Aligned Resources

Virginia Standards of Learning
5th Grade
Computation and Estimation
5.5 The student, given a dividend of four digits or fewer and a divisor of two digits or fewer, will find the quotient and remainder.

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Lessons (4)

Finding Remainders in Pascal's Triangle

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

Fraction Facts

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

Modular Arithmetic

Introduces students to modular (clock) arithmetic and its uses in real world problem-solving.

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

Primary Subjects: Discrete, Number and Operations

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

Pascal's Triangle

Looks at how Pascal's Triangle can be used to generate Sierpinski triangle-like results.

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

Primary Subjects: Discrete, Geometry, Number and Operations

Related Topics: area, arithmetic, combinatorics, distance, division, factors, fractals, fractions, generator, geometric sequences, geometry, infinity, initiator, integers, iteration, length, limit, lines, multiples, multiplication, pascals triangle, pattern, percents, perimeter, quotient, recursion, remainders, scale, segment, self-similarity, sequences, sets, whole numbers

Activities (1)

Screenshot of Coloring Remainders in Pascal's Triangle
Coloring Remainders in Pascal's Triangle

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