# Algebra 1 � 1st Semester - DOC 1 by IlsqWsUD

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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?

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

_____ 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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