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S T U D E N T G U I D E

The Volume of a Home

How can Jorge and Alejandra figure out whose house has the greater volume?

View this lesson at ThinkCERCA

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Table of Contents

Skills Focus

  • Build Your Vocabulary: Map a Word
  • Cornell Notes: Modeling with Mathematics

Overview and Connect

  • Find Your Purpose for Learning
  • Share Your Personal Connection

Read and Check

  • Share Your Reflections
  • Test Prep Strategy: Error Analysis (Optional)

Analyze / Engage with the Text

  • Highlight and Annotate

Summarize

  • Write a Summary

Develop / Build

  • Share Your Argument Builder

Draft and Review / Create

  • Peer Editing Activity
  • Reflect on Your Writing

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Optional Extensions

  • Activity: Shapes All Around!

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S K I L L S F O C U S

Build Your Vocabulary: �Map a Word — Volume �

Synonym (similar or like word)

Antonym (opposite word)

Picture of Vocabulary Word

Vocabulary Word and Definition

Part of Speech

Root Word or Origin

Sentence Using Vocabulary Word

Instructions: Analyzing key vocabulary words will help you better understand the texts you are reading. Word mapping can also help the words "stick" in your memory. Complete the map below with the vocabulary word provided in the title. Use a dictionary if necessary. Fill as many boxes as you can.

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S K I L L S F O C U S

Cornell Notes: Modeling with Mathematics

What is a model?

A model is…

How do we use models in math?

We use models in math...

How does an architect use modeling to create diagrams and drafts?

An architect uses modeling.…

Instructions: Take notes on the Direct Instruction lesson using the organizer below. Then summarize and reflect on the next page.

Complete the Direct Instruction lesson online at learn.thinkcerca.com

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D I R E C T I N S T R U C T I O N G U I D E

Cornell Notes: Modeling with Mathematics (continued)

Summarize and Reflect

In your own words and in complete sentences, write a 3–4 sentence summary of this skills lesson. An accurate summary will cover the lesson's central ideas and include important details to support those ideas.

Record your summary here:

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O V E R V I E W A N D C O N N E C T

Find Your Purpose for Learning

Instructions: When you have finished reading the Overview for this lesson, answer the following questions in the space below:

What more would you like to learn about modeling with mathematics? What more would you like to learn about how to find the volume of both spheres and cones?

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Read the Overview provided at learn.thinkcerca.com

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O V E R V I E W A N D C O N N E C T

Share Your Personal Connection

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Complete the Connect section for this selection at learn.thinkcerca.com

Instructions:�

  1. Think: On your own, think about your experiences related to the topic.
  2. Pair & Share: With a partner, group, or a trusted listener, share the parts of your response that you feel comfortable sharing.
  3. Reflect: If time permits, reflect on your experience. What ideas did others share that you hadn't considered? How were your ideas alike?

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R E A D

Share Your Reflections

Instructions: During or after you have finished reading, find the questions in the text marked Pause and Reflect. These questions may help you understand the text, or they may help you connect the text to yourself, to other texts, or to the world around you.

Use the space on the left below to answer the reflection questions. Then discuss your answers, noting how they were similar or different.

Record “Pause and Reflect” answers here:

Record discussion reflections here:

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Refer to the Pause and Reflect questions within the Read section of the lesson at learn.thinkcerca.com.

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S T E P 2 : R E A D

Test Prep Strategy: Error Analysis

Reflect on any multiple choice questions that you got wrong. Taking this step will allow you to avoid making the same mistakes when you see similar questions in the future.

Item

Why was your answer incorrect?

What was the cause of the error?

What made the correct answer right?

Refer to the reading and multiple choice questions for this lesson at learn.thinkcerca.com.

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A N A L Y Z E / E N G A G E W I T H T H E T E X T

Highlight and Annotate

In this step, you will analyze the text closely, then discuss your findings to begin developing reasoning for your argument.

  1. Read the text again, highlighting and annotating important details. ��Follow the prompts provided. The highlighting prompts will help you with the final writing task. ��You will find evidence to support your own argument or informational piece, as well as models of excellence that will help you better understand a writer’s craft in narratives and poetry. The evidence you highlight will be available when you begin building your draft in the next step.

  1. If time permits, pair and share your highlights and annotations with a classmate. Pay close attention to this conversation! Your thinking is important reasoning that you may include in your final draft.

Return to learn.thinkcerca.com to complete Analyze / Engage with the Text.

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S U M M A R I Z E

Write a Summary

Summaries help you process your thinking about a text and are often a great way to start off an argumentative or informational essay. A good summary shows you have knowledge about a topic.

Practicing summarizing also helps you prepare for the main idea questions posed on many standardized assessments. In addition, summarizing is a helpful skill for working with others, such as when you need to confirm your understanding of what someone else has said. That's a useful skill for all parts of life.

  1. Use the sentence stems provided in the online lesson to summarize the text. Your summary should:
  2. Be brief
  3. Include the main idea and key details
  4. Represent these ideas fairly and accurately �
  5. If time permits, pair and share with a classmate. Read each other’s summary, and discuss how they are similar or different. What did you say were the main idea and key details? Were your summaries fair and accurate? Why?

Return to learn.thinkcerca.com to complete Summarize.

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D E V E L O P / B U I L D

Share your Argument Builder

When you’ve completed the argument building step, share your results with others, and listen to how they responded to the same question. Ask questions, and give feedback to help strengthen your partners’ reasons and evidence.

How can Jorge and Alejandra figure out whose house has the greater volume?

Share Your Argument

Listen and Record Others

1.

2.

3.

Complete Develop / Build to begin building your argument at learn.thinkcerca.com

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S T E P 6 : C R E A T E Y O U R C E R C A

Peer Editing Activity

  1. Do a self-assessment of your CERCA. Use the online Rubric for the lesson on learn.thinkcerca.com, checking each box where you find evidence that you have achieved the criteria.�
  2. Next, collaborate with a peer or peers to read each other’s drafts. Again, use the Rubric to evaluate each other’s work.�
  3. Share insights into what might make your pieces stronger. Find two positive attributes and one area of growth for each draft you review.�
  4. Revise your piece using what you learned from your self-assessment and the feedback from your peers.

Complete Step 6 to create your CERCA at learn.thinkcerca.com

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D R A F T A N D R E V I E W / C R E A T E

Reflect on Your Writing

Before you submit your final CERCA, write a brief reflection describing your experience.

An area for growth for me on this piece or in my writing in general is…

The strongest areas of this piece of writing are…

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Through self-assessment and/or peer editing, I learned…

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Optional Extensions

The following activities can be used as optional extensions to this lesson.

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O P T I O N A L E X T E N S I O N : A C T I V I T Y

Shapes All Around!

Background

Shapes are everywhere. Look around you. How many different shapes can you see? You probably see squares, other rectangles, or perhaps a triangle or circle.

In this activity, you are going to identify shapes in buildings, and think about why the architect may have decided to use these shapes. Then you will design your own building.

Materials

Activity

1. First, create a T-chart of shapes �you see around you, similar to this:

Add the objects you see and identify �the shape.

2. Next, design your own building. Include as many different shapes as you can. Label each shape in your design.

  • Paper
  • Pencil
  • Ruler

Object

Shape

door

rectangle

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O P T I O N A L E X T E N S I O N : A C T I V I T Y

Shapes All Around! (continued)

Reflect

Why do you think some objects are the shape they are?

What are some advantages to using certain shapes?

How would things change if common objects were a different shape? For example, what if doors were triangles?

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