr. 7, AF 3.4) PE/TE, p. 488; (Gr. 7, MG 3.3) PE/TE, pp ; (Gr. 7, MG 3.1) PE/TE, p. 721 See all references for MR2.1-MR2.8 below. (Gr. 7, NS 2.3) PE/TE, p. 193; (Gr. 7, NS 1.2) PE/TE, p. 242; (Gr. 7, NS 1.3) PE/TE, p. 333 (Exs. 58, 59); (Gr. 7, NS 1.6) PE/TE, p. 356 (Ex. 27); (Gr. 7, AF 1.5) PE/TE, p. 432 (Ex. 4); (Gr. 7, MG 3.2) PE/TE, p. 733 (Ex. 19) (Gr. 7, MG 1.1) CASRP, pp (Gr. 7, SDAP 1.2) PE/TE, p. 49 (Ex. 7); (Gr. 7, AF 1.1), PE/TE, p. 122 (Ex. 7); (Gr. 7, AF 4.1) PE/TE, p. 249 (Ex. 9); (Gr. 7, AF 3.3) PE/TE, p. 394 (Ex. 11); (Gr. 7, MG 3.3) PE/TE, p. 467 (Ex. 6) (Gr. 7, MG 2.1) CASRP, pp (Gr. 7, AF 1.2) PE/TE, p. 20 (Ex. 39); (Gr. 7, AF 1.3) PE/TE, p. 67 (Ex. 49); (Gr. 7, MG 2.1) PE/TE, p. 161; (Gr. 7, NS 1.3) PE/TE, p. 341 (Example 4); (Gr. 7, AF 3.0) PE/TE, p. 389 (Ex. 24); (Gr. 7, MG 3.3) PE/TE, p. 499; (Gr. 7, MG 2.1; Gr. 7, MG 2.2) PE/TE, pp (Gr. 7, NS 1.0; Gr. 7, NS 1.1; Gr. 7, NS 1.2; Gr. 7, AF 1.0; Gr. 7, MG 2.1; Gr. 7, SDAP 1.1; Gr. 7, SDAP 1.1) CASRP, pp See all references for MR2.1-MR2.8 below. California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 11

14 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP) Language Primary Citations Supporting Citations 2.1 Use estimation to verify the reasonableness of calculated results. 2.2 Apply strategies and results from simpler problems to more complex problems. 2.3 Estimate unknown quantities graphically and solve for them by using logical reasoning and arithmetic and algebraic techniques. (Gr. 7, NS 1.2) PE/TE, p. 18 (See Example 4 and related exercises.); (Gr. 7, NS 1.2) PE/TE, p. 160; (Gr. 7, NS 1.2) PE/TE, p. 232 (Example 2 Study Strategy); (Gr. 7, NS 1.3) PE/TE, p. 336 (Example 2 Study Strategy); (Gr. 7, NS 1.6) PE/TE, p. 353 (Example 2 Study Strategy) (Gr. 7, MG 3.1) PE/TE, p. 721; (Gr. 7, AF 4.2) PE/TE, p. 800 (Gr. 7, NS 2.2) PE/TE, p. 230; (Gr. 7, NS 1.3) PE/TE, p. 334; (Gr. 7, NS 1.3) PE/TE, pp ; (Gr. 7, AF 3.3) PE/TE, p. 401 (Ex. 29c); (Gr. 7, AF 3.4) PE/TE, pp (Gr. 7, NS 1.2) PE/TE, p. 32 (Exs ); (Gr. 7, NS 1.3) PE/TE, p. 341 (Example 4) (Gr. 7, NS 1.1; Gr. 7, NS 1.2) CASRP, pp (Gr. 7, AF 1.1; Gr.7, AF 4.1) PE/TE, pp ; (Gr. 7, SDAP 1.0) PE/TE, p. 305; (Gr. 7, MG 3.2) PE/TE, pp ; (Gr. 7, MG 2.1; Gr. 7, MG 2.2) PE/TE, pp ; (Gr. 7, MG 2.1; Gr. 7, MG 3.5) PE/TE, pp ; (Gr. 7, MG 3.5) PE/TE, p. 549 (Ex. 30) (Gr. 7, MG 2.1) CASRP, pp (Gr. 7, SDAP 1.0) PE/TE, p. 160; (Gr. 7, AF 3.0) PE/TE, p. 389 (Ex. 24); (Gr. 7, SDAP 1.0) PE/TE, p. 598 (Example 3); (Gr. 7, SDAP 1.0) PE/TE, p. 782 (Gr. 7, SDAP 1.1; Gr. 7, SDAP 1.2) CASRP, pp California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 12

