1. Math I Lesson Plan: Solving Problems Involving Signed Numbers and Square
Roots
Competency B 2.5 use knowledge related to signed numbers and square roots in
problem-solving
Time Frame: 2 sessions
Objectives:
At the end of the sessions, the students must be able to:
1. use knowledge related to signed numbers and square roots in problem
solving
2. analyze and solve problems on signed numbers and square roots.
Development of the Lesson:
A. Begin by giving a review/drill of operations involving signed numbers. Recall
the value stated on page 34-35, 39, 41, and 45. Show an example for each case
B. Present the following problems.
1. From the temperature of 42° , the temperature dropped to 20º, then rose to
75º and finally dropped to 1° . What was the temperature after the given
changes?
2. Angelo weighed 140 kilograms. Find Angelo’s weight after the series of
changes: a loss of 5 kg, a gain of 3 kg, a loss of 10 kg, a gain of 7 kg and a
loss of 15 kg.
3. The population of town MASIKAP increased by 11,560 in ten years. What
was the average increase per year?
Group the students by five. Ask them to work on the above-mentioned problems.
Remind the students to work as a group. Give them time to discuss among
themselves. While the students are working go around to give assistance if
necessary.
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2. Discuss with the class the correct solutions for these problems following the steps
in solving a problem.
1. Read and analyze the problem
2. Plan the solution
3. Carry out the plan
4. Check & verify the solution
Ask the students to answer the selected problems on pages 74-75.
C. Before going over the problem involving square roots, review the idea of square
root by going over the following exercises:
1. Finding the square roots of the following numbers:
a. 36 b. 64 c. ± 121 d. - 169 e. 225
2. Find the area of a square where side has the indicated length:
a. 7 cm b. 12 m c. 100 mm d. 10 cm e. 24
D. Present the following problems.
1. Suppose a square has an area of 100m 2 . What is the length of each side?
2. The floor of a square room has an area of 49m 2 . Find the length of each side
of the floor.
3. One square instrument panel has an area of 169 cm 2 . Another square panel
has an area of 121 cm 2 . How much longer is one side of the larger square?
E. Let the students answer the exercises on page 74 in pairs. Ask one pair to
discuss their solutions and answer with another pair. While the students are
working go around to give assistance if necessary.
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3. Suggested Teaching Strategies:
1. Provision for Cooperative Learning
- Have the students work in small groups to create word problems that can
be solved by adding, subtracting, multiplying or dividing signed numbers.
After the problems have been created ask the groups to trade problems in
some orderly manner to check if the problems have solutions.
2. Provision for Multiple Intelligences
- Give the students practice in solving problems involving signed numbers
related to a story and using play money.
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