Algebra 1 � 1st Semester - DOC 1 by IlsqWsUD

VIEWS: 19 PAGES: 23

									                                          Name: ____________________


                     Geometry – 1st Semester


Instructions:
1. ALL WORK IS TO BE DONE AT SCHOOL.
2. Bring your packet to class every day.
3. Take the Pre-Test; blue E’s mean exempt.
4. Read tutorial, take notes, do the practice/application (80% or higher).
5. Answer asked questions even if the lesson is exempted.
6. ALL mastery tests MUST be mastered.
7. Take mastery test up to 3 times to earn 80%; 4 times or more earns 50%.
8. Answer all questions for the OFF-LINES.
9. COPY ALL MASTERY, POST TEST AND EXAM GRADES ONTO PACKET.
10. Get packet signed BEFORE taking a Post Test or exam.



Unit One
      1. Pre-Test
      2. OFFLINE: Problem Solving, Patterns, and Solutions
      3. OFFLINE: Geometric Systems – Read article. (other resources)
            1. What group of people is credited with the systemization of
                  geometry?
                        Syrians
                        Egyptians
                        Romans
                        Greeks

            2. What does the Pythagorean Theorem involve?
                 pentagons
                 polygons
                 triangles
                 rectangles
3. Rene Descartes is credited with _____.
      creating a system for representing points on a
            coordinate plane
      discovering how to find the interior measurements of
            polygons
      proving that the square of the length of the longest side
            of a triangle is equal to the sum of the squares of
            the other 2 sides
4. Postulates and Theorems
      _____ Tutorial
                   1. What does a geometric proof prove?




                   2. What 4 things are used to support a proof?




                   3. Define:
                         postulate



                         theorem



                         definition



                         proof



                   4. Define:
                         direct proof



                         indirect proof



      _____ Application
      _____ Mastery Test
5. Lines in a Plane
      _____ Tutorial
      _____ Application
      _____ Mastery Test
      _____ offline: Lines in a Plane - skip
6. Points, Lines, and Planes
      _____ Tutorial
                    1. List 3 characteristics of a line.



                    1. A ray has __________ endpoint(s).

      _____ Application
      _____ Mastery Test 1
      _____ Mastery Test 2
7. Intersecting Lines and Planes
      _____ Tutorial
                   1. Perpendicular lines form __________ angles.

     _____ Application
     _____ Mastery Test
8. OFFLINE: Geometric Conjectures
     1. What is a conjecture?  (Activity 1)




      2. If a conditional statement is true, then its contrapositive
            _____. (Activity 12)
            is true
            is false
            is both true and false



      3. What is the converse of a statement?          (Activity 12)




      4. What is an indirect proof?      (other resources)
9. Special Angles, Part 1
      _____ Tutorial
                   1. Two rays starting at the same point create a
                          __________.

                   2. Complementary angles equal _______ degrees.



                   3. Supplementary angles equal _______ degrees.

      _____ Application
      _____ Mastery Test 1
      _____ Mastery Test 2
10. Congruent Angles
      _____ Tutorial
                  1. Define congruent.



      _____ Application
      _____ Mastery Test
11. Two of a Kind
      _____ Tutorial
                  1. Define vertical angles and draw an example.




      _____ Application
      _____ Mastery Test
12. Supplementary and Complementary Angles
      _____ Tutorial
                  1. Complementary angles add up to ________
                        degrees.

                   2. Supplementary angles add up to __________
                         degrees.

      _____ Application
      _____ Mastery Test
     13. OFFLINE: Constructing Congruent Segments
          1. Define congruent line segments.  (Activity 1)




           2. What tools are used to construct congruent line segments?
                (Read the objective)




STOP! – You must tell me before you start this test.
     14. Post Test – Unit 1 (20 questions)
Unit Two
      1. Pre-Test
      2. Special Angles, Part 2
            _____ Tutorial
                         1. There are __________ degrees in a triangle.

            _____ Application
            _____ Mastery Test 1
            _____ Mastery Test 2
      3. Angles in Pairs
            _____ Tutorial
                         1. Draw 2 parallel lines cut by a transversal. Label
                               the congruent pairs.




            _____ Application
            _____ Mastery Test
      4. Transitive Properties of Lines
            _____ Tutorial
            _____ Application
            _____ Mastery Test
      5. OFFLINE: Writing Geometric Proofs
      6. OFFLINE: Properties of Parallel Lines Cut by a Transversal (other
            resources)
                   1. What are vertical angles?



