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Table of Contents

Formative Assessments (with rubrics)

Preface

1

Track Meet (Teacher Booklet)

3

Track Meet (Student Booklet)

12

Under the Boardwalk (Teacher Booklet)

18

Under the Boardwalk (Student Booklet)

26

Constructed Response Questions (with rubrics)

Preface and Test Taking Hints

32

Sets

33

New Figures

37

A Movable Turf

42

The Patio Placement

50

Rectangles

57

Balancing Act

61

Grandma’s Gift

66

Carnival Rides

73

Multiple Choice Questions

Preface and Test Taking Hints

79

Multiple Choice Questions

80

Explanation of Answers

85

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

46

Aligned with the Michigan Curriculum Framework, Michigan Department of Education, 
and adapted from the Maryland Assessment Consortium

Assessment 2000

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

62

Aligned with the Michigan Curriculum Framework, Michigan Department of Education,

and adapted from the Maryland Assessment Consortium

Assessment 2000

Grade 7

James discovered it takes 8 unit cubes to balance two marbles and a jack on his balance scale. He also discovered one marble will balance with one jack and one unit cube. How many unit cubes are needed to balance one marble on the scale?

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

62

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

63

Aligned with the Michigan Curriculum Framework, Michigan Department of Education,

and adapted from the Maryland Assessment Consortium