3_5_3M


 * Grade:3 Unit:5 Week: 3 Content: Math Dates: 3/4-3/8 **


 * Theme Essential Question **** : What is a polygon and how can I find the perimeter and area of that polygon? (Rectangles) **


 * Essential Questions: **
 * How can I prove or disprove congruence between two shapes by using geometric moves?
 * Do I understand that area is measured in square units?
 * Do I understand when measuring area, the space being measured must be completely covered with no gaps or overlaps?
 * How can I use squares and triangles to make shapes with an area of 4 square units?
 * How can I explain the relationship between the area of square and triangles?
 * Do I understand that shapes with the same area can look different?


 * Standards **
 * 3.MD.5a ** Geometric Measurement: Understand concepts of area and relate area to multiplication and addition. Recognize area has an attribute of plane figures and understand concepts of area measurement. A square with side length 1 unit, called “a square units,” is said to have “one square unit” of area, and can be used to measure area.


 * 3.MD.5b ** Geometric Measurement: Understand concepts of area and relate area to multiplication and addition. Recognize area has an attribute of plane figures and understand concepts of area measurement. A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.


 * 3.MD.6 ** Geometric Measurement: Understand concepts of area and relate area to multiplication and to addition. Measure areas by counting unit squares (square centimeter, square meter, square inch, square ft, and improvised units).


 * 3.MD.7a ** Find the area of a rectangle with whole number size by tiling it, and show that the area is the same as would be found by multiplying the side lengths.


 * 3.MD.7b ** Multiply side lengths to find areas of rectangles with whole number side lengths in the context of solving real world and mathematical problems, and represent whole number products as rectangular areas in mathematical reasoning.


 * 3.MD.7d ** Recognize as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts applying this technique to solve real world problems.


 * Objectives **
 * Determine the geometric moves needed to prove or disprove congruence between two
 * shapes.
 * Understand that area is measured in square units.
 * Understand that when measuring area, the space being measured must be completely covered with no gaps or overlaps.
 * Use squares and triangles to make shapes with an area of 4 square units.
 * Examine the relationship between the area of squares and triangles.
 * Understand that shapes with the same area can look different.
 * Find the area of partially covered rectangles.

Continuing with the Dog Park project-Students should now determine how much sod is needed to cover their park (Area). Pairs should note their measurements on their design sheet.
 * Assessment **
 * Product

tetrominoes?
 * Key Questions (match Standard)
 * Are students able to use geometric moves to prove or disprove that their shape with an area of 4 square units are congruent?
 * How do students arranges tetrominoes to cover squares?
 * Are students able to use the squares and triangles to cover the
 * Do students understand they have to complete the tetrominoes leaving no gaps or overlaps?
 * Are students able to explain how they know their shape has an area of 4 square units?

units.
 * Observable Student Behaviors (Performance)
 * Student is able to use geometric moves to prove or disprove the congruence of 2 shapes.
 * Student can arrange tetrominoes to cover squares.
 * Student is able to use the squares and triangles to cover the tetrominoes.
 * Students understand they have to complete the tetrominoes without leaving gaps
 * Students is able to explain how they know their shape has an area of 4 square


 * ** Mathematical Practices **
 * Make sense of problems and persevere in
 * solving them.
 * Reason abstractly and quantitatively.
 * Construct viable arguments and critique the reasoning of others.
 * Model with mathematics.
 * Use appropriate tools strategically.
 * Attend to precision.
 * Look for and make use of structure.
 * 8. Look for and express regularity in repeated reasoning. ||

square units length width dimensions 2-dimensional shapes congruent polygon plane figure tetrominoe ||  ||   ||
 * Vocabulary **
 * ** Math ** || || ||
 * Area


 * Suggested Activities ** [see Legend to highlight MCO and HYS]

Investigations, Gr 3, Unit 4, Perimeter, Angles and Area, L 2.1, 2.2, 2.3, 2.4
 * Homework **


 * Terminology for Teachers **

** E ** thnicity/**C**ulture | **I**mmigration/**M**igration | **I**ntercultural **C**ompetence | **S**ocialization | **R**acism/**D**iscrimination ** High Yield Strategies ** ** S ** imilarities/**D**ifferences | **S**ummarizing/**N**otetaking | **R**einforcing/**R**ecognition | **H**omework/**P**ractice | ** N ** on-**L**inguistic representation | **C**ooperative **L**earning | **O**bjectives/**F**eedback | ** G ** enerating-**T**esting **H**ypothesis | **C**ues, **Q**uestions, **O**rganizers  ||
 * ** Multicultural Concepts **

************************************************************************************************************ Teaching Student Centered Math, Gr.3-5, (Van de Walle)-Ch 9-Measurement Concepts Elementary and Middle School Mathematics (Van de Walle)-Ch 19
 * Resources **
 * Professional Texts **


 * Literary Texts **
 * **List**


 * Informational Texts **
 * **List**


 * Art, Music, and Media **
 * **List**


 * Manipulatives **
 * Geoboards
 * Tetrominoes (student made)
 * Color tiles


 * Games **
 * **List**


 * Videos **
 * **List**


 * Sight Words **
 * **List**

Perimeter and Area Understand the concept of perimeter and area. Find the perimeter and area of simple polygons. Find the area of rectangles and squares using length x width.
 * Smartboard Lessons, Promethean Lessons **
 * AEGOM Lesson G3M023 **

Area Develop strategies to determine the area of rectangles and plane figures.
 * AEGOM Lesson G4M021 **


 * Other Activities, etc. **

Shape Poster- Students work with a partner to cut out squares and triangles to make different shapes that have an area of 4 square units. Glue shapes on posters and present posters to the class. Students should be able justify whether any two shapes on their poster are or are not congruent using geometric moves.( See Investigations, Gr 3, Unit 4, pg 83)
 * OnCore 87-91
 * Harcourt L22.2, 22.3
 * Supersource-Color Tiles-Gr 3-4
 * Ben’s Garden Plot, pg 22
 * Changing Area, pg 30
 * Supersource-Snapcubes-Gr 3-4
 * Making Frames pg 38
 * Supersource-Geoboards-Gr 3-4
 * Area of Four, pg 22
 * Changes, pg 30

Lesson Plan


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