McDougal Littell California Structure and Method:

Transcription

1 McDougal Littell California Structure and Method: Course 1 Course 2 Algebra 1 correlated to the California Math Content s Grades 6 8

2 McDougal Littell California Structure and Method Course 1

3 Publisher: McDougal Littell California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), STANDARDS MAP for a Basic Grade-Level Program Grade 6 - Mathematics NUMBER SENSE Language Primary Citations Supporting Citations 1.0 Students compare and order positive and negative fractions, decimals, and mixed numbers. Students solve problems involving fractions, ratios, proportions, and percentages: 66-72, , , , , CSKCB: S2-S See all references for NS 1.1-NS 1.4 below. 1.1 Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. 1.2 Interpret and use ratios in different contexts (e.g., batting averages, miles per hour) to show the relative sizes of two quantities, using appropriate notations (a/b, a to b, a:b). 1.3 Use proportions to solve problems (e.g., determine the value of N if 4/7 = N/21, find the length of a side of a polygon similar to a known polygon). Use cross-multiplication as a method for solving such problems, understanding it as the multiplication of both sides of an equation by a multiplicative inverse. See all references for NS 1.1-NS 1.4 below. Decimals: 66-69, 70-72, 197 (Exs ); Fractions/Mixed Numbers: 182, , 282; Integers: CSKCB: S2-S7, T6-T7 2-3, 114, , 231, 237 CSKCB: S8-S13, T8-T15 4-5, 126, , , , CSKCB: S14-S21, T8-T11 6-8, 127, RB: 34, 38-40, 75, PM: 12, 27, 28 (Exs ) RB: 89, PM: 33 RB: 89, PM: 33, 44 California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 1

4 Publisher: McDougal Littell California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 1.4 Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips. 2.0 Students calculate and solve problems involving addition, subtraction, multiplication, and division: , , , , , , , , , E15-E16, E17-E18 TE: T56-T57, T58-59 CSKCB: S22-S , 128, , , , CSKCB: P56-P59, S29-S RB: 108, 109, 110, 111, 112, PM: See all references for NS 2.1-NS 2.4 below. 2.1 Solve problems involving addition, subtraction, multiplication, and division of positive fractions and explain why a particular operation was used for a given situation. 2.2 Explain the meaning of multiplication and division of positive fractions and perform the calculations (e.g., 5/8 15/16 = 5/8 x 16/15 = 2/3). 2.3 Solve addition, subtraction, multiplication, and division problems, including those arising in concrete situations, that use positive and negative integers and combinations of these operations. See all references for NS 2.1-NS 2.4 below. Addition and subtraction: , ; Multiplication and Division: , , CSKCB: P56-P , , 122, , , , E13-E14 TE: T54-T55, 209b-209c 14-15, 122, Addition and Subtraction: , , , , E19-E20, E21-22; Multiplication and Division: , , , , TE: T60-T61, T62-T63 CSKCB: S29-S , 117, , RB: 83, 84, 85, PM: 31, 32 RB: 83, 84, 85, PM: 32 RB: 136, 137, 139, PM: California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 2

5 Publisher: McDougal Littell California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 2.4 Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form for a fraction). GCD (GCF): , E7-E8; LCM: , E9-E10; Use of GCD and LCM: , , , TE: T48-T49, T50-T51 CSKCB: P37-P40, P47-P51, S36-S , 115, , 122, RB: 63, PM: 24, 25, 26, 27, 31 California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 3

6 Publisher: McDougal Littell California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations ALGEBRA AND FUNCTIONS 1.0 Students write verbal expressions and sentences as algebraic expressions and equations; they evaluate algebraic expressions, solve simple linear equations, and graph and interpret their results: 32-38, 43-51, , TE: T46-T47 CSKCB: S44-S See all references for AF 1.1-AF 1.4 below. 1.1 Write and solve one-step linear equations in one variable. 1.2 Write and evaluate an algebraic expression for a given situation, using up to three variables. 1.3 Apply algebraic order of operations and the commutative, associative, and distributive properties to evaluate expressions; and justify each step in the process. 1.4 Solve problems manually by using the correct order of operations or by using a scientific calculator. 2.0 Students analyze and use tables, graphs, and rules to solve problems involving rates and proportions: See all references for AF 1.1-AF 1.4 below , 43-45, 46-48, 49-51, , , , , , , , , , E3-E4 TE: T44-T45 CSKCB: S44-S , 133, , 32-35, 62 (Exs ) 24-25, 132, Properties: 5-8, 9-12, 13-15, 16-17, 263, , , , , , , 16-17, 76 (Calculator Investigation), 385 (Calculator Investigation) 28, , CSKCB: S51-S RB: 21, 22, 25, 26-28, 101, PM: 7, 9, 10, 35-38, 51 RB: 10, 14-16, 21, 26-29, 95 PM: 3, 7, 11 RB: 7, 9, 10, 13, PM: 3, 4, 5, 37 RB: 7, 9, 10, 13, PM: 5 See all references for AF 2.1-AF 2.3 below. See all references for AF 2.1-AF 2.3 below. California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 4

