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  Home > District Support > Mathematics > Catalogue Publications > Sample Lesson #18

Mathematics

Mathematics


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bullet  Sample Lesson #18
Assessment 2000

Table of Contents
Grade 8

About the Project                                                                                
About the Booklet                                                                                 
Instructional Analysis                                                                           
Michigan Curriculum Framework - Grade 8                                     
Formative Assessment (with rubrics)
The Family Bond (Grade Levels – 6, 7)                                         

In this task the students will use tables of baseball statistics to compare the careers of two players, Barry and Bobby Bonds, to decide which of the two players will be remembered as the better player. They will construct a double line graph to display data on home runs hit by each player. They will then write a persuasive letter to the local newspaper to explain and defend their choice based on their analysis of the players’ performance data.

The Price is Right (Grade Levels – 8)                                          
Students will determine the cost of mowing two different-size lawns. They will measure scale drawings of the lawn plots, use proportion to calculate the areas of the two plots, and compute the total cost of the lawn service. Finally, they will prepare a written proposal to a neighbor for the cost of his/her lawn service.

 Constructed Response (with rubrics)                                      
The items in this section develop skill in writing answers to questions. The questions require students to explain their thinking in clear and complete sentences. Scoring guides (rubrics) are provided for evaluating the student’s response.

Student Inventory Preface                                                         
Inventory of "Big Ideas" (Vital Understandings) in
Mathematics with examples and critical objectives for
Grade 8                                                                                      

This section provides teachers with a checklist of "Big Ideas" (vital understandings) in mathematics. These "Big Ideas" are meant to encompass the most essential concepts and skills addressed in the standards and benchmarks of the Michigan Curriculum Framework. These are the "Big Ideas" that children cannot afford to be without, if they are to be successful in mathematics. The list is intended to be "teacher friendly" yet designed to improve the intellectual quality of student performance.

Multiple Choice Preface                                                               
Student Skills Inventory of "Big Ideas" in Mathematics            

This section teaches the student how to take a multiple-choice/short answer type of test while evaluating content knowledge of the "Big Ideas" identified in the Teacher’s Inventory. Answers are provided for evaluating the student’s response.

Assessment 2000
Grade 8

Finding the perimeter and area of an irregular figure is a task performed often in the "real" world. Whether one is concerned with carpeting, engineering or simply cost estimation, the task must be completed. Display your skills with the problems below. Remember that day you asked your parents for a dog? Julie, an 8th grader, has also asked her mom to allow her to have a dog. Her mom gives permission, as long as Julie is able to plan the construction of a fence to surround their backyard. Julie’s Uncle Matt has also agreed to build the fence, if she can find the perimeter of the yard. He has asked that she write a note to him explaining how she arrived at the perimeter, and to show all her work so that he may double check it. Julie found the following survey of the backyard. Help her find the perimeter. (Remember, show all work, or no dog!)

1. a) Find the perimeter, in terms of x, of Julie’s backyard. (Show all work.)    
b) Write a note to Julie’s uncle explaining what you did. Julie’s mom also wants to lay new sod (grass) in the backyard. Uncle Matt agrees to do this project as well, if Julie can find the area and write him a note explaining how she arrived at her answer, showing all her work.


2. a) Find the area, in terms of x, of Julie’s backyard. (Show all work.)     
b) Write a note to Julie’s uncle explaining what you did.


3. To actually build the fence and lay the sod, Uncle Matt needs to know the value for x. Julie     called her city hall and found that, in her neighborhood, the value for x was 10 feet. Find the actual perimeter and area of the backyard for x = 10 feet. (Show all work.) MISD - Summer 1998

 

Assessment 2000
Grade 8
 
DRAFT
Inventory of "Big Ideas" (Vital Understandings) in Mathematics
With Examples for Grade 8 "

Correlated with Michigan Curriculum Framework
 
I. Patterns, Relations and Functions
Foundation: "Mathematics is the science of patterns."* Patterns bring order, connectiveness, and predictability, to seemingly unordered, unconnected and unpredictable situations.
1. Can I (my students/my child) determine how a pattern is created and extend that pattern?
 
Example Grade 8:
 I-1.3
In your bank you have $24. Every weekend when you finish your chores, your mom or dad gives you $3.00. On Saturday, when you go to the movies, you spend $5.00 for your ticket and food. If you don’t spend any other money during the week, how long will it be until you’re broke? If your mom or dad lets you borrow, how much will you owe in 6 months?

MISD - Summer 1998

 
 
 
 
 
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