Day Opener. 112; 156; a late start short period.

Size: px
Start display at page:

Download "Day Opener. 112; 156; a late start short period."

Transcription

1 Day Opener a) If the month is October then it has 31 days. True or false? What is the converse? Is the converse true or false? Explain. b) A football team runs 3 yards every play. If they started on the 17 yard line, how many plays will it take them to score a touchdown. c) What will the next term look like in this sequence? d) What is the average number of M&Ms eaten in one sitting by a person with a 1-pound bag of the candy. What about with a 2- pound bag? 112; 156; a late start short period. 1

2 2. Point of Concurrency Review 2

3 Day Opener a) What is being constructed in each picture? b) Find the slope between (3, 9) and (-2, 14). c) If the slope between (-2, 12) and (b, 10) is 2, what is b? d) Rank the following from shortest to longest: The distance across the United States. The Nile River. The length of the Great Wall of China. United States (3000 miles); Great Wall of China (4000 miles); Nile River (4132 miles) 3

4 Is this a good hand or a bad hand? Well... good or bad as compared to what? 2. Notes - Absolute Poker The following unit references the Absolute Poker cheating scandal, details on which you can find:

5 2. Notes - Absolute Poker The problem is, you re playing at least another person and you have no idea what he or she is holding. How much you wanna bet that your hand is better? 5

6 2. Notes - Absolute Poker Who won? 6 Lead into: how do poker hands rank, worst to best?

7 2. Notes - Absolute Poker High Card 7

8 2. Notes - Absolute Poker One Pair 8

9 2. Notes - Absolute Poker Two Pair 9

10 2. Notes - Absolute Poker Three of a Kind 10

11 2. Notes - Absolute Poker Straight 11

12 2. Notes - Absolute Poker Flush 12

13 2. Notes - Absolute Poker Full House 13

14 2. Notes - Absolute Poker Four of a Kind 14

15 2. Notes - Absolute Poker Straight Flush 15

16 2. Notes - Absolute Poker Royal Flush 16

17 2. Notes - Absolute Poker It costs you $10 to stay with the hand. Do you stick with it to the end or not? 17 What could your opponent have here?

18 2. Notes - Absolute Poker 18

19 2. Notes - Absolute Poker Talk about absolute poker. Talk about the STAKES. Talk about trust. 19

20 2. Notes - Absolute Poker crazymarco potripper 20

21 2. Notes - Absolute Poker crazymarco potripper What do you do if you re marco here? What do you do if you re potripper here? 21

22 2. Notes - Absolute Poker What do you do if you re marco here? What do you do if you re potripper here? 22

23 23

24 2. Notes - Absolute Poker 24

25 2. Notes - Absolute Poker like winning a million to one lottery... 25

26 2. Notes - Absolute Poker six times in a row

27 4. Notes - Parallel & Perpendicular Slopes SLOPE = 1.5 SLOPE = 1.5 Parallel lines have equal slopes. 27

28 5. Notes - Parallel & Perpendicular Slopes SLOPE = 5 2 SLOPE = 2 5 Perpendicular lines have negative reciprocal slopes. 28

29 6. Example Problem Are these lines parallel or perpendicular or neither? a) SLOPEa = 1/4 SLOPEb = 1/4 b) SLOPEa = -9/4 SLOPEb = 4/9 c) SLOPEa =.25 SLOPEb = -.25 d) SLOPEa = 1 SLOPEb = -1 e) The lines between (2, 3) to (5,12) and (-2, -3) to (-5, -2) 7. Classwork pg. 167 // #1-4, Break 9. Show and Tell 29

30 10. Algebra Review - Graphing Lines Graph: y = 3x Plug in x = 1 and 0 y = 3(1) + 5 = 8 (1, 8) y = 3(0) + 5 = 5 (0, 5) 30

31 10. Algebra Review - Graphing Lines Graph: 2x - 4y = 8 1. Plug in x = 1 and 0 2(1) - 4y = 8 2-4y = 8-4y = 6 y = -1.5 (1, -1.5) 2(0) - 4y = 8-4y = 8 y = -2 (0, -2) 31

32 10. Algebra Review - Graphing Lines EQUATION GRAPH pg. 212 // #1-3 EQUATION GRAPH 32

33 10. Algebra Review - Graphing Lines (3, 10) y = 2 x Find the slope (-1, 2) (-1) = 8 4 = 2 2. Plug in EITHER point 10 = 2(3) + B 10 = 6 + B 4 = B 33

34 10. Algebra Review - Graphing Lines EQUATION put up five equations here. pass out graph paper. pg. 212 // #1-3 GRAPH EQUATION pg. 212 // #4-9 GRAPH 34

35 2. Review Assignment pg. 191 // #

36 3. Review the Review Assignment 1. False, you use a compass and a straightedge. 2. False, it connects non-adjacent vertices. 3. True 4. True 5. False, the point doesn t have to be on the line segment. 6. False 7. False 8. True 9. True 10. False 11. A 12. K 13. I 14. H 15. G 16. D 17. J 18. C How many parts of a triangle are there? How many do I need to give you to guarantee you have a triangle? It depends. 36

