UNIQUE FRIENDS SCHOOLSLet's start with a simple question and gradually move on to more technical ones. Since we're revising previous topics for JSS 3 students, we'll cover a range of concepts. Here are a few examples:
Example 1: Simple Algebra Question: Solve for x: 2x + 5 = 11
Step 1: Write down the equation (Narration: We start by writing down the given equation, which is 2x + 5 = 11. Our goal is to isolate the variable x.)
2x + 5 = 11
Step 2: Subtract 5 from both sides (Narration: To get rid of the constant term +5, we subtract 5 from both sides of the equation. This keeps the equation balanced.)
2x = 11 - 5 2x = 6
Step 3: Divide both sides by 2 (Narration: Now, we need to get x on its own. To do this, we divide both sides of the equation by 2, which is the coefficient of x.)
x = 6 ÷ 2 x = 3
Answer: x = 3
Example 2: Geometry Question: Find the perimeter of a rectangle with a length of 6 cm and a width of 4 cm.
Step 1: Recall the formula for perimeter (Narration: The perimeter of a rectangle is the distance around it. We can use the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the width.)
P = 2(l + w)
Step 2: Plug in the values (Narration: We substitute the given values into the formula: l = 6 cm and w = 4 cm.)
P = 2(6 + 4) P = 2(10)
Step 3: Calculate the perimeter (Narration: Now, we calculate the value of P by multiplying 2 by the sum of the length and width.)
P = 2 x 10 P = 20
Answer: The perimeter of the rectangle is 20 cm.
Example 3: Fractions Question: Simplify the fraction: 6/8
Step 1: Find the greatest common divisor (GCD) of 6 and 8 (Narration: To simplify a fraction, we need to find the greatest common divisor of the numerator and denominator. The factors of 6 are 1, 2, 3, and 6, while the factors of 8 are 1, 2, 4, and 8. The greatest common divisor is 2.)
GCD(6, 8) = 2
Step 2: Divide both the numerator and denominator by the GCD (Narration: Now, we divide both the numerator and denominator by the GCD to simplify the fraction.)
6 ÷ 2 = 3 8 ÷ 2 = 4
Simplified fraction: 3/4
Answer: The simplified fraction is 3/4.
Example 4: Word Problem Question: A bakery sells 250 loaves of bread per day. If each loaf costs ₦50, how much money does the bakery make in a day?
Step 1: Identify the given information (Narration: We are given that the bakery sells 250 loaves of bread per day, and each loaf costs ₦50. We need to find the total amount of money the bakery makes in a day.)
Number of loaves sold = 250 Price per loaf = ₦50
Step 2: Calculate the total amount of money (Narration: To find the total amount of money, we multiply the number of loaves sold by the price per loaf.)
Total amount = Number of loaves sold x Price per loaf = 250 x ₦50 = ₦12,500
Answer: The bakery makes ₦12,500 in a day.
Example 5: More Technical Question Question: Solve the equation: x^2 + 4x - 8 = 0
Step 1: Factor the quadratic equation (Narration: We can factor the quadratic equation x^2 + 4x - 8 = 0 into (x + 6)(x - 2) = 0, but since it doesn't factor easily, we'll use the quadratic formula instead.)
x = (-b ± √(b^2 - 4ac)) / 2a
Step 2: Identify the values of a, b, and c (Narration: In the equation x^2 + 4x - 8 = 0, a = 1, b = 4, and c = -8. We'll substitute these values into the quadratic formula.)
a = 1, b = 4, c = -8
Step 3: Plug in the values into the quadratic formula (Narration: Now, we substitute the values of a, b, and c into the quadratic formula.)
x = (-(4) ± √((4)^2 - 4(1)(-8))) / 2(1) x = (-4 ± √(16 + 32)) / 2 x = (-4 ± √48) / 2
Step 4: Simplify the expression (Narration: We simplify the expression inside the square root and solve for x.)
x = (-4 ± √(16 x 3)) / 2 x = (-4 ± 4√3) / 2 x = -2 ± 2√3
Answer: x = -2 + 2√3 or x = -2 - 2√3
These examples demonstrate the step-by-step process for solving various types of math problems, from simple algebra to more technical questions.