Aligned Resources

NCTM
Grades 3-5
Numbers and Operations
Compute fluently and make reasonable estimates

Lessons  •  Activities  •  Show All

Lessons (13)

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

Introduces students to making estimations.

Audiences: Grades 3-5

Primary Subjects: Number and Operations

Related Topics: addition, area, arithmetic, comparing, counting, division, estimation, length, multiplication, percentages, percents, scale, subtraction

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

Students learn how to convert from fractions to decimals.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Number and Operations

Related Topics: addition, converting, decimals, denominator, division, fractions, numerator, rational numbers, reducing fraction, subtraction

Students learn how to convert from fractions to percentages.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Number and Operations

Related Topics: converting, decimals, denominator, division, fractions, multiplication, numerator, percentages, percents, rational numbers, reducing fraction

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

Students and teacher play a game called "Fraction King" to understand the idea of taking fractional parts of whole numbers then use manipulatives and several computer applets to cement the idea.

Audiences: Grades 3-5

Primary Subjects: Number and Operations

Related Topics: arithmetic, comparing, denominator, fractions, multiplication, number line, numerator, ordering, rational numbers, subtraction

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

Introduces students to the concept of base ten and how to use other base number systems.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Discrete, Number and Operations

Related Topics: addition, algorithm, arithmetic, base, converting, counting, exponents, modular, multiplication, place value, 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

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

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

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

Visually explore counting and place value with different number bases, from base 2 to base 16, and up to the hundreds place using a clock like interface. The activity also allows you to look at the numbers on the clock in base 10 or in your other chosen base to explore the relationship between those values.

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

Primary Subjects: Discrete, Number and Operations

Related Topics: arithmetic, counting, exponents, modular

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