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Bucket Ball: Fun with Fractions -TIU Enrichment Lesson

Lesson Plan

Bucket Ball: Fun with Fractions -TIU Enrichment Lesson

Grade Levels

2nd Grade, 3rd Grade

Course, Subject

Mathematics
  • Big Ideas
    Numbers, measures, expressions, equations, and inequalities can represent mathematical situations and structures in many equivalent forms.
    Numerical quantities and calculations can be estimated by using numbers that are close to the actual values, but easier to compute.
    Patterns exhibit relationships that can be extended, described, and generalized.
    Two- and three-dimensional objects can be described, classified, and analyzed by their attributes, and their location can be described quantitatively.
    Mathematical relationships among numbers can be represented, compared, and communicated.
    Mathematical relationships can be represented as expressions, equations, and inequalities in mathematical situations.
    Numerical quantities, calculations, and measurements can be estimated or analyzed by using appropriate strategies and tools.
  • Concepts
    Fractions and decimals: Develop basic understandings
    Perimeter: Units, tools, strategies to measure
    Fractions
  • Competencies
    Develop an understanding of multiplication and division of whole numbers by building on knowledge of the base ten system/operations and through the use of representations (e.g., equal-sized groups, arrays, area models, equal "jumps" on number lines, successive subtraction, partitioning, and sharing) in order to describe relationships, make estimations, and solve problems.
    Develop an understanding of the size, meaning, and uses of fractions to represent parts of a whole, parts of a set, or points/distances on a number line, and that fractions are used to represent numbers that are equal to, less than, or greater than one
    Compare fractions with the same numerator or same denominator.
    Develop an understanding of fractions as numbers.
    Represent and generate equivalent fractions.
    Represent fractions on a number line.

Rationale

This lesson was written to provide students with a solid foundation in fractions. It is necessary to understand how to write, compare and identify fractional parts of a whole. This lesson will give the students an opportunity to work with fractions in a fun, hands-on way.

Vocabulary

 

Numerator:  The top number in a fraction.  (This shows parts of a whole.)   EX:   2/5     The number 2 is the numerator.

Denominator:  The bottom number in a fraction.  (This shows the number of equal parts a shape/object is dividing into.)   EX:  2/5   The number 5 is the denominator.

Common Denominator:  This is when the denominator of two different fractions is the same number. It is necessary to find a common denominator when adding fractions.  EX:  4/5 and 3/5  have the same denominator.  The denominator is the number 5.

Comparing Fractions:  Using two or more fractions, identifying the larger/smaller fraction.  EX:  4/5 is greater than 3/5

Objectives

  • Students will identify parts of a fraction.  (numerator, denominator)
  • Students will compare fractions with like denominators.
  • Students will say/write/draw fractions correctly.

Lesson Essential Question(s)

How are relationships represented mathematically?
How can mathematics support effective communication?
How is mathematics used to quantify, compare, represent, and model numbers?
What does it mean to estimate or analyze numerical quantities?
What makes a tool and/or strategy appropriate for a given task?
  • What is a fraction?  Why do we use fractions?
  • How do you represent a fraction?
  • How do you compare fractions with like denominators?
  • Why is it important to understand how to compare fractions?

Duration

This lesson will take approximately one 40 minute period.

Materials

  • 4 buckets
  • 4  balls
  • Worksheet-Bucket Ball
  • 2 large circles cut into 8 pieces (The circles will be layered.  The bottom layer of the circle will have 8 equal pieces drawn them.  The top layer will have the 8 equal parts cut out.)
  • dry erase boards

Suggested Instructional Strategies

W: WHERE/WHY/WHAT

This lesson is most appropriate for students who have a beginning knowledge of fractions. The students will be able to reinforce their knowledge of numerators, denominators and comparing fractions with like denominators in a fun, cooperative setting.

H: HOOK

The students will enjoy taking part in a basketball-type activity.  By relating basketball to fractions, students will be able to make a connection between mathematics/fractions to the real-world. 

 

E: EXPLORE/EXPERIENCE/EQUIP

Students will be able to take part in a sport/game while identifying numerators and denominators.  They will have the opportunity to compare their score (fraction) to others to determine the winning contestant.

 

R: RETHINK/REHEARSE/REVISE/REFINE

While computing their individual scores, students will be utilizing their prior knowledge of fractions (numerators, denominators and the comparison of fractions) and relating it to the real sport.

 

E: EVALUATE

 

Students will be both formally and informally assessed throughout the lesson. The students will be informally assessed via teacher observation throughout guided dry erase activity and the "Bucket Ball".  The students will be formally assessed at the end of the lesson via the "Bucket Ball" comparison worksheet.

T: TAILORED

This lesson is appropriate for a second/third grader who has prior knowledge of fractions.  Throughout the lesson the students will have the chance to self-reflect on their knowledge of fractions while correctly representing and comparing the fractions.

O: ORGANIZED

 

The lesson/bucket ball activity is organized using a gradual release model.  The teacher will begin with whole group direct instruction.  From there, the students will move to guided instruction, group work, and close with individual work. (direct instruction, guided instruction, group work, and independent work)

Instructional Procedures

  1. Direct Instruction:  The teacher will use 2 large circles cut into 8 equal pieces.  The teacher will show the students the fractional parts of the circle (1/8, 2/8, 3/8, etc.).  The teacher will define numerator and denominator. The teacher will have the class identify the numerators, denominators and name the different fractions.  The teacher will remove fractional parts of the circle and have the students compare which circle is larger and smaller. 

 

  1. Guided Instruction: The teacher will show different fractions on the circles.  Students will write the fractions on the dry erase boards for an every pupil response.

 

  1. Group Activity:  Teacher will place the students into four groups.  Each group will have a bucket and a ball.  Students will take turns throwing the ball into the bucket.  They will each throw the ball 8 times. They will then record the fraction on the group tally sheet. (Each student will have a tally sheet to record EVERY MEMBER of the group's score.  This will provide the student with extra practice identifying and writing fractions.)

 

  1. After each student in the group has recorded all bucket ball scores, they individually will draw a model of each. (See example on worksheet).  The students will then individually circle the highest score (the largest fraction). 

 

  1. Teacher will then ask the students to identify the highest scores from each group.  The class will compare the results to find a classroom winner.

 

  1. Teacher will collect all Bucket Ball Papers for grade.

 

Formative Assessment

Related Materials & Resources

Additional Website

http://www.coolmath4kids.com/fractions/index.html

 

This website can be used for enrichment and extra practice for all areas of fractions, from setting the foundation of fractions to adding/subtracting fractions.

 

 

http://www.abcya.com/fraction_fling.htm

 

This website allows students to create and represent fractions in a fun way.  Students will enjoy flinging rocks at the correct fractions.

 

Advanced Students:

Students needing a challenge may work in groups creating their own game using fractions with denominators up to 8.  The student-designed products may be used in the class for stations or during free time.

Author

Kelly Flemm

Date Published

July 08, 2014
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