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## 7th Grade Math Course

PROGRESSIVE MATHEMATICS INITIATIVE® (PMI®)

## Units (select a unit)

• ###### Numbers and Operations 7th Grade
Natural & Whole #s
Addition, Subtraction & Integers
Addition & Subtraction of Integers
Multiplication & Division of Integers
Operations w/ Rational #s (all 4)
Converting Rational #s to Decimals
Exponents
Real Numbers
• ###### Expressions 7th Grade
Mathematical Expressions
Order of Operations
The Distributive Property
Like Terms
Translating Words into Expressions
Evaluating Expressions
• ###### Equations & Inequalities 7th Grade
One Step Equations
Two Step Equations
Multi-Step Equations
Distributing Fractions in Eq
Writing & Solving Algebraic Eq
Graphing & Writing Inequalities
Simple Ineq: Addition & Subtraction
Simple Ineq: Multiplication & Division
• ###### Ratios & Proportions
Writing Ratios
Equivalent Ratios
Rates
Proportions
Direct & Indirect Relationships
Constant of Proportionality
Writing Equations for Proportions
Understanding Graphs of Proportions
Problem Solving
Scale Drawings & Similar Figures
• ###### Percents
Relating Fractions, Decimals & %s
Three Types of Percent Problems
Percent of Change
Representing % Eq Algebraically
Applied Percent of Decrease
Applied Percent of Increase
Real-life Application Problems
• ###### Drawing Geometric Figures
Determining if a Triangle is Possible (i.e. Triangle Inequality)
Geometric Constructions: The Basics
• ###### 2D Geometry
Special Pairs of Angles
Perimeter & Circumference
Area of Rectangles
Area of Parallelograms
Area of Triangles
Area of Trapezoids
Area of Circles
Mixed Review
Area of Irregular Figures
Area of Shaded Regions
• ###### 3D Geometry
3D Solids
Cross Sections of 3D Figures
Volume: Prisms & Cylinders
Volume: Pyramids, Cones & Spheres
Surface Area – Prisms
Surface Area – Pyramids
Surface Area – Cylinders
Surface Area – Spheres
More Practice/Review
• ###### Statistics & Probability
Introduction to Probability
Experimental and Theoretical
Sampling
Word Problems
Probability of Compound Events
Measures of Center
Measures of Variation
Mean Absolute Deviation

## 2 Comments

Deb Yoast • 2 years, 7 months agologin to reply
`When are square roots first mentioned in K-12 mathematics? In the 7th grade math, there a couple of questions in the &amp;amp;quot;2-D Geometry&amp;amp;quot; that ask kids to find the radius amount given the Area of a circle, which of course, requires finding the square root. I first find them in 8th grade math, but did I miss it somewhere earlier? Thanks!`
Audra Crist • 2 years, 7 months agologin to reply
```Dear Deb Yoast,

Thank you for your comment.  Yes, solving equations using square roots as the inverse operation of squares is an 8th grade standard, so the questions found in 7th grade math, 2-D Geometry CW-HW file & Unit Test have been revised to include the circumference of a circle to find the radius or diameter of the circle.  Please download an updated copy of each file at your earliest convenience.  Thanks, again, for bringing this to our attention.

Kind regards,
Audra```