Outcome 1: I can reason and solve problems involving inverse variation.
Proficiency Targets
Can You Do This?
1.1 I can create equations The student government is planning a
in one variable to describe homecoming dance. They estimate the
cost for the dance will be $300. This cost
inverse relationships
1.2 I can find the constant
of proportionality for
inverse variation
functions.
1.3 I can compare two
inverse variation
functions using tables,
graphs, and rules.
will be split evenly among the people who
attend the dance. Write a rule that shows
cost per person C as a function of the
number of people who attend n.
The student government is planning a fall 1.1.1, p.3
festival. They will charge $5 per person
and estimate that 50 people will attend.
Find and interpret the constant of
proportionality.
Compare the constant of proportionality
1.1.2, p.10
for each of the following inverse variation
models and list them in order from least
to greatest.
1. y = 90
2. x
y
x
5
36
3.
1.4 I can solve inverse
variation equations using
graphs, tables, or
algebraic reasoning.
1.5 I can use algebraic
reasoning to solve for any
variable in a formula with
one term.
Learning
Opportunities
1.1.1, p.3
10
15
20
25
OYO
p.17 #3
p.18 #6
p.16 #1
p.19 #7
18
12
9
7.2
Using the situation from target 1.1, how
many people attended the dance if the
cost per person was $6.25?
1.1.2, p.10
1.2.1, p.26
p.38 #11
Solve the equation
1.2.1, p.26
p.36 #5d,e
T = k · L for H
√H
High Performance
1.6 I can find the new constant of proportionality given a rule of
one function and the transformed graph.
1.1.1, p.10
1.2.1, p.26
Vocabulary List
1. Variation:
11. Diameter:
2. Direct:
12. Lumens:
3. Direct Variation:
13. Line of symmetry:
4. Inverse:
14. Asymptote:
5. Inverse Variation:
15. Multivariable Functions:
6. Proportional:
7. Constant of Proportionality:
8. Function:
9. Power Function:
10. Intensity: