Lesson 3.43.4 Small Group · Group 1
Group 1 · Set BSecond form · new problems, same idea
Learning target With my small group, I can graph the values from a ratio table as points on the coordinate plane — one step at a time, with support.
Remember3.4 Small Group · Group 1
Each row of a ratio table becomes a point (x, y). Points from equivalent ratios form a straight line through the origin. Each row of a ratio table is an ordered pair (x, y) we can plot on a coordinate plane.
Words: Coordinate plane (Plano cartesiano)Ordered pair (Par ordenado)Linear pattern (Patrón lineal)Proportional (Proporcional)Origin (Origen)
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1Complete each step, then write the final answer.
A recipe uses 4 cups of water for every 1 cup of rice. Rice is x and water is y. What is the y-value of the point for 2 cups of rice?
Show your workHint Each cup of rice needs 4 cups of water. Find 2 × 4.
Final answer: -
2Complete each step, then write the final answer.
Each pack has 3 juice boxes. Packs are x and juice boxes are y. What is the y-value of the point for 4 packs?
Show your workHint Multiply the packs by 3.
Final answer: -
3Complete each step, then write the final answer.
A car goes 30 miles each hour. Hours are x and miles are y. What is the y-value of the point for 3 hours?
Show your workHint Each hour adds 30 miles. Multiply the hours by 30.
Final answer: -
4Complete each step, then write the final answer.
The point (4, 6) is on a graph of equivalent ratios. The line goes through (0, 0). What is the x-value of the point with y = 12?
Show your workHint What do you multiply 6 by to get 12? Do the same to 4.
Final answer:
Explain your thinkingWhy does the graph of pizzas and slices go through (0, 0)? Why do the points make a straight line?
Sentence starter The line goes through (0, 0) because ___ pizzas have ___ slices. · The points make a straight line because each pizza adds ___.