Macro
(A): (4.7.3, 4.7.4)
Describe and use the properties and relationships
of 2- and 3- dimensional shapes.
Knowledge: (4.7.3, 4.7.4)
The student should have a conceptual understanding
of:
1. Basic geometric elements
a. point, line, line segment, ray
b. intersect, parallel, perpendicular
2. Standard notations: AB(--), AB(-->), AB(<-->),
<ABC
3. Basic 2-dimensional geometric terms, shapes, parts
of shapes, and angles
a. polygon, triangle, quadrilateral, square,
parallelogram, rectangle, trapezoid rhombus, pentagon,
hexagon, octagon, decagon
b. side, vertex, diagonal
c. circle, diameter, radius
d. angle, right, acute, obtuse, straight, vertex
4. Basic 3-dimensional geometric terms, shapes, and
parts of shapes
a. sphere, cube, cone, pyramid, rectangular
prism, cylinder
b. edge, face, vertex, base
5. Two-dimensional properties
a. angle classification
b. number of sides
c. curves or line segments
6. Three-dimensional properties
a. number of faces, edges, vertices
Problem-Solving Skills:
(4.7.3, 4.7.4)
In problem settings, using abilities that comprise
the power base, the student should be able to:
7. Use properties, definitions, and relationships
to identify, classify, and describe 2-dimensional geometric
shapes.
a. number of sides
b. classification of angles
c. curves, line segments
8. Use properties, definitions, and relationships to
identify, classify, and describe 3-dimensional geometric
shapes.
a. number of faces, edges, vertices
9. Use manipulatives such as pattern blocks, geoboards,
tangrams, solids, and paper to demonstrate properties
of 2-dimensional and 3-dimensional shapes.
h. liquid capacity
i. weight
12. Compare and order objects according to a measurable
attribute.
Macro
A | Macro
B | Macro C | Macro
D | Top
Macro (B): (4.7.8)
Use coordinates and paths in maps, tables, and grids.
Knowledge: (4.7.8)
The student should have a conceptual understanding
of:
1. Methods of locating points in the plane
a. point, coordinates, ordered pair
b. horizontal, vertical, latitude, longitude
c. scale, table, grid
The student should be able to:
2. Identify the coordinates of a point on
a grid or map.
3. Plot a point given its coordinates.
Problem-Solving Skills:
(4.7.8)
In problem settings, using abilities that comprise
the power base, the student should be able to:
4. Construct a simple figure by connecting
points given a series of ordered pairs.
5. Use data from a table or grid to solve problems.
6. Interpret information from a map, grid, or table.
7. Construct a grid or table using data.
Macro
A | Macro
B | Macro C | Macro
D | Top
Macro (C): (4.7.1, 4.7.2,
4.7.7, 4.7.10)
Use transformations to determine spatial relationships
among 2-dimensional figures.
Knowledge: (4.7.1, 4.7.2, 4.7.7, 4.7.10)
The student should have a conceptual understanding
of:
1. Geometric transformations and related properties
a. flip, turn, slide, stretch, shrink
b. congruence, similarity, symmetry
c. tessellation
The student should be able to:
2. Identify transformations in nature, art,
and other areas
Problem-Solving Skills:
(4.7.1, 4.7.2, 4.7.7, 4.7.10)
In problem settings, using abilities that comprise
the power base, the student should be able to:
3. Determine lines of symmetry.
4. Identify congruent figures.
5. Use transformations to draw the image of figure.
6. Identify the transformation used given a figure and
its image.
7. Classify a variety of 2-dimensional shapes by congruence
and/or similarity.
Macro
A | Macro
B | Macro C | Macro
D | Top
Macro (D): (4.7.5, 4.7.6,
4.7.9, 4.15.3)
Demonstrate the ways in which geometric shapes and
objects can be measured, combined, subdivided, and changed.
Knowledge: (4.7.5, 4.7.6, 4.7.9, 4.15.3)
The student should have a conceptual understanding
of:
1. Measures of shapes
a. area, perimeter, volume
Problem-Solving Skills:
(4.7.5, 4.7.6, 4.7.9, 4.15.3)
In problem settings, using abilities that comprise
the power base, the student should be able to:
2. Predict the resulting shape when combining,
subdividing, and changing figures.
3. Estimate the area of a region by identifying familiar
subdivisions.
4. Determine the perimeter of a polygon made up of unit
squares.
5. Find possible perimeters for a given area made up
of unit squares and vice versa.
6. Determine the number of cubes in a solid using models.
Macro
A | Macro
B | Macro C | Macro
D | Top
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