7 Publisher: McDougal Littell California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 2.1 Convert one unit of measurement to another (e.g., from feet to miles, from centimeters to inches). 2.2 Demonstrate an understanding that rate is a measure of one quantity per unit value of another quantity. 35 (Exs ), , , 324 (Ex. 5), , TE: T , , , CSKCB: S51-S , RB: 46, PM: 17 (Exs ), 46, 51, 52, 53, 54 RB: 89, PM: Solve problems involving rates, average speed, distance, and time. 3.0 Students investigate geometric patterns and describe them algebraically: , , CSKCB: S51-S , , , , CSKCB: S55-S61, T12-T RB: 89, PM: 34, 37 See all references for AF 3.1-AF 3.2 below. 3.1 Use variables in expressions describing geometric quantities (e.g., P = 2w + 2l, A = 1/2bh, C = pd - the formulas for the perimeter of a rectangle, the area of a triangle, and the circumference of a circle, respectively). See all references for AF 3.1-AF 3.2 below. 469; Perimeter: ; Area: , , , ; Circumference: CSKCB: S55-S61, T12-T , RB: 49, 51, 52-54, 122, 124, 125, 126, 127, PM: 37, 45, 46, 48 California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 5

8 Publisher: McDougal Littell California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 3.2 Express in symbolic form simple relationships arising from geometry. 469; Circumference: ; Area: , , ; Euler s Formula: 340; Volume: , ; Surface area: ; Pythagorean theorem: CSKCB: T16-T , RB: 49, 51, 52-54, 122, 124, 125, 126, 127, PM: 45, 47 California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 6

9 Publisher: McDougal Littell California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations MEASUREMENT AND GEOMETRY 1.0 Students deepen their understanding of the measurement of plane and solid shapes and use this understanding to solve problems: , , , , CSKCB: P84, S55-S See all references for MG 1.1-MG 1.3 below. 1.1 Understand the concept of a constant such as p; know the formulas for the circumference and area of a circle. 1.2 Know common estimates of p (3.14; 22/7) and use these values to estimate and calculate the circumference and the area of circles; compare with actual measurements. 1.3 Know and use the formulas for the volume of triangular prisms and cylinders (area of base x height); compare these formulas and explain the similarity between them and the formula for the volume of a rectangular solid. See all references for MG 1.1-MG 1.3 below.!: p: 128; Circumference: ; Area: , , CSKCB: S55-S ,137, Circumference: ; Calculator investigation of p: 137; Area: , , CSKCB: S55-S , 137, , , 138, RB: 49, 51, 52-54, 121, 122, 127, PM: 19, 46 RB: 49, 51, 52-54, 121, 122, 127, PM: 19, 46 RB: 124, 126, 127, PM: 47, 48 California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 7

10 Publisher: McDougal Littell California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 2.0 Students identify and describe the properties of two-dimensional figures: CSKCB: P69-P74, S62-S64, T12-T See all references for MG 2.1-MG 2.3 below. 2.1 Identify angles as vertical, adjacent, complementary, or supplementary and provide descriptions of these terms. 2.2 Use the properties of complementary and supplementary angles and the sum of the angles of a triangle to solve problems involving an unknown angle. 2.3 Draw quadrilaterals and triangles from given information about them (e.g., a quadrilateral having equal sides but no right angles, a right isosceles triangle). See all references for MG 2.1-MG 2.3 below CSKCB: S62-S , 142, , 270 CSKCB: S62-S , 142, , , CSKCB: P68-P , RB: 46, PM: 18 RB: 46, PM: 19, 38 RB: 50, 51, PM: 19, 20 California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 8

11 Publisher: McDougal Littell California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations STATISTICS, DATA ANALYSIS, AND PROBABILITY 1.0 Students compute and analyze statistical measurements for data sets: , TE: T64-T65, 403b-403c CSKCB: S See all references for SDAP 1.1-SDAP 1.4 below. 1.1 Compute the range, mean, median, and mode of data sets. 1.2 Understand how additional data added to data sets may affect these computations. 1.3 Understand how the inclusion or exclusion of outliers affects these computations. 1.4 Know why a specific measure of central tendency (mean, median) provides the most useful information in a given context. 2.0 Students use data samples of a population and describe the characteristics and limitations of the samples: See all references for SDAP 1.1-SDAP 1.4 below , , , , E23-E24 TE: T64-T65 CSKCB: S , 146, TE: 403b-403c 55-56, TE: 403b-403c 57-58, , , E23-E24 TE: T64-T65, 403b 59-60, 146, CSKCB: S65-S RB: 147, PM: 54, 55 PM: 54 PM: See all references for SDAP 2.1-SDAP 2.5 below. See all references for SDAP 2.1-SDAP 2.5 below. California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 9

