Day 039Plotting Ratio Pairs

Standards 6.RP.A.3a

LEARNING TARGET

I can plot equivalent-ratio pairs and explain a point.

01 · LEARN

Build the idea

Put the first quantity on the horizontal axis and the second on the vertical axis. Build a table, label units, and plot ordered pairs. A point (x,y) describes both quantities together.

WORKED EXAMPLE 1

For every 8 tickets sold, a club earns $4. Make a table for 0, 1, 2, and 3 batches. Plot (tickets, dollars), label axes, and interpret (24, 12).

(0,0), (8,4), (16,8), (24,12); 24 tickets earns $12

Scale both quantities by each batch count; plot horizontal tickets and vertical dollars.

WORKED EXAMPLE 2

For every 7 tickets sold, a club earns $4. Make a table for 0, 1, 2, and 4 batches. Plot (tickets, dollars), label axes, and interpret (28, 16).

(0,0), (7,4), (14,8), (28,16); 28 tickets earns $16

Scale both quantities by each batch count; plot horizontal tickets and vertical dollars.

02 · PRACTICE

Your turn

Work in order. Start with the foundations, then build toward explanation and application.

For every 7 tickets sold, a club earns $4. Make a table for 0, 1, 2, and 2 batches. Plot (tickets, dollars), label axes, and interpret (14, 8).
For every 3 tickets sold, a club earns $3. Make a table for 0, 1, 2, and 5 batches. Plot (tickets, dollars), label axes, and interpret (15, 15).
For every 8 tickets sold, a club earns $3. Make a table for 0, 1, 2, and 2 batches. Plot (tickets, dollars), label axes, and interpret (16, 6).
For every 8 tickets sold, a club earns $7. Make a table for 0, 1, 2, and 4 batches. Plot (tickets, dollars), label axes, and interpret (32, 28).
For every 7 tickets sold, a club earns $7. Make a table for 0, 1, 2, and 2 batches. Plot (tickets, dollars), label axes, and interpret (14, 14).
For every 2 tickets sold, a club earns $2. Make a table for 0, 1, 2, and 4 batches. Plot (tickets, dollars), label axes, and interpret (8, 8).
For every 5 tickets sold, a club earns $5. Make a table for 0, 1, 2, and 5 batches. Plot (tickets, dollars), label axes, and interpret (25, 25).
For every 8 tickets sold, a club earns $7. Make a table for 0, 1, 2, and 7 batches. Plot (tickets, dollars), label axes, and interpret (56, 49).
For every 6 tickets sold, a club earns $6. Make a table for 0, 1, 2, and 6 batches. Plot (tickets, dollars), label axes, and interpret (36, 36).
For every 7 tickets sold, a club earns $4. Make a table for 0, 1, 2, and 6 batches. Plot (tickets, dollars), label axes, and interpret (42, 24).

03 · CHECK

Answers and reasoning

Reveal the teacher answer key

(0,0), (7,4), (14,8), (14,8); 14 tickets earns $8
Scale both quantities by each batch count; plot horizontal tickets and vertical dollars.
(0,0), (3,3), (6,6), (15,15); 15 tickets earns $15
Scale both quantities by each batch count; plot horizontal tickets and vertical dollars.
(0,0), (8,3), (16,6), (16,6); 16 tickets earns $6
Scale both quantities by each batch count; plot horizontal tickets and vertical dollars.
(0,0), (8,7), (16,14), (32,28); 32 tickets earns $28
Scale both quantities by each batch count; plot horizontal tickets and vertical dollars.
(0,0), (7,7), (14,14), (14,14); 14 tickets earns $14
Scale both quantities by each batch count; plot horizontal tickets and vertical dollars.
(0,0), (2,2), (4,4), (8,8); 8 tickets earns $8
Scale both quantities by each batch count; plot horizontal tickets and vertical dollars.
(0,0), (5,5), (10,10), (25,25); 25 tickets earns $25
Scale both quantities by each batch count; plot horizontal tickets and vertical dollars.
(0,0), (8,7), (16,14), (56,49); 56 tickets earns $49
Scale both quantities by each batch count; plot horizontal tickets and vertical dollars.
(0,0), (6,6), (12,12), (36,36); 36 tickets earns $36
Scale both quantities by each batch count; plot horizontal tickets and vertical dollars.
(0,0), (7,4), (14,8), (42,24); 42 tickets earns $24
Scale both quantities by each batch count; plot horizontal tickets and vertical dollars.

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