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Unit 1.2: Attributes of 2-D Shapes

Big Idea: Two-dimensional shapes with or without curved edges can be described, classified, and analyzed by their attributes. Students determine which attributes define a shape, such as number of sides and vertices, and which attributes do not, such as color or size. Students may use informal language to describe these attributes..

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Teacher-facing pages are green

Student-facing pages are white

notes for teachers are in the speaker notes

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New Learning:

Re-engagement:

  • Distinguish between 2-D and 3-D shapes.

Major emphasis:

  • Identify attributes of shapes.
  • Differentiate between defining and non-defining attributes of shapes.
  • Data can be organized in order to answer questions about it

Limited emphasis:

  • Students compose and decompose shapes to create new shapes.

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Suggested Lesson Sequence

Week 1

Warm-up: Entry Task

  • Sort shapes into two categories: triangles and not triangles

Lesson 1: LS 1 Day 1 Jamboard (Spanish)

  • Examine different shapes and sort them into groups of rectangles, trapezoids and other, by their attributes.

Lesson 2: LS 1 Day 2 Jamboard (Spanish)

  • Examine different shapes and sort them into groups of circles, squares, and other, by their attributes.

Lesson 3: LS2 Day 1 & 2 Seesaw (Spanish)

  • Students experiment with partitioning squares into halves
  • Students experiment with partitioning circles and rectangles into halves.

Week 2

Lesson 4: LS 3 Day 1 Seesaw Shape Puzzles (Spanish)

  • Pattern blocks are composed to create a new larger shape in the form of a picture

Lesson 5: LS 3 Day 2 Seesaw Pattern Block Design (Spanish)

  • Pattern block pictures are reorganized make it easier to count and compare the quantities of the blocks.

Lesson 6: Milestone Task Seesaw Shape Sort (Spanish)

  • Shapes are sorted into a category and a non-example is created.

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Synchronous and Asynchronous Teaching Options:

Launch

Explore

Summarize

  • Whole group or small group Zoom meeting
  • Work on paper / take turns sharing on Zoom meeting
  • Select student responses to share/discuss on whole group Zoom meeting

  • Record using slides on Screencastify/ Loom
    • Example
  • Embed recording link into assignment instructions
  • Seesaw
    • Draw on template or take photo of work
    • Record voice description
    • Can view and comment on each other’s work
  • Jamboard
    • Whole class board or 1 page per student
  • Record narrative of selected student work on slides with Screencastify/Loom
    • Students respond to reflection question on Seesaw/Google Classroom (example)
  • Post selected student work on Seesaw “Blog”
    • Students comment on each other’s work
    • Respond to reflection question.

Synchro-

nous (live)

Asynchronous (time-delayed)

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Technology Resources

  • Tangram Puzzle Cat: Figure out how to put tangram pieces into a cat puzzle so that they all fit.

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Objective: To build one-to-one correspondence, lay the foundation for an understanding of place value, and give students a concrete sense of the magnitude of numbers up to 180 and their relationship to the passage of time.

See the Number of Days in School (Spanish) slides for a description of how to incorporate this routine into your lessons.

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Daily Routine: Counting Routine

Objective: To provide students opportunities to count forward and backwards by various whole numbers and decimals, developing an understanding of patterns in counting, addition and subtraction (and later multiplication) and place value.

See the Counting Routine slides for a description of how to incorporate this routine into your lessons.

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Math Talks:

Which One Doesn’t Belong

Whole Class or Groups:

Show students one of the shape sets and ask: Which one doesn’t belong? Why?

  • Shapes can be described, classified, and analyzed by their attributes. Students can determine which attributes define a shape and which do not.

Shape #1

Shape #2

Shape #3

Share your screen and annotate the Math Talk using the Zoom Annotation tool as students share their thinking

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Which One Doesn’t Belong

Students might notice:

Defining Attributes

Non-Defining Attributes

Straight sides

Curved sides

Number of sides

2D & 3-D Representations

Angle of sides (may define or may not)

Orientation of shape

Color

Shading

Angle of sides (may define or may not)

Focus possibilities for summary discussion: What shapes did we see today? How did we know how to name them? What attributes did we talk about? Which attributes made the shape different?

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Which shape doesn’t belong?

There can be more than one answer.

Why?

There can be more than one reason.

Math Talks: Which One Doesn’t Belong

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Which shape doesn’t belong?

There can be more than one answer.

Why?

There can be more than one reason.

Math Talks: Which One Doesn’t Belong

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Which shape doesn’t belong?

There can be more than one answer.

Why?

There can be more than one reason.

Math Talks: Which One Doesn’t Belong

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Which shape doesn’t belong?

There can be more than one answer.

Why?

There can be more than one reason.

Math Talks: Which One Doesn’t Belong

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Which shape doesn’t belong?

There can be more than one answer.

Why?

There can be more than one reason.

