In this domain, students should be able to use ratios, rates, proportions, and percents in real-life applications. Scale drawings are also a component of this domain. The coordinate plane will be used in this domain to graph rates. The standards for this domain are:
Analyze proportional relationships and use them to solve real-world and
mathematical problems.
Analyze proportional relationships and use them to solve real-world and
mathematical problems.
- CCSS.Math.Content.7.RP.A.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 1/2 mile in each 1/4 hour, compute the unit rate as
the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per
hour. - CCSS.Math.Content.7.RP.A.2
Recognize and represent proportional relationships between quantities. - CCSS.Math.Content.7.RP.A.2a Decide whether two
quantities are in a proportional relationship, e.g., by testing for equivalent
ratios in a table or graphing on a coordinate plane and observing whether the
graph is a straight line through the origin. - CCSS.Math.Content.7.RP.A.2b Identify the constant
of proportionality (unit rate) in tables, graphs, equations, diagrams, and
verbal descriptions of proportional relationships. - CCSS.Math.Content.7.RP.A.2c Represent
proportional relationships by equations. For example, if total cost t is
proportional to the number n of items purchased at a constant price p, the
relationship between the total cost and the number of items can be expressed as
t = pn. - CCSS.Math.Content.7.RP.A.2d Explain what a point
(x, y) on the graph of a proportional relationship means in terms
of the situation, with special attention to the points (0, 0) and (1, r)
where r is the unit rate. - CCSS.Math.Content.7.RP.A.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.
![Picture](/uploads/2/4/3/0/24306539/6538205.jpg)
Funbrain has some great games to practice percent applications. Try this penguin game to test your tipping skills!
![Picture](/uploads/2/4/3/0/24306539/2060417.jpg)
Students should be able to identify the four quadrants and graph ordered pairs on a coordinate plane. Click on the graph to play a coordinate plane game!