State Curriculum - Mathematics

 Print pages on legal paper, landscape mode.
Grade 6 Grade 7 Grade 8
Standard 2.0 Knowledge of Geometry: Students will apply the properties of one-, two-, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects. Standard 2.0 Knowledge of Geometry: Students will apply the properties of one-, two-, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects. Standard 2.0 Knowledge of Geometry: Students will apply the properties of one-, two-, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects.
A. Plane Geometric Figures A. Plane Geometric Figures A. Properties of Plane Geometric Figures
1. Analyze the properties of plane geometric figures
 		1. Analyze the properties of plane geometric figures
 		1. Analyze the properties of plane geometric figures
a. Identify, describe, and label points, lines, rays, line segments, vertices, angles, and planes using correct symbolic notation
 a. Identify and describe angles formed by intersecting lines, line segments, and rays
    Assessment limit:
  • Use vertical, adjacent, complementary, or supplementary angles (Include the angle symbol ∠m)
 a. Identify and describe geometric relationships between angles formed when parallel lines are cut by a transversal.
    Assessment limit:
  • Use alternate interior, alternate exterior, or corresponding angles
b. Identify and describe line segments
    Assessment limit:
  • Use diagonal line segments
 b. Identify angles formed when two parallel lines are cut by a transversal
 b. Identify and describe the relationship among the parts of a right triangle
    Assessment limit:
  • Use the hypotenuse or the legs of right triangles
c. Identify and describe the parts of a circle
 c. Identify the parts of right triangles
  
2. Analyze geometric relationships
 		2. Analyze geometric relationships
 		2. Analyze geometric relationships
a. Compare and classify triangles by sides
    Assessment limit:
  • Use scalene, equilateral, or isosceles
 a. Determine a missing angle measurement using the sum of the interior angles of polygons.
    Assessment limit:
  • Use angle measures in a quadrilateral
 a. Determine the measurements of angles formed by parallel lines cut by a transversal
    Assessment limit:
  • Use alternate interior, alternate exterior, and corresponding angles
b. Compare and classify triangles by angle measure
    Assessment limit:
  • Use equiangular, obtuse, acute, or right
 b. Determine the measure of angles formed by intersecting lines, line segments, and rays.
    Assessment limit:
  • Use vertical, adjacent, complementary, or supplementary angles
 b. Apply right angle concepts to solve real-world problems
c. Determine a third angle measure of a triangle given two angle measures
    Assessment limit:
  • Use the concept of the sum of angles in any triangle is 180° without using a diagram
 c. Describe the relationship between the legs and hypotenuse of right triangles
 c. Determine whether three given side lengths form a right triangle
d. Identify and compare the relationship between parts of a circle
    Assessment limit:
  • Use radius, diameter and circumference (=3.14)
    
B. Solid Geometric Figures B. Solid Geometric Figures B. Solid Geometric Figures
C. Representation of Geometric Figures C. Representation of Geometric Figures C. Representation of Geometric Figures
1. Represent plane geometric figures
 		1. Represent plane geometric figures
 		1. Represent plane geometric figures
a. Draw geometric figures using a variety of tools
    Assessment limit:
  • Draw triangles given the measures of 2 sides and one angle or 2 angles and 1 side using whole numbers (0-20) and angle measures (0°-179°)
 a. Construct geometric figures using a variety of construction tools
    Assessment limit:
  • Construct a circle using a given line segment as the radius in whole number inches or centimeters
 a. Draw quadrilaterals
    Assessment limit:
  • Provide given whole number dimensions in inches or centimeters or angle measurements
b. Identify, describe, or draw a polygon
    Assessment limit:
  • Use the first quadrant given no more than six coordinates
 b. Construct geometric figures using a variety of construction tools.
    Assessment limit:
  • Construct a line segment congruent to a given line segment
 b. Construct perpendicular line segments
    Assessment limit:
  • Provide a given point on a given line segment
c. Identify or describe angle relationships
    Assessment limit:
  • Use perpendicular bisectors or angle bisectors
 c. Construct geometric figures using a variety of construction tools
    Assessment limit:
  • Construct a perpendicular bisector to a given line segment or a bisector of a given angle
 c. Construct triangles
    Assessment limit:
  • Construct a triangle congruent to a given triangle
D. Congruence and Similarity D. Congruence and Similarity D. Congruence and Similarity
1. Analyze congruent figures
 		1. Apply the properties of congruent polygons
 		1. Apply the properties of similar polygons
a. Identify and describe congruent polygons and their corresponding parts
 a. Determine the congruent parts of polygons
    Assessment limit:
  • Use the length of corresponding sides or the measure of corresponding angles and whole numbers (0 – 1000)
 a. Determine similar parts of polygons
    Assessment limit:
  • Use the length of corresponding sides or the measure of corresponding angles and rational numbers with no more than 2 decimal places (0 – 1000)
  b. Identify and describe similar polygons and their corresponding parts
  
E. Transformations E. Transformations E. Transformations
1. Analyze a transformation on a coordinate plane
 		1. Analyze a transformation on a coordinate plane
 		1. Analyze a transformation on a coordinate plane
a. Plot the result of one transformation (translation, reflection, rotation) on a coordinate plane
 a. Identify, describe, and plot the results of one transformation on a coordinate plane
    Assessment limit:
  • Identify or plot the result of one translation (horizontal or vertical), reflection (horizontal or vertical), or rotation about a given point (90° or 180°)
 a. Identify, describe, and plot the results of multiple transformations on a coordinate plane
    Assessment limit:
  • Identify or plot the result of two transformations on one figure using translations (horizontal or vertical), reflections (horizontal or vertical), or rotations about a given point (90° or 180°)
  b. Identify and describe transformations that result in rotational and reflectional symmetry
  
 

Note: Highlighted assessment limits will be tested in the no calculator section of MSA. In the assessment limit, (0-10) or (-10 to 10) means all numbers in the problem or the answer will fall within the range of 0 to 10 (including endpoints) or -10 to 10 (including endpoints), respectively. All content standards are tested in MSA but not all objectives. Objectives that have an assessment limit are tested on MSA. Objectives without an assessment limit are not tested on MSA.

 

MSDE has developed a toolkit for these standards which can be found online at: http://mdk12.org/instruction/curriculum/mathematics/vsc_toolkit.html.

 

June 2004