Finding What Percent One Number is of Another

Author: KEVIN ODRISCOLL  09/07/2003 01:06:00 PM UMST		 TaskStream - Advancing Educational Excellence

VITAL INFORMATION
Subject(s):
Elementary, Mathematics, Special Education
 
Topic or Unit of Study:
Chapter 8: Exploring Ratio, Proportion, and Percent

A Real Life Connection of Lesson Plan: Determining Store Discount Prices
 
Grade/Level:
6
 
Objective:
LCMSSWBAT - La Cima Middle School Students Will Be Able To:
Objective: Students will learn to find what percent one number is of another number using ratio and equation methods.
 
Summary:
Students will have the knowledge to determine a savings when they purchase items on sale with a discount percentage of the original price.
 
IMPLEMENTATION
Learning Context:
This lesson plan is part of a larger unit working with decimals and fractions. We will review a previous lesson on how to write a percent as a fraction (prior knowledge). Using that information students will divide the fraction to obtain a decimal and convert that number into a percentage.

The new lesson will show students how to use two methods to find the percentage of a number by:
1. Using proportions
2. Using equations (review of prior knowledge of solving expressions using equations).
 
Procedure:
1. Discuss with students how to write a percent as a fraction(check on prior knowledge)

2. Using proportions to solve:
a. explain using partial number over totals as ne the fractions. (use overhead to display example)
b. explain using the words "is/of" as another way to help set up the reation.
c. walk through an example using overhead
d. have students try a sample problem using their whiteboard, have them explain thier steps and reasoning.

3. Using an example, solve a problems by using an equation.
a. review writing equations using word problem format (prior knowledge)
b. demonstrate using with an example on the overhead
c. model thinking process when converting to an equation.
d. explain that the answer is a decimal that must be converted to a percent (prior knowledge review).
e. have students try a problem and show work on their whiteboards and overhead.
 
Sample Student Products:
Using the classroom computer with AverKey to display on classroom television we will review sample work from the text at the publishers website:

REVIEW OF PERCENTS AND FRACTIONS:
Click on link 1 to take a practice quiz

REVIEW OF PERCENTS AND DECIMALS:
Click on link 2 to take a practice quiz

REVIEW PERCENT OF A NUMBER
New lesson material, click on link 3 to practice.

This work can also be accessed from home by students logging on to my teacher webpage and clicking on PRACTICE ONLINE link button.
Links
  1. Practice Fractions and Percents Text Publishers Website for taking practice quiz and chapter tests.
  2. Percent of a Number Current Lesson Plan additional practice. Students will practice until they score 100%, 5 out of 5 questions
  3. Percents and Decimal Practice Review and practice
 
Collaboration:
Students will work collaboratively & individually. Students will work in groups of 4.
 
Time Allotment:
2 class periods. 50 Min. per class.
 
Author's Comments & Reflections:
Special Class Characteristics:
Middle School 6th Grade Students including special needs students mainstreaming and ESL students.
 
MATERIALS AND RESOURCES
Instructional Materials:
Overhead
Whiteboards for Student Use
Dry Erase Markers
Transparency for Examples
Transparency Practice 8-7 - Percent of a Number
Student copy of Worksheet Practice 8-7 - Percent of a Number
sample problem: 120% of 70
Averkey & Classroom Television
Classroom Computer
Textbook Chapter 8 Section 7
Newspaper ads for store sales

Modifications and Accomodations for Special Needs and ESL Students:
1. Provide hard copy of overheads and lecture notes.
2. Highlight instructions on worksheets.
3. Ask student to paraphrase instructions for understanding.
4. Exlain and discuss real world connections (newspaper sale ads)
5. Use of additional computers to work on material in lesson plan links (fractions, decimals, percents)
6. Reduce number of homework questions and worksheet problems as needed.
7. Work in small group with peer tutor
8. Use of wide lined paper as needed
9. Preferrential seating near teacher as needed
10. Use of Overhead and Television computer display to keep attention directed. Also maintain eye contact with students.
11. Allow use of manipulatives and aides (whiteboards, math tables, calculator when needed)
12. Provide rewards for work completion
13. Modify multiple choice answers from 4 (a,b,c,d) answers to 2 choices.
14. Teach key vocabulary terms before lesson as well as display vocabulary terms on WORD WALL.
15. Allow extra time for completion and submission of work products.

ESL
1. Seek classroom aide for translation when available.
2. Pair students with bilingual students for assistance.
3. Provide ESL Department with copy of the overheads and lesson plans for their tutoring period.
 
Resources:
  • Materials and resources:
    Averkey that display monitor images on Classroom Television.

