Area Formula Practice

Area Formula Practice

Ages 8–11 · 4 minutes · Math

Practice using the area formula to find the areas of rectangles

Students will practice using the formula Area = Length × Width with rectangles that are not broken down into unit squares, simply by being given the side lengths

Part of

Standards alignment

Common Core State Standards

  • 3.MD.C.7.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.
  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Alabama

  • MA19.3.22 — Relate area to the operations of multiplication using real-world problems, concrete materials, mathematical reasoning, and the distributive property.
  • MA19.4.23 — Apply area and perimeter formulas for rectangles in real-world and mathematical situations.
  • MA19.3.20 — Find the area of a rectangle with whole number side lengths by tiling without gaps or overlays and counting unit squares.

Alaska

  • 3.MD.9.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.
  • 3.MD.9 — Relate area to the operations of multiplication and addition.
  • 3.MD.9.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. For example, after tiling rectangles, develop a rule for finding the area of any rectangle.
  • 4.MD.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Arizona

  • 3.MD.C.7 * — Relate area to the operations of multiplication and addition.
  • 3.MD.C.7.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.
  • 3.MD.C.7.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.
  • 4.MD.A.3 * — Apply the area and perimeter formulas for rectangles in mathematical problems and problems in real-world contexts including problems with unknown side lengths. See Table 2.
  • 3.OA.C.7 * — Fluently multiply and divide within 100. By the end of Grade 3, know from memory all multiplication products through 10 x 10 and division quotients when both the quotient and divisor are less than or equal to 10.

Arkansas

  • 3.GM.6 — Find the area of a rectangle with whole number side lengths by modeling with unit squares and multiplying the side lengths to show the results are the same.
  • 3.GM.7 — Multiply side lengths to find areas of rectangles with whole number side lengths in the context of solving real- world and mathematical problems.
  • 4.GM.7 — Apply the area and perimeter formulas for rectangles and figures composed of two or more rectangles in real-world situations.

California

  • 3.MD.C.7.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.
  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Colorado

  • 3.MD.C.7.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.
  • 3.MD.C.7 — Use concepts of area and relate area to the operations of multiplication and addition.
  • 3.MD.C.7.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.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real-world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Connecticut

  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 3.MD.C.7.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.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Delaware

  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 3.MD.C.7.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.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Florida

  • MA.3.GR.2.2 — Find the area of a rectangle with whole-number side lengths using a visual model and a multiplication formula.
  • MA.3.GR.2.3 — Solve mathematical and real-world problems involving the perimeter and area of rectangles with whole-number side lengths using a visual model and a formula.
  • MA.3.NSO.2.4 — Multiply two whole numbers from 0 to 12 and divide using related facts with procedural reliability.

Georgia

  • 3.GSR.7 — Identify area as a measurable attribute of rectangles and determine the area of a rectangle presented in real-life, mathematical problems.
  • 3.GSR.7.3 — Discover and explain how area can be found by multiplying the dimensions of a rectangle.
  • 3.PAR.3 — Use part-whole strategies to solve real-life, mathematical problems involving multiplication and division with whole numbers within 100.
  • 3.GSR.7.2 — Determine the area of rectangles (or shapes composed of rectangles) presented in relevant problems by tiling and counting.

Hawaii

  • 3.MD.C.7a — 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.
  • 3.MD.C.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.C.7 — Relate area to the operations of multiplication and addition.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems.

Idaho

  • 3.MD.C.7.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.
  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real-world and mathematical problems.

Illinois

  • 3.MD.C.7.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.
  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Indiana

  • 3.M.5 — Find the area of a rectangle with whole-number side lengths by modeling with unit squares, and show that the area is the same as would be found by multiplying the side lengths. Identify and draw rectangles with the same perimeter and different areas or with the same area and different perimeters. (E)
  • 4.M.4 — Apply the area and perimeter formulas for rectangles to solve real-world and other mathematical problems. Investigate the area of complex shapes composed of rectangles by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts; apply this technique to solve real-world problems and other mathematical problems. (E)
  • 3.CA.6 — Demonstrate fluency with mastery of multiplication facts and corresponding division facts of 0 to 10.

Iowa

  • 3.MD.C.7.b — Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 3.MD.C.7.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.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.
  • 3.OA.C.7 — Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division or properties of operations. For example, knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8. By the end of Grade 3, flexibly, efficiently, and accurately find all products of two one-digit numbers. Note: Fluency of this standard is critical by the end of grade level.