37 Day Opener M a) Is the line through (16, -2) and (22, -4) parallel, perpendicular, or neither to the line through (3, 10) and (-2, -5). b) Complete the congruency statement for the figure below. L Q MQR R Z P c) Construct the inscribed circle of PEU. d) Drop a perpendicular from R. Build a perpendicular from M. e) What is the current record for The Cannonball Run? 31 hrs 4 min. 37

38 38

39 3. Review the Review Assignment 1. False, you use a compass and a straightedge. 2. False, it connects non-adjacent vertices. 3. True 4. True 5. False, the point doesn t have to be on the line segment. 6. False 7. False 8. True 9. True 10. False 11. A 12. K 13. I 14. H 15. G 16. D 17. J 18. C How many parts of a triangle are there? How many do I need to give you to guarantee you have a triangle? It depends. 39

40 2. Make A Triangle Construct triangle DEF. D D F E F E 40

41 2. Make A Triangle Construct triangle DEF. D D F E F E 41

42 2. Make A Triangle Construct triangle DEF. D E 42

43 2. Make A Triangle Construct triangle DEF. D E 43

44 2. Make A Triangle Construct triangle DEF. D E 44

45 2. Make A Triangle Construct triangle DEF. 5 3 D 13 E Q: What s the problem with this? A: They don t add up. 45

46 2. Make A Triangle Conjecture 8: Triangle Inequality Conjecture The sum of the lengths of any two sides of a triangle is greater than the length of the third side. 46

47 2. Make A Triangle Can the following lengths form a triangle? 1.4 mm 5 mm 10 mm 2. 2 ft 9 ft 13 ft 3. 5 cm 2 cm 4 cm 4. 7 ft 15 ft 13 ft 5.10 mm 3 mm 6 mm 6. 7 ft 7 ft 7 ft 7.10 mm 13 mm 5 mm 8. 8 m 7 m 1 m 9.9 mm 2 mm 1 mm mm 22 mm 13 mm mm 8 mm 12 mm mm 5 mm 3 mm 47

48 3. Notes - Side-Angle C a b B c A What s the biggest side? What s the biggest angle? b B What s the smallest side? What s the smallest angle? a A 48

49 3. Notes - Side-Angle a b 42 Rank the sides from greatest to least. b c a c A Rank the angles from greatest to least. 7 4 C A B B 5 C 49

50 3. Notes - Side-Angle Conjecture 9: Side-Angle Conjecture In a triangle, if one side is longer than another side, then angle opposite the longer side is larger than the other. 50

51 3. Notes - Side-Angle x x + y + z = 180 Conjecture 10: Triangle Sum Conjecture The sum of the measures of the angles in every triangle is 180. y z 51

52 4. Classwork pg. 201 // #2-9 pg. 216 // #1-13, Break 6. Show and Tell 52

53 7. Classwork Congruence Worksheet 8. Concept Quiz 53

Target 5.4: Use angle properties in triangles to determine unknown angle measurements 5.4: Parallel Lines and Triangles

Target 5.4: Use angle properties in triangles to determine unknown angle measurements 5.4: Parallel Lines and Triangles Unit 5 Parallel and Perpendicular Lines Target 5.1: Classify and identify angles formed by parallel lines and transversals 5.1 a Parallel and Perpendicular lines 5.1b Parallel Lines and its Angle Relationships

More information

Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 6 8. satspapers.org

Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 6 8. satspapers.org Ma KEY STAGE 3 Mathematics test TIER 6 8 Paper 1 Calculator not allowed First name Last name School 2009 Remember The test is 1 hour long. You must not use a calculator for any question in this test. You

More information

Name: Date: Chapter 2 Quiz Geometry. Multiple Choice Identify the choice that best completes the statement or answers the question.

Name: Date: Chapter 2 Quiz Geometry. Multiple Choice Identify the choice that best completes the statement or answers the question. Name: Date: Chapter 2 Quiz Geometry Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the value of x? Identify the missing justifications.,, and.

More information

2.3 Quick Graphs of Linear Equations

2.3 Quick Graphs of Linear Equations 2.3 Quick Graphs of Linear Equations Algebra III Mr. Niedert Algebra III 2.3 Quick Graphs of Linear Equations Mr. Niedert 1 / 11 Forms of a Line Slope-Intercept Form The slope-intercept form of a linear

More information

Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 5 7. satspapers.org

Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 5 7. satspapers.org Ma KEY STAGE 3 Mathematics test TIER 5 7 Paper 1 Calculator not allowed First name Last name School 2009 Remember The test is 1 hour long. You must not use a calculator for any question in this test. You

More information

Outcome 7 Review. *Recall that -1 (-5) means

Outcome 7 Review. *Recall that -1 (-5) means Outcome 7 Review Level 2 Determine the slope of a line that passes through A(3, -5) and B(-2, -1). Step 1: Remember that ordered pairs are in the form (x, y). Label the points so you can substitute into

More information

Name Period GEOMETRY CHAPTER 3 Perpendicular and Parallel Lines Section 3.1 Lines and Angles GOAL 1: Relationship between lines

Name Period GEOMETRY CHAPTER 3 Perpendicular and Parallel Lines Section 3.1 Lines and Angles GOAL 1: Relationship between lines Name Period GEOMETRY CHAPTER 3 Perpendicular and Parallel Lines Section 3.1 Lines and Angles GOAL 1: Relationship between lines Two lines are if they are coplanar and do not intersect. Skew lines. Two

More information

Warm-Up. Complete the second homework worksheet (the one you didn t do yesterday). Please begin working on FBF010 and FBF011.

