Recent Changes

Friday, September 29

  1. page ED661 - Understanding Geometry and Measurement Fall 2017 edited ... Measuring Length Day Two Understand mathematical progression Explore the big ideas of Me…
    ...
    Measuring Length
    Day Two
    Understand mathematical progressionExplore the big ideas of Measurementmeasurement in elementary grades
    Understand
    area, surface area and volume
    Use
    the concepts neededcoherence map to understand measurement
    Explore the levels of thinking
    develop understanding within your grade and Big Ideas of measurementgrade band
    Exploring Area and levels of understanding
    Area and Arrays
    Structuring an array - Understanding the multiplicative formulas for area
    Arts Tasks
    Levels
    - Levels of understanding
    Measurement tasks with Tangrams
    Area

    Surface Area
    and Volume
    Unit Dog

    Determine the surface area and volume of cubes
    Explore how the surface area and volume of an irregularyly shaped objec, "unit dog," change as the dimensions are scaled

    Presentations

    (view changes)
    7:57 pm
  2. page ED661 - Understanding Geometry and Measurement Fall 2017 edited ... Read Essential Understandings at your grade band- Measurement understandings Prepare for pres…
    ...
    Read Essential Understandings at your grade band- Measurement understandings
    Prepare for presentation
    ...
    Measurement Sources
    Essential Understanding of Geometry and Measurement into Practice K-2
    Essential Understanding of Geometry and Measurement into Practice 3-5
    ...
    Explore the levels of thinking and Big Ideas of measurement
    Exploring Area and levels of understanding
    Explore the levels of thinkingArea and Big Ideas of measurementArrays
    Structuring an array - Understanding the multiplicative formulas for area
    Arts Tasks
    Levels of understanding
    Measurement tasks with Tangrams
    Area and Volume
    Unit Dog
    Presentations

