Tables, Graphs & Equations
Pre - Requisite / Change mixed numbers to fractionsDivide mixed numbers
Standard / 7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks ½ mile in each ¼ hour, compute the unit rate as the complex fraction ½ / ¼ miles per hour.
7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54cm. Its length is 6cm. What is its width?
CC Lesson / 7.1.15
Student Learning Goal /
- Students use equations and graphs to represent proportional relationships arising from ratios and rates involving fractions.
- Students interpret what points on the graph of the relationship mean in terms of the situation or context of the problem.
Media
HW / #53
Spiral Review #14
WKSP
Tables, Graphs & Equations
Mother’s 10K Race
Sam’s mother has entered a 10K race. Sam and her family want to show their support for their mother, but they need to figure out where they should go along the race course. They also need to determine how long it will take her to run the race so that they will know when to meet her at the finish line. Previously, Sam’s mother ran a 5K race with a time of hours. Assume her mother will run the same rate as the previous race in order to complete the chart.
Time(H, in hours) / Distance Run
(D, in km)
0 / 0
1
2
What is Sam’s mother’s average rate for the entire race (based on her previous race time)? /
According to the graph, is distance proportional to time? How do you know?
What does the point (2, ) mean?
What is the constant of proportionality?
Write an equation that models the data in the chart as well as the graph.
D = H
Exercise:
After taking a cooking class, you decide to try out your new cooking skills by preparing a meal for your family. You have chosen a recipe that uses gourmet mushrooms as the main ingredient. Using the graph below, complete the table of values and answer the following questions.
Is the relationship proportional? How do you know?
Which ordered pair represents the unit rate? What does it mean?
What would be the cost of pounds of mushrooms? /
What is the unit rate for cost per pound?
If you could spend $10 on mushrooms, how many pounds could you buy?
What is the constant of proportionality?
Write an equation to model this data:
If you could spend $2.50 on mushrooms, how many pounds could you buy?
What would be the cost of 3 pounds 4 ounces of mushrooms?
Name: ______Date: ______
Pre-AlgebraExit Ticket
The graph shows that in 3 days the water rose ___ inches.
Is the water rising at a constant rate?
Identify a point on the line and explain what it means in the context of the problem.
What is the unit rate?
Star the point on the graph that represents the unit rate.
Name: ______Date: _____
Pre-AlgebraHW #53
Review:
2. / The table below represents the relationship of the amount of snowfall (in inches) in 5 counties to the amount of time (in hours) of a recent winter storm.Determine if y is proportional to x. Justify your answer.
3. / Rewrite by collecting like terms: