Exploring Equivalent Ratios in 6th Grade Math

The video tutorial covers the concept of equivalent ratios, explaining how they are similar to equivalent fractions. It uses examples involving basketball and soccer players to demonstrate how to find equivalent ratios using multiplication and division. The tutorial also introduces ratio tables as a tool for solving ratio problems and emphasizes the importance of simplifying ratios to find equivalent values. Additionally, it includes practical classroom problems to reinforce the understanding of ratios.

What is the basic concept of equivalent ratios?

• Multiplying both quantities by the same number

• Subtracting the same number from both quantities

• Multiplying both quantities by different numbers

• Adding the same number to both quantities

If the ratio of basketball to soccer players is 16:48, what is the ratio if both numbers are doubled?

• 32:96

• 16:48

• 32:48

• 16:96

In a ratio table, if the original ratio is 16:48, what is the ratio after multiplying both terms by 5?

• 65:195

• 31:93

• 16:48

• 80:240

What constant factor relates the number of basketball players to soccer players?

• 2 times greater

• 3 times greater

• 5 times greater

• 4 times greater

If you multiply the numerator and denominator of a ratio by 7, what happens to the ratio?

• It becomes an equivalent ratio

• It becomes a completely different ratio

• Only the numerator changes

• Only the denominator changes

How do you find an unknown value in a ratio if one term is 21 and needs to be equivalent to 49?

• Simplify and then multiply

• Subtract 21 from 49

• Multiply 21 by 2

• Divide 21 by 49

What is the simplified form of the ratio 15:21?

• 6:7

• 5:7

• 5:6

• 7:8

What is the correct method to solve for an unknown in a ratio equation 7:8 = 49:x?

• Add 8 to 49

• Subtract 7 from 49

• Multiply 8 by 7

• Divide 49 by 7

What should you do if you need to find the equivalent ratio for 3 out of 8 students wearing braces in a class of 32?

• Divide 32 by 8

• Add 3 to 8

• Subtract 3 from 32

• Multiply 3 by 4

How many students do not wear braces if 3 out of 8 students do, in a class of 32?

• 12 students

• 29 students

• 24 students

• 20 students