Virginia Standards of Learning
Secondary
Algebra II
AII.16 The student will investigate and apply the properties of arithmetic and geometric sequences and series to solve practical problems, including writing the first n terms, finding the nth term, and evaluating summation formulas. Notation will include Σ and an.
Lessons (2)
Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
Introduces students to the concepts of surface area and volume.
Activities (2)
Create your own affine cipher for encoding and decoding messages. Input your own constant and multiplier, then input a message to encode.
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.