Aligned Resources

NCTM
Grades 6-8
Numbers and Operations
Compute fluently and make reasonable estimates

Lessons  •  Activities  •  Show All

Lessons (9)

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

Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Number and Operations

Related Topics: comparing, converting, decimals, denominator, division, divisors, factors, fractions, number line, numerator, ordering, proportion, rational numbers, reducing fraction, subtraction

Students practice and improve upon their estimation skills.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Number and Operations

Related Topics: area, comparing, counting, estimation, length, scale

Finding the factors of whole numbers.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Discrete, Number and Operations

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

Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Number and Operations

Related Topics: addition, arithmetic, decimals, denominator, division, fractions, inverse, lowest common denominator, multiplication, numerator, percents, rational numbers, subtraction

Reinforces skills associated with multiplying fractions and mixed numbers.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Number and Operations

Related Topics: arithmetic, denominator, division, fractions, geometric sequences, graph, improper, iteration, mixed numbers, multiplication, numerator, recursion, sequences, whole numbers

Students practice arithmetic skills. Can be tailored for practice of all types of single operation arithmetic ranging from simple addition to operations with integers and decimals.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Number and Operations

Related Topics: addition, algorithm, arithmetic, coordinate, data, decimals, division, fractions, graph, integers, linear equations, linear functions, multiplication, subtraction

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

Students get practice working with conversion of fractions, decimals, percents through using several of the Interactivate activities.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Number and Operations

Related Topics: area, circle graph, circles, converting, decimals, division, fractions, percents, pie chart, proportion, rational numbers

Activities (9)

Students play a generalized version of connect four, gaining the chance to place a piece on the board by answering arithmetic questions (addition, subtraction, multiplication, division). Parameters: time, difficulty level, types of questions. Arithmetic Four is one of the Interactivate assessment games.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Discrete, Fractions, Number and Operations

Related Topics: addition, arithmetic, division, integers, multiplication, negative number, positive number, positive part of the operand, subtraction, whole numbers

Arithmetic Quiz gives the user randomized questions to answer on arithmetic with whole numbers and integers. Parameters: Level of difficulty and types of questions. Arithmetic Quiz is one of the Interactivate assessment quizzes.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Discrete, Fractions, Number and Operations

Related Topics: addition, arithmetic, associative, commutative, division, integers, multiplication, negative number, positive number, positive part of the operand, subtraction, whole numbers

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

Work with various types of clocks in order to learn about modular arithmetic operations. Parameters: Number of hours on the clock.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Discrete, Number and Operations

Related Topics: addition, division, elapsed time, modular, multiplication, remainders, time

Play a "Connect-Four" style game, earning a game piece each time you answer an estimation question correctly. This game asks the players to estimate the answer to addition, multiplication, and percentage questions. Choose difficulty level, question types, and time. Estimator Four is one of the Interactivate assessment games.

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

Primary Subjects: Number and Operations

Related Topics: addition, arithmetic, assessment, estimation, integers, multiplication, percentages, percents

Test your estimation skills by answering questions. This quiz asks you to estimate the answer to addition, multiplication, and percentage questions. Choose difficulty level, question types, and time. Estimator Quiz is one of the Interactivate assessment quizzes.

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

Primary Subjects: Number and Operations

Related Topics: addition, arithmetic, assessment, counting, distributive, integers, multiplication, percentages, percents

Learn about estimation through modeling of a forest fire. This activity allows the user to burn a virtual forest, then estimate the number, the percent, or the fraction of trees burned. Fire Assessment is one of the Interactivate assessment explorers.

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

Primary Subjects: Modeling, Number and Operations, Probability

Related Topics: estimation, fractions, percentages, percents

Students play a generalized version of connect four, gaining the chance to place a piece after simplifying fractions, converting fractions to decimals and percentages, and answering algebra questions involving fractions. Choose difficulty level, question types, and time. Fraction Four is one of the Interactivate assessment games.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Algebra, Fractions, Number and Operations

Related Topics: addition, algebra, arithmetic, decimals, division, fractions, mixed numbers, multiplication, percentages, percents, rational numbers, solving equations, subtraction

Test your fraction skills by answering questions. This quiz asks you to simplify fractions, convert fractions to decimals and percentages, and answer algebra questions involving fractions. Choose difficulty level, question types, and time. Fraction Quiz is one of the Interactivate assessment quizzes.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Algebra, Fractions, Number and Operations

Related Topics: addition, algebra, arithmetic, decimals, division, divisors, fractions, integers, mixed numbers, multiplication, percentages, percents, subtraction