Aligned Resources

South Carolina Academic Standards for Mathematics
6th Grade
Numbers and Operations
The student will demonstrate through the mathematical processes an understanding of the concepts of whole-number percentages, integers, and ratio and rate; the addition and subtraction of fractions; accurate, efficient, and generalizable methods of multiplying and dividing fractions and decimals; and the use of exponential notation to represent whole numbers.

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Lessons (6)

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 learn about factoring by using manipulatives and computer applets.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Discrete, Number and Operations

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

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

Uses modular (clock) arithmetic to find patterns in Pascal's Triangle.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Discrete, Geometry, Number and Operations

Related Topics: addition, arithmetic, division, divisors, integers, modular, pascal's triangle, pascals triangle, pattern, remainders, sum, triangle, whole numbers

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

Activities (11)

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

Color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that are multiples of the number rolled, thereby practicing multiplication tables, investigating number patterns, and investigating fractal patterns. Coloring Multiples in Pascal's Triangle 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: algebra, combinatorics, division, divisors, factors, fractals, integers, multiples, pascal's triangle, pascals triangle, pattern, triangle, whole numbers

Color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that have the same remainder when divided by the number rolled, thereby practicing division and remainders, investigating number patterns, and investigating fractal patterns. Coloring Remainders in Pascal's Triangle 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: algebra, combinatorics, division, divisors, factors, fractals, integers, modular, pascal's triangle, pascals triangle, pattern, remainders, triangle, whole numbers

Visualize factors through building rectangular areas on a grid. First enter all the factorizations of a number, then draw each factor set as an area on the grid. Factorize 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, arithmetic, commutative, divisors, factors, grouping, multiples, multiplication, rectangles, whole numbers

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

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

Mixtures allows exploration of percents through two piles of colored and uncolored chips. The user must decide how many chips to color to create the desired percentage of colored chips compared to the total pile. Mixtures is one of the Interactivate assessment explorers.

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

Primary Subjects: Number and Operations

Related Topics: assessment, counting, percentages, percents, proportion, sets

This activity allows the user to practice order of operations with addition/subtraction, multiplication/division, exponents, and parentheses. Order of Operations 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, associative, commutative, division, exponents, integers, multiplication, negative number, order of operations, subtraction

Students play a generalized version of connect four, gaining the chance to place a piece on the board by answering order of operations questions (addition/subtraction, multiplication/division, exponents, and parentheses). Parameters: time, difficulty level, types of questions. Order of Operations 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, associative, commutative, division, exponents, integers, multiplication, negative number, order of operations, subtraction