Finding Ratios Visual
- Count each type of shape in a picture and compare the groups.
- Write ratios to show how many of one shape there are compared to another shape.
6th Grade Ratio Worksheets
Free ratio worksheets with answer key. No login or account needed. From visual ratio problems to word problems and even ratio charts and graphs, we've got you covered. A grading column and quick grade scale maker grading a breeze and a modified pages help with lower level learners or when just introducing a topic. Great for teachers or for homeschool.
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About these worksheets
These worksheets provide comprehensive practice with ratios and proportional reasoning. Activities include finding ratios from visual models, interpreting ratio wording, using rate language, reducing ratios, solving ratio word problems, using double number lines, writing equations from ratios, creating equivalent ratios, determining proportionality from tables, and evaluating true and false ratio statements. Resources span sixth through seventh grade Common Core standards.
Ratio Wording
- Practice turning ratio phrases into a clear ratio using numbers (like 3 to 2 or 3:2).
- Learn to tell which quantity is being compared to which by reading the order of the words.
- Work with different ways ratios are written, like “for every,” “per,” “each,” and “out of.”
- Decide whether a statement is comparing part-to-part or part-to-whole.
Rate Language
- Learn what rate words like per, each, and every mean in a problem.
- Match a rate statement to the correct ratio (like 3 apples for every 2 oranges).
Reducing Ratios
- Practice simplifying a ratio by dividing both numbers by the same factor.
- Find the greatest common factor of two numbers to reduce a ratio all the way.
- Check that a reduced ratio is correct by scaling it back up to match the original.
Understanding Ratios (Word)
- Find and write ratios from a word problem by comparing two amounts.
- Use a given ratio to figure out a missing part when you know the other part.
- Use a given ratio to find the total when you know one part of the ratio.
- Explain what a ratio means in context using clear words like “for every” or “per.”
Ratios Double Line
- Read a double number line to see how two quantities match up in a ratio.
- Find missing values by scaling both sides of a ratio up or down on the number lines.
- Find and use a unit rate (like per 1) from a double number line to answer questions.
Writing Equations from Ratios
- Turn a ratio between two measurements into an equation with a variable.
- Use a given unit rate to write an equation that connects two quantities.
- Match each part of a ratio to the correct variable so the equation represents the situation.
Using Ratio Equations
- Use a ratio equation to find a missing value in a pair of equivalent ratios.
- Set up a proportion from a word problem by matching the units correctly.
- Solve for a variable in a ratio equation using multiplication and division.
Creating Examples for Ratios
- Practice writing a ratio to compare two amounts in a clear way.
- Decide which number in a ratio matches each part of a situation (like red to blue or boys to girls).
- Create a simple word scenario that matches a given ratio.
About these worksheets
Students develop rate and proportional reasoning skills through real-world applications. Worksheets cover unit prices, finding ratios and unit rates, working with unit fractions, understanding unit rates with fractions, identifying the constant of proportionality from tables and graphs, using the y = kx formula, explaining proportional variables, and creating tables and graphs from ratio scenarios. Aligned with sixth and seventh grade standards.
Using Unit Prices
- Find the cost for 1 item when you’re given a total cost for several items.
- Use a unit price (cost per 1) to figure out the cost for a different number of items.
- Compare two deals by finding the unit price and choosing the better buy.
- Work with money amounts written as decimals when solving shopping word problems.
Ratios and Unit Rates
- Find and write a ratio to compare two amounts in a situation.
- Use division to find a unit rate, like cost per item or miles per hour.
Creating Tables and Graphs of Ratios
- Turn a real-world ratio situation into a table of matching values.
- Plot ratio pairs as points on a coordinate plane.
- Use the graph to see and describe the proportional relationship.