American School of Kuwait Mathematics Department 

  

Honors Geometry Summer Assignment 

2020  

This project is due on the first day of class. You will present this project to the rest of the class. Please take your time on this project, it will be turned in for a grade. This project should be completed entirely on your own. You will have a first summative over the content you learned over the summer. A little about the class and myself. My name is Ms. Johnson, I will be your Honors’ Geometry teacher for the school year of 2020-2021. I have been at ASK for two years and this year will be my third. I am very excited for this school year and can’t wait to get to know each one of you. Honors Geometry is a fast paced course that dives deep into the world of Geometry. This course is not a “mathy math” course because we deal with shapes, logic and reasoning quite a bit in this class. This course is very much designed for independent thinkers and go getters. My expectations for you as a learner are high but I have high expectations for myself as your teacher. There is no room for slackers, so bring your A-game! I look forward to teaching you Geometry.

Honors Geometry Summer Assignment

This standard will be over lessons 1.1 - 1.5 from your Geometry book. An online version of the book is included with this project.

Standard: Geometry: G.CO.1 – Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

Your Task: Your summer assignment consists of three parts. For this summer assignment you will be acting as a city developer and building a 3D model of a new town. For part one, you will need to go over lessons 1.1 to 1.5 in your book. Take notes by writing down vocabulary words, postulates, theorems and hints. Try doing a few problems from each lesson to make sure you understand it. I’m also available by email over the summer if you have a quick question. For part two, you will begin to make your 3D project. It should be out of a 3D shape, like a cardboard box. You will need to cut the box at least once and make another plane. You are encouraged to do more than one cut but only one is required. Once you cut the box, attach it back to the other half of the box, at the edge, using something that will allow it to fold back, like hinges. You will also need to make sure to put cardboard over the open surfaces of the box after cutting it. You will put your project on this 3D model.

The shaded regions are planes. Different ways you can cut your box. For part three, you will need to draw a net that is drawn to scale of the model that you’ve just built. A net is simply a 2D unfolded version of a 3D shape. Nets can be found on pg. 4-7 in your book.

City Design Project

You are a City Engineer and you are to design your own city. Your city will have a name and

population which must be placed on a 3x5 card and attached to your city design.

The following buildings MUST be placed as directed.

A gas station and a restaurant (alternate exterior angles)

Your house and a school (same side interior angle)

A courthouse and a bank (vertical angles)

A general store and a church (corresponding angles)

A library and a park (alternate interior angles)

You MUST also include the following: ● City Name and Population

● At least 2 pair of street that are parallel (on par horizontal and on vertical) ● At least 2 transversals ● 1 intersection that create 4 right angle ● 1 intersection that create linear pair that is 140° and 40° ● A single dead end road that make right angle ● 2 building that are rectangle ● A industrial area with square factories ● 2 street that cross and form an obtuse angle labeled with it measure ● 2 street that crosses to form an acute angle labeled with its measure ● A street that form ray ● A compass (showing the four cardinal direction) ● A designated residential area ● A school zone ● A park ● A shopping district ● Demonstrate a linear pair, complementary angles, and supplementary angles on your map. Why are these important? ● YOUR NAME *Please make your project your own. The following must be included but you can include more in your project and it is encouraged.*

Grading Rubric

These are I can statements. You should be able to do each of these statements as you progress through your project. Use this as a tool to gauge where you are in your learning.

Honors Geometry Yes! Starting

to Not Yet

G.CO.1 – Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

Consider: Nearly everything we see in the natural and constructed world comes from a few basic shapes. What are the relationships between angles, circles, perpendicular lines, parallel lines, and line segments? How do they work together? Once we understand this, what can we then do with that information?

I can explain what makes a line segment a line segment, citing specific characteristics.

I can explain what makes an angle an angle, citing specific characteristics and types of angels.

I can explain what makes a perpendicular line, perpendicular, citing specific characteristics, formulas, and the pieces that help define it.

I can explain what makes a parallel line, parallel, citing specific characteristics, formulas, and the pieces that help define it.

I can explain what makes a circle a circle, citing specific characteristics, formulas, and pieces that help define a circle.

I can explain how to find the distance of a line (without a ruler) when two points are plotted on a graph.