    Internet Connection to access teacher webpage and link to text publisher website for online examples and practice quiz.
  • Technology resources:
    Access, Internet Explorer, Netscape, Classroom has 3 computers with internet access as well as educational software for practicing math skills (ie Math for the Real World)
  • The number of computers required is 1.
  • Students Familiarity with Software Tool:
    Students have had prior classroom computer lab work in using computers to acces the internet and connect to the teacher's homepage for practice work.
 
STANDARDS & ASSESSMENT
Standards:
AZ- Arizona Academics Standards
• Subject : Mathematics
• Standard : Mathematics Standard Articulated by Grade Level (outdated)
• Strand Strand 1: Number Sense and Operations
Every student should understand and use all concepts and skills from the previous grade levels. The standards are designed so that new learning builds on preceding skills and are needed to learn new skills. Communication, Problem-solving, Reasoning & Proof, Connections, and Representation are the process standards that are embedded throughout the teaching and learning of mathematical strands.
• Concept Concept 1: Number Sense - Understand and apply numbers, ways of representing numbers, the relationships among numbers and different number systems.
• Grade Level : Grade 6
 Performance Objective PO 1: Express fractions as ratios, comparing two whole numbers. (e.g., ¾ is equivalent to 3:4 and 3 to 4)
 Performance Objective PO 4: Determine the equivalency between and among fractions, decimals, and percents in contextual situations.
• Concept Concept 2: Numerical Operations - Understand and apply numerical operations and their relationship to one another.
• Grade Level : Grade 6
 Performance Objective PO 1: Select the grade level appropriate operation to solve word problems.
 Performance Objective PO 4: Apply the symbols for “…” or “????” to represent repeating decimals and “:” to represent ratios, superscripts as exponents.
 Performance Objective PO 5: Use grade level appropriate mathematical terminology.
 Performance Objective PO 6: Simplify fractions to lowest terms.
 Performance Objective PO 8: Demonstrate the process of multiplication of proper fractions using models.
 Performance Objective PO 9: Multiply proper fractions.
 Performance Objective PO 11: Demonstrate that division is the inverse of multiplication of proper fractions.
 Performance Objective PO 12: Divide proper fractions.
 Performance Objective PO 14: Solve problems involving fractions or decimals (including money) in contextual situations.
 Performance Objective PO 15: Simplify numerical expressions using the order of operations with grade appropriate operations on number sets.
• Strand Strand 3: Patterns, Algebra, and Functions
Every student should unde rstand and use all concepts and skills from the previous grade levels. The standards are designed so that new learning builds on preceding skills and are needed to learn new skills. Communication, Problem-solving, Reasoning & Proof, Connections, and Representation are the process standards that are embedded throughout the teaching and learning of mathematical strands.
• Concept Concept 3: Algebraic Representations - Represent and analyze mathematical situations and structures using algebraic representations.
• Grade Level : Grade 6
 Performance Objective PO 1.: Evaluate expressions involving the four basic operations by substituting given fractions for the variable. (e.g., n+3, when n= ½ )
 Performance Objective PO 2. : Use variables in contextual situations.
 Performance Objective PO 3.: Translate a written phrase to an algebraic expression. (e.g., The quotient of m and 5 is m or m 5 5 ¸ .)
 Performance Objective PO 4.: Translate a phrase written in context into an algebraic expression. (e.g., Write an expression to describe the situation: John has x pieces of candy and buys three more. x + 3)
 Performance Objective PO 5. : Solve one-step equations with one variable represented by a letter or symbol, using inverse operations with whole numbers.
• Subject : Technology (OLD)
• Standard 1: Fundamental Operations and Concepts.
Students understand the operations and function of technology systems and are proficient in the use of technology.
• Grade Range : ESSENTIALS (Grades 4-8)
• Key Idea/Concept 1T-E1: Communicate about technology using developmentally appropriate and accurate terminology See: Language Arts (VP-E)
 Performance Objective PO 1: Use basic vocabulary related to technology (e.g., FireWire, USB, parallel, serial, scanning, digitizing, OCR)
 Performance Objective PO 2: Use basic vocabulary related to systems (e.g., network, infrastructure, Internet, Intranet, LAN, WAN, Ethernet, firewall, server, TCP-IP)
• Key Idea/Concept 1T-E2: Demonstrate increasingly sophisticated operation of technology components See: Arts {Music} (1AM-E9-10), Science (1SC-E2), Mathematics (1M-E6; 2M-E1) and Workplace Skills (7WP-E1)
 Performance Objective PO 2: Retrieve and save information remotely (e.g., network servers, Internet, Intranet, peripheral devices)
 
Assessment/Rubrics:
Assessment will be accomplished by reviewing and scoring
PRACTICE WORKSHEET 8-7
Additional assessment from
Text Homework Assignments
Online links to practice and review material for Percents
Enrichment Worksheet 8-7 from text materials