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Third Grade Math Terms Module 1 Array: Set of numbers or objects that follow a specific pattern, a matrix Column: Sets in an array Commutative Property/Commutative: An example is to rotate a rectangular array 90 degrees to demonstrate that factors in a multiplication sentence can switch places Equal groups: With reference to multiplication and division; one factor is the number of objects in a group and the other is a multiplier that indicates the number of groups Equation: A statement that 2 expressions are equal. Example: 3 × 4 = 12 Distribute: With reference to the Distributive Property; Example: In 12 × 3 = (10 × 3) + (2 ×3) the 3 is multiplier for each part of the decomposition Divide/division: Partitioning a total into equal groups to show how many equal groups add up to a specific number. Example: 15 ÷ 5 = 3 Factors: Numbers that are multiplied to obtain a product Multiplication/multiply: An operation showing how many times a number is added to itself Example: 5 × 3 =15 Fact: Used to refer to multiplication facts: Example: 3 × 2 Number of groups: Factor in a multiplication problem that refers to the total equal groups Parentheses: ( ) used around a fact or numbers within an equation Quotient: The answer when one number is divided by another Rotate: Turn, used with reference to turning arrays 90 degrees Row/column: In reference to rectangular arrays Size of groups: Factor in a multiplication problem that refers to how many in a group Unknown: The “missing” factor or quantity in multiplication or division Add 1 unit, subtract 1 unit: Add or subtract a single unit of two, ten, etc. Number bond: Shows part-part-whole relationship Number sentence: Similar to an equation, but not necessarily having equal sides. Repeated addition: Adding equal groups together, Example: 2 + 2 + 2 + 2 Tape Diagram: A method for modeling problems Value: How much Module 2 About: With reference to rounding and estimation, an answer that is not precise Addend: The numbers that are added together in an addition equation Example: in 4 + 5, the numbers 4 and 5 are the addends Analog clock: A clock that is not digital Capacity: The amount of liquid that a particular container can hold Compose: Change 10 smaller units for 1 of the next larger unit on the place value chart Continuous: With reference to time as a continuous measurement Endpoint: Used with rounding on the number line; the numbers that mark the beginning and end of a given interval Gram: (g) Unit of measure for weight) Halfway: With reference to a number line, the midpoint between two numbers, Example: 5 is halfway between 0 and 10 Interval: Time passed or a segment on the number line Kilogram: (kg) unit of measure for mass Liquid volume: The space a liquid takes up Liter: (L) unit of measure for liquid volume Milliliter: (mL) unit of measure for liquid volume Plot: Locate and label a point on a number line Point: A specific location on the number line Reasonable: With reference to how plausible an answer is, e.g., “Is your answer reasonable?” Rename: Regroup units, e.g., when solving with the standard algorithm Round: Estimate a number to the nearest 10 or 100 using place value Second: A unit of time Standard algorithm (for addition and subtraction) ≈: Symbol used to show than an answer is approximate Centimeter: (cm) unit of measurement Divide: Example: 4 ÷ 2 = 2 Estimate: Approximation of the value of a quantity or number Measure: A quantity representing a weight or liquid volume, or the act of finding the size or amount of something Mental math: Calculations performed in one’s head, without paper and pencil Horizontal: With reference to how an equation is written, e.g., 3 + 4 =7 is written horizontally Meter: (m) unit of measurement Minute: A unit of time Multiply: Example: 2 × 2 = 4 Number line: May be vertical or horizontal, vertical number line shown below Simplifying strategy: Transitional strategies that move students toward mental math. Example: “make ten” to add 7 and 6, (7 + 3) + 3 = 13 Unbundle: Regroup units, e.g., in the standard algorithm Vertical: With reference to how an equation is written; equations solved using the standard algorithm are typically written vertically