A proportion is a statement that two ratios are equal. In other words, a proportion is an equation that states that two ratios are equivalent.

The general form of a proportion is:

*a*/*b* = *c*/*d*

Where *a*, *b*, *c*, and *d* are numbers and *b* and *d* are not equal to 0.

If 2/3 = 4/x, then we can solve for *x* by cross multiplying:

2x = 3 * 4

2x = 12

x = 6

- Understand the concept of a ratio: A ratio compares two quantities by division. For example, if you have 3 red marbles and 5 blue marbles, the ratio of red marbles to blue marbles is 3:5.
- Learn to set up proportions: When solving problems involving proportions, it's important to be able to set up the correct equation. Understand that the cross products of a proportion are always equal.
- Practice solving proportions: Work on various problems involving proportions to reinforce your understanding. This will help you become more comfortable with applying the concept to different scenarios.
- Apply proportions to real-life situations: Look for real-world examples where proportions are used, such as in cooking recipes, map scales, or financial calculations. This can help you see the practical applications of this math concept.

Remember to always simplify your answers and check your work to ensure that the proportions are set up and solved correctly.

Happy studying!

Study GuideSimple Proportions Worksheet/Answer key

Simple Proportions Worksheet/Answer key

Simple Proportions Worksheet/Answer key

Simple Proportions

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Understand and use ratios and proportions to represent quantitative relationships.

Compute fluently and make reasonable estimates.

Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.

Grade 6 Curriculum Focal Points (NCTM)

Number and Operations: Connecting ratio and rate to multiplication and division

Students use simple reasoning about multiplication and division to solve ratio and rate problems (e.g., 'If 5 items cost $3.75 and all items are the same price, then I can find the cost of 12 items by first dividing $3.75 by 5 to find out how much one item costs and then multiplying the cost of a single item by 12'). By viewing equivalent ratios and rates as deriving from, and extending, pairs of rows (or columns) in the multiplication table, and by analyzing simple drawings that indicate the relative sizes of quantities, students extend whole number multiplication and division to ratios and rates. Thus, they expand the repertoire of problems that they can solve by using multiplication and division, and they build on their understanding of fractions to understand ratios. Students solve a wide variety of problems involving ratios and rates.