Grade 3: Chapter 11 –Perimeter and Area
Chapter Essential Question:How can you solve problems involving perimeter and area?
Before(Grade 2) / Chapter Ten Standards
Grade 3 / After
(Grade 4)
Reason with shapes and their attributes (2.G.2)
Relate addition and subtraction to length (2.MD.5) / Measurement and Data 5: Recognize area as an attribute of plane figures and understand concepts of area measurement.
a. A square with side length 1 unit, called “a unit square,” is said to have “one square unit” of area, and can be used to measure area.
b. 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.
- I can explore perimeter and area as attributes of polygons.
- I can estimate and measure area of plane shapes by counting unit squares.
Measurement and Data 6: Measure areas by counting unit squares (square cm, square m, square in., square ft., and improvised units).
- I can estimate and measure area of plane shapes by counting unit squares.
Measurement and Data 7: Relate area to the operations of multiplication and addition.
a. Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying side lengths.
b. 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.
c. Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a x b and a x c. Use area models to represent the distributive property in mathematical reasoning.
d. Recognize area 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.
- I can relate area to addition and multiplication by using area models.
- I can solve area problems by using the strategy find a pattern.
- I can apply the Distributive Property to area models and to find the area of combined rectangles.
Measurement and Data 8: Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
- I can explore perimeter of polygons by counting units on grid paper.
- I can estimate and measure perimeter of polygons using inch and centimeter rulers.
- I can find the unknown length of a side of a polygon when I know its perimeter.
- I can compare areas of rectangles that have the same perimeter.
- I can compare perimeters of rectangles that have the same area.
Each day the math block will begin with 15 minutes of Daily Math Review and Mental Math. The focus of DMR should be either prerequisite standard skills or previous chapter concepts that were not mastered. The focus of mental math should be based on the current Chapter’s skills and concepts. Adjust the amount of questions in DMR and MM to fit into the 15 minute time block.
Suggested Chapter Pacing
All lessons are paced for one day, unless otherwise indicated. Teachers may adjust to meet students’ needs.
Launching the Chapter / Pre-Assessment / Review Prerequisite SkillsMeasure It! TE 623I / Show What You Know Assessment
Identify Tier 2 and Tier 3 Groups for Small Group Instruction.
Day Before Lesson 11.1 / Vocabulary Activity
Develop measurement vocabulary. 623H / Vocabulary Builder
Identify students who will need further vocabulary support for Chapter 11. / Preview Chapter Centers
Introduce chapter games, activities, and literature students will be using during center time. / School – Home Letter
Read together and send home.
I Can Statement / Essential Question / Implementation Notes / Centers by Lesson / Teacher Notes
Lesson 11.1
MD.8 / I can explore perimeter of polygons by counting units on grid paper. / How can you find perimeter? / Geoboards
Rubber Bands / A: Jump to 9 (Blue 6)
A: Perimeter Parade (Orange 10)
L: James’ Frames / Click here to enter text.
11.1 Technology / Interactive Whiteboard Lesson / Interactive Student Edition (Engage) / Math on the Spot / Mega Math:
Ice Station Exploration: Polar Planes – Level P / Animated Math Model:
Estimate and Measure Perimeter
Lesson 11.2
MD.8 / I can estimate and measure perimeter of polygons using inch and centimeter rulers. / How can you measure perimeter? / Inch and centimeter rulers / A: Jump to 9 (Blue 6)
A: Perimeter Parade (Orange 10)
L: James’ Frames / Click here to enter text.
11.2 Technology / Interactive Whiteboard Lesson / Interactive Student Edition (Engage) / Math on the Spot / Mega Math:
Ice Station Exploration: Polar Planes – Level P / Animated Math Model:
Estimate and Measure Perimeter
Lesson 11.3
MD.8 / I can find the unknown length of a side of a polygon when I know its perimeter. / How can you find the unknown length of a side in a plane shape when you know its perimeter? / A: Roll to 100 (Orange 1)
A: Perimeter Parade (Orange 10)
L: James’ Frames / Click here to enter text.
