Grade 6 Math Curriculum Alignment with State Standards
NM Statute 22-13-1.6.A. Each school district shall align its curricula to meet the state standards for each grade level and subject area so that students who
transfer between public schools within the school district receive the same educational opportunity within the same grade or subject area.
District:
Textbook: Connected Math 2
Strand: NUMBER AND
OPERATIONS
Standard: Students will understand numerical
concepts and mathematical operations.
Grade 6 Performance Standards
6.N.1.1 Compare and order rational
numbers.
Grade 6 Textbook Pages
SE: Bits and Pieces I Investigation 2: Sharing and
Comparing With Fractions (23–24, ACE exercises),
Investigation 3: Moving Between Fractions and
Decimals (45–46, ACE exercises)
TG: Bits and Pieces I Investigation 2: Sharing and
Comparing With Fractions (57–62, 73–76),
Investigation 3: Moving Between Fractions and
Decimals (101– 111)
TR: Bits and Pieces I Transparencies 3.5A–B;
Labsheets 3.5; Notebook Check; Self–Assessment;
Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
6.N.1.2 Use equivalent
representations for rational numbers
(e.g., integers, decimals, fractions,
percents, ratios, numbers with
whole-number exponents).
SE: Bits and Pieces I Investigation 1: Fundraising Fractions
(6, ACE exercises), Investigation 3: Moving Between
Fractions and Decimals (36–42, ACE exercises) Bits and
Pieces III Investigation 3: The Decimal Divide (41– 42, ACE
exercises)
TG: Bits and Pieces I Investigation 1: Fundraising Fractions
(17–22, 41–43), Investigation 3: Moving Between Fractions
and Decimals (79–96, 107– 111) Bits and Pieces III
Investigation 3: The Decimal Divide (75–82)
TR: Bits and Pieces I Transparencies 1.1, 3.1A–C, 3.2A–E;
Labsheets 3.1, 3.2, 3.3; Notebook Check; Self–Assessment;
Spanish Assessment Resources Bits and Pieces III
Transparencies; Labsheets; Notebook Check; Self–
Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
5-8 Benchmark N.1: Understand numbers, ways of
representing numbers, relationships among numbers, and
number systems.
Supplemental Materials
Month(s) when Addressed
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 1
TECH = Technology
6.N.1.3 Use appropriate
representations of positive rational
numbers in the context of real-life
applications.
6.N.1.4 Identify greatest common
factor and least common multiples
for a set of whole numbers.
6.N.1.5 Identify and represent on a
number line decimals, fractions,
mixed numbers, and positive and
negative integers.
SE: Bits and Pieces I Investigation 1: The Decimal
Divide (6, ACE exercises)
TG: Bits and Pieces I Investigation 1: The Decimal
Divide (17–22, 41–43)
TR: Bits and Pieces I Transparencies 1.1; Labsheets;
Notebook Check; Self– Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Prime Time Investigation 3: Common Multiples
and Common Factors (37–41, ACE exercises),
Investigation 5: Putting It All Together (61–64, ACE
exercises), Looking Back and Looking Ahead (71–73)
TG: Prime Time Investigation 3: Common Multiples
and Common Factors (54–73), Investigation 5: Putting
It All Together (96–102), Looking Back and Looking
Ahead (102–104)
TR: Prime Time Transparencies 3.4, 5.1; Labsheets
5.1A–B; Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Bits and Pieces I Investigation 2: Sharing and
Comparing With Fractions (21–23, ACE exercises),
Looking Back and Looking Ahead (70)
TG: Bits and Pieces I Investigation 2: Sharing and
Comparing With Fractions (51–56, 73–76), Looking
Back and Looking Ahead (135–136)
TR: Bits and Pieces I Transparencies 2.2A–B;
Labsheets 2.2; Notebook Check; Self–Assessment;
Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 2
TECH = Technology
Grade 6 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: NUMBER AND
OPERATIONS
Standard: Students will understand numerical
concepts and mathematical operations.
5-8 Benchmark N.2: Understand the meaning of operations
and how they relate to one another.
Grade 6 Performance Standards
6.N.2.1 Calculate multiplication and
division problems using contextual
situations.
Grade 6 Textbook Pages
SE: Bits and Pieces II Investigation 3: Multiplying
With Fractions (35–37, ACE exercises), Investigation
4: Dividing With Fractions (50–53, ACE exercises),
Looking Back and Looking Ahead (63–64) Bits and
Pieces III Investigation 3: The Decimal Divide (36–37,
ACE exercises), Investigation 4: Using Percents (50–
54, ACE exercises), Investigation 5: More About
Percents (62–64, ACE exercises), Unit Project (74–75),
Looking Back and Looking Ahead (76–78)
TG: Bits and Pieces II Investigation 3: Multiplying
With Fractions (65–74, 85–88), Investigation 4:
Dividing With Fractions (97– 108, 115–118), Looking
Back and Looking Ahead (118–119) Bits and Pieces III
Investigation 3: The Decimal Divide (62–64, 79–82),
Investigation 4: Using Percents (84– 98), Investigation
5: More About Percents (101–108, 113–115), Unit
Project (117–119), Looking Back and Looking Ahead
Supplemental Materials
Month(s) when Addressed
(115–116)
TR: Bits and Pieces II Transparencies 3.2, 3.3;
Labsheets; Notebook Check; Self– Assessment;
Spanish Assessment Resources Bits and Pieces III
Transparencies 4.1A–B; Labsheets 4.1, 4.2A–B;
Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD– ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD– ROM; Teacher Express™ CD–ROM
6.N.2.2 Factor a whole number into
a product of its primes.
SE: Prime Time Investigation 4: Factorizations: Searching
for Factor Strings (50–55, ACE exercises) TG: Prime Time
Investigation 4: Factorizations: Searching for Factor Strings
(81–94)
TR: Prime Time Transparencies 4.2, 4.3; Labsheets;
Notebook Check; Self– Assessment; Spanish Assessment
Resources
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 3
TECH = Technology
6.N.2.3 Demonstrate the
relationship and equivalency among
ratios and percents.
TECH: Calculators; Student Activity CD– ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD– ROM; Teacher Express™ CD–ROM
SE: Bits and Pieces I Investigation 4: Working With
Percents (57–59, ACE exercises), Looking Back and
Looking Ahead (71)
TG: Bits and Pieces I Investigation 4: Working With
Percents (119–128, 133–135), Looking Back and
Looking Ahead (135–136)
TR: Bits and Pieces I Transparencies 4.3; Labsheets;
Notebook Check; Self– Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD– ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD– ROM; Teacher Express™ CD–ROM
6.N.2.4 Use proportions to solve
problems.
6.N.2.5 Explain and perform:
a. whole number division and
express remainders as decimals or
appropriately in the context of the
problem
b. addition, subtraction,
multiplication, and division with
decimals
c. addition and subtraction with
integers
d. addition, subtraction, and
multiplication with fractions and
mixed numerals
This standard is addressed in the
CMP2 Grade 7 Unit Comparing
and Scaling.
