C345_2_22_MSA_Investigation4.notebook February 22, 2013
|
|
|
- Nathan Hill
- 5 years ago
- Views:
Transcription
1 Carpenters have developed the guidelines below to ensure that the stairs they build are relatively easy for a person to climb. Steps are MSA 4.1 measured in inches. The ratio of rise to run for each step should be between 0.45 and The rise plus the run for each step should be between 17 and inches. The steepness of stairs is determined by the ratio of the rise to the run for each step.the rise and run are labeled in the diagram at the right. A. 1. Determine the steepness of a set of stairs in your school or home. To calculate the steepness you will need to measure the rise and run of at least two steps in the set of stairs. make a sketch of the stairs, and label the sketch with the measurements you found. find the ratio of rise to run. 2. How do the stairs you measured compare to the carpenters guidelines above? B. A set of stairs is being built for the front of the new Arch Middle School.The ratio of rise to run is 3 to Is this ratio within the carpenters guidelines? y MSA Make a sketch of a set of stairs that meet this ratio. Label the lengths of the rise and run of a step. 3. Sketch the graph of a line that passes through the origin and whose y values change by 3 units for each 5 unit change in the x values. 4. Write an equation for the line in part (3). a. What is the coefficient of x in the equation? x b. How is the coefficient related to the steepness of the line represented by the equation? c. How is the coefficient related to the steepness of a set of stairs with this ratio?
2 Page 78, Problem 1 1. Plans for a set of stairs for the front of a new y The steepness of the line is the ratio of rise to run, or vertical change to horizontal change, for this step.we call this ratio the slope of the line. community center use the ratio of rise to run of 2 units to 5 units. a. Are these stairs within carpenters guidelines, which state that the ratio of rise to run should be between 0.45 and 0.60? Unlike the steepness of stairs, the slope of a line can be negative.to determine the slope of a line, you need to consider the direction, or sign, of the vertical and horizontal changes from one point to another. If vertical change is negative for positive horizontal change, the slope will be negative. Lines that slant upward from left to right have positive slope; lines that slant downward from left to right have negative slope. b. Sketch a set of stairs that meets the rise to run ratio of 2 units to 5 units. c. Sketch the graph of a line where the y values x Write this down. Memorize!! change by 2 units for each 5 unit change in the x values. d. Write an equation for your line in part (c).
3 B. The points (3, 5) and ( 2, 10) lie on a line. Find two more points that lie on this line. Explain your method. C. Compare your methods for finding the slope of a line from a graph, table, and equation.
4 A. Consider the two groups of lines shown below. B. Consider the three pairs of lines shown below. Group 1: y = 3x y= 5 + 3x y= x y= 5 + 3x Pair 1: y = 2x Pair 2: y = 4x Pair 3: y = 3x + 5 Group 2: y = 2x y= 4 2x y= 8 2x y= 4 2x For each group: 1. What features do the equations have in common? 2. Graph each equation on the same coordinate axes. What patterns do you observe in the graphs? 3. Describe another group of lines that have the same pattern. For each pair: 1. What features do the equations have in common? 2. Graph each equation on the same coordinate axes.what patterns do you observe in the graphs? C. Write equations for four lines that intersect to form the sides of a parallelogram. Explain what must be true about such lines. MSA 4.4 A. Anjelita s Birthday Today is Anjelita s birthday. Her grandfather gave Anjelita some money as a birthday gift. Anjelita plans to put her birthday money in a safe place and add part of her allowance to it each week. Her sister, Maria, wants to know how much their grandfather gave her and how much of her allowance she is planning to save each week. As usual, Anjelita does not answer her sister directly. Instead, she wants her to figure out the answer for herself. She gives her these clues: After five weeks, I will have saved a total of $175. D. Write equations for three lines that intersect to form a right triangle. Explain what must be true about such lines. E. Describe how you can decide if two lines are parallel or perpendicular from the equations of the lines. After eight weeks, I will have saved $ How much of her allowance is Anjelita planning to save each week? 2. How much birthday money did Anjelita s grandfather give her for her birthday? 3. Write an equation for the total amount of money A Anjelita will have saved after n weeks.what information do the y intercept and coefficient of n represent in this context?
