3. Student Learning Map

  • Topic:Geometry
  • Subject(s):Math
  • Days:22
  • Grade(s):4
Key Learning:

The properties of geometric figures determines how we use them in our world.
Unit Essential Question(s):
 
 

How does geometry impact our world?
   
Concept:

Two-Dimensional Figures
Concept:

Transformations
Concept:

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

How can a line be classified?*

(A)

How can a polygon be classified?*

(A)

How can I identify a circle?*

(A)

What are the essential components of benchmark angles?

(A)

How can I classify the angles of a two-dimensional shape? (45, 90, 180, and 360 degrees)

(A)

What similarities exist between any two-dimensional figures?

(ET)
Lesson Essential Question(s):

How can I show a translation?

(A)

How can I show a reflection?

(A)

How can I use rotation to find 45, 90, 180, 270, and 360 degree turns?

(A)

How can I show rotational symmetry?

(A)

How can I change a shape using translation, reflection, or rotation?

(A)
Lesson Essential Question(s):

What differences exist between congruent figures and similar figures?*

(A)

How can I show if a figure has symmetry?*

(A)

What similarities exist in congruent, symmetric, and similar figures?

(ET)
Vocabulary:

polygon, diameter, radius, circumference, benchmark angle, right angle, acute angle, obtuse angle, line, line segment, ray, parallel lines, perpendicular lines, intersecting lines

Vocabulary:

translation (slide), reflection (flip), rotation (turn), rotational symmetry

Vocabulary:

congruent, similar

Concept:

Three-Dimensional Figures
Concept:

Area and Perimeter
Concept:
Lesson Essential Question(s):

How do I use a two-dimensional object to build a three-dimensional object?

(A)
Lesson Essential Question(s):

How can I identify the area and perimeter of a geometric figure?

(A)

How can I show the formula "area = base x height" for the area of a rectangle? (Also referred to as area = length x width)

(A)

How can I show the area and perimeter of combined geometric figures?

(A)

How do I solve real world problems involving perimeter and area?

(A)

How are comparing and solving perimeter and area different?

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

cone, cylinder, rectangular prism, square prism, cube, sphere, triangular prism, pyramid, net

Vocabulary:

area, perimeter, area = base x height; length x width

Vocabulary:

Additional Information:

* Indicates former standard assessed through 2010

Classifying triangles is not tested in fourth grade. SF 8; Solid Figures; Attribute Blocks; Geoboards/Geoshapes; Color Tiles; Kathy Robinson Geometry center; Math Party CD; Pattern Blocks Parts & Wholes; Shape Bait; 3 - D Shape Bait; Geometric Solids; Compass; FCAT Spiral Review.

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Student Learning Map
Vocabulary Report

Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • polygon -

    A closed plane figure made up of line segments

  • translation (slide) -

    To move a shape without rotating or flipping it; a change in the position of a figure that moves it up, down, or sideways

  • area -

    The number of square units needed to cover the surface

  • congruent -

    The same shape and the same size

  • cone -

    A solid object with a base that is a circle and curved surface that meets at a point

  • perimeter -

    The distance around the outside of a shape

  • cylinder -

    A solid object with two congruent circular baes and one curved side

  • similar -

    Objects that have the same shape and may or may not have the same size

  • reflection (flip) -

    To move a shape by flipping it, producing an image or shape as it would be seen in a mirror

  • rectangular prism -

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

  • area = base x height; length x width -

    Formula for area

  • rotation (turn) -

    To move a shape in a circular movement around a central point that stays fixed and everything else moves around that point in a circle

  • rotational symmetry -

    When a shape can be rotated some amount and it still looks the same

  • square prism -

    A solid object whose faces are all squares

  • cube -

    A solid object with six congruent squares as faces

  • sphere -

    A solid object that is perfectly round

  • triangular prism -

    A prism with two identical, triangular bases

  • pyramid -

    A solid object with a polygon as a base and triangular faces that taper to a vertex (point)

  • net -

    A flat shape or pattern used to make a 3-D solid

  • diameter -

    A line segment that connects two points on a circle and passes through the center

  • radius -

    Any line segment that connects the center to a point on the circle

  • circumference -

    The distance around the edge of a circle

  • benchmark angle -

    Angles that are commonly used for estimation; (45°, 90°, 180°, 360°)

  • right angle -

    An angle that measures 90°

  • acute angle -

    An angle that is less than 90°

  • obtuse angle -

    An angle that is greater than 90°

  • line -

    A long, thin continuous mark that goes in two directions

  • line segment -

    A part of a line that has two endpoints

  • ray -

    A part of a line that has one endpoint and continues endlessly in one direction

  • parallel lines -

    Lines that are the same distance apart at any point of the line and never intersect

  • perpendicular lines -

    Two intersecting lines that form a right angle (90°)

  • intersecting lines -

    Lines that cross at one point