3. Student Learning Map

  • Topic:Geometry
  • Subject(s):Math
  • Days:10
  • Grade(s):5
Key Learning:

Geometric figures can be described, classified, and drawn using their attributes.
Unit Essential Question(s):
 
 

How can two- and three- dimensional geometric shapes be described, classified, and drawn using their attributes?

   
Concept:

Two-Dimensional Figures
Concept:

Three-Dimensional Figures
Concept:

Similarity, Congruence, and Symmetry
Lesson Essential Question(s):

How can I identify different angles?*

 (A)

What are the relationships between points, lines, line segments, and rays?*

 (A)

What are the relationships between parts of a circle?*

 (A)

How can I classify and describe a polygon based on its characteristics?

 (A)
Lesson Essential Question(s):

What strategies can I use to identify a solid figure?

 (A)

How do I identify and classify three-dimensional figures?

 (A)

How do I use nets to create a three-dimensional figure?

 (A)
Lesson Essential Question(s):

What is the relationship between similarity and congruency when describing shapes?*

 (A)

How can I show a figure is symmetrical?*

 (A)

How can I use characteristics of similarity and congruency to define shapes?

 (ET)

Where would I use a line of symmetry to help me solve problems?

 (ET)
Vocabulary:

right angle, obtuse angle, acute angle, radius, diameter, chord, circumference, polygon, decagon, two-dimensional, rhombus, triangle, quadrilateral, trapezoid, hexagon, rectangle, octagon

Vocabulary:

solid figure, three-dimensional, rectangular prism, cube, pyramid, face, vertex, vertices, sphere, cone, cylinder, triangular prism, net

Vocabulary:

similar, congruent, symmetry, line of symmetry

Concept:

Transformation
Concept:

Coordinate Grid
Concept:
Lesson Essential Question(s):

How can I transform a figure?*

 (A)
Lesson Essential Question(s):

How can I locate a point on a coordinate grid?

 (A)

How can I graph (plot) a point on a coordinate grid?

 (A)

How can I show transformations of a figure on a coordinate grid?

 (ET)
Lesson Essential Question(s):
Vocabulary:

transformation, translation (slide), reflection (flip), rotation (turn)

Vocabulary:

ordered pairs, x-axis, y-axis, coordinates

Vocabulary:

Additional Information:

*Indicates former standard assessed through 2010.

SF 6, SF 12:9; Kathy Robinson Geometry Center, pentominoes, geoboards, pattern blocks, Shape Bait, Math Party CD

View As PDF

Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • ordered pairs -

    Two numbers written in a certain order; can be used to show the position on a graph, where the "x" (horizontal) value is first, and the "y" (vertical) value is second

  • solid figure -

    Three dimensional object(3-D); width, depth, height, and length

  • right angle -

    An angle which is equal to 90°

  • similar -

    Having the same shape but not necessarily the same size

  • transformation -

    Moving a shape or object so that it is in a different position; still has the same size, area, angles, and line lengths

  • translation (slide) -

    To move a shape or object without rotating or flipping

  • obtuse angle -

    An angle which measures more than 90° but less than 180°

  • congruent -

    The same shape and size

  • three-dimensional -

    An object that has three dimensions

  • x-axis -

    The line on a graph that runs horizontally (left-right) through zero

  • acute angle -

    An angle less than 90°

  • rectangular prism -

    A solid object whose faces are all squares; with two identical, rectangular bases

  • y-axis -

    The line on a graph that runs vertically (up-down) through zero

  • reflection (flip) -

    Turn a shape or object over (mirror image)

  • symmetry -

    One shape becomes exactly like another if you flip, slide, or turn it

  • coordinates -

    Set of values that show an exact position; commonly used on maps and graphs to show where a point/location is

  • cube -

    A box-shaped solid object that has six identical square faces

  • rotation (turn) -

    To turn a shape or object

  • line of symmetry -

    The imaginary line where you could fold the image and have both halves match exactly

  • pyramid -

    A solid object where the base is a polygon and the sides are triangles which meet at the top

  • face -

    Any of the individual surfaces of a solid object

  • vertex -

    Corner

  • radius -

    The distance from the center to the edge of a circle

  • vertices -

    More than one corner

  • diameter -

    A straight line going through the center of a circle connecting two points on the circumference

  • chord -

    A straight line joining two points on the circumference of a circle

  • sphere -

    An object shaped like a ball

  • circumference -

    The distance around the edge of a circle

  • polygon -

    A plane shape (2-D) with straight sides

  • cone -

    An object with a circular base and one vertex

  • cylinder -

    A solid object with two flat ends and a curved surface

  • decagon -

    A ten-sided polygon

  • triangular prism -

    A three-sided prism with a triangular base

  • two-dimensional -

    A shape that only has two dimensions (such as width and height); no thickness

  • net -

    A pattern that can be cut and folded to make a model of a solid shape

  • rhombus -

    A four-sided shape where all sides have equal length, opposite sides are parallel, and opposite angles are equal

  • triangle -

    A three-sided polygon; a flat shape with straight sides

  • quadrilateral -

    A flat shape with four straight sides

  • trapezoid -

    A quadrilateral with one pair of opposite sides parallel

  • hexagon -

    A six-sided polygon

  • rectangle -

    A four-sided polygon where every angle is a right angle

  • octagon -

    An eight-sided polygon