EAST ALLEN COUNTY SCHOOLS Bundle 7 Grade 3 Math Understanding Precision in Geometry Big Idea: Determination Enduring Understandings Essential Questions Two-dimensional and three-dimensional objects are described and classified according to their attributes. What are the similarities and differences in attributes of two-dimensional and three-dimensional figures? Lines and line segments are sets of points in space that can be used to describe parts of other geometric lines, shapes, and solids. How does geometry build our world? How are lines of symmetry and mirror images identified? Geometry involves shape, size, position, orientation, and dimension to describe and understand the world around us. How can an understanding of geometry help people with decision-making in their daily lives? An angle is formed by two rays with a common endpoint and is classified by its size. Temperature can be expressed using degrees Fahrenheit or degrees Celsius. A line of symmetry divides a figure into two mirror-image halves. CC/Learning Targets *3.4.1 *3.4.2 *3.4.3 3.4.4 *3.4.5 *3.4.6 *3.4.7 *3.4.8 3.4.9-3.4.10 3.5.8 *3.6.1-3.6.9 3.G.1 Core Vocabulary angles lines lines of symmetry line segments polygon quadrilateral Links to Technology -Third Grade IXL website for all skills -Educreation Interactive Whiteboard app -Khan Academy for Math app Bundle Performance Task(s) Your school has decided to compete in a community garden contest. The principal has contacted third-grade students to submit garden ideas that might be used at your school. As a class, students may research and take notes to brainstorm ideas for a new design. Students will use graph paper to show their design for the garden. Students will include a key that uses various polygons (at least 5 types) to represent items/sections in/of their garden (such as lawn, trees, fountain, flowers, organic vegetables, etc.) and label each symbol with a letter. The judges for this contest want the design to be presented using two-dimensional figures. They also want the design to reflect areas of the garden that are congruent and areas that have lines of symmetry. As an extension, students can send with their design the total area in squared units needed for their garden idea. In addition, students can send the measurements in feet (each square unit is a foot) for the perimeter of the garden so that walkers in the community can calculate how long it will take to walk each morning. See performance task template at the end of the bundle. As another extension, students might create a new design for their classroom using geometric shapes to represent objects in the room. They could submit reasons for wanting the classroom rearranged. Grade 3 Math Bundle 7 Quarter 4 Mar.-Apr. Big Idea: Determination Understanding Precision in Geometry My Notes on the School Garden: I learned these facts about the school grounds 1. ___________________________________________________________________________ 2. ___________________________________________________________________________ 3. ___________________________________________________________________________ 4. ___________________________________________________________________________ 5. ___________________________________________________________________________ These pictures will help me remember details about the school grounds. Here are some new ideas I’ve brainstormed for the School Garden. Big Idea: Determination Understanding Precision in Geometry I have brainstormed these new ideas. 1. ___________________________________________________________________________ 2. ___________________________________________________________________________ 3. ___________________________________________________________________________ 4. ___________________________________________________________________________ 5. ___________________________________________________________________________ These pictures will help me remember my ideas for the School Garden. Big Idea: Determination Key Understanding Precision in Geometry Big Idea: Determination Understanding Precision in Geometry 1. What geometric figures did you use to represent the garden plan (i.e. figure a = a square)? 2. Which figures are congruent? 3. What figures in the drawing have one or more lines of symmetry? 