Recent Changes

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
  3. page ED661 - Understanding Geometry and Measurement Fall 2017 edited ... Agenda We use measurement daily. Why is Measurement so hard for students? Are Look at the …
    ...
    Agenda
    We use measurement daily. Why is Measurement so hard for students?
    AreLook at the Measurement standards at your grade level. Are the standards: major standards,
    ...
    or additional standards at your grade level?standards?
    Share out the focus of measurement at your grade level
    Focus standards by grade
    Concepts neededCommon Core State Standards
    Process of Measurement
    If I were
    to understand measurement
    Bucket Activity
    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 Measurement Concepts

    Read Van de Walle Measurment IntroductionMeasurement introduction (K-2, 3-5, 6-8) first three pages
    Read Confer Sizing up Measurement introduction (copy)
    What-What are the
    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.
    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
    3. Inverse relationship between the size of the unit and the # of units
    4. Conservation of length - a different position does not change the length
    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
    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?
    Using only the broken ruler section, find the lengths of the sides and the perimeter
    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
    AreaPerimeter and Volume can be measured using only measures of length
    Conservation of area
    Area tasks - changingUnderstand the position o f a shape or subdividing it does not change the area
    Area Partitioning - irregular polygons can be partitioned into shapes to determine overall area
    relationship between these two measures
    Rectangles task
    Measurement Relationships- Area and Perimeter Fencing tasks

    Structuring an array - Understanding the multiplicative formulas for area
    Perimeter vs. area - Understand the relationship between these two measures
    (view changes)
    3:36 am

Thursday, September 14

  1. page ED661 - Understanding Geometry and Measurement Fall 2017 edited ... Concepts needed to understand measurement Bucket Activity Read Van de Walle Measurment Intr…
    ...
    Concepts needed to understand measurement
    Bucket Activity
    Read Van de Walle Measurment Introduction
    Read Confer Sizing up Measurement introduction (copy)
    What are the Big Ideas? Share out in a small group

    Explore the levels of thinking and Big Ideas of measurement
    5 Ways to Improve Children's Understanding of Length Measurement
    ...
    Formula relationships
    Preparation for presentations
    ...
    geometry activity.
    Directions.
    Measurement Standards
    ...
    Understanding standard units of measure
    Measuring Length
    Research Summary Measurement of Geometric Objects
    Scaffolding Conceptual Understanding for Linear Measurement
    Developmental progression for length measurement chart K-2
    (view changes)
    9:30 pm
  2. page ED661 - Understanding Geometry and Measurement Fall 2017 edited ... Explore the levels of thinking and Big Ideas of measurement Agenda Why We use measurement …
    ...
    Explore the levels of thinking and Big Ideas of measurement
    Agenda
    WhyWe use measurement daily. Why is Measurement
    Are Measurement standards major standards, supporting standards or additional standards at your grade level?
    Share out the focus of measurement at your grade level
    ...
    Perimeter vs. area - Understand the relationship between these two measures
    Formula relationships
    s
    Preparation for presentations
    Resources for Sept 16 Class
    Standards
    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
    unpacked geometry and measurement standards
    Standards Progressions
    Homework
    ...
    5 Ways to Improve Children's Understanding of Length Measurement
    Understanding standard units of measure
    Measuring Length
    Scaffolding Conceptual Understanding for Linear Measurement
    Developmental progression for length measurement chart K-2
    (view changes)
    8:46 pm
  3. page ED661 - Understanding Geometry and Measurement Fall 2017 edited ... Agenda Why is Measurement so hard for students? Progressions Activity- What do students nee…
    ...
    Agenda
    Why is Measurement so hard for students?
    Progressions Activity- What do students need to knowAre Measurement standards major standards, supporting standards or additional standards at your grade level?
    unpacked

