Interactivate: Standard Expectation

16 items total

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

IA-6.1 Categorize a sequence as arithmetic, geometric, or neither.
IA-6.2 Carry out a procedure to write a specified term of an arithmetic or geometric sequence when given the nth term of the sequence.
IA-6.3 Carry out a procedure to write a formula for the nth term of an arithmetic or geometric sequence when given at least four consecutive terms of the sequence.
IA-6.4 Carry out a procedure to write a formula for the nth term of an arithmetic or geometric sequence when given at least four terms of the sequence.
IA-6.7 Carry out a procedure to determine consecutive terms of a sequence that is defined recursively.
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IA-6.1 Categorize a sequence as arithmetic, geometric, or neither.

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.
Patterns in Fractals	Lesson: Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
Patterns in Pascal's Triangle	Lesson: Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns.
Another Hilbert Curve Generator	Activity: Students work step-by-step through the generation of a different Hilbert-like Curve (a fractal made from deforming a line by bending it), allowing them to explore number patterns in sequences and geometric properties of fractals.
Sequencer	Activity: Learn about number patterns in sequences and recursions by specifying a starting number, multiplier, and add-on. The numbers in the sequence are displayed on a graph, and they are also listed below the graph.
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.
Tortoise and Hare Race	Activity: Step through the tortoise and hare race, based on Zeno's paradox, to learn about the multiplication of fractions and about convergence and limits to an infinite sequence.

IA-6.2 Carry out a procedure to write a specified term of an arithmetic or geometric sequence when given the nth term of the sequence.

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.
Sequencer	Activity: Learn about number patterns in sequences and recursions by specifying a starting number, multiplier, and add-on. The numbers in the sequence are displayed on a graph, and they are also listed below the graph.

IA-6.3 Carry out a procedure to write a formula for the nth term of an arithmetic or geometric sequence when given at least four consecutive terms of the sequence.

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.
Sequencer	Activity: Learn about number patterns in sequences and recursions by specifying a starting number, multiplier, and add-on. The numbers in the sequence are displayed on a graph, and they are also listed below the graph.

IA-6.4 Carry out a procedure to write a formula for the nth term of an arithmetic or geometric sequence when given at least four terms of the sequence.

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.
Sequencer	Activity: Learn about number patterns in sequences and recursions by specifying a starting number, multiplier, and add-on. The numbers in the sequence are displayed on a graph, and they are also listed below the graph.

IA-6.7 Carry out a procedure to determine consecutive terms of a sequence that is defined recursively.

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.
Introduction to Fractals: Infinity, Self-Similarity and Recursion	Lesson: Introduces students to the ideas involved in understanding fractals.