mcdougal littell california · california math content standards grades 7–8 correlated to the...

CaliforniaMath Content StandardsGrades 7–8

correlated to the

McDougal Littell California:Pre-AlgebraAlgebra 1

McDougal Littell California

Pre-Algebra

Publisher: McDougal Littell, Inc.Program Title: McDougal Littell California Pre-Algebra and McDougal Littell California Algebra 1Components: Pupil Edition (PE), Teacher’s Edition (TE), California Standards Review and Practice (CASRP)Grade Level(s): 7–8

© California Department of Education Basic Grade-Level Program Standards Map SBE Approved November 2006Page 1

STANDARDS MAP for a Basic Grade-Level ProgramGrade 7 – Mathematics

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Standard Language Primary Citations Supporting Citations

NUMBER SENSE

1.0 Students know the properties of, andcompute with, rational numbers expressed ina variety of forms:

PE/TE: pp. 63-68, 71-75, 204-209, 219-224,253-257, 351-356, 470-474

See all references for NS1.1-NS1.7 below.

PE/TE: pp. 53-55, 111, 212-213, 258-260,318, 368-371

CASRP: pp. 2-18See all references for NS1.1-NS1.7 below.

1.1 Read, write, and compare rational numbers inscientific notation (positive and negative powersof 10), compare rational numbers in general.

PE/TE: pp. 22-26, 187-191 (See Example 4and related exercises.), 204-209, 221(Example 6), 223 (Exs. 57-60), 269-274(See Example 2 and related exercises.), 773

PE/TE: pp. 53, 57, 212, 213, 214, 215, 258,263, 318, 322

CASRP: pp. 2-3, 140-142

1.2 Add, subtract, multiply, and divide rationalnumbers (integers, fractions, and terminatingdecimals) and take positive rational numbers towhole-number powers.

PE/TE: pp. 10-13, 28-33, 34-38, 41-46, 102-107, 225-229, 230-235, 237-241, 242-246,774-776, 779-780, 830

PE/TE: pp. 53, 54, 55, 56, 57, 111, 112, 113,259, 260, 262, 263CASRP: pp. 4-6, 143-144, 146-147

1.3 Convert fractions to decimals and percents anduse these representations in estimations,computations, and applications.

PE/TE: pp. 219-224, 329-333, 334-339, 340-344, 345-349, 352-356 (See Examples 1-2and related exercises.), 835

PE/TE: pp. 258, 262, 263, 368, 369, 372, 373

CASRP: pp. 7-8, 137, 141-142, 145-147

1.4 Differentiate between rational and irrationalnumbers.

PE/TE: pp. 470-474 PE/TE: p. 505CASRP: pp. 9-10, 139, 141-142

1.5 Know that every rational number is either aterminating or repeating decimal and be able toconvert terminating decimals into reducedfractions.

PE/TE: pp. 219-224, 470-474 (See Example1 and related exercises.)

PE/TE: pp. 258, 262, 263

CASRP: pp. 11-12, 137, 141-142

1.6 Calculate the percentage of increases anddecreases of a quantity.

PE/TE: pp. 351-356 PE/TE: pp. 370, 372, 373

CASRP: pp. 13-15, 145-147

1.7 Solve problems that involve discounts, markups,commissions, and profit and compute simpleand compound interest.

PE/TE: pp. 345-349, 357-361, 362-367, 836 PE/TE: pp. 371, 372, 373CASRP: pp. 16-18, 145-147



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2.0 Students use exponents, powers, and rootsand use exponents in working with fractions:

PE/TE: pp. 10-13, 193-198, 453-457,674-678See all references for NS2.1-NS2.5 below.

PE/TE: pp. 212-213, 500-501, 700

CASRP: pp. 19-28

See all references for NS2.1-NS2.5 below.

2.1 Understand negative whole-number exponents.Multiply and divide expressions involvingexponents with a common base.

PE/TE: pp. 193-198, 199-203, 204-209 PE/TE: pp. 212, 213, 214, 215

CASRP: pp. 19-20

2.2 Add and subtract fractions by using factoring tofind common denominators.

PE/TE: pp. 230-235 PE/TE: pp. 259, 262, 263

CASRP: pp. 21-22, 143, 146-147

2.3 Multiply, divide, and simplify rational numbers byusing exponent rules.

PE/TE: pp. 193-198, 199-203, 674-678 PE/TE: pp. 212, 213, 214, 215, 700, 702, 703CASRP: pp. 23-24, 148, 151-152

2.4 Use the inverse relationship between raising to apower and extracting the root of a perfect squareinteger; for an integer that is not square,determine without a calculator the two integersbetween which its square root lies and explainwhy.

PE/TE: pp. 453-457, 458-461 PE/TE: pp. 500, 501, 504, 505

CASRP: pp. 25-26, 138, 141-142

2.5 Understand the meaning of the absolute value ofa number; interpret the absolute value as thedistance of the number from zero on a numberline; and determine the absolute value of realnumbers.

PE/TE: pp. 22-26, 29-33 PE/TE: pp. 53, 56, 57

CASRP: pp. 27-28, 138, 141-142



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ALGEBRA AND FUNCTIONS

1.0 Students express quantitative relationshipsby using algebraic terminology, expressions,equations, inequalities, and graphs:

PE/TE: pp. 5-9, 47-51, 78-83, 85-89, 138-142

See all references for AF1.1-AF1.5 below.