Kansas

  • 3.MD.8.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.
  • 3.MD.8 — Relate area to the operations of multiplication and addition
  • 3.MD.8.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.
  • 4.MD.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems explaining and justifying the appropriate unit of measure. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Kentucky

  • KY.3.MD.7.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.
  • KY.3.MD.7 — Relate area to the operations of multiplication and addition.
  • KY.3.MD.7.a — Find the area of a rectangle with whole-number side lengths by tiling it and show the area is the same as would be found by multiplying the side lengths.
  • KY.4.MD.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems.

Louisiana

  • 3.MD.C.7.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.
  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Maine

  • 3.MD.C.7a — 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.
  • 3.MD.C.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.C.7 — Relate area to the operations of multiplication and addition.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Maryland

  • 3.MD.C.7.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.
  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Massachusetts

  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 3.MD.C.7.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.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real-world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor. (Note: When finding areas of rectangular regions answers will be in square units. For example, the area of a 1 cm x 1 cm rectangular region will be 1 square centimeter (1 cm2 , students are not expected to use this notation.) When finding the perimeter of a rectangular region answers will be in linear units. For example, the perimeter of the region is: 1cm + 1cm + 1cm +1cm = 4 cm or 2(1cm) + 2(1cm) = 4 cm).

Michigan

  • 3.MD.C.7.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.
  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.

Minnesota

  • 4.3.2.3 — Understand that the area of a two-dimensional figure can be found by counting the total number of same size square units that cover a shape without gaps or overlaps. Justify why length and width are multiplied to find the area of a rectangle by breaking the rectangle into one unit by one unit squares and viewing these as grouped into rows and columns. For example: How many copies of a square sheet of paper are needed to cover the classroom door? Measure the length and width of the door to the nearest inch and compute the area of the door.
  • 4.3.2.4 — Find the areas of geometric figures and real-world objects that can be divided into rectangular shapes. Use square units to label area measurements.
  • 5.2.3.3 — Evaluate expressions and solve equations involving variables when values for the variables are given. For example: Using the formula, A= ℓw, determine the area when the length is 5, and the width 6, and find the length when the area is 24 and the width is 4.
  • 4.1.1.1 — Demonstrate fluency with multiplication and division facts.

Mississippi

  • 3.MD.7.b — Multiply side lengths to find areas of rectangles with whole-number side lengths (where factors can be between 1 and 10, inclusively) in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.
  • 3.MD.7.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.
  • 4.MD.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Missouri

  • 3.GM.C.11 — Demonstrate that tiling a rectangle to find the area and multiplying the side lengths result in the same value.
  • 3.GM.C.12 — Multiply whole-number side lengths to solve problems involving the area of rectangles.
  • 3.GM.C.10 — Label area measurements with squared units.
  • 4.GM.C.8 — Apply the area and perimeter formulas for rectangles to solve problems.

Montana

  • 3.MD.C.7.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.
  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.
  • 3.OA.C.7 — Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

Nebraska

  • 3.G.2.c — Find the area of a rectangle with whole-number side lengths by modeling with unit squares; show that area can be additive and is the same as would be found by multiplying the side lengths.
  • 4.G.3 — Area and Perimeter: Students will apply perimeter and area formulas for rectangles.
  • 4.G.3.a — Apply perimeter and area formulas for rectangles to solve authentic problems.

Nevada

  • 3.MD.C.7.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.
  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

New Hampshire

  • 3.MD.C.7.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.
  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

New Jersey

  • 3.MD.C.7a — 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.
  • 3.MD.C.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.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.
  • 3.OA.C.7 — Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

New Mexico

  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 3.MD.C.7.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.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

New York

  • NY-3.MD.7.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.
  • NY-3.MD.7.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.
  • NY-4.MD.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems.

North Carolina

  • NC.3.MD.7 — Relate area to the operations of multiplication and addition. • 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. • Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving problems, and represent whole-number products as rectangular areas in mathematical reasoning. • Use tiles and/or arrays to illustrate and explain that the area of a rectangle can be found by partitioning it into two smaller rectangles, and that the area of the large rectangle is the sum of the two smaller rectangles.
  • NC.4.MD.3 — Solve problems with area and perimeter. • Find areas of rectilinear figures with known side lengths. • Solve problems involving a fixed area and varying perimeters and a fixed perimeter and varying areas. • Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
  • NC.3.OA.7 — Demonstrate fluency with multiplication and division with factors, quotients and divisors up to and including 10. • Know from memory all products with factors up to and including 10. • Illustrate and explain using the relationship between multiplication and division. • Determine the unknown whole number in a multiplication or division equation relating three whole numbers.