Math Talks: Which One Doesn’t Belong

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Warm-up: Entry Task

Whole Class or Groups:

  • Pick a focus norm
  • What shape is this? How do you know?

Independent work:

  • Sort shapes into Triangle/Not a triangle categories
  • Move triangles with student guidance and justification
  • Students sort shapes into two categories: triangles and not triangles.
  • This is a short teacher directed warm-up.

Whole Class or Groups:

  • Review sort and allow students to agree, disagree
  • Create Triangle Frayer Model anchor chart

Core Math to Emphasize

  • Shapes can be identified by their defining attributes. The defining attributes of a triangle are that it is a closed shape with 3 straight sides and 3 corners (angles or vertices).

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Math Norms

17

Errors are gifts that promote discussion.

Answers are important, but they are not the math.

Talk about each other’s thinking.

Ask questions until ideas make sense.

Use multiple strategies and multiple representations.

SAN FRANCISCO UNIFIED SCHOOL DISTRICT

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LAUNCH

1

What shape is this? How do you know?

Tell someone else your ideas.

“It’s a_______ because______.”

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LAUNCH

1

This is a triangle because...

It has 3 sides.

Its sides are straight.

It has 3 corners.

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EXPLORE

2

Sort these shapes by dragging them to the correct box:

Triangle

Not a Triangle

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SUMMARIZE

3

Definition

Examples

Attributes

Non-examples

triangles

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SUMMARIZE

3

Definition

Triangles are shapes that have 3 sides a and 3 corners. They are closed.

Examples

Attributes

  • 3 sides
  • 3 corners
  • straight sides
  • closed

Non-examples

triangles

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Lesson 1: LS 1 Day 1

Whole Class or Groups: 2-D Shape Examples BLM .S. .C.

Notice and Wonder and defining attributes of Trapezoids and Rectangles.

Independent work: Exploring Shapes 1 BLM .S. .C. Frayer Model BLM .S. .C.

Jamboard (Spanish)Shape Sort and Gallery Walk

  • Students examine different shapes and sort them into groups of rectangles, trapezoids and other, by their attributes.

Whole Class or Groups:

Share screenshots of a few student Jams and discuss using the prompts:

I think it is a ...because… or I don’t think it’s a ...because…

Complete Frayer Models for both Trapezoids and Rectangles.

Core Math to Emphasize

  • Shapes are defined by their attributes. The defining attributes of a rectangle are that it is a closed shape with 4 straight sides and 4 square corners (vertices). The defining attributes of a trapezoid are that it is a closed shape with 4 straight sides and 4 vertices, and 2 of the sides look like railroad tracks (are parallel).

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Math Norms

24

Errors are gifts that promote discussion.

Answers are important, but they are not the math.

Talk about each other’s thinking.

Ask questions until ideas make sense.

Use multiple strategies and multiple representations.

SAN FRANCISCO UNIFIED SCHOOL DISTRICT

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LAUNCH

1

Notice and Wonder

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Which one is a rectangle?

LAUNCH

1

A Trapezoid is a four-sided flat shape with straight sides that has at least one pair of opposite parallel sides.

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Sort the shapes below where they belong.

Directions

EXPLORE

2

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  • I think this is a ________ because _______.
  • I don’t think this is a _____ because _____.

SUMMARIZE

3

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SUMMARIZE

3

Definition

Examples

Attributes

Non-examples

Trapezoids

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SUMMARIZE

3

Definition

Examples

Attributes

Non-examples

Rectangles

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Lesson 2: LS 1 Day 2

Whole Class or Groups:

Which one is a circle? Defining attributes of circles and squares

Circle Scavenger Hunt

Independent work: Exploring Shapes 2 BLM .S. .C. , Frayer Model BLM .S. .C.

Jamboard (Spanish) Shape Sort #2 and Gallery Walk

  • Students examine different shapes and sort them into groups of circles, squares, and other, by their attributes.

Whole Class or Groups:

Share screenshots of a few student Jams and discuss using the prompts:

I think it is a ...because… or I don’t think it’s a ...because…

Complete Frayer Models for both Circles and Squares.

Core Math to Emphasize

  • Shapes are defined by their attributes. The defining attributes of a circle are that it is a closed shape with 1 evenly curved side. The defining attributes of a square are that it is a closed shape with 4 straight sides of the same length and 4 square corners.

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Which one is a circle?

LAUNCH

1

A Square is a four-sided flat shape with straight sides where all the sides have equal length and every vertex is a right angle.

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Circle Scavenger Hunt...

LAUNCH

1

Look for things in your house or neighborhood that are circles.

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Sort the shapes below where they belong.

EXPLORE

2

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  • I think this is a circle because _______.

  • I don’t think this is a circle because _____.

