MATH STRAND I:
PATTERNS, RELATIONS, AND FUNCTIONS
1. Apply the relation between doubling the side of a regular figure and the corresponding increase in area.
Test items will involve 3, 4, or 6-sided regular polygons. (A regular figure is a figure with all sides congruent and all angles congruent.) The regular polygon may be illustrated on a grid or a grid may be provided. Test items will include only two-dimensional regular figures (i.e., square, equilateral triangle, and hexagon). Test items may include illustrations of squares and triangles. Items that involve hexagons will include an illustration of a hexagon on a grid. Students may be asked to explain how the area of a regular polygon is affected by an increase in the length of its sides.
2. Determine the rule, identify missing numbers, and/or find the nth term in a sequence of numbers or a table of numbers involving one operation or power.
Students need to be able to recognize, describe, and extend a variety of patterns and to use patterns to make generalizations and predictions. Test items require the student to continue a pattern by identifying or supplying a missing element(s) and/or describing the rule. Students will observe the number patterns in either a sequence of numbers or a table of number pairs.
A number pattern can include whole numbers, fractions, and decimal numbers, or numbers with exponents. The number pattern used in a sequence of numbers, or in a table, may be a combination of addition, subtraction, multiplication, or division. Patterns involving exponential numbers will involve only one operation.
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