Ratios, Proportions, and Linear Relationships

Site: Young Education
Cours: Introduction to Algebra
Livre: Ratios, Proportions, and Linear Relationships
Imprimé par: ゲストユーザ
Date: vendredi 25 septembre 2026, 01:01

1. Review of Ratios and Rates

Learning outcomes
  • I can write ratios in different forms.
  • I can compare quantities using ratios.
  • I can calculate unit rates.
  • I can interpret ratios and rates in context.
  • I can solve problems involving ratios and rates.

2. Solving Proportions

Learning outcomes
  • I can identify proportional relationships.
  • I can solve missing-value problems using proportions.
  • I can use equivalent ratios to solve problems.
  • I can apply cross multiplication correctly.
  • I can verify solutions to proportional relationships.

3. Direct Variation

Learning outcomes
  • I can explain the concept of direct variation.
  • I can identify proportional relationships in tables and graphs.
  • I can determine the constant of variation.
  • I can write equations representing direct variation.
  • I can apply direct variation to real-world situations.

4. Introduction to Linear Relationships

Learning outcomes
  • I can identify patterns in input-output tables.
  • I can determine algebraic rules from numerical data.
  • I can recognize constant rates of change.
  • I can represent linear relationships using equations.
  • I can predict values using linear rules.

5. Modeling Relationships

Learning outcomes
  • I can create algebraic rules to describe relationships.
  • I can use equations to model real-world situations.
  • I can predict outcomes using mathematical models.
  • I can interpret relationships between variables.
  • I can evaluate whether a model fits a given situation.