Slope of a Line. Find the slope of each line
|
|
|
- Myron Richard
- 5 years ago
- Views:
Transcription
1 Practice A Slope of a Line Find the slope of each line _ Find the slope of the line that passes through each pair of points. 3. (1, 0), (2, 4) 4. (6, 2), (2, 2) 5. ( 1, 1), (4, 4) 6. ( 7, 4), (2, 1) 7. (5, 3), ( 2, 3) 8. ( 3, 2), (2, 7) 9. The table shows how much money Rose made at her new job. Use the data to make a graph. Find the slope of the line and explain what it shows. Time (h) Money Earned
2 Practice B Slope of a Line Find the slope of each line _ Find the slope of the line that passes through each pair of points. 3. ( 2, 8), (1, 4) 4. ( 2, 0), (0, 4), 5. (0, 4), (4, 4) 6. (3, 6), (2, 4) 7. ( 3, 4), (3, 4) 8. (3, 0), (0, 6), 9. (3, 2), (3, 2) 10. ( 4, 4), (3, 1) 11. The table shows the distance Ms. Long had traveled as she went to the beach. Use the data to make a graph. Find the slope of the line and explain what it shows. Time (min) Distance (mi)
3 Practice C Slope of a Line For exercises 1 4, use the graph to find the slope of the line If a quadrilateral has vertices A( 2, 2), B(2, 3), C(3, 4), and D( 3, 2), find the slope of AB, BC, CD, and DA.
4 Review for Mastery Slope of a Line The slope of a line is a measure of its tilt, or slant. The slope of a straight line is a constant ratio, the rise over run, or the vertical change over the horizontal change. You can find the slope of a line by comparing any two of its points. The vertical change is the difference between the two y-values. And the horizontal change is the difference between the two x-values. slope = y 2 y 1 x 2 x 1 point A: (3, 2) point B: (4, 4) Make point A (x 1, y 1 ). Make point B (x 2, y 2 ). slope = = 2 1, or 2 So, the slope of the line is 2. You can make point A (x 2, y 2 ) and point B (x 1, y 1 ). slope = = 2 1, or 2 So, the slope remains 2. Find the slope of the line that passes through each pair of points. 1. (1, 5) and (2, 6) 2. (0, 3) and (2, 7) 3. (2, 5) and (3, 4) 4. (6, 9) and (2, 7) 5. (6, 5) and (8, 1) 6. (7, 4) and (4, 2)
5 Challenge Aligned? 1. Points A, B, and C are on the same line. Draw a conclusion about the slope between A and B and the slope between B and C. 2. Determine if the three points are collinear (lie on the same line). a. R(2, 5), S(6, 15), T(16, 18) b. J(0, 4), K(1, 2), L(3, 2) slope between R and S = slope between J and K = slope between S and T = slope between K and L = R, S, T collinear. J, K, L collinear. 3. Find the value of k so that U( 5, 1), V( 1, 5), and W(5, k) are collinear. a. Find the slope between U and V. b. Find the slope between V and W. c. Set the results of parts a and b equal to each other and solve for k. Justify your result. 4. The points P(2, 3), Q(2, 3) and R(k, 0) are collinear. Find k. Justify your result.
6 Problem Solving Slope of a Line Write the correct answer. 1. The state of Kansas has a fairly steady slope from the east to the west. At the eastern side, the elevation is 771 ft. At the western edge, 413 miles across the state, the elevation is 4039 ft. What is the approximate slope of Kansas? 2. The Feathered Serpent Pyramid in Teotihuacan, Mexico, has a square base. From the center of the base to the center of an edge of the pyramid is 32.5 m. The pyramid is 19.4 m high. What is the slope of each triangular face of the pyramid? 3. On a highway, a 6% grade means a slope of If a highway covers a horizontal distance of 0.5 miles and the elevation change is feet, what is the grade of the road? (Hint: 5280 feet = 1 mile.) Use the graph for Exercises Find the slope of the line between 1990 and A B C D Find the slope of the line between 1994 and F G H J Find the slope of the line between 1998 and A 1 B C D _ 4. The roof of a house rises vertically 3 feet for every 12 feet of horizontal distance. What is the slope, or pitch of the roof? _ 8. What does it mean when the slope is negative? F The number of earthquakes stayed the same. G The number of earthquakes increased. H The number of earthquakes decreased. J It means nothing.
