Trigonometry Project Student Package
|
|
- Erik Owens
- 5 years ago
- Views:
Transcription
1 Trigonometry Project Student Package AWM11 Name: Date: What I can do in this unit 4-1a Label a right triangle with Opposite, Adjacent, and Hypotenuse. Level 4-1b Solve for side lengths of right triangles using the Pythagorean Theorem. 4-1c Solve for angles and lengths of right triangles using SOH CAH TOA. 4-2 Solve complex problems in the real world using right triangles. Code Value Description N Not Yet Meeting Expectations I just don t get it. MM Minimally Meeting Expectations Barely got it, I need some prompting to help solve the question. M Meeting Expectations Got it, I understand the concept without help or prompting. F Fully Meeting Expectations Strong understanding, I understand the concept without help or prompting. Almost nailed it, perhaps small mistakes or difficulty communicating methods used. E Exceeding Expectations Wow, nailed it! I can use this concept to solve problems I may have not seen in practice. I also get little details that may not be directly related to this target correct. For this project you will be working in groups of 5. I will be setting your groups. Each of you will be completing your own package (this one), but you will be working together for certain sections. You only need to make ONE clinometer per group. You will also be submitting only ONE presentation per group.
2 4-1a: I can label a right triangle with Opposite, Adjacent, and Hypotenuse. Label the following right triangles with respect to x with h (hypotenuse), o (opposite) and a (adjacent). 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16)
3 4-1b: I can solve for side lengths of right triangles using the Pythagorean Theorem. Find the missing length for each using the Pythagorean theorem. 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 4-1c: I can solve for angles and lengths of right triangles using SOH CAH TOA. Complete workbook p.248 #1 & 2 for angles of elevation and p. 252 #1 & 2 for angles of depression. 4-2: I can solve complex problems in the real world using right triangles. Build a clinometer using the provided info sheet. Complete the following Clinometer Worksheet (2 pages long).
4 Build a Clinometer: HOW: Create a clinometer, by following these steps. SOHCAHTOA! Carefully cut out the photocopied protractor. Glue it to your piece of cardboard. Carefully cut out the cardboard so that it is the shape of your protractor Cut a 4-inch piece of string, tape it to the middle of the protractor by your mark. It is important that you tape your string before you tape your straw. Tape your straw to the top flat end of your protractor. At the end of the string, tape a couple pennies (or nickels) to it. Your clinometer should look like this:
5 CLINOMETER WORKSHEET This worksheet will guide you through the steps necessary to use your clinometer to measure the height of any object. Answer the questions in complete sentences and in great detail. 1. Before you use the clinometer, you must understand how it works. In this project, everything you measure will be standing vertical to the ground. You will hold the straw of the clinometer to your eye and aim the straw so that you can see the very top of the object you are measuring (in the picture below it is the wall), the string line will naturally fall straight down (this is called plumb). Below is a diagram of how this will work. 2. What do you notice about the relationship between the string line and the line of the wall? 3. The picture below shows a close up version of the string line, clinometer, and line of the wall. What do you notice about the relationship between angle A and angle B? 4. What does this mean for the values of angles B and A using the knowledge you have of the relationship between the string line and line of the wall (question 2)?
6 5. Now that we have established that angles B and A will be (FILL IN THE BLANK). We can create a right triangle between your eye and the object you are measuring. For the case of measuring the height of a wall the triangle will look like this: Line XZ is the line of sight (the line you will form by aiming the straw at the corner) Line XY is the wall or the object you are measuring. Line ZY is the horizontal distance you are standing away from what you are measuring. 6. There is one side of the triangle that you can measure. Which side would it be? (XZ, XY, or ZY) 7. You can determine the measure of angle A from angle B (angle B will show on your clinometer see question 4) and from question 6 above you can measure side. With this information you can use one of your trig functions to find a measurement for side XY the vertical distance of the height of the object to the height of your eye.
