Ladies and Gentleman, the Tape Diagram.

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Presentation transcript:

Ladies and Gentleman, the Tape Diagram.

Diagram used to compare ratios when the ratios have the same units of measurement. Uses rectangles to visually display ratios. Ratio: A comparison of two quantities or numbers

4:3 7 total pieces Total Quantity ÷ Total Number of Pieces. To make purple paint you need 4 parts red and 3 parts blue. 4:3 1 1 1 1 1 1 1 7 total pieces The whole diagram (Blue and Red combined) equals 7 gallons of paint. Each square is equal to one gallon of paint. How I found the value of each box: Total Quantity ÷ Total Number of Pieces.

Whoa Mr. Compton, you did what?? 1. Write the ratio of the problem you are dealing with in any of the three forms. (I prefer the : ) 2. Draw your ratio using the “squares” or “whole” pieces 3. Count the total number of pieces in your tape diagram 4. Total quantity ÷ Total number of pieces 5. Use quotient to fill in each square 6. Add or multiply to find total number of each item.

Using our same ratio 4:3 4:3 7 Total Pieces Check Yo Self: Suppose you want to make 84 gallons of purple paint, how much of each color will you need? 12 4:3 12 7 Total Pieces Check Yo Self: 84 Total Gallons 48 + 36 = 84 84 = 84 ✔ 84 ÷ 7 = 12 Red Paint = 12 x 4 = 48 Gallons Blue Paint = 12 x 3 = 36 Gallons

Trail Mix! Trail mix has a ratio of 8 chocolate chips to 5 nuts. How much of each do you need if you want 260 pieces of trail mix?

Try these on your own! I believe in you  The ratio of green M & M’s to Blue M & M’s is 6 : 5. IF one Seahawks themed Costco size bag contains 2700 delicious M & M’s of only these two colors, how many of each color will there be? The ratio of girls to boys in a a college class is 4 : 5. If there are 486 students in the classroom, how many fewer girls are there than boys?

Ticket to Recess 1. Summarize the TAPE DIAGRAM in your own words. 2. Solve the following problem, using a tape diagram: The ratio of Bison to Students at CIMI is 1:7. If there are 208 entities (Bison and Students) at CIMI, how many of each species are there?