    (view changes)
    4:11 pm
  3. page ED661 - Understanding Geometry and Measurement Fall 2017 edited Class Dates- Sept 16, Sept 30, October 14, October 28 September 16, Sept 30 Session Day One O…
    Class Dates- Sept 16, Sept 30, October 14, October 28
    September 16, Sept 30
    SessionDay One Outcomes
    Understand mathematical progression of Measurement in elementary grades
    Understand the concepts needed to understand measurement
    Explore the levels of thinking and Big Ideas of measurement
    Day One Agenda
    Measurement
    1. Measurement Standards
    We use measurement daily. Why is Measurement so hard for students?
    Look at the Measurement standards at your grade level.
    ...
    Focus standards by grade
    Common Core State Standards
    Read Measurement Concepts2. Readings
    Read Van de Walle Measurement introduction (K-2, 3-5, 6-8) first three pages
    Read Confer Sizing up Measurement introduction (copy)
    Read Big Ideas and levels of thinking. Discuss the levels of thinking. In your group, use math tools to model each of these levels of thinking
    Measurement -levels3. Levels of thinkingThinking
    1. Unit iteration - the number of units = the distance being measured; placing the length of a small unit repeatedly along the length of an object being measured
    2. Structuring Length - end-to-end, straight, no gaps or overlaps
    ...
    5. Transitive reasoning - ability to compare objects that are not side by side. If the length of object A is equal to the length of object B, and the length of object B is equal to the length of object C, the length of object A is equal to the length of object C.
    6. Equal partitioning - the mental action of dividing an object into equal parts or units
    Measurement-4. Math Workshop with length tasks
    You will do a series of math tasks involving length. The tasks progress in development. As you do the tasks, you will consider which concepts or levels of thinking the students may be learning.
    Read, 5 Ways to Improve Children's Understanding of Length Measurement.
    Measurement -5. Broken Ruler Activity
    Ability to use any two sets of marks on a ruler
    Can you measure the perimeter of a shape using only a broken ruler?
    ...
    Is the sum of the four sides the same as the length of string?
    Measure the shape cutouts using your broken ruler
    Measurement-Perimeter/Area6. Perimeter/Area
    Understand the relationship between these two measures
    Rectangles task
    Measurement Relationships- Area and Perimeter Fencing tasks
    Perimeters of different shapes
    Prep for session7. Day two prep
    Work with 2-4 people at your grade level. Choose a measurement activity or geometry activity.
    Homework for September 308. Day one homework
    Read Van de Walle Chapter on Measurement
    Read Essential Understandings at your grade band- Measurement understandings
    Prepare for presentation
    Measurement9. Measurement Sources and Articles
    Essential Understanding of Geometry and Measurement into Practice K-2
    Essential Understanding of Geometry and Measurement into Practice 3-5
    5 Ways to Improve Children's Understanding of Length Measurement
    Measuring Length
    SessionDay Two Outcomes
    Understand mathematical progression of Measurement in elementary grades
    Understand the concepts needed to understand measurement
    (view changes)
    4:09 pm
  4. page ED661 - Understanding Geometry and Measurement Fall 2017 edited ... Measurement Standards We use measurement daily. Why is Measurement so hard for students? ..…
    ...
    Measurement Standards
    We use measurement daily. Why is Measurement so hard for students?
    ...
    grade level.
    Are the standards: major standards, supporting standards or additional standards?
    Share out the focus of measurement at your grade level
    ...
    Read Confer Sizing up Measurement introduction (copy)
    Read Big Ideas and levels of thinking. Discuss the levels of thinking. In your group, use math tools to model each of these levels of thinking
    Measurement Levels-levels of Thinkingthinking
    1. Unit iteration - the number of units = the distance being measured; placing the length of a small unit repeatedly along the length of an object being measured
    2. Structuring Length - end-to-end, straight, no gaps or overlaps
    ...
    5. Transitive reasoning - ability to compare objects that are not side by side. If the length of object A is equal to the length of object B, and the length of object B is equal to the length of object C, the length of object A is equal to the length of object C.
    6. Equal partitioning - the mental action of dividing an object into equal parts or units
    Big Ideas of MeasurementMeasurement- length tasks
    You will do a series of math tasks involving length. The tasks progress in development. As you do the tasks, you will consider which concepts or levels of thinking the students may be learning.
    Read, 5 Ways to Improve Children's Understanding of Length Measurement.
    Big Ideas of Measurement
    Broken ruler
    Measurement - abilityBroken Ruler
    Ability
    to use
    Can you measure the perimeter of a shape using only a broken ruler?
    Measure the length of string needed to wrap exactly around the shape.
    ...
    Is the sum of the four sides the same as the length of string?
    Measure the shape cutouts using your broken ruler
    Big Ideas of Measurement
    Perimeter and Area tasks - Understand
    Measurement-Perimeter/Area
    Understand
    the relationship
    Rectangles task
    Measurement Relationships- Area and Perimeter Fencing tasks
    Perimeters of different shapes
    PreparationPrep for Geometry and Measurement presentationssession two
    Work with 2-4 people at your grade level. Choose a measurement activity or geometry activity.
    Homework for September 30
    (view changes)
    4:04 pm
  5. page ED661 - Understanding Geometry and Measurement Fall 2017 edited ... Measurement Standards We use measurement daily. Why is Measurement so hard for students? ..…
    ...
    Measurement Standards
    We use measurement daily. Why is Measurement so hard for students?
    ...
    grade level. Are
    Are
    the standards:
    Share out the focus of measurement at your grade level
    Focus standards by grade
    (view changes)
    4:00 pm
  6. page ED661 - Understanding Geometry and Measurement Fall 2017 edited ... 6. Equal partitioning - the mental action of dividing an object into equal parts or units Big…
    ...
    6. Equal partitioning - the mental action of dividing an object into equal parts or units
    Big Ideas of Measurement
    ...
    be learning.
    Read,

