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Making Shapes and Designing Quilts - Pflugerville ISD

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Making Shapes and Designing Quilts - Pflugerville ISD

    Making Shapes and Designing Quilts

    Unit 2 st 1 grade

    2-D Geometry

Lesson Summary, Student Sheets, and TEKS addressed:

    Investigation 1: Composing and Decomposing 2-D shapes

Mathematical Emphases:

    Features of Shape: Describing, Identifying and comparing 2-D Shapes

    Math Focus Points:

    ; Noticing shapes in the environment

    ; Describing, comparing and naming 2-D shapes

    ; Developing visual images of and language for describing 2-D shapes. Features of Shape: Composing and decomposing 2-D shapes

    ; Covering a region without gaps or over laps using multiple shapes

    ; Decomposing shapes in different ways

    ; Finding different combinations of shapes that fill the same area

    ; Examining how shapes can be combined to make other shapes

    ; Altering designs to use more or fewer pieces to cover the same space.

*Additional Focuses: Counting a set of objects, finding the sum of multiple addends with

    small numbers.

Session 1.1 What Shapes do you see? Pages 24- 29

    TEKS- 1.6A

Manipulative materials needed for session:

    ? Pattern Blocks (class set)

    ? Glue (1 per student)

Materials to prepare:

    ? Masters M3-M4 (Paper Shape Cutouts: copy and cut out shapes A-D, glue on a

    poster and keep through unit.)

    ? Maters M6-M11 (Pattern Block Cutouts: Cut out the individual shapes. Keep the

    paper patterns blocks to use throughout the unit.)

    ? Master M12 (Pattern Block Fill In: Make copies)

    ? Masters M 17-18 (Family Letter: Make copies)

    ? Student Activity Book- Pages 1-2

    ? Student Math Handbook- page 70

The students will learn to describe and find examples of familiar shapes. They fill in the

    outlines of Pattern Block Fill-Ins with pattern block shapes and record the number of each shapes and the total number of blocks they used.

Session 1.2 Same Shape, Different Pieces, Pages 30-35

    TEKS-1.6D

    stMath Investigation Unit Summary, 2008, 1 GRADE, UNIT # 2

    Making Shapes and Designing Quilts

    Unit 2 st 1 grade

    2-D Geometry

Manipulative materials needed for session:

    ? Shape posters square, circle, triangle and rectangle from 1.1

    ? Glue

    ? Overhead Pattern Blocks

    ? Materials for Blocks fill ins (from 1.1)

Materials to prepare:

    ? Master M5 (Paper Shape Cut-outs: Copy and cut out shapes E-F. Make shape

    posters by gluing shape onto a sheet of chart or construction papers. Keep to use

    throughout the unit)

    ? Master M19 (Fill the Hexagons Gameboard)

    ? Master M 20 (Fill the Hexagons: make copies as needed)

    ? Transparency T13, Fill the Hexagons

    ? Pattern-block cubes (Draw 1 yellow hexagon, 1 red trapezoid, 2 blue rhombus and

    2 green triangles, each on a stick on dot and place on a side of a block number

    cube- 2 per pair)

    ? Student Activity Book- Pages 3-11

    ? Student Math Handbook- pages 74-75; G8

    Students will learn to find different combinations of shapes to fill the same outlined shape. They create their own pattern-block designs by using a set number of pattern blocks.

Session 1.3 Quick Images with Shapes, Pages 36-43

    TEKS- 1.6A

Manipulative materials needed for session:

    ? Materials for Block Fill in-Ins (1.1)

    ? Materials for Fill the Hexagons (1.2)

    ? Materials for Pattern H Block Counts (1.2)

    ? Computers with Shapes Software

    ? Counters

Materials to prepare:

    ? Shapes software (install)

    ? Transparencies T14-16, Shape Cards (cut shapes apart)

    ? Student Activity Book- Pages 3-10; 12-13

    ? Student Math Handbook- page 74-75

    Students will learn to draw and describe shapes with Quick Images. Students are introduced to the Shapes software. Math Workshop continues to focus on composing and decomposing shapes in a variety of ways. The session ends with a discussion about counting pattern blocks.

    stMath Investigation Unit Summary, 2008, 1 GRADE, UNIT # 2

    Making Shapes and Designing Quilts

    Unit 2 st 1 grade

    2-D Geometry

Session 1.4 Ways to make Pattern-Block Shapes, Pages 44-47

    TEKS-1.6D

Manipulative materials needed for session:

