Common Core Learning Standards

Common Core Learning Standards

GRADE 5 Mathematics

GEOMETRY

Common Core Learning Standards

Concepts

Embedded Skills

Vocabulary

Graph points on the coordinate plane to solve real-world and mathematical problems.

coordinate plane

Define the coordinate plane as a set of perpendicular lines, called axes.

coordinate plane

perpendicular lines

origin

y-coordinate

x-coordinate

y-axis

x-axis

1st quadrant

points

horizontal

vertical

intersecting lines

ordered pair

coordinates

Define the intersection of the perpendicular lines as the origin.

5.G.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).

Define the first number in an ordered pair as how far the point travels left or right, known as the x-coordinate.

Define the second number in an ordered pair as how far the point travels up or down, known as the y-coordinate.

Describe the horizontal axis as the x-axis and the vertical axis as the y-axis.

Plot an ordered pair on the first quadrant positive numbers

SAMPLE TASKS (see below)

Graph points on the coordinate plane to solve real-world and mathematical problems

(987654321 )

(0 1 2 3 4 5 6 7 8 9)

1a) Plot the following coordinate pairs on the grid above: A (2,4) B (2,8) C (8,4) D(8,8)

1b) If you connected point A to point B. Then connect point D to point C. What type of line segments have you drawn?

1c) If you connect point A to point B, point B to point C, point C to point D, and point D to point A, what geometric figure have you

drawn?

1d) List two properties of this geometric figure.

DIRECTIONS: Show and label your work on the grid above.

2a) Sarah draws a line segment from A (1,8) to B (7,8). She then draws a line segments from C (5,0) to D (5,8). What type of line segment did she draw?

2b) Name two sets of ordered pairs that when connected from a line segment parallel to line segment AB.

ANSWERS VARY

Common Core Learning Standards

Concepts

Embedded Skills

Vocabulary

Graph points on the coordinate plane to solve real-world and mathematical problems.

graphing coordinates

Graph points in the first quadrant based on word problems.

coordinates

quadrant

Aaxes

ordered pairs

origin

1st quadrant

points

horizontal

vertical

intersecting lines

ordered pair

coordinates

Plot coordinates on a plane.

5.G.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.

Plot an ordered pair on the first quadrant positive numbers

SAMPLE TASKS

TEACHER NOTE SINCE WE COULDNT ADD GRAPHIC TO GRID, USE THE FOLLOWING:

SCHOOL (0,6) LIBRARY (5,7) JUANS HOUSE (3,2) ANDYS HOUSE (7,0)

DIRECTIONS Use the coordinate grid below to find the ordered pairs that describe each location.

1) Where is Juans house located on the grid?

1b) Where is the school located on the grid?

1c) Draw and label Andys house located at point (7,0)

1d) Juan is leaving his house to walk to the library where he will meet Andy. He goes to (7,5). Did Juan make it to the library? Explain why or why not?

() () () () ( 0) ( 0 1 2 3 4 5 6 7 8 9)

Common Core Learning Standards

Concepts

Embedded Skills

Vocabulary

Classify two-dimensional figures into categories based on their properties.

categories of two-dimensional figures

Identify given polygons.

Polygons

Attributes

Category

Subcategory

Properties

Congruent

Two-dimensional figures

Three-dimensional figures

Polygons

Describe the attributes of given polygons

5.G.3.

Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.

Categorize polygons according to their attributes.

Define subcategories within polygon categories.

Describe polygons belonging to a category also belong to all subcategories.

SAMPLE TASKS

1) All rectangles are parallelograms but not all parallelograms are rectangles. Explain, in detail, why this statement is true.s

2) What t is the difference between a regular and irregular polygon? Draw an label a regular polygon and us e a ruler to draw and label an example of one regular polygon and one irregular polygon.

3) Identify the figure below

3b) Use your ruler to determine if the polygon is regular polygon? Explain your answer

Common Core Learning Standards

Concepts

Embedded Skills

Vocabulary

Classify two-dimensional figures into categories based on their properties.

hierarchy of figures

Classify two-dimensional figures based on their properties.

two-dimensional figures

hierarchy

properties

Classify two-dimensional figures in a hierarchy based on their properties.

5.G.4.

Classify two-dimensional figures in a hierarchy based on properties.

SAMPLE TASKS

( Polygons) A.

(4 sided) (3 sided)

_____________, isosceles, ____________,____________ trapezoid parallelogram

________, rhombus, _____________

B. What three properties do all triangles have in common? ________________

________________

________________

C. What is the angle sum of all quadrilaterals? __________

D. Describe what all parallelograms have in common?

Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics-- Permission to use (not alter) and reproduce for educational purposes only.