15 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP) 2.4 Make and test conjectures by using both inductive and deductive reasoning. Language Primary Citations Supporting Citations 2.5 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning. (Gr. 7, NS 1.2) PE/TE, p. 41; (Gr. 7, AF 4.1) PE/TE, p. 143; (Gr. 7, NS 2.3) PE/TE, p. 193; (Gr. 7, NS 1.2) PE/TE, p. 242; (Gr. 7, MG 3.4) PE/TE, p. 287; (Gr. 7, MG 3.3) PE/TE, p. 464; (Gr. 7, MG 3.3) PE/TE, p. 482; (Gr. 7, AF 3.4) PE/TE, p. 488; (Gr. 7, MG 2.1) PE/TE, p. 527 (Gr. 7, AF 1.1; Gr. 7, AF 1.4) PE/TE, p. 9 (Exs. 54, 55); (Gr. 7, AF 1.3) PE/TE, p. 173 (Example 2); (Gr. 7, AF 4.0) PE/TE, pp ; (Gr. 7, AF 4.2) PE/TE, pp ; (Gr. 7, AF 3.3) PE/TE, pp ; (Gr. 7, NS 1.4) PE/TE, p. 471; (Gr. 7, MG 3.2) PE/TE, p. 476; (Gr. 7, MG 2.1) PE/TE, p. 528; (Gr. 7, AF 3.1) PE/TE, p. 680; (Gr. 7, AF 1.5) PE/TE, p ; (Gr. 7, AF 1.5) PE/TE, p. 795; (Gr. 7, AF 1.5) PE/TE, pp ; (Gr. 7, AF 1.0) PE/TE, p. 801 (Gr. 7, AF 1.3) PE/TE, p. 171 (Ex. 3) (Gr. 7, AF 1.0) CASRP, pp (Gr. 7, AF 1.3) PE/TE, p. 67 (Ex. 49); (Gr. 7, NS 2.3) PE/TE, p. 198 (Ex. 59) (Gr. 7, NS 1.0) CASRP, pp California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 13

16 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP) Language Primary Citations Supporting Citations 2.6 Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions with evidence in both verbal and symbolic work. (Gr. 7, AF 4.2) PE/TE, pp ; (Gr. 7, NS 1.7) PE/TE, pp ; (Gr. 7, AF 3.3; Gr. 7, AF 3.4) PE/TE, pp ; (Gr. 7, MG 3.3) PE/TE, pp ; (Gr. 7, AF 1.1) PE/TE, pp ; (Gr. 7, AF 1.5) PE/TE, pp (Gr. 7, AF 1.2) PE/TE, p. 20 (Ex. 39); (Gr. 7, AF 4.1) PE/TE, p. 89 (Ex. 40); (Gr. 7, AF 4.1) PE/TE, p. 142 (Ex. 44); (Gr. 7, NS 2.2) PE/TE, p. 235 (Exs. 51, 52); (Gr. 7, AF 4.2) PE/TE, p. 284 (Exs ); (Gr. 7, NS 1.4) PE/TE, p. 474 (Exs. 41, 43); (Gr. 7, MG 2.1; Gr. 7, MG 2.2) PE/TE, p. 526 (Ex. 34) (Gr. 7, NS 1.0) CASRP, pp California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 14

