Connected Mathematics 2, 6 th and 7th Grade Units 2009 Correlated to: Washington Mathematics Standards (Grade 6)

Size: px

Start display at page:

Download "Connected Mathematics 2, 6 th and 7th Grade Units 2009 Correlated to: Washington Mathematics Standards (Grade 6)"

Katherine Stone
6 years ago
Views:

1 Grade Core Content: Multiplication and division of fractions and decimals (Numbers, Operations, Algebra) 6.1.A Compare and order non-negative fractions, decimals, and integers using the number line, lists, and the symbols <, >, or =. 6.1.B Represent multiplication and division of non-negative fractions and decimals using area models and the number line, and connect each representation to the related equation. 6.1.C Estimate products and quotients of fractions and decimals. 6.1.D Fluently and accurately multiply and divide non-negative fractions and explain the inverse relationship between multiplication and division with fractions. 6.1.E Multiply and divide whole numbers and decimals by 1000, 100, 10, 1, 0.1, 0.01, and F Fluently and accurately multiply and divide non-negative decimals. 6.1.G Describe the effect of multiplying or dividing a number by one, by zero, by a number between zero and one, and by a number greater than one. 6.1.H Solve single- and multi-step word problems involving operations with fractions and decimals and verify the solutions. SE: Bits and Pieces I Investigation 2 (19-27, 29, 33 #72), Investigation 3 (35-46, 50 #33-50); Bits and Pieces III (16 #38) TG: Bits and Pieces I (8, 46-72, 74, 76, , 109); Bits and Pieces III (34) SE: Bits and Pieces II Investigation 3 (32-39), Investigation 4 (48-54); Bits and Pieces III Investigation 2 (21-27), Investigation 3 (36-42) TG: Bits and Pieces II (6-12, 60-84, ); Bits and Pieces III (5-6, 37-53, 62-76) SE: Bits and Pieces I Investigation 2.3 (57-59), Investigation 3.3 (23-24); Bits and Pieces II Investigation 3 (32-39, 58 #14); Bits and Pieces III Investigation 2.1 (21-23), Investigation 2.3 (24-25), Investigation 3.1 (36-37), Investigation 3.2 (38-39) TG: Bits and Pieces I (57-59, 91-94); Bits and Pieces II (5, 60-84, 116); Bits and Pieces III (5-6, 37-39, 47-48, 62, 65-67) SE: Bits and Pieces II Investigation 3 (32-39), Investigation 4 (48-54) TG: Bits and Pieces II (6-12, 60-84, ) SE: Bits and Pieces III Investigation 2.4 (26-27), Investigation 3.2 (38-39), Investigation 3.3 (40) TG: Bits and Pieces III (6, 51-56, 65-70, 71-74) SE: Bits and Pieces III Investigation 2 (21-27), Investigation 3 (36-42) TG: Bits and Pieces III (36-56, 60-78) SE: Bits and Pieces II (35 D, 47 #2); (done in Prime Time: 46 #40) TG: Bits and Pieces II (6-12, 70, 88); (Prime Time: 5, 72) SE: Bits and Pieces II Investigation 2, 3, & 4 (16-61); Bits and Pieces III Investigation 1 (5-12), Investigation 2 (21-27), Investigation 3 (36-42) TG: Bits and Pieces II (34-114); Bits and Pieces III (16-32, 36-56, 60-78) 6.2. Core Content: Mathematical expressions and equations (Operations, Algebra) 1