7 Name Date Teacher CODE Reading Strategies Use a Graphic Organizer Definition Slope is a measure of the slant of a line. Lines with Nonzero Slope Positive slope: The line slants upward from left to right. Slope of a Line Slope is a ratio. (vertical change compared to vertical horizontal change; horizontal ) Horizontal and Vertical Lines Zero slope: Horizontal lines have a slope of 0. Negative slope: The line slants downward from left to right. Undefined slope: Vertical lines have an undefined slope. Use the graphic organizer to answer the following questions. 1. What do you call the slant of a line? 2. Write the ratio that is used to describe slope. 3. How can you tell if a line has positive slope? 4. How you can tell if a line has negative slope? 5. What kind of line has a slope of 0?
8 Puzzles, Twisters & Teasers A Slippery Slope! Determine which kind of slope each line has. Then use the letters of the correct answers to solve the riddle Positive B Negative O Positive R Negative C Positive T Negative N Zero D Undefined L Zero Q Undefined D Zero G Undefined N Positive A Negative T Positive P Negative U Positive J Negative W Zero H Undefined V Zero F Undefined Q Zero X Undefined Y What time do you go to the dentist?
9 ANSWER Practice A Practice C The slope is 8, which means Rose made $8 per hour. 5. slope AB ; 1 ; slope BC : 7; 4 slope CD ; 1 ; slope DA : 4 3 Review for Mastery Practice B undefined The slope is 3, which means that for 4 every 4 minutes Ms. Long drives, she travels 3 miles. She is driving 45 mph. Challenge 1. slope between A and B = slope between B and C 2. a = 10 4 = = 3 ; are not 10 2 ( 4) b. = = ( 2) 3 1 = = 4 = 2; are ( 1) 3. a. 1 ( 5) = = 4 4 = 1 b. k ( 5) 5 ( 1) = k = k c. 1 1 = k (k + 5)(1) = ( 1)(6) k + 5 = 6 k = 11 Check: When k = 11, the slope between V and W should equal 1. k = = 6 6 = 1
10 4.Since P and Q have the same x-values, PQR is a vertical line. So, k = 2. Problem Solving 1. about % C 6. F 7. A 8. H Reading Strategies 1. slope 2. vertical change horizontal change 3. The line slants upward from left to right. 4. The line slants downward from left to right. 5. a horizontal line Puzzles, Twisters & Teasers 1. Negative 2. Positive 3. Positive 4. Zero 5. Negative 6. Undefined TOOTH-HURTY
Graphing Linear Functions
Practice A Graphing Functions Complete the function tables. Then match the letter of each graph with the function table for its linear function. 1. y x 2 Graph: A x y x 2 y (x, y) 0 1 2 2. y x 2 Graph:
Name Date Class Practice A
Practice A Direct Variation Tell whether each equation represents a direct variation. If so, identify the constant of variation. 1. y 4x 2. y 2 x 3. y 6.3x 3 4. y 2x 2 5. y x 4 6. 3y 6x Tell whether each
Geometry R. Unit 12 Coordinate Geometry. Day Classwork Day Homework Wednesday 3/7 Thursday 3/8 Friday 3/9
Geometry R Unit 12 Coordinate Geometry Day Classwork Day Homework Wednesday 3/7 Thursday 3/8 Friday 3/9 Unit 11 Test Review Equations of Lines 1 HW 12.1 Perimeter and Area of Triangles in the Coordinate
Name Class Date. Using Graphs to Relate Two Quantities
4-1 Reteaching Using Graphs to Relate Two Quantities An important life skill is to be able to a read graph. When looking at a graph, you should check the title, the labels on the axes, and the general
CHAPTER. Graphs of Linear Equations. 3.1 Introduction to Graphing 3.2 Graphing Linear Equations 3.3 More with Graphing 3.4 Slope and Applications
Graphs of Linear Equations CHAPTER 3 3.1 Introduction to Graphing 3.2 Graphing Linear Equations 3.3 More with Graphing 3.4 Slope and Applications Slide 2 3.1 Introduction to Graphing OBJECTIVES a Plot
1201 Common Mathematics Assessment - June 2013 Answer Sheet. Name
1201 Common Mathematics Assessment - June 2013 Answer Sheet Name Mathematics Teacher: 1. A B C D 2. A B C D 3. A B C D 4. A B C D 5. A B C D 6. A B C D 7. A B C D 8. A B C D 9. A B C D 10. A B C D 11.
Writing and Graphing Linear Equations. Linear equations can be used to represent relationships.
