Grade 7 Math
Grade 7 math deepens algebra with multi-step equations and inequalities, introduces proportional relationships and slope, and builds probability and geometric reasoning skills.
What You'll Learn
- Solve multi-step equations and inequalities
- Understand and graph proportional relationships
- Calculate slope and interpret rate of change
- Compute with rational numbers (fractions, decimals, negatives)
- Apply percent reasoning to real-world problems
- Understand basic probability
- Analyze angle relationships and triangle properties
- Work with scale drawings and similarity
Concepts by Topic
Algebra
Write and solve two-step equations from word problems
Solve equations of the form px + q = r
Solve equations requiring multiple steps
Write and solve one-step inequalities
Graph solution sets on a number line
Understand slope as rate of change between two points
Recognize proportional relationships as linear functions
Solve complex proportion and scaling problems
Calculate simple interest using I = Prt
Translate word problems into algebraic equations
Arithmetic
Apply exponent rules with integer bases
Use product, quotient, and power rules for exponents
Understand rational numbers as fractions including negatives
Add, subtract, multiply, and divide rational numbers
Apply percent reasoning to tips, tax, discounts, and markups
Write very large and very small numbers in scientific notation
Perform operations with numbers in scientific notation
Geometry
Understand similar figures and proportional relationships
Identify congruent figures through transformations
Use supplementary, complementary, and vertical angle relationships
Identify angle pairs formed by parallel lines and a transversal
Use the triangle angle sum property (180ยฐ)
Create and interpret scale drawings
Calculate surface area of prisms
Probability
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