Dover Sherborn Middle School Curriculum Road Maps

 

Course Title:     Pre-Algebra                                        Grade:  7

 

Unit: Ratio, Proportion and Percent

 

Month Presented:  January, February/March            Unit Length (in weeks):      8   

 

Essential Question (s):

  • How do fractions, decimals and percents relate to each other?
  • What is the difference between a rate and a ratio?
  • How do I use proportions to solve word problems?
  • How do I solve problems involving percents?

Learning Objectives:

  • To explore the meaning of ratio.
  • To solve proportions by using algebra.
  • To express rates in per unit form.
  • To interpret and use scale drawings.
  • To understand how proportions can be used to solve word problems.
  • To understand the relationship between percents, fractions, and decimals by changing them from one form to another.
  • To understand and solve percent word problems.
  • To understand and solve problems involving simple and compound interest.

Skills:

  • Express ratios as fractions.
  • Determine and compare unit rates.
  • Cross multiply to solve proportions.
  • Use the scale ratio to find the actual length from a scale drawing.
  • Change fractions to percents.
  • Change decimals to percent.
  • Change percents to fractions.
  • Change percents to decimals.
  • Find a percent of a number.
  • Find what percent one number is of another.
  • Find a number when a percent of it is known.
  • Find the percent of increase and decrease.
  • Find discounts and sale prices.
  • Find commission and profit.
  • Find simple interest.
  • Find compound interest.

 

 

Instructional Strategies & Activities:

  • Note taking
  • Games
  • Group work/cooperative learning
  • Independent exploration
  • Reflection and Self-assessment.
  • Solution sharing.
  • Student led instruction
  • Independent practice

Materials Utilized:

  • Textbook
  • Teacher generated material
  • Calculator
  • Flash cards
  • Technology

Assessment Strategies:

  • Discussion
  • Daily class performance
  • Openers/warm-ups
  • Tests and quizzes