Writing and Graphing Linear Equations Linear equations can be used to represent relationships. Linear equation An equation whose solutions form a straight line on a coordinate plane. Collinear Points that
GRAPHING WORKSHOP. A graph of an equation is an illustration of a set of points whose coordinates satisfy the equation.
GRAPHING WORKSHOP A graph of an equation is an illustration of a set of points whose coordinates satisfy the equation. The figure below shows a straight line drawn through the three points (2, 3), (-3,-2),
Section 3.1 Objective 1: Plot Points in the Rectangular Coordinate System Video Length 12:35
Section 3.1 Video Guide The Rectangular Coordinate System and Equations in Two Variables Objectives: 1. Plot Points in the Rectangular Coordinate System 2. Determine If an Ordered Pair Satisfies an Equation
Name: Unit 3 Beaumont Middle School 8th Grade, Introduction to Algebra
Unit 3 Beaumont Middle School 8th Grade, 2016-2017 Introduction to Algebra Name: I can identify a function, the domain and range. I can identify a linear relationship from a situation, table, graph and
Surface Area of Pyramids and Cones
Practice A Find the surface area of each pyramid. 1. 2. _ 3. 4. _ 5. 6. _ 7. 8. _ Find the surface area of each cone. Use 3.14 for. 9. 10. _ 11. 12. _ Practice B Find the surface area of each pyramid.
Polygons. Name each polygon Find the sum of the angle measures in each figure
Practice A Polygons Name each polygon. 1. 2. 3. Find the sum of the angle measures in each figure. 4. 5. 6. 7. 8. 9. Find the angle measures in each regular polygon. 10. 11. 12. 13. 14. 15. Give all the
Pre-Algebra Class 9 - Graphing
Pre-Algebra Class 9 - Graphing Contents In this lecture we are going to learn about the rectangular coordinate system and how to use graphs to pictorially represent equations and trends. 1 Rectangular
2.6 Distance and Midpoint Formulas
.6. Distance and Midpoint Formulas www.ck1.org.6 Distance and Midpoint Formulas Learning Objectives Find the distance between two points in the coordinate plane. Find the missing coordinate of a point
Section 3.1 Graphing Using the Rectangular Coordinate System
Objectives Section 3.1 Graphing Using the Rectangular Coordinate System n Construct a rectangular coordinate system n Plot ordered pairs and determine the coordinates of a point n Graph paired data n Read
Geometry. Practice End-of-Course Exam #3. Name Teacher. Per
Geometry Practice End-of-Course Exam #3 Name Teacher Per 1 Look at the pair of triangles. A B C D Which statement is true? Ο A. The triangles are congruent. Ο B. The triangles are similar but not congruent.
Unit 3, Activity 1, Vocabulary Self-Awareness Chart
Unit 3, Activity, Vocabulary Self-Awareness Chart Vocabulary Self-Awareness Chart Word + - Example Definition Relation Function Domain Range Graph Vertical line test F(x) input output independent dependent
Distance. Dollars. Reviewing gradient
Gradient The gradient of a line is its slope. It is a very important feature of a line because it tells you how fast things are changing. Look at the graphs below to find the meaning of gradient in two
BENCHMARK Name Points, Lines, Segments, and Rays. Name Date. A. Line Segments BENCHMARK 1
A. Line Segments (pp. 1 5) In geometry, the words point, line and plane are undefined terms. They do not have formal definitions but there is agreement about what they mean. Terms that can be described
Hey there, I m (name) and today I m gonna talk to you about rate of change and slope.
Rate and Change of Slope A1711 Activity Introduction Hey there, I m (name) and today I m gonna talk to you about rate of change and slope. Slope is the steepness of a line and is represented by the letter
Students interpret the meaning of the point of intersection of two graphs and use analytic tools to find its coordinates.
Student Outcomes Students interpret the meaning of the point of intersection of two graphs and use analytic tools to find its coordinates. Classwork Example 1 (7 minutes) Have students read the situation
Unit 1 Trigonometry. Topics and Assignments. General Outcome: Develop spatial sense and proportional reasoning. Specific Outcomes:
1 Unit 1 Trigonometry General Outcome: Develop spatial sense and proportional reasoning. Specific Outcomes: 1.1 Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems
UNIT 5: GEOMETRIC AND ALGEBRAIC CONNECTIONS. Apply Geometric Concepts in Modeling Situations
UNIT 5: GEOMETRIC AND ALGEBRAIC CONNECTIONS This unit investigates coordinate geometry. Students look at equations for circles and use given information to derive equations for representations of these
Name Date Class Practice A. 7. How many degrees do you have to rotate any figure to get it back to its original position?