    ? Materials for Block Fill-Ins (1.1)

    ? Materials for Fill in the Hexagons (1.2)

    ? Materials for Pattern H Block Counts (1.2)

    ? Chart Paper on poster board

    ? Computers with Shapes Software

Materials to prepare:

    ? Student Activity Book- Pages 3-10; 15-17

    ? Student Math Handbook- page 80

Students will learn to find as many different ways as they can to compose the rhombus,

    the trapezoid and the hexagon, using pattern-block shapes. They discuss the largest and

    smallest number of clocks they can use to make the hexagon.

Session 1.5 Three Ways to Fill an Outline, Pages 48-53

    TEKS-1.6D

Manipulative materials needed for session:

    ? Paper pattern blocks

    ? Pattern blocks

    ? Glue (as needed)

Materials to prepare:

    ? Master M24 (Different Ways to Fill, Shape A: Make copies as needed)

    ? Transparency T17 (Different Ways to fill, Shape A)

    ? Student Activity Book- Pages 18-20

    ? Student Math Handbook- page 81

Students will learn to fill an outline with pattern blocks in three different ways, using

    their knowledge of how to compose and decompose pattern-block shapes. They discuss

    how to fill the same outline with the smallest and largest number of blocks.

Session 1.6 Filling with More and Fewer, Pages 54-60

    TEKS- 1.6D

Manipulative materials needed for session:

    ? Drawing Paper (1-2 sheets per students)

    ? Shapes Software

    stMath Investigation Unit Summary, 2008, 1 GRADE, UNIT # 2

    Making Shapes and Designing Quilts

    Unit 2 st 1 grade

    2-D Geometry

    ? Paper pattern blocks (from session 1.1 as needed)

    ? Pattern blocks (1 bucket for 6-8 students)

    ? Geoboards (enough for about 1/3 of the class)

    ? Rubber bands (as needed)

    ? Glue (as needed)

    Materials to prepare:

    ? Master M26 (Quick Images: make copies for 1 per student)

    ? Master M 27 (Shapes for Quick Images: make copies for 1 per student)

    ? Masters M 21-23, (Shape cards: Make copies as needed)

    ? Transparency T 18 (Combination Shape Cards: cut the shapes apart)

    ? Student Activity Book- Pages 21-24

    ? Student Math Handbook- page 80

    Students will learn to develop visual images and language for describing shapes as they do Quick Images with shapes and combination shapes. Students are introduced to a new software activity, Puzzles. During Math Workshop, students fill in outlines of shapes first with a few pattern blocks and then with many blacks. They also explore Geoboards.

Session 1.7 Assessment: Many ways to Fill a Hexagon, Pages 61-64

    TEKS-1.6D

Manipulative materials needed for session:

    ? Paper pattern blocks (1.1)

    ? Pattern blocks

    ? Glue

    ? Crayons

    ? Shapes software

    ? Geoboards (enough for about one third of the class)

    ? Rubber bands

Materials to prepare:

    ? Master M28 (Assessment: Many ways to fill a Hexagon: Make Copies for 1 per

    students)

    ? Master M29 (Filling with More and Fewer- Shape B: Make copies as needed)

    ? Transparency T19 (Filling with More and Fewer-Shape B)

    ? Student Activity Book- Pages 21-23; 25

    ? Student Math Handbook- page 80

    Students will be assessed to find as many different ways as possible to fill in a hexagon shape. They discuss how to fill in the shape outline with the fewest shapes and the most shapes.

Investigation 2: Describing and Sorting Shapes

    stMath Investigation Unit Summary, 2008, 1 GRADE, UNIT # 2

    Making Shapes and Designing Quilts

    Unit 2 st 1 grade

    2-D Geometry

Mathematical Emphases:

    Features of Shape: Describing, Identifying and comparing

    Math Focus Points:

    ; Identifying common attributes of a group of shapes

    ; Describing, comparing, and naming 2-D shapes

    ; Developing visual images of and language for describing 2-D shapes

    ; Identifying characteristics of triangles and quadrilaterals

    ; Identifying and making triangles and quadrilaterals of different shapes and sizes

    ; Recognizing that there are many types of quadrilaterals (e.g. rectangles,

    trapezoids, squares, rhombi)

Session 2.1 Making a Shape Poster, Pages 70-76

    TEKS- 1.6A

    Manipulative materials needed for session:

    ? Large paper

    ? glue

    Materials to prepare:

    ? Masters M21-23 (Make copies and cut apart. If possible, make sets on different-

    colored paper: 1set per pair)

    ? String (Cut a 12-foot length of string)

    ? Student Activity Book: pg 26-28

    ? Student Math Handbook: 76-77, 78-79;G12

Students will learn to classify and describe 2-D shapes by playing Guess My Rule. They

    sort a set of shape cards and make a poster that shows and names their groups of shapes.

