MAP 7th Grade Math

An engaging course covering essential math concepts for 7th grade MAP testing success.

Operations with Rational NumbersProportional RelationshipsExpressions, Equations, and Inequalities
Percents, Discounts, and InterestProbability and StatisticsGeometry: Area, Volume, and Surface Area
Budgeting and Financial PlanningCooking with Ratios and ProportionsSports Statistics
Time Management for Test SuccessElimination and EstimationChecking Your Work
Operations with Rati...Proportional Relatio...Expressions, Equatio...Percents, Discounts,...Probability and Stat...Geometry: Area, Volu...Budgeting and Financ...Cooking with Ratios ...Sports StatisticsTime Management for ...Elimination and Esti...Checking Your Work
Basic Concepts

Proportional Relationships

What Are Proportional Relationships?

A proportional relationship is when two quantities increase or decrease at the same rate. This means their ratio is always the same.

Identifying Proportions

  • You can use tables, graphs, or equations to see if a relationship is proportional.
  • The equation for a proportional relationship is \( y = kx \), where \( k \) is the constant of proportionality.

Real-World Use

Proportions are everywhere—like doubling a recipe or converting money from dollars to euros.

Key Steps

  1. Find the ratio between two quantities.
  2. Check if the ratio stays the same as the quantities change.

Solving Problems

Set up a proportion and solve for the unknown value by cross-multiplying.

Examples

  • Doubling a recipe, so every ingredient is multiplied by 2.

  • If 3 apples cost $6, finding the cost of 5 apples using a proportion.

In a Nutshell

Explore relationships where two quantities change at the same rate.

Key Terms

Proportion
An equation stating that two ratios are equal.
Constant of Proportionality
The value that relates two proportional quantities (k in y = kx).
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Expressions, Equations, and Inequalities