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Rational Numbers and the Coordinate Plane · Weeks 19-27

Area of Triangles

Students will find the area of triangles by decomposing them into simpler shapes or using formulas.

Key Questions

  1. Explain how the area of a triangle is related to the area of a rectangle or parallelogram.
  2. Construct a method to find the area of any triangle given its base and height.
  3. Analyze how changing one dimension of a triangle affects its total area.

Common Core State Standards

CCSS.Math.Content.6.G.A.1
Grade: 6th Grade
Subject: Mathematics
Unit: Rational Numbers and the Coordinate Plane
Period: Weeks 19-27

About This Topic

The Middle and New Kingdoms of Egypt were eras of great change, expansion, and famous personalities. This topic covers the shift from the isolation of the Old Kingdom to the imperial power of the New Kingdom. Students study the 'warrior pharaohs' like Ramses II, the religious revolution of Akhenaten, and the groundbreaking reign of Hatshepsut, one of the few women to rule as Pharaoh.

This unit connects to history standards by examining how trade and conquest led to cultural exchange with neighboring regions like Kush and the Hittite Empire. Students analyze how these rulers used art and architecture as propaganda to solidify their power. Students grasp this concept faster through structured discussion and peer explanation as they compare the different leadership styles and achievements of these iconic figures.

Active Learning Ideas

Watch Out for These Misconceptions

Common MisconceptionEgypt was always a peaceful, isolated kingdom.

What to Teach Instead

During the New Kingdom, Egypt became a military superpower that conquered lands as far as modern-day Syria. Mapping the empire's expansion helps students see Egypt as an active player in world politics.

Common MisconceptionAkhenaten's move to monotheism was popular.

What to Teach Instead

His shift to worshipping only the sun disk (Aten) was very unpopular with the priests and the common people, and it was quickly reversed after his death. A role-play of a 'priest's reaction' can help students understand this conflict.

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Frequently Asked Questions

How did Hatshepsut become Pharaoh?
Hatshepsut originally served as regent for her young stepson, but she eventually declared herself Pharaoh. She justified her rule by claiming she was the daughter of the god Amun and by focusing on expanding trade rather than just war.
Why is Ramses II called 'the Great'?
Ramses II ruled for 66 years, signed the world's first known peace treaty (with the Hittites), and built more monuments and temples than any other Pharaoh, including the massive rock-cut temple at Abu Simbel.
What happened during the Middle Kingdom?
The Middle Kingdom was a 'Golden Age' of literature and art. It was a time when Egypt expanded its borders into Kush and built massive irrigation projects to increase farmland, though it ended with the invasion of the Hyksos.
How can active learning help students understand the New Kingdom?
Active learning, like a 'Greatest Pharaoh' debate, forces students to evaluate historical evidence and consider different perspectives on leadership. By arguing for a specific ruler, they have to understand the political and social challenges of the time, making the history feel more like a series of real human decisions.

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