Lesson Plan for Comparing and Ordering Rational Numbers
Related Standard (Source): Indiana Academic
Standards – Math (Number): 7.1.2 and 7.1.7
Standards: 7.1.2 – Compare and order rational and common irrational
numbers and place them on a number line.
7.1.5 – Convert terminating decimals into reduced fractions.
TOPIC (key point; concept; skill): Comparing and Ordering Rational
OBJECTIVE (TSWBAT + performance, conditions, criteria): In order to show
an understanding of how to
compare and order rational numbers, TSWBAT correctly order a set of 8 Popsicle
sticks with a partner.
MATERIALS: Teacher: white board, dry erase markers, math book, writing
utensils, a set of 4 Popsicle sticks for
Student: writing utensils, math book, notebook paper
I. PROCEDURES (teacher and student tasks)
A. Beginning of lesson
1. Classroom management two-part step (to have students ready to learn, in
listening position, where they
need to be): After students have entered the classroom, the teacher will ask the
students to take out the
previous day’s homework. The class will then go through the homework together
and students will grade
their own work. If students are still straggling, the teacher will quickly and
quietly ask those students to
stay with the class.
2. Statements to initiate or set the stage for the lesson; motivation; overview;
or establish and atmosphere:
The teacher will explain that hopefully by now students are beginning to get a
good feel for fractions. As
we progress through the mathematics world, there are many more helpful uses for
math. Today, we will
learn to compare and order fractions so that we can make sense out of these
B. Instruction Step:
*=Modifications (strategies to meet individual, special needs at a particular
1. While reviewing the homework, the teacher will make
sure that students have an understanding of the
least common multiple. If there are problems, the teacher will make sure to
allow time to review some
of these problems.
2. The teacher will write and explain the definition of a
common denominator and the least common
denominator. Students will write these definitions and other notes during the
class period in their
notebooks. The teacher will explain how to find a common denominator for two
3. The teacher will present the students with two
fractions and then show students how to order them.
While showing this example, the teacher will write the steps on the board.
4. The students will then complete a couple of examples on
5. The teacher will explain that the real power in
comparing fractions comes when we compare ratios.
The teacher will present an example and have the students compare the ratio. The
students will then
complete two more examples on their own.
6. The teacher will then present the students with three
more examples that require students to order a
combination of fractions and decimals.
7. The teacher will then proceed to the closure and
8. The teacher will explain the homework assignment.
C. Closure statement (brief lesson review, summary,
doesn’t have to be the last step if something is going to be
made or an activity will follow): The students will complete an activity that
requires them to order 8 given
popsicle sticks in groups. This will also serve as the assessment.
II. ASSESSMENT (how is objective met by students:
observation, written work, presentation, quiz, etc): Each
student will receive a set of 4 Popsicle sticks. Students will be paired with
the student next to them. The students
will work together to order the 8 total Popsicle sticks from least to greatest.
During this activity, the teacher will
walk around and observe the students working. If a group seems to be struggling,
the teacher will assist that group.
In addition, the teacher will note these groups and observe them for changes in
the following days; if problems still
exist, the teacher will provide remediation.
III. EXTENSION AND REMEDIATION (what will be done
beyond lesson; strategies for those who need
further instruction, assistance):
A. Individual Extension: If more time is available, the teacher will ask
students to write 5 different everyday
uses for comparing and ordering fractions.
B. Group Extension: If the entire class finishes the lesson early, the teacher
will present the students with story
problems and other examples that require students to compare and order
C. Individual Remediation: For an individual student, the teacher will assist
the student by simplifying a
fraction step-by-step while placing this work next to the steps in the student’s
D. Group Remediation: If the entire class does not understand, the teacher will
follow the same steps as for
individual remediation and work through a problem with the class.
IV: HOMEWORK ASSIGNMENT(S): Pg. 230 #14 – 42 even