Download TEKS Lesson Plan/Unit Plan - Texarkana Independent School District

Focus Plan
Texarkana Independent School District
GRADING
PERIOD:
Teacher:
2nd 6 Weeks
PLAN CODE:
Winton
Course/subject:
Mathematics
Grade(s):
8
Time allotted
for instruction:
1 ½ - 2 hours
Title:
Working with Ratios, Rates, and Unit Rates
Lesson TOPIC:
Ratios, Rates, Unit Rates
TAKS Objective:
Objective 2: The student will demonstrate an understanding of
patterns, relationships, and algebraic reasoning
FoCUS TEKS and
Student Expectation:
(3) Patterns, relationships, and algebraic thinking. The student
identifies proportional relationships in problem situations and solves
problems. The student is expected to:
(B) estimate and find solutions to application problems involving
percents and proportional relationships such as similarity and rates
(1) Number, operation, and quantitative reasoning. The student
understands that different forms of numbers are appropriate for
different situations. The student is expected to:
(B) select and use appropriate forms of rational numbers to solve
real-life problems including those involving proportional
relationships
Supporting TEKS and
Student Expectations:
Concepts
Ratio
Rate
Unit Rate
Enduring Understandings/Generalizations/Principles
The student will understand that
A ratio is the comparison of two numbers by division. The ratio of 2 to 3 can
be stated as 2 out of 3, 2 to 3, 2 : 3, or 2/3.
A rate is a ratio of two measurements having different units. In a percent
proportion, the ratio of a number to 100.
A unit rate is a rate with a denominator of 1.
 Division of Curriculum and Instruction  School Improvement Department  Texarkana Independent School District
I.
Sequence of Activities (Instructional Strategies)
A.
Focus/connections
The beginning of class will be spent working on a survey. Divide the class in half as they enter the
classroom. After class has been divided, ask for a volunteer to be the group recorder for each group.
After the recorders have been determined, give the each a copy of the Class Survey Worksheet. The
recorder will ask the questions on the worksheet and record the results for their half of the class.
B.
Instructional activities
(demonstrations, lectures, examples, hands-on experiences, role play, active
learning experience, art, music, modeling, discussion, reading, listening, viewing,
etc.)
After time has been given to complete the survey, ask the recorders to give you some of the numbers
involved. Write the different ratios given on the board. Discuss the survey results. Tell your class that in
this example, a comparison was made. A comparison of two numbers is called a ratio. There are several
ways a ratio can be expressed: 4 to 5, 4: 5, 4 out of 5, or 4/5. Survey the class again with the following
question: How many of you like to drink Pepsi? Count the number of hands raised and the number of
hands not raised. Demonstrate the different formats the ratio from this survey could produce. Next
discuss rates. A rate is a ratio which compares two measurements with different units. For example,
miles to gallons, cents to pounds. Give the class the following scenario: The Candy Factory at the mall
sells candy by the pound. Suppose you spend $10 on 2.5 pounds of candy. The rate $10 / 2.5 pounds
compares the money spent to the number of pounds of candy. The unit rate for this problem could be
set up as follows: $10 / 2.5 = x / 1. This would let us know the amount 1 pound of candy would cost.
C.
Guided activity or strategy
Pair each student with a peer and let them work together to reinforce the lesson objectives by completing
the Practicing with Rates, Ratios, and Unit Rates Worksheet. Circulate around the room and assist
students as needed. After time has been given for pairs to complete the activity, go over answers with the
class. Answer any questions that may arise. Teacher will then give each student the worksheet titled:
Working with Ratios, Rates, and Unit Rates Worksheet.
D.
Accommodations/modifications
Students requiring modifications may be paired with a peer to complete the guided activity.
E.
II.
Enrichment
STUDENT PERFORMANCE
A.
Description
Students will complete the Working with Ratios, Rates, and Unit Rates Worksheet independently.
iii.
B.
Accommodations/modifications
C.
Enrichment
Assessment of Activities
A.
Description
Individual grades may be taken on the Working with Ratios, Rates, and Unit Rates Worksheet.
B.
Rubrics/grading criteria
Grades may be taken based on the Working with Ratios, Rates, and Unit Rates Answer Key/Grading
Rubric.
 Division of Curriculum and Instruction  School Improvement Department  Texarkana Independent School District
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IV.
C.
Accommodations/modifications
D.
Enrichment
E.
Sample discussion questions
In what real world setting do you see ratios?
Why is it important to know how to calculate unit rates?
TAKS Preparation
A.
Transition to TAKS context
The teacher will lead the class in a discussion of how rate and ratio problems may look in test format.
The teacher will place the TAKS questions below on the board/overhead.
B.
Sample TAKS questions
1. The results of a random survey showed that 42 out of 80 people plan to vote for Mr. Vu for city council.
Which is the best prediction of the total number of votes he will receive if 2,000 people vote?
A. 25
B. 50
C. 120
D. 1,000
2. Vanita can read an average of 18 pages during a 30-minute reading period at school. At this rate,
approximately how long will it take her to read a 380-page book?
F. 11 h
G. 21 h
H. 23 h
J. 42 h
V.
Key Vocabulary
Rate, ratio, unit rate
VI.
Resources
A.
Textbook
Glencoe Mathematics ~ Applications and Connections Course 3
Chapter 3: Using Proportion and Percent
 Ratios and Rates, pp. 104 – 106
 Ratios and Percents, pp. 107 - 110
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B.
Supplementary materials
Class Survey Worksheet
Practicing with Rates, Ratios, and Unit Rates Worksheet
Practicing with Rates, Ratios, and Unit Rates Answers
Working with Ratios, Rates, and Unit Rates Worksheet
Working with Ratios, Rates, and Unit Rates Answer Key/Grading Rubric
C.
Technology
Students may be taken to the computer lab to utilize the following web sites:
http://www.algebralab.org/practice/practice.aspx?file=Algebra1_2-8.xml
http://www.321know.com/rat62ax2.htm (activity at bottom of page)
http://www.321know.com/rat62bx2.htm (activity at bottom of page)
 Division of Curriculum and Instruction  School Improvement Department  Texarkana Independent School District
VII.
follow up activities
(reteaching, cross-curricular support, technology activities, next lesson in sequence, etc.)
A good follow up lesson would be one pertaining to solving proportions.
VIII.
Teacher Notes

Point out to students the many uses of ratios and rates in everyday life. Some examples include
the prices in stores, the speed of cars and airplanes, and the records of sporting events.

Encourage students to think, estimate, and predict rates based on a given rate, such as "how
much will 10 pencils cost if 3 pencils cost $1.25"? Have them discuss different strategies for
solving the problem.

Using facts about money, time, and distances provides meaningful experiences about unit rates
and ratios in general.
 Division of Curriculum and Instruction  School Improvement Department  Texarkana Independent School District