17 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP) Language Primary Citations Supporting Citations 2.7 Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy. (Gr. 7, AF 3.4) PE/TE, pp (See Example 5 and related exercises.); (Gr. 7, NS 2.4) PE/TE, pp (See Examples 2, 3, 5 and related exercises.); (Gr. 7, NS 2.4) PE/TE, pp (See Example 4 and related exercises.); (Gr. 7, MG 3.3) PE/TE, pp ; (Gr. 7, NS 1.4) PE/TE, pp ; (Gr. 7, MG 3.3) PE/TE, pp ; (Gr. 7, MG 3.3) PE/TE, p. 488; (Gr. 7, MG 3.3) PE/TE, pp ; (Gr. 7, MG 3.3) PE/TE, pp ; (Gr. 7, MG 2.1) PE/TE, pp ; (Gr. 7, MG 2.1; Gr. 7, MG 3.5) PE/TE, pp (See Example 3 and related exercises.); (Gr. 7, MG 3.5) PE/TE, p. 544 (Example 1); (Gr. 7, MG 3.5) PE/TE, pp (See Example 3 and related exercises.); (Gr. 7, MG 2.1) PE/TE, pp (See Examples 2, 3 and related exercises.); (Gr. 7, MG 2.1) PE/TE, pp (See Examples 2, 3 and related exercises.); (Gr. 7, AF 3.1) PE/TE, pp (See Example 4 and related exercises.); (Gr. 7, NS 1.0) PE/TE, pp (Gr. 7, MG 3.2) PE/TE, p. 481 (Ex. 52); (Gr. 7, MG 3.3) PE/TE, p. 499 (Gr. 7, NS 1.0) CASRP, pp California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 15

18 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP) Language Primary Citations Supporting Citations 2.8 Make precise calculations and check the validity of the results from the context of the problem. 3.0 Students determine a solution is complete and move beyond a particular problem by generalizing to other situations: 3.1 Evaluate the reasonableness of the solution in the context of the original situation. (Gr. 7, NS 1.2; Gr. 7, MG 1.1) PE/TE, pp ; (Gr. 7, AF 4.0) PE/TE, p. 91 (Example 1); (Gr. 7, AF 4.0) PE/TE, p. 97 (Example 1); (Gr. 7, AF 4.0) PE/TE, pp ; (Gr. 7, AF 4.0) PE/TE, p. 139; (Gr. 7, NS 1.2) PE/TE, p. 243 (Example 1); (Gr. 7, AF 3.0) PE/TE, pp ; (Gr. 7, NS 1.2) PE/TE, p. 774; (Gr. 7, NS 1.2; Gr. 7, MG 2.1) PE/TE, p. 797 (Gr. 7, AF 4.0) PE/TE, p. 96; (Gr. 7, NS 1.2) PE/TE, p. 230; (Gr. 7, MG 3.1) PE/TE, pp See all references for MR3.1-MR3.3 below. (Gr. 7, AF 4.2) PE/TE, pp ; (Gr. 7, NS 2.2) PE/TE, p. 232 (Example 2 Study Strategy); (Gr. 7, NS 1.3) PE/TE, p. 336 (Example 2 Study Strategy); (Gr. 7, NS 1.3) PE/TE, p. 341 (Example 4); (Gr. 7, NS 1.6) PE/TE, p. 353 (Example 2 Study Strategy); (Gr. 7, AF 3.3) PE/TE, p. 413 (Example 2 Study Strategy); (Algebra 1, 8.0) PE/TE, p. 414 (Example 4 Study Strategy); (Gr. 7, AF 3.3) PE/TE, p. 427 (Example 3 Study Strategy); (Gr. 7, AF 3.3; Gr. 7, AF 3.4) PE/TE, pp (Gr. 7, NS 1.2) PE/TE, p. 32 (Exs ); (Gr. 7, AF 4.0) PE/TE, p. 135 (Exs ); (Gr. 7, AF 4.1) PE/TE, p. 150; (Gr. 7, MG 2.1) PE/TE, p. 161; (Gr. 7, AF 3.0) PE/TE, p. 391 (Gr. 7, NS 1.0) CASRP, pp (Gr. 7, NS 2.1) PE/TE, p. 203 (Ex. 61); (Gr. 7, AF 4.2) PE/TE, p. 277 (Ex. 7) (Gr. 7, AF 1.0; Gr. 7, AF 1.1; Gr. 7, MG 2.1) CASRP, pp See all references for MR3.1-MR3.3 below. (Gr. 7, AF 3.3) PE/TE, p. 401 (Ex. 29) (Gr. 7, MG 2.1) CASRP, pp California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 16