    Read,
    5 Ways
    ...
    Length Measurement.
    Big Ideas of Measurement
    Broken ruler - ability to use any two sets of marks on a ruler
    (view changes)
    3:59 pm
  7. page ED661 - Understanding Geometry and Measurement Fall 2017 edited Class Dates- Sept 16, Sept 30, October 14, October 28 September 16, Sept 30 Outcomes Session On…
    Class Dates- Sept 16, Sept 30, October 14, October 28
    September 16, Sept 30
    OutcomesSession One Outcomes
    Understand mathematical progression of Measurement in elementary grades
    Understand the concepts needed to understand measurement
    Explore the levels of thinking and Big Ideas of measurement
    AgendaDay One Agenda
    Measurement Standards

    We use measurement daily. Why is Measurement so hard for students?
    Look at the Measurement standards at your grade level. Are the standards: major standards, supporting standards or additional standards?
    ...
    Focus standards by grade
    Common Core State Standards
    Process of Measurement
    If I were to ask you to measure an object for example an empty bucket, what would you need to know?
    In your group discuss what you would need to know.
    Explore
    Read Measurement Concepts
    Read Van de Walle Measurement introduction (K-2, 3-5, 6-8) first three pages
    Read Confer Sizing up Measurement introduction (copy)
    -What are the Big Ideas? Share out in a small group
    Read
    Read Big Ideas
    ...
    of thinking
    Levels

    Measurement Levels
    of Thinking
    1. Unit iteration - the number of units = the distance being measured; placing the length of a small unit repeatedly along the length of an object being measured
    2. Structuring Length - end-to-end, straight, no gaps or overlaps
    ...
    5. Transitive reasoning - ability to compare objects that are not side by side. If the length of object A is equal to the length of object B, and the length of object B is equal to the length of object C, the length of object A is equal to the length of object C.
    6. Equal partitioning - the mental action of dividing an object into equal parts or units
    Explore the levels of thinking and BigBig Ideas of measurement
    5 Ways to Improve Children's Understanding of Length
    Measurement
    You
    ...
    be learning.
    Explore the levels

    Read, 5 Ways to Improve Children's Understanding
    of thinking and BigLength Measurement.
    Big
    Ideas of measurementMeasurement
    Broken ruler - ability to use any two sets of marks on a ruler
    Can you measure the perimeter of a shape using only a broken ruler?
    ...
    Is the sum of the four sides the same as the length of string?
    Measure the shape cutouts using your broken ruler
    As you do the broken ruler task think about why students might have difficulty? What do they need to understand?
    Explore the levels of thinking and Big
    Big Ideas of measurementMeasurement
    Perimeter and Area tasks - Understand the relationship between these two measures
    Rectangles task
    Measurement Relationships- Area and Perimeter Fencing tasks
    Perimeters of different shapes
    Explore the levels of thinking and Big Ideas of measurement
    Structuring an array - Understanding the multiplicative formulas
    Preparation for area
    Arts Tasks
    Levels of understanding
    Measurement tasks with Tangrams
    Preparation for presentations
    Geometry and Measurement presentations
    Work with 2-4 people at your grade level. Choose a measurement activity or geometry activity.
    Homework for September 30
    Read Van de Walle Chapter on Measurement
    Read Essential Understandings at your grade band- Measurement understandings
    Prepare for presentation
    Measurement Sources and Articles
    Essential Understanding of Geometry and Measurement into Practice K-2
    Putting Essential Understanding of Geometry and Measurement into Practice 3-5
    Essential Understanding of Geometry and Measurement into Practice 3-5
    Putting Essential Understanding of Geometry and Measurement into Practice 3-5
    Measurement Articles

    5 Ways to Improve Children's Understanding of Length Measurement
    Understanding standard units of measure
    Measuring Length
    Research SummarySession Two Outcomes
    Understand mathematical progression of
    Measurement in elementary grades
    Understand the concepts needed to understand measurement
    Explore the levels
    of Geometric Objects
    Scaffolding Conceptual
    thinking and Big Ideas of measurement
    Exploring Area and levels of understanding
    Explore the levels of thinking and Big Ideas of measurement
    Structuring an array -
    Understanding the multiplicative formulas for Linear Measurement
    Developmental progression for length measurement chart K-2
    area
    Arts Tasks
    Levels of understanding
    Measurement tasks with Tangrams