Practice A Transformations Tell whether each is a translation, rotation, or reflection. 1. 2. _ 3. 4. Circle the correct answer 5. Which is the best description of the transformation shown below? _ 6.
(0, 4) Figure 12. x + 3. d = c. = b. Figure 13
80 CHAPTER EQUATIONS AND INEQUALITIES Plot both points, and draw a line passing through them as in Figure. Tr It # _, 0 Figure Find the intercepts of the equation and sketch the graph: = _ +. (0, (This
ame Date Class Practice A 11. What is another name for a regular quadrilateral with four right angles?
ame Date Class Practice A Polygons Name each polygon. 1. 2. 3. 4. 5. 6. Tell whether each polygon appears to be regular or not regular. 7. 8. 9. 10. What is another name for a regular triangle? 11. What
Geometry Unit 5 Geometric and Algebraic Connections. Table of Contents
Geometry Unit 5 Geometric and Algebraic Connections Table of Contents Lesson 5 1 Lesson 5 2 Distance.p. 2-3 Midpoint p. 3-4 Partitioning a Directed Line. p. 5-6 Slope. p.7-8 Lesson 5 3 Revisit: Graphing
Algebra I Notes Slope Unit 04a
OBJECTIVE: F.IF.B.6 Interpret functions that arise in applications in terms of the context. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over
A C E. Applications. Applications Connections Extensions
A C E Applications Connections Extensions Applications 1. At an evergreen farm, the taller trees are braced by wires. A wire extends from 2 feet below the top of a tree to a stake in the ground. What is
CTB/McGraw-Hill. Moore 5th Grade Geometry Test ID:
Page 1 of 25 Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703. All rights reserved. Only authorized customers
Area of Triangles and Trapezoids
Practice A Complete. Write triangle or trapezoid. 1. The area of a is half the product of its base and its height. 2. The area of a is the product of half its height and the sum of its bases. _ Find the
2-5 Postulates and Paragraph Proofs
Explain how the figure illustrates that each statement is true. Then state the postulate that can be used to show each statement is true. 6. Line r is the only line through points A and D. Line r contains
( ) ( ) = π r Circumference: 2. Honors Geometry B Exam Review. Areas of Polygons. 1 A = bh Rectangle: A bh 2. Triangle: = Trapezoid: = ( + )
reas of Polygons Triangle: 1 = bh Rectangle: bh 1 b1 b h = Trapezoid: = ( + ) Parallelogram: = bh Regular Polygon: 1 1 = ap = apothem perimeter Coordinate Geometry y y1 Slope: Circles 1 1 1 Midpoint: +,
8.4 Special Right Triangles
8.4. Special Right Triangles www.ck1.org 8.4 Special Right Triangles Learning Objectives Identify and use the ratios involved with isosceles right triangles. Identify and use the ratios involved with 30-60-90
DLA Review Printable Version
1. In the equation y = 7x + 3, as the value of x decreases by 1, what happens to the value of y?. A cell phone company charges $.00 a month plus an additional $0.10 per call. A competitor charges $10.00
GEOMETRY SEMESTER 2 REVIEW PACKET 2016
GEOMETRY SEMESTER 2 REVIEW PACKET 2016 Your Geometry Final Exam will take place on Friday, May 27 th, 2016. Below is the list of review problems that will be due in order to prepare you: Assignment # Due
9-1: Slope NAME: 1. What do you think is meant by the terms rise and run?
9-1: Slope NAME: CUES: PER: DATE: 1. What do you think is meant by the terms rise and run? 2. What is the vertical change between: a. points A and B? b. points A and C? c. points C and D? 3. What is the
Classifying Quadrilaterals
Practice A 1. List the six major special quadrilaterals. Give all of the names that apply to each quadrilateral. 2. 3. 4. Give the name that best describes each quadrilateral. 5. 6. 7. Draw each figure.
Unit 6: Connecting Algebra and Geometry Through Coordinates
Unit 6: Connecting Algebra and Geometry Through Coordinates The focus of this unit is to have students analyze and prove geometric properties by applying algebraic concepts and skills on a coordinate plane.