4. Label the angles on three different polygons in your design. 5. If your garden design is chosen, name five solid figures that will be viewed by visitors who walk through the garden? Explain where they will be seen. Example: Scalene Triangle = vegetable garden 1. _____________________________________________________________________________ 2. _____________________________________________________________________________ 3. _____________________________________________________________________________ 4. _____________________________________________________________________________ 5. _____________________________________________________________________________ Extension: What is the area of the garden? Extension: What is the perimeter of the garden? Recommended Read-Alouds G3 - Bundle 7 Big Idea: Determination Title Relates to… Author Hamster Champs Stuart J. Murphy Angles Pigs on a Ball: Fun with Math and Sports Amy Axelrod Angles What’s Your Angle, Pythagoras?: A Math Adventure Julie Ellis Angles Actual Size Steve Jenkins Line Segments A Cloak for the Dreamer Aileen Friedman Points, Lines, Line Segments Mummy Math Cindy Neuschwander Points, Lines, Line Segments Sir Cumference and the First Round Table Cindy Neuschwander Points, Lines, Line Segments Sir Cumference and the Sword in the Cone Cindy Neuschwander Points, Lines, Line Segments Three Pigs, One Wolf, and Seven Magic Shapes Grace MacCarone Points, Lines, Line Segments Shape Up! Fun With Triangles and Other Polygons David Adler Quadrilaterals, Angles, Geometric Shapes 3D 2D 1D David Adler Shapes Snowflak e Bentley Jacqueline Martin Shapes The Greedy Triangle Marilyn Burns Shapes Let’s Fly a Kite Stuart Murphy Symmetry Sam Johnson and the Blue Ribbon Quilt Lisa Campbell Ernst Symmetry Recommended Read-Alouds G3 - Bundle 7 Captain Invincible and the Space Shapes Stuart J. Murphy Three-Dimensional Shapes Cubes, Cones, Cylinders & Spheres Tana Hoban Three-Dimensional Shapes Math G3 - Bundle 7 CC/Learning Targets 3.4.1 Identify quadrilaterals as four-sided shapes. Resource of Ideas -Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28 (3.G.1) -Shape Up! Fun With Triangles and Other Polygons by David Adler -Houghton Mifflin Math website - IDOE Resources rd -3rd Grade Indiana Math Skills (click on Indiana, then click on 3 grade, scroll down to the indicator of your choice) -Math Shape Activities - enVisionMATH Lesson 11.5 3.4.2 Identify right angles in shapes and objects and decide whether other angles are greater or less than a right angle. a. Identify right angles in shapes and objects. b. Decide whether angles are greater or less than a right angle. -Houghton Mifflin Math Lesson 15.4 -Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28 -Hamster Champs by Stuart J. Murphy -Shape Up! Fun With Triangles and Other Polygons by David A. Adler -Pigs on a Ball: Fun with Math and Sports by Amy Axelrod -What’s Your Angle, Pythagoras?: A Math Adventure by Julie Ellis -Houghton Mifflin Math website - IDOE Resources rd -3rd Grade Indiana Math Skills (click on Indiana, then click on 3 grade, scroll down to the indicator of your choice) -Geometry Virtual Manipulatives - enVisionMATH Lesson 11.2, 1..4 Evidence of Learning - enVisionMATH pp. 298-300 -Houghton Mifflin Math Chapter Review/Test pp. 438-439 -Daily Math Review -Have students draw and cut out quadrilaterals and paste them on a piece of construction paper -Have students look through magazines, books, newspapers, etc. to find, cut out, and paste quadrilaterals onto a class quadrilateral poster - enVisionMATH pp. 298-300 -Houghton Mifflin Math Chapter Review/Test pp. 438-439 -Draw and label angle types -Create a list of angles found in everyday/classroom objects -Use Geoboards to make different polygons, then identify the angles in the polygon -Daily Math Review -Have students draw and cut out quadrilaterals and paste them on a piece of construction paper, then label the angles found in each shape -Play Geometry Simon Says (give Math G3 - Bundle 7 -Houghton Mifflin Math Lesson 15.1 3.4.3 Identify, describe, and classify: cube, sphere, prism, pyramid, cone, and cylinder. a. Identify cube, sphere, prism, pyramid, cone, and cylinder. -Captain Invincible and the Space Shapes by Stuart J. Murphy -Cubes, Cones, Cylinders & Spheres by Tana Hoban c. Classify by finding similarities