geometry ~ chapter 1 capacity...

Geometry ~ Chapter 1 Capacity Matrix

Learning Targets

1. Drawing and labeling the Geometry Vocabulary

2. Using the distance and midpoint formula

3. Classifying triangles and polygons

Section Required Assignments Additional Resources

1-1 Points, Lines and Planes (Formative)

⎕ Chapter 1 Triple Entry Journal OR Flashcards for listed words ⎕ #’s 13, 15, 17, 19, 21, 23, 24, 31, 33, 35, 39, 41, 43, 45 (14 questions pgs 9-10) ⎕

⎕ #’s 2-12 evens pg 9 ⎕ #’s 1-9 pg 754

1-2 Linear

Measure and Precision

(Formative)

⎕ #’s 13, 15, 17, 19, 23, 25, 29, 31, 35, 37, 39, 43-45 (14 questions pgs 17-18) ⎕

⎕ #’s2-10 evens pg 16 ⎕ #’s 1-12 pg 754

⎕ Quiz 1-1 to 1-2 (Summative) You MUST know:

Point, line, collinear, plane, coplanar (need to be able to label and draw these items.

Undefined terms Draw and label a line segment understand

precision when measuring.

1-3 Distance and

Midpoints (Formative)

⎕ #’s 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 43 (15 questions pg 25-26) ⎕

⎕ #’s 2-12 evens pg 25 ⎕ #’s 1-24 pg 754

1-4 Angle

Measure (Formative)

⎕ #’s 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37 (13 questions pg 34) ⎕

⎕ #’s 2-10 evens pg 33 ⎕ #’s 1-14 pg 755


How to find the distance (distance formula) and midpoint (midpoint formula) on a number line OR on a coordinate plane

Segment bisector, degree, ray, how to label AND draw an angle, sides of an angle, vertex of an angle, angle bisector

Classify angles (right, acute, obtuse?) Decide whether two angles are EQUAL to each

other OR add up to a particular degree.

1-5 ⎕ #’s 11, 13, 15, 17, 19, 21, 23, 25, 27, 28, 29, 31, 33 ⎕ #’s 2-10 evens pg 41

Angle Relationships (Formative)

(13 questions pg 42) ⎕

⎕ #’s 1-9 pg 755

1-6 Polygons

(Formative)

⎕ #’s 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33 (11 questions pgs 49-50) ⎕

⎕ #’s 2-10 evens pg 48 ⎕ #’s 1-6 pg 755


How to label AND draw adjacent angles, vertical angles, a linear pair, complementary angles, supplementary angles, perpendicular lines.

When you are writing equations…..are the angles EQUAL to each other OR do they add up to a particular degree?

Polygon vs NOT a polygon

Convex vs concave, polygon names, regular polygon, perimeter (distance formula)

REVIEW (Formative)

⎕ Study Guide and Review pg 53-56 #’s 1-10 vocabulary #’s7-12 labeling and drawing points, lines,

planes….. #’s 13-19 precision measuring and line

segments with the sum of its parts. #’s 20-27 distance and midpoint formulas #’s 28-37 acute, right, obtuse angle classifying

and angle bisectors #’s 38-41 adjacent angles, vertical angles,

complementary angles, linear pair #’s 42-46 polygon, perimeters, concave, convex

⎕ Chapter 1 Practice Test #’s 1- 25 pg 57

⎕ Chapter 1 Project (Summative)

⎕ Chapter 1 TEST (Summative)

Geometry ~ Chapter 1 Notes

Learning Targets




Chapter 1 Triple Entry Journal

Word Definition Picture OR Example

acute angle

adjacent angles

angle bisector

complementary angles

concave

congruent

convex

linear pair

midpoint

perimeter

perpendicular

polygon

regular polygon

right angle

segment bisector

supplementary angles

vertex

vertical angles

Section 1-1 Points, Lines and Planes

Key Points Notes

Vocabulary

POINT

LINE

PLANE

COLLINEAR

COPLANAR

What are three ‘Undefined

terms’?

point, line, collinear, plane, coplanar, undefined terms, space

Look Like Named or Labeled

Section 1-1 Points, Lines and Planes (continued…….)

