Prentice Hall Connected Mathematics 2, 6th Grade Units 2006 C O R R E L A T E D T O Mississippi Mathematics Framework 2007 Revised, Grade 6
NUMBER AND OPERATIONS 1. Analyze numbers using place value and prime factorization. Solve problems involving basic operations of rational numbers. Objectives Pupil Edition Page References Teacher Edition Page References a. Compare and order rational numbers using symbols (<, >, and =) and a number line. (DOK 1) I Sharing and Comparing With Fractions (23-25, 29-30, 33, 34); Moving Between Fractions and Decimals (39, 45-46, 48-50, 52-53); Working With Percents (57, 61, 65); Review (70); Bits and Pieces II Estimating With Fractions (13-14); Adding and Subtracting Fractions (25, 28, 30); Bits Less (5, 16); The Decimal Divide (45, 47); Using Percents (57, 59); How Likely Is It? A First Look at I Sharing and Comparing With Fractions (57-66); Moving Between Fractions and Decimals (85, 101-106, 108-111); Bits and Pieces II Estimating With Fractions (20, 23-24); Adding and Subtracting Fractions (56-57); Bits and Pieces III Less (34); The Decimal Divide (81); Using Percents (98); How Likely Is It? A First Look at Chance (34); Investigation 3: Making Decisions With Probability (73) 1
b. Use estimation strategies to determine the reasonableness of results in a variety of situations including rational number computations. (DOK 2) c. Determine the Greatest Common Factor (GCF) and Least Common Multiple (LCM) of two numbers. (DOK 2) Chance (16); Making Decisions With Probability (49) II Fractions (36); Bits Less (6-7, 13-14); Decimal Times (22, 24-26, 28-30); The Decimal Divide (38-39); Investigation 5: More About Percents (67) SE: Prime Time Whole Number Patterns and Relationships (26-29, 31-32, 34); Common Multiples and Common Factors (37-48, 52); Factorizations: Searching for Factor Strings (53-55, 57, 60, 68, 69); Review (71, 73) II Fractions (71-74); Bits Less (19-20, 33-35); Decimal Times (37-39, 41-42, 47-49, 53, 57-59); The Decimal Divide (65, 69); Investigation 5: More About Percents (113) TG: Prime Time Whole Number Patterns and Relationships (45-48, 50-51); Investigation 3: Common Multiples and Common Factors (53-73); Factorizations: Searching for Factor Strings (87-94) 2
d. Compute using basic operations with fractions and mixed numbers. Express answers in the simplest form. (DOK 1) I Fundraising Fractions (23, 33); Shapes and and Tiling (67); Bits and Pieces II Adding and Subtracting Fractions (16-23, 24-30, 31); Fractions (32-39, 40-46, 47); Dividing With Fractions (48-54, 55-61, 62); Review (63-64); Covering and Designing Bumper Cars (13-17); Changing Area, Changing Perimeter (31-32, 34-35); Measuring Triangles (46); Investigation 4: Measuring Parallelograms (58, 61, 66); Investigation 5: (86); Bits and I Sharing and Comparing With Fractions (75); Shapes and and Tiling (80); Bits and Pieces II Mathematics of the Unit (3-12); Adding and Subtracting Fractions (34-37, 39-43, 45-54, 55-58); Fractions (59-67, 69-77, 79-84, 85-8; Dividing With Fractions (89-99, 101-105, 107-111, 113-114, 115-119); Covering and Designing Bumper Cars (34-36); Changing Area, Changing Perimeter (58-59); Measuring Triangles (83-86); 3
e. Solve problems by dividing whole and decimal numbers by decimals and interpret the quotient and remainder within the problem context. (DOK 2) Pieces III Less (10-12, 13-19, 20); Decimal Times (21-22, 33); The Decimal Divide (38-39, 43, 46, 49); Using Percents (57, 59); Investigation 5: More About Percents (72); How Likely Is It? Experimental and Theoretical Probability (28, 32, 34); Data About Us What Do We Mean by Mean? (53, 57-58) III The Decimal Divide (36-40, 43-44, 49) Measuring Parallelograms (101, 103-104, 105-108); Bits Less (25-28, 33-35); Decimal Times (37-39, 41-42, 59); The Decimal Divide (65-67, 69-72, 79-80, 82); Using Percents (98-99); Review (115); How Likely Is It? Investigation 2: Experimental and Theoretical Probability (53-56); Data About Us What Do We Mean by Mean? (81-86, 92) III The Decimal Divide (60-74, 79-82) 4
