Aligned Resources

Demonstrates the connections between formulas, graphs and words.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Modeling, Statistics

Related Topics: acceleration, algebra, cartesian coordinate, concave, constant, coordinate, coordinate plane, coordinate system, distance, functions, graph, intervals, linear equations, linear functions, lines, parabola, slope, time, velocity

Students learn to identify a variety of patterns using sequences and tessellations.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Discrete, Geometry, Number and Operations

Related Topics: addition, arithmetic, arithmetic sequences, geometric sequences, hexagon, iteration, multiplication, pattern, planes, polygon, recursion, recursive functions, sequences, squares, symmetry, tessellations, triangle

Create your own affine cipher for encoding and decoding messages. Input your own constant and multiplier, then input a message to encode.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Algebra, Discrete, Number and Operations

Related Topics: addition, arithmetic, cipher, cryptography, division, modular, multiplication, pattern, remainders

Visualize factors through building rectangular areas on a grid. As you draw each factor set on the grid, the factors will be listed. Factorize 2 is one of the Interactivate assessment explorers.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Fractions, Geometry, Number and Operations

Related Topics: area, commutative, division, divisors, factors, multiples, multiplication, rectangles, whole numbers

Plot ordered pairs on the graph, and they will be connected in the order that they are input. This enables you to decide how the pairs should be connected, rather than having the computer connect them from left to right.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Geometry, Graphs, Statistics

Related Topics: cartesian coordinate, coordinate, coordinate plane, coordinate system, data plot, graph, lines, vertical line test

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.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Number and Operations

Related Topics: arithmetic, arithmetic sequences, iteration, pattern, sequences

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.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Fractions, Geometry, Number and Operations

Related Topics: algebra, area, fractals, fractions, geometric sequences, iteration, pattern, pre-calculus, recursion, recursive functions, self-similarity, sequences

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.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Fractions, Geometry, Number and Operations

Related Topics: dimension, fractals, fractions, geometric sequences, geometry, iteration, length, pattern, pre-calculus, recursion, recursive functions, self-similarity, sequences, symmetry, triangle

Plot ordered pairs of numbers, either as a scatter plot or with the dots connected. Points are connected from right to left, rather than being connected in the order they are entered.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Geometry, Graphs, Statistics

Related Topics: cartesian coordinate, coordinate plane, coordinate system, data plot, decimals, graph

Similar to other "flyers", Slope Slider uses slider bars to explore the effect of the multiplier and constant on a linear function of the form f(x)=mx+b. Explore the relationship between slope and intercept in the Cartesian coordinate system.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Graphs

Related Topics: algebra, cartesian coordinate, coordinate plane, decimals, flyer, fractions, function properties, functions, graph, intercept, linear equations, linear functions, slides, slope