6th Grade Ratios & Unit Rates Worksheets
6th Grade Ratios & Unit Rates: write ratios, fill in ratio tables, and find unit rates and unit prices. Every worksheet is free, prints as a PDF with an answer key, and can be assigned online. The ones teachers open most are first.
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6rp1
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.
6rp1
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.
6rp3b
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.
6rp3b
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.
6rp3b
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.
6rp2
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).
6rp3a
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.
6rp1
Use unit rates to compare ratios and confirm whether a statement matches the situation.
6rp3a
Figure out the missing input or output number when a machine adds, subtracts, multiplies, or divides by a rule. Use the given input-output pairs to identify the operation and number being used in the rule. Work backward through an operation to find an unknown value (like undoing +, −, ×, or ÷). Check that a rule works for more than one pair in the table before filling in the blank.
6rp1
Read a tape diagram and explain what each equal part stands for in a ratio. Use a tape diagram to compare two quantities and find a missing amount.
6rp2
Divide a ratio to find a unit rate. Decide which quantity goes underneath. Write the rate with its unit.
6rp3d
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.
6rp1
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.
6rp1
Read two quantities from a table. Write a part-to-part ratio. Work out the whole and write a part-to-whole ratio.
6rp3d
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.
6rp2
Find the unit rate from any row of a table. Recognize that every row gives the same rate. Divide rather than continue a pattern.
6rp1
Find how many more one amount is than another. Find how many times as many one amount is. Explain that the two answers are not the same.
6rp1
Judge whether a ratio matches a table. Read a table as a row against another row, against the total, and against two rows combined. Reject a ratio written in the wrong order.
6rp1
Find a missing part when the total and one part are known. Write a part-to-part ratio from a real-world situation. Simplify ratios to lowest terms.
6rp2
Write both unit rates for one ratio. Explain what each of the two rates means. Choose the rate a question needs.
6rp3 6rp3a
Find the total amount when a part and its percent are known. Use the relationship between percents, ratios, and fractions to solve problems. Check that the answer is reasonable by taking the percent of the total.
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