SE: Bits and Pieces II Investigation 2: Adding and
Subtracting Fractions (16–23, ACE exercises)
Investigation 3: Multiplying With Fractions (32– 39,
ACE exercises), Looking Back and Looking Ahead
(63–64) Bits and Pieces III Investigation 1: Decimals–
More or Less! (8–12, ACE exercises) Investigation 2:
Decimal Times (21– 24, 26–27, ACE exercises)
Investigation 3: The Decimal Divide (38–40, ACE
exercises)
TG: Bits and Pieces II Investigation 2: Adding and
Subtracting Fractions (35–58), Investigation 3:
Multiplying With Fractions (60–88), Looking Back and
Looking Ahead (118–119) Bits and Pieces III
Investigation 1: Decimals–More or Less! (21–35),
Investigation 2: Decimal Times (37–46, 51–59),
Investigation 3: The Decimal Divide (65–74, 79–82)
TR: Bits and Pieces II Transparencies 2.1, 2.2, 2.4A–B, 3.2,
3.3, 3.4, 3.5; Labsheets2.1, 2.2, 3.1 ; Notebook Check; Self–
Assessment; Spanish Assessment Resources Bits and Pieces
III Transparencies 1.2, 1.3, 2.1, 2.4, 3.2A–B, 3.3; Labsheets
2.4; Notebook Check; Self– Assessment; Spanish Assessment
Resources TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab Online
Courses (PHSchool.com/cmp2); ExamView® CD–ROM;
Teacher Express™ CD– ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 4
TECH = Technology
6.N.2.6 Determine the least
common multiple and the greatest
common divisor of whole numbers
and use them to solve problems
with fractions.
SE: Bits and Pieces III Investigation 3: The Decimal
Divide (38–39)
TG: Bits and Pieces III Investigation 3: The Decimal
Divide (65–67, 69–70, 79–80)
TR: Bits and Pieces III Transparency 3.2
TECH: PHSchool.com Web Code amk–5500;
LessonLab Online Courses (PHSchool.com/cmp2);
ExamView® CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 5
TECH = Technology
Grade 6 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: NUMBER AND
OPERATIONS
Standard: Students will understand numerical
concepts and mathematical operations.
Grade 6 Performance Standards
6.N.3.1 Estimate quantities
involving rational numbers using
various estimations.
Grade 6 Textbook Pages
SE: Bits and Pieces I Investigation 1: Fundraising
Fractions (10–11, ACE exercises), Investigation 4:
Working With Percents (56, ACE exercises), Looking
Back and Looking Ahead (69) Bits and Pieces II
Investigation 1: Estimating With Fractions (5–9, ACE
exercises) Bits and Pieces III Investigation 1–
Decimals–More or Less! (5–7, ACE exercises)
Investigation 2: Decimal Times (25, ACE exercises)
TG: Bits and Pieces I Investigation 1 (35–43),
Investigation 4: Working With Percents (113–118,
133–135), Looking Back and Looking Ahead (135–
136) Bits and Pieces II Investigation 1: Estimating
With Fractions (20–33) Bits and Pieces III
Investigation 1 (16–20, 33–35), Investigation 2:
Decimal Times (47–50, 57–59)
TR: Bits and Pieces I Transparencies 1.4, 4.1A–B;
Labsheets 1.4, 4.1; Notebook Check; Self– Assessment;
Spanish Assessment Resources Bits and Pieces II
Transparencies 1.1; Labsheets 1.1A–C; Notebook
Check; Self–Assessment; Spanish Assessment
Resources Bits and Pieces III Transparencies 1.1, 2.3;
Labsheets; Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD– ROM
SE = Student Edition
TG = Teacher’s Guide
5-8 Benchmark N.3: Compute fluently and make
reasonable estimates.
Supplemental Materials
TR = Teaching Resources
Page 6
Month(s) when Addressed
TECH = Technology
6.N.3.2 Use estimates to check
reasonableness of results and make
predictions in situations involving
rational numbers.
6.N.3.3 Determine if a problem
situation calls for an exact or
approximate answer and perform
the appropriate computation.
SE: Bits and Pieces II Investigation 1: Estimating
With Fractions (8–9, ACE exercises) Bits and Pieces
III Investigation 2: Decimal Times (22–23, ACE
exercises)
TG: Bits and Pieces II Investigation 1: Estimating
With Fractions (25–33) Bits and Pieces III
Investigation 2: Decimal Times (37–42, 57–59)
TR: Bits and Pieces II Transparencies; Labsheets;
Notebook Check; Self–Assessment; Spanish
Assessment Resources Bits and Pieces III
Transparencies 2.1; Labsheets; Notebook Check; Self–
Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD– ROM
SE: Bits and Pieces II Investigation 1: Estimating with
Fractions (9)
TG: Bits and Pieces II Investigation 1: Estimating with
Fractions (25–33)
TR: Bits and Pieces II Blank Transparencies;
Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD– ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 7
TECH = Technology
6.N.3.4 Compare and order positive
and negative fractions, decimals,
and mixed numbers and place them
on a number line.
6.N.3.5 Convert fractions to
decimals and percents and use
these representations in
estimations, computations, and
applications.
SE: Bits and Pieces I Investigation 2: Sharing and
Comparing With Fractions (24–25, 29–30, 32–33);
Investigation 3: Moving Between Fractions and
Decimals (48–50, 52); Bits and Pieces II Investigation
1: Estimating With Fractions (12); Investigation 2:
Adding and Subtracting Fractions (30); Investigation 4:
Dividing With Fractions (59); Bits and Pieces III
Investigation 3: The Decimal Divide (45, 47);
Investigation 4: Using Percents (59)
TG: Bits and Pieces I Investigation 2: Sharing and
Comparing with Fractions (61–62, 67–69, 71–72; 74–
76); Investigation 3: Moving Between Fractions and
Decimals (108–109); Bits and Pieces II Investigation 1:
Estimating With Fractions (32); Investigation 2:
Adding and Subtracting Fractions (57); Investigation 4:
Dividing With Fractions (117); Bits and Pieces III
Investigation 3: The Decimal Divide (81); Investigation
4: Using Percents (98)
TR: Bits and Pieces I Labsheet 2.5; Transparency 2.5;
Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Bits and Pieces I Investigation 4: Working With
Percents (59–60, ACE exercises) Bits and Pieces III
Investigation 3: The Decimal Divide (41– 42, ACE
exercises)
TG: Bits and Pieces I Investigation 4: Working With
Percents (129–135) Bits and Pieces III Investigation 3:
The Decimal Divide (75–82)
TR: Bits and Pieces I Transparencies 4.4; Labsheets
4.4; Notebook Check; Self– Assessment; Spanish
Assessment Resources Bits and Pieces III
Transparencies; Labsheets; Notebook Check; Self–
Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 8
TECH = Technology
6.N.3.6 Interpret and use ratios in
different contexts.