11.3 Technology / Interactive Whiteboard Lesson / Interactive Student Edition (Engage) / Math on the Spot / Mega Math:
None / Animated Math Model:
Relate Perimeter and Area
Lesson 11.4
MD.5a / I can explore perimeter and area as attributes of polygons. / How is finding the area of a shape different from finding the perimeter of a shape? / Geoboards
Rubber Bands / A: Perimeter Parade (Orange 10)
L: James’ Frames / Click here to enter text.
11.4 Technology / Interactive Whiteboard Lesson / Interactive Student Edition (Engage) / Math on the Spot / Mega Math:
Ice Station Exploration: Polar Planes – Level Q / Animated Math Model:
Area of Plane Figures
Lesson 11.5
MD.5b and 6 / I can estimate and measure area of plane shapes by counting unit squares. / How can you find the area of a plane shape? / Possible 2 day lesson
Scissors, green and blue paper, 1 inch grid paper / A: Figure it Out (Blue 18)
L: The Class Party / Click here to enter text.
11.5 Technology / Interactive Whiteboard Lesson / Interactive Student Edition (Engage) / Math on the Spot / Mega Math:
Ice Station Exploration: Polar Planes – Level Q / Animated Math Model:
Area of Plane Figures
Lesson 11.6
MD.7a / I can relate area to addition and multiplication by using area models. / Why can you multiply to find the area of a rectangle? / Possible 2 day lesson
Scissors, green and blue paper, 1 inch grid paper / A: Jump to 9 (Blue 6)
A: Hurray for Arrays (Blue 15) / Click here to enter text.
11.6 Technology / Interactive Whiteboard Lesson / Interactive Student Edition (Engage) / Math on the Spot / Mega Math:
Ice Station Exploration: Polar Planes – Level Q / Animated Math Model:
None
Lesson 11.7
MD.7b / I can solve area problems by using the strategy find a pattern. / How can you use the strategy find a pattern to solve area problems? / Possible 2 day lesson / A: Hurray for Arrays (Blue 15)
L: Busy Bees / Click here to enter text.
11.7 Technology / Interactive Whiteboard Lesson / Interactive Student Edition (Engage) / Math on the Spot / Mega Math:
None / Animated Math Model:
None
I Can Statement / Essential Question / Implementation Notes / Centers by Lesson / Teacher Notes
Lesson 11.8
MD.7c-d / I can apply the Distributive Property to area models and to find the area of combined rectangles. / How can you break apart a shape to find the area? / A: Classification Act (Orange 18)
A: Hurray for Arrays (Blue 15) / Click here to enter text.
11.8 Technology / Interactive Whiteboard Lesson / Interactive Student Edition (Engage) / Math on the Spot / Mega Math:
None / Animated Math Model:
None
Lesson 11.9
MD.8 / I can compare areas of rectangles that have the same perimeter. / How can you use area to compare rectangles with the same perimeter? / Square Tiles / A: Classification Act (Orange 18)
A: Hurray for Arrays (Blue 15) / Click here to enter text.
11.9 Technology / Interactive Whiteboard Lesson / Interactive Student Edition (Engage) / Math on the Spot / Mega Math:
Ice Station Exploration: Polar Planes – Level S / Animated Math Model:
Relate Perimeter and Area
Lesson 11.10
MD.8 / I can compare perimeters of rectangles that have the same area. / How can you use perimeter to compare rectangles with the same area? / Square Tiles / A: Classification Act (Orange 18)
A: Hurray for Arrays (Blue 15) / Click here to enter text.
11.10 Technology / Interactive Whiteboard Lesson / Interactive Student Edition (Engage) / Math on the Spot / Mega Math:
Ice Station Exploration: Polar Planes – Level S / Animated Math Model:
Relate Perimeter and Area
Additional Resources for Chapter 11
Measurement and Data 5a, 5b / Measurement and Data 6 / Measurement and Data 7a, 7b, 7c, 7d / Measurement and Data 8
Paper Rectangles / Paper Rectangles / Two Piece Shapes / Ladybug’s Garden
More Areas / More Areas / Square Inches / Area Perimeter Review
Rectangle Comparison No Units
Rainbow Rectangles
Rectangle Comparison Square Units
Des Moines Public Schools 2014-2015Math Curriculum Guides Page | 1
Grade 3 – Chapter11