Key Points Notes

Using some geometric

vocabulary.

Draw and label a figure for

each relationship.

1) plane R contains and , which intersect at point P. Add point C on

plane R so that it is not collinear or .

2) on a coordinate plane contains Q(-2, 4) and R(4, -4). Add point T so that T is collinear with these points.

1) Name the Plane.

2) Name a Line.

3) Name a point on Plane Q.

4) Name 3 points that are

collinear.

5) Name 3 points that are

coplanar.

Section 1-2 Linear Measure and Precision

Key Points Notes

Vocabulary

Find the precision for

each measurement.

line segment, precision, betweenness of points, between, congruent, constructions 1) Using the ruler below, what does EACH tiny ‘tick’ mark represent? 2) Using the ruler below, draw a line that is 4 ¾ inches. 3) What would the precision expectation be for the above example?

1) 32 ¾ inches 2) 15 millimeters

Section 1-2 Linear Measure and Precision (continued……..)

Key Points Notes

Draw a picture and answer the

questions.

1a) M is between L and N. is 2.6 cm. is 4 cm. 1b) Find LM. 2a) T is between U and S. is 5x-3 and is 7x and is 45. 2b) Find x. 2c) Find ST.

Section 1-3 Distance and Midpoints

Key Points Notes

Vocabulary

Distance and midpoint on a number line

distance, midpoint, segment bisector

1) Label the 4 dots A, B, C, D. 2) How do you find distance on a number line? 3) Find AD. 4) How do you find the midpoint on a number line? 5) Find the midpoint of CD.

Section 1-3 Distance and Midpoints (continued…….)

Key Points Notes

Distance and midpoint on a

coordinate grid

1) What is the distance formula for points on a coordinate plane? 2) Find the Distance between the two dots using Pythagorean Theorem. 3) Find the distance between the two dots using the Distance Formula. 4) What is the midpoint formula when using a coordinate plane? 5) Find the midpoint of the two dots.

Section 1-3 Distance and Midpoints (continued…….)

Key Points Notes

Draw the scenario and

solve the problem.

1) What is the measure of if Q is the midpoint of and = 14x + 2 and = 6 – 3x and = 45.

Section 1-4 Angle Measure

Key Points Notes

Vocabulary

How many degrees in a

circle?

What is a degree?

What is a ray?

What do two opposite rays

make?

Draw an angle and label it

<ABC.

Label the vertex of the above

angle.

What are the sides of the

above angle?

Draw an acute <DEF and label the interior and

the exterior.

degree, ray, opposite rays, angle, sides, vertex, interior, exterior, right angle, acute angle, obtuse angle, angle bisector

Section 1-4 Angle Measure (continued…….)

Key Points Notes

Using the figure

to the right:

1) Name an acute angle. 2) Name an obtuse angle. 3) Name a right angle. 4) Name a pair of congruent angles.

Section 1-4 Angle Measure (continued…….)

Key Points Notes

Using the figure

to the right:

If QS bisects <PQR, find the measure of each angle.

Section 1-5 Angle Relationships

Key Points Notes

Vocabulary

Using the diagram to the right, answer the following

questions.

adjacent angles, vertical angles, linear pair, complementary angles, supplementary angles, perpendicular lines,

1) What are adjacent angles? Name a pair of adjacent angles. 2) What are vertical angles? Name a pair of vertical angles. 3) What is a linear pair? Name two angles that make a linear pair. 4) What are complementary angles? Name a pair of them. 5) What are supplementary angles? Name a pair of them. 6) What are perpendicular lines? Name two lines that are perpendicular.

Section 1-5 Angle Relationships (continued……..)

Key Points Notes

Example: Find the measures of two supplementary angles if the measure of one angle is 6 less than five times the measure of the other angle. Example:

Find ‘x’ so that .