19 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP) Language Primary Citations Supporting Citations 3.2 Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems. 3.3 Develop generalizations of the results obtained and the strategies used and apply them to new problem situations. (Gr. 7, AF 4.2) PE/TE, pp ; (Gr. 7, AF 4.1) PE/TE, p. 119; (Gr. 7, NS 1.2) PE/TE, p. 230; (Gr. 7, NS 1.2) PE/TE, p. 242; (Gr. 7, AF 4.2) PE/TE, pp ; (Gr. 7, NS 1.3) PE/TE, p. 334; (Gr. 7, MG 3.5) PE/TE, p. 537; (Algebra 1, 10.0) PE/TE, p. 656 (Gr. 7, AF 4.0) PE/TE, p. 96; (Gr. 7, AF 4.2) PE/TE, pp ; (Gr. 7, AF 4.1) PE/TE, p. 119; (Gr. 7, NS 1.2) PE/TE, p. 242; (Gr. 7, MG 3.3) PE/TE, p. 464; (Gr. 7, MG 3.3) PE/TE, pp ; (Gr. 7, MG 3.5) PE/TE, p. 537; (Gr. 7, AF 1.1) PE/TE, pp (Gr. 7, AF 4.0) PE/TE, p. 133 (Ex. 9); (Gr. 7, AF 4.2) PE/TE, p. 277 (Ex. 7); (Gr. 7, NS 1.6) PE/TE, p. 355 (Ex. 13) (Gr. 7, AF 1.0) CASRP pp (Gr. 7, NS 1.2) PE/TE, p. 33 (Exs ); (Gr. 7, NS 2.1) PE/TE, p. 203 (Ex. 61); (Gr. 7, AF 4.2) PE/TE, p. 284 (Ex. 44); (Gr. 7, SDAP 3.2) PE/TE, p. 311 (Ex. 21) (Gr. 7, AF 1.1) CASRP, pp California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 17

20 McDougal Littell California Algebra 1

21 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP), Resource Book, Assessment Book, Notetaking Guide, Practice Workbook STANDARDS MAP for a Basic Grade-Level Program Grade Eight Mathematics (Algebra I) ALGEBRA I 1.0 Students identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers, including closure properties for the four basic arithmetic operations where applicable: Language Primary Citations Supporting Citations 1.1 Students use properties of numbers to demonstrate whether assertions are true or false. 2.0 Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents. 3.0 Students solve equations and inequalities involving absolute values. PE/TE: 75-78, 84, 89-91, 96, 100, 103, 104, 106, 120, 488, 489, 490, 491, 492, 495, 498, 499, 501, 504, 506, 508, 510, 543, 544, 547, , 939, 945, PE/TE: 77 (Exs ), 82 (Exs ), 91 (Exs ), 92 (Exs ), 99 (Exs. 3-4), 106 (Exs ), 492 (Ex. 39), 499 (Ex. 20), 507 (Exs ) PE/TE: 66, 67, , 106, , 113, 114, 115, 121, 488, , , 502, , , 543, 544, 547, 939, 945 PE/TE: , , 412, 417, 418, 419, 943 CASRP: 2-4, 91, Chapter 2: 16-20, 34, 39-43, 45 Chapter 8: 9-10 Assessment Book: 16-19, 21-23, 25 Notetaking Guide: 29, 33-37, 39 Practice Workbook: 18-19, 22, 26, 119, , 172 CASRP: 5-6, 91, Chapter 2: 50 CASRP: 7-9, 92, Chapter 2: 9 Chapter 8: 27-31, 33, 35 Assessment Book: 20, 22, 26, , 112, 114, 116, 118 Notetaking Guide: 25, 39-41, 43, Practice Workbook: 16, 26, 28, CASRP: 10-12, Chapter 6: 60-64, 66-67, 70-78, Assessment Book: 77, 81, 83, Notetaking Guide: Practice Workbook: California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 1