5 B. Converting Temperatures Detroit, Michigan, is just across the Detroit River from the Canadian city of Windsor, Ontario. Because Canada uses the Celsius temperature scale, weather reports in Detroit often give temperatures in both degrees Fahrenheit and in degrees Celsius.The relationship between degrees Fahrenheit and degrees Celsius is linear. Two important reference points for temperature are: Water freezes at 00C, or 320F. Water boils at 1000C, or 2120F. 1. Use this information to write an equation for the relationship between degrees Fahrenheit and degrees Celsius. 2. How did you find the y intercept? What does the y intercept tell you about this situation? MSA 4.4
Unit 5: Moving Straight Ahead
Unit 5: Moving Straight Ahead Investigation 4 Exploring Slope: Connecting Rates and Ratios I can demonstrate understanding that linear relationships are relationships represented by the slope of the line
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.
y-intercept remains constant?
1. The graph of a line that contains the points ( 1, 5) and (4, 5) is shown below. Which best represents this line if the slope is doubled and the y-intercept remains constant? F) G) H) J) 2. The graph
Section 1.3. Slope formula: If the coordinates of two points on the line are known then we can use the slope formula to find the slope of the line.
MATH 11009: Linear Functions Section 1.3 Linear Function: A linear function is a function that can be written in the form f(x) = ax + b or y = ax + b where a and b are constants. The graph of a linear
The Picture Tells the Linear Story
The Picture Tells the Linear Story Students investigate the relationship between constants and coefficients in a linear equation and the resulting slopes and y-intercepts on the graphs. This activity also
Block: Date: Name: REVIEW Linear Equations. 7.What is the equation of the line that passes through the point (5, -3) and has a slope of -3?
Name: REVIEW Linear Equations 1. What is the slope of the line y = -2x + 3? 2. Write the equation in slope-intercept form. Block: Date: 7.What is the equation of the line that passes through the point
4.4 Slope and Graphs of Linear Equations. Copyright Cengage Learning. All rights reserved.
4.4 Slope and Graphs of Linear Equations Copyright Cengage Learning. All rights reserved. 1 What You Will Learn Determine the slope of a line through two points Write linear equations in slope-intercept
2.3 BUILDING THE PERFECT SQUARE
16 2.3 BUILDING THE PERFECT SQUARE A Develop Understanding Task Quadratic)Quilts Optimahasaquiltshopwhereshesellsmanycolorfulquiltblocksforpeoplewhowant tomaketheirownquilts.shehasquiltdesignsthataremadesothattheycanbesized
E. Slope-Intercept Form and Direct Variation (pp )
and Direct Variation (pp. 32 35) For any two points, there is one and only one line that contains both points. This fact can help you graph a linear equation. Many times, it will be convenient to use the
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.
Use smooth curves to complete the graph between and beyond the vertical asymptotes.
5.3 Graphs of Rational Functions Guidelines for Graphing Rational Functions 1. Find and plot the x-intercepts. (Set numerator = 0 and solve for x) 2. Find and plot the y-intercepts. (Let x = 0 and solve
Name: Date: Block: Mid-Unit 4 Test Review All work must be shown for full credit.
Name: Date: Block: Mid-Unit 4 Test Review All work must be shown for full credit. 1) How do you have to walk so the motion detector graphs a straight line? Explain as clearly as you can. 2) What determines
Find the equation of a line given its slope and y-intercept. (Problem Set exercises 1 6 are similar.)
Directions Each problem below is similar to the example with the same number in your textbook. After reading through an example in your textbook, or watching one of the videos of that example on MathTV,
Section 2.3 Task List
Summer 2017 Math 108 Section 2.3 67 Section 2.3 Task List Work through each of the following tasks, carefully filling in the following pages in your notebook. Section 2.3 Function Notation and Applications
Graphing Lines with a Table
Graphing Lines with a Table Select (or use pre-selected) values for x Substitute those x values in the equation and solve for y Graph the x and y values as ordered pairs Connect points with a line Graph
Chapter 9 Linear equations/graphing. 1) Be able to graph points on coordinate plane 2) Determine the quadrant for a point on coordinate plane
Chapter 9 Linear equations/graphing 1) Be able to graph points on coordinate plane 2) Determine the quadrant for a point on coordinate plane Rectangular Coordinate System Quadrant II (-,+) y-axis Quadrant
2. To receive credit on any problem, you must show work that explains how you obtained your answer or you must explain how you obtained your answer.