    Share out the focus of measurement at your grade level
    Focus
    standards
    Gr K
    Gr 1
    Gr 2
    Gr 3
    Gr 4
    Gr 5
    Gr 6
    Gr 7
    Gr 8
    by grade
    Concepts needed to understand measurement
    Bucket Activity
    (view changes)
    8:23 pm
  4. page ED661 - Understanding Geometry and Measurement Fall 2017 edited Class Dates- Sept 16, Sept 30, October 14, October 28 September 16- Understanding Measurement K-5…
    Class Dates- Sept 16, Sept 30, October 14, October 28
    September 16- Understanding Measurement K-516, Sept 30
    Outcomes
    Understand K-5mathematical progression of Measurement
    Consider misconceptions or errors students may have
    Consider ways to develop
    understanding
    Big Ideas

    Understand the process and components ofconcepts needed to understand measurement
    process p271 math matters and article Copy p271 to 275
    components
    Measurement Involves a comparison of an attribute of an item or situation with a unit that has

    Explore
    the same attribute
    Estimation
    levels of measuresthinking and the developmentBig Ideas of benchmarks for frequently used unit of measure help students increase their familiarity with units
    Measurement instruments group multiple units so that you do not have to iterate a single unit multiple times
    measurement
    Agenda
    Measurement Big IdeasWhy is Measurement so hard for students?
    Progressions Activity- What do students need to know at your grade level?
    unpacked standards
    ...
    Gr 7
    Gr 8
    Bucket Activity - What do students needConcepts needed to know?understand measurement
    Bucket Activity
    Explore the levels of thinking and Big Ideas of measurement

    5 Ways to Improve Children's Understanding of Length Measurement
    There are many underlying concepts that contributeLevels of Thinking
    Explore the levels of thinking and Big Ideas of measurement
    Broken ruler - ability
    to being able to measure. Describe these concepts.
    Measuring Space in One, Two
    use any two sets of marks on a ruler
    Explore the levels of thinking
    and Three Dimensions
    Chapter 4
    Case Studies
    Big Ideas of measurement
    Area
    and VideosVolume can be measured using only measures of length
    Conservation of area - changing the position o f a shape or subdividing it does not change the area
    Area Partitioning - irregular polygons can be partitioned into shapes to determine overall area
    Structuring an array - Understanding the multiplicative formulas for area
    Perimeter vs. area - Understand the relationship between these two measures
    Formula relationships
    s

    Preparation for presentations
    Resources for Sept 16 Class
    ...
    Homework
    Read Van de Walle Chapter on Measurement
    Read Case Studies 12-17 and answer activity questions
    Prepare for presentation
    Measurement Sources
    (view changes)
    12:09 pm
  5. page ED661 - Understanding Geometry and Measurement Fall 2017 edited ... Gr 6 Gr 7 Gr 8 Bucket Activity - What do students need to know? 5 Ways to Improve Child…
    ...
    Gr 6
    Gr 7
    Gr 8
    Bucket Activity - What do students need to know?
    5 Ways to Improve Children's Understanding of Length Measurement
    (view changes)
    9:01 am
  6. page ED661 - Understanding Geometry and Measurement Fall 2017 edited ... Measurement Big Ideas Progressions Activity- What do students need to know at your grade leve…
    ...
    Measurement Big Ideas
    Progressions Activity- What do students need to know at your grade level?
    unpacked standards
    Gr K
    Gr 1
    Gr 2
    Gr 3
    Gr 4
    Gr 5
    Gr 6
    Gr 7
    Gr 8

    Bucket Activity - What do students need to know?
    5 Ways to Improve Children's Understanding of Length Measurement
    There are many underlying concepts that contribute to being able to measure. Describe these concepts.
    Measuring Space in One, Two and Three Dimensions
    Chapter 4
    Case Studies and Videos
    Preparation for presentations
    ...
    Common Core State Standards
    Standards of Mathematical Practice
    unpacked geometry and measurement standards
    Standards Progressions
    Homework
    (view changes)
    9:00 am

More