PE/TE: pp. 52-53, 55, 108-111, 154-157, 211,260-261, 442-445, 698-701CASRP: pp. 29-40See all references for AF1.1-AF1.5 below.

1.1 Use variables and appropriate operations towrite an expression, an equation, an inequality,or a system of equations or inequalities thatrepresents a verbal description (e.g., three lessthan a number, half as large as area A).

PE/TE: pp. 5-9, 78-83, 85-89, 90-95, 96-101,102-107, 114-115, 119-124, 125-129, 130-136, 138-142, 143-148, 149-153, 247-252,253-257, 398-402, 412-417, 419-425,426-430, 431-435, 436-441, 841-842

PE/TE: pp. 57, 110, 112, 113, 154, 158, 159,447

CASRP: pp. 29-31, 153, 156-157

1.2 Use the correct order of operations to evaluatealgebraic expressions such as 3(2x + 5)2.

PE/TE: pp. 16-21, 453-457 PE/TE: pp. 53, 56, 57

CASRP: pp. 32-33, 149, 151-152

1.3 Simplify numerical expressions by applyingproperties of rational numbers (e.g., identity,inverse, distributive, associative, commutative)and justify the process used.

PE/TE: pp. 28-33, 63-68, 71-75, 78-83,182-186, 242-246, 247-252

PE/TE: pp. 108, 109, 112, 113, 211, 214, 260,261, 262CASRP: pp. 34-35, 149-152

1.4 Use algebraic terminology (e.g., variable,equation, term, coefficient, inequality,expression, constant) correctly.

PE/TE: pp. 5-9, 47-51, 78-83, 85-89,138-142, 391-397, 651-655

PE/TE: pp. 52, 53, 55, 56, 57, 108-111, 112,113, 154-157, 158, 159, 442-445, 446, 447,698-701, 702, 703

CASRP: pp. 36-37, 149, 151-153, 156-157,159, 162-163

1.5 Represent quantitative relationships graphicallyand interpret the meaning of a specific part of agraph in the situation represented by the graph.

PE/TE: pp. 398-402, 412-417 (See Example5 and related exercises.), 419-425, 426-430,431-435, 436-441, 679-685, 686-691

PE/TE: pp. 442-445, 446, 447, 700, 701, 702,703CASRP: pp. 38-40, 158, 162-163



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2.0 Students interpret and evaluate expressionsinvolving integer powers and simple roots:

PE/TE: pp. 10-13, 193-198, 453-457,458-461, 674-678See all references for AF2.1-AF2.2 below.

PE/TE: pp. 52-53, 211-213, 260, 501

CASRP: pp. 41-44


2.1 Interpret positive whole-number powers asrepeated multiplication and negative whole-number powers as repeated division ormultiplication by the multiplicative inverse.Simplify and evaluate expressions that includeexponents.

PE/TE: pp. 10-13, 193-198, 199-203, 204-209, 830-831

PE/TE: pp. 52, 53, 56, 57, 212, 213, 214, 215

CASRP: pp. 41-42

2.2 Multiply and divide monomials; extend theprocess of taking powers and extracting roots tomonomials when the latter results in a monomialwith an integer exponent.

PE/TE: pp. 182-186 (See Example 4 andrelated exercises.), 193-198, 199-203, 239(Example 4), 240 (Exs. 23-28), 458-461,674-678, 843-844

PE/TE: pp. 211, 212, 213, 214, 215, 260, 262,501, 504, 505

CASRP: pp. 43-44, 150-152

3.0 Students graph and interpret linear and somenonlinear functions:

PE/TE: pp. 391-397, 398-402, 403-409,419-425, 679-685


PE/TE: pp. 444, 700

CASRP: pp. 45-54See all references for AF3.1-AF3.4 below.

3.1 Graph functions of the form y = nx2 and y = nx3

and use in solving problems.PE/TE: pp. 679-685, 852 PE/TE: pp. 700, 702, 703

CASRP: pp. 45-46, 161-163

3.2 Plot the values from the volumes of three-dimensional shapes for various values of theedge lengths (e.g., cubes with varying edgelengths or a triangle prism with a fixed heightand an equilateral triangle base of varyinglengths).

PE/TE: p. 848 PE/TE: p. 683 (Ex. 46)

CASRP: pp. 47-48, 161-163

3.3 Graph linear functions, noting that the verticalchange (change in y-value) per unit of horizontalchange (change in x-value) is always the sameand know that the ratio ("rise over run") is calledthe slope of a graph.

PE/TE: pp. 391-397, 398-402, 403-409,412-417, 419-425, 426-430, 837

PE/TE: pp. 444, 446

CASRP: pp. 49-51, 160, 162-163

3.4 Plot the values of quantities whose ratios arealways the same (e.g., cost to the number of anitem, feet to inches, circumference to diameter ofa circle). Fit a line to the plot and understandthat the slope of the line equals the quantities.

PE/TE: pp. 419-425, 838-840 PE/TE: pp. 446, 447

CASRP: pp. 52-54, 159, 162-163



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4.0 Students solve simple linear equations andinequalities over the rational numbers:

PE/TE: pp. 253-257


PE/TE: pp. 154, 157, 261, 318-319

CASRP: pp. 55-59


4.1 Solve two-step linear equations and inequalitiesin one variable over the rational numbers,interpret the solution or solutions in the contextfrom which they arose, and verify thereasonableness of the results.