Math 50, Spring 2006 Test 2 PRINT your name on the back of the test. Circle your class: MW @ 11 TTh @ 2:30 Directions 1. Time limit: 50 minutes. 2. To receive credit on any problem, you must show work
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
Section 1.3. Slope of a Line
Slope of a Line Introduction Comparing the Steepness of Two Objects Two ladders leaning against a building. Which is steeper? We compare the vertical distance from the base of the building to the ladder
Review for Mastery. Identifying Linear Functions
Identifying Linear Functions You can determine if a function is linear by its graph, ordered pairs, or equation. Identify whether the graph represents a linear function. Step 1: Determine whether the graph
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
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
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
Section 3.5. Equations of Lines
Section 3.5 Equations of Lines Learning objectives Use slope-intercept form to write an equation of a line Use slope-intercept form to graph a linear equation Use the point-slope form to find an equation
Solving Equations and Graphing
Solving Equations and Graphing Question 1: How do you solve a linear equation? Answer 1: 1. Remove any parentheses or other grouping symbols (if necessary). 2. If the equation contains a fraction, multiply
CH 54 SPECIAL LINES. Ch 54 Special Lines. Introduction
479 CH 54 SPECIAL LINES Introduction Y ou may have noticed that all the lines we ve seen so far in this course have had slopes that were either positive or negative. You may also have observed that every
Sect Linear Equations in Two Variables
99 Concept # Sect. - Linear Equations in Two Variables Solutions to Linear Equations in Two Variables In this chapter, we will examine linear equations involving two variables. Such equations have an infinite
Graphs of linear equations will be perfectly straight lines. Why would we say that A and B are not both zero?
College algebra Linear Functions : Definition, Horizontal and Vertical Lines, Slope, Rate of Change, Slopeintercept Form, Point-slope Form, Parallel and Perpendicular Lines, Linear Regression (sections.3
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
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
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
Name: Date: Period: Activity 4.6.2: Point-Slope Form of an Equation. 0, 4 and moving to another point on the line using the slope.
Name: Date: Period: Activity.6.2: Point-Slope Form of an Equation 1.) Graph the equation y x = + starting at ( ) 0, and moving to another point on the line using the slope. 2.) Now, draw another graph
Chapter 4. Lesson Lesson The parabola should pass through the points (0, 0) and (2, 0) and have vertex (1, 1).
Chapter 4 Lesson 4.1.1 4-3. The parabola should pass through the points (0, 0) and (2, 0) and have vertex (1, 1). 4-4. She should have received two sports cars and ten pieces of furniture. 4-5. 1 3 ( 2x)=
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
Algebra & Trig. 1. , then the slope of the line is given by
Algebra & Trig. 1 1.4 and 1.5 Linear Functions and Slope Slope is a measure of the steepness of a line and is denoted by the letter m. If a nonvertical line passes through two distinct points x, y 1 1
10 GRAPHING LINEAR EQUATIONS
0 GRAPHING LINEAR EQUATIONS We now expand our discussion of the single-variable equation to the linear equation in two variables, x and y. Some examples of linear equations are x+ y = 0, y = 3 x, x= 4,
Math 152 Rodriguez Blitzer 2.5 The Point-Slope Form of the Equation of a Line
Math 152 Rodriguez Blitzer 2.5 The Point-Slope Form of the Equation of a Line I. Point-Slope Form A. Linear equations we have seen so far: 1. standard form: Ax +By=C A, B, and C real numbers 2. slope-intercept
Name Date. and y = 5.
Name Date Chapter Fair Game Review Evaluate the epression when = and =.... 0 +. 8( ) Evaluate the epression when a = 9 and b =.. ab. a ( b + ) 7. b b 7 8. 7b + ( ab ) 9. You go to the movies with five
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
Chapter 3 Parallel and Perpendicular Lines
Chapter 3 Parallel and Perpendicular Lines Parallel Lines Lines Parallel Symbol: Perpendicular Lines Lines that Perpendicular Symbol: Postulate 13: Parallel Postulate For any and a not on the line, there
Chapter 6: Linear Relations
Chapter 6: Linear Relations Section 6. Chapter 6: Linear Relations Section 6.: Slope of a Line Terminolog: Slope: The steepness of a line. Also known as the Rate of Change. Slope = Rise: The change in
Student Exploration: Standard Form of a Line
Name: Date: Student Exploration: Standard Form of a Line Vocabulary: slope, slope-intercept form, standard form, x-intercept, y-intercept Prior Knowledge Questions (Do these BEFORE using the Gizmo.) 1.