12 Publisher: McDougal Littell California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 2.1 Compare different samples of a population with the data from the entire population and identify a situation in which it makes sense to use a sample. 2.2 Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population. 2.3 Analyze data displays and explain why the way in which the question was asked might have influenced the results obtained and why the way in which the results were displayed might have influenced the conclusions reached. 2.4 Identify data that represent sampling errors and explain why the sample (and the display) might be biased. 2.5 Identify claims based on statistical data and, in simple cases, evaluate the validity of the claims CSKCB: S65-S , 150, CSKCB: S65-S , 150, , , CSKCB: S69-S , 151, TE: 403a-403b CSKCB: S74-S , , , , TE: 403a-403b CSKCB: S77-S , RB: 146, 147, PM: 53, 55 PM: 53, 55 California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 10

13 Publisher: McDougal Littell California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 3.0 Students determine theoretical and experimental probabilities and use these to make predictions about events: CSKCB: S81-S See all references for SDAP 3.1-SDAP 3.5 below. 3.1 Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. 3.2 Use data to estimate the probability of future events (e.g., batting averages or number of accidents per mile driven). 3.3 Represent probabilities as ratios, proportions, decimals between 0 and 1, and percentages between 0 and 100 and verify that the probabilities computed are reasonable; know that if P is the probability of an event, 1- P is the probability of an event not occurring. 3.4 Understand that the probability of either of two disjoint events occurring is the sum of the two individual probabilities and that the probability of one event following another, in independent trials, is the product of the two probabilities. 3.5 Understand the difference between independent and dependent events. See all references for SDAP 3.1-SDAP 3.5 below. CSKCB: S81-S , 155, TE: 403f 74-75, 156, , , CSKCB: S85-S , 156, , 156, CSKCB: S92-S , RB: , 148 RB: 151, PM: 55 RB: 150, 151, PM: 55, 56 RB: 151, PM: 56 RB: 150 California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 11

14 Publisher: McDougal Littell California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations MATHEMATICAL REASONING 1.0 Students make decisions about how to approach problems: (Gr. 6, NS 2.0) PE/TE, pp ; (Gr. 6, AF 3.1) PE/TE, pp ; (Gr. 6, NS 2.3) PE/TE, p. 374 (Ex. 6); (Gr. 6, NS 2.0) PE, pp. E1-E2/TE, pp. T42- T43 (Gr. 6, NS 2.3; Gr. 6, AF 1.2; Gr. 6, AF 3.1; Gr. 6, MG 1.2) CASRP, pp See all references for MR 1.1-MR 1.3 below. 1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information, sequencing and prioritizing information, and observing patterns. See all references for MR 1.1-MR 1.3 below. (Gr. 6, NS 2.0) PE/TE, pp ; (Gr. 6, AF 1.1) PE/TE, pp ; (Gr. 6, NS 1.3) PE/TE, pp ; (Gr. 6, NS 1.3) PE/TE, pp ; (Gr. 6, NS 2.0) PE, pp. E1-E2/TE, pp. T42- T43 (Gr. 6, NS 2.3) CASRP, pp RB: (Gr. 6, NS 2.0) RB, p. 13; (Gr. 6, NS 2.0) RB, p. 11; (Gr. 6, NS 2.0) RB, p. 23; (Gr. 6, NS 2.0) RB, p. 24; (Gr. 6, NS 2.1) RB, p. 84; (Gr. 6, NS 2.1) RB, p. 87 California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 12

15 Publisher: McDougal Littell California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), 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. (Gr. 6, AF 1.3) PE/TE, p. 15 (Exs ); (Gr. 6, NS 2.3) PE/TE, p. 374 (Ex. 6); (Gr. 6, SDAP 2.3) PE/TE, p. 412 (Ex. 16); (Gr. 6, NS 2.4) PE, pp. E7-E8/TE, pp. T48- T49 (Gr. 6, AF 1.2) CASRP, pp (Gr. 6, NS 2.1) PE/TE, p. 245 (Ex. 6); (Gr. 6, AF 3.1) PE/TE, pp ; (Gr. 6, MG 1.0) PE/TE, p. 363 (Exs. 1, 6); (Gr. 6, NS 1.3) PE/TE, p. 363 (Ex. 9); (Gr. 6, NS 2.1) PE/TE, p. 401 (Ex. 1) (Gr. 6, AF 3.1; Gr. 6 MG 1.2) CASRP, pp RB: (Gr. 6, MG 1.0) RB, p. 72; (Gr. 6, AF 1.2) RB, p. 135 RB: (Gr. 6, NS 2.0) RB, p. 42; (Gr. 6, AF 3.1) RB, p. 49; (Gr. 6, MG 1.3) RB, p. 124 California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 13