7 8. On triangle XZY (taken from the picture) below label the known angle, A, the known side, d (distance), and the unknown side, h (height), that you will be solving for. 9. With this information, what trig function (cos, sin, or tan) will you use to solve for side XY. Write an equation using A, d and h as labelled above in question The final step is once you know the length of XY, adding to XY the height from your eye to the bottom of the ground. 11. Using the steps outlined above measure the height of one of your classroom walls. As you know now, you will need to measure the distance you stand from the wall, and the distance from your eye to the ground. Then you will aim the clinometer at the top corner of the wall and measure angle B (see question 4). Work together with people in your group it will be hard to read the angle on your own clinometer. 12. After you have this information complete the sketch below by putting in the correct distances and angles.
8 13. Using your measurements use the correct trig function (see question 9) and solve for the distance of side XY, and then for the height of the wall (XG). Show all your work. 14. Compare your measurement with your group members. As a group, measure the height of the wall using a measuring tape. How close were you? 15. Tree outside: We will go outside as a group and measure the tree out front.
Measuring Trees Activity
What is a Clinometer? Measuring Trees Activity It is an instrument for measuring slope angle of a line of sight. It is included in some compasses. How to make a Clinometer? Materials Needed: piece of cardboard
More informationAssignment 1 and 2: Complete practice worksheet: Simplifying Radicals and check your answers
Geometry 0-03 Summary Notes Right Triangles and Trigonometry These notes are intended to be a guide and a help as you work through Chapter 8. These are not the only thing you need to read, however. Rely
More information: SINE, COSINE, & TANGENT RATIOS
Geometry Notes Packet Name: 9.2 9.4: SINE, COSINE, & TANGENT RATIOS Trigonometric Ratios A ratio of the lengths of two sides of a right triangle. For any acute angle, there is a leg Opposite the angle
More informationWarm Up 1. What is the third angle measure in a triangle with angles measuring 65 and 43? 72
Warm Up 1. What is the third angle measure in a triangle with angles measuring 65 and 43? 72 Find each value. Round trigonometric ratios to the nearest hundredth and angle measures to the nearest degree.
More informationGeometry Right Triangles and Trigonometry
Geometry Right Triangles and Trigonometry Day Date lass Homework Th 2/16 F 2/17 N: Special Right Triangles & Pythagorean Theorem Right Triangle & Pythagorean Theorem Practice Mid-Winter reak WKS: Special
More informationThe Primary Trigonometric Ratios Word Problems
. etermining the measures of the sides and angles of right triangles using the primary ratios When we want to measure the height of an inaccessible object like a tree, pole, building, or cliff, we can
More informationIndirect Measurement Technique: Using Trigonometric Ratios Grade Nine
Ohio Standards Connections Measurement Benchmark D Use proportional reasoning and apply indirect measurement techniques, including right triangle trigonometry and properties of similar triangles, to solve
More informationThroughout this chapter you will need: pencil ruler protractor. 7.1 Relationship Between Sides in Rightangled. 13 cm 10.5 cm
7. Trigonometry In this chapter you will learn aout: the relationship etween the ratio of the sides in a right-angled triangle solving prolems using the trigonometric ratios finding the lengths of unknown
More informationHave both a magnitude and direction Examples: Position, force, moment
Force Vectors Vectors Vector Quantities Have both a magnitude and direction Examples: Position, force, moment Vector Notation Vectors are given a variable, such as A or B Handwritten notation usually includes
More informationDay 6: Angles of Depression and Elevation. Unit 5: Trigonometric Functions
+ Day 6: Angles of Depression and Elevation Unit 5: Trigonometric Functions Warm Up + n Find the missing side length 1) 2) n Find the missing angle 10 minutes 3) 4) End + Homework Check + Today s Objective
More informationMath ACT Slam. 3. The less difficult questions are at the of the test, and the questions typically get more difficult throughout the test.
Math ACT Slam ACT Math Quick Facts: 1. minutes to answer questions. 2. Questions in the math section contain answer choices. 3. The less difficult questions are at the of the test, and the questions typically
More informationJan 1 4:08 PM. We write this in a shorter manner for simplicity. leg
Review Pythagorean Theorem Jan 1 4:08 PM We write this in a shorter manner for simplicity. leg hyp leg or a c b Note, the last statement can be misleading if the letters used are not in the correct position.
More informationSOH CAH TOA. b c. sin opp. hyp. cos adj. hyp a c. tan opp. adj b a
SOH CAH TOA sin opp hyp b c c 2 a 2 b 2 cos adj hyp a c tan opp adj b a Trigonometry Review We will be focusing on triangles What is a right triangle? A triangle with a 90º angle What is a hypotenuse?
More informationThe Primary Trigonometric Ratios Word Problems
The Primary Trigonometric Ratios Word Problems A. Determining the measures of the sides and angles of right triangles using the primary ratios When we want to measure the height of an inaccessible object
More informationSTUDY GUIDE ANSWER KEY
STUDY GUIDE ANSWER KEY 1) (LT 4A) Graph and indicate the Vertical Asymptote, Horizontal Asymptote, Domain, -intercepts, and y- intercepts of this rational function. 3 2 + 4 Vertical Asymptote: Set the
More informationChapter 8 Test Wednesday 3/28
Chapter 8 Test Wednesday 3/28 Warmup Pg. 487 #1-4 in the Geo book 5 minutes to finish 1 x = 4.648 x = 40.970 x = 6149.090 x = -5 What are we learning today? Pythagoras The Rule of Pythagoras Using Pythagoras
More informationThe graph of a proportional relation always contains the origin and has a slope equal to the constant of proportionality.
Chapter 11.1 Ratios and Rates A ratio is a comparison of two numbers, a and b, by division. The numbers a and b are called terms of the ratio. A ratio can be expressed in three different ways. 1. Word
More informationTrigonometric Functions. Copyright Cengage Learning. All rights reserved.
4 Trigonometric Functions Copyright Cengage Learning. All rights reserved. 4.3 Right Triangle Trigonometry Copyright Cengage Learning. All rights reserved. What You Should Learn Evaluate trigonometric
More informationSquare Root Functions 10.1
Square Root Functions 10.1 Square Root Function contains the square root of the variable. Parent Function: f ( x) = Type of Graph: Curve Domain: x 0 Range: y 0 x Example 1 Graph f ( x) = 2 x and state
More informationLesson 7. Chapter 3: Two-Dimensional Kinematics COLLEGE PHYSICS VECTORS. Video Narrated by Jason Harlow, Physics Department, University of Toronto
COLLEGE PHYSICS Chapter 3: Two-Dimensional Kinematics Lesson 7 Video Narrated by Jason Harlow, Physics Department, University of Toronto VECTORS A quantity having both a magnitude and a direction is called
More informationCourse Learning Objectives: Demonstrate an understanding of trigonometric functions and their applications.
Right Triangle Trigonometry Video Lecture Section 8.1 Course Learning Objectives: Demonstrate an understanding of trigonometric functions and their applications. Weekly Learning Objectives: 1)Find the
More informationMathematics 10C. UNIT ONE Measurement. Unit. Student Workbook. Lesson 1: Metric and Imperial Approximate Completion Time: 3 Days
Mathematics 10C Student Workbook Unit 1 0 1 2 Lesson 1: Metric and Imperial Approximate Completion Time: 3 Days Lesson 2: Surface Area and Volume Approximate Completion Time: 2 Days hypotenuse adjacent
More informationPrecalculus with Trigonometry Honors Summer Packet
Precalculus with Trigonometry Honors Summer Packet Welcome to Precalculus with Trigonometry Honors! We look forward to guiding you through an informative and eciting year en route to Calculus! In order
More information8.6 Inverse Trigonometric Ratios
www.ck12.org Chapter 8. Right Triangle Trigonometry 8.6 Inverse Trigonometric Ratios Learning Objectives Use the inverse trigonometric ratios to find an angle in a right triangle. Solve a right triangle.
More informationDue Next Class: U2.HW2.Vectors All. Do Now: 1. Walk in silently. 2. Grab a calculator and any papers for today.
Do Now: 1. Walk in silently. Due Next Class: U2.HW2.Vectors All 2. Grab a calculator and any papers for today. 1. If the cliff is 35m high, 2. how far from the bottom 3. of the cliff will the ball hit
More informationRadicals and Pythagorean Theorem Date: Per:
Math 2 Unit 7 Worksheet 1 Name: Radicals and Pythagorean Theorem Date: Per: [1-12] Simplify each radical expression. 1. 75 2. 24. 7 2 4. 10 12 5. 2 6 6. 2 15 20 7. 11 2 8. 9 2 9. 2 2 10. 5 2 11. 7 5 2
More informationAlgebra II Standard Term 4 Review packet Test will be 60 Minutes 50 Questions
Algebra II Standard Term Review packet 2017 NAME Test will be 0 Minutes 0 Questions DIRECTIONS: Solve each problem, choose the correct answer, and then fill in the corresponding oval on your answer document.
More informationUnit 2 - The Trigonometric Functions - Classwork
Unit 2 - The Trigonometric Functions - Classwork Given a right triangle with one of the angles named ", and the sides of the triangle relative to " named opposite, adjacent, and hypotenuse (picture on
More informationTrig. Trig is also covered in Appendix C of the text. 1SOHCAHTOA. These relations were first introduced
Trig Trig is also covered in Appendix C of the text. 1SOHCAHTOA These relations were first introduced for a right angled triangle to relate the angle,its opposite and adjacent sides and the hypotenuse.
More informationChapter 2: Trigonometry
Chapter 2: Trigonometry Section 2.1 Chapter 2: Trigonometry Section 2.1: The Tangent Ratio Sides of a Right Triangle with Respect to a Reference Angle Given a right triangle, we generally label its sides
More information. For each problem you must set up equations, draw and label triangles, and answer the question(s) in a complete sentence
Name Trig Tasks For these tasks, you have been hired by World Wide Engineering (WWE) and you will travel around the world to solve real life problems using trigonometry. You will be completing a series
More informationPrimary Trigonometric Ratios
What s important in this lesson: Suggested time: 75 minutes Primary Trigonometric Ratios MFM2P1 Unit4 Lesson3 StudentinstructionSheet Questions for the teacher: 2. Assessment and Evaluation Sheet 1. The
More informationPre-AP Geometry 8-2 Study Guide: Trigonometric Ratios (pp ) Page! 1 of! 14
Pre-AP Geometry 8-2 Study Guide: Trigonometric Ratios (pp 541-544) Page! 1 of! 14 Attendance Problems. Write each fraction as a decimal rounded to the nearest hundredths. 2 7 1.! 2.! 3 24 Solve each equation.
More informationUnit Circle. Return to. Contents
Unit Circle Return to Table of Contents 32 The Unit Circle The circle x 2 + y 2 = 1, with center (0,0) and radius 1, is called the unit circle. Quadrant II: x is negative and y is positive (0,1) 1 Quadrant
More informationBULLET TRAJECTORY. Concepts and Calculations
BULLET TRAJECTORY Concepts and Calculations WHAT IS A FORCE? Strength or energy from a physical action or movement Something that causes a change in the motion of an object. Mass X Acceleration (kg m/s
More informationAssumption High School BELL WORK. Academic institution promoting High expectations resulting in Successful students
BELL WORK Geometry 2016 2017 Day 51 Topic: Chapter 8.3 8.4 Chapter 8 Big Ideas Measurement Some attributes of geometric figures, such as length, area, volume, and angle measure, are measurable. Units are
More informationMath 2 Trigonometry. People often use the acronym SOHCAHTOA to help remember which is which. In the triangle below: = 15
Math 2 Trigonometry 1 RATIOS OF SIDES OF A RIGHT TRIANGLE Trigonometry is all about the relationships of sides of right triangles. In order to organize these relationships, each side is named in relation
More informationMath 144 Activity #7 Trigonometric Identities
144 p 1 Math 144 Activity #7 Trigonometric Identities What is a trigonometric identity? Trigonometric identities are equalities that involve trigonometric functions that are true for every single value
More informationGeometry Warm Up Right Triangles Day 8 Date
Geometry Warm Up Right Triangles Day 8 Name Date Questions 1 4: Use the following diagram. Round decimals to the nearest tenth. P r q Q p R 1. If PR = 12 and m R = 19, find p. 2. If m P = 58 and r = 5,
More informationMathematics Revision Guide. Shape and Space. Grade C B
Mathematics Revision Guide Shape and Space Grade C B 1 A of = b h 2 Area 6cm = 10 6 2 = 60 2 8cm = 30cm 2 6cm 12cm A of = (a+b) h 2 = (6+12) 5 2 = (18) 5 2 = 90 2 = 4 2 7cm 1 6cm A of = π r r = π 6 6 =
More informationAlgebra and Trig. I. P=(x,y) 1 1. x x
Algebra and Trig. I 4.3 Right Angle Trigonometry y P=(x,y) y P=(x,y) 1 1 y x x x We construct a right triangle by dropping a line segment from point P perpendicular to the x-axis. So now we can view as
More informationDecimals. can be written as a terminating. factor. (1 mark) (1 mark) (2 marks) (b) 25. (1 mark) (1 mark) (1 mark)
Nailed it!nailed it!number HadNearly a go there Nearly there Had a look NUMBER Decimals Factors, multiples and primes Write thesemultiples s in order of size. Start withprimes the smallest. Factors and
More informationName Date Period Notes Formal Geometry Chapter 8 Right Triangles and Trigonometry 8.1 Geometric Mean. A. Definitions: 1.
