Aligned Resources

Introduces students to modular (clock) arithmetic and how modular arithmetic can be used to encode messages using simple shift, multiple and affine ciphers.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Discrete, Number and Operations

Related Topics: addition, affine cipher, arithmetic, cipher, cryptography, decipher, division, encrypt, factors, inverse, modular, multiples, multiplication, remainders, shift cipher, subtraction, time

Students will learn about modular arithmetic in order to decipher encrypted messages.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Discrete, Number and Operations

Related Topics: addition, affine cipher, arithmetic, cipher, cryptography, decipher, division, encrypt, modular, multiples, multiplication, pattern, remainders, shift cipher, subtraction, time

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

Decode encrypted messages to determine the form for an affine cipher, and practice your reasoning and arithmetic skills. Input your guesses for the multiplier and constant. Caesar Cipher III is one of the Interactivate assessment explorers.

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

Primary Subjects: Algebra, Discrete, Number and Operations

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

Encode and decode messages to determine the form for an affine cipher. Input a message to encode, then input your guesses for the constant and multiplier. Caesar Cipher II is one of the Interactivate assessment explorers.

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

Primary Subjects: Algebra, Discrete, Number and Operations

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

Explore perimeter through rectangular and straight-line arrangements of tables, calculating the number of chairs needed to surround different arrangements. Tables and Chairs is one of the Interactivate assessment explorers.

Audiences: Grades 3-5, Grades 6-8

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

Related Topics: addition, agent modeling, arithmetic, associative, coordinate system, dimension, function properties, grouping, integers, multiples, perimeter, scale

Students can create graphs of functions entered as algebraic expressions -- similar to a graphing calculator.

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

Primary Subjects: Algebra, Calculus, Graphs, Trigonometry

Related Topics: algebra, calculus, cartesian coordinate, coordinate plane, cosecant, cosine, cotangent, functions, graph, inverse, linear equations, linear functions, logarithm, parabola, polynomial, positive part of the operand, pre-calculus, range, secant, sine, slope, tangent, trigonometry

Create graphs of functions and sets of ordered pairs on the same coordinate plane. This is like a graphing calculator with advanced viewing options.

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

Primary Subjects: Algebra, Calculus, Graphs, Statistics, Trigonometry

Related Topics: algebra, calculus, cartesian coordinate, coordinate, coordinate plane, coordinate system, cosecant, cosine, cotangent, curve fitting, data plot, exponential, exponents, function properties, functions, graph, graph theory, intervals, linear equations, linear functions, logarithm, parabola, polynomial, positive part of the operand, pre-calculus, range, secant, sine, slope, tangent, trigonometry

This applet allows the user to make observations about the relationship between speed and position and how both of these are affected by initial velocity and the incline on which the biker is traveling.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Algebra, Modeling

Related Topics: algebra, distance, functions, graph, parabola, pre-calculus, scale, simulation

Enter a set of data points and a function or multiple functions, then manipulate those functions to fit those points. Manipulate the function on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph.

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

Primary Subjects: Algebra, Calculus, Modeling, Statistics, Trigonometry

Related Topics: algebra, calculus, cartesian coordinate, coordinate, coordinate plane, coordinate system, cosecant, cosine, cotangent, curve fitting, data plot, deviations, flyer, function properties, functions, graph, linear functions, logarithm, parabola, polynomial, pre-calculus, secant, sine, slides, slope, squares, tangent, trigonometry