Computations and Algebraic Relationships Flashcards
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Questions and Answers

What does 3.4(A) involve?

Solve with fluency one-step and two-step problems involving addition and subtraction within 1,000 using strategies based on place value, properties of operations, and the relationship between addition and subtraction.

What is addition?

What is subtraction?

What is the sum?

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What is an addend?

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What is a minuend?

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What is a subtrahend?

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What is the difference?

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What is place value?

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What is the properties of operations?

<p>a+(b+c)= (a+b)+c</p> Signup and view all the answers

What does 3.4(K) involve?

<p>Solve one-step and two-step problems involving multiplication and division within 100 using strategies based on objects and pictorial models.</p> Signup and view all the answers

What is multiplication?

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What is division?

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What is a factor?

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What is a product?

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What is a dividend?

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What is a divisor?

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What is a quotient?

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What is a remainder?

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What are arrays?

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What are area models?

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What are equal groups?

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What does 3.4(B) involve?

<p>Round to the nearest 10 or 100 or use compatible numbers to estimate solutions to addition and subtraction problems.</p> Signup and view all the answers

What is estimation?

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What is rounding?

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What is an input output table?

<p>A table which represents how the application of a rule on a value, input, results in a different value, output.</p> Signup and view all the answers

What is 36 rounded to the nearest 10?

<p>40</p> Signup and view all the answers

What is 619 rounded to the nearest 10?

<p>620</p> Signup and view all the answers

What is 619 rounded to the nearest 100?

<p>600</p> Signup and view all the answers

What is 95 rounded to the nearest 10?

<p>100</p> Signup and view all the answers

What is 255 rounded to the nearest 10?

<p>260</p> Signup and view all the answers

What is 450 rounded to the nearest 100?

<p>500</p> Signup and view all the answers

Study Notes

Computations and Algebraic Relationships

  • Fluently solve one-step and two-step addition and subtraction problems within 1,000 using strategies based on place value and properties of operations.
  • Addition combines two or more numbers to yield a total (sum).
  • Subtraction finds the difference between two numbers, identifying what remains after one number is removed from another.
  • The sum is the result of adding numbers together.
  • Addends are the numbers being added.
  • Minuend is the number from which another number (subtrahend) is subtracted.
  • Subtrahend is the number being subtracted from another number (minuend).
  • The difference is the result of subtraction.
  • Place value indicates the value of a digit based on its position in a number.
  • Properties of operations include concepts like commutative, associative, and distributive laws.
  • Multiplication and division calculations within 100 utilize strategies such as pictorial models and properties of operations for problem solving.
  • Factors are the numbers multiplied together to obtain a product.
  • The product is the result of multiplication.
  • Division is splitting a number into equal parts or groups.
  • Dividend is the number being divided, while the divisor is the number dividing it.
  • The quotient is the result of division, and remainder is what is left over after division, if applicable.
  • Arrays are organized sets of objects in rows and columns, useful for representing multiplication and division.
  • Area models visually represent the multiplication of numbers using rectangles.
  • Equal groups segment objects into groups of the same size, aiding in understanding multiplication and division.
  • Properties of operations allow simplification and re-ordering of expressions for ease of computation.
  • Recall of facts includes important multiplication and division tables necessary up to their respective limits.

Problem Types

  • Multiplication problems can have unknown products or factors, represented as ab=____ or b__=a.
  • Partitive division determines how many are in each group if the total number and number of groups are known.
  • Quotative division finds the number of groups when the number in each group is known.
  • Concrete objects like base-10 blocks or counters are used for hands-on learning in mathematics.
  • Pictorial models visualize mathematical concepts and relationships, essential for understanding operations.

Estimation and Rounding

  • Rounding helps approximate solutions by adjusting numbers to the nearest 10 or 100.
  • Estimation involves reasoning to derive an approximate value based on rounding.
  • Proportional scaled number lines use predetermined intervals for measuring and visualizing numbers.
  • An open number line allows for flexible number representation and calculations.

Additional Concepts

  • Number pairs are data sets of whole numbers that may or may not be sequential or start with 1.
  • Input-output tables represent mathematical rules applied to values resulting in different outputs.
  • Multiplication facts and division facts within specified limits are crucial for quick computations.
  • Multiplication facts can be represented through repeated addition or by illustrating groups/arrays.

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Description

This set of flashcards focuses on computations and algebraic relationships, specifically regarding one-step and two-step problems involving addition and subtraction. Students will explore key terms and concepts, enhancing their understanding of the operations and relationships within math. Ideal for students aiming to improve their fluency in mathematics.

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