22 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP), Resource Book, Assessment Book, Notetaking Guide, Practice Workbook 4.0 Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12. Language Primary Citations Supporting Citations 5.0 Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step. 6.0 Students graph a linear equation and compute the x- and y- intercepts (e.g., graph 2x + 6y = 4). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2x + 6y < 4). 7.0 Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the point-slope formula. PE/TE: , , , 193, 194, 197, , 416, 419, 940, 943 PE/TE: , , , 193, 194, 197, , 416, 419, 940, 943 PE/TE: , 222, , , 272, 273, 275, 404, , 418, 419, 941, 943 PE/TE: 215, 219 (Exs. 3-9), , 316, 346, 349, 942 CASRP: 13-14, 96, Chapter 3: 17-21, 23-25, 29-33, 35, 39, 41-45, 47, 49, 90, Chapter 6: Assessment Book: 31-32, 34-36, 38, 40, 43, Notetaking Guide: 52-59, Practice Workbook: 33-37, CASRP: 15-17, Chapter 3: 17-21, 23-25, 29-33, 35, 39, 41-45, 47, 49, 90, 94 Chapter 6: Assessment Book: 31-32, 34-36, 38, 40-43, Notetaking Guide: 52-59, Practice Workbook: 32-37, CASRP: 18-21, 104, Chapter 4: 20-25, 27, 29 Chapter 6: 87-92, 94 Assessment Book: 46-47, 51, 53, 77, 79, 81, 83, 85 Notetaking Guide: 75-82, Practice Workbook: 49-54, 58-60, CASRP: 22-23, Chapter 4: 20, 22, 24 Chapter 5: 27, 29, 31, 33-34, Assessment Book: 49, 61 Notetaking Guide: Practice Workbook: 49, California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 2

23 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP), Resource Book, Assessment Book, Notetaking Guide, Practice Workbook 8.0 Students understand the concepts of parallel lines and perpendicular lines and how those slopes are related. Students are able to find the equation of a line perpendicular to a given line that passes through a given point. Language Primary Citations Supporting Citations 9.0 Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets Students add, subtract, multiply, and divide monomials and polynomials. Students solve multistep problems, including word problems, by using these techniques Students apply basic factoring techniques to second-and simple third-degree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials. PE/TE: 246, 248, 249, , 331, 343, 347, 349, 352, 353, 459, 462, 463, 464, 478, 479, 482, 942, 944 PE/TE: , 434, , , , 458, , , 473, 475, 476, 477, 478, 479, 480, 481, 482, 483, 485, 944 PE/TE: , 560, 561, , , 580, 581, 589, 599, 605, 616, 617, 621, 783, , 800, 801, 809, 832, 835, 946, 949 PE/TE: 576, 578, 579, 582, , 592, , , , 618, 619, 620, 621, 946 CASRP: 24-26, 108, Chapter 5: 52-56, Chapter 7: 59 Assessment Book: 62 Notetaking Guide: Practice Workbook: 59, CASRP: 27-30, Chapter 7: 19-23, 25-27, 30-34, 36-38, 40-45, 47, 49-50, 83 Assessment Book: , 108 Notetaking Guide: Practice Workbook: CASRP: 31-35, , Chapter 9: 7-9, 11, 13-15, 18-22, 24-26, 28-32, Chapter 12: 34-38, 41 Assessment Book: 124, 127, 129, 131, , 171, 173, 175 Notetaking Guide: , Practice Workbook: , 186 CASRP: 36-39, , Chapter 9: 41-45, 49, 53-57, 59-61, 64-68, 71, 74-78, 80-81, 84-88, 91 Assessment Book: , 128, 130, 132 Notetaking Guide: Practice Workbook: 139, 141, 143, 145, 147 California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 3