SE: Bits and Pieces I Investigation 3: Moving Between
Fractions and Decimals (44, ACE exercises) TG: Bits
and Pieces I Investigation 3: Moving Between
Fractions and Decimals (97–100, 107–111) TR: Bits
and Pieces I Transparencies; Labsheets; Notebook
Check; Self– Assessment; Spanish Assessment
Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
6.N.3.7 Compute and perform
multiplication and division of
fractions and decimals and apply
these procedures to solving
problems.
SE: Bits and Pieces II Investigation 3: Multiplying With
Fractions (32–39, ACE exercises), Investigation 4: Dividing
With Fractions (48–54), Looking Back and Looking Ahead
(63–64) Bits and Pieces III Investigation 2: Decimal Times
(21– 24, ACE exercises) Investigation 3: The Decimal Divide
(36–37, ACE exercises)
TG: Bits and Pieces II Investigation 3: Multiplying With
Fractions (60–88), Investigation 4: Dividing With Fractions
(92–118), Looking Back and Looking Ahead (118–119) Bits
and Pieces III Investigation 2: Decimal Times (37–46, 57–
59), Investigation 3: The Decimal Divide (62–64, 79–82)
TR: Bits and Pieces II Transparencies 3.2, 3.3, 3.4, 3.5, 4.1,
4.4; Labsheets 3.1; Notebook Check; Self–Assessment;
Spanish Assessment Resources Bits and Pieces III
Transparencies 2.1; Labsheets; Notebook Check; Self–
Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab Online
Courses (PHSchool.com/cmp2); ExamView® CD–ROM;
Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 9
TECH = Technology
Grade 6 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: ALGEBRA
Standard: Students will understand algebraic
concepts and applications.
Grade 6 Performance Standards
6.A.1.1 Solve problems involving
proportional relationships.
Grade 6 Textbook Pages
6.A.1.2 Graph ordered pairs in the
coordinate plane.
SE: Data About Us Investigation 2: Using Graphs to
Explore Data (37)
TG: Data About Us Investigation 2: Using Graphs to
Explore Data (57–59, 61–62)
TR: Data About Us Transparencies 2.3A, 2.3B;
Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD– ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD– ROM; Teacher Express™ CD–ROM
SE: Bits and Pieces II Investigation 2: Adding and
Subtracting Fractions (21–22, 26); Covering and
Surrounding Investigation 1: Designing Bumper Cars
(9); Investigation 4: Measuring Parallelograms (56);
Bits and Pieces III Investigation 1: Decimals–More or
Less! (12, 15–17); Investigation 2: Decimal Times
(25); Investigation 3: The Decimal Divide (44)
6.A.1.3 Explain and use symbols to
represent unknown quantities and
variable relationships.
5-8 Benchmark A.1: Understand patterns, relations, and
functions.
Supplemental Materials
This standard is addressed in the
CMP2 Grade 7 Unit Comparing
and Scaling.
Month(s) when Addressed
TG: Bits and Pieces II Investigation 2: Adding and
Subtracting Fractions (47–50, 56); Covering and Surrounding
Investigation 1: Designing Bumper Cars (29, 32);
Investigation 4: Measuring Parallelograms (94, 96); Bits and
Pieces III Investigation 1: Decimals–More or Less! (29, 32–
34); Investigation 2: Decimal Times (50); Investigation 3:
The Decimal Divide (80) TR: All: Notebook Check; Self–
Assessment; Spanish Assessment Resources; Covering and
Surrounding Transparency 1.3C
TECH: Calculators; Student Activity CD– ROM;
PHSchool.com Web Code amk–5500; LessonLab Online
Courses (PHSchool.com/cmp2); ExamView® CD– ROM;
Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 10
TECH = Technology
6.A.1.4 Explain and use the
relationships among ratios,
proportions, and percents.
SE: Bits and Pieces I Investigation 4: Working with
Percents (59–65, 68)
TG: Bits and Pieces I Investigation 4: Working with
Percents (129–135)
TR: Bits and Pieces I Transparency 4.4; Labsheet 4.4;
Notebook Check; Self– Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD– ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD– ROM; Teacher Express™ CD–ROM
6.A.1.5 Make generalizations
based on observed patterns and
relationships.
SE: Bits and Pieces I Investigation 3: Moving Between
Fractions and Decimals (49); Shapes and Designs
Investigation 2: Polygons and Angles (46, 53), Investigation
3: Polygon Properties and Tiling (54–55, 57, 67–68);
Investigation 4: Building Polygons (71); Bits and Pieces II
Investigation 3: Multiplying With Fractions (39, 40, 42);
Covering and Surrounding Investigation 2: Changing Area,
Changing Perimeter (20–21, 24); Investigation 3: Measuring
Triangles (38–39); Investigation 5: Measuring Irregular
Shapes and Circles (73–74, 77); Bits and Pieces III
Investigation 2: Decimal Times (26–27)
TG: Bits and Pieces I Investigation 3: Moving Between
Fractions and Decimals (109); Shapes and Designs
Investigation 2: Polygons and Angles (58, 61), Investigation
3: Polygon Properties and Tiling (63–66, 68–70, 80–81);
Investigation 4: Building Polygons (83–86); Bits and Pieces
II Investigation 3: Multiplying With Fractions (81–84, 86–
87); Covering and Surrounding Investigation 2: Changing
Area, Changing Perimeter (38–42, 47–50); Investigation 3:
Measuring Triangles (64, 67–68); Investigation 5: Measuring
Irregular Shapes and Circles (115–118); Bits and Pieces III
Investigation 2: Decimal Times (51–53, 55– 56)
TR: All: Notebook Check; Self– Assessment; Spanish
Assessment Resources; Shapes and Designs Transparencies
1.1E, 3.1A, 3.1B, 3.2; Labsheet 3.2, 4.1A, 4.1B; Bits and
Pieces II Transparency 3.5; Covering and Surrounding
Transparencies 2.1A, 2.1B, 2.3A, 2.3B, 3.1C, 3.1D, 5.2A,
5.2B; Labsheet 2.1, 2.3; Bits and Pieces III Transparency 2.4,
Labsheet 2.4
TECH: Calculators; Student Activity CD– ROM;
PHSchool.com Web Code amk–5500; LessonLab Online
Courses (PHSchool.com/cmp2); ExamView® CD– ROM;
Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 11
TECH = Technology
Grade 6 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: ALGEBRA
Standard: Students will understand algebraic
concepts and applications.
Grade 6 Performance Standards
6.A.2.1 Solve problems involving
proportional relationships.
Grade 6 Textbook Pages
6.A.2.2 Use letters to represent an
unknown in an equation.