                   2. What are alternate exterior angles?




                   3. To prove that 2 lines cut be a transversal are parallel,
                         one must show that _____.
                               alternate interior angles are congruent
                               alternate exterior angles are congruent
                               corresponding angles are congruent
                               all of the above
7. Proportionality
      _____ Tutorial
                   1. Draw and label a figure to set up a
                         proportionality.




     _____ Application
     _____ Mastery Test
8. OFFLINE: Angle Bisectors, Parallel Lines and Perpendicular Lines
     1. What is the measure of the angle formed by 2 intersecting
          perpendicular lines? (Activity 5)




      2. What does an angle bisector divide an angle into? (Activity 1)




9. The Sum of the Angles in a Triangle
      _____ Tutorial
                  1. There are _______ degrees in a triangle.

      _____ Application
      _____ Mastery Test
10. Introduction to Triangles
      _____ Tutorial
                   1. Define an isosceles triangle.



      _____ Application
      _____ Mastery Test
      _____ offline: Introduction to Triangles – skip
11. Not Everything is Created Equal
      _____ Tutorial
                  1. Define:
                         >

                         <

                  2. What is the symbol for not equal to?



      _____ Application
      _____ Mastery Test
12. Exploring Congruent Figures
      _____ Tutorial
      _____ Application
      _____ Mastery Test
      _____ offline: Exploring Congruent Figures – skip
     13. Congruent Triangles, Part 1
           _____ Tutorial
                       1. Define:
                              equiangular

                              equilateral



                        2. Describe these triangles:
                              acute

                              obtuse

                              right

                              isosceles

                              scalene



           _____ Application
           _____ Mastery Test 1
           _____ Mastery Test 2
     14. Congruent Triangles, Part 2
           _____ Tutorial
           _____ Application
           _____ Mastery Test
     15. Congruent Triangles Problems
           _____ Tutorial
           _____ Application
           _____ Mastery Test
     16. offline: Constructing Congruent Triangles - skip



STOP! – You must tell me before you start this test.
     17. Post Test – Unit 2 (20 questions)
Unit Three
      1. Pre-Test
      2. Introduction to Polygons
            _____ Tutorial
                         1. Define polygon.

                         2. Identify a polygon with:
                               3 sides –

                               4 sides –

                               5 sides –

                               6 sides –

                               7 sides -

                               8 sides –

                               9 sides –

                               10 sides –



                         3. Draw and example of a concave and a convex
                               polygon.




            _____ Application
            _____ Mastery Test
3. Summing Up Angles
     _____ Tutorial
                 1. What is the formula for finding the sum of the
                      measure of interior angles?



                  2. What is the formula for finding the measure of
                       one interior angle?



                  3. The sum of the exterior angles of a polygon
                        always equals __________ degrees.



                  4. What is the formula for finding the measure of
                       one exterior angle?

      _____ Application
      _____ Mastery Test
4. Angles in Regular Polygons
      _____ Tutorial
      _____ Application
      _____ Mastery Test
5. Introduction to Quadrilaterals
      _____ Tutorial
      _____ Application
      _____ Mastery Test
      _____ offline: Introduction to Quadrilaterals - skip
6. Parallelograms, Part 1
      _____ Tutorial
                   1. Define congruent.



                  2. Define supplementary



      _____ Application
      _____ Mastery Test
7. Parallelograms, Part 2
      _____ Tutorial
                   1. What do the following letters stand for:
                          AAS

                         ASA

                         SAS

                         SSS



      _____ Application
      _____ Mastery Test
8. Rhombuses and Trapezoids
      _____ Tutorial
                 1. What is the equation for 30-6-900 triangles?



                   2. What is the formula for finding the mid-
                        segment of a trapezoid?




     _____ Application
     _____ Mastery Test
9. OFFLINE: Calculating Perimeter of Geometric Figures
     1. How do you calculate the perimeter of a rectangle?




10. Area: Counting Square Units
      _____ Tutorial
      _____ Application
      _____ Mastery Test
      _____ offline: Area: Counting Square Units – skip
11. Calculating the Area of Rectangles and Squares
       _____ Tutorial
                    1. What is the formula for finding the area of a
                          rectangle or square?




      _____ Application
      _____ Mastery Test
      _____ offline: Calculating Area of Rectangles/Squares - skip
12. Area, Part 1
      _____ Tutorial
                 1. What is the formula for finding the area of a
                        parallelogram?




      _____ Application
      _____ Mastery Test 1
      _____ Mastery, Part 2
**** Do #16 first and then do #13.

13. Area of Right Triangles and Parallelograms
      _____ Tutorial
                   1. What is the formula for finding the area of a
                         triangle?



