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Area & Perimeter Interactive Notebook – Math Set

Area and perimeter, aligned to VA SOL 3.8, are taught through interactive notes pages and matching you-try practice with answer keys.
Grades
Grade 3, Elementary
File type
PDF
Preparation
Print ready

Updated Sep 25, 2023

Subject
Math, Measurements
Topic
mathematics, measurements
Resource types
Worksheets & Printables, Worksheets
Preparation
Print ready

About this resource

What's inside this resource

This product covers the 2016 Virginia (VA) Standards of Learning (SOL) 3.8: The student will estimate and a) measure the distance around a polygon in order to determine its perimeter using U.S. Customary and metric units; and b) count the

(note that this will also work for the 2023 VA SOL 3.MG.2  The student will use multiple representations to estimate and solve problems, including those in context, involving area and perimeter (in both U.S. Customary and metric units).

It contains notes pages on what area and perimeter are, how to find area using a formula, how to find area using a grid, how to find the perimeter of a polygon. It also has notes pages on finding the perimeter of equilateral shapes.

There are practice pages for each topic, with an answer key included.

The notes pages come in two sizes. The first size is a full-page size. You can print them as-is, or you can print them two to a pages. This is what I do as it saves on paper and the sheets will fit in a notebook. The second size is formatted to fit on a standard composition notebook page.

Additionally, there are two links included in the pdf: one which opens a digital version of the notes, and another that opens a slide show version, optimized for a projector or interactive board. In both cases, which you click the link, you will be prompted to make a copy, which you can then use with Google Slides or download and use with Keynote or PowerPoint.

What's included?

About Area

Finding the Area of a Rectangle

Finding Area Using a Grid

Area Practice

About Perimeter

Finding Perimeter

Finding Perimeter of Equilateral Shapes

Finding Perimeter Using a Grid

Perimeter Practice

For more no and low-prep activities, check these out:

October No-Prep Math Activities

No Prep Spiral Math Daily Review and Quizzes

Comparing Money Practice 1

Identifying Money Practice

Area and Perimeter Digital Activity

Counting Money Practice

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Find the area of a rectangle or square by multiplying length by width.

  • Find the area of an irregular shape on a grid by counting unit squares.

  • Find the perimeter of a polygon by adding the length of each side.

  • Find the perimeter of a shape with all equal sides by multiplying the side length by the number of sides.

  • Find the perimeter of a shape on a grid by counting the unit length of each side.

Teaching tips

  • Print the full-size pages two-to-a-sheet to save paper, or use the separate notebook-sized set that is already formatted to cut and glue into a spiral or composition notebook, as the file itself suggests.

  • Each you-try practice page includes a real-world context question (a tablecloth, a garden's stone border, a fenced yard) alongside the plain shape problems, so plan a moment to walk through translating the word problem into the shape before students solve it.

  • The perimeter Method 2 pages remind students the equal-sides shortcut only works when every side is the same length; flag this limitation before students reach for it on an irregular polygon.

  • Use the question sheets as an exit ticket or quick review, since the file's own directions note they can double as homework, a worksheet, a review, or a quiz.

Skills covered

  • Area by multiplication — students apply the formula length x width to find the area of rectangles and squares given side measurements in different units (cm, in, ft).

  • Area by unit counting — students find area on a grid by counting whole and shaded unit squares, including a real-world tablecloth-fabric problem.

  • Perimeter by addition — students add each side's length to find the total perimeter of irregular polygons.

  • Perimeter by multiplication — students find the perimeter of equal-sided shapes (including a pentagon and a heptagon) by multiplying one side's length by the number of sides.

  • Perimeter by unit counting — students count grid units along each side of a shape, including a garden-border stone-count problem.

Good to know

Questions teachers ask about this resource

Why does the perimeter section include three different methods instead of just one?

Each method fits a different kind of shape: adding the sides works for any polygon, multiplying works only when every side is equal, and counting grid units is for shapes drawn on a grid rather than labeled with measurements.

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Curriculum

Standards, concepts & topics

Standards

  • 3. MD.C.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 the 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 wholenumber side lengths a and b + c is the sum of a × b and a × 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 nonoverlapping parts, applying this technique to solve real world problems.
  • 3. MD.D.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.
  • 3. MD.C.6 — Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).

Core concepts

  • area

  • perimeter

  • square units

  • polygons

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