• Elementary Mathematics Grade 4 Unit 5


    Subject: Mathematics
    Grade: 4 
    Timeline: 16 days
    Unit 5 Title: Geometry I

    Unit Overview: 
     
    This unit will give students the opportunity to review and develop geometric skills.  The class will study the geometry of 2-dimensional and 3-dimensional shapes.  Students will use Geometry Templates to construct shapes and to create their own geometric designs.  All the activities done in this unit will emphasize properties and characteristics of geometric shapes.

    Unit Objectives:
     
    At the end of this unit, students must be able to draw lines and angles, as well as identify these in two-dimensional figures.  Students must be able to classify two-dimensional and three-dimensional figures by their properties.    

    Focus Standards:
     
    PA.CCSS.Math.Content.CC.2.3.4.A.1  Draw lines and angles and identify these in two- dimensional figures. (4.G.1)
    PA.CCSS.Math.Content.CC.2.3.4.A.2  Classify two- dimensional figures by properties of their lines and angles. (4.G.2) 
    PA.CCSS.Math.Content.CC.2.3.4.A.3  Recognize symmetric shapes and draw lines of symmetry (4.G.3)

    Mathematical Practice Standards:   
     
    #3 Construct viable arguments and critique the reasoning of others.  
     
    Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. Elementary students can construct arguments using concrete referents such as objects, drawings, diagrams, and actions. Such arguments can make sense and be correct, even though they are not generalized or made formal until later grades. 
     
    #4 Model with mathematics.
     
    Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation.  They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.
     
    #5 Use appropriate tools strategically.  
     
    Mathematically proficient students consider the available tools when solving a mathematical problem. These tools might include pencil and paper, concrete models, a ruler, a protractor, a calculator, a spreadsheet, a computer algebra system, a statistical package, or dynamic geometry software. Proficient students are sufficiently familiar with tools appropriate for their grade or course to make sound decisions about when each of these tools might be helpful, recognizing both the insight to be gained and their limitations. 
     
    #6 Attend to precision.
     
    Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning. They state the meaning of the symbols they choose, including using the equal sign consistently and appropriately. They calculate accurately and efficiently, express numerical answers with a degree of precision appropriate for the problem context. 

    Concepts - Students will know:
    • Polygons have properties
    • Line segments make up polygons and have their own properties
    • Angles inside polygons have their own properties
    Competencies -Students will be able to:
    • Name the properties of polygons
    • Identify parallel, perpendicular, and intersecting line segments
    • Name the type of angles that make up various polygons

    Assessments:
    • Unit 5 Assessment
    • Daily RSA 
    • Optional Quizzes (3)

    Elements of Instruction:
     
    Learners in 4th grade will extend their understanding of basic geometric shapes to being able to identify various properties of shapes.  They can use geometric vocabulary to describe each property of different shapes including properties based upon their line structure and their angle make-up.   

    Differentiation:
     
    Each lesson has differentiation options for each portion of the lesson.  Additional differentiation options are listed with directions and student masters in the Teacher’s Guide to Games.

    Interdisciplinary Connections:
    • Mental Math and Math message routines

    Additional Resources / Games:
     
    Students will play a variety of games that directly support the content of the lesson and the overall goals for the unit. Games for unit five include:
    • Over and Up Squares
    • Grid Search
    • Hidden Treasure
    • Polygon Pair-Up
    • Polygon Capture
    A constant practice with vocabulary words can be put on a math log, and given each day in addition to the mental math reflexes.
     
    Example:
     
    Draw an angle, draw a point, draw a line, draw a quadrangle, draw a triangle, etc.