Geometry Geometry Honors
T.E.A.M.S. Geometry Honors

Summer Assignment

Dear Parents and Students:

All students entering Geometry or Geometry Honors are required to complete this assignment. This assignment is a review of essential topics from Grades 7, 8 and Algebra 1 to strengthen math skills for the upcoming school year.

If you need assistance with any of the topics included in this assignment, we strongly recommend that you to use the following resource: http://www.khanacademy.org/.

If you would like additional practice with any topic in this assignment visit: http://www.math-drills.com.

Below are the POLICIES of the summer assignment:

 The summer assignment is due the first day of class. On the first day of class, teachers will collect the summer assignment. Any student who does not have the assignment will be given one by the teacher. Late projects will lose 10 points each school day.
 This summer assignment will be graded on completion. Completion is defined as having all work shown in the space provided to receive full credit, and a parent/guardian signature. A preliminary assessment (administered during the first week of school) will be based on the topics covered in this packet.
 Any student who registers as a new attendee of Teaneck High School after August 15th will have one extra week to complete the summer assignment.
 Summer assignments are available on the district website and available in the THS guidance office.
 Teachers of Geometry will also assess the content of the packet with a quiz in the first week of school.

HAVE A GREAT SUMMER!

The table below contains important math skills taught in previous grades which are needed to be successful in Geometry. Students are encouraged to visit Khan Academy online to watch the tutorial video and complete the practice exercises.

arithmetic skills, including: multiplication tables; base ten number system; arithmetic with whole numbers, decimals, and fractions; arithmetic with signed numbers
	https://www.khanacademy.org/math/arithmetic
	
real number line concepts and terminology, including: order; average; the phrases “at least” and “at most”, the symbols for greater than and less than
	https://www.khanacademy.org/math/arithmetic
	
absolute value: |x| as distance from x to 0; |x − y| as distance between x and y
	https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-abs-value/v/absolute-value-as-distance-between-numbers
	
order of operations
	https://www.khanacademy.org/math/pre-algebra/pre-algebra-arith-prop/pre-algebra-order-of-operations/v/introduction-to-order-of-operations
	
Properties of whole number exponents; exponent laws
	https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals#pre-algebra-exponent-properties
	
ratios and proportions
	https://www.khanacademy.org/math/pre-algebra/pre-algebra-ratios-rates
	
polynomials: combining like terms; FOIL; more advanced use of the distributive property
	https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions
	
factoring: greatest common factor; factoring trinomials; difference of squares; the zero factor property
	https://www.khanacademy.org/math/algebra/polynomial-factorization
	
solving any linear equation/inequality in one variable, particularly those involving fractions, decimals, and radicals
	https://www.khanacademy.org/math/algebra-home/alg-basic-eq-ineq
	
graphing basics, including: coordinate plane terminology; plotting points
	https://www.khanacademy.org/math/basic-geo/basic-geo-coord-plane
	
working with lines: writing equations and graphing; slope;
	https://www.khanacademy.org/math/algebra/two-var-linear-equations

Practice:

Graph each line.

2
5
1. 𝑦 = 1 𝑥 – 2	2. 𝑦 = −3 𝑥 + 5

3. 3𝑥 + 2𝑦 = 12

Write the equation of the line with:

4. m = ½ and passing through the point (4, 3)

5. m = 2/3 and passing through the point (-3, -2)

For each graph below, write the equation of the line in slope-intercept form (y = mx + b).

6.

9.

7.

8.

See https://www.khanacademy.org/math/algebra-home/alg-basic-eq-ineq for more examples.

Practice:

Solve each equation below.

1. 6x + 2 = 14

2. 3x – 2 = x + 10

3. ¾ x + 2 = -7

4. 3(2x + 2) + 2(x – 7) = x + 3

Solve for the named variable.

5. 3x + 2y = 6 (for y)

6. y = mx + b (for b)

7. A = 0.5bh (for b)

Practice:

Use the Quadratic Formula to solve each of the following equations

1. 𝑥2 − 𝑥 − 6 = 0

2. 𝑥2 + 8𝑥 + 15 = 0

3. 4𝑥2 − 9𝑥 + 4 = 0

4. 2𝑥2 − 5𝑥 + 2 = 0

Practice:

Factor Completely

1. 𝑥2 − 𝑥 − 42

2. 𝑥2 + 18𝑥 + 81

3. 𝑥2 + 4𝑥 − 21

4. 3𝑥2 − 20𝑥 − 32

5. 4𝑥2 + 12𝑥 + 5

Practice:

Use factoring and the zero product property to find the x-intercepts of each quadratic equation below. Express your answer as an ordered pair(s).

1. 𝑦 = 𝑥2 − 3𝑥 + 2

2. 𝑦 = 𝑥2 − 𝑥 − 12

3. 𝑦 = 𝑥2 + 2𝑥 − 8

4. 𝑦 = 3𝑥2 − 13𝑥 + 4

5. 𝑦 = 𝑥2 + 6𝑥 + 9

Practice:

Practice: