Interactivate: Standard Expectation

14 items total

Organization: South Carolina Academic Standards for Mathematics
Grade Band: Geometry
Standard Goal: Geometry

G-2.1 Infer missing elements of visual or numerical geometric patterns (including triangular and rectangular numbers and the number of diagonals in polygons).
G-2.2 Apply properties of parallel lines, intersecting lines, and parallel lines cut by a transversal to solve problems.
G-2.4 Use direct measurement to determine the length of a segment, degree of an angle, and distance from a point to a line.
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G-2.1 Infer missing elements of visual or numerical geometric patterns (including triangular and rectangular numbers and the number of diagonals in polygons).

An Introduction to Arithmetic and Geometric Sequences	Lesson: Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
Pascal's Triangle	Lesson: Looks at how Pascal's Triangle can be used to generate Sierpinski triangle-like results.
Recognizing Patterns	Lesson: Students learn to identify a variety of patterns using sequences and tessellations.
Cantor's Comb	Activity: Learn about fractions between 0 and 1 by repeatedly deleting portions of a line segment, and also learn about properties of fractals. Parameter: fraction of the segment to be deleted each time.
Coloring Multiples in Pascal's Triangle	Activity: Color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that are multiples of the number rolled, thereby practicing multiplication tables, investigating number patterns, and investigating fractal patterns. Coloring Multiples in Pascal's Triangle is one of the Interactivate assessment explorers.
Coloring Remainders in Pascal's Triangle	Activity: Color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that have the same remainder when divided by the number rolled, thereby practicing division and remainders, investigating number patterns, and investigating fractal patterns. Coloring Remainders in Pascal's Traingle is one of the Interactivate assessment explorers.
Koch's Snowflake	Activity: Step through the generation of the Koch Snowflake -- a fractal made from deforming the sides of a triangle, and explore number patterns in sequences and geometric properties of fractals.
Pattern Generator	Activity: Recognize patterns in a series of shapes, numbers, or letters. After determining the pattern, the student fills in the missing pieces. Three levels of difficulty are available.
Sierpinski's Carpet	Activity: Step through the generation of Sierpinski's Carpet -- a fractal made from subdividing a square into nine smaller squares and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.
Sierpinski's Triangle	Activity: Step through the generation of Sierpinski's Triangle -- a fractal made from subdividing a triangle into four smaller triangles and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.

G-2.2 Apply properties of parallel lines, intersecting lines, and parallel lines cut by a transversal to solve problems.

Angles	Lesson: Introduces students to acute, obtuse, and right angles as well as relationships between angles formed by parallel lines crossed by a transversal.
Angles	Activity: Practice your knowledge of acute, obtuse, and alternate angles. Also, practice relationships between angles formed by parallel lines - vertical, adjacent, alternate, same-side, and corresponding. Angles is one of the Interactivate assessment explorers.

G-2.4 Use direct measurement to determine the length of a segment, degree of an angle, and distance from a point to a line.

Angles	Lesson: Introduces students to acute, obtuse, and right angles as well as relationships between angles formed by parallel lines crossed by a transversal.
Length, Perimeter, and Area	Lesson: Introduces students to length, perimeter and area.