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Recognizing Proportional Relationships

Answer Keys Here

Aligned To Common Core Standard:

Grade 7 Proportions - 7.RP.A.2a

Tips For Recognizing Proportional Relationships - Proportion plays a very important role in your life. If you look around yourself, you will find everything coming in proportion to you. Before we begin with the tips for identifying proportional relationships between quantities, take a look at the examples around you. The word proportion is used as a synonym for ratio. In fact, both terms are interchangeable. Taking an example from our everyday life; the relationship between the liters of petrol we put in our car and the money we pay for the fuel has a proportional relationship. The more petrol we put in the tank, the more we have to pay for it. Similarly, the less we put into the tank, the fewer bucks we have to have to pay. It is a directly proportional relationship between fuel and money. In a given problem, you can identify the proportional relationship by following the below-mentioned steps: - Look for the variable in the problem. - Take a look at their ratios and see either they are equivalent or not. If they are equivalent, they are proportional variables, and if the ratios aren't equivalent the variables aren't proportional. - You can also identify a constant value in the problem to identify the proportional relationship because one variable is always a constant value times the other, known as the ‘constant of proportionality'.

Printable Worksheets And Lessons

Homework Sheets

I used data tables in all these sheets to allow students to easily see likeness and differences.

  • Homework 1 - The table below gives the price for different numbers of chocolate. Do the numbers in the table represent a proportional relationship?
  • Homework 2 - The table below gives the distance covered by David over time. Do the numbers in the table represent a proportional relationship?
  • Homework 3 - : Jack has a shop. The table below displays the number of plants he sold over the last number of weeks. Does the table represent a proportional relationship?

Practice Worksheets

Some teachers are now having students write answers to these types of problems in essay format.

  • Practice 1 - Maria went to market and bought books. The table below shows the price for different numbers of books.
  • Practice 2 - Johnson made goodie bags from sheets of paper. The table below shows the number of bags made by the number of sheets.
  • Practice 3 - Jess went to the market and bought oranges. The table below shows the prices for the different numbers of oranges she bought.

Math Skill Quizzes

Each quiz progresses through the skill and grows each time.

  • Quiz 1 - State whether the ratios are proportional or not.
  • Quiz 2 - Find the proportion that exists between the numbers.
  • Quiz 3 - Write the following ratios. 18 white balls and 12 black balls as a ratio of black balls to white balls.