Operations with Decimals

Dividing Whole Numbers

  • Focused Standards Board

    Topic: Whole Number Division

    Standard: MAFS.6.NS.2.2 - Fluently divide multi-digit numbers using the standard algorithm.

    Essential Question: How do I fluently divide multi-digit numbers using the standard algorithm?

    Objective: I can fluently divide multi-digit numbers using the standard algorithm. 

    Check for Understanding: 5 Question Quiz

     

    Achievement Level Descriptors

    The rubric below shows the extent to which you can be assessed in the Limits column and summarizes the levels of ability you can demonstrate for the standard under each Achievement Level. Note: Our goal is to work towards achieving at least a Level 3 for all standards. 

    6.NS.2.2 Descriptors


    Refresher

    In elementary school, we learned how to fluently multiply and divide, as well as a few ways to find partial quotients. 

    Partial Quotient Examples

    If you need a quick refresher on this concept, click here to view a video about dividing with 1 digit divisors. You can also practice this skill by clicking here

    Now we're going to move on to standard algorithm. 


    Lesson

    Preview:
    (Note, the 2-page of your notebook should already be set up for this lesson. If it isn't, please go back to Focused Notes and then return to the lesson). 

    In the preview section of the first 2-page spread, answer the following two prompts:

    1. Jot down everything that you've done in elementary school with dividing numbers. 
    2. If you had to answer 2925 ÷ 15, what steps would you take to solve the problem? 

    Notes:
    1. Take Notes

    You can write down the words, phrases, numbers, symbols, expressions, and equations that help you answer the Essential Question, as well as the answers and definitions to the guiding questions and vocabulary below. 

    Guiding Questions & Vocabulary:

    • What is standard algorithm?
    • dividend
    • divisor
    • quotient

     

    2. Process Notes

    Take a moment the read through your notes and ensure that they make sense and answer the EQ. They should also include responses to the guiding questions and vocabulary. 

    3. Connecting Thinking

    Answer the following two prompts in the far right margin of your 2-page spread.

    1. How does this relate to what you've already learned? 
    2. What, if anything, about this concept that is confusing? (If something is confusing, ask during an appropriate time, email me, or find the answer to your question by communicating with peers or searching online. 

    4. Summarize & Reflect on Learning

    Think about how your understanding of this topic relates to your ability to answer the essential question for this lesson.  (You can jot this summary in the process section. 

    5. Apply Learning 

    Answer the following questions on looseleaf paper. (This does not go in your notes!) I encourage you to work with a partner. 

    1. What is 780 ÷ 12?
    2. Ryan earned $341 in the month of March. How much did he earn per day, given he earned the same amount each day?
    3. With tax and shipping, a pair of wireless headphones that Noah wants to buy costs $154. If he saves $11 a week, how long will it be before he can purchase the headphones?
    4. A school with 1782 students tries to put the same number of children in each homeroom. If the goal is to keep the homeroom classes to 18 students each, how many classroom teachers will be needed this school year?
    5. Explain, in words, how to solve 2025 ÷ 81.

    Process:

    Answer the essential question in the process section of your notebook. 


    Practice:

    Please complete as many as you feel you need to in order to master the standard. Answer keys are included for your review. I encourage you to work through the questions before viewing the answers. 

    1. Practice 1 - Long Division with Grid (A) - from math-drills.com
    2. Practice 2 - Long Division with Grid (C) - from math-drills.com
    3. Practice 3 - Long Division (A) - from math-drills.com
    4. Practice 4 - Word Problems - from math-aids.com

     


    Check for Understanding (Graded Assignments):

    Remember, only submit 1 and wait for feedback before moving on to the next one. If you complete the first one with a rubric score of at least three, you will not be required to complete the other two. 

    1. Oral Assessment - When you have finished your note-taking and practice activities, please email and let me know. An email format example can be found under Course Information > Course Setup

      DO NOT GO ON UNTIL YOUR ORAL ASSESSMENT IS COMPLETE!

