CMS Curriculum Guides 2011-2012
6th Grade Math
Standard/Standard Plus
Unit Title: How Likely Is It?
Suggested Time: : 19 classes (suggested for March 19 – April 20) (see Pacing Suggestions on TE p.10)
Enduring understanding (Big Idea): Students will understand that probabilities are useful for predicting what will happen over the long run and can help make decisions through
determining both experimental probabilities and theoretical probabilities and developing an understanding of randomness and the Law of Large Numbers.
(FOUND IN TEACHER’S EDITION ON MATHEMATICAL HIGHLIGHTS PAGE 2)
Essential Questions: How can I determine possible outcomes in a situation? How can I determine the experimental probability of the outcomes in a situation? Is it possible to
determine the theoretical probability of the outcomes in a situation and what are they? How can I use probabilities to answer questions and make decision about this situation?
(FOUND IN TEACHER’S EDITION ON MATHEMATICAL HIGHLIGHTS PAGE 2)
Unit Plans (FOUND IN TEACHER’S EDITION ON PLANNING FOR
THE UNIT PAGE 8-9)
Investigations and Problems with suggested assignments from ACE
exercises included after each investigation. Suggested assignment
guide appears on each “At a Glance” page for each investigation.
Additional Practice exercises are available for each investigation in this
unit for extension or reinforcement or review.
Common Core Standards
Alignment/Mathematical Practices
Connection to 2003 Standards
NOTE: All assignments are suggestions only. It is strongly recommended that
teachers study and work carefully each problem, and exercise in the investigations.
Teachers should adjust assignments accordingly for their students.
There are no Common Core Standards for 6th
grade (will move to 7th grade after 2011-2012)
4.01 Develop fluency with counting
strategies to determine the sample
space for an event. Include
lists, tree diagrams, frequency
distribution tables, permutations,
combinations, and the Fundamental
Counting Principle.
4.03 Conduct experiments involving
simple and compound events.
4.04 Determine and compare
experimental and theoretical
probabilities for simple and
compound
events
4.01, 4.04
4.05 Determine and compare
experimental and theoretical
probabilities for independent and
dependent events.
Investigation 1 A First Look at Chance
Problem 1.1- pages 19-20 assign: #1, 3-5, 19, 20
Problem 1.2- pages 21-24 assign: #6-8, 19, 21-23
Problem 1.3- pages 25-28 assign: #9, 10, 24, 25
Problem 1.4- pages 29-32 assign: #11-18, 26-28
Mathematical Reflections
Investigation 2 Experimental and Theoretical Probability
Problem 2.1- pages 37-40 assign #1,2, 13-16
Problem 2.2- pages 41-44 assign #3-6, 17-24
Problem 2.3- pages 45-48 assign #7-9, 25-31
Problem 2.4- pages 49-52 assign #10-12, 32, 33
Mathematical Reflections
Mathematical Practices:
1. Make sense of problems and persevere in
solving.
2. Reason abstractly and quantitatively.
Mathematical Practices:
3. Construct viable arguments.
6. Students will attend to precision.
CMS Curriculum Guides 2011-2012
6th Grade Math
Standard/Standard Plus
4.06 Design and conduct experiments
or surveys to solve problems; report
and analyze results.
Investigation 3 Making Decisions With Probability
Problem 3.1- pages 59-62 assign #1,3,4, 11-17, 18-21
Problem 3.2- pages 63-66 assign #7-9, 22, 23-25
Problem 3.3- pages 67-70 assign #10, 27, 30
Mathematical Reflections
Mathematical Practices:
Investigation 4 Probability, Genetics, and Games
Problem 4.1- pages 76-78 assign #1, 2, 13-16
Problem 4.2- pages 79-82 assign #3-7
Problem 4.3- pages 83-86 assign #8-12, 20-25
Mathematical Reflections
Mathematical Practices:
NOTE: Permutations and Combinations are not directly taught. Teachers may
use Holt Course 1, pp.578-579; Course 2 pp. 534-543
Mathematical Practices:
4.04, 4.05,4.06
4. Model with mathematics
5. Use appropriate tools strategically
4.01, 4.02, 4.04
4. Model with mathematics
4.01
1. Make sense of problems and persevere in
solving them.
6. Attend to precision.
7. Look for and make use of structure
8. Look for and express regularity in repeated
reasoning.
Prior Knowledge: 1. Performing operations with whole numbers; finding factors and multiples (Prime Time); developing understanding of ratio in fraction
percent or decimal form (Bits and Pieces I)
2. Working with ratio and proportion (Bits and Pieces I)
3. Analyzing games or situations (Prime Time); Looking for patterns (Covering and Surrounding)
4. Working with fractions and ratios (Bits and Pieces I) (FOUND IN TEACHER’S EDITION ON CONTENT CONNECTIONS TO OTHER UNITS PAGE 8)
CMS Curriculum Guides 2011-2012
6th Grade Math
Standard/Standard Plus
Essential Terms Developed in This Unit (FOUND IN TEACHER’S
Useful Terms Referenced in This Unit
EDITION ON PLANNING FOR THE UNIT PAGE 10)
*All vocabulary is used when teaching honors.
equally likely, fair game, experimental probability, outcomes, probability, simulation
theoretical probability, tree diagram, organized list, event, trial,
certain outcome, chances, favorable trials, favorable outcome, impossible outcome,
possible, probable, random, result, trial, or and and in probability
Resources (FOUND IN TEACHER’S EDITION ON PROGRAM RESOURCES
IN EACH BOOK)
Lab-Sheet
Additional Practice/Skills Worksheets
CMP2 Website –online & technology resources
Formal Assessment

Check-Ups

Partner Quiz

Unit Test
Assessment Options

Notebook check

Multiple-Choice

Question Bank

ExamView CD-ROM
Parent Guide-Unit Letters
Spanish Assessment Resources
PHSchool.com
TeacherExpress CD-ROM
LessonLab Online Courses
Unit Technology Tips
PAGES 11-12 – BASICALLY THE SAME RESOURCES