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Contrasting Evidence: “Water Is Life” and The Big Thirst
Sometimes differing arguments support the same claim. Scholars complete a graphic organizer comparing how two authors support the claim that people need to better manage the world's water supply. Pupils also complete a graphic organizer...
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Introducing Module 4B: “Water Is Life”
Learners take a gallery walk around the classroom to view various images and quotes. As they walk, they write down what they notice and wonder about what they see. After discussing their notice and wonder notes, they read the...
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Final Performance Task: Sharing Visual Representations of Position Papers
Take note! Scholars use sticky notes to record information as they gallery walk to look at classmates' visual representations they created for their end of unit assessment. Learners then choose one word that represents the work they...
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Finishing the End of Unit Assessment: Final Draft of Position Paper and Reflection on the Writing Process
Think about it. Writers think about their end of unit essays through reflection. They use the End of Unit 3 Assessment, Part 2: Reflection on the Writing Process handout to analyze the writing process they used to create their position...
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End of Unit Assessment, Part 1: Revising Claims and Evidence Based on Feedback
Revisit, revise. Scholars receive their position papers returned with feedback from the teacher. They use colored pens to identify feedback related to the first two rows of the rubric and correct their papers based on the comments....
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Scaffolding for Position Paper: Peer Feedback and Citing Sources
Scholars partner up for peer feedback of their position papers. After reviewing peer feedback guidelines, pairs take turns presenting their papers and completing a Peer Feedback Form. The class then has a mini instructional activity on...
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Scaffolding for Essay: Planning Body Paragraphs for Position Paper
Let's make a plan. Scholars work on the plan for their papers using a Position Paper Planner. They talk with a partner about counterclaims and think about counterclaims to include in their papers. As learners begin to write, they work...
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Mid-Unit Assessment, Part II: Research Task: Comparing and Contrasting Texts
When it comes to comparing texts, it's apples to oranges. As part two of the mid-unit assessment, learners compare and contrast two texts about the Internet and brain health. While reading, scholars use a Venn diagram to compare two...
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Using Effective Search Terms: Researching Screen Time
The proof is in the reading. Scholars read an article, "Attached to Technology and Paying the Price," and answer text-dependent questions. Next, they complete a Venn diagram to contrast two authors' use of evidence on the topic of screen...
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End-of-Module 3 Assessment Task
Let's see what the class learned! The last installment of the 23-part Pre-calculus module consists of nine assessment questions designed to measure a specific portion of a standard in the unit. Learners demonstrate their understanding of...
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Solving Problems by Function Composition
Stay composed while solving problems. Learners put their knowledge of compositions to solve problems. To connect with the concept, scholars compose equations to answer questions from real-world situations. Finally, pupils practice using...
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Horizontal and Vertical Asymptotes of Graphs of Rational Functions
Get close to your favorite line. Scholars use end behavior to help find horizontal asymptotes. With the understanding of domains of rational functions, learners find vertical asymptotes and then use graphing calculators to verify the...
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The Structure of Rational Expressions
Find out when rational expressions are closed. Pupils review adding, subtracting, multiplying, and dividing with rational numbers to make the connections to operations with rational expressions. Using specific examples, learners notice...
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Roots of Unity
Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....
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Logarithmic and Exponential Problem Solving
Just how old is it? The 22nd portion to a 23-part Precalculus unit uses radiocarbon dating and other exponential modeled real-world problems. Learners use the inverse relationship between logarithms and exponentials to solve the problem...
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Restricting the Domain
But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using...
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Inverse Functions
Undo the functions. Learners refresh their knowledge of inverses of functions from Algebra II in the 19th section of a 23-part Precalculus unit. Pupils look at inverses in tables and graphs. They then add to their understanding of...
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Function Composition
Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition...
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Graphing Rational Functions
Put everything together in a picture. Scholars take what they learned in the previous three lessons in the 15th segment of a 23-part unit to graph rational functions. They find the end behavior, the horizontal and vertical asymptotes if...
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End Behavior of Rational Functions
Connect end behavior to previous learning. Pupils connect finding the end behavior of rational functions to finding end behavior of polynomial functions. The 13th segment in a 23-part unit starts with finding the end behavior or power...
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Rational Functions
Make a connection between rational expressions and rational functions. Pupils review simplifying and performing operations on rational expressions and recall what it means for two rational expressions to be equivalent based on their...
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Volume and Cavalieri’s Principle
Take a slice out of life. The ninth section in a series of 23 introduces classmates to Cavalieri's principle using cross sections of a cone and stacks of coins. Class members participate in a discussion using pyramids and how Cavalieri's...
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Curves from Geometry
Escape to investigate hyperbolas. Pupils take a look at what happens to the elliptical orbital path of a satellite that exceeds escape velocity as the opener to the eighth lesson in a unit of 23. Scholars analyze basic hyperbolas and how...
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Transforming Rational Functions
Move all rational functions—well, maybe. Learners investigate the graphs of the reciprocals of power functions to determine a pattern between the graph and the power. Pupils graph rational functions where transformations are clearly...