Document Sample

Sample Lesson Plan: Understanding Fractions with Pattern Blocks Standards and Key Concepts Unit of Study Fractions: Understanding Fraction Equivalences and Operations Grade Level 3-4 NCTM Standards Compute fluently and make reasonable estimates. In grades 3-5 All students should develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers. All students should recognize and generate equivalent forms of commonly used fractions, decimals and percents. Common Core Number and Operations - Fractions: Standards Grade 3: Develop an understanding of fractions as numbers. 1. Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b. 3. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model. Grade 4 : Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. 3. Understand a fraction a/b with a > 1 as a sum of fractions 1/b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Big Idea A whole can be divided into fractional parts that can be written as a fraction number. IEP Objectives Given onscreen pattern block models and guided practice, the student will identify fractional amounts and equivalent fractions for shapes and colored areas in 4 out of 5 examples on three consecutive sessions. Lesson Outcomes 1. Students will identify fractional parts of a whole and write the fraction number. 2. Students will identify equivalent fractions for fractional parts of a whole. 3. Students will write an equation adding each fractional part of the whole. Preparation: 1. List the vocabulary words and definitions on the board or chart paper 2. Provide each student with a set of pattern blocks. 3. Review the How to use the Unitizing with Pattern Blocks tool video at: http://www.conceptuamath.com/fractions.html#PatternBlocks 4. Set up the Unitizing with Pattern Blocks Tool: Click the Hide/Show fraction button to hide the fraction number. Select the pie model. www.conceptuamath.com Copyright Conceptua™ Math 1 Sample Lesson Plan: Understanding Fractions with Pattern Blocks Overview: In this lesson students will use pattern block manipulatives to identify fractional parts of a whole. Students write fractions that represent parts of the whole, create addition equations for the various parts of the whole and recognize equivalence. Prerequisite skills include…. This lesson is designed for use with the Free Tool from Conceptua Math for whole group teacher facilitated instruction and with the premium tools from Conceptua Math for independent practice and assessment. Lesson Implementation Activating Strategy Open the Free Unitizing with Pattern Blocks tool and select the large hexagon Advanced Organizer from the predesigned patterns. Instruct students to select one large yellow hexagon from their pattern blocks. Ask them how many of the green equilateral triangles fit onto or are equal to the hexagon? Discuss that if the hexagon represents one whole how we can represent that as a fraction? How would we represent one of the equilateral triangles? Enter the 1/1 fraction into the grey fraction box and lock the “whole”. Point out that the hexagon that represents one whole is divided into equal parts in the shape of the triangle to make determining fractional parts easier. Have students count with you the parts. Explain that today you will be working to identify fractional parts of a whole and learning how to write those parts as fraction numbers. You will explore the different ways one whole can be divided into fractional parts. Demonstrate Continue on using the same hexagon. Model Ask students how many red trapezoids would it take to equal the whole Teacher Facilitation hexagon? What would the fraction of one of the trapezoids be? Then drag one trapezoid and three triangles to the shape. Have student do the same with their pattern blocks. Have students represent the trapezoid as a fraction and enter it into the red fraction number box. Do the same for the three triangles. Ask students what we know about these two fractions (1/2 and 3/6) probe until students recognize that they are equal and review or introduce the vocabulary term equivalence. Now ask students if they can think of a sentence to explain the pattern. Guide them toward stating a sentence that includes; ½ and 3/6 equals one whole. You may choose to expand their thinking by writing ½ +3/6 = 1 Be sure to review vocabulary throughout this demonstration. Vocabulary Fraction- equal part of the whole Equivalent- two or more fraction numbers that represent the same amount Represent- to stand for, in this lesson the fraction that stands for the amount of a colored area of the whole hexagon, trapezoid, rhombus, equilateral triangle, parallelogram, Guided Practice Repeat the above sequence using a stamped double hexagon grey shaded area for the whole. Have students use their pattern blocks to create the shape and explore different ways to cover the block. Have them share with a www.conceptuamath.com Copyright Conceptua™ Math 2 Sample Lesson Plan: Understanding Fractions with Pattern Blocks peer and together write either sentences or equations that represent their work. Have some students share their work using the software. Be sure to note equivalent fractions. Be sure to ask students, why the hexagon is now ½ and not 1 whole. Remember the tessellation button can be used as a reinforcer and to further your discussion about parts of the whole. Independent Practice Assign students one of the pattern block activities to work on independently. Check for It is important that students be encouraged to discuss what they know about Understanding fractions as they work independently. Ask questions to elicit responses that require the use of the new vocabulary. Asking how do you know and why questions can facilitate thinking more critically about fractions as they work independently in the Conceptua Math student activities. Students can also be required to write down equations that represent their pattern. Summarizing Open the Unitizing with Pattern Blocks tool and reproduce one of the patterns Strategy from the independent work activities you assigned. Be sure to select one that Closure either presented a challenge for students or one in which multiple ideas can be discussed. Assessment Formative: Provide students with a pattern to create using their pattern blocks. Have students cover the shape using blocks you assign and write the fraction numbers. Summative: Review the Big Idea 4, Topic 2 Student performance data Adaptations Be sure accessibility features of the student activities are activated for students who require supports to manipulate the models using alternate methods. If a student does have difficulty using the number line, allow him/her to switch to a part/whole model. Extending and The Unitizing Fractions on a Grid tool would be good follow-up as students Refining can apply the same skills learned in this lesson to colors placed on a grid. Or you can do the following: Select the triple hexagon shape from the predesigned patterns and set it represent one whole. Follow the steps outlined in the Guided Practice section of this lesson plan. For a real challenge, set the pattern amount to be ½. www.conceptuamath.com Copyright Conceptua™ Math 3

DOCUMENT INFO

Shared By:

Categories:

Stats:

views: | 547 |

posted: | 8/8/2010 |

language: | English |

pages: | 3 |

OTHER DOCS BY drobertshaw

How are you planning on using Docstoc?
BUSINESS
PERSONAL

By registering with docstoc.com you agree to our
privacy policy and
terms of service, and to receive content and offer notifications.

Docstoc is the premier online destination to start and grow small businesses. It hosts the best quality and widest selection of professional documents (over 20 million) and resources including expert videos, articles and productivity tools to make every small business better.

Search or Browse for any specific document or resource you need for your business. Or explore our curated resources for Starting a Business, Growing a Business or for Professional Development.

Feel free to Contact Us with any questions you might have.