Integrated Mathematics/Science Unit

Elementary Science Leadership Institute

Summer 1995

 
Teachers:
Marilyn Barr
Hugh (Chuck) Russell
Theresa Potts
 
Name of topic: Shapes and Their Relationship to Our World
 
Grade: Kindergarten
 
Goals: Students will understand that:
Shapes are important in our world and environment
Shapes can be identified visually and reproduced tactically
Shapes can be identified within shapes of animals, objects, and other things
 
Objectives: Listed below in benchmarks and standards
(National Science Benchmarks:)
Students will identify circles, squares, triangles, and other shapes found in things that people build. Patterns and Relationships (2A)
Students can make patterns by putting different shapes together or taking them apart. Patterns and Relationships (2A)
Students will use numbers and shapes to tell about things.Mathematical Inquiry (2C).
Students will learn that shapes such as circles, squares, and triangles can be used to describe many things that can be seen. Shapes (9C).
Students will identify, match, reproduce shapes with given shapes (circle, square, triangle, and rectangle). Shapes (9C).
Students will match terms with given shapes. Shapes (9C).
 
(National Science Standards:)
Content Standard A (K-4) (Science As Inquiry)
Content Standard B (K-4) (Physical Science)
Content Standard E (K-4) (Science and Technology)
Assessment Standard A- Coordination with intended purposes: Assessments are consistent with the decisions they are designed to inform.
Assessment Standard B- Measuring Student achievement and opportunity to learn: Achievement and opportunity to learn science must both be assessed.
Assessment Standard D- Avoiding Bias: Assessment practices must be fair.
 
(National Mathematics Standards:)
Problem Solving (1)
Communication (2)
Reasoning (3)
Connection (4)
Estimation (5)
Number sense, numeration (6)
Geometry and spacial sense (9)
Statistics and probability (11)
Fractions (12)
Patterns and relationships (13)
 
Tennessee Science Benchmark(s)
Process of Science
Observing (1.1)
Questioning (1.2)
Collecting Data (1.3)
Analyzing (1.4)
Explaining (1.5)
Communicating (1.6)
Habits of Mind
Estimation and computation (3.3)
 
 
Summary of instruction used to build Knowledge Base:
 
Contextual Science Activities (deductive, inductive, discrepant events, role-playing, etc)
 
Below is a flow chart of activities listed in the order that would be taught concerning shapes.
1. Introduction of Circles
(activity sheet attached)
2. Introduction of Squares
(activity sheet attached)
3. Introduction of Triangles
(activity sheet attached) Story of triangle- A Triangle Tale Paper fold a square into a triangle. Use color paper squares, cut one into four triangles and duplicate pattern quilts for child to model for each other.
4.Introduction of Rectangles
Feely Bag- Child reaches in bag that is filled with all four shapes and tries to identify the shape (rectangle) that is different (not previously taught).
Train Game- Using attribute blocks, children take turns adding a shape to the train changing 1, 2, or 3 attributes verbalizing the different attributes.
5. Integrated Activity Shapes on Animals
Child sorts animal cards / sticks according to the shape they see in the animal's body using sorting mats. Then, they classify the animal by placing the card / sticks in the environment that animal lives in. The two habitats used will be the ocean and the exotic or wild.
6. Other Activities
Tangrams- After children have a knowledge base of the four basic shapes, they can work individually or in small groups and complete pictures using tangram pieces.
 
 
Straw Shape Mobiles- Child uses straws to form triangles, rectangles, and squares The Circle can be made by tracing a large circle shape such as a lid to a plastic container, etc. and attached to the top of the mobile.
 
Pattern Blocks- As an extension, the child would use these for copying designs, patterns, games, problem solving, and graphing.
 
Pentominoes- The child will be able to recognize the pentomino even when it is rotated or flipped. The child will also learn to fold pentominoes to make boxes.
 
Major Materials/equipment requirements:
Attribute blocks
Pattern blocks
Tangrams
Pentominoes
Scrap paper/ glue
Flannel board
Feely bag
Shaped journal
Three dimensional shapes
Habitat drawings
Craft sticks, clay, sorting mats, animal stickers, and index cards
Flexible straws, clear tape, tagboard, yarn and paper clips.
 
Capstone Activity - PERFORMANCE ASSESSMENT TASK(i.e. Scenario)
The class has been asked to make pictures to display in the lobby of a hotel, one of our Partners in Education. Each child is to make a picture using each shape taught (square, circle, rectangle, and triangle). Then the child will make a border around the picture depicting a pattern. After completing the picture, the child tells the teacher about the picture using terms taught. The teacher uses a checklist to assess the child's understanding of each of the four shapes.
 
