Coordinate Graphing Quadrants and Reading Ordered Pairs. TeacherTwins 2015
|
|
|
- Doris Preston
- 5 years ago
- Views:
Transcription
1 Coordinate Graphing Quadrants and Reading Ordered Pairs TeacherTwins 2015
2 Warm Up Graph the integers on a number line , - 2, 5, 2 0, -3, 7, -2-4, 1, -6, 8-1, 4, -7, 0 6, -8, 5, -4
3 Warm Up Graph the integers on a number line
4 Coordinate Graphing Quadrants and Reading Ordered Pairs
5 The coordinate plane is formed by the intersection of two number lines.
6 Origin, the point where the two number lines intersect y-axis, it is the vertical number line x x-axis, it is the horizontal number line
7 You can graph points on the coordinate plane. A point has two coordinates which form an ordered pair. The x coordinate tells how far to move left or right along the x- axis. (3, -4) The y coordinate tells how far to move up or down along the y-axis.
8 Example 1 What are the coordinates of point A? The coordinates for point A are (2, 4). A Move up from the x axis. The y coordinate is 4. Start at the origin. Move 2 units to the right. The x coordinate is 2.
9 Example 2 What are the coordinates of point B? Move 5 units left from the origin. The x coordinate is -5. The coordinates for point B are (-5, -2). B Move down from the x axis to point B. The y coordinate is -2.
10 Practice Write the ordered pair for each point. A (-7, 4) B (3, -3) C (3, 0) D (7, 1) E (0, -7) F (-6, -4) A D C B F E
11 The coordinate plane is divided into four quadrants. Quadrant II Quadrant I Quadrant III Quadrant IV
12 Example 3 In which quadrant is point C located? Quadrant III C
13 Example 4 In which quadrant is point D located? Quadrant IV D
14 Identify the quadrant in which each point lies. A B C D E II I III I IV A D B C E
15 Where is ordered pair F located? (-7, 0) on x axis Where is ordered pair G located? (0, 4) on y axis
16 Closure What are the signs for all of the x-coordinates and all of the y-coordinates of the ordered pairs in the second quadrant? x negatives, y positives
17 Coordinate Plane Plotting Points TeacherTwins 2015
18 Warm Up Write the ordered pair and quadrant for each point. A B C D E F G H
19 Warm Up Answers A (-6,-3) Q III B (3, -5) Q IV C (6, -3) Q IV D (5, 1) Q I E (7, 5) Q I F (2, 4 ) Q I G (-5, 1) Q II H (-8, 5) Q II
20 Coordinate Plane Plotting Points
21 Remember You can graph points on the coordinate plane. A point has two coordinates which form an ordered pair. The x coordinate tells how far to move left or right along the x- axis. (-2, 6) The y coordinate tells how far to move up or down along the y-axis.
22 The x axis is the horizontal number line. It is formed by a negative number line (left of the origin) and a positive number line (right of the origin). x
23 The y axis is the vertical number line. It is formed by a negative number line (below the origin) and a positive number line (above the origin). x
24 Example 1 Plot (-3, 4) on a coordinate plane. To plot (-3, 4), start at the origin (0, 0). The x coordinate is -3 so move 3 units left on the x axis. x
25 Example 1 The y coordinate is positive 4 so move 4 units up from the x coordinate (-3). Plot the point. Plot (-3, 4) on a coordinate plane. x
26 Example 2 Plot (5, -6) on the coordinate plane. Start at the origin. Go over 5 places right. Go down 6 places. Plot the point. x
27 Plot the point (-6, 0) on the coordinate plane. Start at the origin. Move 6 spaces left and then go up 0 spaces. x Example 3 Plot the point.