SE: Bits and Pieces II Investigation 2: Adding and
Subtracting Fractions (21– 22, 26); Covering and
Surrounding Investigation 1: Designing Bumper Cars
(9); Investigation 4: Measuring Parallelograms (56);
Bits and Pieces III Investigation 1: Decimals–More or
Less! (12, 15); Investigation 2: Decimal Times (25);
Investigation 3: The Decimal Divide (44)
TG: Bits and Pieces II Investigation 2: Adding and
Subtracting Fractions (47– 50, 56); Covering and
Surrounding Investigation 1: Designing Bumper Cars
(29, 32); Investigation 4: Measuring Parallelograms
(94, 96); Bits and Pieces III Investigation 1: Decimals–
More or Less! (29, 32–34)
TR: All: Notebook Check; Self– Assessment; Spanish
Assessment Resources; Covering and Surrounding
Transparency 1.3C
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
Supplemental Materials
This standard is addressed in the
CMP2 Grade 7 Unit Comparing
and Scaling”
6.A.2.3 Solve one-step linear
equations and inequalities in one
variable with positive whole-number
solutions.
SE = Student Edition
5-8 Benchmark A.2: Represent and analyze mathematical
situations and structures using algebraic symbols.
Month(s) when Addressed
This standard is addressed in the
CMP2 Grade 8 Unit, Say It With
Symbols.
TG = Teacher’s Guide
TR = Teaching Resources
Page 12
TECH = Technology
6.A.2.4 Demonstrate that a variable
can represent a single quantity that
changes.
6.A.2.5 Demonstrate how changes
in one variable affect other
variables.
SE: Covering and Surrounding Investigation 1:
Designing Bumper Cars (9); Investigation 4:
Measuring Parallelograms (56)
TG: Covering and Surrounding Investigation 1:
Designing Bumper Cars (28–29, 31–32); Investigation
4: Measuring Parallelograms (94, 96)
TR: Covering and Surrounding Transparency 1.3C,
Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Covering and Surrounding Investigation 4:
Measuring Parallelograms (57)
TG: Covering and Surrounding Investigation 4:
Measuring Parallelograms (28–29, 31–32)
TR: Covering and Surrounding Transparency 1.3C,
Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 13
TECH = Technology
Grade 6 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: ALGEBRA
Standard: Students will understand algebraic
concepts and applications.
5-8 Benchmark A.3: Use mathematical models to represent
and understand quantitative relationships.
Grade 6 Performance Standards
6.A.3.1 Develop and use
mathematical models to represent
and justify mathematical
relationships found in a variety of
situations.
Grade 6 Textbook Pages
SE: Data About Us Investigation 1: Looking at Data
(8, 10–11, 16–20, ACE exercises); Investigation 2:
Using Graphs to Explore Data (32–35, 37–39, ACE
exercises); Investigation 3: What Do We Mean by
Mean? (53, 60); Looking Back and Looking Ahead
(66–67)
TG: Data About Us Investigation 1: Looking at Data
(17–20, 21–23, 25–26, 31–34, 35–36, 41–45);
Investigation 2: Using Graphs to Explore Data (47–49,
51–52, 57–59, 61–62, 67–72); Investigation 3: What
Do We Mean by Mean? (81–86, 92); Looking Back
and Looking Ahead (94–95)
TR: Data About Us Transparencies 1.1A, 1.1B, 1.2A,
1.2B, 1.4A–C, 2.1A–C, 2.3A, 2.3B, 3.2A, 3.2B;
Notebook Check; Self– Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Prime Time Investigation 2: Whole– Number
Patterns and Relationships (26– 29, ACE exercises)
TG: Prime Time Investigation 2: Whole–Number
Patterns and Relationships (45–51)
TR: Prime Time Transparencies 2.3A–C; Labsheets
2.3A–B; Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
Supplemental Materials
6.A.3.2 Create, explain, and use
mathematical models such as:
a. Venn diagrams to show the
relationships between the
characteristics of two or more sets
b. equations and inequalities to
model numerical relationships
c. three-dimensional geometric
models
d. graphs, tables, and charts to
interpret and analyze data
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 14
Month(s) when Addressed
TECH = Technology
Grade 6 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: ALGEBRA
Standard: Students will understand algebraic
concepts and applications.
5-8 Benchmark A.4: Analyze changes in various contexts.
Grade 6 Performance Standards
6.A.4.1 Represent and explain
changes using one-step equations
with one variable.
Grade 6 Textbook Pages
Supplemental Materials
This standard is addressed in the
CMP2 Grade 8 Unit, Thinking
With Mathematical Models.
6.A.4.2 Solve problems that involve
change using proportional
relationships.
6.A.4.3 Use ratios to predict
changes in proportional situations.
6.A.4.4 Use tables and symbols to
represent and describe proportional
and other relationships involving
conversions, sequences, and
perimeter.
6.A.4.5 Generate formulas to
represent relationships involving
changes in perimeter.
Month(s) when Addressed
This standard is addressed in the
CMP2 Grade 7 Unit, Comparing
and Scaling.
This standard is addressed in the
CMP2 Grade 7 Unit, Comparing
and Scaling.
SE: Covering and Surrounding Investigation 2:
Changing Area, Changing Perimeter (20–21, 24, ACE
exercises)
TG: Covering and Surrounding Investigation 2:
Changing Area, Changing Perimeter (38–42, 47–50,
55– 59)
TR: Covering and Surrounding Transparencies 2.1A,
2.1B, 2.3A, 2.3B; Labsheet 2.1, 2.3; Notebook Check;
Self– Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Covering and Surrounding Investigation 2:
Changing Area, Changing Perimeter (20–21, ACE
exercises)
TG: Covering and Surrounding Investigation 2:
Changing Area, Changing Perimeter (38–42, 55– 59)
TR: Covering and Surrounding Transparencies 2.1A, 2.1B;
Labsheet 2.1; Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab Online
Courses (PHSchool.com/cmp2); ExamView® CD–ROM;
Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 15
TECH = Technology
Grade 6 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: GEOMETRY
Standard: Students will understand geometric
concepts and applications.
Grade 6 Performance Standards
6.G.1.1 Identify, describe, and
classify the properties of, and the
relationships between, plane and
solid geometric figures:
a. measure, identify, and draw
angles, perpendicular and parallel
lines, rectangles, and triangles by
using appropriate tools (e.g.,
straightedge, ruler, compass,
protractor, drawing software)
b. understand that the sum of
angles of any triangle is 180
degrees and the sum of the angles
of any quadrilateral is 360 degrees
and use this information to solve
problem
c. visualize and draw twodimensional views of threedimensional objects made from
rectangular solids
6.G.1.2 Classify angles as right,
obtuse, or straight.
