# Fractions In Action! Dawn Jesse

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1 Fractions In Action! Dawn Jesse

2 Fractions In Action Dawn Jesse Fractions In Action is an interactive activity that consists of direct instruction, cooperative learning and is inquire based. As the students explore and manipulate pattern blocks they will develop an understanding of fractions as parts of a unit whole. The students will have the experience to generate equivalent forms of fractions with the use of pattern blocks as they model and judge the size of fractions. Subject: Mathematics Grade: 4th Lesson: Fractions NYS Mathematics Science, and Technology Standard: Standard 3 4.N.8 Students will recognize and generate equivalent fractions (halve, fourths, thirds, fifths, sixths, and tenths) using manipulatives, visuals, models, and illustrations. 4.N.9 Students will use concrete materials and visual models to compare and order unit fractions or fractions with the same denominator. 4.PS.13 Students will work in collaboration with others to solve problems. Content Strands: Number Sense and Operations Strand The students will understand numbers, multiple ways of representing numbers, relationships of numbers, and number systems; The students will understand meanings of operations and procedures, and how they relate to one another; Geometry Strand The students will identify and justify geometric relationships, formally and informally. Objective: The students will develop an understanding of fractions as parts of a unit whole. Purpose: The students will understand the concepts of and become proficient with the skills of mathematics; The students will communicate and reason mathematically; The students will become problem solvers by using appropriate tools and strategies. Materials: Pattern Blocks Overhead projector Activity Sheet # 1 Fractions In Action! Activity Sheet # 2 Challenge Question

4 What Will Be Accomplished? The students will build new mathematical knowledge through problem solving as they understand the relationship between a whole and fractions. The students will apply and adapt a variety of appropriate strategies to show the relation between fractions. The students will become familiar with the functions and representation of a hexagon, trapezoid, rhombus, and triangle. The students will apply a variety of different strategies to solve problems using fractions. The students will expand their mathematical knowledge as the understand fractions and their functions. Evaluation: 1. The students will complete activity sheets #1 to show that they understand the concept and relationships of fractions. 2. The students will complete activity sheet #2 to show that they have a deep understanding of fractions through problem solving. 3. The student s explanations to their answers will demonstrate the depth of their understanding of fractions. 4. The students will be evaluated for contributing through oral responses and participation.

5 Name Activity Sheet #1 Fractions In Action! This is the triangle and it is the smallest of all the shapes. This is the rhombus or parallelogram. Its size or area is exactly twice that of the triangle. I.e. you can fit two triangles inside of it. This is the trapezoid. Its size or area is exactly three times that of the triangle. That means that you can fit three triangles inside of a trapezoid or one blue rhombus and one triangle. This is the hexagon and it is the largest of all the shapes. Its size or area is exactly six times that of the triangle. You can fit six triangles or three blue rhombus or two trapezoids inside of it. How many green triangles are in one blue rhombus? How many green triangles are in one red trapezoid? How many green triangles are in one yellow hexagon? How many blue rhombuses are in one yellow hexagon?

6 How many red trapezoids are in one yellow hexagon? Name Activity Sheet # 2 Fractions In Action! Answer each question and explain your answers. 1. Is there a way to represent the red trapezoid using blue and green pattern blocks? 2. Can you cover the red trapezoid using only one color? 3. What does this tell us about the relationship between the blue rhombus and the green triangle? 4. Are there other ways to represent various pattern blocks (for example, the yellow hexagon) using more than one color pattern block?

7 Name Activity Sheet # 3 Challenge Question! Queen Paula has three children, two boys and one girl that she would like to give her kingdom to. She would like to give 1/3 of the kingdom to each of her sons and 2/3 to her daughter. Using your pattern blocks decide if Queen Paula can do this. Explain your answer. If Queen Paula cannot do this what would be a solution?

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