Warm-Up. Complete the second homework worksheet (the one you didn t do yesterday). Please begin working on FBF010 and FBF011. Warm-Up Complete the second homework worksheet (the one you didn t do yesterday). Please begin working on FBF010 and FBF011. You have 20 minutes at the beginning of class to work on these three tasks.

More information

Geometry Unit 3 Note Sheets Date Name of Lesson. Slopes of Lines. Partitioning a Segment. Equations of Lines. Quiz

Geometry Unit 3 Note Sheets Date Name of Lesson. Slopes of Lines. Partitioning a Segment. Equations of Lines. Quiz Date Name of Lesson Slopes of Lines Partitioning a Segment Equations of Lines Quiz Introduction to Parallel and Perpendicular Lines Slopes and Parallel Lines Slopes and Perpendicular Lines Perpendicular

More information

Chapter 3 Linear Equations in Two Variables

Chapter 3 Linear Equations in Two Variables Chapter Linear Equations in Two Variables. Check Points. 6. x y x ( x, y) y ( ) 6, 6 y ( ), 0 y (0) 0, y () 0,0 y (),. E(, ) F(,0) G (6,0). a. xy 9 ( ) 9 69 9 9, true (, ) is a solution. b. xy 9 () 9 99

More information

UNC Charlotte 2012 Comprehensive

UNC Charlotte 2012 Comprehensive March 5, 2012 1. In the English alphabet of capital letters, there are 15 stick letters which contain no curved lines, and 11 round letters which contain at least some curved segment. How many different

More information

16. DOK 1, I will succeed." In this conditional statement, the underlined portion is

16. DOK 1, I will succeed. In this conditional statement, the underlined portion is Geometry Semester 1 REVIEW 1. DOK 1 The point that divides a line segment into two congruent segments. 2. DOK 1 lines have the same slope. 3. DOK 1 If you have two parallel lines and a transversal, then

More information

Lesson 2: Using the Number Line to Model the Addition of Integers

Lesson 2: Using the Number Line to Model the Addition of Integers : Using the Number Line to Model the Addition of Integers Classwork Exercise 1: Real-World Introduction to Integer Addition Answer the questions below. a. Suppose you received $10 from your grandmother

More information

CHAPTER 3. Parallel & Perpendicular lines

CHAPTER 3. Parallel & Perpendicular lines CHAPTER 3 Parallel & Perpendicular lines 3.1- Identify Pairs of Lines and Angles Parallel Lines: two lines are parallel if they do not intersect and are coplaner Skew lines: Two lines are skew if they

More information

Lesson 11: Linear Functions, Part 2

Lesson 11: Linear Functions, Part 2 Lesson 11 continues the study of linear functions. In this lesson, we look at how to write linear equations in slope-intercept and general form and applications where these may be used. We also look at

More information

Chapter 2: Functions and Graphs Lesson Index & Summary

Chapter 2: Functions and Graphs Lesson Index & Summary Section 1: Relations and Graphs Cartesian coordinates Screen 2 Coordinate plane Screen 2 Domain of relation Screen 3 Graph of a relation Screen 3 Linear equation Screen 6 Ordered pairs Screen 1 Origin

More information

m =... n =... Ks3 Revision material Level 7 1. Powers Work out the values of m and n = 5 m = 5 n 2. Multiplication grids

m =... n =... Ks3 Revision material Level 7 1. Powers Work out the values of m and n = 5 m = 5 n 2. Multiplication grids Ks3 Revision material Level 7 1. Powers Work out the values of m and n 5 8 5 4 = 5 m m =... 5 5 8 4 = 5 n n =... 2. Multiplication grids Write the missing numbers in these multiplication grids. 8 9 72

More information

8.2 Slippery Slopes. A Solidify Understanding Task

8.2 Slippery Slopes. A Solidify Understanding Task 7 8.2 Slippery Slopes A Solidify Understanding Task CC BY https://flic.kr/p/kfus4x While working on Is It Right? in the previous module you looked at several examples that lead to the conclusion that the

More information

Third Grade Mathematics

Third Grade Mathematics Standard 1: Number & Operation 3.M.1.1.1 Read, write, compare, and order whole numbers to 10,000. (287.01.a) and use numbers 38-40% and use numbers Content Limit: When comparing numbers between 1,000 and

More information

Use the Point-Slope Form to Write the Equation of a Line

Use the Point-Slope Form to Write the Equation of a Line Math 90 8.3 "Writing Equations of Lines" Objectives: * Use the point-slope form to write the equation of a line. * Use the slope-intercept form to write the equation of a line. * Use slope as an aid when

More information

Paper 2. Mathematics test. Calculator allowed. First name. Last name. School KEY STAGE TIER

Paper 2. Mathematics test. Calculator allowed. First name. Last name. School KEY STAGE TIER Ma KEY STAGE 3 TIER 6 8 2004 Mathematics test Paper 2 Calculator allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your

More information

Angles formed by Transversals

Angles formed by Transversals Section 3-1: Parallel Lines and Transversals SOL: None Objectives: Identify the relationships between two lines or two planes Name angles formed by a pair of lines and a transversal Vocabulary: Parallel

More information

6.00 Trigonometry Geometry/Circles Basics for the ACT. Name Period Date

6.00 Trigonometry Geometry/Circles Basics for the ACT. Name Period Date 6.00 Trigonometry Geometry/Circles Basics for the ACT Name Period Date Perimeter and Area of Triangles and Rectangles The perimeter is the continuous line forming the boundary of a closed geometric figure.