16 Publisher: McDougal Littell California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 2.0 Students use strategies, skills, and concepts in finding solutions: (Gr. 6, NS 2.0) PE/TE, pp ; (Gr. 6, NS 2.0) PE/TE, pp ; (Gr. 6, AF 3.1) PE/TE, p. 267; (Gr. 6, AF 3.1) PE/TE, pp ; (Gr. 6, SDAP 3.4) PE/TE, pp (Gr. 6, NS 1.4; Gr. 6, NS 2.2; Gr. 6, AF 2.0; Gr. 6, AF 3.2; Gr. 6, MG 1.1; Gr. 6, SDAP 3.1) CASRP, pp See all references for MR 2.1-MR 2.7 below. 2.1 Use estimation to verify the reasonableness of calculated results. 2.2 Apply strategies and results from simpler problems to more complex problems. See all references for MR 2.1-MR 2.7 below. (Gr. 6, NS 2.0) PE/TE, pp.78-79; (Gr. 6, NS 2.2) PE/TE, p. 222; (Gr. 6, NS 2.0) PE/TE, p. 245 (Gr. 6, NS 1.4) CASRP, pp (Gr. 6, AF 1.1) PE/TE, pp ; (Gr. 6, NS 2.0) PE/TE, p. 175; (Gr. 6, SDAP 3.4) PE/TE, pp (Gr. 6, SDAP 3.1) CASRP, pp RB: (Gr. 6, NS 2.0) RB, p. 94; (Gr. 6, AF 3.1) RB, p. 106; (Gr. 6, NS 1.4) RB, p. 111 RB: (Gr. 6, MG 2.0) RB, p. 8; (Gr. 6, NS 2.1) RB, p. 69; (Gr. 6, MG 1.3) RB, p. 124; California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 14

17 Publisher: McDougal Littell California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 2.3 Estimate unknown quantities graphically and solve for them by using logical reasoning and arithmetic and algebraic techniques. 2.4 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning. 2.5 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. 6, SDAP 2.3) PE/TE, pp ; (Gr. 6, SDAP 1.1) PE/TE, pp (Gr. 6, AF 2.0) CASRP, pp (Gr. 6, AF 3.1) PE/TE, p. 267; (Gr. 6, MG 2.2) PE/TE, pp ; (Gr. 6, NS 2.0) PE/TE, p. 317; (Gr. 6, AF 3.1) PE/TE, pp ; (Gr. 6, MG 1.2) PE/TE, pp ; (Gr. 6, NS 1.1) PE, pp. E11-E12/TE, pp. T52- T53; (Gr. 6, NS 2.2) PE pp. E13-E14/TE pp. T54- T55 (Gr. 6, NS 2.2) CASRP, pp (Gr. 6, NS 2.4) PE/TE, pp ; (Gr. 6, SDAP 2.3) PE/TE, pp (Gr. 6, AF 3.2; Gr. 6 MG 1.1) CASRP, pp RB: (Gr. 6, SDAP 2.3) RB, p. 146; (Gr. 6, SDAP 2.3) RB, p. 147 (Exs. 1, 2) RB: (Gr. 6, NS 2.0) RB, p. 33; (Gr. 6, MG 2.0) RB, p. 123; (Gr. 6, SDAP 3.1) RB, p. 146 RB: (Gr. 6, SDAP 3.1) RB, pp ; (Gr. 6, SDAP 2.3) RB, p. 153 (Exs ) California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 15

18 Publisher: McDougal Littell California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 2.6 Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy. 2.7 Make precise calculations and check the validity of the results from the context of the problem. 3.0 Students move beyond a particular problem by generalizing to other situations: (Gr. 6, NS 2.0) PE/TE, p ; (Gr. 6, NS 2.0) PE/TE, pp (Gr. 6, MG 1.1) CASRP, pp (Gr. 6, NS 2.0) PE/TE, p. 57 (Gr. 6, AF 2.0) CASRP, pp (Gr. 6, NS 2.0) PE/TE, p. 29; (Gr. 6, MG 2.3) PE/TE, p. 127 (Exs ); (Gr. 6, NS 2.4) PE/TE, pp ; (Gr. 6, NS 2.1) PE/TE, pp ; (Gr. 6, NS 1.4) PE, pp. E17-E18/ TE, pp. T58-T59 (Gr. 6, NS 1.4; Gr. 6, AF 2.1; Gr. 6, SDAP 3.2) CASRP, pp RB: (Gr. 6, NS 1.4, NS 2.0) RB, p. 37 (Ex. 7); (Gr. 6, NS 2.0) RB, p. 106; (Gr. 6, SDAP 2.3) RB, p. 146 RB: (Gr. 6, NS 2.0) RB, p. 18; (Gr. 6, NS 1.4) RB, p. 112 See all references for MR 3.1-MR 3.3 below. See all references for MR 3.1-MR 3.3 below. California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 16

19 Publisher: McDougal Littell California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 3.1 Evaluate the reasonableness of the solution in the context of the original situation. 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 in new problem situations. (Gr. 6, NS 2.0) PE/TE, p. 29; (Gr. 6, NS 1.4) PE, pp. E17-E18/ TE, pp. T58-T59 (Gr. 6, NS 1.4) CASRP, pp (Gr. 6, NS 2.4) PE/TE, pp ; (Gr. 6, NS 2.1) PE/TE, pp ; (Gr. 6, NS 1.3) PE/TE, pp ; (Gr. 6, MG 1.2) PE/TE, pp ; (Gr. 6, SDAP 3.4) PE/TE, pp (Gr. 6, AF 2.1) CASRP, pp (Gr. 6, MG 2.2) PE/TE, p. 122 (Exs ); (Gr. 6, MG 2.3) PE/TE, p. 127 (Exs ); (Gr. 6, NS 2.4) PE/TE, p. 193 (Ex. 31); (Gr. 6, AF 3.1) PE/TE, pp (Gr. 6, SDAP 3.2) CASRP, pp RB: (Gr. 6, NS 2.0) RB, p. 18; (Gr. 6, NS 2.0) RB, p. 111 RB: (Gr. 6, SDAP 2.3) RB, p. 74 RB: (Gr. 6, MR 2.0) RB, p. 48 California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 17

