activity sheet for math students

7/28/2019 Activity Sheet for Math Students

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SAMAR STATE UNIVERSITY

Catbalogan City, SamarTelephone Numbers: (055)-542-8394/ (055)-251-2139Website: www.ssu.edu.ph

A C T I V I T Y S H E E T

Name: ________________________________________ Score: _________________

Year and Section: ______________________________ Date: _________________

Instructor/Professor: Cynthia C. Honrales

Please check the appropriate box.

Subject:

Math 201 and 204 (Analytic Geometry)_______________________________

Type of Activity:

Quiz ___ Exercise ___ Group work ___

Others, please specify: _____________________________________________

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Activity Title: The Cartesian Coordinate System____________________________

Learning Target/s: To plot points on the coordinate plane.___________________

I. Plot the following points on the Cartesian coordinate plane. Connect all the points

to form a figure. What geometric figure is formed in each number? Write youranswer on the blank.

1. (7, 6), (7, 2), (11, 2) ________________________________________________________

2. (-8, 7), (-2, 7), (-11, 1), (-5, 1) _________________________________________________

3. (-3, -1), (-8, -10), (-3, -10) ____________________________________________________

4. (5, -2), (9, -2), (2, -5), (12, -5), (5, -8), (9, -8) _____________________________________

5. (-14, -4), (-12, -4), (-15, -5), (-11, -5), (-15, -7), (-11, -7), (-14, -8), (-12, -8) _____________


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SAMAR STATE UNIVERSITYCatbalogan City, SamarTelephone Numbers: (055)-542-8394/ (055)-251-2139Website: www.ssu.edu.ph


Name: ________________________________________ Score: _________________




Subject:

Math 201 and 204 (Analytic Geometry)_________________________________

Type of Activity:



============================================================

Activity Title: The Distance Formula_______________________________________

Learning Target/s: To find the distance between two given points using the distance

formula.________________________________________________

I. Find the distance between two points using the distance formula.1. (2, 7) and (6, 9)

2. (-6, 4) and (-2, -3)

3. (2, - 5), (3 2, 45 )


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SAMAR STATE UNIVERSITYCatbalogan City, SamarTelephone Numbers: (055)-542-8394/ (055)-251-2139

Website: www.ssu.edu.ph


Name: ________________________________________ Score: _________________




Subject:Math 201 and 204 (Analytic Geometry)_______________________________

Type of Activity:



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Activity Title: Slope of a Line___________________________________________

Learning Target/s: To find the slopes of given lines._________________________

I. Use a graphing paper to draw the graph of each problem. Show your solution.

1. Find the slope of a line joining the points (8/3, 1/3) and (5/4, 13/4).2. Prove that the points (-1, 6), (-3, 4) and (2, -1) are vertices of a right triangle.

3. Prove that the points (5, 3), (-8, -5), (-6, 6) and (7, 2) form a parallelogram.


4/17



Name: ________________________________________ Score: _________________




Subject:

Math 201 and 204 (Analytic Geometry)______________________________

Type of Activity:



============================================================

Activity Title: Curve Tracing___________________________________________

Learning Target/s: To trace a curve by point plotting_______________________

I. Complete the table below using the equation y = x3

-8. Show your solution and

trace the curve.

x -4 -3 -2 -1 0 1 2 3 4

y

II. What are the x and y intercepts of the curve?


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Name: ________________________________________ Score: _________________




Subject:


Type of Activity:



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Activity Title: Intercepts_______________________________________________

Learning Target/s: To find the x and y intercepts of a curve_using synthetic division

I. Use synthetic division to find the intercepts of the following curves:

1. y = x3

+ 3x2-10x -24 2. y

2= x

3+ 4x

2-9x -36


6/17



Name: ________________________________________ Score: _________________




Subject:


Type of Activity:



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Activity Title: The Straight Line____________________________________________

Learning Target/s: To find the equations of straight lines_______________________

I. Answer the following and draw the graph of each equation.

1. What is the equation of the x-axis?

2. What is the equation of the y-axis?

3. Find the equation of a line through (1/3, 8) parallel to the x-axis.

4. Find the equation of a line through (4, -9) perpendicular to the x-axis.

5. What is the equation of a line with y-intercept equals -5 and slope equals .

6. Find the equation of a line that passes through (-5, 1) and is parallel to the line

4x8y + 16 = 07. A line passes through (4, 2) and is perpendicular to the line 3x + y + 9 = 0.

Find its equation.


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Name: ________________________________________ Score: _________________




Subject:Math 201 and 204 (Analytic Geometry)______________________________

Type of Activity:



============================================================

Activity Title: The Standard Equation of a Straight Line_______________________

Learning Target/s: To find the equation of a straight line using the intercepts form_

I. Find the equation of a line with1.) a = 4 and b = -7

2.) a = -2 and b = 5

3.) x-intercept equals -7/3 and y-intercept equals 11/2

II. Reduce the following equations to intercept form.

4. 6x + y + 4 = 0

5. 2x + 5y -8 = 0

6. 4xy12 = 0


8/17




Name: ________________________________________ Score: _________________





Type of Activity:



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Activity Title: The Circle__________________________________________________

Learning Target/s: To find the equation of a circle_____________________________

I. Find the equation of a circle with1. center @ (1, 4) and radius equal to 5

2. center @ (-3, 6) and r = 4

3. center @ (-1, 7) and tangent to the line 3x4y + 6 = 04. with (3, 0) and (-2, -4) as ends of diameter


9/17




Name: ________________________________________ Score: _________________





Type of Activity:



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Activity Title: The Conic Sections_______________________

Learning Target/s: To define related terms and to give the properties of each conic.

