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Appendix A3: North Carolina State Standards4

A3.a: Visualization and Spatial Reasoning

Grades K–3

Grade 2 (Mathematics Standard Course Study and Grade Level Competencies, grade 2)

3.02 Describe the change in attributes as two- and three-dimensional figures are cut and rearranged.

3.03 Identify and make:

a. Symmetric figures.

b. Congruent figures.

Grade 3 (Mathematics Standard Course Study and Grade Level Competencies, grade 3)

5.01 Describe and extend numeric and geometric patterns.

Grades 4–5

Grade 4 (Mathematics Standard Course Study and Grade Level Competencies, grade 4)

Competency goal 3: The learner will recognize and use geometric properties and relationships.

Grade 5 (Mathematics Standard Course Study and Grade Level Competencies, grade 5)

3.03 Classify plane figures according to types of symmetry (line, rotational).

A3.b: Two- and Three-Dimensional Geometry

Grades K–3

Grade 2 (Mathematics Standard Course Study and Grade Level Competencies, grade 2)

3.01 Combine simple figures to create a given shape.

Grade 3 (Mathematics Standard Course Study and Grade Level Competencies, grade 3)

Competency goal 3: The learner will recognize and use basic geometric properties of two- and three-dimensional figures.

3.01 Use appropriate vocabulary to compare, describe, and classify two- and three-dimensional figures.

Grades 4–5

Grade 4 (Mathematics Standard Course Study and Grade Level Competencies, grade 4)

3.02 Describe the relative position of lines using concepts of parallelism and perpendicularity.

Grade 5 (Mathematics Standard Course Study and Grade Level Competencies, grade 5)

Competency goal 3: The learner will understand and use properties and relationships of plane figures.

Objectives:

3.01 Identify, define, describe, and accurately represent triangles, quadrilaterals, and other polygons.

3.02 Make and test conjectures about polygons involving:

c. Sum of the measures of interior angles.

d. Lengths of sides and diagonals.

e. Parallelism and perpendicularity of sides and diagonals.

3.04 Solve problems involving the properties of triangles, quadrilaterals, and other polygons.

a. Sum of the measures of interior angles.

b. Lengths of sides and diagonals.

c. Parallelism and perpendicularity of sides and diagonals.

A3.c: Coordinate Geometry

Grades K–3 (Mathematics Standard Course Study and Grade Level Competencies, grade 3)

3.02 Use a rectangular coordinate system to solve problems.

a. Graph and identify points with whole number and/or letter coordinates.

b. Describe the path between given points

Grades 4–5 (Mathematics Standard Course Study and Grade Level Competencies, grade 4)

3.01 Use the coordinate system to describe the location and relative position of points and draw figures in the first quadrant.

3.02 Describe the relative position of lines using concepts of parallelism and perpendicularity.

A3.d: Transformational Geometry

Grades K–3 (Mathematics Standard Course Study and Grade Level Competencies, grade 2)

Competency goal 3: The learner will perform simple transformations.

Grades 4–5 (Mathematics Standard Course Study and Grade Level Competencies, grade 4)

3.03 Identify, predict, and describe the results of transformations of plane figures.

f. Reflections.

g. Translations.

h. Rotations.

A3.e: Measurement

Grades K–3 (Mathematics Standard Course Study and Grade Level Competencies, grade 3)

Competency goal 2: The learner will recognize and use standard units of metric and customary measurement. Objectives:

2.01 Solve problems using measurement concepts and procedures involving:

i. Elapsed time.

j. Equivalent measures within the same measurement system.

2.02 Estimate and measure using appropriate units.

d. Capacity (cups, pints, quarts, gallons, liters).

e. Length (miles, kilometers).

f. Mass (ounces, pounds, grams, kilograms).

g. Temperature (Fahrenheit, Celsius).

Grades 4–5

Grade 4 (Mathematics Standard Course Study and Grade Level Competencies, grade 4)

Competency goal 2: The learner will understand and use perimeter and area. Objectives:

2.01 Develop strategies to determine the area of rectangles and the perimeter of plane figures.

2.02 Solve problems involving perimeter of plane figures and areas of rectangles.

Grade 5 (Mathematics Standard Course Study and Grade Level Competencies, grade 5)

Competency goal 2: The learner will recognize and use standard units of metric and customary measurement. Objectives:

2.01 Estimate the measure of an object in one system given the measure of that object in another system.

2.02 Identify, estimate, and measure the angles of plane figures using appropriate tools.

  1. Available online at http://www.ncpublicschools.org/curriculum/mathematics/standard2003/toc.html