Grade 6 Textbook Pages
SE: Shapes and Designs Investigation 2: Polygons and
Angles (32–35, 38–39, ACE exercises), Investigation 3:
Polygon Properties and Tiling (54–61), Investigation 4:
Building Polygons (71– 72), Looking Back and
Looking Ahead (83–86)
TG: Shapes and Designs Investigation 2: Polygons
and Angles (45–48, 53–61), Investigation 3: Polygon
Properties and Tiling (63–81), Investigation 4: Building
Polygons (83–90, 95–97), Looking Back and Looking
Ahead (97–98)
TR: Shapes and Designs Transparencies 2.3, 2.5A–
B3.1A–B, 3.2; Labsheets 2.5, 3.2, 4.1, 4.2; Notebook
Check; Self– Assessment; Spanish Assessment
Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
5-8 Benchmark G.1: Analyze characteristics and properties
of two- and three-dimensional geometric shapes and
develop mathematics arguments about geometric
relationships.
Supplemental Materials
Month(s) when Addressed
SE: Shapes and Designs ACE exercises (42)
TG: Shapes and Designs ACE exercises (57–58)
TR: Shapes and Designs Transparencies; Labsheets;
Notebook Check; Self– Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 16
TECH = Technology
6.G.1.3 Describe the properties of
geometric figures that include
regular polygons, circles, ellipses,
cylinders, cones, spheres, and
cubes.
6.G.1.4 Classify polygons as
regular or irregular.
6.G.1.5 Classify triangles as
scalene, isosceles, or equilateral
and by angles (i.e., right, acute, and
obtuse).
6.G.1.6 Identify angle, line,
segment, and ray and use the
symbols for each.
SE: Shapes and Designs Mathematical Reflections
(23)
TG: Shapes and Designs Mathematical Reflections
(34)
TR: Shapes and Designs Transparencies; Labsheets;
Notebook Check; Self– Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Shapes and Designs Investigation 1: Bees and
Polygons (7–11, 14–15, ACE exercises)
TG: Shapes and Designs Investigation 1: Bees and
Polygons (18–22, 27–33)
TR: Shapes and Designs Transparencies 1.1A–E;
Labsheets; Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Shapes and Designs Investigation 1: Bees and
Polygons (11, ACE exercises)
TG: Shapes and Designs Investigation 1: Bees and
Polygons (18–22, 31–34)
TR: Shapes and Designs Transparencies; Labsheets;
Notebook Check; Self– Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Shapes and Designs Investigation 2: Polygons and
Angles (24–29, ACE exercises)
TG: Shapes and Designs Investigation 2: Polygons
and Angles (36–40, 57–61)
TR: Shapes and Designs Transparencies 2.1;
Labsheets; Notebook Check; Self– Assessment;
Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 17
TECH = Technology
6.G.1.7 Describe the relationship
between radius, diameter, and
circumference of a circle.
SE: Covering and Surrounding Investigation 5:
Measuring Irregular Shapes and Circles (72–73, ACE
exercises)
TG: Covering and Surrounding Investigation 5:
Measuring Irregular Shapes and Circles (115–118,
129–132)
TR: Covering and Surrounding Transparencies 5.2A–
B; Labsheets; Notebook Check; Self–Assessment;
Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 18
TECH = Technology
Grade 6 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: GEOMETRY
Standard: Students will understand geometric
concepts and applications.
Grade 6 Performance
Standards
6.G.2.1 Use coordinate geometry
to describe location on a plane.
Grade 6 Textbook Pages
SE: Shapes and Designs Investigation 2: Polygons
and Angles (29, 50)
TG: Shapes and Designs Investigation 2: Polygons
and Angles (41–44, 60)
TR: Shapes and Designs Transparency 2.2A;
Labsheet 2.2; Notebook Check; Self–Assessment;
Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2);
ExamView® CD–ROM; Teacher Express™ CD–
ROM
6.G.2.2 Recognize skewed lines
in space.
SE = Student Edition
5-8 Benchmark G.2: Specify locations and describe spatial
relationships using coordinate geometry and other
representational systems.
Supplemental Materials
http://www.newton.dep.anl.gov/askasc
i/math99/math99236.htm
TG = Teacher’s Guide
TR = Teaching Resources
Page 19
TECH = Technology
Month(s) when
Addressed
Grade 6 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: GEOMETRY
Standard: Students will understand geometric
concepts and applications.
Grade 6 Performance Standards
6.G.3.1 Identify line of symmetry
with rotation and scaling.
Grade 6 Textbook Pages
SE: Shapes and Designs Investigation 1: Bees and
Polygons (12–13, ACE exercises)
TG: Shapes and Designs Investigation 1: Bees and
Polygons (23–26, 31–34)
TR: Shapes and Designs Transparencies 1.2A–C;
Labsheets; Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
5-8 Benchmark G.3: Apply transformations and use
symmetry to analyze mathematical situations.
Supplemental Materials
TR = Teaching Resources
Page 20
Month(s) when Addressed
TECH = Technology
Grade 6 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: GEOMETRY
Standard: Students will understand geometric
concepts and applications.
Grade 6 Performance Standards
6.G.4.1 Use appropriate
technology, manipulatives,
constructions, or drawings to
recognize or compare geometric
figures.
Grade 6 Textbook Pages
SE: Shapes and Designs Investigation 4: Building
Polygons (74–75)
TG: Shapes and Designs Investigation 4: Building
Polygons (91–97)
TR: Shapes and Designs Transparencies; Labsheets
4.3; Notebook Check; Self– Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
5-8 Benchmark G.4: Use visualization, spatial reasoning,
and geometric modeling to solve problems.
Supplemental Materials
TR = Teaching Resources
Page 21
Month(s) when Addressed
TECH = Technology
Grade 6 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: MEASUREMENT
Standard: Students will understand measurement
systems and applications.
Grade 6 Performance Standards
6.M.1.1 Perform multi-step
conversions of measurement units
to equivalent units within a given
system (e.g., 36 inches equals 3
feet or 1 yard).
6.M.1.2 Estimate measurement in
both U.S. customary and metric
units.
6.M.1.3 Select and use units of
appropriate size and type to
measure angles (e.g., degrees,
radians), perimeter, area, and
capacity in both U.S. customary and
metric systems.
Grade 6 Textbook Pages
SE: Covering and Surrounding Investigation 1:
Designing Bumper Cars (15–17)
TG: Covering and Surrounding Investigation 1:
Designing Bumper Cars (35–36)
TR: Covering and Surrounding Notebook Check; Self–
Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Covering and Surrounding Investigation 5:
Measuring Irregular Shapes and Circles (71, 78–79)
TG: Covering and Surrounding Investigation 5:
Measuring Irregular Shapes and Circles (110–114, 129)
TR: Covering and Surrounding Transparency 5.1;
Labsheet 5.1; Notebook Check; Self–Assessment;
Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Shapes and Designs Investigation 2: Polygons and
Angles (33–35, 37 ACE exercises); Covering and
Surrounding Investigation 1: Designing Bumper Cars
(7–9, ACE exercises); Investigation 2: Changing Area,
Changing Perimeter (20–21, 24, ACE exercises);
Investigation 3: Measuring Triangles (37–39, 41–43,
ACE exercises); Investigation 4: Measuring
Parallelograms (54–59, ACE exercises)
SE = Student Edition
TG = Teacher’s Guide
5-8 Benchmark M.1: Understand measurable attributes of
objects and the units, systems, and processes of
measurement.
