Nova Scotia
13. Solve problems by applying proportional reasoning and unit analysis
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Direct variation
What You'll Learn
Identify direct variation relationships using the formula y = kx
Calculate the constant of variation k from given values or tables
Determine whether tables and equations represent direct variation
Solve for unknown variables in direct variation problems
Apply direct variation to real-world scenarios involving proportional relationships
What You'll Practice
1
Checking tables of values for consistent constant variation
2
Identifying direct variation equations among linear and inverse variations
3
Finding missing values in tables using the direct variation formula
4
Solving word problems involving volume, height, and other proportional quantities
Why This Matters
Direct variation is fundamental for understanding proportional relationships in science, economics, and engineering. You'll use it to model real-world scenarios like speed and distance, cost and quantity, and physical laws, making it essential for algebra, physics, and data analysis.
This Unit Includes
5 Video lessons
Practice exercises
Skills
Direct Variation
Constant of Variation
Proportional Relationships
Linear Equations
Ratio
Algebraic Modeling
Word Problems
NS Curriculum Aligned