24 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP), Resource Book, Assessment Book, Notetaking Guide, Practice Workbook 12.0 Students simplify fractions with polynomials in the numerator and denominator by factoring both and reducing them to the lowest terms. Language Primary Citations Supporting Citations 13.0 Students add, subtract, multiply, and divide rational expressions and functions. Students solve both computationally and conceptually challenging problems by using these techniques Students solve a quadratic equation by factoring or completing the square Students apply algebraic techniques to solve rate problems, work problems, and percent mixture problems. PE/TE: , 801, , 833, 835, 949 PE/TE: , , 826, 833, 834, 835, 949 PE/TE: , , , , , 676, 698, 699, 701, 947 PE/TE: , 240, 241, 242, 245, 246, 248, 249, 250, 255, 256, 258, 259, , 265, 267, 269, 273, 275, 279, 295, 298, 299, 304, 307, 308, 317, 346, 438, 441, 458, 483 CASRP: 40-41, 123, Chapter 12: Assessment Book: 169, 172, 173, 176 Notetaking Guide: Practice Workbook: CASRP: 42-44, 124, Chapter 12: 58-62, 65, 69-73, 75 Assessment Book: 170, 172, 174, 176 Notetaking Guide: Practice Workbook: CASRP: 45-47, Chapter 9: 53-55, 57, 64-66, 74-76, 78 Chapter 10: Assessment Book: 125, 126, 128, 130, 133, 135, 136, 143, 145, 147 Notetaking Guide: , 209, , Practice Workbook: 141, 143, 145, CASRP: 48-50, Chapter 4: 48, 50, 52, 54, 56 Chapter 7: 21 Assessment Book: 49, 51, 56, 93, 100 Notetaking Guide: 86 Practice Workbook: 57, 68, 73 California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 4

25 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP), Resource Book, Assessment Book, Notetaking Guide, Practice Workbook 16.0 Students understand the concepts of a relation and a function, determine whether a given relation defines a function, and give pertinent information about given relations and functions. Language Primary Citations Supporting Citations 17.0 Students determine the domain of independent variables and the range of dependent variables defined by a graph, a set of ordered pairs, or a symbolic expression Students determine whether a relation defined by a graph, a set of ordered pairs, or a symbolic expression is a function and justify the conclusion Students know the quadratic formula and are familiar with its proof by completing the square Students use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations. PE/TE: 35-40, 41, 42, 43-48, 49-50, 56, 57, 61, 938 PE/TE: 35-39, 43, 44, 45, 46, 48, 56, 57, 61, 207, 209, 210, 217, 218, 219, 220, 221, 521, 524, 532, 535, 631, 633, , 713, 714, 715, 716, 717, , 779, 780, 781, 782, 938, 941, 948 CASRP: 51-52, 128, Chapter 1: 62-66, 68-69, 72-79, 81-82, 87 Assessment Book: 3, 5, 7, 9-11 Notetaking Guide: Practice Workbook: CASRP: 53-55, Chapter 1: 62-66, 68-69, 72-79, 81-82, 87 Chapter 8: Chapter 11: 8-14, 17 Chapter 12: 19, 21, Assessment Book: 3, 5, 7, 9-11, 168, 171, 173 Notetaking Guide: 19-21, , Practice Workbook: 11, 13-14, 47, PE/TE: CASRP: 56-57, 128, PE/TE: , 695, 696, 699, CASRP: 58-59, 118, Chapter 10: 71-75, Assessment Book: 140, 147 Notetaking Guide: Practice Workbook: PE/TE: , 699, 701, 947 CASRP: 60-61, 118, Chapter 10: 71-75, Notetaking Guide: Practice Workbook: California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 5