PE/TE: pp. 119-124, 125-129, 149-153, 247-252, 253-257

PE/TE: pp. 154, 157, 158, 159, 261, 262, 263

CASRP: pp. 55-57, 154, 156-157

4.2 Solve multistep problems involving rate, averagespeed, distance, and time or a direct variation.

PE/TE: pp. 122 (Ex. 7), 123 (Exs. 20-22),128 (Ex. 37), 134 (Ex. 31), 149-153, 269-274,275-279, 280-284, 324-325, 423(Exs. 27-31), 838-840

PE/TE: pp. 154, 157, 158, 159, 318, 319, 322,447CASRP: pp. 58-59, 155-157



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MEASUREMENT AND GEOMETRY

1.0 Students choose appropriate units ofmeasure and use ratios to convert within andbetween measurement systems to solveproblems:

PE/TE: pp. 63-68, 76-77, 269-274, 827-829

See all references for MG1.1-MG1.3 below.

PE/TE: pp. 110, 318-319, 321

CASRP: pp. 60-65See all references for MG1.1-MG1.3 below.

1.1 Compare weights, capacities, geometricmeasures, times, and temperatures within andbetween measurement systems (e.g., miles perhour and feet per second, cubic inches to cubiccentimeters).

PE/TE: pp. 63-68 (See Example 5 andrelated exercises.), 790-791, 824-826,827-829

PE/TE: p. 113

CASRP: pp. 60-61, 164, 168-169

1.2 Construct and read drawings and models madeto scale.

PE/TE: pp. 299-304 PE/TE: pp. 321, 323CASRP: pp. 62-63, 165, 168-169

1.3 Use measures expressed as rates (e.g., speed,density) and measures expressed as products(e.g., person-days) to solve problems; check theunits of the solutions; and use dimensionalanalysis to check the reasonableness of theanswer.

PE/TE: pp. 63-68 (See Example 5 andrelated exercises.), 76-77, 97-101, 269-274,280-284 (See Example 2 and relatedexercises.), 827-829, 832-834

PE/TE: pp. 110, 112, 113, 318, 319, 323

CASRP: pp. 64-65, 166, 168-169

2.0 Students compute the perimeter, area, andvolume of common geometric objects anduse the results to find measures of lesscommon objects. They know how perimeter,area, and volume are affected by changes ofscale:

PE/TE: pp. 521-526, 537-543, 552-557, 849-851See all references for MG2.1-MG2.4 below.

PE/TE: pp. 565-567

CASRP: pp. 66-75


2.1 Use formulas routinely for finding the perimeterand area of basic two-dimensional figures andthe surface area and volume of basic three-dimensional figures, including rectangles,parallelograms, trapezoids, squares, triangles,circles, prisms, and cylinders.

PE/TE: pp. 69-70, 73 (Example 4), 74(Exs. 38-40), 511-515, 521-526, 527-533,537-543, 544-549, 552-557, 558-563,845-847

PE/TE: pp. 112, 565-567, 568, 569

CASRP: pp. 66-68, 167-169, 176, 179-180

2.2 Estimate and compute the area of more complexor irregular two- and three-dimensional figuresby breaking the figures down into more basicgeometric objects.

PE/TE: pp. 521-526, 528-533 (See Example5 and related exercises.), 537-543, 549(Exs. 31, 32), 845-847

PE/TE: pp. 569

CASRP: pp. 69-70, 167-169, 176, 179-180



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2.3 Compute the length of the perimeter, the surfacearea of the faces, and the volume of a three-dimensional object built from rectangular solids.Understand that when the lengths of alldimensions are multiplied by a scale factor, thesurface area is multiplied by the square of thescale factor and the volume is multiplied by thecube of the scale factor.

PE/TE: pp. 849-851 PE/TE: pp. 542 (Ex. 17), 556 (Ex. 21), 751(Ex. 18)CASRP: pp. 71-73, 176, 179-180

2.4 Relate the changes in measurement with achange of scale to the units used (e.g., squareinches, cubic feet) and to conversions betweenunits (1 square foot = 144 square inches or[1 ft.2] = [144 in.2], 1 cubic inch is approximately16.38 cubic centimeters or [1 in.3] = [16.38 cm3]).

PE/TE: pp. 827-829 PE/TE: pp. 527, 553 (Example 2), 556 (Ex. 22)

CASRP: pp. 74-75, 164, 168-169

3.0 Students know the Pythagorean theorem anddeepen their understanding of plane andsolid geometric shapes by constructingfigures that meet given conditions and byidentifying attributes of figures:

PE/TE: pp. 285-286, 464-469, 714-715,853-855See all references for MG3.1-MG3.6 below.

PE/TE: pp. 320, 501, 754CASRP: pp. 76-90


3.1 Identify and construct basic elements ofgeometric figures (e.g., altitudes, mid-points,diagonals, angle bisectors, and perpendicularbisectors; central angles, radii, diameters, andchords of circles) by using a compass andstraightedge.

PE/TE: pp. 285-286, 410-411, 516-520,714-715, 721-727, 794, 853-855

PE/TE: pp. 511-515, 527-533, 720 (Ex. 23)

CASRP: pp. 76-78, 170, 174-175

3.2 Understand and use coordinate graphs to plotsimple figures, determine lengths and areasrelated to them, and determine their imageunder translations and reflections.