20 McDougal Littell California Structure and Method Course 2

21 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), STANDARDS MAP for a Basic Grade-Level Program Grade 7 - Mathematics NUMBER SENSE Language Primary Citations Supporting Citations 1.0 Students know the properties of, and compute with, rational numbers expressed in a variety of forms: T48-T49, T54-T55, 40-47, 51-58, 79-94, 98-99, , CSKCB: P11-P24, S2-S35, T1-T See all references for NS1.1-NS1.7 below. 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. See all references for NS1.1-NS1.7 below , 73-74, 98-99, , , Whole number powers: 40-43, 56-58; Add, subtract, multiply, divide integers: 79-94; Add, subtract, multiply, divide fractions: , ; Add, subtract, multiply, divide decimals: CSKCB: P11-P24, S2-S21, T1-T13 4-6, , Computations: , ; Applications: , ; Estimation: , 137, , RB: 22 (Exs. 9-14), 27 (Exs ), 32 (Exs. 1-2, 5-6), 39 (Exs. 1-6) PM: 11 (Exs , 17-24) RB: 22 (Exs. 1-8), 27 (Exs. 1-5), 32 (Exs. 9-18), 37, 39, 49, 51, 53 PM: Powers: 7 Integer number operations: 12-14; Rational number operations: RB: 51 (Exs. 5-8), 53 (Exs ), 86 (Exs. 6-8), 89, 91 PM: 20, California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 1

22 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 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. 1.7 Solve problems that involve discounts, markups, commissions, and profit and compute simple and compound interest. 108 (top of page), , 359 (top of page) CSKCB: S22-S , 139, T48-T49, T54-T55, CSKCB: S24-S , 137, , CSKCB: S28-S , PM: 20 (Exs. 7-10) RB: 51 (Exs. 5-6), 53 (Exs ) PM: 20 RB: 89, 91 (Ex. 15) PM: 33, 34 RB: 88, 89 (Exs. 2-4, 7-8), 91 (Exs. 16, 19-20) PM: California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 2

23 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 2.0 Students use exponents, powers, and roots and use exponents in working with fractions: 40-43, 56-58, 95-97, , CSKCB: S36-S See all references for NS2.1-NS2.5 below. 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. 2.3 Multiply, divide, and simplify rational numbers by using exponent rules. 2.4 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. See all references for NS2.1-NS2.5 below. Multiply and divide: 40-43, ; Negative whole number exponents: 95-96; Scientific notation: CSKCB: S36-S , 143, , 56-58, 95-97, 109 (Exs ), 114 (Exs. 1-10) CSKCB: S39-S , 148, , , 138, , 77 (Ex ), 78-80, 86 (Ex. 66), 101 (Exs. 5-8) CSKCB: S42-S , 138, RB: 37 (Exs ) PM: 14 (Exs ) RB: 47 (Exs. 6-7) PM: 18 RB: 27 (Exs. 3-5), 37 (Exs ) PM: 7 (Exs ), 14 (Exs ) RB: 124 (Exs. 1-5), 129 (Exs. 1-5) PM: 45 (Exs. 1-12) RB: 32 (Exs. 3-4, 7-8), 39 (Exs. 3-4, 17-18) PM: 11 (Exs. 9-10) California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 3

24 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations ALGEBRA AND FUNCTIONS 1.0 Students express quantitative relationships by using algebraic terminology, expressions, equations, inequalities, and graphs: 2-4, 5-11, 12-15, 20-26, 40, 44, 51-58, 111, 146, 159, , 272, , , 476, 492 CSKCB: S44-S53, T14-T See all references for AF1.1-AF1.5 below. 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) 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. See all references for AF1.1-AF1.5 below. Algebraic expressions: 20-23; Equations and inequalities: 24-26, , , CSKCB: T14-T , 153, , (simplifying and evaluating expressions), 94 (Exs. 1-10), 95-96, 102 (Exs ), 109 (Exs ) 32-33, 149, , 51-58, 63 (Exs. 1-10), 66 (Exs ), 88-91, 95-96, , CSKCB: S44-S , , 9, 12, 20-26, 40, 44, 56, 111, 146, 159, 272, 476, , 149, , , 159, RB: 13, 15 (Exs ) PM: 5 RB: 10 (Exs. 4-10), 15 (Exs. 9-10), 25, 27 (Exs ) PM: 3 (Exs ), 7 (Exs ), 9 (Exs ) RB: 10 (Exs. 1-14), 25 (Exs. 1-9), 27 Test (Ex.18-20) PM: 9, RB: 13, 15-17, 21, 22 California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 4