and differences between cubes, spheres, prisms, pyramids, cones, and cylinders. -Identifying Shapes -Shapes -Houghton Mifflin Math website - IDOE Resources rd -3rd Grade Indiana Math Skills (click on Indiana, then click on 3 grade, scroll down to the indicator of your choice) -Geometry Virtual Manipulatives -Math Songs -Math Shape Activities Identify common solid objects that are the parts needed to make a more complex solid object. -Houghton Mifflin Math Lessons 15.6 - 15.7 - IDOE Resources rd -3rd Grade Indiana Math Skills (click on Indiana, then click on 3 grade, scroll down to the indicator of your choice) b. Describe cube, sphere, prism, pyramid, cone, and cylinder by using the terms faces, vertex (vertices), and edges. 3.4.4 -Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28 a. Identify common solid objects that are the parts needed to make a more complex solid object. -Houghton Mifflin Math Lessons 17.6 - 17.7 commands to use their body to form angles, lines, segments, points, etc.) -Create a simple map using points (for stoplights), lines and segments (for roads), angles (for direction changes), and shapes (for objects in landscape) -Houghton Mifflin Math Chapter Review/Test pp. 438-439 -Daily Math Review -Bring in objects that are threedimensional, label them with letters (3-D shape A, 3-D shape B, etc.), and have students name each 3D shape -Practice naming threedimensional shapes using flashcards with partners -Use cubic units to fill a shoebox and record how many cubes it took -Have students gather solid objects from their environment and build a more complex structure using those solid objects Math 3.4.5 G3 - Bundle 7 Draw shape that is congruent to another shape. -Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28 a. Draw a shape that is congruent to another shape. -Houghton Mifflin Math website - IDOE Resources rd -3rd Grade Indiana Math Skills (click on Indiana, then click on 3 grade, scroll down to the indicator of your choice) -Geometry Virtual Manipulatives -Math Songs -Houghton Mifflin Math Lessons 16.1- 16.2 3.4.6 Use the terms point, line, and line segment in describing two-dimensional shapes. a. Define the terms point, line, and line segment correctly. b. Use the terms point, line, and line segment in describing two-dimensional shapes. -Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28 -3D 2D 1D by David Adler -Sir Cumference and the Sword in the Cone by Cindy Neuschwander -A Cloak for the Dreamer by Aileen Friedman -Mummy Math by Cindy Neuschwander -Sir Cumference and the First Round Table by Cindy Neuschwander -Three Pigs, One Wolf, and Seven Magic Shapes by Grace MacCarone -Identifying Shapes -Shapes -Take a walk around the school and have students identify a structure that uses more than one solid figure to build it, then draw a diagram of the structure where the solid figures are labeled -Houghton Mifflin Math Chapter Review/Test pp. 458-459 -Draw a shape and have a partner draw the congruent shape -Use Geoboards to make different polygons, then use another Geoboard to make congruent figures -Make a design of a building incorporating congruent shapes Have students share their designs with partners/groups -Observe students playing a congruent shape memory game -Draw a house that uses congruent shapes - enVisionMATH pp. 298-300 -Daily Math Review -Quiz -Name and describe geometric shapes with partners using shape flashcards -Observe students playing Geometry Simon Says (give commands to use their body to form angles, lines, segments, points, etc.) -Create a simple map using points Math G3 - Bundle 7 -Houghton Mifflin Math website - IDOE Resources rd -3rd Grade Indiana Math Skills (click on Indiana, then click on 3 grade, scroll down to the indicator of your choice) 3.4.7 Draw line segments and lines. a. Draw line segments and lines using a straightedge. b. Draw line segments to a given length using a straightedge. - enVisionMATH Lesson 11.1 -Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28 -Actual Size by Steve Jenkins -Houghton Mifflin Math website - IDOE Resources rd -3rd Grade Indiana Math Skills (click on Indiana, then click on 3 grade, scroll down to the indicator of your choice) (for stoplights), lines and segments (for roads), angles (for direction changes), and shapes (for objects in