PE/TE: pp. 476-481, 514 (Ex. 22), 525 (Exs.27-28), 729-733, 734-739, 747-751, 845-847

PE/TE: pp. 754, 756, 757

CASRP: pp. 79-80, 173-175

3.3 Know and understand the Pythagorean theoremand its converse and use it to find the length ofthe missing side of a right triangle and thelengths of other line segments and, in somesituations, empirically verify the Pythagoreantheorem by direct measurement.

PE/TE: pp. 464-469, 506-507 PE/TE: pp. 501, 504, 505CASRP: pp. 81-82, 171, 174-175



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3.4 Demonstrate an understanding of conditions thatindicate two geometrical figures are congruentand what congruence means about therelationships between the sides and angles ofthe two figures.

PE/TE: pp. 286, 288-292, 729 PE/TE: pp. 320, 322, 323

CASRP: pp. 83-85, 172, 174-175

3.5 Construct two-dimensional patterns for three-dimensional models, such as cylinders, prisms,and cones.

PE/TE: pp. 537-543, 544-549 CASRP: pp. 86-87, 177, 179-180

3.6 Identify elements of three-dimensional geometricobjects (e.g., diagonals of rectangular solids)and describe how two or more objects arerelated in space (e.g., skew lines, the possibleways three planes might intersect).

PE/TE: pp. 410-411, 535-536, 849-851 PE/TE: p. 542 (Ex. 18)

CASRP: pp. 88-90, 178-180



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STATISTICS, DATA ANALYSIS, ANDPROBABILITY

1.0 Students collect, organize, and representdata sets that have one or more variablesand identify relationships among variableswithin a data set by hand and through theuse of an electronic spreadsheet softwareprogram:

PE/TE: pp. 419-425 (See Example 5 andrelated exercises.), 581-587, 588-593,606-607See all references for SDAP1.1-SDAP1.3below.

PE/TE: pp. 640-641

CASRP: pp. 91-97See all references for SDAP1.1-SDAP1.3below.

1.1 Know various forms of display for data sets,including a stem-and-leaf plot or box-and-whisker plot; use the forms to display a singleset of data or to compare two sets of data.

PE/TE: pp. 581-587, 588-593, 594-595, 596-600, 606-607, 646-647

PE/TE: pp. 640, 641, 644, 645

CASRP: pp. 91-93, 181, 184-185

1.2 Represent two numerical variables on ascatterplot and informally describe how the datapoints are distributed and any apparentrelationship that exists between the twovariables (e.g., between time spent onhomework and grade level).

PE/TE: pp. 47-51 (See Example 3 andrelated exercises.), 419-425(See Example 5 and related exercises.)

PE/TE: pp. 57, 446CASRP: pp. 94-95, 182, 184-185

1.3 Understand the meaning of, and be able tocompute, the minimum, the lower quartile, themedian, the upper quartile, and the maximum ofa data set.

PE/TE: pp. 39-40, 588-593 PE/TE: pp. 641, 645

CASRP: pp. 96-97, 183-185



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MATHEMATICAL REASONING

1.0 Students make decisions about how toapproach problems:

Occurs throughout. Examples:

(Gr. 7, NS 1.1; Gr. 7, AF 1.1)PE/TE, pp. 58-59;(Gr. 7, NS 1.2) PE/TE, pp. 160-161;

(Gr. 7, AF 4.2) PE/TE, pp. 264-265See all references for MR1.1-MR1.3 below.


(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. 98-104

See all references for MR1.1-MR1.3 below.

1.1 Analyze problems by identifying relationships,distinguishing relevant from irrelevantinformation, identifying missing information,sequencing and prioritizing information, andobserving patterns.


(Gr. 7, NS 1.2; Gr. 7, MG 1.1)PE/TE, pp. 14-15;

(Gr. 7, NS 1.2) PE/TE, pp. 16-20(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. 58-59;(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. 448-449;(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, 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 forGr. 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. 98-100



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1.2 Formulate and justify mathematical conjecturesbased on a general description of themathematical question or problem posed.


(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 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. 101-102

1.3 Determine when and how to break a probleminto simpler parts.

Occurs throughout. Examples:(Gr. 7, NS 1.2; Gr. 7, MG 1.1)PE/TE, pp. 14-15;(Gr. 7, AF 4.2) PE/TE, pp. 264-265;(Gr. 7, SDAP 1.0) PE/TE, p. 802

Occurs throughout. Examples:(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. 103-104

2.0 Students use strategies, skills, and conceptsin finding solutions:


(Gr. 7, AF 4.0) PE/TE, p. 139;

(Gr. 7, NS 1.2) PE/TE, pp. 160-161;(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. 264-265;(Gr. 7, NS 1.3) PE/TE, p. 334;(Gr. 7, NS 2.4) PE/TE, pp. 453-457 (SeeExamples 2, 3, 5 and related exercises.);(Gr. 7, AF 3.4) PE/TE, p. 488; (Gr. 7, MG 3.3)PE/TE, pp. 570-571;

(Gr. 7, MG 3.1) PE/TE, p. 721See all references for MR2.1-MR2.8 below.


(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. 521-526(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. 105–121See all references for MR2.1-MR2.8 below.



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2.1 Use estimation to verify the reasonableness ofcalculated results.