Determine the intercepts of the line and ellipse below: Definition: An intercept is a point of a graph on an axis. Line: x intercept(s)
Topic 1 1 Intercepts and Lines Definition: An intercept is a point of a graph on an axis. For an equation Involving ordered pairs (x, y): x intercepts (a, 0) y intercepts (0, b) where a and b are real
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.
(a) Find the equation of the line that is parallel to this line and passes through the point.
1. Consider the line. (a) Find the equation of the line that is parallel to this line and passes through the point. (b) Find the equation of the line that is perpendicular to this line and passes through
Ch. 6 Linear Functions Notes
First Name: Last Name: Block: Ch. 6 Linear Functions Notes 6.1 SLOPE OF A LINE Ch. 6.1 HW: p. 9 #4 1, 17,,, 8 6. SLOPES OF PARALLEL AND PERPENDICULAR LINES 6 Ch. 6. HW: p. 49 # 6 odd letters, 7 0 8 6.
Lesson 7 Slope-Intercept Formula
Lesson 7 Slope-Intercept Formula Terms Two new words that describe what we've been doing in graphing lines are slope and intercept. The slope is referred to as "m" (a mountain has slope and starts with
Outcome 9 Review Foundations and Pre-Calculus 10
Outcome 9 Review Foundations and Pre-Calculus 10 Level 2 Example: Writing an equation in slope intercept form Slope-Intercept Form: y = mx + b m = slope b = y-intercept Ex : Write the equation of a line
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
Algebra 1B. Chapter 6: Linear Equations & Their Graphs Sections 6-1 through 6-7 & 7-5. COLYER Fall Name: Period:
Chapter 6: Linear Equations & Their Graphs Sections 6-1 through 6-7 & 7-5 COLYER Fall 2016 Name: Period: What s the Big Idea? Analyzing Linear Equations & Inequalities What can I expect to understand when
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
Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form. y = 4x + 3
Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form. y = 4x + 3 Rewrite the equation in standard form. The equation is now in standard form
PROPORTIONAL VERSUS NONPROPORTIONAL RELATIONSHIPS NOTES
PROPORTIONAL VERSUS NONPROPORTIONAL RELATIONSHIPS NOTES Proportional means that if x is changed, then y is changed in the same proportion. This relationship can be expressed by a proportional/linear function
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
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
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.
Section 5.2 Graphs of the Sine and Cosine Functions
A Periodic Function and Its Period Section 5.2 Graphs of the Sine and Cosine Functions A nonconstant function f is said to be periodic if there is a number p > 0 such that f(x + p) = f(x) for all x in
Chapter 3 Graphing Linear Equations
Chapter 3 Graphing Linear Equations Rectangular Coordinate System Cartesian Coordinate System Origin Quadrants y-axis x-axis Scale Coordinates Ex: Plot each point: (0,0), (-1, 3), (1, 3), (1, -3), (-1,
6.1 Slope of a Line Name: Date: Goal: Determine the slope of a line segment and a line.
6.1 Slope of a Line Name: Date: Goal: Determine the slope of a line segment and a line. Toolkit: - Rate of change - Simplifying fractions Main Ideas: Definitions Rise: the vertical distance between two
Algebra 1 2 nd Six Weeks
Algebra 1 2 nd Six Weeks Second Six Weeks October 6 November 14, 2014 Monday Tuesday Wednesday Thursday Friday October 6 B Day 7 A Day 8 B Day 9 A Day 10 B Day Elaboration Day Test 1 - Cluster 2 Test Direct
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
2016 Geometry Honors Summer Packet
Name: 2016 Geometry Honors Summer Packet This packet is due the first day of school. It will be graded for completion and effort shown. There will be an assessment on these concepts the first week of school.