2 6.2.A Write a mathematical expression or equation with variables to represent information in a table or given situation. 6.2.B Draw a first-quadrant graph in the coordinate plane to represent information in a table or given situation. 6.2.C Evaluate mathematical expressions when the value for each variable is given. 6.2.D Apply the commutative, associative, and distributive properties, and use the order of operations to evaluate mathematical expressions. 6.2.E Solve one-step equations and verify solutions. 6.2.F Solve word problems using mathematical expressions and equations and verify solutions. SE: Variables and Patterns Investigation 3 (49-54, 57); Comparing and Scaling Investigation 3.1 (34), Investigation 3.3 (36-37, 40 #3) TG: Variables and Patterns (7, 69-80, 83); Comparing and Scaling (52-53, 61-62, 69-70) SE: Variables and Patterns Investigation 1.2 (7-9), Investigation 1.3 (10-11), Investigation 1.5 (14), Investigation 2.2 (32), Investigation 3.1 (49-51), Investigation 3.2 (52-53); Comparing and Scaling (41-42 #9-10) TG: Variables and Patterns (4-7, 21-22, 25-26, 33-34, 51-52, 69-70, 73-74); Comparing and Scaling (70) SE: Bits and Pieces II Investigation 2.1 (16-19); Variables and Patterns Investigation 3 (49-54, 56); Comparing and Scaling Investigation 3.1 (33-34), Investigation 3.3 (36-37) TG: Bits and Pieces II (35-37); Variables and Patterns (69-80, 82); Comparing and Scaling (52-53, 61-62) 1.3 (8-9, 15 #27); Accentuate the Negative (24, 57), Investigation 4.1 (60-63), Investigation 4.2 (64-65), Investigation 4.3 (66-68) TG: Covering and Surrounding (5-6, 27-29, 35); Accentuate the Negative (6, 40, 84, 87-88; 91-92, 95-96) SE: Bits and Pieces II Investigation 2.2 (19-21), Investigation 2.3 (21-22, 26); Bits and Pieces III Investigation 1.4 (12, 15); Variables and Patterns Investigation 3.1 (49-51); Comparing and Scaling Investigation 3.1 (34) TG: Bits and Pieces II (41-43, 47-48, 56); Bits and Pieces III (29-30, 33-34); Variables and Patterns (69-70); Comparing and Scaling (52-53) SE: Bits and Pieces II Investigation 2.1 (16-19), Investigation 2.2 (19-21); Covering and Surrounding (15 #27); Variables and Patterns Investigation 3 (49-54); Comparing and Scaling Investigation 3.1 (34), Investigation 3.3 (36-37, #3,9,10) TG: Bits and Pieces II (35-37, 41-43); Covering and Surrounding 35; Variables and Patterns (69-80); Comparing and Scaling (52-53, 61-62, 69-70) 2

3 6.3. Core Content: Ratios, rates, and percents (Numbers, Operations, Geometry/Measurement, Algebra, Data/Statistics/Probability) 6.3.A Identify and write ratios as comparisons of part-to-part and part-to-whole relationships. SE: Bits and Pieces I Investigation 4.3 (58-59); How Likely Is It? Investigation 1.3 (8-9); Comparing and Scaling Investigation 1 (5-9), Investigation 2 (18-23) TG: Bits and Pieces I (5, ); How Likely Is It? (25-26); Comparing and Scaling (4-6, 14-26, 31-46) 6.3.B Write ratios to represent a variety of rates. SE: Comparing and Scaling Investigation 3 (33-39) TG: Comparing and Scaling (4-7, 51-68) 6.3.C Represent percents visually and numerically, and convert between the fractional, decimal, and percent representations of a number. 6.3.D Solve single- and multi-step word problems involving ratios, rates, and percents, and verify the solutions. 6.3.E Identify the ratio of the circumference to the diameter of a circle as the constant and recognize 22/7 and 3.14 as common approximations of. 6.3.F Determine the experimental probability of a simple event using data collected in an experiment. 6.3.G Determine the theoretical probability of an event and its complement and represent the probability as a fraction or decimal from 0 to 1 or as a percent from 0 to 100. SE: Bits and Pieces I Investigation 3 (35-44), Investigation 4 (54-60); Comparing and Scaling Investigation 1 (5-9), Investigation 2 (18-23) TG: Bits and Pieces I (4-8, , ); Comparing and Scaling (6, 14-26, 31-46) SE: Bits and Pieces III Investigation 4 (50-54), Investigation 5 (62-66); How Likely Is It? Investigation 1.3 (8-9); Comparing and Scaling Investigation 2 (18-23), Investigation 3 (33-39) TG: Bits and Pieces III (7-8, 83-96, ); How Likely Is It? (25-26); Comparing and Scaling (31-46, 51-68) 5.2 (72-72, 76); TG: Covering and Surrounding ( ) SE: How Likely Is It? Investigation 1 (5-12), Investigation 3 (39-43), Investigation 4.1 (55-56), Investigation 4.3 (60-61) TG: How Likely Is It? (3-7, 15-32, 58-70, 76, 83-84) SE: How Likely Is It? Investigation 2 (21-27), Investigation 3 (39-43), Investigation 4.2 (57-59), Investigation 4.3 (60-61) TG: How Likely Is It? (3-7, 37-52, 58-70, 79-80, 83-84) 6.4. Core Content: Two- and three-dimensional figures (Geometry/Measurement, Algebra) 6.4.A Determine the circumference and area of circles. 5.2 (72-73), Investigation 5.3 (74-76), Investigation 5.4 (77) TG: Covering and Surrounding (7-8, , , ) 3