Name Date Period Notes Formal Geometry Chapter 8 Right Triangles and Trigonometry 8.1 Geometric Mean A. Definitions: 1. Geometric Mean: 2. Right Triangle Altitude Similarity Theorem: If the altitude is
More informationPhysics Pretest Topics:
Physics Pretest Topics: This is a list of the topics and methods in mathematics that you will be expected to do on a regular basis in your Physics class. At this level of your education, you should have
More informationTrigonometry Learning Strategies. What should students be able to do within this interactive?
Trigonometry Learning Strategies What should students be able to do within this interactive? Identify a right triangle. Identify the acute reference angles. Recognize and name the sides, and hypotenuse
More informationObjectives and Essential Questions
VECTORS Objectives and Essential Questions Objectives Distinguish between basic trigonometric functions (SOH CAH TOA) Distinguish between vector and scalar quantities Add vectors using graphical and analytical
More informationIntroduction Assignment
PRE-CALCULUS 11 Introduction Assignment Welcome to PREC 11! This assignment will help you review some topics from a previous math course and introduce you to some of the topics that you ll be studying
More informationFoundations of Math II Unit 4: Trigonometry
Foundations of Math II Unit 4: Trigonometry Academics High School Mathematics 4.1 Warm Up 1) a) Accurately draw a ramp which forms a 14 angle with the ground, using the grid below. b) Find the height of
More informationCh. 2 Trigonometry Notes
First Name: Last Name: Block: Ch. 2 Trigonometry Notes 2.1 THE TANGENT RATIO 2 Ch. 2.1 HW: p. 75 #3 16, 19 4 2.2 USING THE TANGENT RATIO TO CALCULATE LENGTHS 5 Ch. 2.2 HW: p. 82 # 3 5 (a, c), #6 14 6 2.4
More information(A) 6.79 s (B) s (C) s (D) s (E) s. Question
AP Physics - Problem Drill 02: Basic Math for Physics No. 1 of 10 1. Solve the following equation for time (with the correct number of significant figures): (A) 6.79 s (B) 6.785 s (C) 0.147 s (D) 0.1474
More informationTrigonometric ratios:
0 Trigonometric ratios: The six trigonometric ratios of A are: Sine Cosine Tangent sin A = opposite leg hypotenuse adjacent leg cos A = hypotenuse tan A = opposite adjacent leg leg and their inverses:
More informationOVERVIEW Use Trigonometry & Pythagorean Theorem to Solve G.SRT.8
OVERVIEW Use Trigonometry & Pythagorean Theorem to Solve G.SRT.8 G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. No surprises here. Use trigonometry
More informationMath 11 Review Trigonometry
Math 11 Review Trigonometry Short Answer 1. Determine the measure of D to the nearest tenth of a degree. 2. Determine the measure of D to the nearest tenth of a degree. 3. Determine the length of side
More information1. Make a sketch of the triangles shown below and mark on each triangle the hypotenuse, the opposite and the adjacent sides to the angle. a b c.
Chapter 16 Trigonometry Exercise 16.1 1. Make a sketch of the triangles shown below and mark on each triangle the hypotenuse, the opposite and the adjacent sides to the angle. adj 2. Use the tangent (or
More informationLesson 1-Tree Measurement 1- Diameter at Breast Height (DBH)
Forestry and Ecology Teaching Units Name: Bryan Boughton Submitted: 09/01/11 Unit Description: In an attempt to connect classroom learning with real-world applications, this unit will give students experience
More informationVectors. Chapter 3. Arithmetic. Resultant. Drawing Vectors. Sometimes objects have two velocities! Sometimes direction matters!