(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, NS 1.2) PE/TE, p. 32 (Exs. 42-44);

(Gr. 7, NS 1.3) PE/TE, p. 341 (Example 4)(Gr. 7, NS 1.1; Gr. 7, NS 1.2)CASRP, pp. 105–106

2.2 Apply strategies and results from simplerproblems to more complex problems.


(Gr. 7, MG 3.1) PE/TE, p. 721;(Gr. 7, AF 4.2) PE/TE, p. 800


(Gr. 7, AF 1.1; Gr.7, AF 4.1) PE/TE,pp. 120-124;(Gr. 7, SDAP 1.0) PE/TE, p. 305;

(Gr. 7, MG 3.2) PE/TE, pp. 476-481;(Gr. 7, MG 2.1; Gr. 7, MG 2.2) PE/TE,pp. 521-526;

(Gr. 7, MG 2.1; Gr. 7, MG 3.5) PE/TE,pp. 538-543;(Gr. 7, MG 3.5) PE/TE, p. 549 (Ex. 30)

(Gr. 7, MG 2.1) CASRP, pp. 107–108

2.3 Estimate unknown quantities graphically andsolve for them by using logical reasoning andarithmetic and algebraic techniques.


(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. 335-339;

(Gr. 7, AF 3.3) PE/TE, p. 401 (Ex. 29c);(Gr. 7, AF 3.4) PE/TE, pp. 421-425


(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. 109–110



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2.4 Make and test conjectures by using bothinductive and deductive 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 1.3) PE/TE, p. 171 (Ex. 3)

(Gr. 7, AF 1.0) CASRP, pp. 111–112

2.5 Use a variety of methods, such as words,numbers, symbols, charts, graphs, tables,diagrams, and models, to explain mathematicalreasoning.


(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. 264-265;

(Gr. 7, AF 4.2) PE/TE, pp. 324-325;(Gr. 7, AF 3.3) PE/TE, pp. 392-393;

(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. 686-687;

(Gr. 7, AF 1.5) PE/TE, p. 795;(Gr. 7, AF 1.5) PE/TE, pp. 797-799;

(Gr. 7, AF 1.0) PE/TE, p. 801


(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. 113–115



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2.6 Express the solution clearly and logically byusing the appropriate mathematical notation andterms and clear language; support solutions withevidence in both verbal and symbolic work.


(Gr. 7, AF 4.2) PE/TE, pp. 114-115;

(Gr. 7, NS 1.7) PE/TE, pp. 374-375;(Gr. 7, AF 3.3; Gr. 7, AF 3.4)PE/TE, pp. 448-449;

(Gr. 7, MG 3.3) PE/TE, pp. 506-507;(Gr. 7, AF 1.1) PE/TE, pp. 704-705;

(Gr. 7, AF 1.5) PE/TE, pp. 758-759


(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. 42-44);(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. 116–117



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2.7 Indicate the relative advantages of exact andapproximate solutions to problems and giveanswers to a specified degree of accuracy.


(Gr. 7, AF 3.4) PE/TE, pp. 421-424 (SeeExample 5 and related exercises.);

(Gr. 7, NS 2.4) PE/TE, pp. 453-457 (SeeExamples 2, 3, 5 and related exercises.);(Gr. 7, NS 2.4) PE/TE, pp. 459-461(See Example 4 and related exercises.);

(Gr. 7, MG 3.3) PE/TE, pp. 465-469;(Gr. 7, NS 1.4) PE/TE, pp. 470-474;

(Gr. 7, MG 3.3) PE/TE, pp. 483-487;(Gr. 7, MG 3.3) PE/TE, p. 488;

(Gr. 7, MG 3.3) PE/TE, pp. 490-493;(Gr. 7, MG 3.3) PE/TE, pp. 495-498;

(Gr. 7, MG 2.1) PE/TE, pp. 528-533;(Gr. 7, MG 2.1; Gr. 7, MG 3.5)PE/TE, pp. 540-543 (See Example 3and related exercises.);

(Gr. 7, MG 3.5) PE/TE, p. 544 (Example 1);(Gr. 7, MG 3.5) PE/TE, pp. 546-549 (SeeExample 3 and related exercises.);

(Gr. 7, MG 2.1) PE/TE, pp. 553-556 (SeeExamples 2, 3 and related exercises.);(Gr. 7, MG 2.1) PE/TE, pp. 559-562 (SeeExamples 2, 3 and related exercises.);(Gr. 7, AF 3.1) PE/TE, pp. 681-684(See Example 4 and related exercises.);

(Gr. 7, NS 1.0) PE/TE, pp. 770-772


(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. 118–119



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2.8 Make precise calculations and check the validityof the results from the context of the problem.


(Gr. 7, NS 1.2; Gr. 7, MG 1.1)PE/TE, pp. 14-15;

(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. 120-121;(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. 448-449;(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, NS 1.2) PE/TE, p. 32 (Exs. 42-44);

(Gr. 7, AF 4.0) PE/TE, p. 135 (Exs. 39-42);(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. 120–121

3.0 Students determine a solution is completeand move beyond a particular problem bygeneralizing to other situations:


(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. 704-705



(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. 122-127


3.1 Evaluate the reasonableness of the solution inthe context of the original situation.


(Gr. 7, AF 4.2) PE/TE, pp. 14-15;

(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. 448-449


(Gr. 7, AF 3.3) PE/TE, p. 401 (Ex. 29)

(Gr. 7, MG 2.1) CASRP, pp. 122-123



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3.2 Note the method of deriving the solution anddemonstrate a conceptual understanding of thederivation by solving similar problems.


