ALEX Classroom Resource

  

Formulas: Area of a Rectangle

  Classroom Resource Information  

Title:

 Formulas: Area of a Rectangle

URL:

 https://aptv.pbslearningmedia.org/resource/ketae.geo.form.arearec/formulas-area-of-a-rectangle/

Content Source:

 PBS
Type: Informational Material

Overview:

This video explains how to calculate area. Area is the measure of the surface inside a flat figure. Area is measured in square units. Multiply the length times the width to get the square units.

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 3
20. Find the area of a rectangle with whole number side lengths by tiling without gaps or overlays and counting unit squares.

Unpacked Content
Evidence Of Student Attainment:
Students:
  • Use manipulatives to tile a rectangle with unit squares to find the area.
  • Given a rectangle drawn on a coordinate grid, determine the area of the rectangle.
  • Given a rectangle tiled with unit squares, determine the area of the rectangle.
Teacher Vocabulary:
  • Area
  • Rectangle
  • Tiling
  • Gap
  • Overlay
  • Unit square
Knowledge:
Students know:
  • area is a measurable attribute of two-dimensional figures.
Skills:
Students are able to:
  • Find the area of a rectangle by tiling it without gaps or overlaps.
  • Measure the area of a rectangle by counting the number of unit squares needed to cover the shape.
Understanding:
Students understand that:
  • Area is the number of unit squares needed to cover a surface.
  • Multiple unit squares can be combined to measure the area of rectangles so long as the unit squares completely cover the figure without overlapping each other or extending beyond the edge of the figure.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.3.20.1: Define length.
M.3.20.2: Recognize that units of measure must be equal.
M.3.20.3: Express the length of an object as a whole number of length units by laying multiple copies of a shorter object (the length unit) end to end.
M.3.20.4: Recognize that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps.

Prior Knowledge Skills:
  • Identify units of measurement for length.
    Examples: inches, feet, yard; centimeter, meters.
  • Demonstrate how to use measurement tools.
    Example: avoiding gaps and overlaps.
  • Identify units of measure on measurement tools.
  • Use vocabulary related to comparison of length.
    Examples: longer, shorter, longest, shortest, taller.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.20 Find the area of a given shape using arrays (unit cubes and tiles) in relationship to multiplication. Limit units to 25.

Mathematics
MA2019 (2019)
Grade: 4
23. Apply area and perimeter formulas for rectangles in real-world and mathematical situations.
Unpacked Content
Evidence Of Student Attainment:
Students:
When given real-world situations involving area and perimeter will,
  • Apply area formula to find the area of rectangles.
  • Find one missing dimension of the rectangle if one dimension is known.
  • Apply perimeter formula to find perimeter of rectangles.
  • Find one missing dimension of the rectangle if one dimension is known.
Teacher Vocabulary:
  • Area
  • Perimeter
  • Formula
  • Equation
  • Dimension
  • Length
  • Width
Knowledge:
Students know:
  • The relationship of area to the operations of multiplication and addition.
  • The relationship of three whole numbers in a multiplication or division equation.
  • How to distinguish between linear and area measures.
Skills:
Students are able to:
  • Apply area formula for rectangles given real-world situations.
  • Apply perimeter formula for rectangles given real-world situations.
Understanding:
Students understand that:
Given real-world situations involving rectangles,
  • Area formula represents the region inside a rectangle and is used to calculate area, or calculate one missing dimension if one side length is known.
  • Perimeter formula represents the distance around the rectangle and is used to calculate the perimeter, or calculate one missing dimension if one side length is known.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.4.23.1: Recall the formula for area (L × W).
M.4.23.2: Recognize that unit squares are equal.
M.4.23.3: Recall the formula for perimeter (P= L+L+W+W or P=2L + 2W).
M.4.23.4: Recall basic addition and multiplication facts.

Prior Knowledge Skills:
  • Define perimeter.
  • Recall the formula for perimeter (P= L+L+W+W or P=2L + 2W).
  • Recall basic addition and multiplication facts.
  • Build and draw shapes to possess defining attributes.
  • Express the length of an object as a whole number of length units by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps.
  • Describe measurable attributes of objects such as length or weight.
  • Define rows, columns, and total.
  • Identify rectangle.
  • Count to 20 by ones.
  • Trace partitions in a rectangle.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.4.23 Determine the area of a square or rectangle by counting units of measurement (e.g., unit squares).
Tags: area, area of rectangles, length, rectangle, width
License Type: Public Domain
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
Accessibility
Comments

This resource contains a background essay and discussion questions.

  This resource provided by:  
Author: Kristy Lacks
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