Math + 4 (Red) SEMESTER 1. { Pg. 1 } Unit 1: Whole Number Sense. Unit 2: Whole Number Operations. Unit 3: Applications of Operations
Math + 4 (Red) This research-based course focuses on computational fluency, conceptual understanding, and problem-solving. The engaging course features new graphics, learning tools, and games; adaptive
Cross Sections of Three-Dimensional Figures
Domain 4 Lesson 22 Cross Sections of Three-Dimensional Figures Common Core Standard: 7.G.3 Getting the Idea A three-dimensional figure (also called a solid figure) has length, width, and height. It is
Algebra 1 Online:
Dear Algebra 2 Students, Within this packet you will find mathematical concepts and skills learned in Algebra 1 that are the foundation from which Algebra 2 is built. These concepts need to be reviewed
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
Study Guide: Slope and Linear Equations
Rates and Unit Rates A rate is a proportional relationship between two quantities. Unit rate is a rate where the second quantity is 1. Example: Pauline can mow 35 square feet of lawn is 2.5 minutes. (this
Using Slopes and Intercepts
CODE Name Date Teacher Practice A Using Slopes and Intercepts 1. Name the ordered pair if the x-intercept is 2. 2. Name the ordered pair if the y-intercept is 8. 3. In the ordered pair (9, 0), what is
5.1 Graphing Sine and Cosine Functions.notebook. Chapter 5: Trigonometric Functions and Graphs
Chapter 5: Trigonometric Functions and Graphs 1 Chapter 5 5.1 Graphing Sine and Cosine Functions Pages 222 237 Complete the following table using your calculator. Round answers to the nearest tenth. 2
7.1 Solving Quadratic Equations by Graphing
Math 2201 Date: 7.1 Solving Quadratic Equations by Graphing In Mathematics 1201, students factored difference of squares, perfect square trinomials and polynomials of the form x 2 + bx + c and ax 2 + bx
Lesson 7A Slope-Intercept Formula
Lesson 7A Slope-Intercept Formula Terms Two new words that describe what we've been doing in graphing lines are slope and intercept. The slope is referred to as "m" (a mountain has slope and starts with
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
Homework 5 - Section 3.3 #5
Homework 5 - Section. #5 Intermediate Algebra / MAT 15 Fall 01 possible master (Prof. Fleischner) Student Name/ID: 1. Rewrite the equation in A + B = C form. Use integers for A, B, and C. + 5 = +. Rewrite
Pearson's Ramp-Up Mathematics
Introducing Slope L E S S O N CONCEPT BOOK See pages 7 8 in the Concept Book. PURPOSE To introduce slope as a graphical form of the constant of proportionality, k. The lesson identifies k as the ratio
Chapter 5 Mid-chapter Review. To use Slope-Intercept Form of a line, you must first solve the equation for y.
FM Algebra Chapter 5 Mid-chapter Review Name: Date: Pd: Section 5.1 Equations of Lines Using Slope-Intercept Form To use Slope-Intercept Form of a line, you must first solve the equation for y. y mx m
Review Journal 6 Assigned Work: Page 146, All questions
MFM2P Linear Relations Checklist 1 Goals for this unit: I can explain the properties of slope and calculate its value as a rate of change. I can determine y-intercepts and slopes of given relations. I
Lesson 15: The Slope of a Non Vertical Line
Classwork Opening Exercise Example Graph A Graph B a. Which graph is steeper? b. Write directions that explain how to move from one point on the graph to the other for each of Graph A and Graph B. c. Write
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
Chapter 2 Review WS Period: Date:
Geometry Name: Chapter 2 Review WS Period: Date:. A transversal intersects two parallel lines. The measures of a pair of alternate interior angles are 5v and 2w. The measures of a pair of same-side exterior
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
Lesson 1b Linear Equations
In the first lesson we looked at the concepts and rules of a Function. The first Function that we are going to investigate is the Linear Function. This is a good place to start because with Linear Functions,
Plotting Points in 2-dimensions. Graphing 2 variable equations. Stuff About Lines
Plotting Points in 2-dimensions Graphing 2 variable equations Stuff About Lines Plotting Points in 2-dimensions Plotting Points: 2-dimension Setup of the Cartesian Coordinate System: Draw 2 number lines:
Section 2-4: Writing Linear Equations, Including Concepts of Parallel & Perpendicular Lines + Graphing Practice
Section 2-4: Writing Linear Equations, Including Concepts of Parallel & Perpendicular Lines + Graphing Practice Name Date CP If an equation is linear, then there are three formats typically used to express
Unit 3 Algebra What is the y-intercept for the graph of the equation 3x 5y = 15?