Assessment for Performance Assessment Task:
Name Reproduces Names Name a place Describes Pattern
Cir Sq Tri Rec Cir Sq Tri Rec Cir Sq Tri Rec Cir Sq Tri Rec
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
 
In scoring, a sticker indicates that the child could reproduce, name, name a place the shape can be found, or describe all of the shapes. (a sticker would be placed under each column) The column, describing the shapes would be considered extra credit since this skill is not required in kindergarten. In the last column the child would be asked to make a pattern on the border of their picture. The teacher would write (draw) the shape(s) in each column after each child's name that did not master the skill.
 
Scoring Rubric:
9-12 points Rectangle
5-8 points Angle
1-4 points Line Segment
 
 
Activities with Circles:
Introduction of unit with story, Spilt Milk
Have children write in journals about circles
Bring to school from home a circle to tell about in group share time
Make pictures with circles
Match circles to worksheet (one size of circle)
Match circles to worksheet (three sizes of circles)
Story of circles
Circle hunt in classroom
Circle hunt in school
Circle hunt on playground
Circle hunt on walk in wooded area
Art prints using natural material with circles
Write class story of circles in group
Find circles in feely bags or cans and describe
Circles,cylinders, and spheres
Classifying, sorting, and graphing circles
Collages with circles
 
Activities with Squares:
Have children write in journals about squares
Bring to school from home a square to tell about in group share time
Make pictures with squares
Match squares to worksheet (one size of square)
Match squares to worksheet (three sizes of squares)
Story of squares
Square hunt in classroom
Square hunt in school
Square hunt on playground
Square hunt on walk in wooded area
Art prints using natural material with squares
Write class story of squares in group
Find squares in feely bags of cans and describe
Squares and cubes
Classifying, sorting, and graphing squares
Collages with squares
Make a square with pentominoes
 
Activities with Triangles:
Have children write in journals about triangles.
Bring to school from home a triangle to tell about in group time
Make pictures with triangles
Match triangles to worksheet (one size of triangle)
Match triangles to worksheet (three sizes of triangles)
Story of triangles
Triangle hunt in classroom
Triangle hunt in school
Triangle hunt on playground
Triangle hunt on walk in wooded area
Art prints using natural material with triangles
Write class story of triangles in group
Find triangles in feely bags or cans and describe
Triangles and pyramids
Classifying, sorting, and graphing triangles
Collages with triangles
Make quilt squares using triangles
 
Activities with Rectangles:
Have children write in journals about rectangles
Bring to school from home a rectangle to tell about in group share time
Make pictures with rectangles
Match pictures with rectangles
Match rectangles to worksheet (one size of rectangle)
Match rectangles to worksheet (three sizes of rectangles)
Story of rectangles
Rectangle hunt in classroom
Rectangle hunt in school
Rectangle hunt on playground
Rectangle hunt on walk in wooded area
Art prints using natural material with rectangle
Write class story of rectangles in group
Find rectangles in feely bags or cans and describe
Rectangles, cubes, and boxes
Classifying, sorting, and graphing rectangles
 
Resources:
Burns, Marilyn, The I Hate Mathematics Book! Little, Brown, and Company, Boston, 1975.
Childcraft - Volume 13 Math, 1981.
Goodnow, Judy, Math Discoveries with Tangrams, K-1, Ideal
School Supply, Oak Lawn, Illinois, 1994.
Hoogeboom, Shirley, Math Discoveries with Pattern Blocks, Ideal School Supply, Oak Lawn, Illinois, 1994.
Learning Resources, Tangramables, Deerfield, Illinois, 1990.
Martin, Bill Jr., Brown Bear, Brown Bear.
Martin, Bill Jr., Sounds of Home, Holt, Rinehart and Winston, Inc., New York, 1966.
Mogard, Sue and Marilyn Trow, Window to Tangrams, American Teaching Aids, Minneapolis, Minnesota, 1992.
Matter - Science Place, Kit by Scholastic for Kindergarten.
Perl, Teri, Alphagrams, Cuisenaire, New Rochelle, N.Y. 1979.
Read, Ronald C., Tangrams - 330 Puzzles, Dover Publications,
Mineola, N.Y.
Seymour, Dale., Primary Math 2, Publications, Palo Alto, CA, 1982.
Shaw, Charles., It Looked Like Spilled Milk.
 

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