Similar Figures and Proportions
Practice A Similar Figures and Proportions Identify the corresponding sides. 1. AB corresponds to. 2. BC corresponds to. 3. AC corresponds to. Identify the corresponding sides. Then use ratios to determine
Practice. Area of Irregular Figures. Estimate the area of each figure. Each square represents 1 square foot. Choose the letter for the best answer. 1.
Name Date Class Practice Estimate the area of each figure. Each square represents 1 square foot. Choose the letter for the best answer. 1. 2. A 11 ft 2 C 15 ft 2 B 14 ft 2 A 24 ft 2 C 32 ft 2 B 26 ft 2
Practice 7-1. Graphing on a Coordinate Plane. Give the coordinates AND quadrant of each point. 1. F 2. X 3. T 4. B 5. D 6. R 7. H 8.
Chapter 7 Practice 7-1 Graphing on a Coordinate Plane Give the coordinates AND quadrant of each point. 1. F 2. X 3. T 4. B 5. D 6. R 7. H 8. Y Graph and label each point on the coordinate plane. 9. A(2
Linear Equations in Two Variables
Section. Linear Equations in Two Variables Section. Linear Equations in Two Variables You should know the following important facts about lines. The graph of b is a straight line. It is called a linear
Name Date Class Practice A LESSON Surface Area. Find the surface area S of each net Find the surface area S of each prism
Practice A Find the surface area S of each net. 1. 2. 3. 4. Find the surface area S of each prism. 5. 6. _ Practice B Find the surface area S of each prism. 1. 2. _ Find the surface area S of each pyramid.
Math 2 Coordinate Geometry Part 1 Slope & Transformations
Math 2 Coordinate Geometry Part 1 Slope & Transformations 1 MATH 1 REVIEW: THE NUMBER LINE A number line is a visual representation of all real numbers. Each of the images below are examples of number
= = The number system. Module. Glossary Math Tools... 33
- > + > < - %. < + a = - = = b in. F - - Module The number sstem Lesson Rational and Irrational Numbers........ 8.NS. Lesson ompare and Order Numbers......... 8 8.NS., 8.NS. Lesson Estimate the Value of
58th ANNUAL HIGH SCHOOL HONORS MATHEMATICS CONTEST
58th ANNUAL HIGH SCHOOL HONORS MATHEMATICS CONTEST April 18, 015 on the campus of the University of California, San Diego PART I ANSWER KEY 1. (D) 14. (B). (A) 15. (A) 3. (E) 16. (C) 4. (B) 17. (A) 5.
Activity The Coordinate System and Descriptive Geometry
Activity 1.5.1 The Coordinate System and Descriptive Geometry Introduction North, east, south, and west. Go down the street about six blocks, take a left, and then go north for about 2 miles; you will
Building Concepts: Moving from Proportional Relationships to Linear Equations
Lesson Overview In this TI-Nspire lesson, students use previous experience with proportional relationships of the form y = kx to consider relationships of the form y = mx and eventually y = mx + b. Proportional
Geometry Unit 3 Equations of Lines/Parallel & Perpendicular Lines
Geometry Unit 3 Equations of Lines/Parallel & Perpendicular Lines Lesson Parallel Lines & Transversals Angles & Parallel Lines Slopes of Lines Assignment 174(14, 15, 20-37, 44) 181(11-19, 25, 27) *TYPO
Math 3 Coordinate Geometry part 1 Unit November 3, 2016
Reviewing the basics The number line A number line is a visual representation of all real numbers. Each of the images below are examples of number lines. The top left one includes only positive whole numbers,
Year 10 Term 2 Homework
Yimin Math Centre Year 10 Term 2 Homework Student Name: Grade: Date: Score: Table of contents 9 Year 10 Term 2 Week 9 Homework 1 9.1 Trigonometry with right Triangles........................... 1 9.1.1
Week 8 Problems. #2 Points possible: 1. Total attempts: 2 Enter your answer rounded to two decimal places.
Week 8 Problems Name: Neal Nelson Show Scored View # Points possible:. Total attempts: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,.6 mi apart, to
Name Date Teacher Practice A. Determine whether each ordered pair is a solution of y = x (3, 8) 2. (5, 11) 3. (13, 7) 4.
8 Practice A Ordered Pairs Determine whether each ordered pair is a solution of y = x + 6.. (, 8). (5, ). (, 7). (9, 5) Determine whether each ordered pair is a solution of y = x +. 5. (, ) 6. (, 6) 7.