25 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 1.5 Represent quantitative relationships graphically and interpret the meaning of a specific part of a graph in the situation represented by the graph. 2.0 Students interpret and evaluate expressions involving integer powers and simple roots: Coordinate plane: , ; System of equations: ; Solving Problems: , ; Graphing inequalities: ; Statistical graphs: T66-T67, 258, 440; Number line: 72-73, 75-76, , 158, , 95-96, 98-99, CSKCB: T8-T RB: , 146, 147, PM: 35-38, 43, 44, 53, 55, 56, 60 See all references for AF2.1-AF2.2 below. 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. See all references for AF2.1-AF2.2 below. Positive powers: 40-43; Simplifying expressions: 56-58; Negative powers: 95-96, 98-99, 101 (Exs ); Fractional powers: CSKCB: T8-T , , RB: 22 (Exs. 1 8), 27 (Exs. 1 7), 37 (Exs.13 16) PM: 9 (Exs ) RB: 159 (Exs. 5 6), 165 (Exs. 7 9) PM: 58 (Exs. 1 14) California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 5

26 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 3.0 Students graph and interpret linear and some nonlinear functions: 271e-271f, , , , CSKCB: S54-S See all references for AF3.1-AF3.4 below. 3.1 Graph functions of the form y = nx 2 and y = nx 3 and use in solving problems. See all references for AF3.1-AF3.4 below. 282 (Ex. 40) 45-46, 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 , e-271f, , CSKCB: S54-S , 160, , , , , CSKCB: S61-S , 159, RB: 98 (Exs ), 99, 101 (Exs. 1 3), 102 (Exs. 7-8), 103 (Exs. 6 8) PM: 36-37, 38 (Exs. 1-2) RB: 102 (Ex. 10), 103 (Ex. 8) PM: 38 (Exs. 1-2) California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 6

27 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 4.0 Students solve simple linear equations and inequalities over the rational numbers: , 245, , , , 303, , 353 CSKCB: S64-S76, T14-T See all references for AF4.1-AF4.2 below. 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. See all references for AF4.1-AF4.2 below. Equations: ; Inequalities: 162 (Exs ), , CSKCB: S64-S73, T14-T , 154, (Ex. 20), , , , , 303, , 353 CSKCB: S74-S76, T18-T , RB: 63, 64 (Exs. 7-22), 65 (Exs. 6-17), 66 (Exs. 6-19), 67 (Exs ) PM: RB: 91 (Ex. 7) PM: 31 (Exs.10 15) California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 7

28 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), 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: , , , , CSKCB: P82-P90, S77-S78, T18-T See all references for MG1.1-MG1.3 below. 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. See all references for MG1.1-MG1.3 below. 233 (Exs. 7-8), 234, 292 (Ex. 8), 293 (Exs. 9, 11), , , CSKCB: P82-P90, T18-T , 164, , 165, , , , , CSKCB: S77-S78, T18-T , 166, RB: 91 (Ex.8) PM: 31 (Exs ) RB: 91 (Ex.7), 113 (Ex. 9), 115 (Ex. 17) PM: 31 (Exs.10, 14-15), 42 (Exs. 9-11) California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 8

29 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 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. 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. T60-T61, , , CSKCB: P92-P See all references for MG2.1-MG2.4 below. Perimeter of circle: 188, 189; Perimeter: ; Area: T60-T61, ; Volume: , ; Surface area: ; Circumference: T60-T61, CSKCB: P92-P , , 176, (two-dimensional), 313 (area of trapezoid), (Exs , 20-21), 319 (Exs ), , (area and volume) 69-70, , 176, , , 312, , , 176, See all references for MG2.1-MG2.4 below. RB: 70 (Exs. 3-4), 73 (Exs. 1, 3), 75 (Exs. 7-8), 77 (Exs. 3, 14), 108, 113, 115 PM: 25 (Ex. 10), 28 (Exs. 1-4), 39, 40 (Exs. 1-3), 41, 42 RB: 108 (Exs ), 111, 112 PM: 39 (Ex. 8), 40 (Exs. 4-11) RB: 111, 113 (Exs. 5-7), 115 (Exs ) PM: California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 9

30 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 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: 233 (Exs. 7-8), , , , , 344 CSKCB: T18-T , 164, T62-T63, 187, , 196, , , , , 313, 315, 326, 329, , , , 343, , 382 CSKCB: S79-S See all references for MG3.1-MG3.6 below. 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. See all references for MG3.1-MG3.6 below. T62-T63, 187, 189 (Exs. 5-6), , 196, 201, 199 (Exs ), (Exs , 23, 26-27), (Exs , 22-24), 210, 212 (Exs , 25), 215 (Exs.13-18) 76-78, 170, , , , 313, , , , 382 CSKCB: S79-S , 171, PM: 26 (Exs. 4-5) RB: 96 RB: 123, 124 (Exs. 9-10), 129 (Exs. 7-10, 14-15) PM: 46 (Exs ) California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 10

