ALEX Classroom Resource

  

Area of Irregular Figures StudyJam

  Classroom Resource Information  

Title:

Area of Irregular Figures StudyJam

URL:

https://studyjams.scholastic.com/studyjams/jams/math/measurement/area-irregular-figures.htm

Content Source:

Other
http://studyjams.scholastic.com/
Type: Interactive/Game

Overview:

In this interactive activity, students will be led through steps to calculate the area of irregular figures. There are teaching activities as well as practice activities available. A handout that reviews the steps taught during the interactive is available to be printed. After utilizing this resource, the students can complete the short quiz to assess their understanding.

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 6
26. Calculate the area of triangles, special quadrilaterals, and other polygons by composing and decomposing them into known shapes.

a. Apply the techniques of composing and decomposing polygons to find area in the context of solving real-world and mathematical problems.
Unpacked Content
Evidence Of Student Attainment:
Students:
Given a variety of triangles and quadrilaterals:
  • Find their area.
  • Justify their solutions and solution paths by composing shapes into rectangles and decomposing into triangles or other shapes.
Given real-world and mathematical problems involving area of triangles and other polygons,
  • Compose and decompose shapes to find solutions.
  • Interpret solutions.
Teacher Vocabulary:
  • Right triangles
  • Special quadrilaterals
  • Polygons
  • Area
  • Decompose
  • Compose
Knowledge:
Students know:
  • Appropriate units for measuring area: square inches, square units, square feet, etc..
  • Strategies for composing and decomposing shapes to find area.
Skills:
Students are able to:
  • Communicate the relationship between models of area and the associated real-world mathematical problems.
  • Use logical reasoning to choose and apply strategies for finding area by composing and decomposing shapes.
  • Accurately compute area of rectangles using multiplication and the formula.
Understanding:
Students understand that:
  • The area of a figure is measured by the number of same-size unit squares that exactly cover the interior space of the figure.
  • Shapes can be composed and decomposed into shapes with related properties,
  • Area is additive.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.6.26.1: Define area, special quadrilaterals, right triangles, and polygons.
M.6.26.2: Analyze the area of other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes.
M.6.26.3: Apply area formulas to solve real-world mathematical problems.
M.6.26.4: Demonstrate how the area of a rectangle is equal to the sum of the area of two equal right triangles.
M.6.26.5: Explain how to find the area for rectangles.
M.6.26.6: Select manipulatives to demonstrate how to compose and decompose triangles and other shapes.
M.6.26.7: Recognize and demonstrate that two right triangles make a rectangle.

Prior Knowledge Skills:
  • Apply the area and perimeter formulas for rectangles in real-world and mathematical problems.
  • Recall the formula for area (L × W).
  • Recognize that unit squares are equal.
  • Recall the formula for perimeter (P= L+L+W+W or P=2L + 2W).
  • Recall basic addition and multiplication facts.
  • Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.
  • Partition a shape into 4 parts with equal area, and describe the area of each part as 1 of the area of the shape.
  • Partition circles and rectangles into two, three, or four equal shares; describe the shares using the words halves, thirds, half of, a third of, etc.; and describe the whole as two halves, three thirds, or four fourths.
  • Recognize that equal shares of identical wholes need not have the same shape.
  • Demonstrate equivalent fractions using concrete objects or pictorial representations.
  • Define right angle.
  • Recognize that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals).
  • Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.
  • Recognize and draw shapes having specified attributes such as a given number of angles or a given number of equal faces.
  • Identify triangles.
Tags: area, Irregular figure, measurement
License Type: Custom Permission Type
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Comments

The quiz may be completed as a whole group or independently on student devices.

  This resource provided by:  
Author: Hannah Bradley
Alabama State Department of Education