7th Grade Math Units Of Study
| Units | Topics |
| 1. Collecting, Displaying & Analyzing Data |
Population and samples Statistical questions Mean, median, mode & range Line (dot) Plots 5 number summary Box & Whisker Plots MAD
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| 2. Probability |
Likelihood of an event Probability line sample spaces Tree diagram Simple events: experimental & theoretical probability Compound events: experimental & theoretical probability probability of dependent and independent events making predictions simulation
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| 3a. Proportional Relationships | Rates (unit rate/unit price) Identifying and writing proportions Solving proportions Similar figures using proportions Finding missing lengths using similar figures Scale drawings and models Perimeter & circumference of circles - Pi Day |
| 3b. Graphing Proportional Relationships |
Using the coordinate plane Interpreting graphs Slope and rates of change Direct variation, constant of proportionality Linear Functions
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| 4. Integers |
Integers (comparing, writing) Plotting/Locating Points on # line Ordering Integers Absolute Value Opposites Additive Inverse Adding Integers Subtracting Integers Multiplying integers Dividing Integers Word Problems/Real-World Application
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| 5. Operation with Rational Numbers |
Writing equivalent fractions and decimals Identifying Rational/Irrational Numbers Comparing and ordering rational #’s Adding Positive and Negative Fractions Subtracting Positive and Negative Fractions Multiplying/Dividing Positive and Negative Fractions Multiplying/Dividing Positive and Negative Mixed Numbers Adding Positive and Negative Decimal Subtracting Positive and Negative Decimals Multiplying/Dividing Positive and Negative Decimals Order of operations - all four operations Order of operations - Fractions and decimals together Word Problems/Real World Application
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| 6. Percents |
Fractions, decimals & percents Estimating w/ percents Using properties with rational #’s Percent of change Applications of percents (tax, tip, discount, commission) Simple interest
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| 7. Algebraic Reasoning & Expressions |
Properties Translating into algebraic expressions Algebraic expressions (Substituting) Simplifying algebraic expressions (combining like terms) Factoring Solving equations with integers (one step) Exponents Scientific Notation
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| 8. Multi-Step Equations & Inequalities |
Solving two step equations Solving equations with decimals & fractions Solving multi-step equations Inequalities Solving one and two-step inequalities Solving equations with variables on both sides Solving Literal Equations Solving equations with one, no or infinite solutions
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| 9. Measurement and Geometry |
Triangles Scale drawing Area, Surface area, and volume of 2D and 3D figure Slicing 3D figures Complementary, supplementary angles, vertical and adjacent angles Parallel lines cut by a transversal (not a standard) Translations
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