Vectors Chapter 3 Vector and Vector Addition Sometimes direction matters! (vector) Force Velocity Momentum Sometimes it doesn t! (scalar) Mass Speed Time Arithmetic Arithmetic works for scalars. 2 apples
More informationPhysics 11 Reading Booklet
In Order complete the Physics 11 Substantive Assignment, you must read and complete the self-marking exercises in this booklet. 1. Read all the information provided. 2. Complete the Practice and Self Check
More informationAlgebra. Trigonometry
MBF3C Exam Review January 14, 2014 Exam Date / Time/ Room: January 28, 2014 8:30 10:30am Room 243 *Calculators can t be shared* * You need to bring a working scientific calculator* - no SmartPhone or ipod
More informationChapter 4 Trigonometric Functions
Chapter 4 Trigonometric Functions Overview: 4.1 Radian and Degree Measure 4.2 Trigonometric Functions: The Unit Circle 4.3 Right Triangle Trigonometry 4.4 Trigonometric Functions of Any Angle 4.5 Graphs
More informationSURVEYING THE ANCIENT WORLD
Teacher s Guide Getting Started Heather Gould Stone Ridge, NY Purpose In this two-day lesson, students will construct and use a simple version of an ancient tool called an astrolabe. This tool measures
More informationPythagoras Theorem. What it is: When to use: What to watch out for:
Pythagoras Theorem a + b = c Where c is the length of the hypotenuse and a and b are the lengths of the other two sides. Note: Only valid for right-angled triangles! When you know the lengths of any two
More informationVectors in Component Form
Vectors in Component Form Student Activity - Answers 7 8 9 10 11 12 Introduction TI-Nspire & TI-Nspire CAS Investigation Student 30 min Vectors are used to represent quantities that have both magnitude
More informationAs we know, the three basic trigonometric functions are as follows: Figure 1
Trigonometry Basic Functions As we know, the three basic trigonometric functions are as follows: sin θ = cos θ = opposite hypotenuse adjacent hypotenuse tan θ = opposite adjacent Where θ represents an
More informationPerformance Based Learning and Assessment Task Trouble in the Orchard I. ASSESSSMENT TASK OVERVIEW & PURPOSE: The students will use a geometric model
Performance Based Learning and Assessment Task Trouble in the Orchard I. ASSESSSMENT TASK OVERVIEW & PURPOSE: The students will use a geometric model and right angle trigonometry to solve a real life problem
More informationIntroduction Assignment
FOUNDATIONS OF MATHEMATICS 11 Welcome to FOM 11! This assignment will help you review some topics from a previous math course and introduce you to some of the topics that you ll be studying this year.
More informationPrerequisite Skills. y x =
Prerequisite Skills BLM 1 1... Solve Equations 1. Solve. 2x + 5 = 11 x 5 + 6 = 7 x 2 = 225 d) x 2 = 24 2 + 32 2 e) 60 2 + x 2 = 61 2 f) 13 2 12 2 = x 2 The Pythagorean Theorem 2. Find the measure of the
More informationPart II) Practice Problems
Part II) Practice Problems 1. Calculate the value of to the nearest tenth: sin 38 80 2. Calculate the value of y to the nearest tenth: y cos 52 80 3. Calculate the value of to the nearest hundredth: tan
More informationMath 1201 Review Chapter 2
Math 1201 Review hapter 2 Multiple hoice Identify the choice that best completes the statement or answers the question. 1. etermine tan Q and tan R. P 12 Q 16 R a. tan Q = 0.428571; tan R = 0.75 c. tan
More informationTrigonometry Unit 5. Reflect previous TEST mark, Overall mark now. Looking back, what can you improve upon?
1 U n i t 5 11C Date: Name: Tentative TEST date Trigonometry Unit 5 Reflect previous TEST mark, Overall mark now. Looking back, what can you improve upon? Learning Goals/Success Criteria Use the following
More informationLesson 1: Trigonometry Angles and Quadrants
Trigonometry Lesson 1: Trigonometry Angles and Quadrants An angle of rotation can be determined by rotating a ray about its endpoint or. The starting position of the ray is the side of the angle. The position
More informationCamp and Learn: A Nature Study in Four Parts. Sample file. Created by Sarah Dugger, 212Mom, Inc. 2011, all rights reserved.