28 Example 4 x
29 Practice Plot the points on the coordinate plane.
30 B A E C D F x
31 Closure Explain to a student who was absent how to graph the ordered pair (-1, 6).
32 Finding the Distance Between Two Points TeacherTwins 2015
33 Warm Up Graph the ordered pairs on the coordinate plane.
34 F A E B C D
35 Finding the Distance Between Two Points
36 Example 1 3 units What is the distance between (-5, 6) and (-2, 6)? 3 units
37 Example 2 What is the distance between (7, 1) and (7, 6)? 5 units 5 units
38 Example 3 What is the distance between (-2, 1) and (-2, -6)? 7 units 7 units
39 You can use absolute value to help you find the distance between two points.
40 Find the distance between (-2, 1), (-2, -6) You can find the distance of both points from the y-axis and add them. 1 is 1 unit above the y-axis is 6 units below the y-axis = = 7
41 Practice Find the distance between each pair of points (-5, 8), (-5, 2) (0, 4), (5, 4) (6, 7), (6, -4) (-5, 5), (7, 5) 6 units 5 units 11 units 12 units
42 Closure Explain how to find the distance between points (3, -9) and (3, 6) using absolute value = 15
43 Finding Distances on the Coordinate Plane TeacherTwins 2015
44 Warm Up Graph triangle ABC. A (-2, 4), B (0, 6), C (3, -3) Reflect triangle ABC across the x axis. Write the ordered pairs. Reflect triangle ABC across the y axis. Write the ordered pairs.
45 Warm Up Answers Original Black Reflection across the x-axis- blue A (-2, -4), B (0, -6), C (3, 3) Reflection across the y-axis - red A(2, 4), B(0, 6), C (-3, 3)
46 Finding Distances on the Coordinate Plane
47 On a coordinate plane map, the gym is located at (-2, 5). The middle school is located at (7, 5). If each unit represents one block, how far will Jim have to walk from the school to the gym? = = 9 units
48 On a coordinate plane map, the park is located at (-1, 3). Joshua s house is located at (-1, -8). If each unit represents one block, how far will Joshua have to walk to go to the park? = = 11
49 On a coordinate plane map, Kim s house is located at (-6, 5). Karen s house is located at (-6, -4). The shopping mall is located at (7, -4). How far will Kim travel if she leaves her house, picks up Karen and then goes to the mall? = = = = = 22
50 Closure On a coordinate plane Lily s house is located at (-3, 5). John s house is located at (3, 5). Lily and John are going to Caleb s house which is located at (3, -2). How far will Lily walk if she goes by to get John on the way to Caleb s house? 13
51 Reflections on the Coordinate Plane TeacherTwins 2015
52 Warm Up Graph the ordered pairs on the coordinate plane.
53 Warm Up Answers A E B F D C
54 Reflections on the Coordinate Plane
55 Graph triangle ABC on the coordinate plane. A (3, 7), B (3, 2), C (7, 2) Graph triangle HIJ on the same coordinate plane. H (-3, 7), I (-3, 2), J (-7, 2) H J I A B C
56 What is the relationship between triangle ABC and triangle HIJ?
57 You should have noticed that all points on triangle ABC and triangle HIJ are equal units away from the y axis.
58 Graph triangle XYZ on the same coordinate plane. X (3, -7), Y (3, -2), Z (7, -2) Y X Z
59 What is the relationship between triangle ABC and triangle XYZ?
60 You should have noticed that all points on triangle ABC and triangle XYZ are equal units away from the x axis.
61 A reflection is a figure flipped across a line. The new figure that is created is a mirror image of the original figure. The line that the figure is flipped across is called the line of reflection.
62 Across which line do you reflect triangle ABC to get triangle HIJ? y axis
63 Across which line do you reflect triangle ABC to get triangle XYZ? x axis
64 Example 1 What is the reflection of (-3, 6) across the y axis? (3, 6)
65 Example 2 What is the reflection of (-3, 6) across the x axis? (-3, -6)
66 Practice You are given the points (3, 8), (0, 7), (-4, 2) and (-5, -1). What is the reflection of each point across the x-axis? Across the y-axis? (3, -8), (0,-7), (-4, -2), (-5, 1) (-3, 8), (0, 7), (4,2), (5, -1)
67 Closure John draws a reflection of the point (-3, 5). He gets the point (-3, -5). Which axis did he reflect the point across? Explain how you know. x axis- y value became opposite.