f. Explain the relationship(s) among fractions, decimals, and percents and model and represent a specific quantity in multiple ways. (DOK 2) I Sharing and Comparing With Fractions (19-23, 26-29, 31-34); Moving Between Fractions and Decimals (35-53); Working With Percents (58-60, 62-65, 68); Review (70-71); Shapes and Bees and Polygons (20); Polygons and Angles (47); Bits and Pieces II Estimating With Fractions (12-13); Bits Less (5, 10, 12, 15, 20); Decimal Times (21-22, 33); The Decimal Divide (41-45, 47, 49); Using Percents (57, 59); Investigation 5: More About Percents (62-63); Review I Sharing and Comparing With Fractions (51-59, 61-62, 67-69, 71-72, 73-76); Investigation 3: Moving Between Fractions and Decimals (77-81, 83-103, 105-106, 107-111); Investigation 4: Working With Percents (119-121, 123-132, 133-136); Shapes and Bees and Polygons (33); Polygons and Angles (59); Bits and Pieces II Estimating With Fractions (32-33); Bits Mathematics of the Unit (4-8); Less (15-17, 19-20, 25-28, 33-35); Decimal Times (37-39, 41-42, 59); The Decimal Divide (75-78); Using Percents (87-5
g. Model addition and subtraction of integers with physical materials and the number line. (DOK 2) (78); How Likely Is It? Making Decisions With Probability (48) This standard can be developed from: II Adding and Subtracting Fractions (30); Bits and Pieces III Less (19) 92, 97-99); Investigation 5: More About Percents (109-112, 113-116); How Likely Is It? Making Decisions With Probability (73) II Adding and Subtracting Fractions (57); Bits and Pieces III Less (35) 6
h. Solve problems by finding the percentage of a number including percentages greater than 100 and less than 1. (DOK 2) i. Multiply four-digit numbers by two-digit numbers (including whole numbers and decimals). (DOK 1) I Working With Percents (54-68); Review (69-71); Bits and Pieces II Estimating With Fractions (12); Bits Using Percents (50-61); Investigation 5: More About Percents (62-73); Unit Project (74-75); Review (76-78); How Likely Is It? A First Look at Chance (16); Experimental and Theoretical Probability (32); Making Decisions With Probability (48) III Decimal Times (28, 30, 32) I Working With Percents (112-135); Bits and Pieces II Estimating With Fractions (32); Bits Using Percents (83-99); Investigation 5: More About Percents (100-116); How Likely Is It? A First Look at Chance (34); Investigation 2: Experimental and Theoretical Probability (56); Making Decisions With Probability (73) III Decimal Times (57-59) 7
j. Explain the meaning of multiplication and division of rational numbers. (DOK 2) An opportunity to address this standard can be found on: II Fractions (32-47); Dividing With Fractions (48-62); Bits Decimal Times (21-35); The Decimal Divide (36-49) k. Explain the meaning and relationship between absolute value and opposites. (DOK 2) Students experience the meaning of negative numbers in real-world problem situations and graph positive and negative integers on a number line. II Adding and Subtracting Fractions (30); Bits and Pieces III Less (19); Decimal Times (34) For additional coverage, see Grade 7 CMP2 Unit, Accentuate the II Fractions (59-88); Dividing With Fractions (89-118); Bits Decimal Times (36-59); The Decimal Divide (60-82) II Adding and Subtracting Fractions (57); Bits and Pieces III Less (35); Decimal Times (59) 8
Negative. ALGEBRA 2. Use algebraic functions, patterns, and language across a variety of contexts. Objectives a. Solve simple equations using guess-and-check, diagrams, properties, or inspection, explaining the process used. (DOK 2) Pupil Edition Page References II Adding and Subtracting Fractions (21-22, 26-27, 29); Fractions (38); Dividing With Fractions (54, 59-60); Bits and Pieces III Less (12, 15-18); Decimal Times (28-30, 33); The Decimal Divide (44); Using Percents (58) b. Complete a function table based on a given rule. (DOK 2) An opportunity to address this standard can be found on: SE: Covering and Investigation 5: (81, 86) Teacher Edition Page References II Adding and Subtracting Fractions (40, 45); Fractions (80); Dividing With Fractions (114, 117); Bits Less (29, 34-35); Decimal Times (57-58); The Decimal Divide (80); Investigation 4: Using Percents (98) TG: Covering and Investigation 5: (122, 127-128, 130-131) 9