4 6.4.B Determine the perimeter and area of a composite figure that can be divided into triangles, rectangles, and parts of circles. 6.4.C Solve single- and multi-step word problems involving the relationships among radius, diameter, circumference, and area of circles, and verify the solutions. 6.4.D Recognize and draw two-dimensional representations of three-dimensional figures. 6.4.E Determine the surface area and volume of rectangular prisms using appropriate formulas and explain why the formulas work. SE: Covering and Surrounding (13-14 #22-24, 83 #27, 91) TG: Covering and Surrounding (34-35, 130, ) 5.2 (72-73), Investigation 5.3 (74-76), Investigation 5.4 (77, 82 #22-25) TG: Covering and Surrounding ( , , , 130) SE: Covering and Surrounding (51); How Likely Is It? (68); Filling and Wrapping Investigation 1 (5-13), (29 #25-27), Investigation 3.3 (35-36), (41) TG: Covering and Surrounding (86); How Likely Is It? (89); Filling and Wrapping (4-5, 13-30, 53-54, 65-68, 74) SE: Filling and Wrapping Investigation 1 (5-9), Investigation 2 (19-23); TG: Filling and Wrapping (4-6, 13-30, 36-50) 6.4.F Determine the surface area of a pyramid. SE: Covering and Surrounding (50 #34), Investigation 4.4 (58-59); Filling and Wrapping Investigation 4.2 (50-52), (55-56), (60 #35) TG: Covering and Surrounding (85, ); Filling and Wrapping (5, 83-86, 92, 94) 6.4.G Describe and sort polyhedra by their attributes: parallel faces, types of faces, number of faces, edges, and vertices Additional Key Content (Numbers, Operations) 6.5.A Use strategies for mental computations with non-negative whole numbers, fractions, and decimals. 6.5.B Locate positive and negative integers on the number line and use integers to represent quantities in various contexts. SE: Covering and Surrounding (51 #39); Filling and Wrapping Investigation (5-6), (60 #35), Investigation 3.1 (32-33) TG: Covering and Surrounding (86); Filling and Wrapping (4-5, 14-22, 57-60, 94) SE: Bits and Pieces II Investigation 1 (5-9), Investigation 3.3 (36-37); Bits and Pieces III Investigation 1.1 (5-7), Investigation 2.3 (24-25, 33 #51), Investigation 3.2 (38-39) TG: Bits and Pieces II (20-30, 71-72); Bits and Pieces III (16-17, 47-48, 59, 65-67) SE: Bits and Pieces III (19 #58); Accentuate the Negative Investigation 1.1 (5-9), Investigation 1.2 (10-11) TG: Bits and Pieces III (35); Accentuate the Negative (3-6, 15-16, 21-22) 6.5.C Compare and order positive and negative integers using the number line, lists, and the symbols <, >, or =. SE: Accentuate the Negative Investigation 1.1 (5-9), Investigation 1.2 (10-11) 4