4. Describe the correlation shown by the scatter plot. 8. Find the distance between the lines with the equations and.
Integrated Math III Summer Review Packet DUE THE FIRST DAY OF SCHOOL The problems in this packet are designed to help you review topics from previous mathematics courses that are essential to your success
Section 1-1 Points, Lines, and Planes
Section 1-1 Points, Lines, and Planes I CAN. Identify and model points, lines, and planes. Identify collinear and coplanar points and intersecting lines and planes in space. Undefined Term- Words, usually
Math 0200 Final Exam Review Questions
1. Simplify: 4 8 3 8 ( 7). Simplify: 11 ( 9) 6(10 4) 34 3. Simplify ( 5 7) 3( ) 8 6 4. Simplify: (4 ) 3 9 5. Simplify: 4 7 3 6. Evaluate 3 y y y 4 5 when and 3 Write each of the values below in decimal
Geometry Second Semester Final Exam Review
Name: Class: Date: ID: A Geometry Second Semester Final Exam Review 1. Find the length of the leg of this right triangle. Give an approximation to 3 decimal places. 2. Find the length of the leg of this
Mathematics Stage 5 PAS5.2.3 Coordinate geometry. Midpoint, distance and gradient
Mathematics Stage 5 PAS5..3 Coordinate geometry Part 1 Midpoint, distance and gradient Number: 43658 Title: PAS5..3 Coordinate Geometry This publication is copyright New South Wales Department of Education
Components of Alignment. Horizontal Alignment. Vertical Alignment. Highway Design Project. Vertical Alignment. Vertical Alignment.
1/35 Components of Alignment Highway Design Project Horizontal Alignment Vertical Alignment Vertical Alignment Amir Samimi Civil Engineering Department Sharif University of Technology Cross-section /35
mm. What is the length of the radius to
Math 1201 Review For Final Unit One: 1. Convert 99 inches to feet and inches. 2. What is the height of this right circular cone if the diameter is 24 cm? 13 3. Solve for x: 8 x 13 4. My drivers license
6.G.1. SELECTED RESPONSE Select the correct answer. CONSTRUCTED RESPONSE. 3. What is the area of this shape?
6.G.1 SELECTED RESPONSE Select the correct answer. 3. What is the area of this shape? 1. What is the area of the triangle below? 5.65 cm 10.9375 cm 11.5 cm 1.875 cm 48 in 144 in 96 in 88 in 4. What is
Inclination of a Line
0_00.qd 78 /8/05 Chapter 0 8:5 AM Page 78 Topics in Analtic Geometr 0. Lines What ou should learn Find the inclination of a line. Find the angle between two lines. Find the distance between a point and
Distance in mm from nearest latitude line to location x 150 = seconds of latitude Distance in mm between latitude 2.5 tick marks (along the sides)
LATITUDE FORMULA FOR 1:24000 SCALE WITH 2.5 TICK MARKS Distance in mm from nearest latitude line to location x 150 = seconds of latitude Distance in mm between latitude 2.5 tick marks (along the sides)
Solving Right Triangles. SECURITY A security light is being
5-5 OJECTIVES Evaluate inverse trigonometric functions. Find missing angle measurements. Solve right triangles. Solving Right Triangles SECURITY A security light is being installed outside a loading dock.
Properties of Quadrilaterals
MIAP Chapter 6: Linear functions Master 6.1a Activate Prior Learning: Properties of Quadrilaterals A quadrilateral is a polgon with 4 sides. A trapezoid is a quadrilateral that has eactl one pair of parallel
Name Date Period. Unit 9: The Coordinate Plane Test Review
Name Date Period Unit 9: The Coordinate Plane Test Review Complete this review to help you prepare for the upcoming test. The more effort you put in, the more you will get out of it. This is due the day
Semester Exam Review. Honors Geometry A
Honors Geometry 2015-2016 The following formulas will be provided in the student examination booklet. Pythagorean Theorem In right triangle with right angle at point : 2 2 2 a b c b c a Trigonometry In
Name Modeling with Geometry 3.1H
Name Modeling with Geometry 3.1H Ready, Set, Go! Ready Topic: Finding the trigonometric ratios in a triangle Use the given measures on the triangles to write the indicated trigonometry value. Leave answers
Distance in mm from nearest latitude line to location x 150 = seconds of latitude Distance in mm between latitude 2.5 tick marks (along the sides)
LATITUDE FORMULA FOR 1:24000 SCALE WITH 2.5 TICK MARKS Distance in mm from nearest latitude line to location x 150 = seconds of latitude Distance in mm between latitude 2.5 tick marks (along the sides)
Geometry PreAP Spring Final Exam Review 2017
Name Period Date Geometry PreAP Spring Final Exam Review 2017 Topic 1: Similar Figures 1) What does it mean for two polygons to be similar? 2) Use the definition from #1 to determine whether or not the
Chapter 23. Linear Motion Motion of a Bug
Chapter 23 Linear Motion The simplest example of a parametrized curve arises when studying the motion of an object along a straight line in the plane We will start by studying this kind of motion when
1-1. Variables and Expressions
exploration Catherine s dance team is planning a spring trip to the coast. Catherine is saving money in a bank account to pay for the trip. Her parents started her account with $100. She sells Christmas
Classifying Triangles
Name Date Class Practice A Classifying Triangles Classify each triangle according to its sides and angles. Choose the terms needed from the box. 1. 2. 3. 4. 5. 6. 7. 8. 9. Describe the different kinds
Algebra 1B Assignments Chapter 6: Linear Equations (All graphs must be drawn on GRAPH PAPER!)
