Exam 2: Defining a Comprehensive Mathematics Program

According to the Mathematical Practice "Construct Viable Arguments and Critique the Reasoning of Others," mathematically proficient students should be able to do all of the following except:

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Question 1

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Kindergarteners determine their favorite ice cream flavor and use sticky notes to create a bar graph of their favorite flavors. Determine which of the content standards is being utilized and explain why it is important for children to learn this content.

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Question 2

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The content standard being utilized in this activity is likely related to data representation and analysis, specifically graphing and interpreting data. This is important for children to learn because it helps them develop important skills in organizing and analyzing information. By creating a bar graph of their favorite ice cream flavors, kindergarteners are learning how to visually represent data and draw conclusions from it. This activity also helps them develop their math skills, such as counting, comparing quantities, and understanding basic concepts of measurement. Additionally, it encourages critical thinking and problem-solving as they determine how to organize the data and create the graph. Overall, learning about data representation and analysis at a young age helps children build a foundation for more advanced math and analytical skills in the future.

Number and number operations should emphasize:

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Question 3

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Sara adds 45 + 32 by adding 45 + 2 to obtain 47, then by adding 30 to get 77. Determine which content standard her strategy relates to and explain why her strategy should be encouraged.

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Question 4

Patterns and functions are associated most closely with the following Common Core State Standards domains except for :

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Question 5

According to the Mathematical Practice "Look for and Express Regularity in Repeated Reasoning," mathematically proficient students should be able to do all of the following except:

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Question 6

Which of the following problems is the most open and would require students to do the most creative problem solving?

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Question 7

Describe a real-life situation in which mathematics is used in everyday life. Which Mathematical Content and Practices are represented in the situation you described?

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Question 8

Geometry and spatial sense are central mathematical ideas in our world. Give two examples that show how elementary children could be introduced to these ideas.

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Question 9

Marcus sketches a graph of a function on the chalkboard. His friend creates a table of values for the function, and another friend creates a set of ordered pairs for the function. Determine which Mathematical Practices are being utilized and explain their significance in this situation.

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Question 10

Explain why problem-solving is the overriding theme for teaching all mathematics, according to the NCTM.

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Question 11

Use the mathematical number idea of ¼. Describe four ways that children might represent ¼. You may include concrete, pictorial, and symbolic forms. Explain which mathematical practice this pertains to.

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Question 12

Describe how communication might be enhanced through activities and situations found in the elementary mathematics class. What is the value of communication?

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Question 13

Explaining why the area of a triangle is half that of a related rectangle involves several process standards. Choose two process standards and explain how they relate to this problem.

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Question 14

According to the Mathematical Practice "Make Sense of Problems and Persevere in Solving Them," mathematically proficient students should be able to do all of the following except:

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Question 15

According to the National Assessment of Educational Progress (NAEP), a test that is given to elementary, middle, and high school students in the United States, measurement is one of the significant weaknesses of many students. Give several suggestions for why this is one of the weakest areas in mathematics and explain what you would do as a future teacher to improve on this state of affairs.

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Question 16

Showing 1 - 16 of 16

According to the Mathematical Practice "Construct Viable Arguments and Critique the Reasoning of Others," mathematically proficient students should be able to do all of the following except:

Kindergarteners determine their favorite ice cream flavor and use sticky notes to create a bar graph of their favorite flavors. Determine which of the content standards is being utilized and explain why it is important for children to learn this content.

Number and number operations should emphasize:

Sara adds 45 + 32 by adding 45 + 2 to obtain 47, then by adding 30 to get 77. Determine which content standard her strategy relates to and explain why her strategy should be encouraged.

Patterns and functions are associated most closely with the following Common Core State Standards domains except for :

According to the Mathematical Practice "Look for and Express Regularity in Repeated Reasoning," mathematically proficient students should be able to do all of the following except:

Which of the following problems is the most open and would require students to do the most creative problem solving?

Describe a real-life situation in which mathematics is used in everyday life. Which Mathematical Content and Practices are represented in the situation you described?

Geometry and spatial sense are central mathematical ideas in our world. Give two examples that show how elementary children could be introduced to these ideas.

Marcus sketches a graph of a function on the chalkboard. His friend creates a table of values for the function, and another friend creates a set of ordered pairs for the function. Determine which Mathematical Practices are being utilized and explain their significance in this situation.

Explain why problem-solving is the overriding theme for teaching all mathematics, according to the NCTM.