Rational Numbers on the Coordinate Plane. 6.NS.C.6c
Rational Numbers on the Coordinate Plane 6.NS.C.6c Copy all slides into your composition notebook. Lesson 14 Ordered Pairs Objective: I can use ordered pairs to locate points on the coordinate plane. Guiding
Integers and the Coordinate Plane
Name Date Class 9A Dear Family, A Family Letter: Understanding Integers The student will begin the study of an important set of numbers called integers. Integers are the set of numbers that include all
UNIT 6. Coordinate Plane CCM6+ Name: Math Teacher:
UNIT 6 2017 2018 Coordinate Plane CCM6+ Name: Math Teacher: Main Concept 1 P a g e Page(s) Descartes and the Fly / Unit 6 Vocabulary 2 Daily Warm-Ups 3 5 Graphing on the Coordinate Plane 6 11 Reflections
Reflections (Flips) Geometry. Objective. Common Core State Standards Talk About It. Solve It. More Ideas. Formative Assessment
2 Reflections (Flips) Objective Students can expand their understanding of congruence by studying flips (reflections), turns (rotations), and slides (translations). A reflection flips a figure over a line
Unit 14: Transformations (Geometry) Date Topic Page
Unit 14: Transformations (Geometry) Date Topic Page image pre-image transformation translation image pre-image reflection clockwise counterclockwise origin rotate 180 degrees rotate 270 degrees rotate
Page 1 CCM6 Unit 10 Graphing UNIT 10 COORDINATE PLANE. CCM Name: Math Teacher: Projected Test Date:
Page 1 CCM6 Unit 10 Graphing UNIT 10 COORDINATE PLANE CCM6 2016-17 Name: Math Teacher: Projected Test Date: Main Concept Page(s) Vocabulary 2 Coordinate Plane Introduction graph and label 3-6 Reflect across
February 13, notebook
Module 12 Lesson 1: Graphing on the coordinate plane Lesson 2: Independent and dependent variables in tables and graphs Lesson 3: Writing equations from tables Lesson 4: Representing Algebraic relationships
CCM6+/7+ - Unit 13 - Page 1 UNIT 13. Transformations CCM6+/7+ Name: Math Teacher: Projected Test Date:
CCM6+/7+ - Unit 13 - Page 1 UNIT 13 Transformations CCM6+/7+ Name: Math Teacher: Projected Test Date: Main Idea Pages Unit 9 Vocabulary 2 Translations 3 10 Rotations 11 17 Reflections 18 22 Transformations
Grade Common Core Math
th 5 Grade Common Core Math Printable Review Problems Standards Included:.-Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the
11.6 The Coordinate Plane
11.6 The Coordinate Plane Introduction The Map Kevin and his pen pal Charlotte are both creating maps of their neighborhoods to show each other what it looks like where they live. Kevin has decided to
Section Graphs and Lines
Section 1.1 - Graphs and Lines The first chapter of this text is a review of College Algebra skills that you will need as you move through the course. This is a review, so you should have some familiarity
Shape & Space Part C: Transformations
Name: Homeroom: Shape & Space Part C: Transformations Student Learning Expectations Outcomes: I can describe and analyze position and motion of objects and shapes by Checking for Understanding identifying
X & Y COORDINATES. Teachers Guide
Teachers Guide Background: One piece of information that is essential to us on a daily basis is our location. We may not realize how often we use this type of information, but a little reflection on your
Rational Numbers: Graphing: The Coordinate Plane
Rational Numbers: Graphing: The Coordinate Plane A special kind of plane used in mathematics is the coordinate plane, sometimes called the Cartesian plane after its inventor, René Descartes. It is one
Section 10.1 Polar Coordinates
Section 10.1 Polar Coordinates Up until now, we have always graphed using the rectangular coordinate system (also called the Cartesian coordinate system). In this section we will learn about another system,
Math 20 Practice Exam #2 Problems and Their Solutions!
Math 20 Practice Exam #2 Problems and Their Solutions! #1) Solve the linear system by graphing: Isolate for in both equations. Graph the two lines using the slope-intercept method. The two lines intersect
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,
Math 6, Unit 11Notes: Integers, Graphs, and Functions
Math 6, Unit 11Notes: Integers, Graphs, and Functions We use positive and negative numbers daily in real life. Positive numbers are those numbers greater than zero. They can be written with a positive
Bellwork. Find the absolute value for each point
Bellwork Find the absolute value for each point a 4 b 0 2 c 6 1) a = 2) b = 3) c = 1 How many of you have ever been to a concert or a sports event where you had a ticket. Let's talk about what was on the
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
Page 1 CCM6+ Unit 10 Graphing UNIT 10 COORDINATE PLANE. CCM Name: Math Teacher: Projected Test Date:
Page 1 CCM6+ Unit 10 Graphing UNIT 10 COORDINATE PLANE CCM6+ 2015-16 Name: Math Teacher: Projected Test Date: Main Concept Page(s) Vocabulary 2 Coordinate Plane Introduction graph and 3-6 label Reflect
Example 1: Give the coordinates of the points on the graph.