31 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), 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). 182, 184, , 195, 197, , 203 (Ex. 27), , 211 (Exs. 7, 10, 16), 212 (Exs ), CSKCB: S87-S , 172, (Exs ), 335, 338 (Exs ) 86-87, 177, , , 334 (Exs ), , 339 (Ex. 20), 340 (spheres), 343 (Exs ) CSKCB: S93-S , RB: 72, 74 (Exs ), 75 (Exs. 6, 9-10), 77 (Exs.15-17) PM: 26 (Exs. 4-5), 28 (Exs. 8-12) RB: 83, 109 (Exs. 1-3) California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 11

32 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), 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-and-whisker 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. T66-T67, , CSKCB: S100-S See all references for SDAP1.1- SDAP 1.3 below. Bar and line graphs: ; Numerical data: ; Frequency distribution: ; Stem-and-leaf: T66-T67, ; Box-and-whisker: ; Histogram: , 181, , CSPW: 76, T66-T67, , , CSKCB: S100-S , See all references for SDAP1.1- SDAP 1.3 below. RB: 147, 149, 151, 152 (Exs. 1-3), PM: 53, 54, 55, 56, 60 (Exs ) RB: 151 (Exs. 4-7), 152 (Ex. 8), 153 (Ex. 6), 154 (Ex. 6) PM: 54, 55 California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 12

33 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations MATHEMATICAL REASONING 1.0 Students make decisions about how to approach problems: (Gr. 7, AF 1.1) PE/TE, 27-31; (Gr. 7, NS 1.2) PE/TE, 59-63; (Gr. 7, NS 1.2) PE/TE, 69; (Gr. 7, NS 1.2) PE/TE, See all references for MR1.1-MR1.3 below. (Gr. 7, NS 1.2; Gr. 7, MG 1.1; Gr. 7, MG 2.1) CASRP, Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information, sequencing and prioritizing information, and observing patterns. See all references for MR1.1-MR1.3 below. (Gr. 7, AF 1.1) PE/TE, 27-31; (Gr.7, NS 1.2) PE/TE, 37 (Exs. 1-7); (Gr. 7, NS 1.2) PE/TE, 59-63; (Gr. 7, NS 1.2) PE/TE, 69; (Gr. 7, NS 1.2) PE/TE, 103; (Gr. 7, NS 1.2) PE/TE, ; (Gr. 7, AF 1.1) PE/TE, 179; (Gr. 7, NS 1.7) PE/TE, 353 (Exs. 4-5); RB: (Gr. 7, NS 1.2) RB, 12; (Gr. 7, NS 1.2) RB, 23-24; (Gr. 7, NS 1.2) RB, 35; (Gr. 7, MG 2.1) RB, 73 (Gr. 7, NS 1.2) CASRP, California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 13

34 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 1.2 Formulate and justify mathematical conjectures based on a general description of the mathematical question or problem posed. (Gr. 7, NS 1.2) TE, T46-T47; (Gr. 7, NS 1.2) PE, E3-E4; (Gr. 7, NS 1.2) PE/TE, 43 (Ex. 48); (Gr. 7, NS 2.5) PE/TE, 82 (Ex. 53); (Gr. 7, NS 1.2) PE/TE, 117 (Ex. 45); (Gr. 7, MG 3.1) PE/TE, 216 (Ex. 21); (Gr. 7, MG 2.1) 310 (Exs ); (Gr. 7, MG 2.3) 329 (Exs ) RB: (Gr. 7, NS 2.1) RB, Determine when and how to break a problem into simpler parts. (Gr. 7, MG 1.1) CASRP, pp (Gr. 7, NS 1.2) PE/TE, 27-31; (Gr. 7, NS 1.2) PE/TE, 59-63; (Gr. 7, NS 1.2) PE/TE, 141; (Gr. 7, MG 2.1) PE/TE, ; (Gr. 7, NS 1.3) PE/TE, 269 (Ex. 8); (Gr. 7, MG 3.3) PE/TE, ; (Gr. 7, MG 2.1) PE/TE, 353 (Ex. 8) RB: (Gr. 7, NS 1.2) RB, 46; (Gr. 7, AF 4.2) RB, 57; (Gr. 7, AF 1.1) RB, (Gr. 7, MG 2.1) CASRP, California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 14

35 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 2.0 Students use strategies, skills, and concepts in finding solutions: T50-T51, 55, 59-61, , , , , 227, , , 336 See all references for MR2.1-MR2.7 below. (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, Use estimation to verify the reasonableness of calculated results. See all references for MR2.1-MR2.7 below. (Gr. 7, NS 1.2) PE/TE, 59-63; (Gr. 7, NS 1.2) PE/TE, 62 (Exs. 5-6); (Gr. 7, AF 1.1) PE/TE ; (Gr. 7, MG 2.1) PE/TE, 227 (Exs. 1, 9, 10, 11); (Gr. 7, NS 2.4) PE/TE, ; (Gr. 7, NS 1.2) PE/TE, RB: (Gr. 7, NS 1.2) RB, 30; (Gr. 7, NS 1.2) RB, 33; (Gr. 7, NS 1.2) RB, 48; (Gr. 7, NS 1.2) RB, 68 (Gr. 7, NS 1.1; Gr. 7, NS 1.2) CASRP, California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 15

