Writing Proportions
Writing proportions is a Grade 6 math skill in Big Ideas Math Advanced 1, Chapter 14: Ratios and Proportions. A proportion is an equation stating that two ratios are equal. Students learn to set up proportions from word problems and tables, ensuring corresponding quantities are in the same positions in each ratio.
Key Concepts
Two quantities $x$ and $y$ are in a proportional relationship if the quotient $\frac{y}{x}$ is a fixed number $k$ whenever $x$ is not zero.
This relationship can be written as a proportion : $\frac{y}{x} = k$ or $y = kx$.
Common Questions
What is a proportion in Grade 6 math?
A proportion is an equation that states two ratios are equal: a/b = c/d. For example, 2/3 = 4/6 is a proportion because both ratios represent the same relationship.
How do you write a proportion from a word problem?
Identify the two quantities being compared and set up two ratios with matching units in the same position. For example, if 3 apples cost .50, find the cost of 7 apples: 3/1.50 = 7/x, then solve for x.
What are corresponding quantities in a proportion?
Corresponding quantities are the matching values in each ratio. If you place "apples" in the numerator, both ratios must have apples in the numerator. Keeping corresponding quantities aligned is essential for setting up proportions correctly.
Where is writing proportions taught in Big Ideas Math Advanced 1?
Writing proportions is covered in Chapter 14: Ratios and Proportions of Big Ideas Math Advanced 1, the Grade 6 math textbook.