                   2. What is the formula for finding the area of a
                        rhombus (like a kite)?



                   3. What is the formula for finding the area of a
                        trapezoid?




      _____ Application
      _____ Mastery Test
14. Area of Any Triangle
      _____ Tutorial
                  1. What is the formula for finding the area of an
                         equilateral triangle?




                   Question - The area of this triangle is ____
                               square meters – AB = 15 m. Round
                               your answer to the nearest tenth.

      _____ Application
      _____ Mastery Test
15. Area, Part 2
      _____ Tutorial
                  Use 22/7 for π and round to the nearest tenth.
      _____ Application
      _____ Mastery Test 1 HINT: area of trapezoid
      _____ Mastery Test 2 HINT: area of circles
      _____ Mastery Test 3 HINT: area of triangles
16. Area of Trapezoids and Rhombuses
      _____ Tutorial
                  1. What is the formula for finding the area of a
                        trapezoid?



                  2. What is the formula for finding the area of a
                       rhombus?



     _____ Application
     _____ Mastery Test
17. OFFLINE: Angles in Polygons (other resources)
     1. How do you calculate the measure of one interior angle?




      2. How do you calculate the measure of an exterior angle?




18. Solving Measurement Story Problems
      _____ Tutorial
      _____ Application
      _____ Mastery Test
      _____ offline: Solving Measurement Story Problems – skip
     19. OFFLINE: Length and Area in Congruent and Similar Triangles
          1. How do you set up a proportion to find the missing length of
                similar triangles?
                       (Copy the example at the top of page 6.)




STOP! – You must tell me before you start this test.
     20. Post Test – Unit 3 (20 questions)
Unit Four
      1. Pre-Test
      2. OFFLINE: Three-Dimensional Cross Sections
            1. Define: (Activity 1)
                  one-point perspective



                 two-point perspective



                 three-point perspective




           2. Define: (Activity 3)
                 cross-section




     3. Introduction to Solid Figures
           _____ Tutorial
                        1. Draw a cube and label:
                               edge
                               face
                               vertex



                        2. Draw a cone and label:
                              apex



           _____ Application
           _____ Mastery Test
           _____ offline: Introduction to Solid Figures – skip
4. Prisms
       _____ Tutorial
                 1. Define:
                       prism

                         lateral face



                   2. Draw an oblique prism.



      _____ Application
      _____ Mastery Test
5. Calculating the Volume of a Rectangular Prism
      _____ Tutorial
                    1. What is the formula for finding the volume of a
                         rectangular prism?




      _____ Application
      _____ Mastery Test
      _____ offline: Calculating Volume of Rectangular Prism – skip
6. Area and Volume of Cylinders
      _____ Tutorial
                  1. Draw a cylinder and label:
                        base
                        height
                        lateral surface
                        altitude



                   2. What is the formula for finding the lateral
                        surface area of a cylinder?



                   3. What is the formula for finding the volume of a
                        cylinder?



                   4. What is the formula for finding the
                        circumference of a circle?



      _____ Application
      _____ Mastery Test
7. Area and Volume of Cones
      _____ Tutorial
                  1. What is the formula for finding the lateral
                        surface area of a cone?



                  2. What is the formula for finding the total area
                       of a cone?



                  3. What is the formula for finding the volume of a
                       cone?



                  4. Draw and label the parts of a cone:
                        vertex
                        slant height
                        altitude
                        base
                        perimeter




            Question #3 – Round answer to nearest hundredth.

      _____ Application
      _____ Mastery Test
8. Using Measurement
      _____ Tutorial
      _____ Application
      _____ Mastery Test 1
      _____ Mastery Test 2
9. OFFLINE: Perimeter and Volume
      1. What is the effect of the perimeter, area, or volume when
            the dimensions are changed in the second figure? (Read
            the offline to see how to set this up.)
10. OFFLINE: Surface Area and Volume of a Sphere
     1. What is the formula for finding the volume of a sphere?
          (Activity 2)




      2. What is the formula for finding the surface area of a
           sphere? (Activity 1)



      3. Define chord. (Part 2, Activity 3)




11. OFFLINE: Polyhedron
      1. Define polyhedron. (Activity 1)




      2. How many platonic solids are there? (Activity 1)




      3. Describe the face of a dodecahedron. (Activity 1)




      4. How many edges does: (Activity 1)
           an octahedron have?



            a tetrahedron have?
STOP! – You must tell me before you start this test.
     12. Post Test – Unit 4 (20 questions)




STOP! – You must tell me before you start this test.
     Semester Exam (40 questions)

								
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