26 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP), Resource Book, Assessment Book, Notetaking Guide, Practice Workbook 21.0 Students graph quadratic functions and know that their roots are the x-intercepts. Language Primary Citations Supporting Citations 22.0 Students use the quadratic formula or factoring techniques or both to determine whether the graph of a quadratic function will intersect the x- axis in zero, one, or two points Students apply quadratic equations to physical problems, such as the motion of an object under the force of gravity Students use and know simple aspects of a logical argument: 24.1 Students explain the difference between inductive and deductive reasoning and identify and provide examples of each Students identify the hypothesis and conclusion in logical deduction. PE/TE: 677, , 691, 700, 701, 947 CASRP: 62-65, 119, Chapter 10: 81-85, 87 Assessment Book: 139, , 144, Notetaking Guide: Practice Workbook: PE/TE: , 677, , 691, 700, 701, 947 PE/TE: 646, 648, 649, 654, 657, 658, , 661, 665, 667, 668, 672, 675, 676, 680, 682, 683, 701, 702, 704, 705 PE/TE: 66-67, 68, 92, 100, 108, 109, 113, 114, , 124, 125, 172, 318, 464, 493, 499, 727 CASRP: 66-67, 119, Chapter 10: Assessment Book: 143 Practice Workbook: CASRP: 68-69, Chapter 10: 38, 40, 61-63, 68 Assessment Book: 142 Practice Workbook: 157, 161, 165 CASRP: 70-75, 100, Chapter 2: 5-7, 12 PE/TE: CASRP: 70-71, 100, PE/TE: 66-67, 68 (Exs ), 108, 109, 113, 114, 124, 125 CASRP: 72-73, 100, , 120 Notetaking Guide: 26 Practice Workbook: 16 California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 6

27 Components: Pupil Edition (PE), Teacher s Edition (TE), California s Review and Practice (CASRP), Resource Book, Assessment Book, Notetaking Guide, Practice Workbook 24.3 Students use counterexamples to show that an assertion is false and recognize that a single counterexample is sufficient to refute an assertion. Language Primary Citations Supporting Citations 25.0 Students use properties of the number system to judge the validity of results, to justify each step of a procedure, and to prove or disprove statements: 25.1 Students use properties of numbers to construct simple, valid arguments (direct and indirect) for, or formulate counterexamples to, claimed assertions. PE/TE: 66-67, 68 (Exs ), 92 (Exs ), 108, 109, 113, 114, 124, 125, 318, 385 (Exs ), 402 (Exs ), 464, 507 PE/TE: 75, 78, 89-90, 91, 96-98, 99, 100, 105, 118, 123, 150, 154, 155, 156, 369, 370, 436, 513, 563, 607, 609, 611, 617, 620, 721, 722, 822 PE/TE: 66-67, 68, 75, 78, 89-90, 91, 96-98, 99, 100, 105, 108, 118, 123, 150, 154, 155, 156, 318, 369, 370, 436, 464, 490, 496, 499, , 513, 563, 607, 609, 611, 617, 620, , 775, 822 CASRP: 74-75, 100, Chapter 2: 5-7, 12, 26, 84 Assessment Book: 20-21, 23 Notetaking Guide: 26 Practice Workbook: 16 CASRP: 76-81, Chapter 2: 19-20, 23, 39-41, 43, 46 Assessment Book: 19-21, 25 Notetaking Guide: 29, 34, 35, 37, 39, 41 Practice Workbook: 22 CASRP: 76-77, Chapter 2: 5-7, 12, 26, 84 Chapter 8: 29 Notetaking Guide: 26 Practice Workbook: Students judge the validity of an argument according to whether the properties of the real number system and the order of operations have been applied correctly at each step. PE/TE: 8-12, 13, 54, 75, 78, 89-90, 91, 96-98, 99, 100, 105, 118, 123, 150, 154, 155, 156, 369, 370, 436, 513, 563, 607, 609, 611, 617, 620, 721, 722, 822 CASRP: 78-79, Chapter 2: 39-41, 50 Practice Workbook: Given a specific algebraic statement involving linear, quadratic, or absolute value expressions or equations or inequalities, students determine whether the statement is true sometimes, always, or never. PE/TE: 22, 23, 24, 55, 57, 156, 157, 385 (Exs ), 392, 393, 402 (Exs ), 419, 656 CASRP: 80-81, California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 7

28 CA 240 5/ CC2

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