Session 2.2 Describing Triangles, Pages 77-84

    TEKS-1.6A

    Manipulative materials needed for session:

    ? Shape Poster: Triangle (1.1)

    ? Power Polygons (1 small set per student)

    ? Geoboards (enough for 1/3 of the class)

    ? Rubber Bands

    ? Rulers

    ? Crayons

    ? Students sorted Shape Cards

    ? Large (2.1)

    ? Glue

    ? Computers with Shapes Software

    ? Books about quilts and quilting

    stMath Investigation Unit Summary, 2008, 1 GRADE, UNIT # 2

    Making Shapes and Designing Quilts

    Unit 2 st 1 grade

    2-D Geometry

Materials to prepare:

    ? Masters 31-32 (Family Letter: Make copies)

    ? Transparency T20 (Dot Paper)

    ? Student Activity Book- Pages 29-30

    ? Student Math Handbook- page 72

Students will learn to find triangles in the Power Polygon set, describe triangles and make

    triangles using geoboards and dot paper.

Session 2.3 Describing Quadrilaterals, Pages 85-89

    TEKS-1.6A

    Manipulative materials needed for session:

    ? Power Polygons (1 per group)

    ? Chart paper

    ? Geoboards (enough for 1/3 of the class)

    ? Rubber bands

    ? Rulers

    ? Crayons

    ? Computers with Shapes software

    ? Students completed shape posters

    Materials to prepare:

    ? Master M30 (Dot Paper: Make copies)

    ? Masters M33-34 (Family Letter: 1 per students)

    ? Chart: (Quadrilaterals: title piece of chart paper quadrilaterals. Under the title,

    write “Shapes with 4 strait sides that are connected”. Leave enough space to draw

    a variety of quadrilaterals)

    ? Student Activity Book- Pages 29, 31

    ? Student Math Handbook- page 72, 73

Students will learn to find quadrilaterals in the Power Polygon set and describe the

    similarities and differences among the quadrilaterals. In Math Workshops, they sort

    shapes and make triangles and quadrilaterals.

Session 2.4 Comparing Shapes, Pages 90-94

    TEKS-1.6A

    Manipulative materials needed for session:

    ? Shapes poster: “Triangle and “Square” (1.1)

    ? Shape cards (2.1)

    ? Computers with Shapes software

    ? Power polygons (1 small set per group)

    stMath Investigation Unit Summary, 2008, 1 GRADE, UNIT # 2

    Making Shapes and Designing Quilts

    Unit 2 st 1 grade

    2-D Geometry

    ? Geoboards (enough for 1/3 of the class)

    ? Rubber bands

    ? Rulers

    ? Crayons

    Materials to prepare:

    ? Master M30 (Dot Paper: make copies)

    ? String (cut 12-foot length of string)

    ? Student Activity Book- Pages 29,32

    ? Student Math Handbook- page 74-75

They students will learn to describe and compare a right triangle and a square and then

    determine the common attributes of a set of shapes by playing Guess My Rule. They are introduced to a version of Quick Images on the Shapes software. In Math Workshop, they continue to sort shapes and construct triangles and quadrilaterals.

Session 2.5 Assessment: What is a Triangle? Pages 95-100

    TEKS- 1.6A

    Manipulative materials needed for session:

    ? Shape Cards

    ? Large Paper

    ? Power Polygons

    ? Geoboards

    ? Rubber Bands

    ? Rulers

    ? Crayons

    ? Computers with Shapes Software

    Materials to prepare:

    ? Master M35 (Assessment Checklist: What is a Triangle?: Make copies to list

    everyone in class)

    ? Master M30 (Dot Paper: Make copies as needed)

    ? Student Activity Book- Pages 29, 33

    ? Student Math Handbook- page 72, 74-75

The students will learn to discuss common features of triangles. An individual assessment

    of what students know about triangles takes place while students continue Math

    Workshop.