(Gr. 7, AF 4.2) PE/TE, pp. 114–115;(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. 324–325;(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. 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. 124-125

3.3 Develop generalizations of the results obtainedand the strategies used and apply them to newproblem situations.

Occurs throughout. Examples:(Gr. 7, AF 4.0) PE/TE, p. 96;

(Gr. 7, AF 4.2) PE/TE, pp. 114–115;(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. 506-507;(Gr. 7, MG 3.5) PE/TE, p. 537;

(Gr. 7, AF 1.1) PE/TE, pp. 704–705

Occurs throughout. Examples:(Gr. 7, NS 1.2) PE/TE, p. 33 (Exs. 54–56);

(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. 126–127

McDougal Littell CaliforniaAlgebra 1

Publisher: McDougal Littell, Inc.Program Title: McDougal Littell California Pre-Algebra and McDougal Littell California Algebra 1Components: Pupil Edition (PE), Teacher’s Edition (TE), California Standards Review and Practice (CASRP), Resource Book, AssessmentBook, Notetaking Guide, Practice WorkbookGrade Level(s): 7–8


STANDARDS MAP for a Basic Grade-Level Program

Grade Eight – Mathematics (Algebra I)

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ALGEBRA I

1.0 Students identify and use the arithmeticproperties of subsets of integers and rational,irrational, and real numbers, including closureproperties for the four basic arithmeticoperations where applicable:

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, 547,719-722, 939, 945, 954-955

CASRP: 2-4, 91, 94-95Resource Book:Chapter 2: 16-20, 34, 39-43, 45Chapter 8: 9-10

Assessment Book: 16-19, 21-23, 25Notetaking Guide: 29, 33-37, 39

Practice Workbook: 18-19, 22, 26, 119, 121-123, 172

1.1 Students use properties of numbers todemonstrate whether assertions are true orfalse.

PE/TE: 77 (Exs. 24-25), 82 (Exs. 15-16), 91(Exs. 43-44), 92 (Exs. 45-47), 99 (Exs. 3-4),106 (Exs. 42-43), 492 (Ex. 39), 499 (Ex. 20),507 (Exs. 46-48)

CASRP: 5-6, 91, 94-95

Resource Book:Chapter 2: 50

2.0 Students understand and use such operationsas taking the opposite, finding the reciprocal,taking a root, and raising to a fractional power.They understand and use the rules ofexponents.

PE/TE: 66, 67, 103-104, 106, 110-111, 113,114, 115, 121, 488, 489-494, 495-501, 502,503-508, 509-510, 543, 544, 547, 939, 945

CASRP: 7-9, 92, 94-95

Resource Book:Chapter 2: 9

Chapter 8: 27-31, 33, 35Assessment Book: 20, 22, 26, 109-110, 112,114, 116, 118

Notetaking Guide: 25, 39-41, 43, 167-175Practice Workbook: 16, 26, 28, 119-124

3.0 Students solve equations and inequalitiesinvolving absolute values.

PE/TE: 390-395, 398-403, 412, 417, 418,419, 943

CASRP: 10-12, 93-95

Resource Book:Chapter 6: 60-64, 66-67, 70-78, 80-81Assessment Book: 77, 81, 83, 85-86

Notetaking Guide: 140-145Practice Workbook: 96-100



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4.0 Students simplify expressions before solvinglinear equations and inequalities in one variable,such as 3(2x-5) + 4(x-2) = 12.

PE/TE: 141-146, 148-153, 154-159, 193,194, 197, 369-374, 416, 419, 940, 943

CASRP: 13-14, 96, 98-99

Resource Book:Chapter 3: 17-21, 23-25, 29-33, 35, 39, 41-45,47, 49, 90, 93-94

Chapter 6: 32-39Assessment Book: 31-32, 34-36, 38, 40, 43,76-85

Notetaking Guide: 52-59, 134-136Practice Workbook: 33-37, 90-92

5.0 Students solve multistep problems, includingword problems, involving linear equations andlinear inequalities in one variable and providejustification for each step.

PE/TE: 141-146, 148-153, 154-159, 193,194, 197, 369-374, 416, 419, 940, 943

CASRP: 15-17, 97-99

Resource Book:Chapter 3: 17-21, 23-25, 29-33, 35, 39, 41-45,47, 49, 90, 94Chapter 6: 32-39

Assessment Book: 31-32, 34-36, 38, 40-43,76-85Notetaking Guide: 52-59, 134-136

Practice Workbook: 32-37, 90-92

6.0 Students graph a linear equation and computethe x- and y- intercepts (e.g., graph 2x + 6y = 4).They are also able to sketch the region definedby linear inequality (e.g., they sketch the regiondefined by 2x + 6y < 4).

PE/TE: 215-221, 222, 225-232, 244-250,272, 273, 275, 404, 405-412, 418, 419, 941,943

CASRP: 18-21, 104, 106-107

Resource Book:Chapter 4: 20-25, 27, 29

Chapter 6: 87-92, 94Assessment Book: 46-47, 51, 53, 77, 79, 81,83, 85

Notetaking Guide: 75-82, 147-148Practice Workbook: 49-54, 58-60, 101-103

7.0 Students verify that a point lies on a line, givenan equation of the line. Students are able toderive linear equations by using the point-slopeformula.