Camp and Learn: A Nature Study in Four Parts Dear Parents, This Camp and Learn study is designed for older students, ideally high school age students. It could definitely be enjoyed by younger students
More informationUnit 2 Math II - History of Trigonometry
TSK # Unit Math II - History of Trigonometry The word trigonometry is of Greek origin and literally translates to Triangle Measurements. Some of the earliest trigonometric ratios recorded date back to
More informationGuest Lecture Friday. Test schedule. SOH CAH TOA! For right triangles. Review and Problem Solving Day: Geometry, movement, and Free-fall.
Review and Problem Solving Day: Geometry, movement, and Free-fall. Guest Lecture Friday He d welcome your feedback! Write something and put it in my mailbox at 111 White Hall. Email me: sarah.spolaor@mail.wvu.edu
More information2018 Arizona State University Page 1 of 16
NAME: MATH REFRESHER ANSWER SHEET (Note: Write all answers on this sheet and the following graph page.) 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27.
More informationT.4 Applications of Right Angle Trigonometry
424 section T4 T.4 Applications of Right Angle Trigonometry Solving Right Triangles Geometry of right triangles has many applications in the real world. It is often used by carpenters, surveyors, engineers,
More informationKids Garden Teacher s Guide: Grade 3
Kids Garden Teacher s Guide: Grade 3 California Content Standards Grade 2 Science: 2a, 6a, 6c, 6d, 6e What s Going On? The Kids Garden gives children the opportunity to explore the natural community of
More informationGENERAL SCIENCE LABORATORY 181. Parallax Lab DISTANCES TO NEARBY STARS. To find the distance to an object with the concept of parallax
GENERAL SCIENCE LABORATORY 181 Parallax Lab DISTANCES TO NEARBY STARS OBJECTIVE To find the distance to an object with the concept of parallax THEORY Parallax effect is one experimental observation to
More informationTrig Functions Learning Outcomes
1 Trig Functions Learning Outcomes Solve problems about trig functions in right-angled triangles. Solve problems using Pythagoras theorem. Solve problems about trig functions in all quadrants of a unit
More informationGeometry The Unit Circle
Geometry The Unit Circle Day Date Class Homework F 3/10 N: Area & Circumference M 3/13 Trig Test T 3/14 N: Sketching Angles (Degrees) WKS: Angles (Degrees) W 3/15 N: Arc Length & Converting Measures WKS:
More informationMath 3c Solutions: Exam 1 Fall Graph by eliiminating the parameter; be sure to write the equation you get when you eliminate the parameter.
Math c Solutions: Exam 1 Fall 16 1. Graph by eliiminating the parameter; be sure to write the equation you get when you eliminate the parameter. x tan t x tan t y sec t y sec t t π 4 To eliminate the parameter,
More informationCoordinate Systems. Chapter 3. Cartesian Coordinate System. Polar Coordinate System
Chapter 3 Vectors Coordinate Systems Used to describe the position of a point in space Coordinate system consists of a fixed reference point called the origin specific axes with scales and labels instructions
More information08/01/2017. Trig Functions Learning Outcomes. Use Trig Functions (RAT) Use Trig Functions (Right-Angled Triangles)
1 Trig Functions Learning Outcomes Solve problems about trig functions in right-angled triangles. Solve problems using Pythagoras theorem. Solve problems about trig functions in all quadrants of a unit
More informationAP Physics 1 Mr. Perkins June 2014 SUMMER WORK FOR AP PHYSICS 1 STUDENTS
AP Physics 1 Mr. Perkins June 2014 SUMMER WORK FOR 2014-2015 AP PHYSICS 1 STUDENTS 1. Read Chapter 1 of Textbook (Giancoli pp.1-17). Make a list of questions about any topics you would like clarified on
More informationAP-B Physics Math Review and Summer Work
AP-B Physics Math Review and Summer Work Name I. Physics, and AP Physics in particular, requires an exceptional proficiency in algebra, trigonometry, and geometry. In addition to the science concepts Physics
More information#12 Algebra 2 Notes Using Trig in Real Life
#12 Algebra 2 Notes 13.1 Using Trig in Real Life #12 Algebra 2 Notes: 13.1 using Trig in Real Life Angle of Elevation Angle of Elevation means you are looking upward and is usually measured from the ground