More information

constant EXAMPLE #4:

constant EXAMPLE #4: Linear Equations in One Variable (1.1) Adding in an equation (Objective #1) An equation is a statement involving an equal sign or an expression that is equal to another expression. Add a constant value

More information

MTH 103 Group Activity Problems (W2B) Name: Equations of Lines Section 2.1 part 1 (Due April 13) platform. height 5 ft

MTH 103 Group Activity Problems (W2B) Name: Equations of Lines Section 2.1 part 1 (Due April 13) platform. height 5 ft MTH 103 Group Activity Problems (W2B) Name: Equations of Lines Section 2.1 part 1 (Due April 13) Learning Objectives Write the point-slope and slope-intercept forms of linear equations Write equations

More information

Geometry Benchmark Assessment #1

Geometry Benchmark Assessment #1 Geometry Benchmark Assessment #1 Multiple Choice Circle the letter of the choice that best completes the statement or answers the question. 1. When the net is folded into the rectangular prism shown beside

More information

Slopes of of Parallel and and Perpendicular Lines Lines Holt Algebra 1

Slopes of of Parallel and and Perpendicular Lines Lines Holt Algebra 1 5-8 Slopes of of Parallel and and Lines Warm Up Lesson Presentation Lesson Quiz Bell Quiz 5-8 Find the reciprocal. 1. 2 2. 1 pt 1 pt 1 pt 3. 2 pts 2 pts 2 pts Find the slope of the line that passes through

More information

Downloaded from

Downloaded from Understanding Elementary Shapes 1 1.In the given figure, lines l and m are.. to each other. (A) perpendicular (B) parallel (C) intersect (D) None of them. 2.a) If a clock hand starts from 12 and stops

More information

Find the coordinates of the midpoint of a segment having the given endpoints.

Find the coordinates of the midpoint of a segment having the given endpoints. G.(2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to

More information

3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm.

3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm. 1 In the diagram below, ABC XYZ. 3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm. Which two statements identify

More information

Lesson 10.1 Skills Practice

Lesson 10.1 Skills Practice Lesson 10.1 Skills Practice Location, Location, Location! Line Relationships Vocabulary Write the term or terms from the box that best complete each statement. intersecting lines perpendicular lines parallel

More information

a. i and iii b. i c. ii and iii d. iii e. i, ii, and iii

a. i and iii b. i c. ii and iii d. iii e. i, ii, and iii March, 017 017 State Math Contest 1. In 005 the state of Florida enacted the Stand Your Ground Law. Which of the following statements are true based on the graph from the Florida Department of Law Enforcement?

More information

Individual 5 th Grade

Individual 5 th Grade Individual 5 th Grade Instructions: Problems 1 10 are multiple choice and count towards your team score. Bubble in the letter on your answer sheet. Be sure to erase all mistakes completely. 1. Which one

More information

Circles Assignment Answer the following questions.

Circles Assignment Answer the following questions. Answer the following questions. 1. Define constructions. 2. What are the basic tools that are used to draw geometric constructions? 3. What is the use of constructions? 4. What is Compass? 5. What is Straight

More information

Title: Quadrilaterals Aren t Just Squares

Title: Quadrilaterals Aren t Just Squares Title: Quadrilaterals ren t Just Squares Brief Overview: This is a collection of the first three lessons in a series of seven lessons studying characteristics of quadrilaterals, including trapezoids, parallelograms,

More information

TIalgebra.com Algebra 1

TIalgebra.com Algebra 1 Perpendicular Slopes ID: 8973 Time required 45 minutes Topic: Linear Functions Graph lines whose slopes are negative reciprocals and measure the angles to verify they are perpendicular. Activity Overview

More information

Math 1023 College Algebra Worksheet 1 Name: Prof. Paul Bailey September 22, 2004

Math 1023 College Algebra Worksheet 1 Name: Prof. Paul Bailey September 22, 2004 Math 1023 College Algebra Worksheet 1 Name: Prof. Paul Bailey September 22, 2004 Every vertical line can be expressed by a unique equation of the form x = c, where c is a constant. Such lines have undefined

More information

College Algebra Test 5 Review - Please note this review does not reflect all types of questions that may be asked on an exam.

College Algebra Test 5 Review - Please note this review does not reflect all types of questions that may be asked on an exam. College Algebra Test 5 Review - Please note this review does not reflect all types of questions that may be asked on an exam. Multiple Choice Identify the choice that best completes the statement or answers

More information

Find the value of the expressions. 3 x = 3 x = = ( ) 9 = 60 (12 + 8) 9 = = 3 9 = 27

Find the value of the expressions. 3 x = 3 x = = ( ) 9 = 60 (12 + 8) 9 = = 3 9 = 27 PreAlgebra Concepts Important Concepts exponent In a power, the number of times a base number is used as a factor order of operations The rules which tell which operation to perform first when more than

More information

Parallel and Perpendicular Lines on the Coordinate Plane

Parallel and Perpendicular Lines on the Coordinate Plane Did You Find a Parking Space? Parallel and Perpendicular Lines on the Coordinate Plane 1.5 Learning Goals Key Term In this lesson, you will: Determine whether lines are parallel. Identify and write the

More information

Assignment. Visiting Washington, D.C. Transversals and Parallel Lines

Assignment. Visiting Washington, D.C. Transversals and Parallel Lines Assignment Assignment for Lesson.1 Name Date Visiting Washington, D.C. Transversals and Parallel Lines Do not use a protractor in this assignment. Rely only on the measurements given in each problem. 1.

