Summary of archived

archived

proves theorems on trapezoids and kites.

1st Grading

Patterns & Algebra

1. illustrates quadratic equations.

2. solves quadratic equations by:

(a)extracting square roots;

(b) factoring;

(c) completing the square; and

(d) using the quadratic formula.

3. characterizes the roots of a quadratic equation using the discriminant.

4. describes the relationship between the coefficients and the roots of a quadratic equation.

5. solves equations transformable to quadratic equations (including rational algebraic equations).

2nd Grading

Patterns & Algebra

1. illustrates quadratic inequalities.

2. solves quadratic inequalities.

3. models real-life situations using quadratic functions.

4. represents quadratic function using:

(a) table of values;

(b) graph; and

(c) equation.

5. transforms the quadratic function defined by into the form .

6.graphs a quadratic function:

(a) domain;

(b) range;

(c) intercepts;

(d) axis of symmetry; and

(e) vertex;

(f) direction of the opening of the parabola.

7. analyzes the effects of changing values of a,h, and k in the equation y=a(x-h)²+ k of a quadratic function on its graph .

8. determines the equation of a quadratic function given:

(a) a table of values;

(b) graph; and

(c) zeros.

3rd Grading

PATTERNS & ALGEBRA AND GEOMETRY

1. illustrates situations that involve the following variations:

(a)direct;

(b)inverse;

(c)joint; and

(d) combined.

2. translates into variation statement a relationship between two quantities given by: (a) a table of values; (b) a mathematical equation; (c) a graph, and vice versa.

3. applies the laws involving positive integral exponent to zero and negative integral exponents.

4. illustrate expressions with rational exponents.

5. simplifies expressions with rational expressions.

6. writes expressions with rational exponents as and vice versa.

4th Grading

GEOMETRY

1. derives the laws of radicals.
2. expressions using the laws of radicals.
3. performs operations on radical expressions.
4. solves equations involving radical expressions.
5. solves problems involving radicals
6. learner identifies quadrilaterals that are parallelograms.

7. determines the conditions that make a quadrilateral a parallelogram.
8. uses properties to find measures of angles, sides and other quantities involving parallelograms.
9. proves theorems on the different kinds of parallelogram (rectangle, rhombus, square).
10. proves the Midline Theorem.
11. proves theorems on trapezoids and kites.
12. solves problems involving parallelograms, trapezoids and kites.
13. describes a proportion.
14. applies the fundamental theorems of proportionality to solve problems involving proportions.
15. illustrates similarity of figures.
16. proves the conditions for similarity of triangles.
16.1 SAS Similarity theorem

16.2 SSS Similarity theorem

16.3 AA Similarity theorem

16.4 right triangle similarity theorem

16.5 special right triangle theorems

Teacher: Melvie Damuag
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