Interactivate: Standard Expectation

36 items total

Organization: National Council of Teachers of Mathematics
Grade Band: Grades 3 - 5
Standard Goal: Number and Operations

develop and use strategies to estimate computations involving fractions and decimals in situations relevant to students' experience
develop and use strategies to estimate the results of whole-number computations and to judge the reasonableness of such results
develop fluency in adding, subtracting, multiplying, and dividing whole numbers
develop fluency with basic number combinations for multiplication and division and use these combinations to mentally compute related problems, such as 30 times 50
select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools
use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals
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develop and use strategies to estimate computations involving fractions and decimals in situations relevant to students' experience

Estimation	Lesson: Introduces students to making estimations.
Estimation (elementary)	Lesson: Students practice and improve upon their estimation skills.
Bounded Fraction Pointer	Activity: Graphically determine the value of two fractions you have chosen (which are represented as points on a number line). Graphically find a fraction whose value is between your two fractions (using an arrow on the number line as a guide), then determine its value. Bounded Fraction Pointer is one of the Interactivate assessment explorers.
Fraction Finder	Activity: Graphically determine the value of two given fractions represented as points on a number line. Graphically find a fraction whose value is between the two given fractions, then determine its value. Fraction Finder is one of the Interactivate assessment explorers.
Fraction Pointer	Activity: Graphically determine the value of two given fractions represented as points on a number line. Graphically find a fraction whose value is between the two given fractions (using an arrow on the number line as a guide), then determine its value. Fraction Pointer is one of the Interactivate assessment explorers.

develop and use strategies to estimate the results of whole-number computations and to judge the reasonableness of such results

Estimation (elementary)	Lesson: Students practice and improve upon their estimation skills.
Estimation	Lesson: Introduces students to making estimations.
Estimation (elementary)	Lesson: Students practice and improve upon their estimation skills.
Estimator Four	Activity: 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 limit. Estimator Four is one of the Interactivate assessment games.
Estimator Quiz	Activity: 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 limit. Estimator Quiz is one of the Interactivate assessment quizzes.

develop fluency in adding, subtracting, multiplying, and dividing whole numbers

Factors	Lesson: Students learn about factoring by using manipulatives and computer applets.
Estimation (elementary)	Lesson: Students practice and improve upon their estimation skills.
Factors	Lesson: Students learn about factoring by using manipulatives and computer applets.
Multiplying Decimals and Mixed Numbers	Lesson: Reinforces skills associated with multiplying decimals and mixed numbers.
Spy Game	Lesson: Students will learn about modular arithmetic in order to decipher encrypted messages.
Arithmetic Four	Activity: A game like Fraction Four but instead of fraction questions the player must answer arithmetic questions (addition, subtraction, multiplication, division) to earn a piece to place on the board. Parameters: time limit, difficulty level, types of questions. Arithmetic Four is one of the Interactivate assessment games.
Arithmetic Quiz	Activity: Similar to Arithmetic Four: 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.
Clock Arithmetic	Activity: Work with various types of clocks in order to learn about modular arithmetic operations. Parameters: Number of hours on the clock.
Elapsed Time	Activity: Practice finding elapsed time given a starting time and an ending time. Elapsed Time is one of the Interactivate assessment explorers.
Estimator Four	Activity: 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 limit. Estimator Four is one of the Interactivate assessment games.
Estimator Quiz	Activity: 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 limit. Estimator Quiz is one of the Interactivate assessment quizzes.
Factorize	Activity: 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.
Function Machine	Activity: Students investigate very simple functions by trying to guess the algebraic form from inputs and outputs. Function Machine is one of the Interactivate assessment explorers.

develop fluency with basic number combinations for multiplication and division and use these combinations to mentally compute related problems, such as 30 times 50

Estimation (elementary)	Lesson: Students practice and improve upon their estimation skills.
Factors	Lesson: Students learn about factoring by using manipulatives and computer applets.
Finding Factors	Lesson: Finding the factors of whole numbers.
Arithmetic Four	Activity: A game like Fraction Four but instead of fraction questions the player must answer arithmetic questions (addition, subtraction, multiplication, division) to earn a piece to place on the board. Parameters: time limit, difficulty level, types of questions. Arithmetic Four is one of the Interactivate assessment games.
Clock Arithmetic	Activity: Work with various types of clocks in order to learn about modular arithmetic operations. Parameters: Number of hours on the clock.
Estimator Four	Activity: 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 limit. Estimator Four is one of the Interactivate assessment games.
Factorize	Activity: 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.

select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools

Arithmetic Four	Activity: A game like Fraction Four but instead of fraction questions the player must answer arithmetic questions (addition, subtraction, multiplication, division) to earn a piece to place on the board. Parameters: time limit, difficulty level, types of questions. Arithmetic Four is one of the Interactivate assessment games.
Arithmetic Quiz	Activity: Similar to Arithmetic Four: 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.
Whole Number Cruncher	Activity: Give input to the Whole Number Cruncher and try to guess what it did from the output it generates. This activity only generates multiplication and addition functions to avoid outputting any negative numbers. Whole Number Cruncher is one of the Interactivate assessment explorers.

use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals

Ideas for Working with Fractions	Lesson: Students get practice working with conversion of fractions, decimals, percents through using several of the Interactivate activities.
Fraction Facts	Lesson: Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.
Fraction Quiz	Activity: 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 limit. Fraction Quiz is one of the Interactivate assessment quizzes.