Supplemental Materials
TR = Teaching Resources
Page 22
Month(s) when Addressed
TECH = Technology
6.M.1.4 Use standard units of linear
measurement to the nearest
sixteenth of an inch; metric
measurements to the nearest
millimeter.
TG: Shapes and Designs Investigation 2: Polygons
and Angles (45–52, 57–61); Covering and Surrounding
Investigation 1: Designing Bumper Cars (23–26, 33–
36); Investigation 2: Changing Area, Changing
Perimeter (38–42, 47–50, 55– 59); Investigation 3:
Measuring Triangles (61–71, 73–74, 83–86);
Investigation 4: Measuring Parallelograms (88–108)
TR: All: Notebook Check; Self– Assessment; Spanish
Assessment Resources; Shapes and Designs
Transparencies 1.1E, 2.3, 2.4; Labsheet 2.4; Covering
and Surrounding Transparencies 1.2, 2.1A, 2.1B, 2.3A,
2.3B, 3.1A, 3.1B, 3.1C, 4.1A, 4.1B, 4.2A, 4.2B, 4.4A,
4.4B; Labsheets 1.2, 2.1, 2.3, 3.1, 4.1, 4.2A, 4.2B
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 23
TECH = Technology
Grade 6 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: MEASUREMENT
Standard: Students will understand measurement
systems and applications.
Grade 6 Performance Standards
6.M.2.1 Apply various
measurement techniques and tools,
units of measure, and degrees of
accuracy to find accurate rational
number representations for length,
liquid, weight, perimeter,
temperature, and time.
Grade 6 Textbook Pages
SE: Covering and Surrounding Investigation 1:
Designing Bumper Cars (8–9, ACE exercises),
Investigation 2: Changing Area, Changing Perimeter
(22–23, ACE exercises), Investigation 3: Measuring
Triangles (37–43, ACE Exercises)
TG: Covering and Surrounding Investigation 1:
Designing Bumper Cars (27–36), Investigation 2:
Changing Area, Changing Perimeter (43–46, 55–59),
Investigation 3: Measuring Triangles (61–71, 73–74,
83–86)
TR: Covering and Surrounding Transparencies 1.3A–
C, 2.2, 3.1A–D, 3.2A, 3.2B, 3.3; Labsheets 1.3, 3.1,
3.2A, 3.2B; Notebook Check; Self–Assessment;
Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Covering and Surrounding Investigation 1:
Designing Bumper Cars (8–9, ACE exercises)
TG: Covering and Surrounding Investigation 1:
Designing Bumper Cars (27–36)
TR: Covering and Surrounding Transparencies 1.3A–
C; Labsheets 1.3; Notebook Check; Self–Assessment;
Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
6.M.2.2 Select and use formulas for
perimeters of squares and
rectangles.
SE = Student Edition
TG = Teacher’s Guide
5-8 Benchmark M.2: Apply appropriate techniques, tools,
and formulas to determine measurements.
Supplemental Materials
TR = Teaching Resources
Page 24
Month(s) when Addressed
TECH = Technology
6.M.2.3 Select and use strategies
to estimate measurements including
angle measure and capacity.
6.M.2.4 Select and justify the
selection of measurement tools,
units of measure, and degrees of
accuracy appropriate to the given
situation.
SE: Shapes and Designs ACE exercises (41–45) Covering
and Surrounding Investigation 2: Changing Area, Changing
Perimeter (22–23, ACE exercises), Investigation 5:
Measuring Irregular Shapes and Circles (70–71, ACE
exercises)
TG: Shapes and Designs ACE exercises (57–58)
Covering and Surrounding Investigation 2: Changing
Area, Changing Perimeter (43–46, 55–59),
Investigation 5: Measuring Irregular Shapes and Circles
(110–114, 129–132)
TR: Shapes and Designs Transparencies; Labsheets;
Notebook Check; Self– Assessment; Spanish
Assessment Resources Covering and Surrounding
Transparencies 2.2, 5.1; Labsheets 5.1; Notebook
Check; Self–Assessment; Spanish Assessment
Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Shapes and Designs Investigation 2: Polygons and
Angles (36–37, ACE exercises)
TG: Shapes and Designs Investigation 2: Polygons
and Angles (49–52, 57–61)
TR: Shapes and Designs Transparencies 2.4; Labsheets
2.4; Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 25
TECH = Technology
Grade 6 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: DATA ANALYSIS AND
PROBABILITY
Standard: Students will understand how to
formulate questions, analyze data, and determine
probabilities.
Grade 6 Performance Standards
6.D.1.1 Use statistical
representations to analyze data.
Grade 6 Textbook Pages
SE: Data About Us Investigation 1: Looking at Data
(7–9, 14–20, ACE exercises), Investigation 2: Using
Graphs to Explore Data (30–35, 38–39, ACE exercises)
TG: Data About Us Investigation 1: Looking at Data
(17–20, 31–45), Investigation 2: Using Graphs to
Explore Data (47–56, 63–71)
TR: Data About Us Transparencies 1.1A–B1.4A–C,
1.5A–B, 2.1A–C, 2.2, 2.4; Labsheets 2.4; Notebook
Check; Self–Assessment; Spanish Assessment
Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Data About Us Investigation 1: Looking at Data
(18–20, ACE exercises)
TG: Data About Us Investigation 1: Looking at Data
(37–44)
TR: Data About Us Transparencies 1.5A–B;
Labsheets; Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
6.D.1.2 Draw and compare different
graphical representations of the
same data.
SE = Student Edition
TG = Teacher’s Guide
5-8 Benchmark D.1: Formulate questions that can be
addressed with data and collect, organize, and display
relevant data to answer them.
Supplemental Materials
TR = Teaching Resources
Page 26
Month(s) when Addressed
TECH = Technology
6.D.1.3 Use mean, median, mode,
and range to describe data.
6.D.1.4 Sketch circle graphs to
display data.
6.D.1.5 Solve problems by
collecting, organizing, displaying
and interpreting data.
