Explanation

Content selection based on maturity and learning sequence ensures smooth progression, promoting continuity of learning experiences.

This helps students build knowledge logically and effectively over time.

Explanation

In Bloom's Taxonomy, Comprehension refers to understanding and interpreting the meaning of information.

It includes skills like summarizing, explaining, and translating ideas into new contexts.

Explanation

Teaching involves direct interaction between a teacher (human) and students.

It contrasts with non-human methods like videos or software, which lack real-time human facilitation.

Explanation

While timeliness is important, it is not considered a core principle of evaluation in education.

Principles focus on evaluation being continuous, objective-based, comprehensive, and used judiciously.

Explanation

Critical thinking begins when students are encouraged to ask questions and challenge ideas.

Questioning helps them analyze information deeply rather than accepting it at face value.

Explanation

Given the equation 6x + 5(3 - 1.4x) = 1.7:

Step 1: Distribute and simplify

6x + 15 - 7x = 1.7

-x + 15 = 1.7

Step 2: Solve for x

-x = 1.7 - 15

-x = -13.3

x = 13.3

Explanation

A pie graph (or pie chart) is divided into sectors, where each sector represents a part of the whole.

The size of each sector corresponds to the proportion of the category it represents.

Explanation

To find the weighted mean:

Step 1: Calculate the weighted sum

Weighted sum = (18_2) + (19_3) + (20_4) + (21_2) + (22_1) + (23_1) + (24*1)

= 36 + 57 + 80 + 42 + 22 + 23 + 24

= 284

Step 2: Calculate the total weight

Total weight = 2 + 3 + 4 + 2 + 1 + 1 + 1

= 14

Step 3: Calculate the weighted mean

Weighted mean = Weighted sum / Total weight

= 284 / 14

= 20.286

Explanation

Given cosx(tan x + cot x):

Step 1: Express tan x and cot x in terms of sin x and cos x

tan x = sin x / cos x

cot x = cos x / sin x

Step 2: Substitute and simplify

cosx(tan x + cot x) = cosx(sin x / cos x + cos x / sin x)

= sin x + cos² x / sin x

= (sin² x + cos² x) / sin x

= 1 / sin x (since sin² x + cos² x = 1)

Step 3: Identify the result

1 / sin x = cosec x

Explanation

Given the quadratic equation x² + 2x - 2 = 0:

Step 1: Apply the quadratic formula

x = (-b ± √(b² - 4ac)) / 2a

Here, a = 1, b = 2, and c = -2.

Step 2: Calculate the roots

x = (-(2) ± √((2)² - 4_1_(-2))) / 2*1

x = (-2 ± √(4 + 8)) / 2

x = (-2 ± √12) / 2

x = (-2 ± 2√3) / 2

x = -1 ± √3