Use the mathematical number idea of ¼. Describe four ways that children might represent ¼. You may include concrete, pictorial, and symbolic forms. Explain which mathematical practice this pertains to.

Describe how communication might be enhanced through activities and situations found in the elementary mathematics class. What is the value of communication?

Explaining why the area of a triangle is half that of a related rectangle involves several process standards. Choose two process standards and explain how they relate to this problem.

According to the Mathematical Practice "Make Sense of Problems and Persevere in Solving Them," mathematically proficient students should be able to do all of the following except:

Elementary Mathematics for the 21st Century

Mathematics for Every Child

Learning Mathematics

Organizing Effective Instruction

Integrating Assessment

Developing Problem-Solving Strategies

Developing Concepts of Number

Extending Number Concepts and Number Systems

Developing Number Operations With Whole Numbers

Extending Computational Fluency With Larger Numbers

Developing Understanding of Common and Decimal Fractions

Extending Understanding of Common and Decimal Fractions

Developing Aspects of Proportional Reasoning: Ratio, Proportion, and Percent

Thinking Algebraically

Developing and Extending Geometric Concepts and Systems

Developing and Extending Measurement Concepts

Understanding and Representing Concepts of Data

Investigating Probability

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Exam 2: Defining a Comprehensive Mathematics Program

According to the Mathematical Practice "Construct Viable Arguments and Critique the Reasoning of Others," mathematically proficient students should be able to do all of the following except: ​

Kindergarteners determine their favorite ice cream flavor and use sticky notes to create a bar graph of their favorite flavors. Determine which of the content standards is being utilized and explain why it is important for children to learn this content.

Number and number operations should emphasize: ​

Sara adds 45 + 32 by adding 45 + 2 to obtain 47, then by adding 30 to get 77. Determine which content standard her strategy relates to and explain why her strategy should be encouraged.

Patterns and functions are associated most closely with the following Common Core State Standards domains except for : ​

According to the Mathematical Practice "Look for and Express Regularity in Repeated Reasoning," mathematically proficient students should be able to do all of the following except: ​

Which of the following problems is the most open and would require students to do the most creative problem solving? ​

Describe a real-life situation in which mathematics is used in everyday life. Which Mathematical Content and Practices are represented in the situation you described?

Geometry and spatial sense are central mathematical ideas in our world. Give two examples that show how elementary children could be introduced to these ideas.

Marcus sketches a graph of a function on the chalkboard. His friend creates a table of values for the function, and another friend creates a set of ordered pairs for the function. Determine which Mathematical Practices are being utilized and explain their significance in this situation.

Explain why problem-solving is the overriding theme for teaching all mathematics, according to the NCTM.

Use the mathematical number idea of ¼. Describe four ways that children might represent ¼. You may include concrete, pictorial, and symbolic forms. Explain which mathematical practice this pertains to.

Describe how communication might be enhanced through activities and situations found in the elementary mathematics class. What is the value of communication?

Explaining why the area of a triangle is half that of a related rectangle involves several process standards. Choose two process standards and explain how they relate to this problem.

According to the Mathematical Practice "Make Sense of Problems and Persevere in Solving Them," mathematically proficient students should be able to do all of the following except:

Elementary Mathematics for the 21st Century

Mathematics for Every Child

Learning Mathematics

Organizing Effective Instruction

Integrating Assessment

Developing Problem-Solving Strategies

Developing Concepts of Number

Extending Number Concepts and Number Systems

Developing Number Operations With Whole Numbers

Extending Computational Fluency With Larger Numbers

Developing Understanding of Common and Decimal Fractions

Extending Understanding of Common and Decimal Fractions

Developing Aspects of Proportional Reasoning: Ratio, Proportion, and Percent

Thinking Algebraically

Developing and Extending Geometric Concepts and Systems

Developing and Extending Measurement Concepts

Understanding and Representing Concepts of Data

Investigating Probability

Filters

According to the Mathematical Practice "Construct Viable Arguments and Critique the Reasoning of Others," mathematically proficient students should be able to do all of the following except:

Number and number operations should emphasize:

Patterns and functions are associated most closely with the following Common Core State Standards domains except for :

According to the Mathematical Practice "Look for and Express Regularity in Repeated Reasoning," mathematically proficient students should be able to do all of the following except:

Which of the following problems is the most open and would require students to do the most creative problem solving?