Common Core Grade 5 Math (Worksheets, Homework, Lesson Plans)

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The following lesson plans and worksheets are from the New York State Education Department Common Core-aligned educational resources. The Lesson Plans and Worksheets are divided into six modules.

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Eureka Math Grade 5 Module 6 Lesson 3 Answer Key

Engage ny eureka math 5th grade module 6 lesson 3 answer key, eureka math grade 5 module 6 lesson 3 problem set answer key.

Engage NY Math Grade 5 Module 6 Lesson 3 Problem Set Answer Key 1

Question 2. For all of the following problems, consider the points A through N on the previous page. a. Identify all of the points that have an x-coordinate of 3\(\frac{1}{3}\). Answer : The points that have an x-coordinate of 3\(\frac{1}{3}\) are J, I, H and D .

b. Identify all of the points that have a y-coordinate of 2\(\frac{2}{3}\). Answer : The points that have a y-coordinate of 2\(\frac{2}{3}\) are E, F, H and K .

c. Which point is 3\(\frac{1}{3}\) units above the x-axis and 2\(\frac{2}{3}\) units to the right of the y-axis? Name the point, and give its coordinate pair. Answer : Point H and its coordinate pair is ( 3\(\frac{1}{3}\) , 2\(\frac{2}{3}\) )

d. Which point is located 5\(\frac{1}{3}\) units from the y-axis? Answer : Point C .

e. Which point is located 1\(\frac{2}{3}\) units along the x-axis? Answer : Point M .

f. Give the coordinate pair for each of the following points. K: __ I: ______ B: ______ C: ______ Answer : The coordinate pair of K is (5\(\frac{1}{3}\), 2\(\frac{2}{3}\)) The coordinate pair of I is (3\(\frac{1}{3}\), 1\(\frac{2}{3}\)) The coordinate pair of B is (5\(\frac{2}{3}\), 0) The coordinate pair of C is (0, 5\(\frac{1}{3}\) )

Engage-NY-Eureka-Math-5th-Grade-Module-6-Lesson-3-Answer-Key-Eureka-Math-Grade-5-Module-6-Lesson-3-Problem-Set-Answer-Key-Question-2-j

Eureka Math Grade 5 Module 6 Lesson 3 Exit Ticket Answer Key

Eureka Math 5th Grade Module 6 Lesson 3 Exit Ticket Answer Key 1

Eureka Math Grade 5 Module 6 Lesson 3 Homework Answer Key

Eureka Math Grade 5 Module 6 Lesson 3 Homework Answer Key 1

Question 2. For all of the following problems, consider the points K through X on the previous page. a. Identify all of the points that have a y-coordinate of 1\(\frac{3}{5}\). Answer : The points that have a y-coordinate of 1\(\frac{3}{5}\) are R, M and Q.

b. Identify all of the points that have an x-coordinate of 2\(\frac{1}{5}\). Answer : The points that have an x-coordinate of 2\(\frac{1}{5}\) are O, M and L .

c. Which point is 1\(\frac{3}{5}\) units above the x-axis and 3\(\frac{1}{5}\) units to the right of the y-axis? Name the point, and give its coordinate pair. Answer : Point P and its coordinate pair is ( 1\(\frac{3}{5}\) , 3\(\frac{1}{5}\) )

d. Which point is located 1\(\frac{1}{5}\) units from the y-axis? Answer : Point K .

e. Which point is located \(\frac{2}{5}\) unit along the x-axis? Answer : Point R .

f. Give the coordinate pair for each of the following points. T: ________ U: ________ S: ________ K: ________ Answer : The coordinate pair of T is (2\(\frac{3}{5}\), 2\(\frac{4}{5}\)) The coordinate pair of U is ( \(\frac{3}{5}\), \(\frac{3}{5}\)) The coordinate pair of S is ( 1, \(\frac{2}{5}\)) The coordinate pair of K is (1\(\frac{1}{5}\), 3\(\frac{2}{5}\))

g. Name the points located at the following coordinates. (\(\frac{3}{5}\), \(\frac{3}{5}\)) ______ (3\(\frac{2}{5}\), 0) ______ (2\(\frac{1}{5}\), 3) ______ (0, 2\(\frac{3}{5}\)) ______ Answer : (\(\frac{3}{5}\), \(\frac{3}{5}\)) is Point U (3\(\frac{2}{5}\), 0) is Point X (2\(\frac{1}{5}\), 3) is Point L (0, 2\(\frac{3}{5}\)) is Point W

h. Plot a point whose x- and y-coordinates are equal. Label your point E. Answer : Point is plotted at (1,1) where x and y coordinates are 1

i. What is the name for the point on the plane where the two axes intersect? ___________ Give the coordinates for this point. ( ____ , ____ ) Answer : (0,0) ,Origin .

Engage-NY-Eureka-Math-5th-Grade-Module-6-Lesson-3-Answer-Key-Eureka-Math-Grade-5-Module-6-Lesson-3-Homework-Answer-Key-Question-2-h

l. What is the distance of MQ? Answer : Same y coordinates so subtract only x coordinates . Point M is at 2\(\frac{1}{5}\) Point Q is at  3\(\frac{1}{5}\) Distance of MQ = 3 \(\frac{1}{5}\) – 2\(\frac{1}{5}\) = \(\frac{16}{5}\) – \(\frac{11}{5}[/latex = [latex]\frac{5}{5}\) =1

m. Would RM be greater than, less than, or equal to LN+MQ? Answer : Same y coordinates so subtract only x coordinates . Point M is at 2\(\frac{1}{5}\) Point R is at  \(\frac{2}{5}\) Distance of RM = 2 \(\frac{1}{5}\) – \(\frac{2}{5}\) = \(\frac{11}{5}\) – \(\frac{2}{5}\) = \(\frac{9}{5}\) Distance of LN = \(\frac{4}{5}\) Distance of MQ = 1 LN +MQ = 1 + \(\frac{4}{5}\) = \(\frac{9}{5}\) RM is Equal to LN +MQ

n. Leslie was explaining how to plot points on the coordinate plane to a new student, but she left off some important information. Correct her explanation so that it is complete. “All you have to do is read the coordinates; for example, if it says (4, 7), count four, then seven, and put a point where the two grid lines intersect.” Answer: Leslie should say how to specify which is x and y coordinates and how to plot the points .

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