Ordered Pairs Often, to get an idea of the behavior of an equation, we will make a picture that represents the solutions to the equation. A graph gives us that picture. The rectangular coordinate plane,
Rational Numbers and the Coordinate Plane
Rational Numbers and the Coordinate Plane LAUNCH (8 MIN) Before How can you use the numbers placed on the grid to figure out the scale that is used? Can you tell what the signs of the x- and y-coordinates
Exit Ticket. NYS COMMON CORE MATHEMATICS CURRICULUM Lesson Lesson 14: Ordered Pairs
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 14 6 3 Lesson 14: Ordered Pairs 1. On the map below, the fire department and the hospital have one matching coordinate. Determine the proper order of the ordered
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
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
Please pick up a new book on the back table.
Please pick up a new book on the back table. Use the graphing side of your whiteboard or get graph paper from the counter in the black trays plot the following points: 1. ( 3, 5) 2. (4, 0) 3. ( 5, 2) 4.
Polygons in the Coordinate Plane
Polygons in the Coordinate Plane LAUNCH (8 MIN) Before How can you find the perimeter of the sandbox that the park worker made? During How will you determine whether the park worker s plan for the sandbox
Geometric Ideas. Name
Geometric Ideas R 6-1 Lines, line segments, and rays are basic geometric ideas. They are sometimes described by the relationship they have to other lines, line segments, and rays. Draw Write Say Description
2. If triangle ABC is translated 2 units right and 3 units up, what are the coordinates of C'?
Accelerated Algebra 1/Geometry A Summer Work Name: Please complete each of the following questions. You may use a calculator but you should show all steps to problem solving. You will turn this in to Ms.
Exploring Translations
Exploring Translations 1. New Sketch: To open a new sketch go to FILE and click on New Sketch 2. Create a triangle. a. Using the SEGMENT tool, construct a triangle. b. Drag the cursor and release for each
Math-2. Lesson 3-1. Equations of Lines
Math-2 Lesson 3-1 Equations of Lines How can an equation make a line? y = x + 1 x -4-3 -2-1 0 1 2 3 Fill in the rest of the table rule x + 1 f(x) -4 + 1-3 -3 + 1-2 -2 + 1-1 -1 + 1 0 0 + 1 1 1 + 1 2 2 +
Practices (1) 6.MP.2. Reason abstractly and quantitatively.
Common Core Scope and Sequence Sixth Grade Quarter 3 Unit 6: Coordinate Plane and Proportional Relationships Domain: The Number System, Geometry, Expressions and Equations, Ratios and Proportional Relationships
Graphing Calculator Activity: Compound Inequalities
Graphing Calculator Activity: Compound Inequalities GIVEN: 2 < 3x < 2 STEP : Rewrite Inequality Rewrite as two separate inequalities joined by and. 2 < 3x and 3x < 2 STEP 2: Enter Inequality in Y= To enter
Algebra 1 Interactive Chalkboard Copyright by The McGraw-Hill Companies, Inc. Send all inquiries to:
Algebra 1 Interactive Chalkboard Copyright by The McGraw-Hill Companies, Inc. Send all inquiries to: GLENCOE DIVISION Glencoe/McGraw-Hill 8787 Orion Place Columbus, Ohio 43240 Lesson 4-1 The Coordinate
Sec 4.1 Coordinates and Scatter Plots. Coordinate Plane: Formed by two real number lines that intersect at a right angle.
Algebra I Chapter 4 Notes Name Sec 4.1 Coordinates and Scatter Plots Coordinate Plane: Formed by two real number lines that intersect at a right angle. X-axis: The horizontal axis Y-axis: The vertical
Review for Mastery Using Graphs and Tables to Solve Linear Systems
3-1 Using Graphs and Tables to Solve Linear Systems A linear system of equations is a set of two or more linear equations. To solve a linear system, find all the ordered pairs (x, y) that make both equations
MATH ALGEBRA AND FUNCTIONS 5 Performance Objective Task Analysis Benchmarks/Assessment Students:
Students: 1. Use information taken from a graph or Which table, a or b, matches the linear equation to answer questions about a graph? problem situation. y 1. Students use variables in simple expressions,
The Number Plane THE NUMBER PLANE PASSPORT.