SUMMARIZE

3

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SUMMARIZE

3

Definition

Examples

Attributes

Non-examples

Circle

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SUMMARIZE

3

Definition

Examples

Attributes

Non-examples

Squares

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Lesson 3: LS 2 Day 1 & 2

Whole Class or Groups: Talk to students about sharing snacks with a friend. If they have 2 of something, then it’s easy to share. But if they only have 1 brownie (square piece of food) for example, how do they share it?

Independent work: Equal Shares Seesaw (Spanish)

  • Students experiment with partitioning squares into halves
  • Students experiment with partitioning circles and rectangles into halves.

Whole Class or Groups:

What’s the Same What’s Different? Share 2-3 student work samples.

Core Math to Emphasize

  • Squares can be partitioned into 2 equal shares called halves in more than one way.
  • Circles can be partitioned into 2 equal shares called halves in more than one way.

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How can I share this brownie with my brother?

LAUNCH

1

Tell someone your idea.

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How can I share this brownie with my brother?

LAUNCH

1

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What is a half?

LAUNCH

1

One half of a square

Two halves of a square

Two equal shares!

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How can I share this cookie with my bestie?

LAUNCH

1

Tell someone your idea.

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Halves Not Halves

LAUNCH

1

  • I think these are halves _____ because _______.
  • I don’t think these are halves_____ because _____.

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Seesaw Equal Shares

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What’s the same? What’s different?

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Lesson 4: LS 3 Day 1

Whole Class or Groups:

Launch: The Greedy Triangle by Marilyn Burns, or video reading of the book (https://tinyurl.com/y9nwlyhg)

Independent work: Shape Puzzles BLM .S. .C.

Explore: Seesaw Shape Puzzles

Students use the shape tool to access the pattern blocks and create the shapes puzzles.

  • Students use pattern blocks to compose larger shapes from smaller shapes.

Whole Class or Groups:

Summarize: Use actual student work or samples provided to show students two different compositions of the same ending shape. Have students discuss how they are different. Discuss why they are still the named shape. Refer to the Frayer Model definitions to discuss the defining attributes of the shape.

Core Math to Emphasize

  • Shapes can be composed into new larger shapes.

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LAUNCH

1

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Seesaw Shape Puzzles

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Lesson 5: LS 3 Day 2

Whole Class or Groups: Seesaw Pattern Block Design Have students create the picture of their choice using up to 3 types of pattern blocks. They may use as many of those 3 types of pattern blocks as they like.

Independent work: Students wonder how many of each type of pattern block they used, which block they used the most of or the fewest of. Ask students how they might find out the answer to their wonderings. Have students rearrange the blocks in their designs to make counting easier.

  • Students create a picture with 3 different pattern blocks, then count and compare the quantities of the blocks.

Whole Class or Groups:

Use the sample or Insert slide of a student who has organized their blocks that makes comparison difficult, as has been done in Example #1. Insert slide of a student who has organized their blocks in rows or columns to share with the class. Ask students which type of block there are the most of, fewest of, etc., and how they know. Ask students what is easy for them to see and what is hard. Core Math to Emphasize: Organization can obscure or make clear answers to questions about data.

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LAUNCH

1

Use any 3 pattern block shapes to create a picture.

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Name:

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Rearrange your blocks to make them easier to count.

I wonder how many of each shape I used in my picture?

I have the most...

I have the fewest...

I have the same...

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Rearrange your blocks to make them easier to count.

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Name:

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There are_________fewer/more____________ than _____________ .

Number Shape Shape

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Milestone Task

Whole Class or Groups: Tell students that they will be showing you what they have learned about shapes. Ask them to name all the shapes they have learned about and annotate the names of the shapes on the slide. Remind students what attributes define a shape and what constitutes a non-example. Practice the frames: I know this is a ...because…. I know this isn’t a ...because…

Independent work: Shape Sort BLM, Shape Sort .S. .C Seesaw Shape Sort

Use the shape tool to select a shape and RECORD how you know using the sentence frame: I know this is a ...because….

Use the shape tool to select a non-example of that shape and RECORD how you know using the sentence frame: I know this isn’t a ...because…

  • Students choose a shape category, sort a variety of shapes into that category, create one non-example, then repeat with a new category.

Whole Class or Groups:Shape Sort Example Teacher

Share student work or Teacher example to discuss core math concepts.

Core Math to Emphasize: Shapes have defining attributes. Shapes can be created based on their attributes.

  • Shape Sort Rubric Teacher

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LAUNCH

1

Choose two shapes

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Definition

Triangles are shapes that have 3 sides a and 3 corners. They are closed.

Examples

Attributes

  • 3 sides
  • 3 corners
  • straight sides
  • closed

Non-examples

triangles

LAUNCH

1

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SAN FRANCISCO UNIFIED SCHOOL DISTRICT

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SAN FRANCISCO UNIFIED SCHOOL DISTRICT

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Shape Sort

Look for student’s current understanding of the core math:

Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes.

Use the Milestone task as formative assessment to determine potential areas for re-engagement during the next unit. Shape Sort Rubric Teacher

SUMMARIZE

3

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