5 TG: Accentuate the Negative (3-6, 15-16, 21-22) 6.6. Core Processes: Reasoning, problem solving, and communication 6.6.A Analyze a problem situation to determine the question(s) to be answered. 6.6.B Identify relevant, missing, and extraneous information related to the solution to a problem. 6.6.C Analyze and compare mathematical strategies for solving problems, and select and use one or more strategies to solve a problem. 6.6.D Represent a problem situation, describe the process used to solve the problem, and verify the reasonableness of the solution. 6.6.E Communicate the answer(s) to the question(s) in a problem using appropriate representations, including symbols and informal and formal mathematical language. 6.6.F Apply a previously used problem-solving strategy in a new context. 6.6.G Extract and organize mathematical information from symbols, diagrams, and graphs to make inferences, draw conclusions, and justify reasoning. SE: How Likely Is It? Investigation 3.2 (41-42); Variables and Patterns Investigation 2.1 (30-31) TG: How Likely Is It? (63-64); Variables and Patterns (45-47) SE: Bits and Pieces III Unit Project (74-75); Variables and Patterns Investigation 1.5 (14); Filling and Wrapping Investigation 1.4E (9), (15 #26) TG: Bits and Pieces III ( ); Variables and Patterns (33-34); Filling and Wrapping (27-30, 33) SE: Bits and Pieces II Investigation 2.1 (16-19); Bits and Pieces III Investigation 2.3 (24-25); Variables and Patterns (82 #1); Comparing and Scaling Investigation 2.1 (18-19) TG: Bits and Pieces II (35-40); Bits and Pieces III (47-48); Variables and Patterns (103); Comparing and Scaling (32-35) SE: Bits and Pieces I Investigation (8-11); Bits and Pieces II Investigation 4.3 (52-53, 63-64); Bits and Pieces III Investigation 5.2 (64); Comparing and Scaling Investigation 2.1 (18-19) TG: Bits and Pieces I (29-40); Bits and Pieces II ( , 118); Bits and Pieces III (105); Comparing and Scaling (32-35) SE: Bits and Pieces III (71 #31); Covering and Surrounding (Unit Project 89-90); Comparing and Scaling Investigation 1.3 (8-9, 16) TG: Bits and Pieces III (115); Covering and Surrounding ( ); Comparing and Scaling (23-24, 29-30) SE: Bits and Pieces III Unit Project (74-75); How Likely Is It? Investigation 4.2 (57-59): Variables and Patterns Investigation 3.2 (52-53) TG: Bits and Pieces III ( ); How Likely Is It? (79-80); Variables and Patterns (73-74) SE: How Likely Is It? (18 #27-30); Covering and Surrounding Investigation 2.1 (19-21); Variables and Patterns Investigation 2.1 (30-31); Comparing and Scaling (30) 5

6 6.6.H Make and test conjectures based on data (or information) collected from explorations and experiments. TG: How Likely Is It? (35); Covering and Surrounding (38-40); Variables and Patterns (45-47); Comparing and Scaling (50) 2.3 (24); Filling and Wrapping Investigation 2.2 (21-22) TG: Covering and Surrounding (47-48); Filling and Wrapping (43-46) Units Use: Grade 6: Bits and Pieces I, Bits and Pieces II, Bits and Pieces III, Covering and Surrounding, How Likely Is It? Grade 7: Variables and Patterns, Comparing and Scaling, Accentuate the Negative, Filling and Wrapping Note: The ACE (Application, Connection, Extension) problems at the end of each investigation and problems from Additional Practice and Skills Workbook are not cited in the document. These problems are the practice of the standards taught in the investigations as well as extension problems for advanced students. The Special Needs Handbook has modified problems to meet special individual needs. The Assessment Resource book contains quizzes, tests, and question banks for assessment use. 6

Prentice Hall Connected Mathematics 2, 7th Grade Units 2009 Correlated to: Minnesota K-12 Academic Standards in Mathematics, 9/2008 (Grade 7)

Prentice Hall Connected Mathematics 2, 7th Grade Units 2009 Correlated to: Minnesota K-12 Academic Standards in Mathematics, 9/2008 (Grade 7) 7.1.1.1 Know that every rational number can be written as the ratio of two integers or as a terminating or repeating decimal. Recognize that π is not rational, but that it can be approximated by rational