A ratio is a comparison of two or more quantities. It is often written as a fraction or using a colon (:). For example, if you have 3 red marbles and 5 blue marbles, the ratio of red marbles to blue marbles can be written as 3:5 or 3/5. Ratios are used to compare the sizes of two or more quantities.

To write a ratio, simply compare two quantities using a colon or as a fraction. For example, if you have 4 apples and 6 oranges, the ratio of apples to oranges can be written as 4:6 or 4/6, which can be simplified to 2:3 by dividing both parts of the ratio by their greatest common factor.

Ratios that represent the same comparison are called equivalent ratios. Equivalent ratios can be found by multiplying or dividing both parts of the ratio by the same number. For example, the ratios 2:3 and 4:6 are equivalent because 2 * 2 = 4 and 3 * 2 = 6.

Ratios can also be written as fractions. For example, a ratio of 2:3 can be written as the fraction 2/3. This is especially useful when solving problems involving ratios using fraction operations.

Ratios are used in many real-life situations, such as cooking (measuring ingredients), finance (calculating interest rates), and map reading (scale drawings). Understanding ratios is important for solving various problems in these areas.

When studying ratios, it's important to understand the following concepts:

- How to write ratios using a colon or as a fraction
- Finding equivalent ratios by multiplying or dividing both parts of the ratio
- Converting ratios to fractions and vice versa
- Applying ratios to real-life situations

Practice solving problems involving ratios and try to relate them to everyday situations to reinforce your understanding of the concept.

Remember that ratios are used to compare quantities and are an important aspect of mathematics and everyday life.

Study GuideDiameter of Circle Worksheet/Answer key

Diameter of Circle Worksheet/Answer key

Diameter of Circle Worksheet/Answer key

Diameter of Circle

Geometry (NCTM)

Use visualization, spatial reasoning, and geometric modeling to solve problems.

Use geometric models to represent and explain numerical and algebraic relationships.

Measurement (NCTM)

Apply appropriate techniques, tools, and formulas to determine measurements.

Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.

Develop and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles and develop strategies to find the area of more-complex shapes.

Connections to the Grade 6 Focal Points (NCTM)

Measurement and Geometry: Problems that involve areas and volumes, calling on students to find areas or volumes from lengths or to find lengths from volumes or areas and lengths, are especially appropriate. These problems extend the students' work in grade 5 on area and volume and provide a context for applying new work with equations.