PE/TE: 215,219 (Exs. 3-9), 302-308, 316, 346, 349, 942

CASRP: 22-23, 105-107Resource Book:Chapter 4: 20, 22, 24Chapter 5: 27, 29, 31, 33-34, 36-37

Assessment Book: 49, 61Notetaking Guide: 106-108Practice Workbook: 49, 71-73



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8.0 Students understand the concepts of parallellines and perpendicular lines and how thoseslopes are related. Students are able to find theequation of a line perpendicular to a given linethat passes through a given point.

PE/TE: 246, 248, 249, 319-324, 331, 343,347, 349, 352, 353, 459, 462, 463, 464, 478,479, 482, 942, 944

CASRP: 24-26, 108, 111-112

Resource Book:Chapter 5: 52-56, 58-59

Chapter 7: 59Assessment Book: 62

Notetaking Guide: 113-116Practice Workbook: 59, 76-77

9.0 Students solve a system of two linear equationsin two variables algebraically and are able tointerpret the answer graphically. Students areable to solve a system of two linear inequalitiesin two variables and to sketch the solution sets.

PE/TE: 427-433, 434, 435-441, 444-450,451-457, 458, 459-465, 466-472, 473, 475,476, 477, 478, 479, 480, 481, 482, 483, 485,944

CASRP: 27-30, 109-112Resource Book:Chapter 7: 19-23, 25-27, 30-34, 36-38, 40-45,47, 49-50, 83Assessment Book: 90-102, 108Notetaking Guide: 150-165Practice Workbook: 104-118

10.0 Students add, subtract, multiply, and dividemonomials and polynomials. Students solvemultistep problems, including word problems, byusing these techniques.

PE/TE: 554-559, 560, 561, 562-568, 569-574, 580, 581, 589, 599, 605, 616, 617, 621,783, 784-791, 800, 801, 809, 832, 835, 946,949

CASRP: 31-35, 113-114, 116-117

Resource Book:Chapter 9: 7-9, 11, 13-15, 18-22, 24-26, 28-32, 34-36Chapter 12: 34-38, 41Assessment Book: 124, 127, 129, 131, 133-136, 171, 173, 175Notetaking Guide: 190-198, 276-279Practice Workbook: 133-137, 186

11.0 Students apply basic factoring techniques tosecond-and simple third-degree polynomials.These techniques include finding a commonfactor for all terms in a polynomial, recognizingthe difference of two squares, and recognizingperfect squares of binomials.

PE/TE: 576, 578, 579, 582, 583-589, 592,593-599, 600-605, 606-613, 618, 619, 620,621, 946

CASRP: 36-39, 113-114, 115-117

Resource Book:Chapter 9: 41-45, 49, 53-57, 59-61, 64-68, 71,74-78, 80-81, 84-88, 91Assessment Book: 125-126, 128, 130, 132

Notetaking Guide: 200-218Practice Workbook: 139, 141, 143, 145, 147



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12.0 Students simplify fractions with polynomials inthe numerator and denominator by factoringboth and reducing them to the lowest terms.

PE/TE: 794-800, 801, 810-811, 833, 835,949

CASRP: 40-41, 123, 126-127

Resource Book:Chapter 12: 45-50

Assessment Book: 169, 172, 173, 176Notetaking Guide: 280-282

Practice Workbook: 188-189

13.0 Students add, subtract, multiply, and dividerational expressions and functions. Studentssolve both computationally and conceptuallychallenging problems by using these techniques.

PE/TE: 802-809, 812-819, 826, 833, 834,835, 949

CASRP: 42-44, 124, 126-127

Resource Book:Chapter 12: 58-62, 65, 69-73, 75Assessment Book: 170, 172, 174, 176


14.0 Students solve a quadratic equation by factoringor completing the square.

PE/TE: 585-589, 595-599, 602-603, 622-623,663-668, 676, 698, 699, 701, 947

CASRP: 45-47, 115-117

Resource Book:Chapter 9: 53-55, 57, 64-66, 74-76, 78Chapter 10: 61-65

Assessment Book: 125, 126, 128, 130, 133,135, 136, 143, 145, 147Notetaking Guide: 205-206, 209, 212-213,233-235

Practice Workbook: 141, 143, 145, 160-161

15.0 Students apply algebraic techniques to solverate problems, work problems, and percentmixture problems.

PE/TE: 237-238, 240, 241, 242, 245, 246,248, 249, 250, 255, 256, 258, 259, 260-261,265, 267, 269, 273, 275, 279, 295, 298, 299,304, 307, 308, 317, 346, 438, 441, 458, 483

CASRP: 48-50, 125-127

Resource Book:Chapter 4: 48, 50, 52, 54, 56

Chapter 7: 21Assessment Book: 49, 51, 56, 93, 100

Notetaking Guide: 86Practice Workbook: 57, 68, 73



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16.0 Students understand the concepts of a relationand a function, determine whether a givenrelation defines a function, and give pertinentinformation about given relations and functions.

