Constructing Linear Functions
Constructing a function to model a linear relationship between two quantities.
Key Questions
- Explain how to determine the slope and y-intercept from a given set of data points.
- Construct a linear function that accurately models a real-world situation.
- Analyze the limitations of using a linear function to model complex phenomena.
Common Core State Standards
About This Topic
The Presidency of Washington examines the critical period when the new government was first put into practice. As the first president, George Washington had to establish the 'precedents' that would guide all future leaders, from forming a cabinet to serving only two terms. Students learn about the challenges he faced, including the Whiskey Rebellion and the pressure to take sides in European wars.
This topic is vital for understanding how the abstract ideas of the Constitution were turned into a functioning administration. It highlights Washington's role as a unifying figure who prioritized the stability of the young republic. Students grasp this concept faster through structured discussion and peer explanation, as they analyze his Farewell Address and debate the wisdom of his warnings for the future.
Active Learning Ideas
Role Play: The First Cabinet Meeting
Assign students roles as Washington, Hamilton (Treasury), and Jefferson (State). They must debate a real issue of the time, such as the Whiskey Rebellion, while Washington tries to find a middle ground between his feuding advisors.
Inquiry Circle: Washington's Precedents
Groups are given a list of presidential actions (e.g., being called 'Mr. President,' giving a Farewell Address, stepping down after two terms). They must explain why each action was a 'precedent' and how it shaped the office of the presidency.
Think-Pair-Share: The Farewell Address Warnings
Students read excerpts from Washington's Farewell Address regarding political parties and 'entangling alliances.' They discuss in pairs whether his warnings were wise and if they are still relevant to the U.S. today.
Watch Out for These Misconceptions
Common MisconceptionWashington wanted to be a King.
What to Teach Instead
He was actually very careful to avoid king-like behavior, which is why he insisted on being called 'Mr. President' and stepped down voluntarily. Peer discussion on 'voluntary surrender of power' helps students see why this was so revolutionary.
Common MisconceptionThe Whiskey Rebellion was just a small fight about alcohol.
What to Teach Instead
It was a major test of whether the new federal government could actually enforce its laws. A role-play comparing the government's response to Shays' Rebellion versus the Whiskey Rebellion illustrates the new strength of the Constitution.
Suggested Methodologies
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Frequently Asked Questions
What is a 'precedent' and why was it important for Washington?
What was the Whiskey Rebellion?
What warnings did Washington give in his Farewell Address?
How can active learning help students understand Washington's presidency?
Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
unit plannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
rubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
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