TOPICSOBJECTIVESSEATWORKS/EXERCISES

FIRST QUARTERI. RELATIONS AND FUNCTIONS

II. LINEAR FUNCTIONS

III. QUADRATIC FUNCTIONS

SECOND QUARTERIV. POLYNOMIAL FUNCTIONS

V. EXPONENTIAL AND LOGARITHMIC FUNCTIONS

THIRD QUARTERVI. CIRCULAR FUNCTIONS AND TRIGONOMETRY

FOURTH QUARTERVII. STATISTICS1.1 Define a function.1.2 Differentiate and identify a function from a mere relation given a. The set of ordered pairs b. Graph of the given set of ordered pairs c. Vertical line test d. Equation1.3 Express the given equation in function notation f(x).1.4 Find the value of f(x) given the value of x.1.5 Perform operation on functions: a. Perform addition and subtraction of functions. b. Perform multiplication and division of functions.1.6 Find the composition of functions. a. Evaluate composition of functions.1.7 Identify and cite examples of real life relations involving functions.1.8 Express the given situation as an equation/function notation.1.9 Solve word problems involving functions.

2.1 Define and identify linear functions from equation, table of values and graphs.2.2 Transform Ax + By = C to y form and express it in function notation.2.3 Transform y form of linear function to standard form.2.4 Given f(x) = mx + b, find the slope, trend, intercepts and some points.2.5 Given the graph of f(x) = mx + b, find the slope, trend, intercepts and some points.2.6 Analyze the effects of the slope m and y intercepts b in the graph of linear functions.2.7 Determine f(x) = mx + b given a. slope and y intercepts b. x and y intercepts c. slope and 1 point d. any two points2.8.1 Determine the slopes of parallel lines.2.8.2 Find the equation of the line parallel to another line passing through a given point.2.9.1 Determine the slopes of perpendicular lines.2.9.2 Find the equation of the line perpendicular to another line passing through a given point.

3.1 Define and identify quadratic functions given the equations and table of values.3.2 Rewrite quadratic functions f(x) = x + bx + c to f(x) = (x- h) + k.3.3 Rewrite quadratic functions f(x) = x + bx + c to f(x) = a(x - h) + k.3.4 Rewrite quadratic functions f(x) = a(x h) + k to f(x) = x + bx + c.3.5.1 A. Draw and analyze the changes of a in the graph of quadratic function of the form f(x) = ax B. construct the graph of quadratic functions of the form f(x) = ax where a = 1, a = 2, a = , a = -1, a = -2, a = -. C. analyze the effects of the changes of a in the graph of f(x)= ax. D. determines the line of symmetry and the vertex of each graph.3.5.2. A. construct the graph of quadratic function in the form f(x)=ax+k. B. analyze the effect of the changes of a and k in the graph of f(x)=ax+k. C. determines the line of symmetry and the line of each graph.3.5.3. A. Construct the graph of quadratic function of the form f(x)=a(x-h). B. analyze the effect of the changes of a and h in the graph of f(x)=a(x-h). C. determines the line of symmetry, the vertex and direction of the opening of the graph.3.5.4. A. construct the graph of the quadratic function of the form f(x)=a(x-h)+k.B. analyze the effect of the changes of a, h, and k in the graph of f(x)=a(x-h)+k.C. determines the line of symmetry, the vertex and direction of the opening of the graph.3.6. a. determine the function whose movement is being described given f(x)= ax.B. describes the movement of the graph given the function.3.7. Find the zeros of the functions and the roots of the related quadratic and find the roots of quadratic functions.A. by factoring methodB. by quadratic formulaC. by completing the squaresC.1. a=1C.2. a=13.8. Derive the quadratic function givenA. zeros of the functionB. by quadratic formulaC. table of values or set of ordered pairsC.1. when one or more of the ordered pairs have 0 as x and / or y.C.2 when the given ordered pairs have no 0 as values of x or y3.9. Solve word problems involving quadratic functions.

4.1 identify polynomial function from the given set of relations and determine its degree.4.2. Evaluate polynomial functions.4.3. Find the quotient and remainder of polynomials by synthetic division when p(x) is divided by (x-c)4.4. Write the Division Algorithm for polynomials given a certain division problem.4.5. Illustrate the use of Remainder Theorem and find the value of P(x) for x=k by synthetic Division and Remainder Theorem4.6 Find the value of the missing term of a polynomial to meet the given condition.4.7. Illustrate the use of the Factor Theorem and determine if the given condition.4.8. Find the value of the missing term of a polynomial which the binomial is a factor of the given polynomial.4.9. Find the zeros of Polynomial Function of degree greater than 2 by Factor Theorem.4.10. Find the zeros of polynomial function of degree greater than 2 by factoring.4.11. Find the zeros of polynomial function of degree greater than 2 by synthetic division.4.12. Find the zeros of polynomial function of degree greater than 2 by any method.4.13. Describe the properties of polynomial function of degree greater than 2 by its graph.

5.1 Identify certain relationships in real life which are exponential and determine whether given table of ordered pairs is exponential or not.5.2 Describe some properties of the exponential function f(x) = ax, where a>15.3 Describe some properties of the exponential function f(x) =ax, where 0