THE NUMBER PLANE PASSPORT www.mathletics.co.nz Fill in the mind-map below with what you already know about number planes. A start has been made for you! Uses a coordinate system developed by the French
14.1 and 14.2.notebook. March 07, Module 14 lessons 1: Distance on a coordinate Plane Lesson 2: Polygons in the Coordinate Plane
Module 14 lessons 1: Distance on a coordinate Plane Lesson 2: Reflection: a transformation of a figure that flips across a line Objectives: solve problems by graphing using coordinates and absolute value
Focus Questions How does the new shape compare to the old shape? How do the coordinates of the new shape compare to the coordinates of the old shape?
Learning Target: Extend their techniques for using integer expressions to record movement on a number line to using expressions to represent movement on the coordinate graph. Practice identifying whether
Unit 7. Rational Explorations Numbers & their Opposites. Advanced Math 6 Unit 7 Calendar 2/ /27 2/28 3/1
Unit 7 Rational Explorations Numbers & their Opposites Number Lines Real World Examples Absolute Value Order Rational Numbers Graph on Coordinate Plane Distance on Coordinate Plane Reflect on Coordinate
Transformations Reflections, and Rotations
Grade level: 9-12 Subject: mathematics Time required: 30 minutes Transformations Reflections, and Rotations by Lynne B. Uebelhoer Activity overview This activity is designed to be used in a middle-school
Lesson 18: There is Only One Line Passing Through a Given Point with a Given
Lesson 18: There is Only One Line Passing Through a Given Point with a Given Student Outcomes Students graph equations in the form of using information about slope and intercept. Students know that if
Chapter 5. Transforming Shapes
Chapter 5 Transforming Shapes It is difficult to walk through daily life without being able to see geometric transformations in your surroundings. Notice how the leaves of plants, for example, are almost
Unit 6 Quadratic Functions
Unit 6 Quadratic Functions 12.1 & 12.2 Introduction to Quadratic Functions What is A Quadratic Function? How do I tell if a Function is Quadratic? From a Graph The shape of a quadratic function is called
NOTES: ALGEBRA FUNCTION NOTATION
STARTER: 1. Graph f by completing the table. f, y -1 0 1 4 5 NOTES: ALGEBRA 4.1 FUNCTION NOTATION y. Graph f 4 4 f 4 4, y --5-4 - - -1 0 1 y A Brief Review of Function Notation We will be using function
Unit 1 NOTES Honors Math 2 1
Unit 1 NOTES Honors Math 2 1 Day 1: Introduction to Transformations and Translations Warm-Up: Prerequisite Skill: Graphing Lines Graph the following lines. 1) x = 2 2) y = 4 3) y = x (Hint: this is y =
Translations, Reflections, and Rotations
* Translations, Reflections, and Rotations Vocabulary Transformation- changes the position or orientation of a figure. Image- the resulting figure after a transformation. Preimage- the original figure.
12.4 Rotations. Learning Objectives. Review Queue. Defining Rotations Rotations
12.4. Rotations www.ck12.org 12.4 Rotations Learning Objectives Find the image of a figure in a rotation in a coordinate plane. Recognize that a rotation is an isometry. Review Queue 1. Reflect XY Z with
ACTIVITY: Frieze Patterns and Reflections. a. Is the frieze pattern a reflection of itself when folded horizontally? Explain.
