banner spacer
Search:

Teachers Administrators Technology
MISD Schools Transportation Assessment Center Center Programs MIPP SRS
Special Needs English Language Learners Homeless
MISD Parents Young Children Early On Special Needs Macomb County
Online Directory Printable Directory Web Sites
Online Registration MOST (Blackboard) Bus Driver Training
Maps Administration Board of Education MISD Directory
Job Postings Online Application Printable Application
  Home > District Support > Mathematics > Catalogue Publications > Sample Lesson #12

Mathematics

Mathematics


spacer  
bullet  Sample Lesson #12
Table of ContentsFormative Assessments (with rubrics)
Preface                                                                                                      
Track Meet (Teacher Booklet)                                                                      
Track Meet (Student Booklet)                                                                     
Under the Boardwalk (Teacher Booklet)                                                      
Under the Boardwalk (Student Booklet)                                                      

Constructed Response Questions (with rubrics)
Preface and Test Taking Hints                                                                    
Sets                                                                                                        
New Figures                                                                                             
A Movable Turf                                                                                         
The Patio Placement                                                                                 
Rectangles                                                                                               
Balancing Act                                                                                           
Grandma’s Gift                                                                                         
Carnival Rides                                                                                          

Multiple Choice Questions
Preface and Test Taking Hints                                                                   
Multiple Choice Questions                                                                         
Explanation of Answers                                                                            
Assessment 2000
Grade 7
 
EXEMPLAR

A giant jigsaw puzzle of boxes designed by 3-Dimensional Services of Rochester Hills, MI is making it possible to play soccer in the Pontiac Silverdome on real grass. The boxes can be trucked in and out of the building between events. When assembled the 232-foot by 375-foot field contains 1,850 grass hexagons, 88 triangles, and 60 trapezoids, all placed together to form a rectangle. The indoor field of natural grass was used during the World Cup USA 1994.
 
A. Cover the three rectangular region on the next page three different ways.     List the type of polygons used and the number used of each polygon.

B. Decide which of your fields (number 1, 2, or 3) would best stand up to high stress (players running, stopping quickly, changing direction, sharp turns, etc.) and explain why you chose the one you did in a letter to Alan Peterson. sales manager of 3-Dimensional Services.

C. If is equal to one square unit of measure, then the fields each represent 64 square units. Determine what fractional part of the whole field you chose in part B is covered by each type of polygon.
 
MISD, September, 97                                                                           
Aligned with the Michigan Curriculum Framework, Michigan Department of Education,  and adapted from the Maryland Assessment Consortium
 
Assessment 2000
Grade 7
 
DRAFT Constructed Response
Balancing Act
Grade 7
James discovered it takes eight (8) unit cubes to balance two marbles and a jack on his balance scale. He also discovered one (1) marble will balance with one jack and one (1) unit cube. How many unit cubes are needed to balance one (1) marble on the scale? Explain in detail how you arrived at your answer. Include any diagrams, algebraic expressions, etc. in your explanation that may help.
 
MISD, September, 97                                                                              
Aligned with the Michigan Curriculum Framework, Michigan Department of Education, and adapted from the Maryland Assessment Consortium
 
Assessment 2000
Grade 7
 
DRAFT Constructed Response
Balancing Act
Grade 7
James discovered it takes eight (8) unit cubes to balance two marbles and a jack on his balance scale. He also discovered one (1) marble will balance with one jack and one (1) unit cube. How many unit cubes are needed to balance one (1) marble on the scale? Explain in detail how you arrived at your answer. Include any diagrams, algebraic expressions, etc. in your explanation that may help.
 
I decided you would need three unit cubes to balance the marble. I decided I could combine both left sides of the balance with both right sides of the balance since they were both equals. I got three marbles and a jack on the left to balance 9 unit cubes and a jack on the right. I took a jack off of both sides since they were equal. That left three marbles balancing 9 unit cubes so I figured each marble was equal to three unit cubes.
OR (see next page)
MISD, September, 97                                                                              
Aligned with the Michigan Curriculum Framework, Michigan Department of Education, and adapted from the Maryland Assessment Consortium
 
Assessment 2000
Grade 7
I let "a" represent the weight of each marble and "b" represent the weight of each jack. I wrote equations to represent each situation.
2a + b = 8
a = b + 1
I replaced the a’s with (b + 1)’s in the first equation and got
2 (b + 1 ) + b = 8
2b + 2 + b = 8
3b + 2 = 8
3b = 6
                              b = 2
                              Since a = b + 1
                              a = 2 + 1 or 3. Each marble is equal in weight to (3)
                              three unit cubes.
MISD, September, 97                                                                             
Aligned with the Michigan Curriculum Framework, Michigan Department of Education, and adapted from the Maryland Assessment Consortium
 
 
 
 
 
TIENet | Departments | Contact Us | MOST/Blackboard | Blackboard Links | email:Apollo | email:Outlook | Medicaid
© 2009 Macomb Intermediate School District - Clinton Township, MI
Phone: (586) 228-3300