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7th Grade Module 3

Terminology
New or Recently Introduced Terms
 An Expression in Expanded Form (description) (An expression that is written as sums (and/or
differences) of products whose factors are numbers, variables, or variables raised to whole number
powers is said to be in expanded form. A single number, variable, or a single product of numbers and/or variables is also considered to be in expanded form.)
 An Expression in Standard Form (description) (An expression that is in expanded form where all liketerms have been collected is said to be in standard form.)
 An Expression in Factored Form (middle school description) (An expression that is a product of two or more expressions is said to be in factored form.)
 Coefficient of the Term (The number found by multiplying just the numbers in a term together is called the coefficient of the term.)
 Circle (Given a point ݐ֠in the plane and a number ݑߠ> 0, the circle with center ݐ֠and radius ݑߠis the
set of all points in the plane that are distance ݑߠfrom the point ݐ֮)
 Diameter of a Circle (The diameter of a circle is the length of any segment that passes through the center of a circle whose endpoints lie on the circle. If ݑߠis the radius of a circle, then the diameter is 2ݑ߮)
 Circumference (The length around a circle.)

Pi (The number pi, denoted ݜˬ is the value of the ratio given by the circumference to the diameter, that is, ݜˠ= (circumference)/(diameter).)
 Circular Region or Disk (Given a point ݐ֠in the plane and a number ݑߠ> 0, the circular region (or disk) with center ݐ֠and radius ݑߠis the set of all points in the plane whose distance from the point ݐ֠is
less than or equal to ݑ߮ The interior of a circle with center ݐ֠and radius ݑߠis the set of all points in the plane whose distance from the point ݐ֠is less than ݑ߮)

 

Familiar Terms and Symbols
 Variable (middle school description)
 Numerical Expression (middle school description)
 Value of a Numerical Expression
 Expression (middle school description)
 Linear Expression
 Equivalent Expressions
 Equation
 Number Sentence
 True or False Number Sentence
 Truth Values of a Number Sentence
 Identity
 Term
 Distribute
 Factor
 Properties of Operations (distributive, commutative, associative)
 Inequality
 Figure
 Segment  Length of a Segment
 Measure of an Angle
 Adjacent Angles
 Vertical Angles
 Triangle
 Square
 Right Rectangular Prism
 Cube
 Surface of a Prism

 

Suggested Tools and Representations

 Expressions
 Area Model
 Tape Diagram
 Equations and Inequalities
 Number Line
 Coordinate Plane
 Geometric Figures
 Protractor
 Nets for Three-Dimensional Figures

 

Lesson 1

manila envelopes

 

Lesson 10 

Protractor

 

Lesson 16

metric rulers (each student)

compass (each student)

 

Lesson 22

copies of composite figures

 

Lesson 24

small amount of water

absorbent towel

calculators

 

Lesson 25

rectangle cake pan

square cube like container of same volume

water or rice

gallon milk jugs