PE/TE: 35-40, 41, 42, 43-48, 49-50, 56, 57,61, 938

CASRP: 51-52, 128, 130-131

Resource Book:Chapter 1: 62-66, 68-69, 72-79, 81-82, 87

Assessment Book: 3, 5, 7, 9-11Notetaking Guide: 16-18


17.0 Students determine the domain of independentvariables and the range of dependent variablesdefined by a graph, a set of ordered pairs, or asymbolic expression.

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, 710-712, 713, 714,715, 716, 717, 775-777, 779, 780, 781, 782,938, 941, 948

CASRP: 53-55, 129-131

Resource Book:Chapter 1: 62-66, 68-69, 72-79, 81-82, 87Chapter 8: 51-58

Chapter 11: 8-14, 17Chapter 12: 19, 21, 23-26

Assessment Book: 3, 5, 7, 9-11, 168, 171,173Notetaking Guide: 19-21, 180-181, 272-274

Practice Workbook: 11, 13-14, 47, 183-184

18.0 Students determine whether a relation definedby a graph, a set of ordered pairs, or a symbolicexpression is a function and justify theconclusion.

PE/TE: 49-50 CASRP: 56-57, 128, 130-131

19.0 Students know the quadratic formula and arefamiliar with its proof by completing the square.

PE/TE: 671-676, 695, 696, 699, 727-728 CASRP: 58-59, 118, 121-122


Assessment Book: 140, 147Notetaking Guide: 233-238


20.0 Students use the quadratic formula to find theroots of a second-degree polynomial and tosolve quadratic equations.

PE/TE: 671-676, 699, 701, 947 CASRP: 60-61, 118, 121-122





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21.0 Students graph quadratic functions and knowthat their roots are the x-intercepts.

PE/TE: 677, 678-683, 691, 700, 701, 947 CASRP: 62-65, 119, 121-122

Resource Book:Chapter 10: 81-85, 87

Assessment Book: 139, 141-142, 144, 145-146Notetaking Guide: 220-229


22.0 Students use the quadratic formula or factoringtechniques or both to determine whether thegraph of a quadratic function will intersect the x-axis in zero, one, or two points.

PE/TE: 641-642, 677, 678-683, 691, 700,701, 947

CASRP: 66-67, 119, 121-122

Resource Book:Chapter 10: 81-85

Assessment Book: 143Practice Workbook: 164-165

23.0 Students apply quadratic equations to physicalproblems, such as the motion of an object underthe force of gravity.

PE/TE: 646, 648, 649, 654, 657, 658, 659-660, 661, 665, 667, 668, 672, 675, 676, 680,682, 683, 701, 702, 704, 705

CASRP: 68-69, 120-122Resource Book:Chapter 10: 38, 40, 61-63, 68

Assessment Book: 142Practice Workbook: 157, 161, 165

24.0 Students use and know simple aspects of alogical argument:

PE/TE: 66-67, 68, 92, 100, 108, 109, 113,114, 117-118, 124, 125, 172, 318, 464, 493,499, 727

CASRP: 70-75, 100, 102-103

Resource Book:Chapter 2:5-7, 12

24.1 Students explain the difference betweeninductive and deductive reasoning and identifyand provide examples of each.

PE/TE: 117-118 CASRP: 70-71, 100, 102-103

24.2 Students identify the hypothesis and conclusionin logical deduction.

PE/TE: 66-67,68 (Exs. 35-38), 108, 109, 113, 114, 124,125

CASRP: 72-73, 100, 102-103, 120Notetaking Guide: 26

Practice Workbook: 16



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24.3 Students use counterexamples to show that anassertion is false and recognize that a singlecounterexample is sufficient to refute anassertion.

PE/TE: 66-67,68 (Exs. 35-38), 92 (Exs. 45-47), 108, 109,113, 114, 124, 125, 318, 385 (Exs. 28-29),402 (Exs. 29-32), 464, 507

CASRP: 74-75, 100, 102-103

Resource Book:Chapter 2: 5-7, 12, 26, 84

Assessment Book: 20-21, 23Notetaking Guide: 26


25.0 Students use properties of the number system tojudge the validity of results, to justify each stepof a procedure, and to prove or disprovestatements:

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

CASRP: 76-81, 101-103

Resource Book:Chapter 2: 19-20, 23, 39-41, 43, 46Assessment Book: 19-21, 25

Notetaking Guide: 29, 34, 35, 37, 39, 41Practice Workbook: 22

25.1 Students use properties of numbers to constructsimple, valid arguments (direct and indirect) for,or formulate counterexamples to, claimedassertions.

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, 499,503-505, 513, 563, 607, 609, 611, 617, 620,719-722, 775, 822

CASRP: 76-77, 101-103

Resource Book:Chapter 2: 5-7, 12, 26, 84Chapter 8: 29

Notetaking Guide: 26Practice Workbook: 16

25.2 Students judge the validity of an argumentaccording to whether the properties of the realnumber system and the order of operations havebeen 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, 101-103

Resource Book:Chapter 2: 39-41, 50


25.3 Given a specific algebraic statement involvinglinear, quadratic, or absolute value expressionsor equations or inequalities, students determinewhether the statement is true sometimes,always, or never.

PE/TE: 22, 23, 24, 55, 57, 156, 157, 385(Exs. 28-29), 392, 393, 402 (Exs. 29-32),419, 656

CASRP: 80-81, 101-103

CA 2405/2007

2007CC2

mcdougal littell california · california math content standards grades 7–8 correlated to the...

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