36 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 2.2 Apply strategies and results from simpler problems to more complex problems. (Gr. 7, AF 4.1) PE/TE, ; (Gr. 7, AF 4.1) PE/TE, ; (Gr. 7, NS 1.7) PE/TE, 303 (Exs.4-6); (Gr. 7, MG 2.3) PE/TE, ; (Gr. 7, NS 1.2) PE/TE, 437 (Exs. 1, 7); (Gr. 7, NS 1.7) PE/TE, 473 (Ex. 1) RB: (Gr. 7, NS 1.2) RB, 46; (Gr. 7, AF 4.2) RB, 57; (Gr. 7, AF 1.1) RB, Estimate unknown quantities graphically and solve for them by using logical reasoning and arithmetic and algebraic techniques. (Gr. 7, MG 2.1) CASRP, (Gr. 7, AF 3.3) PE/TE, ; (Gr. 7, AF 3.3) PE/TE, ; RB: (Gr. 7, AF 1.1) RB, 99; (Gr. 7, MG 2.2) RB, Make and test conjectures by using both inductive and deductive reasoning. (Gr. 7, SDAP 1.1; Gr. 7, SDAP 1.2) CASRP, (Gr. 7, NS 2.5) PE/TE. 82 (Ex. 53); (Gr. 7, AF 2.0) PE/TE. 96 (Exs ); (Gr. 7, NS 1.1) PE/TE, 117 (Ex. 45; (Gr. 7, MG 3.1) PE/TE, 199 (Exs ) RB: (Gr. 7, AF 4.2) RB, 59; (Gr. 7, MG 2.1) RB, 109 (Gr. 7, AF 1.0) CASRP, California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 16

37 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), 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, AF 4.1) PE/TE, 277 (Example 3); (Gr. 7, AF 4.1) PE/TE, ; (Gr. 7, NS 2.4) PE/TE, ; (Gr. 7, MG 2.1) PE/TE, 437 (Exs. 6, 8) RB: (Gr. 7, NS 1.2) RB, 11-12; (Gr. 7, NS 1.2) RB, 35; (Gr. 7, AF 4.1) RB, 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, NS 1.0) CASRP, (Gr. 7, NS 1.1) PE/TE, 98-99; (Gr. 7, NS 1.5) PE/TE, ; (Gr. 7, MG 3.1) PE/TE, RB: (Gr. 7, MG 3.4) RB, 75 (Exs. 9-10); (Gr. 7, MG 2.1) RB, Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy. (Gr. 7, NS 1.0) CASRP, (Gr. 7, NS 1.2) PE/TE, 48-50; (Gr. 7, MS 1.2) PE/TE, 303 (Exs. 1, 8, 9); (Gr. 7, MG 2.1) PE/TE, ; (Gr. 7, MG 2.3) PE/TE, ; (Gr. 7, NS 2.4) PE/TE, RB: (Gr. 7, MG 2.1) RB, 108; (Gr. 7, MG 2.1) RB, ; (Gr. 7, NS 2.4) RB, 124 (Gr. 7, NS 1.0) CASRP, California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 17

38 Publisher: McDougal Littell, Inc. California s Review and Practice (CASRP), Algebra Skills Resources (ASR), Resource Book (RB), Language Primary Citations Supporting Citations 2.8 Make precise calculations and check the validity of the results from the context of the problem. (Gr. 7, NS 1.2) PE/TE, 27-31; (Gr. 7, NS 1.2) PE/TE, 59-63; (Gr. 7, AF 1.1) PE/TE ; RB: (Gr. 7, NS 1.2) RB, 56; (Gr. 7, NS 1.2) RB, 94 (Exs. 1-5); (Gr. 7, NS 1.7) RB, 106 (Exs. 2, 4) 3.0 Students determine a solution is complete and move beyond a particular problem by generalizing to other situations: (Gr. 7, NS 1.0) CASRP, (Gr. 7, NS 1.2) PE/TE ; (Gr. 7, NS 1.2) PE/TE, 79-93; (Gr. 7, NS 1.5) PE/TE, ; (Gr. 7, AF 4.1) PE/TE, See all references for MR3.1-MR3.3 below. (Gr. 7, AF 1.0; Gr. 7, AF 1.1; Gr. 7, MG 2.1) CASRP, Evaluate the reasonableness of the solution in the context of the original situation. See all references for MR3.1-MR3.3 below. (Gr. 7, NS 1.2) PE/TE, 59-63; (Gr. 7, NS 1.2) PE/TE, 62 (Exs. 5-6); (Gr. 7, AF 1.1) PE/TE ; (Gr. 7, NS 1.2) PE/TE, 393 (Exs. 1, 4, 5, 6) RB: (Gr. 7, NS 1.2) RB, 13 (Exs. 8-9); (Gr. 7, NS 1.2) RB, 14 (Ex. 29); (Gr. 7, NS 1.2) RB, 15 (Ex. 22); (Gr. 7, NS 1.2) RB, 35; (Gr. 7, NS 1.2) RB, 132 (Gr. 7, MG 2.1) CASRP, California Department of Education Basic Grade-Level Program s Map SBE Approved November 2006 Page 18