More information2. Pythagorean Theorem:
Chapter 4 Applications of Trigonometric Functions 4.1 Right triangle trigonometry; Applications 1. A triangle in which one angle is a right angle (90 0 ) is called a. The side opposite the right angle
More informationLesson 16: Applications of Trig Ratios to Find Missing Angles
: Applications of Trig Ratios to Find Missing Angles Learning Targets I can find a missing angle in a right triangle diagram and apply this to real world situation Opening Exercise Find the shadow cast
More informationGeometry Unit 7 - Notes Right Triangles and Trigonometry
Geometry Unit 7 - Notes Right Triangles and Trigonometry Review terms: 1) right angle ) right triangle 3) adjacent 4) Triangle Inequality Theorem Review topic: Geometric mean a = = d a d Syllabus Objective:
More informationTrigonometry Math 076
Trigonometry Math 076 133 Right ngle Trigonometry Trigonometry provides us with a way to relate the length of sides of a triangle to the measure of its angles. There are three important trigonometric functions
More informationThe No Calculators Pages
Trigonometry Summer 2005 Name: The No Calculators Pages Instructions: See front page for general instructions. Finish this page before going to the rest. You may not return to this page once you turn on
More informationA. Incorrect! For a point to lie on the unit circle, the sum of the squares of its coordinates must be equal to 1.
Algebra - Problem Drill 19: Basic Trigonometry - Right Triangle No. 1 of 10 1. Which of the following points lies on the unit circle? (A) 1, 1 (B) 1, (C) (D) (E), 3, 3, For a point to lie on the unit circle,
More information5.5 Special Rights. A Solidify Understanding Task
SECONDARY MATH III // MODULE 5 MODELING WITH GEOMETRY 5.5 In previous courses you have studied the Pythagorean theorem and right triangle trigonometry. Both of these mathematical tools are useful when
More informationName: Math Analysis Chapter 3 Notes: Exponential and Logarithmic Functions
Name: Math Analysis Chapter 3 Notes: Eponential and Logarithmic Functions Day : Section 3-1 Eponential Functions 3-1: Eponential Functions After completing section 3-1 you should be able to do the following:
More informationVectors. An Introduction
Vectors An Introduction There are two kinds of quantities Scalars are quantities that have magnitude only, such as position speed time mass Vectors are quantities that have both magnitude and direction,
More informationAP Physics 1 Summer Assignment-2018
AP Physics 1 Summer Assignment-2018 Welcome to the AP Physics 1 Team! AP Physics 1 is an introductory college level physics course. Concept development and problem solving are algebra and trigonometry
More information2014 Summer Review for Students Entering Algebra 2. TI-84 Plus Graphing Calculator is required for this course.
1. Solving Linear Equations 2. Solving Linear Systems of Equations 3. Multiplying Polynomials and Solving Quadratics 4. Writing the Equation of a Line 5. Laws of Exponents and Scientific Notation 6. Solving
More informationOld Math 120 Exams. David M. McClendon. Department of Mathematics Ferris State University
Old Math 10 Exams David M. McClendon Department of Mathematics Ferris State University 1 Contents Contents Contents 1 General comments on these exams 3 Exams from Fall 016 4.1 Fall 016 Exam 1...............................
More informationName Score Period Date. m = 2. Find the geometric mean of the two numbers. Copy and complete the statement.
Chapter 6 Review Geometry Name Score Period Date Solve the proportion. 3 5 1. = m 1 3m 4 m = 2. 12 n = n 3 n = Find the geometric mean of the two numbers. Copy and complete the statement. 7 x 7? 3. 12
More informationMath 141: Trigonometry Practice Final Exam: Fall 2012
Name: Math 141: Trigonometry Practice Final Eam: Fall 01 Instructions: Show all work. Answers without work will NOT receive full credit. Clearly indicate your final answers. The maimum possible score is
More informationTriangles and Vectors
Chapter 3 Triangles and Vectors As was stated at the start of Chapter 1, trigonometry had its origins in the study of triangles. In fact, the word trigonometry comes from the Greek words for triangle measurement.
More information