. Reflections frieze pattern? How can ou use reflections to classif a Reflection When ou look at a mountain b a lake, ou can see the reflection, or mirror image, of the mountain in the lake. If ou fold
11.7 Transformations. Introduction Transformations
11.7. Transformations www.ck12.org 11.7 Transformations Introduction The Clubhouse Cody and his Dad are working on building a clubhouse in his backyard. Cody is excited about the project and can t wait
Topic. Section 4.1 (3, 4)
Topic.. California Standards: 6.0: Students graph a linear equation and compute the x- and y-intercepts (e.g., graph x + 6y = ). They are also able to sketch the region defined by linear inequality (e.g.,
BUILD YOUR VOCABULARY
C H A P T E R 2 BUILD YOUR VOCABULARY This is an alphabetical list of new vocabulary terms you will learn in Chapter 2. As you complete the study notes for the chapter, you will see Build Your Vocabulary
MAT 090 Brian Killough s Instructor Notes Strayer University
MAT 090 Brian Killough s Instructor Notes Strayer University Success in online courses requires self-motivation and discipline. It is anticipated that students will read the textbook and complete sample
R(-14, 4) R'(-10, -2) S(-10, 7) S'(-6, 1) T(-5, 4) T'(-1, -2)
1 Transformations Formative Assessment #1 - Translation Assessment Cluster & Content Standards What content standards can be addressed by this formative assessment? 8.G.3 Describe the effect of dilations
UNIT 4 DESCRIPTIVE STATISTICS Lesson 2: Working with Two Categorical and Quantitative Variables Instruction
Prerequisite Skills This lesson requires the use of the following skills: plotting points on the coordinate plane, given data in a table plotting the graph of a linear function, given an equation plotting
Transformations Worksheet. How many units and in which direction were the x-coordinates of parallelogram ABCD moved? C. D.
Name: Date: 1. Parallelogram ABCD was translated to parallelogram A B C D. 2. A shape is shown below. Which shows this shape transformed by a flip? A. B. How many units and in which direction were the
Section 7.6 Graphs of the Sine and Cosine Functions
Section 7.6 Graphs of the Sine and Cosine Functions We are going to learn how to graph the sine and cosine functions on the xy-plane. Just like with any other function, it is easy to do by plotting points.
3 John likes to experiment with geometric. 4 Which of the following conjectures is true for
1 Rectangle ABCD is drawn on a coordinate plane. Each angle measures 90. The rectangle is reflected across the y axis, translated 9 units down, and then rotated 180 clockwise about the origin. What would
Mathematics. Unit 5: Transformations in the Coordinate Plane
CCGPS Frameworks Student Edition Mathematics CCGPS Coordinate Algebra Unit 5: Transformations in the Coordinate Plane These materials are for nonprofit educational purposes only. Any other use may constitute
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
3.1 The Coordinate Plane
3.1 The Coordinate Plane Learning Objectives Identify coordinates of points. Plot points in a coordinate plane. Graph a function given a table. Graph a function given a rule. Introduction We now make our
Mathematics. Accelerated GSE Algebra I/Geometry A Unit 7: Transformations in the Coordinate Plane
Georgia Standards of Excellence Frameworks Mathematics Accelerated GSE Algebra I/Geometry A Unit 7: Transformations in the Coordinate Plane These materials are for nonprofit educational purposes only.
2-1 Transformations and Rigid Motions. ENGAGE 1 ~ Introducing Transformations REFLECT
2-1 Transformations and Rigid Motions Essential question: How do you identify transformations that are rigid motions? ENGAGE 1 ~ Introducing Transformations A transformation is a function that changes
Lesson 1: Slope and Distance
Common Core Georgia Performance Standards MCC8.G.8* (Transition Standard 01 013; asterisks denote Transition Standards) MCC9 1.G.GPE.4 MCC9 1.G.GPE.5 Essential Questions 1. How is the Pythagorean Theorem
Math 7 Notes - Unit 4 Pattern & Functions
Math 7 Notes - Unit 4 Pattern & Functions Syllabus Objective: (.) The student will create tables, charts, and graphs to etend a pattern in order to describe a linear rule, including integer values. Syllabus
IM 8 Ch How Can I Move A Shape On A Grid (continued) November 15, 2014
Common Core Standard: 8.G.1a, 8.G.1b, 8.G.1c, 8.G.2, 8.G.3, 8.G.4 Is there a different way to get the same result? Did we give enough information? How can we describe the position? CPM Materials modified
Translations SLIDE. Example: If you want to move a figure 5 units to the left and 3 units up we would say (x, y) (x-5, y+3).
