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Solving Equations and Systems · Term 2

Solving Multi-Step Linear Equations

Using the distributive property and combining like terms to solve equations with variables on both sides.

Key Questions

  1. Explain how to maintain balance while isolating a variable in a complex equation.
  2. Analyze what it means for an equation to have infinitely many solutions or no solution.
  3. Justify the importance of checking a solution by substituting it back into the original equation.

Ontario Curriculum Expectations

8.EE.C.7.A8.EE.C.7.B
Grade: Grade 8
Subject: Mathematics
Unit: Solving Equations and Systems
Period: Term 2

About This Topic

The Global Watershed topic focuses on how water moves across the landscape through drainage basins. Students learn to identify the boundaries of watersheds and how geographic features like the Canadian Shield or the Rocky Mountains dictate water flow. In the Ontario curriculum, this topic is deeply connected to local geography and the importance of protecting our Great Lakes and river systems.

Students also examine the human impact on watersheds, including how urban development and pollution in one area can affect communities downstream. This introduces the concept of stewardship and the interconnectedness of water systems. This topic comes alive when students can physically model the patterns of runoff and drainage using topographic maps or physical models.

Active Learning Ideas

Watch Out for These Misconceptions

Common MisconceptionStudents often think that water only flows south.

What to Teach Instead

Teachers should highlight the Hudson Bay watershed, where water flows north. Using a physical model or a topographic map allows students to see that elevation, not compass direction, determines flow.

Common MisconceptionMany believe that watersheds are only the rivers themselves.

What to Teach Instead

It is important to teach that a watershed is the entire area of land that drains into a body of water. A collaborative mapping activity where students shade in entire drainage areas helps correct this narrow view.

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Frequently Asked Questions

What is a watershed in the Ontario curriculum?
A watershed is an area of land where all the surface water and groundwater drains into the same place, such as a lake or ocean. It is a fundamental unit for managing environmental health in Ontario.
How do humans affect watersheds?
Humans affect watersheds through pollution, urban development (which increases runoff), and damming. These actions can change water quality and flow patterns, impacting ecosystems and human communities downstream.
How can active learning help students understand watersheds?
Active learning, like building physical models or using interactive mapping tools, helps students visualize how land shape controls water movement. By simulating runoff and pollution spread, students see the direct consequences of land use. This hands-on approach makes the concept of a 'drainage basin' much more intuitive than just looking at a static map.
Why are the Great Lakes considered a unique watershed?
The Great Lakes contain about 20% of the world's surface fresh water. They form a massive, interconnected system that supports millions of people and diverse ecosystems, making their management a high priority in Ontario.

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