Rational and Radical Relationships · Weeks 1-9

Solving Rational Equations

Students will solve rational equations by finding common denominators and identifying extraneous solutions.

About This Topic

Manifest Destiny was the 19th-century belief that the United States was divinely ordained to expand across the North American continent. This topic explores the ideological drivers of westward expansion, the experience of pioneers on the trails, and the resulting conflicts, most notably the Mexican-American War. Students analyze how this expansion intensified the national debate over the spread of slavery into new territories.

For 11th graders, this topic is essential for understanding the roots of American imperialism and the direct path to the Civil War. It also requires a careful examination of the impact on Mexican citizens and Native American tribes who were displaced. Students grasp these complex geopolitical shifts faster through collaborative mapping and role-playing the perspectives of those living in the 'contested' borderlands.

Active Learning Ideas

Inquiry Circle: Mapping the Expansion

Small groups are assigned a specific acquisition (e.g., Oregon Territory, Texas Annexation, Mexican Cession). They must map the territory and identify the primary motivations for the U.S. to acquire it, as well as the groups who were displaced.

⏱ 50 min·Small Groups

Generate mission

Role Play: The Treaty of Guadalupe Hidalgo

Students represent U.S. diplomats, Mexican officials, and residents of the newly acquired territories. They debate the terms of the treaty and the future status of the people living in the Southwest.

⏱ 60 min·Whole Class

Generate mission

Think-Pair-Share: The Wilmot Proviso

Students read about the failed proposal to ban slavery in land won from Mexico. They work in pairs to discuss why this single document caused such a firestorm in Congress, linking expansion to the sectional crisis.

⏱ 25 min·Pairs

Generate mission

Watch Out for These Misconceptions

Common Misconception

Manifest Destiny was a universally accepted idea in the U.S.

What to Teach Instead

Many Americans, including prominent figures like Abraham Lincoln and Henry David Thoreau, opposed the Mexican-American War and the aggressive expansion it represented. Peer-led analysis of anti-war speeches helps students see the internal dissent.

Common Misconception

The West was an empty wilderness waiting to be settled.

What to Teach Instead

The West was home to diverse indigenous nations and established Mexican communities. A station rotation featuring the history of the Comanche Empire or the Californios helps students recognize the West as a populated and contested space.

Frequently Asked Questions

What were the main causes of the Mexican-American War?

The war was primarily caused by a border dispute in Texas and the U.S. desire to acquire California and New Mexico. President Polk's move to send troops into the disputed territory between the Nueces and Rio Grande rivers triggered the first skirmish.

What was the significance of the Gadsden Purchase?

It was a small strip of land in present-day Arizona and New Mexico purchased from Mexico in 1853. It was intended to provide a flat route for a southern transcontinental railroad, completing the contiguous United States.

How did westward expansion lead to the Civil War?

Every time the U.S. acquired new land, it reignited the debate over whether that land should be 'free' or 'slave.' This constant political battle over the 'extension' of slavery eventually broke the national party system and led to secession.

How can active learning help students understand Manifest Destiny?

Active learning strategies like 'Borderland Role Plays' help students see that expansion was not a simple 'march to the sea.' By taking on the roles of those who lost land or rights during this period, students gain a more nuanced understanding of the costs of Manifest Destiny. This hands-on approach moves the lesson beyond a map of acquisitions to a study of human impact and political consequences.

Browse curriculum by country

• Americas
• US
• CA
• MX
• CL
• CO
• BR

• Europe
• UK
• IE
• FR
• DE
• ES
• IT
• NL
• PT
• SE

• Asia & Pacific
• IN
• SG
• AU