Name Score Algebra 1B Assignments Chapter 6: Linear Equations (All graphs must be drawn on GRAPH PAPER!) Review Review Worksheet: Rational Numbers and Distributive Propert Worksheet: Solving Equations
Classwork Problems and Homework Packet - Unit 1
Multi-Step Equations DIRECTIONS: Solve each equation. Name NOTE: All answers hav been provided. You are responsible for showing all the work to arrive at the correct answer listed. Date Period 1) 20 =
5B.4 ~ Calculating Sine, Cosine, Tangent, Cosecant, Secant and Cotangent WB: Pgs :1-10 Pgs : 1-7
SECONDARY 2 HONORS ~ UNIT 5B (Similarity, Right Triangle Trigonometry, and Proof) Assignments from your Student Workbook are labeled WB Those from your hardbound Student Resource Book are labeled RB. Do
d = (x 2 - x 1 ) 2 + (y 2 - y 1 ) 2 Student Name: Date: Teacher Name: Sunil Dudeja Score:
Geometry EOC (GSE) Quiz Answer Key Equations and Measurement - (MGSE9 12.G.GPE.4) Use Coordinates For Theorems, (MGSE9 12.G.GPE.5 ) Prove Slope Criteria, (MGSE9 12.G.GPE.6) Find The Point, (MGSE9 12.G.GPE.7
The cosine ratio is a ratio involving the hypotenuse and one leg (adjacent to angle) of the right triangle Find the cosine ratio for. below.
The Cosine Ratio The cosine ratio is a ratio involving the hypotenuse and one leg (adjacent to angle) of the right triangle. From the diagram to the right we see that cos C = This means the ratio of the
G r a d e 1 0 I n t r o d u c t i o n t o A p p l i e d a n d P r e - C a l c u l u s M a t h e m a t i c s ( 2 0 S )
G r a d e 0 I n t r o d u c t i o n t o A p p l i e d a n d P r e - C a l c u l u s M a t h e m a t i c s ( 0 S ) Midterm Practice Exam Answer Key G r a d e 0 I n t r o d u c t i o n t o A p p l i e d
Lesson 1.1 Exercises, pages 8 12
Lesson 11 Exercises, pages 8 12 A 4 Circle each sequence that could be arithmetic Determine its common difference, d a) 6,10,14,18, b) 9,7,5,, d is: 10 6 4 d is: 7 9 2 c) -11, -4,,10, d) 2, -4, 8, -16,
Final Exam Review. Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the length of.
