Grade 5 • MODULE 6
Grade 5 ? MODULE 6
Problem Solving with the Coordinate Plane
A STORY OF UNITS
5 Mathematics Curriculum
GRADE
Table of Contents
GRADE 5 ? MODULE 6
GRADE 5 ? MODULE 6
Problem Solving with the Coordinate Plane
Module Overview ........................................................................................................ 2 Topic A: Coordinate Systems...................................................................................... 12 Topic B: Patterns in the Coordinate Plane and Graphing Number
Patterns from Rules ...................................................................................... 99 Mid-Module Assessment and Rubric ....................................................................... 192 Topic C: Drawing Figures in the Coordinate Plane.................................................... 202 Topic D: Problem Solving in the Coordinate Plane ................................................... 269 End-of-Module Assessment and Rubric ................................................................... 309 Topic E: Multi-Step Word Problems ......................................................................... 319 Topic F: The Years In Review: A Reflection on A Story of Units................................ 360 Answer Key .............................................................................................................. 450
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Module 6:
Problem Solving with the Coordinate Plane
1
?2015 Great Minds eureka- G5-M6-TE-1.3.0-10.2015
A STORY OF UNITS
Lesson 1 Homework 5?6
Name
Date
1. Answer the following questions using number line below.
a. What is the coordinate, or the distance from the origin, of the
?
b. What is the coordinate of the ?
c. What is the coordinate of the
?
d. What is the coordinate at the midpoint of the and the
?
2. Use the number lines to answer the questions.
0
3
12
Plot so that its distance from the origin is 10.
Plot
so
that
its
distance
is
11 4
from
the
origin. What is the distance from to ?
Plot a point that is 0.15 closer to the origin than .
Plot so that its distance from the
origin
is
3 6
less
than
that
of
.
Lesson 1:
Construct a coordinate system on a line.
4
?2015 Great Minds eureka- G5-M6-SE-1.3.1-11.2015
A STORY OF UNITS
Lesson 1 Homework 5?6
3. Number line shows 12 units. Use number line below to answer the questions.
12
10
8
6
4
2
a. Plot a point at 1. Label it .
b.
Label
a
point
that
lies
at
3
1 2
as
.
c. Label a point, , whose distance from zero is 8 units farther than that of . The coordinate of is __________.
d.
Plot
a
point,
,
whose
distance
from
zero
is
6 2
less
than
that
of
.
The coordinate of is __________.
e.
What
is
the
coordinate
of
the
point
that
lies
17 2
farther
from
the
origin
than
?
Label this point .
f. What is the coordinate of the point that lies halfway between and D? Label this point .
4. Mr. Baker's fifth-grade class buried a time capsule in the field behind the school. They drew a map and marked the location of the capsule with an ? so that his class can dig it up in ten years. What could Mr. Baker's class have done to make the capsule easier to find?
0
Lesson 1:
Construct a coordinate system on a line.
5
?2015 Great Minds eureka- G5-M6-SE-1.3.1-11.2015
A STORY OF UNITS
Lesson 2 Homework 5?6
Name
Date
1.
a. Use a set square to draw a line perpendicular to the -axis through point . Label the new line as the -axis.
x
b. Choose one of the sets of perpendicular lines above, and create a coordinate plane. Mark 5 units on each axis, and label them as whole numbers.
2. Use the coordinate plane to answer the following.
a. Name the shape at each location.
-coordinate 2 5 1 5
-coordinate 4 4 5 1
Shape
b. Which shape is 2 units from the -axis?
c. Which shape has the same - and -coordinate?
Lesson 2:
Construct a coordinate system on a plane.
8
?2015 Great Minds eureka- G5-M6-SE-1.3.1-11.2015
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