Part IV - Proportional & Algebraic Reasoning
College Mathematics | Math for Teachers | Part IV
Module 15: Ratios & Proportional Reasoning
Defining Ratios
Solving Ratios
Rates & Unit Rates
Proportional vs. Nonproportional Relationships
Tables, Graphs, & Double Number Lines for Ratios
Module 16: Percent Reasoning
Reasoning About Percent
Percent Increase & Decrease
Connecting Fractions, Decimals, Ratios, & Percents
Benchmark Percents & Estimation
Module 17: Numerical & Algebraic Expressions
Numerical Expressions
Algebraic Expressions
Variables as Unknowns, Changing Quantities, & Generalized Numbers
Properties of Operations as Foundations for Algebra
Module 18: Equality & Equations
Algebraic Equality
Algebraic Equations
Meaning of the Equal Sign
True, False, & Open Number Sentences
Relational Thinking
Balance Models for Equations