Unit 3 lgebra 1 Name: ate: 1. The equation below is used to find (x, y) coordinates. y = 3x + 2 3. ennie is using this pattern to make stars for an laska state flag. Which coordinates could be found using
Unit 8: Coordinate Plane (including x/y tables), Proportional Reasoning, and Slope
Page 1 CCM6+7+ --Unit 9 Graphing and Slope Unit 8: Coordinate Plane (including x/y tables), Proportional Reasoning, and Slope 2015-16 Name Teacher Projected Test Date Main Topic(s) Page(s) Vocabulary 2-3
ACTIVITY: Finding the Slope of a Line
. Slope of a Line describe the line? How can ou use the slope of a line to Slope is the rate of change between an two points on a line. It is the measure of the steepness of the line. To find the slope
Math Labs. Activity 1: Rectangles and Rectangular Prisms Using Coordinates. Procedure
Math Labs Activity 1: Rectangles and Rectangular Prisms Using Coordinates Problem Statement Use the Cartesian coordinate system to draw rectangle ABCD. Use an x-y-z coordinate system to draw a rectangular
Creating a foldable for Equations of Lines
Creating a foldable for Equations of Lines Equations of Lines Slope Direct Variation Slope-Intercept Form Standard Form Point-Slope Form Equation w/ slope & 1 point Equation w/ 2 points Horizontal & Vertical
t s time we revisit our friend, the equation of a line: y = mx + b
CH PARALLEL AND PERPENDICULAR LINES INTRODUCTION I t s time we revisit our friend, the equation of a line: mx + b SLOPE -INTERCEPT To be precise, b is not the -intercept; b is the -coordinate of the -intercept.
Investigating the equation of a straight line
Task one What is the general form of a straight line equation? Open the Desmos app on your ipad If you do not have the app, then you can access Desmos by going to www.desmos.com and then click on the red
Math 10 Lesson 4-1 Slope of a Line
I. Lesson Objectives: Math 10 Lesson 4-1 Slope of a Line 1) Determine the slope of a line segment and a line. II. Rate of change slope In Lesson 3-6 we learned about the rate of change for a linear function.
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
Algebra. Teacher s Guide
Algebra Teacher s Guide WALCH PUBLISHING Table of Contents To the Teacher.......................................................... vi Classroom Management..................................................
Algebra I Notes Unit Seven: Writing Linear Equations
Sllabus Objective.6 The student will be able to write the equation of a linear function given two points, a point and the slope, table of values, or a graphical representation. Slope-Intercept Form of
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
Determine if the function is even, odd, or neither. 1) f(x) = 8x4 + 7x + 5 A) Even B) Odd C) Neither
Assignment 6 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine if the function is even, odd, or neither. 1) f(x) = 8x4 + 7x + 5 1) A)
Mathematics 205 HWK 19b Solutions Section 16.2 p750. (x 2 y) dy dx. 2x 2 3
Mathematics 5 HWK 9b Solutions Section 6. p75 Problem, 6., p75. Evaluate (x y) dy dx. Solution. (x y) dy dx x ( ) y dy dx [ x x dx ] [ ] y x dx Problem 9, 6., p75. For the region as shown, write f da as
Graphing - Slope-Intercept Form
2.3 Graphing - Slope-Intercept Form Objective: Give the equation of a line with a known slope and y-intercept. When graphing a line we found one method we could use is to make a table of values. However,
HPS Scope Sequence Last Revised June SUBJECT: Math GRADE: 7. Michigan Standard (GLCE) Code & Language. What this Standard means:
Number and Numeration MA.7.NS.1 (Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical
Math 154 :: Elementary Algebra
Math :: Elementary Algebra Section. Section. Section. Section. Section. Math :: Elementary Algebra Section. The Rectangular (Cartesian) Coordinate System. The variable x usually represents the independent