Translations SLIDE Every point in the shape must move In the same direction The same distance Example: If you want to move a figure 5 units to the left and 3 units up we would say (x, y) (x-5, y+3). Note:
Student Outcomes. Lesson Notes. Classwork. Opening Exercise (3 minutes)
Student Outcomes Students solve problems related to the distance between points that lie on the same horizontal or vertical line Students use the coordinate plane to graph points, line segments and geometric
Lesson 14: Graph of a Linear Equation Horizontal and Vertical Lines
Lesson 14: Graph of a Linear Equation Horizontal and Vertical Lines Student Outcomes Students graph linear equations in standard form, 0), that produce a horizontal or a vertical line. Lesson Notes The
Geometry CP. Unit 1 Notes
Geometry CP Unit 1 Notes 1.1 The Building Blocks of Geometry The three most basic figures of geometry are: Points Shown as dots. No size. Named by capital letters. Are collinear if a single line can contain
Name: Block: What I can do for this unit:
Unit 8: Trigonometry Student Tracking Sheet Math 10 Common Name: Block: What I can do for this unit: After Practice After Review How I Did 8-1 I can use and understand triangle similarity and the Pythagorean
CCNY Math Review Chapters 5 and 6: Trigonometric functions and graphs
Ch 5. Trigonometry 6. Angles 6. Right triangles 6. Trig funs for general angles 5.: Trigonometric functions and graphs 5.5 Inverse functions CCNY Math Review Chapters 5 and 6: Trigonometric functions and
Enhanced Instructional Transition Guide
Enhanced Instructional Transition Guide / Unit 04: Suggested Duration: 6 das Unit 04: Geometr: Coordinate Plane, Graphing Transformations, and Perspectives (9 das) Possible Lesson 0 (6 das) Possible Lesson
Lines of Symmetry. Grade 3. Amy Hahn. Education 334: MW 8 9:20 a.m.
Lines of Symmetry Grade 3 Amy Hahn Education 334: MW 8 9:20 a.m. GRADE 3 V. SPATIAL SENSE, GEOMETRY AND MEASUREMENT A. Spatial Sense Understand the concept of reflection symmetry as applied to geometric
Grade 6 Middle School Math Solution Alignment to Oklahoma Academic Standards
6.N.1 Read, write, and represent integers and rational numbers expressed as fractions, decimals, percents, and ratios; write positive integers as products of factors; use these representations in real-world
CC Investigation 3: Integers and the Coordinate Plane
Content Standards: 6.NS.6.a, 6.NS.6.b, 6.NS.6.c, 6.NS.7.c, 6.NS.7.d, 7.NS.8, 6.EE.8, 6.G.3 CC Investigation 3: Integers and the Coordinate Plane At a Glance PACING 4 days Mathematical Goals DOMAIN: The
Objective- Students will be able to use the Order of Operations to evaluate algebraic expressions. Evaluating Algebraic Expressions
Objective- Students will be able to use the Order of Operations to evaluate algebraic expressions. Evaluating Algebraic Expressions Variable is a letter or symbol that represents a number. Variable (algebraic)
THIS IS AN EXAMPLE. READ IT CLOSELY TO LEARN HOW TO GRAPH POLYGONS (closed sided figures) ON THE COORDINATE PLANE AND THEN FIND THE AREA.
THIS IS AN EXAMPLE. READ IT CLOSELY TO LEARN HOW TO GRAPH POLYGONS (closed sided figures) ON THE COORDINATE PLANE AND THEN FIND THE AREA. NOW TRY THE PROBLEMS BELOW ON YOUR OWN. DO THESE ON A SEPARATE
Review: Number Systems
Review: Number Systems Divisibility Prime/Composite Properties Factors/Multiples Prime Factorization GCF/LCM Decimals Coordinate Graphing Fractions Integers A number is divisible by If the last digit is
ALGEBRA II SUMMER SKILLS PACK WELCOME TO ALGEBRA II!
ALGEBRA II SUMMER SKILLS PACK WELCOME TO ALGEBRA II! Let's fine-tune those algebra skills! This packet contains procedures, sample problems, and solutions on fundamental concepts that should be mastered
Key Ideas/ Vocabulary
Name: Date: Unit 1 oordinates and Design 1.1 The artesian Plane Key Ideas/ Vocabulary P. 9 5 11, 13-15, 18 1.2 reate Designs P. 15 3 6, 9-12 Math 7 hapter 1 1 P a g e 1.3 Transformations P. 24 3-21, 24
5.2 Functions as Graphs
5.. Functions as Graphs www.ck1.org 5. Functions as Graphs Learning Objectives Graph a function from a rule or table. Write a function rule from a graph. Analyze the graph of a real world situation. Determine
Integrated Algebra A Packet 1
Name Date Integrated Algebra A Packet 1 Lesson/Notes Homework Coordinate Plane HW #1 Connecting Points To Make Figures HW #2 Intro to Transformations/Translations HW #3 Reflections HW #4 Symmetry HW #5
Math 7 Notes - Unit 4 Pattern & Functions
Math 7 Notes - Unit 4 Pattern & Functions Syllabus Objective: (3.2) The student will create tables, charts, and graphs to extend a pattern in order to describe a linear rule, including integer values.
