## Recognizing Proportional Relationships

#### 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 â€˜constant of proportionality'.

### Printable Worksheets And Lessons

- Soccer Balls
Step-by-step Lesson- Is the price of soccer balls proportional
to the number of balls?

- Guided Lesson
- We practice with data tables. Look for relationships found within
the nature of the tables.

- Guided Lesson
Explanation - I always like to break down the proportions to
the simplest form. If they are even, a relationship does exist.

- Practice Worksheet
- This one took me forever to write the scenarios, but it was worth
it. These usually throw off students; it makes for good practice.

- Matching Worksheet
- There are only three questions here. It makes for a good review
or introduction.

- Equivalent Proportions
Five Worksheet Pack - We give you two ratios. Tells us if they
are equal.

- Creating Equivalent Proportions
Five Worksheet Pack - Given a string of four integers, find
a proportion that fits the set.

- Rewriting Ratios Five
Worksheet Pack - This series looks visual and word problem based
ratios for you to create.

- Solving Proportion Problems Five Worksheet Pack - Find the missing part of the ratios if they are in fact even.

#### 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.