landscape) - enVisionMATH pp. 298-300 -Houghton Mifflin Math Chapter Review/Test pp. 438-439 -Daily Math Review -Create a simple map using points (for stoplights), lines and segments (for roads), angles (for direction changes), and shapes (for objects in landscape) - enVisionMATH Lesson 11.1 3.4.8 Identify and draw lines of symmetry in geometric shapes (by hand or using technology). a. Define symmetry. b. Determine whether a line is a line of symmetry in a given shape. c. Construct a line of symmetry for a geometric shape. -Houghton Mifflin Math Lesson 15.1 -Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28 -Let’s Fly a Kite by Stuart Murphy -Sam Johnson and the Blue Ribbon Quilt by Lisa Campbell Ernst -Houghton Mifflin Math website -IDOE Resource rd -3rd Grade Indiana Math Skills (click on Indiana, then click on 3 grade, scroll down to the indicator of your choice) -Symmetry Lesson -Houghton Mifflin Math Chapter Review/Test pp. 458-459 -Daily Math Review -Provide students with cut-outs of figures and have them fold and sort the figures by having symmetry/not having symmetry, then have the students draw the lines of symmetry in the appropriate figures Math 3.4.9 Sketch the mirror image reflections of shapes. a. Sketch the mirror image reflections of shapes. 3.4.10 Recognize geometric shapes and their properties in the environment and specify their locations. a. Label/name geometric shapes and structures found in the environment. b. Tell where geometric shapes and structures are found in the environment. 3.5.8 G3 - Bundle 7 -Houghton Mifflin Math Lesson 16.3 -Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28 -Houghton Mifflin Math website -IDOE Resource rd -3rd Grade Indiana Math Skills (click on Indiana, then click on 3 grade, scroll down to the indicator of your choice) -Houghton Mifflin Math Lesson 16.4 -The Greedy Triangle by Marilyn Burns -Shape Up! Fun With Triangles and Other Polygons by David Adler -Snowflake Bentley by Jacqueline Martin -Houghton Mifflin Math website -IDOE Resource rd -3rd Grade Indiana Math Skills (click on Indiana, then click on 3 grade, scroll down to the indicator of your choice) -Math Shape Activities c. Describe shapes in the environment by referring to their properties, i.e., symmetry and angles. -Houghton Mifflin Math Lessons 15.2 - 15.3 Compare temperatures in Celsius and Fahrenheit. -Temperature by Chris Woodford -Houghton Mifflin Math website -IDOE Resource rd -3rd Grade Indiana Math Skills (click on Indiana, then click on 3 grade, scroll down to the indicator of your choice) -Houghton Mifflin Math Chapter Review/Test pp. 458-459 -Use symmetry mirrors to draw mirror image reflections of student drawn images -Houghton Mifflin Math Chapter Review/Test pp. 438-439 -Take a walk around the school grounds and have students make a list of the geometric shapes they see, draw pictures of them in the environment -The Figure Shop activity from Houghton Mifflin Math p. 410D -Create a simple map using points (for stoplights), lines and segments (for roads), angles (for direction changes), and shapes (for objects in landscape) -Observe students using a thermometer to measure and record the daily temperature outside/inside -Observe students using a thermometer to measure and Math G3 - Bundle 7 -Houghton Mifflin Math Lesson 12.7 3.6.13.6.9 -The Problem Solver 3: Activities for Learning Problem-Solving Strategies -Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28 Problem Solving rd -3rd Grade Indiana Math Skills (click on Indiana, then click on 3 grade, scroll down to the indicator of your choice) - enVisionMATH Lessons 11.8 - 11.9 -Houghton Mifflin Math Lesson 15.5 (Find a Pattern) Lesson 16.5 (Visual Thinking) Lesson 17.5 (Use Measurement) Correlating CC/Learning Targets 3.1.1 3.1.11 3.1.12 3.1.13 3.1.2 3.2. 3.2.8 3.3.1 3.3.2 3.3.3 3.5.1 3.5.3 3.5.4 Teacher Notes record the temperature for a science experiment -Have students use the internet to find the high/low temperature for the day in degrees Fahrenheit, then use a thermometer to decide about how many degrees Celsius that is -Daily Math Review -See Problem Solving Template in Appendix -Problem Solver Activities -Evidence in a math journal -Observation of students participating in Poster Method problem solving
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