Objectives. Cabri Jr. Tools
^Åíáîáíó=T oéñäéåíáçåë áå=íüé=mä~åé Objectives To use the Reflection tool on the Cabri Jr. application To investigate the properties of a reflection To extend the concepts of reflection to the coordinate
Start Fred Functions. Quadratic&Absolute Value Transformations. Graphing Piecewise Functions Intro. Graphing Piecewise Practice & Review
Honors CCM2 Unit 6 Name: Graphing Advanced Functions This unit will get into the graphs of simple rational (inverse variation), radical (square and cube root), piecewise, step, and absolute value functions.
Pre-Algebra Chapter 3. Angles and Triangles
Pre-Algebra Chapter 3 Angles and Triangles We will be doing this Chapter using a flipped classroom model. At home, you will be required to watch a video to complete your notes. In class the next day, we
3 Vectors and the Geometry of Space
3 Vectors and the Geometry of Space Up until this point in your career, you ve likely only done math in 2 dimensions. It s gotten you far in your problem solving abilities and you should be proud of all
Summer Packet 7 th into 8 th grade. Name. Integer Operations = 2. (-7)(6)(-4) = = = = 6.
Integer Operations Name Adding Integers If the signs are the same, add the numbers and keep the sign. 7 + 9 = 16 - + -6 = -8 If the signs are different, find the difference between the numbers and keep
STANDARDS OF LEARNING CONTENT REVIEW NOTES. Grade 6 Mathematics 3 rd Nine Weeks,
STANDARDS OF LEARNING CONTENT REVIEW NOTES Grade 6 Mathematics 3 rd Nine Weeks, 2016-2017 1 2 Content Review: Standards of Learning in Detail Grade 6 Mathematics: Third Nine Weeks 2016-2017 This resource
Name Period Date LINEAR FUNCTIONS STUDENT PACKET 2: MULTIPLE REPRESENTATIONS 2
Name Period Date LINEAR FUNCTIONS STUDENT PACKET 2: MULTIPLE REPRESENTATIONS 2 LF2.1 LF2.2 LF2.3 Growing Shapes Use variables, parentheses, and exponents in expressions. Use formulas to find perimeter
Test Name: Chapter 3 Review
Test Name: Chapter 3 Review 1. For the following equation, determine the values of the missing entries. If needed, write your answer as a fraction reduced to lowest terms. 10x - 8y = 18 Note: Each column
7-2 Similarity and Transformations
7-2 Similarity and Transformations Warm Up Lesson Presentation Lesson Quiz Holt Geometry McDougal Geometry Warm Up Find the image point when the indicated transformation is applied to the given pre-image
Chapter 2: Transformations. Chapter 2 Transformations Page 1
Chapter 2: Transformations Chapter 2 Transformations Page 1 Unit 2: Vocabulary 1) transformation 2) pre-image 3) image 4) map(ping) 5) rigid motion (isometry) 6) orientation 7) line reflection 8) line
Unit 8 Geometry I-1. Teacher s Guide for Workbook 8.1 COPYRIGHT 2010 JUMP MATH: NOT TO BE COPIED
Unit 8 Geometry In this unit, students will identify and plot points in all four quadrants of the Cartesian plane, and perform and describe transformations (reflections, rotations, translations) in the
GEOMETRY. slide #3. 6th Grade Math Unit 7. 6th Grade Unit 7: GEOMETRY. Name: Table of Contents. Area of Rectangles
Name: 6th Grade Math Unit 7 GEOMETRY 2012 10 17 www.njctl.org 1 Table of Contents Area of Rectangles Area of Parallelograms Area of Triangles Area of Trapezoids Mixed Review Area of Irregular Figures Area
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
Is there a different way to get the same result? Did we give enough information? How can we describe the position? CPM Materials modified by Mr.
Common Core Standard: 8.G.3 Is there a different way to get the same result? Did we give enough information? How can we describe the position? CPM Materials modified by Mr. Deyo Title: IM8 Ch. 6.2.1 What