More information

A C E. Answers Investigation 3. Applications = 0.42 = = = = ,440 = = 42

A C E. Answers Investigation 3. Applications = 0.42 = = = = ,440 = = 42 Answers Investigation Applications 1. a. 0. 1.4 b. 1.2.54 1.04 0.6 14 42 0.42 0 12 54 4248 4.248 0 1,000 4 6 624 0.624 0 1,000 22 45,440 d. 2.2 0.45 0 1,000.440.44 e. 0.54 1.2 54 12 648 0.648 0 1,000 2,52

More information

Algebra/Geometry Session Problems Questions 1-20 multiple choice

Algebra/Geometry Session Problems Questions 1-20 multiple choice lgebra/geometry Session Problems Questions 1-0 multiple choice nswer only one choice: (a), (b), (c), (d), or (e) for each of the following questions. Only use a number pencil. Make heavy black marks that

More information

METHOD 1: METHOD 2: 4D METHOD 1: METHOD 2:

METHOD 1: METHOD 2: 4D METHOD 1: METHOD 2: 4A Strategy: Count how many times each digit appears. There are sixteen 4s, twelve 3s, eight 2s, four 1s, and one 0. The sum of the digits is (16 4) + + (8 2) + (4 1) = 64 + 36 +16+4= 120. 4B METHOD 1:

More information

Second Practice Test 1 Level 5-7

Second Practice Test 1 Level 5-7 Mathematics Second Practice Test 1 Level 5-7 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your school

More information

You MUST know the big 3 formulas!

You MUST know the big 3 formulas! Name 3-13 Review Geometry Period Date Unit 3 Lines and angles Review 3-1 Writing equations of lines. Determining slope and y intercept given an equation Writing the equation of a line given a graph. Graphing

More information

Mathematical Construction

Mathematical Construction Mathematical Construction Full illustrated instructions for the two bisectors: Perpendicular bisector Angle bisector Full illustrated instructions for the three triangles: ASA SAS SSS Note: These documents

More information

CK-12 Algebra II with Trigonometry Concepts 1

CK-12 Algebra II with Trigonometry Concepts 1 1.1 Subsets of Real Numbers 1. Rational Number. Irrational Number. Rational Number 4. Whole Number 5. Integer 6. Irrational Number 7. Real, Rational, Integer, Whole, and Natural Number 8. Real and Rational

More information

Geometry. Unit 3 Parallel and Perpendicular Lines. Name:

Geometry. Unit 3 Parallel and Perpendicular Lines. Name: Geometry Unit 3 Parallel and Perpendicular Lines Name: 1 Geometry Chapter 3 Parallel and Perpendicular Lines ***In order to get full credit for your assignments they must me done on time and you must SHOW

More information

ELMS CRCT ACADEMY 7TH GRADE MATH ( MATH)

ELMS CRCT ACADEMY 7TH GRADE MATH ( MATH) Name: Date: 1. The diagram below shows a geometric figure on a coordinate plane. Which of the diagrams below shows a rotation of this geometric figure? A. B. C. D. Permission has been granted for reproduction

More information

Math 152: Applicable Mathematics and Computing

Math 152: Applicable Mathematics and Computing Math 152: Applicable Mathematics and Computing May 8, 2017 May 8, 2017 1 / 15 Extensive Form: Overview We have been studying the strategic form of a game: we considered only a player s overall strategy,

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 17, :30 to 3:30 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 17, :30 to 3:30 p.m. GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, August 17, 2017 12:30 to 3:30 p.m., only Student Name: School Name: The possession or use of any communications

More information

Lesson 12: Unique Triangles Two Sides and a Non-Included Angle

Lesson 12: Unique Triangles Two Sides and a Non-Included Angle Lesson 12: Unique Triangles Two Sides and a Non-Included Angle Classwork Exploratory Challenge 1. Use your tools to draw, provided cm, cm, and. Continue with the rest of the problem as you work on your

More information

Grade 7, Unit 1 Practice Problems - Open Up Resources

Grade 7, Unit 1 Practice Problems - Open Up Resources Grade 7, Unit 1 Practice Problems - Open Up Resources Scale Drawings Lesson 1 Here is a gure that looks like the letter A, along with several other gures. Which gures are scaled copies of the original

More information

Rosa Parks Middle School. Summer Math Packet C2.0 Algebra Student Name: Teacher Name: Date:

Rosa Parks Middle School. Summer Math Packet C2.0 Algebra Student Name: Teacher Name: Date: Rosa Parks Middle School Summer Math Packet C2.0 Algebra Student Name: Teacher Name: Date: Dear Student and Parent, The purpose of this packet is to provide a review of objectives that were taught the

More information

State Math Contest (Junior)

State Math Contest (Junior) Name: Student ID: State Math Contest (Junior) Instructions: Do not turn this page until your proctor tells you. Enter your name, grade, and school information following the instructions given by your proctor.

