September · Week 1 · Day 4 · School day 4

Day 4: The Hand-Grip and the Social Contract

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🏛️ Play with your child: Why Government?

The day, step by step

1. 10–15 min Morning meeting and current events SL.11-12.1

   1. Question of the day: Would you give up some freedom in exchange for more safety? How much? Students place themselves on a line from all freedom to all safety and explain their spot in one sentence.
   2. Current events: one story about a rule that balances safety and freedom (for example, a new helmet or phone-use law). Students state both sides fairly.
   3. Today's thinkers asked the same question 300 years ago.

2. 15–20 min Vocabulary and word study L.11-12.5a

   1. Old English poetry did not rhyme. Each line has two halves separated by a pause called a caesura, and the halves are tied together by alliteration (repeated first sounds).
   2. Read three translated lines aloud and clap the stressed beats. Mark the caesura with a double slash.
   3. Students write two original lines in the style, such as: Bright on the bench // the battle-friend waited.
   4. Spelling check on the week's list: alliteration, caesura, kenning, epithet, wergild.

3. 30–40 min Literature and texts RL.11-12.4, RL.11-12.5

   Beowulf (Francis B. Gummere's public-domain translation or any modern translation)

   1. Read about lines 702 to 836: Grendel enters Heorot at night, kills a sleeping warrior, then meets Beowulf's grip; Grendel flees with his arm torn off.
   2. Pacing: the poet slows the approach with detail and speeds the fight. Students find one slow passage and one fast one and compare sentence length.
   3. Why fight without a sword? Beowulf says it would be unfair to use weapons against a foe who uses none. What does that choice say about how he wants to be remembered?
   4. Journal entry: the trophy of Grendel's arm hung in the hall. What does a trophy do for a community?

4. 40–50 min Precalculus HSF-IF.B.6

   1. Average rate of change from x = a to x = b is [f(b) - f(a)] / (b - a), the slope of the line between two points.
   2. For f(x) = x² from x = 1 to x = 4: (16 - 1) / (4 - 1) = 15 / 3 = 5. From x = 0 to x = 1: 1. The rate grows because the graph curves upward.
   3. Savings: a balance grows from $1,200 in January to $1,650 in June. That is 5 months, so (1,650 - 1,200) / 5 = $90 per month.
   4. Depreciation: a car worth $24,000 is worth $15,000 three years later. Rate = (15,000 - 24,000) / 3 = -$3,000 per year. A negative rate means losing value.
   5. Exit ticket: f(x) = x³ from x = 0 to x = 2. (8 / 2 = 4)

   Math center: find the average rate of change of a phone plan's monthly bill from a 6-month table.

5. 30–40 min Government and economics C3 D2.Civ.3.9-12

   1. Thomas Hobbes, Leviathan (1651): without government, life would be a war of all against all. People give up freedom to a strong sovereign in exchange for order and safety.
   2. John Locke, Two Treatises of Government (1689): people have natural rights to life, liberty and property. Government exists by consent to protect those rights, and people may replace a government that abuses them.
   3. Jean-Jacques Rousseau, The Social Contract (1762): legitimate rule comes from the general will of the people acting together.
   4. Fill a three-column chart: view of human nature, purpose of government, and what happens if government fails. Then decide which thinker's ideas appear most in the morning's freedom and safety line, without ranking them as right or wrong.

6. 25–35 min Writing W.11-12.1

   1. Draft an analysis paragraph: how Beowulf's boast reveals the heroic code. Use two cited lines.
   2. Checklist before you finish: an arguable claim, evidence embedded with a lead-in, line citations in parentheses, and commentary longer than the evidence.
   3. Highlight claim in one color and commentary in another to check the balance.

7. 25–35 min Independent practice and projects

   1. Weigh the mulch cups and record the second row of data.
   2. Compute the average rate of change of g(x) = 2x + 7 from x = 1 to x = 10 (2) and explain why it is constant.
   3. Finish the Hobbes, Locke and Rousseau chart.
   4. Write two original alliterative lines with a caesura.

   Projects: set up the senior portfolio (reading journal, vocabulary notebook, math warm-up log and writing folder) and start the mulch experiment log.

   Device time (15 min): play Why Government? on the Student games page.

   Today’s game: Why Government?

8. 5–10 min Closing reflection SL.11-12.1

   1. Which thinker would most agree with your spot on the freedom and safety line?
   2. What does a negative average rate of change tell you?
   3. Why does Beowulf fight Grendel without a sword?

Short day? Keep the fight reading, the rate of change examples and the social contract chart; draft the paragraph at home.