    2. Assessment 1 - Upon completion of your oral assessment, you may complete assessment 1. 
    3. Assessment 2 - If you are not satisfied with your score from assessment 1, you will be given the opportunity to go back through your work and identify misconceptions, after peer and/or teacher assistance, you will have a chance to take a different version of the assessment for this section of the module before you continue on. This assessment will be emailed to you. 

Adding & Subtracting Decimals

  • Focused Standards Board

    Topic: Adding & Subtracting Decimals

    Standard: MAFS.6.NS.2.3 - Fluently add, subtract, multiply, and divide multi-digit decimals, using the standard algorithm for each operation.

    Essential Question: How do I fluently compute using the four basic operations for questions that involve decimals?

    Objective: I can add and subtract numbers with decimals. 

    Check for Understanding: 5 Question Quiz or Applying Skills Activity

     

    Achievement Level Descriptors

    The rubric below shows the extent to which you can be assessed in the Limits column and summarizes the levels of ability you can demonstrate for the standard under each Achievement Level. Note: Our goal is to work towards achieving at least a Level 3 for all standards. 

     limits for ns.2.3  


    Refresher

    In elementary school, we learned how to__________________________________________

     

    If you need a quick refresher on this concept, click here. {Insert link}

     

    Now we're going to move on ________________________________________________________

    Lesson

    Preview:

    Notes:

    Process:

    Check for Understanding:

     

Multiplying & Dividing Decimals

  • Focused Standards Board

    Topic: Multiplying & Dividing Whole Numbers

    Standard: MAFS.6.NS.2.3 - Fluently add, subtract, multiply & divide multi-digit decimals using the standard algorithm for each operation. 

    Essential Question: How do I fluently compute using the four basic operations for questions that involve decimals?

    Objective: I can fluently add and subtract numbers with decimals. 

    Check for Understanding: 5 Question Quiz

     

    Achievement Level Descriptors

    The rubric below shows the extent to which you can be assessed in the Limits column and summarizes the levels of ability you can demonstrate for the standard under each Achievement Level. Note: Our goal is to work towards achieving at least a Level 3 for all standards. 

    mult & div achievement descriptors  


    Refresher

    In elementary school, we learned how to _____________________


    If you need a quick refresher on this concept, click here. {Insert link}

    Now we're going to move on to _________________________


    Lesson

    Preview: 
    (Note, the 2-page of your notebook should already be set up for this lesson. If it isn't, please go back to Focused Notes and then return to the lesson). 

    In the preview section of the first 2-page spread, answer the following two prompts:

    1. Question 1

    Notes:
    1. Take Notes

    You can write down the words, phrases, numbers, symbols, expressions, and equations that help you answer the Essential Question, as well as the answers and definitions to the guiding questions and vocabulary below. 

    Guiding Questions & Vocabulary:

    • Word 1

     

     

    2. Process Notes

    Take a moment the read through your notes and ensure that they make sense and answer the EQ. They should also include responses to the guiding questions and vocabulary. 

    3. Connecting Thinking

    Answer the following two prompts in the far right margin of your 2-page spread.

    1. How does this relate to what you've already learned? 
    2. What, if anything, about this concept that is confusing? (If something is confusing, ask during an appropriate time, email me, or find the answer to your question by communicating with peers or searching online. 

    4. Summarize & Reflect on Learning

    Think about how your understanding of this topic relates to your ability to answer the essential question for this lesson.  

    5. Apply Learning 

    Answer the following questions on looseleaf paper. (This does not go in your notes!) I encourage you to work with a partner. 

    1. Ex 1

    Process:

    Answer the essential question in the process section of your notebook. 


    Practice:

    Please complete as many as you feel you need to in order to master the standard. 

    1. Practice 1
    2. Practice 2
    3. Practice 3

     


    Check for Understanding:

    Remember, only submit 1 and wait for feedback before moving on to the next one. If you complete the first one with a rubric score of at least three, you will not be required to complete the other two. 

    1. Assessment 1 
    2. Assessment 2
    3. Assessment 3