SE: Data About Us Investigation 1: Looking at Data
(18–20, ACE exercises), Investigation 3: What Do We
Mean by Mean? (50–53, ACE exercises), Looking
Back and Looking Ahead (65–67)
TG: Data About Us Investigation 1: Looking at Data
(21–26, 41–45), Investigation 3: What Do We Mean by
Mean? (74–86, 91–93), Looking Back and Looking
Ahead (94–95)
TR: Data About Us Transparencies 1.2A–B, 3.1A–B,
3.2A–B; Labsheets; Notebook Check; Self–
Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Bits and Pieces III Investigation 5: More About
Percents (65–66, ACE exercises)
TG: Bits and Pieces III Investigation 5: More About
Percents (109–115)
TR: Bits and Pieces III Transparencies 5.3; Labsheets
5.3; Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Data About Us Investigation 2: Using Graphs to
Explore Data (36–38, ACE exercises)
TG: Data About Us Investigation 2: Using Graphs to
Explore Data (57–62, 67–71)
TR: Data About Us Transparencies 2.3A–B;
Labsheets; Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
6.D.1.6 Compare different samples
of a population with the entire
population and determine the
appropriateness of using a sample.
SE = Student Edition
This standard is addressed in the
CMP2 Grade 8 Unit, Samples and
Populations.
TG = Teacher’s Guide
TR = Teaching Resources
Page 27
TECH = Technology
6.D.1.7 Conduct and explain
sampling techniques such as
observations, surveys, and random
sampling for gathering data.
6.D.1.8 Determine the median for a
rational number data set containing
an odd number of data points.
6.D.1.9 Calculate and explain the
median for a whole number data set
containing an even number of data
points.
6.D.1.10 Explain advantages and
disadvantages of using various
display formats for a specific data
set.
This standard is addressed in the
CMP2 Grade 8 Unit, Samples and
Populations.
SE: Data About Us Investigation 1: Looking at Data
(9–13, ACE exercises)
TG: Data About Us Investigation 1: Looking at Data
(21–30, 41–45)
TR: Data About Us Transparencies 1.2A–B, 1.3;
Labsheets; Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Data About Us Investigation 1: Looking at Data
(12–13, ACE exercises)
TG: Data About Us Investigation 1: Looking at Data
(27–30, 41–45)
TR: Data About Us Transparencies 1.3; Labsheets;
Notebook Check; Self– Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE: Data About Us Investigation 1: Looking at Data
(29); Investigation 2: Using Graphs to Explore Data
(43, 48)
TG: Data About Us Investigation 1: Looking at Data
(45); Investigation 2: Using Graphs to Explore Data
(69, 71– 72)
TR: Data About Us Notebook Check; Self–
Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 28
TECH = Technology
6.D.1.11 Formulate and solve
problems by collecting, organizing,
displaying, and interpreting data.
SE: Data About Us Investigation 1: Looking at Data
(7–13, 15–20, ACE exercises); Investigation 2: Using
Graphs to Explore Data (30–31, 33–34, 36–39, ACE
exercises); Investigation 3: What Do We Mean by
Mean? (51–55, ACE exercises)
TG: Data About Us Investigation 1: Looking at Data
(17–30); Investigation 2: Using Graphs to Explore Data
(47–72); Investigation 3: What Do We Mean by Mean?
(74–95)
TR: Data About Us Transparencies 1.1A, 1.1B, 1.2A,
1.2B, 1.3, 2.1A–C, 2.2, 2.3A–B, 2.4, 3.1A–B, 3.2A–B,
3.3A–B; Labsheets 2.4; Notebook Check; Self–
Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 29
TECH = Technology
Grade 6 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: DATA ANALYSIS AND
PROBABILITY
Standard: Students will understand how to
formulate questions, analyze data, and
determine probabilities.
Grade 6 Performance Standards
6.D.2.1 Choose an appropriate
graphical format to organize and
represent data.
Grade 6 Textbook Pages
SE: Data About Us Looking Back and Looking
Ahead (65–67)
TG: Data About Us Looking Back and Looking
Ahead (94–95)
TR: Data About Us Transparencies; Labsheets;
Notebook Check; Self– Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
Supplemental Materials
Month(s) when
Addressed
balancedassessment.concord.org/
Above Average
Grading the Graphics
6.D.2.2 Describe the effects of
missing or incorrect data.
6.D.2.3 Compute and analyze
statistical measurements for data
sets:
a. understand how additional data
added to data sets may affect the
computations of central tendency
b. understand how the inclusion or
exclusion of outliers affects
measures of central tendency
c. know why a specific measure of
central tendency provides the
most useful information in a given
context
5-8 Benchmark D.2: Select and use appropriate statistical
methods to analyze data.
SE: Data About Us Investigation 1: Looking at Data
(12–13, ACE exercises), Investigation 3: What Do
We Mean by Mean? (54–55, ACE exercises),
Looking Back and Looking Ahead (65–67)
TG: Data About Us Investigation 1: Looking at Data
(27–30, 41–45), Investigation 3: What Do We Mean
by Mean? (87–93), Looking Back and Looking
Ahead (94–95)
TR: Data About Us Transparencies 1.3, 3.3A–B;
Labsheets; Notebook Check; Self–Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab Online
Courses (PHSchool.com/cmp2); ExamView® CD–ROM;
Teacher Express™ CD–ROM
6.D.2.4 Use data samples of a
population and describe the
characteristics and limitations of
the sample.
SE = Student Edition
This standard is addressed in the CMP2
Grade 8 Unit, Samples and
Populations.
TG = Teacher’s Guide
TR = Teaching Resources
Page 30
TECH = Technology
6.D.2.5 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.
6.D.2.6 Explain how the way a
question is asked in a survey
might influence the results
obtained.
6.D.2.7 Identify data that
represent sampling errors and
explain why the sample and the
display might be biased.
6.D.2.8 Identify claims based on
statistical data and, in sample
cases, evaluate the validity and
usefulness of the claims.
SE = Student Edition
This standard is addressed in the CMP2
Grade 8 Unit, Samples and
Populations”.
http://www.statpac.com/surveys/
sampling.htm
http://score.kings.k12.ca.us/lessons/
score.html
http://www.ctap4.org/math
/matrix/gr6.shtml SDP 2.3
http://www.ctap4.org/math
/matrix/gr6.shtml SDP 2.4
http://mathforum.org/workshops
/usi/dataproject/usi.midstds.html
http://score.kings.k12.ca.us/
lessons/lhstate.html
TG = Teacher’s Guide
TR = Teaching Resources
Page 31
TECH = Technology
Grade 6 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: DATA ANALYSIS AND
PROBABILITY
Standard: Students will understand how to
formulate questions, analyze data, and determine
probabilities.
Grade 6 Performance Standards
6.D.3.1 Identify claims based on
statistical data and evaluate the
validity of the claim
6.D.3.2 Conduct observations,
surveys, experiments and/or
simulations, record the results in
charts, tables, or graphs, and use
the results to draw conclusions and
make predictions.
Grade 6 Textbook Pages
Supplemental Materials
balancedassessment.concord.or
g/
Grading the Graphics
Month(s) when Addressed
SE: How Likely Is It? Investigation 1: A First Look at
Chance (8–10, ACE exercises)
TG: How Likely Is It? Investigation 1: A First Look at
Chance (25–28, 33–35)
TR: How Likely Is It? Labsheets; Notebook Check;
Self–Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
6.D.3.3 Find all possible
combinations in a given set (e.g.,
the number of ways a set of books
can be arranged on a shelf).