    (view changes)
    3:58 pm

Saturday, September 16

  1. page ED661 - Understanding Geometry and Measurement Fall 2017 edited ... Read Confer Sizing up Measurement introduction (copy) -What are the Big Ideas? Share out in a…
    ...
    Read Confer Sizing up Measurement introduction (copy)
    -What are the Big Ideas? Share out in a small group
    ExploreRead Big Ideas and levels of thinking. Discuss the levels of thinking and Big Ideas of measurement
    5 Ways
    thinking. In your group, use math tools to Improve Children's Understandingmodel each of Length Measurement
    You will do a series of math tasks involving length. The tasks progress in development. As you do the tasks, you will consider which concepts or
    these levels of thinking the students may be learning.
    Levels of Thinking
    1. Unit iteration - the number of units = the distance being measured; placing the length of a small unit repeatedly along the length of an object being measured
    ...
    5. Transitive reasoning - ability to compare objects that are not side by side. If the length of object A is equal to the length of object B, and the length of object B is equal to the length of object C, the length of object A is equal to the length of object C.
    6. Equal partitioning - the mental action of dividing an object into equal parts or units
    Explore the levels of thinking and Big Ideas of measurement
    5 Ways to Improve Children's Understanding of Length Measurement
    You will do a series of math tasks involving length. The tasks progress in development. As you do the tasks, you will consider which concepts or levels of thinking the students may be learning.

    Explore the levels of thinking and Big Ideas of measurement
    Broken ruler - ability to use any two sets of marks on a ruler
    (view changes)
    4:43 am
  2. page ED661 - Understanding Geometry and Measurement Fall 2017 edited ... September 16, Sept 30 Outcomes ... of Measurement understanding in elementary grades U…
    ...
    September 16, Sept 30
    Outcomes
    ...
    of Measurement understandingin elementary grades
    Understand the concepts needed to understand measurement
    Explore the levels of thinking and Big Ideas of measurement
    ...
    Process of Measurement
    If I were to ask you to measure an object for example an empty bucket, what would you need to know?
    ...
    to know.
    Explore Measurement Concepts
    Read Van de Walle Measurement introduction (K-2, 3-5, 6-8) first three pages
    ...
    Explore the levels of thinking and Big Ideas of measurement
    5 Ways to Improve Children's Understanding of Length Measurement
    ...
    be learning.
    Levels of Thinking
    1. Unit iteration - the number of units = the distance being measured; placing the length of a small unit repeatedly along the length of an object being measured
    ...
    Broken ruler - ability to use any two sets of marks on a ruler
    Can you measure the perimeter of a shape using only a broken ruler?
    UsingMeasure the length of string needed to wrap exactly around the shape.
    Using
    only the
    ...
    and the perimeterperimeter.
    Is the sum of the four sides the same as the length of string?
    Measure the shape cutouts using your broken ruler

    As you do the broken ruler task think about why students might have difficulty? What do they need to understand?
    Explore the levels of thinking and Big Ideas of measurement
    ...
    Rectangles task
    Measurement Relationships- Area and Perimeter Fencing tasks
    Perimeters of different shapes
    Explore the levels of thinking and Big Ideas of measurement

    Structuring an array - Understanding the multiplicative formulas for area
    Perimeter vs. area - Understand the relationship between these two measures
    Formula relationships
    Arts Tasks
    Levels of understanding
    Measurement tasks with Tangrams

    Preparation for presentations Geometry and Measurement
    Work with 2-4 people at your grade level. Choose a measurement activity or geometry activity.
    Directions.
    Measurement Standards
    Common Core State Standards
    Standards of Mathematical Practice
    Standards Progressions

    Homework
    Read Van de Walle Chapter on Measurement
    ...
    Scaffolding Conceptual Understanding for Linear Measurement
    Developmental progression for length measurement chart K-2
    Dan Meyer 3-Act Tasks
    (view changes)
    3:46 am

More