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