6.D.3.4 Compare expected results
with actual results in a simple
experiment.
5-8 Benchmark D.3: Develop and evaluate inferences and
predictions that are based on data.
http://www.k12station.com/k12lin
k_library.html?subject=NM&sub_
cat=105019&final=105022
http://www.manatee.k12.fl.us/site
s/elementary/palmasola/mathlabt
utposcombo1.htm
SE: How Likely Is It? Investigation 4: Probability,
Genetics, and Games (55–56, ACE exercises)
TG: How Likely Is It? Investigation 4: Probability,
Genetics, and Games (76–78, 89–90)
TR: How Likely Is It? Transparencies 4.1;
Labsheets; Notebook Check; Self– Assessment;
Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2);
ExamView® CD–ROM; Teacher Express™ CD–
ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 32
TECH = Technology
Grade 6 Math Curriculum Alignment with State Standards
District:
Textbook: Connected Math 2
Strand: DATA ANALYSIS AND
PROBABILITY
Standard: Students will understand how to
formulate questions, analyze data, and determine
probabilities.
Grade 6 Performance Standards
6.D.4.1 List all possible outcomes
for a compound event composed of
two independent events and
recognize whether an outcome is
certain, impossible, likely, or
unlikely.
Grade 6 Textbook Pages
6.D.4.2 Determine and compare
experimental (empirical) and
mathematical (theoretical)
probabilities (e.g., flipping two color
counters).
SE: How Likely Is It? Investigation 3: Making
Decisions With Probability (39–40, ACE exercises),
Investigation 4: Probability, Genetics, and Games (60–
61, ACE exercises), Looking Back and Looking Ahead
(70–71)
TG: How Likely Is It? Investigation 3: Making
Decisions With Probability (59–62, 71–74),
Investigation 4: Probability, Genetics, and Games (83–
89), Looking Back and Looking Ahead (90–91)
TR: How Likely Is It? Transparencies 3.1A– C, 4.3;
Labsheets 3.1, 4.3; Notebook Check; Self–Assessment;
Spanish Assessment Resources
TECH: Calculators; Student Activity CD– ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD– ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
5-8 Benchmark D.4: Understand and apply basic concepts
of probability.
Supplemental Materials
http://www.mathgoodies.com/les
sons/vol6/intro_probability.html
http://mathforum.org/dr.math/faq/
faq.prob.intro.html
http://www.k12station.com/k12lin
k_library.html?subject=NM&sub_
cat=105019&final=105022
http://mathleague.com/help/perc
ent/percent.htm
http://www.shodro.org/interactiiva
te1.0/discussions/pd4.html
http://www.shodro.org/interactiiva
te/discussions/ProbabilityAndOut
com/
TR = Teaching Resources
Page 33
Month(s) when Addressed
TECH = Technology
6.D.4.3 Determine theoretical and
experimental probabilities and use
them to make predictions about
events.
6.D.4.4 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.
6.D.4.5 Use data to estimate the
probability of future events (e.g.,
batting averages).
SE: How Likely Is It? Investigation 1: A First Look at
Chance (8–10, ACE exercises), Investigation 2:
Experimental and Theoretical Probability (21–23, ACE
exercises), Investigation 3: Making Decisions With
Probability (43, ACE exercises), Investigation 4:
Probability, Genetics, and Games (57–59, ACE
exercises)
TG: How Likely Is It? Investigation 1: A First Look at
Chance (25–28, 33–35), Investigation 2: Experimental
and Theoretical Probability (37–44, 53–57),
Investigation 3: Making Decisions With Probability
(67–74), Investigation 4: Probability, Genetics, and
Games (79–82, 87–89)
TR: How Likely Is It? Transparencies 4.2; Labsheets;
Notebook Check; Self– Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD– ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD– ROM; Teacher Express™ CD–ROM
SE: How Likely Is It? Investigation 2: Experimental
and Theoretical Probability (24–26, ACE exercises)
TG: How Likely Is It? Investigation 2: Experimental
and Theoretical Probability (45–48, 53–57)
TR: How Likely Is It? Transparencies 2.3; Labsheets;
Notebook Check; Self– Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD– ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD– ROM; Teacher Express™ CD–ROM
SE: How Likely Is It? Investigation 1: A First Look at
Chance (18); Investigation 3: Making Decisions With
Probability (49)
TG: How Likely Is It? Investigation 1: A First Look at
Chance (35); Investigation 3: Making Decisions With
Probability (73)
TR: How Likely Is It? Notebook Check; Self–
Assessment; Spanish Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 34
TECH = Technology
6.D.4.6 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 the event not
occurring.
SE: How Likely Is It? Investigation 1: A First Look at
Chance (8–10, ACE exercises), Investigation 2:
Experimental and Theoretical Probability (21–23, ACE
exercises), Investigation 3: Making Decisions With
Probability (43, ACE exercises), Investigation 4:
Probability, Genetics, and Games (57–59, ACE
exercises)
TG: How Likely Is It? Investigation 1: A First Look at
Chance (25–28, 33–35), Investigation 2: Experimental
and Theoretical Probability (37–44, 53–57),
Investigation 3: Making Decisions With Probability
(67–74), Investigation 4: Probability, Genetics, and
Games (79–82, 87–89)
TR: How Likely Is It? Transparencies 4.2; Labsheets;
Notebook Check; Self– Assessment; Spanish
Assessment Resources
TECH: Calculators; Student Activity CD–ROM;
PHSchool.com Web Code amk–5500; LessonLab
Online Courses (PHSchool.com/cmp2); ExamView®
CD–ROM; Teacher Express™ CD–ROM
6.D.4.7 Describe the difference
between independent and
dependent events and identify
situations involving independent or
dependent events.
http://www.mathgoodies.com
/lessons/vol6/independent_events.html
http://regentsprep.org/Regents
/Math/mutual/Lindep.htm
http://regentsprep.org/regents/
math/math-topic.cfm?TopicCode=mutual
http://argyll.epsb.ca/jreed/
math8/strand4/4203.htm
http://www.gomath.com/htdocs
/lesson/probability_lesson8.htm
http://www.tpub.com/math2/88.htm
http://www.mathgoodies.com/lessons
/vol6/dependent_events.html
http://www.learningwave.com/chapters
/probability/dependent_independent.html
http://www.gomath.com/htdocs/
lesson/probability_lesson9.htm
http://tlqp.binghamton.edu/Resources
/BillHardin_DependentIndependent%20events.doc
http://www.leonelearningsystems
.com/s08_dependent_events.htm
SE = Student Edition
TG = Teacher’s Guide
TR = Teaching Resources
Page 35
TECH = Technology