A proportions/maine-standards?dictionary=proportion&did=415" onclick="getAsistant(this,event,415,'proportion');return false;" style="color:#009000;">proportion is a statement that two proportions/maine-standards?dictionary=ratios&did=272" onclick="getAsistant(this,event,272,'ratios');return false;" style="color:#009000;">ratios are equal. In other words, a proportions/maine-standards?dictionary=proportion&did=415" onclick="getAsistant(this,event,415,'proportion');return false;" style="color:#009000;">proportion is an proportions/maine-standards?dictionary=equation&did=431" onclick="getAsistant(this,event,431,'equation');return false;" style="color:#009000;">equation that states that two proportions/maine-standards?dictionary=ratios&did=272" onclick="getAsistant(this,event,272,'ratios');return false;" style="color:#009000;">ratios are proportions/maine-standards?dictionary=equivalent&did=458" onclick="getAsistant(this,event,458,'equivalent');return false;" style="color:#009000;">equivalent.
The general form of a proportions/maine-standards?dictionary=proportion&did=415" onclick="getAsistant(this,event,415,'proportion');return false;" style="color:#009000;">proportion is:
a/b = c/d
Where a, b, c, and d are proportions/maine-standards?dictionary=numbers&did=139" onclick="getAsistant(this,event,139,'numbers');return false;" style="color:#009000;">numbers and b and d are not proportions/maine-standards?dictionary=equal+to&did=108" onclick="getAsistant(this,event,108,'equal to');return false;" style="color:#009000;">equal to 0.
Example:
If 2/3 = 4/x, then we can solve for x by cross multiplying:
2x = 3 * 4
2x = 12
x = 6
Study Guide:
Understand the concept of a proportions/maine-standards?dictionary=ratio&did=414" onclick="getAsistant(this,event,414,'ratio');return false;" style="color:#009000;">ratio: A proportions/maine-standards?dictionary=ratio&did=414" onclick="getAsistant(this,event,414,'ratio');return false;" style="color:#009000;">ratioproportions/maine-standards?dictionary=compares&did=562" onclick="getAsistant(this,event,562,'compare');return false;" style="color:#009000;">compares two proportions/maine-standards?dictionary=quantities&did=352" onclick="getAsistant(this,event,352,'quantities');return false;" style="color:#009000;">quantities by proportions/maine-standards?dictionary=division&did=104" onclick="getAsistant(this,event,104,'division');return false;" style="color:#009000;">division. For example, if you have 3 red marbles and 5 blue marbles, the proportions/maine-standards?dictionary=ratio&did=414" onclick="getAsistant(this,event,414,'ratio');return false;" style="color:#009000;">ratio of red marbles to blue marbles is 3:5.
Learn to set up proportions/maine-standards?dictionary=proportions&did=415" onclick="getAsistant(this,event,415,'proportion');return false;" style="color:#009000;">proportions: When proportions/maine-standards?dictionary=solving+problems&did=418" onclick="getAsistant(this,event,418,'solving problems');return false;" style="color:#009000;">solving problems involving proportions/maine-standards?dictionary=proportions&did=415" onclick="getAsistant(this,event,415,'proportion');return false;" style="color:#009000;">proportions, it's important to be able to set up the correct proportions/maine-standards?dictionary=equation&did=431" onclick="getAsistant(this,event,431,'equation');return false;" style="color:#009000;">equation. Understand that the cross proportions/maine-standards?dictionary=products&did=681" onclick="getAsistant(this,event,681,'product');return false;" style="color:#009000;">products of a proportions/maine-standards?dictionary=proportion&did=415" onclick="getAsistant(this,event,415,'proportion');return false;" style="color:#009000;">proportion are always equal.
Practice solving proportions/maine-standards?dictionary=proportions&did=415" onclick="getAsistant(this,event,415,'proportion');return false;" style="color:#009000;">proportions: Work on various problems involving proportions/maine-standards?dictionary=proportions&did=415" onclick="getAsistant(this,event,415,'proportion');return false;" style="color:#009000;">proportions to reinforce your understanding. This will help you become more comfortable with applying the concept to different scenarios.
Apply proportions/maine-standards?dictionary=proportions&did=415" onclick="getAsistant(this,event,415,'proportion');return false;" style="color:#009000;">proportions to real-life situations: Look for real-world examples where proportions/maine-standards?dictionary=proportions&did=415" onclick="getAsistant(this,event,415,'proportion');return false;" style="color:#009000;">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/maine-standards?dictionary=proportions&did=415" onclick="getAsistant(this,event,415,'proportion');return false;" style="color:#009000;">proportions are set up and solved correctly.
Happy studying!
[Simple Proportions] Related Worksheets and Study Guides:
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.