# 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

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 , the temperature dropped to 20º, then rose to 75º and finally dropped to . 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.

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. d. - e.

2. Find the area of a square where side has the indicated length:

a. 7 cm b. 12 m c. 100 mm d. cm e.

D. Present the following problems.

1. Suppose a square has an area of 100m. What is the length of each side?

2. The floor of a square room has an area of 49m. Find the length of each side of the floor.

3. One square instrument panel has an area of 169 cm. Another square panel has an area of 121 cm. 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.

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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