c. Formulate algebraic expressions, equations, and inequalities to reflect a given situation. (DOK 2) d. State the following properties using variables and apply them in solving problems: (DOK 1) Zero property of multiplication Inverse properties of addition/subtraction and multiplication/division Commutative and associative properties of addition and multiplication Identity properties of addition and multiplication Distributive properties of multiplication over addition and subtraction SE: Shapes and and Tiling (55, 62-69); Bits and Pieces III Less (16-17); The Decimal Divide (48) For additional coverage, see Grade 7 CMP2 Unit Variables and Patterns. An opportunity to address this standard can be found on: II Fractions (38); Covering and Designing Bumper Cars (15) TG: Shapes and and Tiling (79-81); Bits Less (34); The Decimal Divide (82) II Fractions (80); Covering and Designing Bumper Cars (35) 10
e. Describe a rule for a function table using words, symbols, and points on a graph and vice versa. (DOK 2) An opportunity to address this standard can be found on: SE: Shapes and and Tiling (55, 67-68); Covering and Investigation 5: (75, 77, 81, 86) TG: Shapes and and Tiling (65-66, 80-81); Covering and Investigation 5: (122, 127-128, 130-131) GEOMETRY 3. Analyze geometric relationships of lines, angles, two- and three-dimensional shapes, and transformations. Objectives Pupil Edition Page References Teacher Edition Page References a. Compare, classify, and construct transformations (reflections, translations, and rotations). (DOK 3) b. Construct three-dimensional figures using manipulatives and generalize the relationships among vertices, faces, and edges (such as Euler s Formula). (DOK 3) SE: Shapes and Polygons and Angles (50) For additional coverage, see Grade 7 CMP2 Unit, Comparing and Scaling. SE: How Likely Is It? Probability, Genetics, and Games (68) TG: Shapes and Polygons and Angles (60) TG: How Likely Is It? Probability, Genetics, and Games (89) 11
c. Draw, label, and classify polygons to include regular and irregular shapes. Identify congruent and symmetrical figures. (DOK 1) SE: Prime Time Whole Number Patterns and Relationships (23-24, 32-33); Shapes and Unit Project (5-6); Investigation 1: Bees and Polygons (7-23); Polygons and Angles (24, 44, 46-51, 53); and Tiling (54-55); Building Polygons (70-82); Review (83-86); Covering and Measuring Triangles (42-43, 47); Bits Less (16-17); How Likely Is It? Probability, Genetics, and Games (66) TG: Prime Time Whole Number Patterns and Relationships (36-38, 50-51); Shapes and Introduction (3-10); Bees and Polygons (17-19, 21-27, 29-34); Polygons and Angles (58-60); Investigation 3 (63-66); Investigation 4 (82-91, 93-98); Unit Project (99-100) Covering and Introduction (6-7); Measuring Triangles (75-78, 84); Bits Less (34); How Likely Is It? Making Decisions With Probability (73-74); Probability, Genetics, and Games (88) 12
d. Identify, estimate, and compare right, acute, and obtuse angles. (DOK 1) SE: Shapes and Polygons and Angles (28, 41-42); and Tiling (63, 66); Review (84-86) e. Explain the relationships between corresponding parts of the pre-image and image of a dilation. (DOK 2) Similar figures compared: SE: Shapes and and Tiling (62) For additional coverage, see Grade 7 CMP2 Unit, Stretching and Shrinking. TG: Shapes and Polygons and Angles (36-40, 57); and Tiling (79-80); Review (97-98) TG: Shapes and and Tiling (79) 13
MEASUREMENT 4. Apply geometric formulas and standard (English and metric) units of measurement in mathematical and reallife situations. Objectives Pupil Edition Page References Teacher Edition Page References a. Convert units within a given measurement system to solve problems. (DOK 1) SE: Prime Time Factorizations: Searching for Factor Strings (59); Bits and Pieces II Fractions (44); Dividing With Fractions (61); Covering and Designing Bumper Cars (16-17); Bits Less (17-18) TG: Prime Time Factorizations: Searching for Factor Strings (94); Bits and Pieces II Fractions (87); Dividing With Fractions (118); Covering and Designing Bumper Cars (35-36); Bits Less (33-34) 14