    Investigation 3: Describing and Sorting Shapes Mathematical Emphases:

    Features of Shape: Describing, Identifying and comparing 2-D Shapes

    Math Focus Points:

    ; Describing, comparing and naming 2-D shapes

    stMath Investigation Unit Summary, 2008, 1 GRADE, UNIT # 2

    Making Shapes and Designing Quilts

    Unit 2 st 1 grade

    2-D Geometry

    ; Identifying common attributes of a group of shapes

    Features of Shape: Describing, Identifying and comparing 2-D Shapes

    Math Focus Points:

    ; Seeing relationships between squares and triangles

    ; Examining how shapes come together to make other shapes

    ; Finding different combinations of shapes that fill the same area

    ; Decomposing shapes in different ways

* Additional focuses- using repeated unit to create a pattern and seeing how changing the

    unit affects the whole pattern

    Session 3.1 Desigining a Quilt Square, Pages 104-107 *Session 3.1 and 3.2 can be combined into one day.

TEKS- 1.6D

Manipulative materials needed for session:

    ? Children’s literature about quilts

    ? Books with quilt patterns

    ? Overhead markers in two colors

    ? Crayons, markers

    ? Computers with Shapes software

    Materials to prepare:

    ? Transparency T21 (Quilt square A as shown on p. 106)

    ? Quilt Display (make a display in the classroom of the quilt examples that students

    have brought in and books about quilts or quilting.

    ? Student Activity Book- Pages 34-35

    ? Student Math Handbook- page 82

Students will read a book about quilts and discuss the patterns and shapes they notice in

    quilts. They design quilt squares, using different combinations of triangles and squares.

Session 3.2 Creating a Quilt Pattern, Pages 108-112

    TEKS-1.6D

Manipulative materials needed for session:

    ? Overhead markers in two colors

    ? Crayons or markers

    ? Computers with Shapes software

    Materials to prepare:

    ? Master M 36 (Quilt Squares: Make copies)

    stMath Investigation Unit Summary, 2008, 1 GRADE, UNIT # 2

    Making Shapes and Designing Quilts

    Unit 2 st 1 grade

    2-D Geometry

    ? Masters M27 to M42 (Paper Quilt A-F: make copies so that every students can

    make at a least one paper quilt. The exact number of copies of each page depends

    on students’ choices.)

    ? Transparency T22 (Paper Quilt A: Color in the top left square as shown on page

    109)

    ? Quilt frames (cut a square hole in the center of an index card, making the hold

    slightly larger than 2 inches on each side- 10 to 12)

    ? Student Activity Book- Pages 34; 36-37

    ? Student Math Handbook- page 82

Students will choose their favorite quality square design and begin creating one or more

    paper quilts by repeating their designs.

Session 3.3 Sharing Quilts, Pages 113-116

    TEKS-1.6A, 1.6D

Manipulative materials needed for session:

    ? Crayons or makers

    ? Quilt frames

    ? Computers with Shapes Software

    ? Students completed paper quilts

    ? Chart paper

    Materials to prepare:

    ? Masters M37-42, Paper Quilt A-F

    ? Student Activity Book- Pages 34, 39

    ? Student Math Handbook- page 82

The students will learn to find quadrilaterals in the Power Polygon set and describe the

    similarities and differences among the quadrilaterals. In Math Workshop, they sort shapes

    and construct triangles and quadrilaterals.

Session 3.4 End of the Unit Assessment, Pages 117-119

    TEKS-1.6

Manipulative materials needed for session:

    ? Paper pattern blocks (1.1)

    ? Markers or crayons

    ? Scissors (1 per student)

    ? Glue (1 per student)

    Materials to prepare:

    ? Masters

    ? Transparencies

    ? Student Activity Book- Pages 1-2

    stMath Investigation Unit Summary, 2008, 1 GRADE, UNIT # 2

    Making Shapes and Designing Quilts

    Unit 2 st 1 grade

    2-D Geometry

    ? Student Math Handbook- page 70

Students will finish working on their paper quilts. They discuss how the smaller shapes in

    their quilts combined to make other shapes.

    stMath Investigation Unit Summary, 2008, 1 GRADE, UNIT # 2

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