ALEX Learning Activity

  

Operations With Scientific Notation Practice

A Learning Activity is a strategy a teacher chooses to actively engage students in learning a concept or skill using a digital tool/resource.

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  This learning activity provided by:  
Author: YVETTE AKRIDGE
System:Andalusia City
School:Andalusia City Board Of Education
  General Activity Information  
Activity ID: 2883
Title:
Operations With Scientific Notation Practice
Digital Tool/Resource:
Operations with Scientific Notation Practice Quizizz
Web Address – URL:
Overview:

This Operations with Scientific Notation Practice Problems Quizizz game has 23 questions to test the understanding of performing operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used, and is intended to be used as an assessment activity. Quizizz allows the teacher to conduct student-paced formative assessments through quizzing, collaboration, peer-led discussions, and presentation of content in a fun and engaging way for students of all ages.

 

(This learning activity can be used as a stand-alone activity but is best used as an After Activity. The During and After Activities can be found in the Notes or Recommendations section.)

  Associated Standards and Objectives  
Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 7
Accelerated
16. Express and compare very large or very small numbers in scientific notation. [Grade 8, 5]

a. Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used, expressing answers in scientific notation. [Grade 8, 6]

b. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities. [Grade 8, 6a]

c. Interpret scientific notation that has been generated by technology. [Grade 8, 6b]
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Rewrite numbers using scientific notation.
  • Use use numbers in scientific notation to estimate measurements and values.
  • Use the laws of exponents to multiply and divide expressions containing numbers written in scientific and decimal notation to solve real-world problems.
  • Compare numbers written in scientific notation and express the multiplicative relationship between the numbers.
Teacher Vocabulary:
  • Multiplicative relationship
  • Scientific Notation
Knowledge:
Students know:
  • That scientific notation is formed using base ten system and is the reason a 10 is used as the base number.
  • Raising or lowering an exponent is has an effect on the place value of the decimal expansion.
  • That scientific notation is formed using a base ten system.
  • how to apply laws for multiplying and dividing exponents
Skills:
Students are able to:
  • Write numbers in standard notation in scientific notation.
  • Convert numbers from scientific notation back to standard form.
  • Use information given in scientific notation to estimate very large or small quantities given in real-world contexts.
  • Perform multiplication and division with numbers expressed in scientific notation to solve real-world problems, including problems where both scientific and decimal notation are used.
  • Choose between appropriate units of measure when determining solutions or estimating
Understanding:
Students understand that:
  • The movement of decimals in converting between scientific and standard notation is a function of an exponent.
  • Every decimal place represents a power of ten (this is a connection many students have not made yet when thinking about place value).
  • Scientific notation has real-world applications for very large and very small quantities found in many disciplines.
  • performing scientific notation operations are another application of integer exponent operations.
Diverse Learning Needs:
Mathematics
MA2019 (2019)
Grade: 8
6. Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used.

a. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities.

b. Interpret scientific notation that has been generated by technology.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Use the laws of exponents to multiply and divide expressions containing numbers written in scientific and decimal notation to solve real-world problems.
  • Compare numbers written in scientific notation and express the multiplicative relationship between the numbers.
Teacher Vocabulary:
  • Multiplicative Relationship
  • Scientific Notation
Knowledge:
Students know:
  • that scientific notation is formed using a base ten system.
  • how to apply laws for multiplying and dividing exponents.
Skills:
Students are able to:
  • perform multiplication and division with numbers expressed in scientific notation to solve real-world problems, including problems where both scientific and decimal notation are used.
  • Choose between appropriate units of measure when determining solutions or estimating
Understanding:
Students understand that:
  • scientific notation has real-world applications for very large and very small quantities found in many disciplines.
  • performing scientific notation operations are another application of integer exponent operations.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.8.6.1: Define scientific notation.
M.8.6.2: Calculate multiplication and division of scientific notation, with or without a calculator.
M.8.6.3: Recall properties of exponents.
M.8.6.4: Recall how to write a number using scientific notation.
M.8.6.5: Restate exponents as repeated multiplication.
M.8.6.6: Discuss the real-world application of scientific notation (very large or very small quantities).
M.8.6.7: Demonstrate difference of scientific notation symbol between paper and calculator.

Prior Knowledge Skills:
  • Recall that exponents are repeated multiplication.
  • Demonstrate the ability to multiply and divide a number by a power of ten.
  • Recognize the place value changes when multiplying/dividing by powers of ten.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.8.6 Identify irrational numbers as non perfect squares (e.g. discriminate between perfect and non perfect squares).


Learning Objectives:

Learning Targets:

  • I can perform operations using numbers expressed in scientific notations.
  • I can use scientific notation to express very large and very small quantities.
  • I can interpret scientific notation that has been generated by technology.
  • I can choose appropriate units of measure when using scientific notation.
  Strategies, Preparations and Variations  
Phase:
After/Explain/Elaborate
Activity:

  1. Students will demonstrate their mastery of performing operations with numbers expressed in scientific notation, including problems with both decimal and scientific notation, converting between forms as needed through interactive game-based Quizizz. The students and teacher will follow these steps:
  2. The teacher will have the students log on to https://quizizz.com/.
  3. The students will be prompted to enter the game code for the Operations with Scientific Notation Practice Problems. (See additional information below for alternative ways to assign the game.)
  4. The teacher will display the game code at the front of the class.
  5. The students will enter their names, which will appear on the screen at the front as they join--no student accounts are needed.
  6. Once everyone has joined, the teacher will need to press the “Start” button on the teacher device, which will then display the name of the Quizizz and a count down from 5 indicating the game is about to start.
  7. Students work as fast as they can to answer multiple-choice style questions on performing operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation is used.
  8. The progress of students as they answer questions will be displayed on the live dashboard at the front of the class.
  9. Once the game has ended, the teacher can award the winner with the kudos he/she deserves.
  10. When the final leader board is displayed, every student can see their personal feedback on their device: total points, the number of correct/incorrect questions, and the position in the class they finished in.
  11. On the teacher device, there are options to review questions, see the class accuracy, see the toughest question, the question that took the longest to answer, and interesting facts.
  12. Also on the teacher device, the teacher can choose to download the quiz results. This provides a spreadsheet listing each of your students, how they answered each question, and how long it took them. Correct answers are highlighted in green, and incorrect ones are in red.
  13. The teacher will use the results to determine whether the students understand performing operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation is used.
  14. Press the ‘Play Again’ button to instantly play the same Quizizz again if further review is needed. Your students’ devices will automatically reset to the start of the game or the teacher can search for a different Quizizz game.
Assessment Strategies:

Advanced Preparation:

The teacher will need to ensure the classroom has the following: classroom set of computers, iPads, or smart devices. (If allowed students can use their own personal devices.)

Variation Tips (optional):
Notes or Recommendations (optional):

This activity can stand alone or be used as an After/Explain/Elaborate activity for the following learning activities:

Operations With Scientific Notation Introduction (Before Activity)

Operations With Scientific Notation Lesson (During Activity)

  Keywords and Search Tags  
Keywords and Search Tags: divide, multiply, operations, scientific notation