Unitize Fractions with Pattern Blocks - Math Lesson Plan

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					                 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.




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                  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


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                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.




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