lesson 5 homework practice polygons on the coordinate plane

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Polygons in the Coordinate Plane Worksheets

What Are Polygons? Look around you; you see different objects with different shapes. Some are perfectly equal while others are peculiar. Pick a square. Can you see how its lines are equal and closed at every end? Now take a rectangle or a triangle. They all have equal sides and closed ends. They are called polygons. In simple words, any flat figure that is enclosed, made of straight lines, has more than three sides and has many angles is known as a polygon. The sides are identified with the name the polygon has been given. For example, a triangle is a 3-sided polygon. A square is a 4-sided polygon. A pentagon has 5-sides, a hexagon has 6-sides and so on. Like many other shapes, polygons can be regular and irregular. Regular Polygons - When the sides in a polygon are equal, and the number of angles is equal to the number of lines, it is called a regular polygon. Irregular Polygons - But when a polygon's sides don't match, and the angles are not the same, the polygon is known as an irregular polygon.

Aligned Standard: Grade 6 Geometry - 6.G.A.3

• Find a Point Step-by-step Lesson - You're given three points of a rectangle. You are asked to find the fourth point using a grid.
• Guided Lesson - We take this skill and now apply it to maps.
• Guided Lesson Explanation - I talk you through this one. I started by drawing it, but realized the grids we not big enough to do it that way.
• Practice Worksheet - Five pages of walk thoroughs with this one. The skill is covered well.
• Area of Shapes on a Coordinate Grid Five Pack - Use the coordinates to help you solve these.
• Matching Worksheet - I never knew how much information you could learn from just four points on a grid.
• Area of Polygons and Circles Worksheet Five Pack - Go crazy with this gathering of triangles and rectangles.
• Answer Keys - These are for all the unlocked materials above.

Homework Sheets

We start with an outline and find the distance between points. We then bring it to life by making them real.

• Homework 1 - If the points on the coordinate plane below are the three vertices of a rectangle, coordinate the fourth vertex.
• Homework 2 - How do you know? What are the length and width of the rectangle?
• Homework 3 - Find the area of the given figure.

Practice Worksheets

I purposely threw perimeter in here to help the kids focus on the distance between the points and its meaning.

• Practice 1 - Represent the locations as points on a coordinate grid with a unit of 1 mile. What shape might you make if you connect the points on the grid?
• Practice 2 - Find the area of the shape formed. Find the perimeter of the shape formed.
• Practice 3 - Which shape forms between these four icons?

Math Skill Quizzes

These cover a vast number of skills and cross over several standards.

• Quiz 1 - If the points on the coordinate plane below are the three vertices of a rectangle, find the fourth vertex.
• Quiz 2 - What shape might you make if you connect the points on the grid? Approximate the area.
• Quiz 3 - A football field is rectangular. The football field is 20 feet wide and 30 feet from goal line to goal line. What is the area of the football field?

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Lesson 5 Skills Practice Polygons On A Coordinate Plane

Lesson 5 Skills Practice Polygons On A Coordinate Plane - Displaying top 8 worksheets found for this concept.

Some of the worksheets for this concept are Working with polygons, Finding the areas of polygons using the coordinate plane, Math 6 notes the coordinate system, Online geometry textbook mcdougal littell, Practice your skills with answers, Ready mathematics ready as a core, Dilations in the coordinate plane work, The coordinate plane work answers.

Found worksheet you are looking for? To download/print, click on pop-out icon or print icon to worksheet to print or download. Worksheet will open in a new window. You can & download or print using the browser document reader options.

1. Working with Polygons

2. finding the areas of polygons using the coordinate plane ..., 3. math 6 notes (5.3) the coordinate system, 4. online geometry textbook mcdougal littell, 5. practice your skills with answers, 6. ready mathematics ready as a core program., 7. dilations in the coordinate plane worksheet, 8. the coordinate plane worksheet answers.

Curriculum  /  Math  /  5th Grade  /  Unit 7: Patterns and the Coordinate Plane  /  Lesson 5

Patterns and the Coordinate Plane

Lesson 5 of 14

Criteria for Success

Tips for teachers, anchor tasks.

Problem Set

Target Task

Additional practice.

Lesson Notes

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Plot horizontal and vertical lines on a coordinate plane and find patterns in their coordinates.

Common Core Standards

Core standards.

The core standards covered in this lesson

5.G.A.1 — Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

5.G.A.2 — Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

The essential concepts students need to demonstrate or understand to achieve the lesson objective

• Draw horizontal and vertical lines in the coordinate plane. 
• Understand that horizontal lines are parallel to the x -axis and perpendicular to the y -axis and vertical lines are perpendicular to the x -axis and parallel to the y -axis.
• Discern the pattern that horizontal lines all have the same y -value and vertical lines all have the same x -value. 
• Name the coordinates of a point that lies on a horizontal or vertical line, including without needing or being able to plot that point.

Suggestions for teachers to help them teach this lesson

Lesson Materials

• Graph Paper (2 sheets per student)
• Optional : Quarter inch graph paper (2 per student) — This is optional in case you don't have graph paper.

Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.

Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding

25-30 minutes

Amiyah and Brian were playing Battleship. Brian guessed the coordinate pair (5, 8) and got a hit. What coordinates would you recommend Brian give for his next guess? Explain your reasoning.

Guiding Questions

Student response.

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a.   Draw a line that passes through points  $$Y$$  and   $$Z$$ .

b.   Plot one other point on the same line as  $$\overleftrightarrow{YZ}$$  and label it  $$X$$ .

c.   List the coordinates of  $$X$$ ,  $$Y$$ , and  $$Z$$  in the following table.

d.   What do you notice about the coordinates of points  $$X$$ ,  $$Y$$ , and  $$Z$$ ? What do you wonder?

Grade 5, Unit 9, Lesson 3 (2017-2018) is made available by  Achievement First  as a part of their  Open Source web portal  under a CC BY 4.0 license. Copyright © 1999-2017 Achievement First. Accessed May 25, 2018, 3:30 p.m..

Use the table below to answer the following questions.

a.   Before plotting the points, what do you notice about their coordinates? What do you wonder?

b.   Plot the points on a coordinate grid. Then connect the points by drawing a line through all of them.

c.   Determine the coordinates of another point that would lie on this line.

Grade 5 Mathematics > Module 6 > Topic A > Lesson 5 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds . © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US  license. Accessed Dec. 2, 2016, 5:15 p.m..

15-20 minutes

• Problem Set Answer Key

Discussion of Problem Set

• In #1, what’s the relationship of line e  to the x -axis and y -axis?
• What do all of the points of line e  have in common in #1f? 
• In #2, how did you know that the points given in parts (a) and (c) were on a line that was not parallel to the x -axis? For the lines that were parallel to the x -axis, what was the distance of every point on those lines from the x -axis?
• In #3, how did you know that the points given in parts (a) and (b) were on a line that was not parallel to the y -axis? 
• In #4, what’s the relationship of line h  to the x -axis and y -axis?
• What pattern occurs in the coordinate pairs that let you know that line h is vertical in #4d?

A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved

5-10 minutes

Use the following grid to answer Parts (a)-(f).

a.   Use a straightedge to draw a line that goes through points E and F .

b.   Which axis is parallel to the line you drew?

c.   Which axis is perpendicular to the line you drew?

d.   Plot two more points on the line you drew.  Name them G and H .

e.   Give the coordinates of each point below.

E :  ___________ F :  ___________

G :  ___________ H :  ___________

f.   Give the coordinates of another point that falls on the line you drew that isn’t shown in the coordinate plane drawn above. 

The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Extra Practice Problems

• Extra Practice Problems Answer Key

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Topic A: Introduction to the Coordinate Plane

Define a coordinate plane and identify the coordinates of given points. 

Construct a coordinate plane and plot points given their coordinates.

Construct a coordinate plane with non-unit intervals and use it to plot and identify points. 

Determine the interval needed to plot various points and practice plotting and identifying points on coordinate grids with various axes.

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Topic B: Drawing Figures and Shapes in the Coordinate Plane

5.G.A.1 5.G.A.2

Draw parallel lines on a coordinate plane (optional).

Draw perpendicular lines on a coordinate plane (optional).

Draw shapes on a coordinate plane.

Draw symmetric figures on a coordinate plane.

Topic C: Real-World Problems and Patterns on the Coordinate Plane

Understand that a coordinate plane can be used to represent real-world information and interpret coordinate values of points in the context of a situation.

Represent real-world problems by graphing information represented on a table in the coordinate plane and interpret coordinate values of points in the context of a situation.

Represent real-world problems by graphing information given as a description of a situation in the coordinate plane and interpret coordinate values of points in the context of a situation.

5.G.A.2 5.OA.B.3

Generate two numerical patterns using two given rules, plotting the points, and identify multiplicative relationships between corresponding terms.

Generate two numerical patterns using two given rules, plotting the points, and identify more complex relationships between corresponding terms.

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Lesson 5 Skills Practice Polygons On A Coordinate Plane

Displaying top 8 worksheets found for - Lesson 5 Skills Practice Polygons On A Coordinate Plane .

Some of the worksheets for this concept are Working with polygons, Finding the areas of polygons using the coordinate plane, Math 6 notes the coordinate system, Online geometry textbook mcdougal littell, Practice your skills with answers, Ready mathematics ready as a core, Dilations in the coordinate plane work, The coordinate plane work answers.

Found worksheet you are looking for? To download/print, click on pop-out icon or print icon to worksheet to print or download. Worksheet will open in a new window. You can & download or print using the browser document reader options.

1. Working with Polygons

2. finding the areas of polygons using the coordinate plane ..., 3. math 6 notes (5.3) the coordinate system, 4. online geometry textbook mcdougal littell, 5. practice your skills with answers, 6. ready mathematics ready as a core program., 7. dilations in the coordinate plane worksheet, 8. the coordinate plane worksheet answers.