Section 1-6 Polygons

Key Points Notes

Vocabulary

What are some characteristics that polygons can and can NOT have?

What is the difference between

convex and concave?

Fill in the chart.

polygon, concave, convex, n-gon, regular polygon, perimeter

Number of sides

Polygon Name

3

4

5

6

7

8

9

10

12

n

Section 1-6 Polygons (continued…….)

Key Points Notes

Polygon REVIEW

Concave or convex?

The width of a rectangle is 5 less than twice its length. The perimeter is 80 centimeters. Find the length of each side.

Section 1-6 Polygons (continued…….)

Key Points Notes

Finding PERIMETER!

Find the perimeter.

Find the perimeter of pentagon ABCDE with A(0, 4), B(4, 0), C(3, -4), D(-3, -4), and E(-3, 1).

Geometry Chapter 1 Study Guide

Learning Targets




Section 1-1 Points, Lines, and Planes

Need to know how to draw and label:

Point ⎕

Line ⎕

Plane ⎕

Collinear ⎕

Coplanar ⎕

Undefined terms ⎕

Section 1-2 Linear Measure and Precision

How do you measure with a ruler with a certain precision? ⎕

How do you decide on the certain precision? ⎕

What does congruent mean? ⎕

Know how to set up a point in between two others and know whether to set the parts equal to each

other OR add the parts up to the whole. ⎕

Section 1-3 Distance and Midpoints

Distance Formula (Number line)? ⎕

Distance Formula (Coordinate grid)? ⎕

Midpoint Formula (Number line)? ⎕

Midpoint Formula (Coordinate grid)? ⎕

Pythagorean Theorem (What does it do?)? ⎕

Section 1-4 Angle Measure

How do you make an angle with a protractor? ⎕

How do you label an angle? ⎕

What are the sides and vertex of an angle? ⎕

How do you classify angles? (right, acute or obtuse) ⎕

What are congruent angles? ⎕

Section 1-5 Angle Relationships

What are adjacent angles? ⎕

What are vertical angles? ⎕

What is a linear pair? ⎕

What are complementary angles? ⎕

What are supplementary angles? ⎕

What are perpendicular lines? ⎕

Section 1-6 Polygons

What is a polygon? ⎕

What is the difference between convex and concave? ⎕

What are the names of polygons with the number of sides from 3 to 10? ⎕

How do you find the perimeter of a polygon? ⎕

Name (1st and last): ___________________________________________ Date: __________________

Year of Graduation: _________________

Geometry Chapter 1 Project

Vocabulary Scavenger Hunt

What You Need: 1 camera per person or internet access, chrome books

Chapter 1 Vocabulary List

Acute angle convex n-gon regular polygon

Adjacent angles coplanar obtuse angle relative error

Angle degree opposite rays right angle

Angle bisector exterior perimeter segment bisector

Between interior perpendicular sides

Betweenness of points line plane space

Collinear line segment point supplementary angles

Complementary angles linear pair polygon undefined terms

Concave locus precision vertex

Congruent midpoint ray vertical angles

Construction

What You Do:

1. Sit down with the list of geometric terms and make sure that you understand each one. If a term needs

clarification, there are many online math dictionaries that can provide definitions and pictures.

2. Take your cameras on an outing OR go searching online. Each person will look for real-world examples

of geometry, and take a picture (or copy and paste a picture) that captures each term. For example, a traffic

pylon could represent a “cone,” a tall building a “prism,” or a railroad tracks “parallel lines.”

3. Prepare a report with each picture you found or took, the word you are trying to demonstrate and a

description as to why you believe that the picture you chose represented the given word.

4. You will receive 3 points for EACH word that you successfully find a real-world example of correctly and

describe it properly as well online OR you can receive 4 points for EACH word that you physically took a

picture of around here or a real-world example correctly and describe it properly as well. You cannot mix

and match online pictures with your own taken pictures. It is one OR the other.

5. Create a document or powerpoint that shows the work, picture and description and then share it with me

when you are done.

geometry ~ chapter 1 capacity...

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