More information

ACT Coordinate Geometry Review

ACT Coordinate Geometry Review ACT Coordinate Geometry Review Here is a brief review of the coordinate geometry concepts tested on the ACT. Note: there is no review of how to graph an equation on this worksheet. Questions testing this

More information

Slopes of Lines Notes What is slope?

Slopes of Lines Notes What is slope? Slopes of Lines Notes What is slope? Find the slope of each line. 1 Find the slope of each line. Find the slope of the line containing the given points. 6, 2!!"#! 3, 5 4, 2!!"#! 4, 3 Find the slope of

More information

CC Geometry H Aim #3: How do we rotate points 90 degrees on the coordinate plane? Do Now:

CC Geometry H Aim #3: How do we rotate points 90 degrees on the coordinate plane? Do Now: CC Geometry H Aim #3: How do we rotate points 90 degrees on the coordinate plane? Do Now: 1. a. Write the equation of the line that has a slope of m = and passes through the point (0, 3). Graph this equation

More information

Use Slope-Intercept Form to Write the Equation of a Line

Use Slope-Intercept Form to Write the Equation of a Line Math 35 2. "Writing Equations of Lines" Objectives: * Use the slope-intercept form to write the equation of a line. * Use the point-slope form to write the equation of a line. * Use slope as an aid when

More information

LINEAR EQUATIONS IN TWO VARIABLES

LINEAR EQUATIONS IN TWO VARIABLES LINEAR EQUATIONS IN TWO VARIABLES What You Should Learn Use slope to graph linear equations in two " variables. Find the slope of a line given two points on the line. Write linear equations in two variables.

More information

1.7 Parallel and Perpendicular Lines

1.7 Parallel and Perpendicular Lines Section 1.7 Parallel and Perpendicular Lines 11 Eplaining the Concepts 17. Name the five forms of equations of lines given in this section. 18. What tpe of line has one -intercept, but no -intercept? 19.

More information

MTEL General Curriculum Mathematics 03 Multiple Choice Practice Test A Debra K. Borkovitz, Wheelock College

MTEL General Curriculum Mathematics 03 Multiple Choice Practice Test A Debra K. Borkovitz, Wheelock College MTEL General Curriculum Mathematics 03 Multiple Choice Practice Test A Debra K. Borkovitz, Wheelock College Note: This test is the same length as the multiple choice part of the official test, and the

More information

9.3 Properties of Chords

9.3 Properties of Chords 9.3. Properties of Chords www.ck12.org 9.3 Properties of Chords Learning Objectives Find the lengths of chords in a circle. Discover properties of chords and arcs. Review Queue 1. Draw a chord in a circle.

More information

Lesson 3 Pre-Visit Perimeter and Area

Lesson 3 Pre-Visit Perimeter and Area Lesson 3 Pre-Visit Perimeter and Area Objective: Students will be able to: Distinguish between area and perimeter. Calculate the perimeter of a polygon whose side lengths are given or can be determined.

More information

1. Answer: 250. To reach 90% in the least number of problems involves Jim getting everything

1. Answer: 250. To reach 90% in the least number of problems involves Jim getting everything . Answer: 50. To reach 90% in the least number of problems involves Jim getting everything 0 + x 9 correct. Let x be the number of questions he needs to do. Then = and cross 50 + x 0 multiplying and solving

More information

In this section, we find equations for straight lines lying in a coordinate plane.

In this section, we find equations for straight lines lying in a coordinate plane. 2.4 Lines Lines In this section, we find equations for straight lines lying in a coordinate plane. The equations will depend on how the line is inclined. So, we begin by discussing the concept of slope.

More information

1. Answer: 250. To reach 90% in the least number of problems involves Jim getting everything

1. Answer: 250. To reach 90% in the least number of problems involves Jim getting everything 8 th grade solutions:. Answer: 50. To reach 90% in the least number of problems involves Jim getting everything 0 + x 9 correct. Let x be the number of questions he needs to do. Then = and cross 50 + x

More information

Name. Ms. Nong. Due on: Per: Geometry 2 nd semester Math packet # 2 Standards: 8.0 and 16.0

Name. Ms. Nong. Due on: Per: Geometry 2 nd semester Math packet # 2 Standards: 8.0 and 16.0 Name FRIDAY, FEBRUARY 24 Due on: Per: TH Geometry 2 nd semester Math packet # 2 Standards: 8.0 and 16.0 8.0 Students know, derive, and solve problems involving the perimeter, circumference, area, volume

More information

UNIT 6: CONJECTURE AND JUSTIFICATION WEEK 24: Student Packet

UNIT 6: CONJECTURE AND JUSTIFICATION WEEK 24: Student Packet Name Period Date UNIT 6: CONJECTURE AND JUSTIFICATION WEEK 24: Student Packet 24.1 The Pythagorean Theorem Explore the Pythagorean theorem numerically, algebraically, and geometrically. Understand a proof

More information

Roberto Clemente Middle School

Roberto Clemente Middle School Roberto Clemente Middle School Summer Math Packet for Students Entering Algebra I Name: 1. On the grid provided, draw a right triangle with whole number side lengths and a hypotenuse of 10 units. The