b. Calculate the perimeter and area of regular and irregular shapes using a variety of methods. (DOK 2) II Fractions (42); Covering and Designing Bumper Cars (5-18); Changing Area, Changing Perimeter (19-36); Measuring Triangles (37-52); Measuring Parallelograms (53-68); Investigation 5: (69-88); Bits and Pieces III Less (16-17); Decimal Times (33); The Decimal Divide (48) II Fractions (86); Covering and Designing Bumper Cars (17-36); Changing Area, Changing Perimeter (37-59); Measuring Triangles (60-86); Measuring Parallelograms (87-108); Investigation 5: Measuring Irregular Shapes and Circles (109-133); Bits Less (34); Decimal Times (59); The Decimal Divide (82) 15
c. Determine the radius, diameter, and circumference of a circle. (DOK 1) SE: Covering and Investigation 5: (72-77, 80-88); Bits The Decimal Divide (47) d. Use scale factors to perform dilations and to solve ratio and proportion problems. (DOK 2) II Fractions (44) For additional coverage, see Grade 7 CMP2 Unit, Stretching and Shrinking. e. Predict and calculate the volume of prisms. (DOK 2) See the Grade 7 CMP2 Unit, Filling and Wrapping. TG: Covering and Investigation 5: (109, 115-133); Bits The Decimal Divide (81) II Fractions (87) See the Grade 7 CMP2 Unit, Filling and Wrapping. 16
f. Apply techniques and tools to accurately find length, area, and angle measures to appropriate levels of precision. (DOK 1) SE: Shapes and Polygons and Angles (28-29, 33-53); and Tiling (54-55, 61-67, 69); Building Polygons (76, 79-80); Review (84-85); Bits and Pieces II Fractions (42, 44-45); Covering and Designing Bumper Cars (5-18); Changing Area, Changing Perimeter (19-36); Measuring Triangles (37-52); Measuring Parallelograms (53-68); Investigation 5: (69-88); Bits and Pieces III Less (17); TG: Shapes and Polygons and Angles (35-61); and Tiling (62-81); Building Polygons (95-96); Review (97-98); Bits and Pieces II Fractions (86-87); Covering and Designing Bumper Cars (17-36); Changing Area, Changing Perimeter (37-59); Measuring Triangles (60-86); Measuring Parallelograms (87-108); Investigation 5: Measuring Irregular Shapes and Circles (109-133); Bits Less (34); 17
Decimal Times (32-33); The Decimal Divide (48) g. Explain the relationship of circumference of a circle to its diameter, linking to pi. (DOK 1) SE: Covering and Investigation 5: (72-77, 80-88); Bits The Decimal Divide (47) DATA ANALYSIS & PROBABILITY 5. Organize, interpret, analyze, and display data to predict trends. Objectives Pupil Edition a. Construct, interpret, and explain line graphs, double bar graphs, frequency plots, stemand-leaf plots, histograms, and box-and-whisker plots. (DOK 2) Page References III Investigation 5: More About Percents (70-71); Data About Us Looking at Data (8-11, 16-29); Using Graphs to Explore Data (30-48); What Do We Mean by Mean? (52-54, 56-57, 60); How Likely Is It? A First Look at Chance (17-18); Experimental and Decimal Times (59); The Decimal Divide (80, 82) TG: Covering and Investigation 5: (109, 115-133); Bits The Decimal Divide (81) Teacher Edition Page References III Investigation 5: More About Percents (114-115); Data About Us Looking at Data (37-40); Using Graphs to Explore Data (46-72); What Do We Mean by Mean? (90-92); How Likely Is It? A First Look at Chance (34-35); Experimental and Theoretical Probability (56); 18
Theoretical Probability (34); Probability, Genetics, and Games (68) b. Determine how changes in data affect mean, median, mode, and range. (DOK 2) III The Decimal Divide (40); Data About Us Looking at Data (12-13, 20-23); What Do We Mean by Mean? (51-63) c. Predict trends based on graphical representation. (DOK 3) III Investigation 5: More About Percents (69); Data About Us Looking at Data (8-11, 16-29); Using Graphs to Explore Data (30-35, 38-48); Investigation 3: What Do We Mean by Mean? (52-54, 56-57, 60); How Likely Is It? A First Look at Chance (17-18); Experimental and Theoretical Probability (34) Probability, Genetics, and Games (89) III The Decimal Divide (74); Data About Us Looking at Data (27-30, 37-43); What Do We Mean by Mean? (73-94) III Investigation 5: More About Percents (114); Data About Us Looking at Data (37-40); Using Graphs to Explore Data (46-72); What Do We Mean by Mean? (90-92); How Likely Is It? A First Look at Chance (34-35); Experimental and Theoretical Probability (56) 19