11/6/2018 Bell Work On the white boards write an Integer that models the situation. 25 degrees below sea level Deposit of 100 dollars What is the opposite: (-6)

My Daily Expectations Arrive on time. Be prepared for class. Clean up after yourself. Believe that you can be successful. Follow directions. Get help if you need it. Use inside voices in the classroom. Stay focused and on task.

Agenda Bell Work Review Essential Question Relevance Prior learning Modeling Guided Practice Closure/CFU Reflection Independent Practice HAVE A GREAT DAY!

Why do we need to learn about integers? Relevance: Why do we need to learn about integers? Integers are the absolute solid base on which mathematics stand. Integers are whole numbers. They can be positive (non-negative) integers or negative integers. Without these whole numbers we would not be able to complete a mathematical equation or work with numbers in our daily lives.

Prior Learning We have been talking about integers for a few days. You have learned to read and write integers, find the opposite, find the absolute value of an integer, and use integers in real world situations. Today we will focus on using the coordinate plane to graph integers. Applying and extending our understanding of the system of rational numbers (LG). This relates to our LG of extending our knowledge of the rational number system

All Eyes on me Look at the index card you received from me. Some cards have a first number ( 9, ?) Some cards have a second number ( ?, 3) For this activity I want groups of 3. All individuals in the group will have the same number NO I do not mean you will all have the same number, but you will all have either a first number or a second number Questions……… 1min…..GO!!

X-Axis Y-Coordinate Y-Axis Origin Coordinate Pair X-Coordinate 11/6/2018 Prior Learning X-Axis Y-Coordinate Y-Axis Origin Coordinate Pair X-Coordinate Think-Pair-Share Discuss these vocabulary terms and what you remember about these terms with your partner/small group. Use the posted notes to make comments about what you discussed about that VOCAB WORD. Reminder I should here……MATH TALK (5 Minutes) Writer will write, reporter will share what was discussed gofer will place sticky note, and . Point out the posters on the wall. Remind students what the strategy looks like.

Group Roles Writer- records information on the sticky notes Reporter- shares with class Gofer- when asked will place sticky note on the chart

Today we will be learning how to plot points on the coordinate grid Today’s learning Today we will be learning how to plot points on the coordinate grid

Don’t be Scared

Why do we need to learn about graphing on the coordinate plane? Relevance: Why do we need to learn about graphing on the coordinate plane? Coordinate plans can be used to help you find out where you are at/where you are going, lay out roads, and computer screens.

Can you think of some other examples that would use coordinate planes? Use your white boards to answer this question. Show Down with ME…… 2 minutes

Learning Goal/Standard Learning Goal: Students will be able to (SWBAT) Apply and extend previous understandings of numbers to the system of rational numbers. Standard: 6.NS.6: Students will be able to understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. b. Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes. c. Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.

Learning Goal Scale 2 minutes Learning Goal: Apply and extend previous understandings of numbers to the system of rational numbers. Standard: 6.NS.6 c. Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane. Please fill out your learning goal scale pasted in your notebooks… 2 minutes

Essential Question How do I Plot and locate integers and rational number pairs on the coordinate plane. 6.NS.6c

Get out your Foldable We are going to complete our graphing foldable You can choose up to 4 different colors to complete this activity. **I have some important information to tell you about the math terms you will be hearing and using…please stay alert

Points and their Coordinates Coordinate Plane In your foldable draw and label your x-axis in a color Draw and label the Y-axis using a different color Identify the origin using a different color y axis x axis Label the x-axis one color, and the y-axis another color. The origin is where the x-axis and the y-axis meet. The origin is always our starting point for graphing co-ordinates. It’s location is (0,0) origin

II I III IV The Coordinate Plane is divided into four quadrants. Remember Quad means 4, so the graph is divided into 4 sections. II I The four quadrants are numbered one through four using Roman Numerals. Notice the Roman numerals. Roman numerals are a system of numerical notations used by the Romans. They are an additive (and subtractive) system in which letters are used to denote certain "base" numbers, and arbitrary numbers are then denoted using combinations of symbols. The numbers are counter-clockwise on the coordinate grid III IV

(5, 6) Plotting Points in the Coordinate Plane (5, 6) is an example of an ordered pair. x coordinate y coordinate (5, 6) 6 To describe locations of points in the coordinate plane we use ordered pairs of numbers. Order is important, so on the coordinate plane we use the form (X,Y) the first coordinate represents the point’s location from zero on the X-axis, and the second coordinate represents the point’s location from zero on the Y-axis. 5

(5, 6) Plotting Points in the Coordinate Plane (5, 6) is an example of an ordered pair. x coordinate y coordinate (5, 6) They are two numbers that make one point. Common misconception: students think that the two numbers have to be plotted separately…..

(x, y) It is like entering a hotel … (– 3, 4) (– 3, 4) up the elevator in the door up the elevator (– 3, 4) (– 3, 4) left 3 up 4

II I III IV The Coordinate Plane is divided into four quadrants. Do we notice a pattern each Quadrant? II I What Quadrant is the point (0,4)? Students may notice that all the points located in Quad 1 will (+,+) Quad 2 (-,+) Quad 3 (-,-) and Quad 4 (+,-). Students need to understand that points located on the x-axis or y-axis are NOT in Quadrants, but located on the axis. All coordinates that begin with a 0 first (0, #) will be located on the Y-axis, and all coordinates with a 0 second (#, 0) will be located on the X-axis III IV

With your shoulder partner use the white boards to identify some key points about the coordinate plane 2 minutes

Graphing is simple, just DON’T fall for these FOOFOO’S Always go left/right BEFORE up/down Remember that quadrants are numbered counter-clockwise Negative numbers are located to the Left of 0 on the x-axis Negative numbers are located BELOW 0 on the y-axis Points located on the X-axis or the Y-axis are NOT in a Quadrant.

Show What You Know You are now going to become human points on the coordinate plane!!! Use your index cards to locate someone that has either the first or last number to complete an ordered pair Use the coordinate grid on the floor to locate your correct position Use the pink index cards to label your point. (you will need something to write with) Any Questions? Let’s get started…..GGGOOO

CFU/Closure Use your dry erase board to complete the following: 1) Write the steps for graphing the coordinate (-3,-2). 2) Explain what Quadrant this point is located in, and how you know.

Reflection Write 1 thing you learned 1 thing you don’t understand 1 question you have

Complete for Monday/Funday Work on Engage NY lesson 15 Please respond to the poll on the website **Remember the Double 0’s website has: PowerPoint Lesson activities Engage NY Lessons Tutoring Sign up

Additional practice

Plot the following points. A(– 4, 6) B(2, – 3) A(– 4, 6) C(– 6, – 4) D(7, 3) D(7, 3) C(– 6, – 4) B(2, – 3) These points all lie in different quadrants. What do you notice about their coordinates?

Plot the following points. These points all lie on the axes, not in quadrants. What do you notice about their coordinates?