Final Exam Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the length of. 9 8 7 6 5 4 3 2 1 0 1 a. = 7 c. = 7 b. = 9 d. = 8 2. Find the best
Lines and Their Slopes
8.2 Lines and Their Slopes Linear Equations in Two Variables In the previous chapter we studied linear equations in a single variable. The solution of such an equation is a real number. A linear equation
Montana Comprehensive Assessment System (MontCAS, Phase 2 CRT)
Montana Comprehensive Assessment System (MontCAS, Phase CRT) Grade 7 Common Released Items Spring 008 Student Name: School Name: Teacher/Class: OFFICE OF PUBLIC INSTRUCTION SECURE MATERIALS. MAY NOT BE
Practice A. Solving Right Triangles. sin. cos A 5. tan 2
Name Date Class Solving Right Triangles In Exercises 1 3, fill in the blanks to complete the description of the inverse trigonometric ratios. 1. If sin A = x, then sin 1 x =. 2. If cos A =, then cos 1
The Rectangular Coordinate Systems and Graphs
OpenStax-CNX module: m51252 1 The Rectangular Coordinate Systems and Graphs OpenStax College This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License 4.0 In this
SECTION 7.4 THE LAW OF SINES 483. Triangles AjfijC, and A2B2C2 are shown in Figure 9. b = a = EXAMPLE 5 SSA, the No-Solution Case
SECTION 7.4 THE LAW OF SINES 483 the foothills of the Himalayas. A later expedition, using triangulation, calculated the height of the highest peak of the Himalayas to be 29,002 ft. The peak was named
Complete Assignment #1 listed below on WK #1 in packet. Textbook required!!!
400Algebra 2H ASSIGNMENT SHEETrev14 CHAPTER 3: Linear Functions with Review of Chapter 1 and 2 (3-1 to 3-4 Highlights on reverse side) Directions: 1. Review classwork and read each section in textbook
Warm-Up Activity. Knowing that "H" is equal to 10, and T is half of M, how could MATH be 42, TEAM be 40, and MEET be 37?
Warm-Up Activity Felipe's school is hosting a math competition against other schools in the same district. Each school can only allow 10 students to compete. Felipe and his classmates are taking tests
c. Suppose you continue adding triangles to the wheel. Which triangle will have a hypotenuse of length 5 units? 4 ft 10 in.
Applications 1. The hypotenuse of a right triangle is 15 centimeters long. One leg is centimeters long. How long is the other leg? 2. The Wheel of Theodorus in Problem 4.1 includes only the first 11 triangles
Section 2.2 Graphs of Linear Functions
Section. Graphs of Linear Functions Section. Graphs of Linear Functions When we are working with a new function, it is useful to know as much as we can about the function: its graph, where the function
Analytic Geometry. Pick up the weekly agenda sheet and the packet for the week. Find your vocabulary match. This is your new team member.
Happy New Year! Analytic Geometry Pick up the weekly agenda sheet and the packet for the week. Find your vocabulary match. This is your new team member. Unit 1: Similarity, Congruence & Proofs Vocabulary
Glossary Flash Cards. acute angle. absolute value. Additive Inverse Property. Big Ideas Math Red
Glossary Flash Cards absolute value acute angle Addition Property of Equality additive inverse Additive Inverse Property angle Copyright Big Ideas Learning, LLC Big Ideas Math Red 1 An angle whose measure
Kansas City Area Teachers of Mathematics 2013 KCATM Math Competition
Kansas City Area Teachers of Mathematics 2013 KCATM Math Competition GEOMETRY AND MEASUREMENT TEST GRADE 6 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes You may
Right Triangles CHAPTER. 3.3 Drafting Equipment Properties of 45º 45º 90º Triangles p. 189
CHAPTER Right Triangles Hiking is the most popular outdoor activity in the United States, with almost 40% of Americans hiking every year. Hikers should track their location and movements on a map so they
Page 1 of 32. Website: Mobile:
Exercise 7.1 Question 1: Find the distance between the following pairs of points: (i) (2, 3), (4, 1) (ii) ( 5, 7), ( 1, 3) (iii) (a, b), ( a, b) (i) Distance between the two points is given by (ii) Distance
The Real Number System and Pythagorean Theorem Unit 9 Part C
The Real Number System and Pythagorean Theorem Unit 9 Part C Standards: 8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion;
QUADRATICS Graphing Quadratic Functions Common Core Standard
H Quadratics, Lesson 6, Graphing Quadratic Functions (r. 2018) QUADRATICS Graphing Quadratic Functions Common Core Standard Next Generation Standard F-IF.B.4 For a function that models a relationship between
Chapter 6. Graphical Analysis. 6.1 Visual Analysis of a Graph Visualizing the domain and range
Chapter 6 Graphical Analysis We ended the previous section with an in-depth look at a Profit Analysis Problem. In that discussion, we looked at the graphs of the relevant functions and used these as visual
32 ft. 48 ft. 15 cups 36, 60, 84
2012 2013 Geometry / Geometry Honors Second Semester Study Guide 1. Matthew is 4 feet tall. t 5 o clock in the afternoon, Matthew casts a shadow 20 feet long. He is standing net to a telephone pole that