I. Define the following:1. conic sections

2. parabola

3. ellipse

4. hyperbola

II. Give the properties of each conic section and their corresponding equations.


10/17




Name: ________________________________________ Score: _________________




Subject:Math 213 (Trigonometry)__________________________________________

Type of Activity:



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Activity Title: The Cartesian Coordinate System_____________________________

Learning Target/s: To define related terms and to review the Cartesian coordinate

I. Define the following:1. ordered pair

2. abscissa

3. ordinate

4. origin

5. quadrants

II. Answer the following as best as you can.

1. What are the coordinates of the point at the origin?

2. Given the point (6, 4). What is its ordinate? Its abscissa?

3. What is the ordinate of the point that passes through the x-axis?

4. What is the abscissa of the point that passes through the y-axis?

5. Where can we find the points with the same abscissas and the same ordinates?6. The points that are numerically equal but of opposite signs can be found in

what quadrants?

7. How do we call the distance from the y axis to where the point is located?

8. How do we call the distance from the x-axis to where the point is located?

9. Given the point (7, 2), what is the distance from the y-axis to the point?

10. Given the same point on number 9, find the distance from the x-axis to the

point.


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Name: ________________________________________ Score: _________________




Subject:

Math 213 (Trigonometry)__________________________________________

Type of Activity:



============================================================

Activity Title: Points on the Coordinate Plane_____________________________

Learning Target/s: To plot points on the coordinate plane___________________

I. Plot the following points on a coordinate plane.

1. (3, 4)2. (-2, 5)

3. (-3, -6)

4. (7, -4)

5. (0, 0)

6. (10, 0)

7. (0, -8)

8. (2 , 4.5)

9. (-6 , -3.75)

10. (-7, 0)


12/17



Name: ________________________________________ Score: _________________




Subject:


Type of Activity:



============================================================

Activity Title: The Distance Formula_______________________________________

Learning Target/s: To find the distance between two given ponts_______________

I. Find the distance of the following points using the distance formula:

1. (5, -6) and (0, 0)2. (2, 7) and (6, 9)

3. (-6, 4) and (-2, -3)

4. (-1, 0) and (-5, -4)

5. (5, -2) and (-3, 7)


13/17



Name: ________________________________________ Score: _________________




Subject:


Type of Activity:



============================================================

Activity Title: The Trigonometric Functions of Angles________________________

Learning Target/s: To find the six trigonometric functions of an angle.

I. Find the six trigonometric functions of angle with the following points on its

terminal side. Draw the each angle on a coordinate plane.1. P(-12, 5)2. P(-4, -3)

3. P(0, 2)


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Name: ________________________________________ Score: _________________





Type of Activity:



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Activity Title: The Trigonometric Function Values___________________________

Learning Target/s: 1. To identify the quadrant/s that satisfy a given condition.

2. To tell whether the value of a function is possible or not.

I. Identify the quadrant/s that satisfy the given conditions. Write your answer on

the blank before each number.

_______________ 1. csc < 0, cos < 0_______________ 2. tan > 0, cot > 0_______________ 3. sin > 0, cos < 0_______________ 4. cos > 0, tan > 0_______________ 5. tan < 0, cot < 0_______________ 6. sin < 0, cos > 0_______________ 7. tan > 0, cos < 0

_______________ 8. cos < 0, tan < 0_______________ 9. tan > 0, sec < 0______________ 10. cos < 0, tan > 0

II. Tell whether the value of a function is possible or not.

_______________ 1. cos = _______________ 2. sec = -2/3_______________ 3. cos = -1_______________ 4. sin = 3/5_______________ 5. tan = 2 and cot = -2_______________ 6. tan =2, with in QIV

_______________ 7. sec = 0.5_______________ 8. sin = 6_______________ 9. cot = 12______________ 10. tan = 25


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Name: ________________________________________ Score: _________________





Type of Activity:



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Activity Title: Find The Other Functions When One Function Is Given______

Learning Target/s: To find the other five functions when one function is given

I. Find the other five functions given the following:

1. sin = 3/ 10 and is in QII2. cos = -1/3 and is not in QII3. sec = 2 and sin is positive


16/17



Name: ________________________________________ Score: _________________




Subject:


Type of Activity:



============================================================

Activity Title: Circular Functions_____________________________________

Learning Target/s: To find the arc length and its six circular functions_____

I. Find s of each figure and give the coordinates of P. Give the six circular

functions of s.

1. P( , ) 2.

P( , )


17/17



Name: ________________________________________ Score: _________________




Subject:

Math 113 (Industrial Mathematics)______________________________

Type of Activity:



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Activity Title: Review of Basic Concepts in Mathematics_________________

Learning Target/s: 1. To identify prime and composite numbers__________

2. To test divisibility of numbers____________________

3. To find the LCM and GCF of given numbers________

activity sheet for math students

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