More information

Square Roots and the Pythagorean Theorem

Square Roots and the Pythagorean Theorem UNIT 1 Square Roots and the Pythagorean Theorem Just for Fun What Do You Notice? Follow the steps. An example is given. Example 1. Pick a 4-digit number with different digits. 3078 2. Find the greatest

More information

Lesson 9.1 Assignment

Lesson 9.1 Assignment Lesson 9.1 Assignment Name Date Earth Measure Introduction to Geometry and Geometric Constructions Use a compass and a straightedge to complete Questions 1 and 2. 1. Construct a flower with 12 petals by

More information

Paper 1. Mathematics test. Calculator not allowed. First name. Last name. School KEY STAGE TIER

Paper 1. Mathematics test. Calculator not allowed. First name. Last name. School KEY STAGE TIER Ma KEY STAGE 3 TIER 6 8 2003 Mathematics test Paper 1 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your

More information

2009 Leap Frog Relay Grades 6-8 Part I Solutions

2009 Leap Frog Relay Grades 6-8 Part I Solutions 2009 Leap Frog Relay Grades 6-8 Part I Solutions No calculators allowed Correct answer = 4, Incorrect answer =, Blank = 0. How many angles are there in the figure? (a) 4 (b) 6 (c) 7 (d) 8 (e) More than

More information

4.4 Equations of Parallel and Perpendicular

4.4 Equations of Parallel and Perpendicular www.ck12.org Chapter 4. Determining Linear Equations 4.4 Equations of Parallel and Perpendicular Lines Learning Objectives Determine whether lines are parallel or perpendicular. Write equations of perpendicular

More information

ONE. angles which I already know

ONE. angles which I already know Name Geometry Period ONE Ticket In Date Ticket In the Door! After watching the assigned video and learning how to construct a perpendicular line through a point, you will perform this construction below

More information

Sec Geometry - Constructions

Sec Geometry - Constructions Sec 2.2 - Geometry - Constructions Name: 1. [COPY SEGMENT] Construct a segment with an endpoint of C and congruent to the segment AB. A B C **Using a ruler measure the two lengths to make sure they have

More information

Hyperbolas Graphs, Equations, and Key Characteristics of Hyperbolas Forms of Hyperbolas p. 583

Hyperbolas Graphs, Equations, and Key Characteristics of Hyperbolas Forms of Hyperbolas p. 583 C H A P T ER Hyperbolas Flashlights concentrate beams of light by bouncing the rays from a light source off a reflector. The cross-section of a reflector can be described as hyperbola with the light source

More information

Let s Get This Started!

Let s Get This Started! Lesson 1.1 Assignment 1 Name Date Let s Get This Started! Points, Lines, Planes, Rays, and Line Segments 1. Identify each of the following in the figure shown. a. Name all points. W X p b. Name all lines.

More information

Grade 7 Middle School Mathematics Contest Select the list below for which the values are listed in order from least to greatest.

Grade 7 Middle School Mathematics Contest Select the list below for which the values are listed in order from least to greatest. Grade 7 Middle School Mathematics Contest 2004 1 1. Select the list below for which the values are listed in order from least to greatest. a. Additive identity, 50% of 1, two-thirds of 7/8, reciprocal

More information

math7thgradecrctreview (7thgrademathcrct)

math7thgradecrctreview (7thgrademathcrct) Name: Date: 1. A. 7 units to the right of zero. B. 7 units to the left of zero C. 7 units to the left and right of zero D. 7 units from zero 2. A car-rental agency charges $38 per day plus $0.21 for each

More information

MATHEMATICS UNIT 2: CALCULATOR-ALLOWED INTERMEDIATE TIER 1 HOUR 45 MINUTES

MATHEMATICS UNIT 2: CALCULATOR-ALLOWED INTERMEDIATE TIER 1 HOUR 45 MINUTES Candidate Name Centre Number 0 Candidate Number GCSE MATHEMATICS UNIT 2: CALCULATOR-ALLOWED INTERMEDIATE TIER 2 nd SPECIMEN PAPER SUMMER 2017 1 HOUR 45 MINUTES ADDITIONAL MATERIALS A calculator will be

More information

Actual testimonials from people that have used the survival guide:

Actual testimonials from people that have used the survival guide: Algebra 1A Unit: Coordinate Plane Assignment Sheet Name: Period: # 1.) Page 206 #1 6 2.) Page 206 #10 26 all 3.) Worksheet (SIF/Standard) 4.) Worksheet (SIF/Standard) 5.) Worksheet (SIF/Standard) 6.) Worksheet

More information

Part Mark Answer Further Information. Part Mark Answer Further Information Award 1 mark for 20, 15, 35 or. Part Mark Answer Further Information

Part Mark Answer Further Information. Part Mark Answer Further Information Award 1 mark for 20, 15, 35 or. Part Mark Answer Further Information Cambridge International Examinations Cambridge Checkpoint MATHEMATICS 1112/01 Paper 1 For Examination from 2014 SPECIMEN MARK SCHEME MAXIMUM MARK: 50 This document consists of 11 printed pages and 1 blank

More information

The Pythagorean Theorem 8.6.C

The Pythagorean Theorem 8.6.C ? LESSON 8.1 The Pythagorean Theorem ESSENTIAL QUESTION Expressions, equations, and relationships 8.6.C Use models and diagrams to explain the Pythagorean Theorem. 8.7.C Use the Pythagorean Theorem...