American school of Kuwait Mathematics Department 

  

Honors Geometry Summer Review Packet 

2020  

 The problems in this packet are designed to help you review topics from Algebra I that are important to your success in Honors Geometry. The topics covered in this packet should be addressed and reviewed before entering Geometry. Examples have been provided in each section to help you get started and refresh your memory of these concepts. This packet is due on the first day of class. This assignment should be done in pencil. You may not use calculators.

Name_________________________________________________ Date___________

Topic 1: Order of operations 

Notes:  

Order of Operations: 1. Parentheses 2. Exponents 3. Multiply or Divide 4. Addition or Subtraction

Multiply

Addition

+ Grouping Symbols { [ ( ) ] }

Exponents x2

Divide

Subtraction -

 Problem Set: Simplify.

1)   2)   3)  

4)   5)  

6)   7)  

8)   9)  

 

 

 

 

 

 

 

  Topic 2: Solving Equations 

Examples: Solve for x.

Comb. Like Terms Subtract 28. Simplify. Divide by 20. Simplify.

Distribute. Subtract 7x. Simplify. Subtract 2. Simplify.

Add 2.

Simplify.

Square Root

 Problem Set - Solve for x. Show all work. Answers must be in simplified fractions if applicable.

1) 2) 3)

4) 5)

6) 7)

8) 9)

10) 11)

12) 13)

14) 15)

16) 17)

18)

19)

Topic 3: Exponents

Notes & Examples:  An expression like 53 is called a power. The exponent 3 represents the number of times the base 5

is used as a factor: (3 as a factor of 5). To simplify expressions involving exponents, you often use properties of exponents. Let a and b be numbers and let m and n be integers.

Rules of Exponents Examples

● Adding/Subtracting

● Product of Powers Property

● Zero Power Property If , then  Problem Set: Simplify the expression using rules of exponents. 1) 2)

3) 4)

5) 6)

7)

8)

Topic 4: Radicals

Notes & Examples  If a2 = b, then b is the square root of a. If x represents any positive real number, then the expression

is the positive square root of x. It is the positive number we square to get x. The expression

is the negative square root of x. It is the negative number we square to get x. For example,

The positive square root of 25 is 5 and can be written . The negative square root of 25 is -5

and can be written . Zero has just one square root: . Negative numbers do not

have a square root; (no solution in the real numbers). Some square roots are decimals:

. Problem Set: Simplify the radical….do not put as a decimal.

1)

2) √63

3)

4) √75

5)

6) √32

7)

8) √126

Topic 5: Fractions & Decimals

Notes & Examples  

To convert a fraction into a decimal, divide the numerator by the denominator. . When using a calculator to solve remember, “top divided by bottom”. To convert a decimal to a fraction is a bit more complicated. Any numbers to the left of the decimal point are whole numbers and are the large numbers in a mixed fraction. All numbers to the right are made into a fraction. Put a 1 in the denominator and a zero under every number in

the numerator. Then simplify the fraction. For example: . “1000” is in the denominator because it has three zeros to correspond to the three numbers in the numerator. Problem Set: Convert the fractions to decimals and the decimals to fractions.

1) 2) 3) 4)

5)

6)

7) 8)

Topic 6: Plotting Points

Notes & Examples  

In one dimension, plot the points on a number line. For example would be represented by the following:

In two dimensions, plot the points on the coordinate plane. The coordinate plane is made-up of the horizontal x-axis and the vertical y-axis. Each point in the coordinate plane corresponds to an ordered pair of real numbers. For example, the ordered pair W(3, -2), has an x-coordinate of 3 and a y-coordinate of -2. It would be represented by the following:

Problem Set: Put numbers on the number line and plot the following.

1) 2) 3) 4) 5)

Problem Set: Plot the following points on the coordinate plane.

1) 2) 3) 4) 5) 6)

Topic 7: Right Triangles

Notes:  

In a right triangle, the sides that form the right angle are the legs of the triangle. The side opposite the right

angle is the hypotenuse of the triangle.

Example: Identify the legs and hypotenuse in the triangles below.

Side a: Leg Side b: Leg Side c: Hypotenuse

Problem Set: Identify the legs and hypotenuse in the triangles below.

1)

2)

3)