The document provides a list of tier 2 math vocabulary words that 7th grade students should know for their Unit 3 on properties of operations and integers. It defines 22 words including additive identity, reciprocal, additive inverse, and perimeter. For each word, it provides a simple definition and example to help explain the meaning in a math context.

1. Tier 2 Words for Unit 3 in 7th Grade Math
Tier two words are generally words highly used in
conversation, but that require explicit explanation with
students to overcome hurdles when solving math problems.
Here is the list of tier two words that students should
know for Unit 3 (Properties of Operations and Integers):
Visually Additive Identify
Matches Reciprocal
Representation Additive Inverse
Calculation Multiplicative Inverse
Average Property
Minimum Substitute
Allowable Explain
Determine Expression
Equivalent Twice
Specific Perimeter
Justify “Percent off”
Border Diagram
Demonstrate Relates
Originally Bill (Price of purchase)

2. Visually – The ability to see Matches – To double Representation- To show a
the accuracy of a math Example: math problem by doing a
problem by looking at it. drawing or graph
Example: If I match the $20 dollars
2+2=4 my mom gave me, I will
Not visual- have $40
-2 x -2 = 4
Calculation- To work out a Average- A number that Minimum- The lowest
problem. For example, if represents the usual or amount or the lowest
we give a calculation for typical amount of times number
30% of 10, the calculation something happens or
would be doing exists.
multiplication with the two
numbers to get the answer
Allowable- The ability or Determine- To make a Equivalent- When two or
given permission to do decision about something more things or numbers
something have the same value
Specific- Something that Justify- To demonstrate Border- The perimeter of
fits a very direct and or prove by using facts. an object. The distance
detailed description. Doing around a shape or object.
something with a direct
purpose. Filtering out all
things to get to the most
single, direct purpose or
trait
Demonstrate- To present Originally- An amount or Additive Identity- An
information using quantity that exist before amount that is added to a
examples, pictures, making any changes number that does not
equations or words change the amount of the
number.
Ex: 1 + 0 = 1
0 is called the Additive
Identity

3. Reciprocal- A number Additive Inverse- A Multiplicative Inverse- A
related to another number positive number that is positive number that is
in such a way when added as an opposite of its multiplied as a negative
multiplied, the answer is 1. positive value. number.
Ex: ½ x = 1 Ex. 2 + (-3) = -1. Ex: 5 x (-1) = -5
+(-3) is the additive X (-1) is the multiplicative
inverse. inverse
Property- A characteristic Substitute- To replace a Explain- To help someone
or trait of a specific value with a letter or shape understand something
object, number, or equation using details and words
Expression- Letters or Twice- To double Perimeter- The distance
numbers that represent something or to add it around an object or shape.
the value of an amount twice or multiply times 2 The length of the sides
added together
“Percent off”- A portion of Diagram- A graph or Relates- How two or more
the original cost of picture things connect or affect
something that is taken off each other
a price
Bill- The amount of a
purchase