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Instructional Plan Template
Mathematics Governor’s Institute
2006
(Download as Microsoft Word
Documents: Instructional
Plan, Best Buy, Blink 365, Matchbox Math, Memory, Proportions
with People)
Names of group members:
Tom Dowd
Denise Benz
Jennifer Repetto
Sharon McNew
Michael Wonderling
Topic/Theme:
Proportions and Ratios In
the Real World
Level: (7th
Grade)
Time Element: (Two
50 minute periods)
NCTM Standards Addressed:
Standard - Apply appropriate techniques, tools, and formulas
to determine measurements
Expectations - solve problems involving scale factors, using
ratio and proportion; solve simple problems involving rates and derived
measurements for such attributes as velocity and density.
PA Math Standards Addressed:
- 2.1.8.D Apply ratio and proportion to mathematical
problem situations involving distance, rate, time and similar triangles.
- 2.7.8.D Compare and contrast results from observations and mathematical models.
- 2.8.8.C Create and interpret expressions, equations or inequalities that model problem situations.
- 2.8.8.D Use concrete objects to model
algebraic concepts.
Math Assessment Anchors
Addressed:
M7.A.2.2
M7.A.3.1
M7.B.2.2.
M7.D.2.2
M7.E.4.1
Objectives: Students will be able to
- Review
for the units on proportion rates and ratios by:
- Write
ratios to compare quantities
- Solve for
a variable in a given proportion
- Use
proportions to determine if two quantities are equivalent
- Calculate
and or apply unit rates or unit prices.
- Select
and or use ratios or proportions to solve problems.
- Interpret
and or apply scales shown on models.
- Determine
and or apply an appropriate scale for reduction or enlargement
Instructional Strategies and
Plan (include strategies used to help different types of learners, i.e.
auditory, visual, etc):
- Class will begin with a pre-class
activity on how to write and solve proportions.
- Students will rotate through the
five math stations in small groups over the two day time period.
- Station 1 Best Buy – Students will solve proportion word problems.
- Station 2 Proportioning With People- Student
will locate heights and location of tall buildings and compare their own
height to the building using proportions.
- Station 3 MindYour Memory – Matching game using proportions.
- Station 4 Matchbox Math – Students will use a scale model to determine
actual dimensions of a life sized car.
- Station 5 Blink 365 – Students will determine the frequency and amount
of time in which they spend doing various activities, for example,
blinking.
Materials/Resources:
- Stopwatch
- Activity sheets
- Rulers
- Tape measures
- Memory cards
- Calculators
- Computer
- Matchbox cars
Interdisciplinary
Connections:
·
·
Technology - calculators, computers,
and internet
·
Other – geography, history,
architecture, consumer science
Assessment Strategies:
·
Formative Evaluation
(checking student understanding during the lesson): Teacher will monitor the participation of
students by physically roaming the classroom.
Teacher will intervene when necessary.
·
Summative Evaluation (How
will it be determined that the objectives were achieved?): Students will receive and fill out an exit slip at the end
of the activity to determine how ratios and proportions are used in the real
world.
Students would also take a unit test.
Correctives/Remediation: Students will depend on peer learning and the teacher for
modeling and instruction.
Extensions/Enrichment: Enrichments are provided with each activity.
Special Accommodations
(special needs students)
·
Description of the Special
Needs student selected: Male student with dyslexia
which severely affects his reading and writing performance. He has small and large motor deficiencies and
has excellent math skills.
·
Accommodations to use with
this student: Students are working with
partners and small groups which will allow the student to bypass his
deficiencies in language arts to be successful in this activity. Students will use the KNWS method to assist
in solving complicated word problems.
KEYWORD: PROPORTIONS
Name ____________________________________
Best Buy
Directions: Solve the following word problems using proportions.
Ex: 1 7
_______ = _______
8 N N = 56
Make sure you show all of your work on the worksheet.
- A handbag is being sold at Macy’s at $17.99. This is 30% off the original price. What is the original price of the handbag?
- Ted and his family ate at Perkins. Five people were sitting at the table. The bill was totaled at $51.87. What would the tip come to if the tipping rate is 15%?
- 73 boys and girls ran in the race on Saturday. 22 were boys. What is the percentage of girls in the race?
* Extension
– Come up with your own word problem that involves calculating tips or
sales. Complete this activity on the
back of this paper.
Name ________________________________
Proportioning With People
- Predict
the height of the
- Predict
how many times you could stack yourself to equal the height of the
Ex: A tree is 15 ft tall. Mrs. Simpson is 5 ft tall. How many Mrs. Simpsons would it take to equal the height of the tree? 15÷5 = 3 Mrs. Simpsons.
15ft 3 Mrs. Simpsons
__ = ___
5ft 1 Mrs. Simpson
- Use www.greatbuildings.com/gbc.html to locate the following buildings then fill in the chart. (Remember to convert your height to feet. Ex: 5ft 2 in. is 5.17 ft.)
Show all work on a piece of paper.
|
Building |
Country |
Height (ft) |
# of you |
|
|
|
|
|
|
Taj Mahal |
|
|
|
|
|
|
|
|
|
The Great Pyramid
at |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
*Extension – Locate the heights of some buildings of your choice and complete the chart.
Name ______________________________________
Mind Your Memory
Directions: Four players. Shuffle the cards and arrange them face down. Each player turns over two cards at random. If the cards are not equivalent the player turns them back over, and the next player takes his or her turn. If the cards are equivalent, the player keeps the pair and takes another turn. The player with the most cards at the end of the game wins.
|
1:2 |
3:6 |
4:5 |
|
2:3 |
|
|
6:5 |
|
14/16 |
7:8 |
|
1:3 |
|
|
5:6 |
|
45:50 |
60:4 |
15:1 |
|
1:4 |
20:80 |
3:2 |
|
5:8 |
30:48 |
|
11:5 |
|
2:5 |
|
7:3 |
21:9 |
|
6:8 |
3:4 |
8:9 |
|
|
49:70 |
Name ____________________________________
Matchbox Math
Directions: A given
matchbox car contained the following scale:
Actual cm ÷ 2.54 = actual inches
|
Car or Car Part |
Model Measurement (cm) |
Actual Measurement (cm) |
Actual Measurement (in) |
|
Total Length |
|
|
|
|
Total width |
|
|
|
|
Front Door |
|
|
|
|
Tire |
|
|
|
|
Total Height |
|
|
|
- A rear view mirror inside the actual vehicle is 11in wide. How wide would the mirror be inside the matchbox car?
________________________________________________
- A tail light on this vehicle is 8˝ in. tall. How tall would the taillight be on the matchbox car?
________________________________________________
Name __________________________________
Blink 365
Directions: With a partner, count the number of times your partner blinks in one minute. Use the stopwatch.
- Name_____________________ No. of blinks ____________
- Using this information, calculate the number of times you and your partner blink in 1 hour, 1 day, 1 year, and a lifetime of 75 years.
1 hour ____________________________
1 day _____________________________
1 year _____________________________
75 years ___________________________
- Interview your partner and find out how many hours per day are spent doing the following activities:
# of hours watching TV _______________________
# of hours of phone usage __________________________
# of hours of internet usage ________________________________
# of hours of sleeping _______________________________
# of hours studying ______________________________
Using the above information, calculate the number of hours spent on each activity in one week, 1 year, and a lifetime of 75 years. Write in your answers below.
Extension Activity: Choose one or two activities of your own and do the same calculations you previously completed.
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