More information

Worksheet 10 Memorandum: Construction of Geometric Figures. Grade 9 Mathematics

Worksheet 10 Memorandum: Construction of Geometric Figures. Grade 9 Mathematics Worksheet 10 Memorandum: Construction of Geometric Figures Grade 9 Mathematics For each of the answers below, we give the steps to complete the task given. We ve used the following resources if you would

More information

0810ge. Geometry Regents Exam y # (x $ 3) 2 % 4 y # 2x $ 5 1) (0,%4) 2) (%4,0) 3) (%4,%3) and (0,5) 4) (%3,%4) and (5,0)

0810ge. Geometry Regents Exam y # (x $ 3) 2 % 4 y # 2x $ 5 1) (0,%4) 2) (%4,0) 3) (%4,%3) and (0,5) 4) (%3,%4) and (5,0) 0810ge 1 In the diagram below, ABC! XYZ. 3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm. Which two statements

More information

Ideas beyond Number. Activity worksheets

Ideas beyond Number. Activity worksheets Ideas beyond Number Activity sheet 1 Task 1 Some students started to solve this equation in different ways: For each statement tick True or False: = = = = Task 2: Counter-examples The exception disproves

More information

Summer Math Project 2010 Incoming grade Name

Summer Math Project 2010 Incoming grade Name Summer Math Project 2010 Incoming grade 7 2010-2011 Name This project is to be completed at home during the summer months and turned in to your seventh grade math teacher on September 10, 2010. Extra credit

More information

Problem of the Month What s Your Angle?

Problem of the Month What s Your Angle? Problem of the Month What s Your Angle? Overview: In the Problem of the Month What s Your Angle?, students use geometric reasoning to solve problems involving two dimensional objects and angle measurements.

More information

5. Determine the slope of a line that is perpendicular to the line through W( 9, 7) and X(6, 10). a. c. 15

5. Determine the slope of a line that is perpendicular to the line through W( 9, 7) and X(6, 10). a. c. 15 Math 101 Chapter 6 Review Multiple Choice Identif the choice that best completes the statement or answers the question. 1. Determine the slope of this line segment. A x 0 B. Determine the slope of the

More information

2-1 Inductive Reasoning and Conjecture

2-1 Inductive Reasoning and Conjecture Write a conjecture that describes the pattern in each sequence. Then use your conjecture to find the next item in the sequence. 18. 1, 4, 9, 16 1 = 1 2 4 = 2 2 9 = 3 2 16 = 4 2 Each element is the square

More information

UNC Charlotte 2012 Algebra

UNC Charlotte 2012 Algebra March 5, 2012 1. In the English alphabet of capital letters, there are 15 stick letters which contain no curved lines, and 11 round letters which contain at least some curved segment. How many different

More information

Algebra 1 Final Exam 4 B. 1, 2.5, 1 2, 0.75, 4 4, x 30. Name Period Score / 51pts.

Algebra 1 Final Exam 4 B. 1, 2.5, 1 2, 0.75, 4 4, x 30. Name Period Score / 51pts. Algebra 1 Final Exam Name Period Score / 51pts Multiple Choice: 1 pt each 1 List the numbers from least to greatest: 075, 4, 25, 1 2, 1 A 1 2, 075, 25, 1, 4 B 1, 25, 1 2, 075, 4 C 25, 1, 1 2, 075, 4 D

More information

a. b. c. d. 3. Ricky jogs 5 laps around a track in 8 minutes. Which of the following would be the same number of laps per minute?

a. b. c. d. 3. Ricky jogs 5 laps around a track in 8 minutes. Which of the following would be the same number of laps per minute? Indicate the answer choice that best completes the statement or answers the question. 1. Jake goes to the grocery store and buys 3 apples, 2 cans of soup, and 1 box of cereal. The apples cost $0.89 each;

More information

The Basics: Geometric Structure

The Basics: Geometric Structure Trinity University Digital Commons @ Trinity Understanding by Design: Complete Collection Understanding by Design Summer 6-2015 The Basics: Geometric Structure Danielle Kendrick Trinity University Follow

More information

Classwork Example 1: Exploring Subtraction with the Integer Game

Classwork Example 1: Exploring Subtraction with the Integer Game 7.2.5 Lesson Date Understanding Subtraction of Integers Student Objectives I can justify the rule for subtraction: Subtracting a number is the same as adding its opposite. I can relate the rule for subtraction

More information

Grade Tennessee Middle/Junior High School Mathematics Competition 1 of 8

Grade Tennessee Middle/Junior High School Mathematics Competition 1 of 8 Grade 6 0 Tennessee Middle/Junior High School Mathematics Competition of 8. What is the starting number in this flowchart? Start Multiply by 6 Subtract 4 Result: 3 Divide by a..5 is the starting number.

More information

The Mathematics of Playing Tic Tac Toe

The Mathematics of Playing Tic Tac Toe The Mathematics of Playing Tic Tac Toe by David Pleacher Although it has been shown that no one can ever win at Tic Tac Toe unless a player commits an error, the game still seems to have a universal appeal.

More information