A Free Tutoring Service: Preparing For the Future

                       A Federal and State of California Nonprofit Corporation 

                           Lesson Review and Activities:  Feb. 15-16 , 2001 

                        Cleophas "Mike" McAlpin................ Chief Tutor

E-Mail  : mikecmac@valueweb.net  

School Visitations by Cleophas McAlpin occurred on  Feb. 13-14-16. (San Pedro High, Banning High and Drew Magnet School.)  Mr. McAlpin met with Teachers, Counselors and sat in classroom of the students. He took notes in Spanish and in Algebra, right along with the students.

 Moving Right Along...Examination Time Again (below)!  Exam review of past week's activities. 

Newsflash!  Shavonn's is selected to participate in a "special learning program" at U.C.L.A. because of her high G.P.A. Congratulations to our 10th grade student!

February 15: The tutoring group has been busily doing scheduled homework. The group is very intense and focused. Some of the students are engaged in Algebra homework, some in Biology, some in Spanish,  while those without homework are engaged in electronics construction projects,  a math review for the SAT examination and Chemistry. After homework, the entire group was taken into mathematics again. This time, it was on right triangles...on a higher level. The examination below represents some of the topics covered.

James was sent to the Internet to search www.webelements.com for the second group of elements on the Periodic Table. He was required to give a lecture to the class on the electron configuration, properties and uses of those elements in Group 2. Our blitz of the Elements continues; We have done approximately 35 of the 100+ elements on the Table.

February 16: For some, the focus was on parabolas,  quadratic equations and polynomials.  Others continued a study for the SAT examination.  Parabolas and quadratic equations will be completely dissected and reduced to rubble!

                  Examination…..February 15, 2001 

Mathematics:

Part (A):  Right Triangles 

1. What is the length of one side of a 45° right triangle that has a hypotenuse of 20 inches? 

2. If one side of a 45° right triangle is 10 cm., what is the length of the hypotenuse? 

3. What is the relationship between the sides of a 45° right triangle?

4. For a right triangle that has a hypotenuse of 5 units and one side of 4 units, what is the length of the other side?

5. If one side of a right triangle is 12 units and the hypotenuse is 25 units, what is the length of the other side?

6. With 30°, 60°, 90° right triangle, what is the sine of the 30° angle? Of the 60° angle?Of  the 90° angle?

7. A square is inscribed within a circle of radius 15 units. What is the area of the square?

8. What is the tangent of 37°?  The cosine of 78°?  The sine of 30°?

9. If the side opposite to the 30° angle in a right triangle is 50 units, what is the length of the adjacent side? What is the length of the hypotenuse?

10. A right triangle has the side opposite to one angle equal to 0.345 units, and the adjacent side to the angle equal to 2.345 units. What is the length of the hypotenuse? What is the tangent of that angle?

Part (B).   Polynomials

Multiply:   

1. (a - 2)(a + 2) =_______________        

2. (3a2 – 3)( 2a2 – 4) =__________

3. (2a2 – a + 5)( 5a2 – 4a – 4) = ______________

Part (C): Graphing lines and curves:

1. What is the slope-intercept formula for a straight line?

2. The equation of a line is y = - 3/5 x  + 8. What is the slope (m) and what is the “y” intercept? Draw the line.

3. Draw the curve  y = 2 x2. What type of a figure is this?

4. Make up the equation of a straight line and tell what is meant by “rise over run”.  Draw your line.

Science:

Part A: Chemistry…

Group 1 elements.

1. Name all of the elements in Group 1 of the Periodic Table of the elements.

2. Draw the atomic configuration of at least 3 of them.

3. List some of the characteristics and uses of at least 3 of the elements.

Other Groups…

1. Name at least 4 of the elements that make up Group 2A of the Periodic Table and tell where they are found in nature.

2. Name all of the Noble Gases and tell why they are called inert. Draw the electron configuration of at least 4 of them.

3. Why does oxygen combine with hydrogen to form water? Explain with a diagram.

4. Why does sodium combine with chlorine to form salt? Explain with a diagram of the electron configurations of each.

5. An acid will combine with a base to form what? Give an example and write the formula for this reaction.

6. What is meant by radioactive half-life of an element? What is the half-life of  U-238?

7. Which particles are given off by radioactive decay and how would you separate them?

8. What is nuclear proliferation and is it a good thing or a bad thing? Write a paragraph explaining your stand on the matter.

9. What was the Enola Gay? What did it accomplish? Write a paragraph about the occurrence.

10. What is the acceleration due to gravity (g) and how would you calculate it if you were given a stopwatch and a ruler?

11. Convert 25° Centigrade to Fahrenheit. Convert  84° Fahrenheit to Centigrade.

Spanish:

Translate into English:

1. Traigame agua , pan, leche y el libro.

2. Hablo espanol.

3.  Que…hay…tengo…tiene…pero…bailar…cantar….mirar….trabajar..descansar

 Give Present Tense using all persons singular and plural of the following verbs:

 1. cantar; tocar, tomar, bailar, nadar, mirar, hablar, dibujar, practicar…lavar..caminar…escuchar…cuidar…estudiar…sacar..montar…copiar…preparar