North Dakota

  • 3.GM.M.8 — Find the area of a rectangle with whole-number side lengths by modeling with unit squares; show that area can be additive and is the same as would be found by multiplying the side lengths.
  • 4.GM.M.5 — Apply the area and perimeter formulas for rectangles, including connected rectangular figures, in problems.
  • 4.AR.OA.1 — Automatically multiply and divide through 10x10.

Ohio

  • 3.MD.7.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.
  • 3.MD.7.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.
  • 3.MD.7 — Relate area to the operations of multiplication and addition.

Oklahoma

  • 3.GM.2.2 — Analyze why length and width are multiplied to find the area of a rectangle by decomposing the rectangle into one unit by one unit squares and viewing these as rows and columns to determine the area.
  • 3.GM.2.4 — Find the area of two-dimensional figures by counting the total number of same-size unit squares that fill the shape without gaps or overlaps.

Oregon

  • 3.GM.C.7 — Relate area to multiplication and addition. Use relevant representations to solve problems in authentic contexts.
  • 4.GM.B.6 — Apply the area and perimeter formulas for rectangles in authentic contexts and mathematical problems.
  • 3.OA.A.3 — Use multiplication and division within 100 to solve problems in authentic contexts involving equal groups, arrays, and/or measurement quantities.

Pennsylvania

  • CC.2.4.3.A.5 — Determine the area of a rectangle and apply the concept to multiplication and to addition.
  • CC.2.2.3.A.1 — Represent and solve problems involving multiplication and division.
  • CC.2.2.3.A.3 — Demonstrate multiplication and division fluency.

Rhode Island

  • 3.MD.C.7.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.
  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real-world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor. (Note: When finding areas of rectangular regions answers will be in square units. For example, the area of a 1 cm x 1 cm rectangular region will be 1 square centimeter (1 cm2, students are not expected to use this notation.) When finding the perimeter of a rectangular region answers will be in linear units. For example, the perimeter of the region is: 1cm + 1cm + 1cm +1cm = 4 cm or 2(1cm) + 2(1cm) = 4 cm).

South Carolina

  • 4.MDA.3 — Apply the area and perimeter formulas for rectangles.
  • 3.ATO.3 — Solve real-world problems involving equal groups, area/array, and number line models using basic multiplication and related division facts. Represent the problem situation using an equation with a symbol for the unknown.
  • 3.MDA.5b — Understand the concept of area measurement to include measure area by building arrays and counting standard unit squares.
  • 3.ATO.7 — Demonstrate fluency with basic multiplication and related division facts of products and dividends through 100.

South Dakota

  • 3.MD.C.7.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.
  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Tennessee

  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area of rectangles to the operations of multiplication and addition.
  • 3.MD.C.7.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.
  • 4.MD.A.3 — Know and apply the area and perimeter formulas for rectangles in real- world and mathematical contexts. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Texas

  • 3.6C — determine the area of rectangles with whole number side lengths in problems using multiplication related to the number of rows times the number of unit squares in each row;
  • 4.5C — use models to determine the formulas for the perimeter of a rectangle (l + w + l + w or 2l + 2w), including the special form for perimeter of a square (4s) and the area of a rectangle (l × w); and
  • 4.5D — solve problems related to perimeter and area of rectangles where dimensions are whole numbers.

Utah

  • 3.MD.7 — Relate area to the operations of multiplication and addition (refer to 3.OA.5).
  • 3.MD.7.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.
  • 3.MD.7.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 wholenumber products as rectangular areas in mathematical reasoning.
  • 4.MD.3 — Apply the area and perimeter formulas for rectangles in real-world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Vermont

  • 3.MD.C.7.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.
  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Virginia

  • 4.MG.3b — Determine the area and perimeter of a rectangle when given the measure of two adjacent sides (in whole number units), with and without models.
  • 4.MG.3 — The student will use multiple representations to develop and use formulas to solve problems, including those in context, involving area and perimeter limited to rectangles and squares (in both U.S. Customary and metric units). Students will demonstrate the following Knowledge and Skills:
  • 4.MG.3a — Use concrete materials and pictorial models to develop a formula for the area and perimeter of a rectangle (including a square).
  • 4.MG.3c — Determine the area and perimeter of a square when given the measure of one side (in whole number units), with and without models.
  • 4.MG.3f — Solve contextual problems involving area and perimeter of rectangles and squares.

Washington

  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 3.MD.C.7.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.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Washington, D.C.

  • 3.MD.C.7.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.
  • 3.MD.C.7.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.
  • 3.MD.C.7 — Relate area to the operations of multiplication and addition.
  • 4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

West Virginia

  • M.3.24 — 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 wholenumber 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 x b and ax c. Use area models to represent the distributive property in mathematical reasoning. d. Recognize area as additive and 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.
  • M.3.7 — Fluently (efficiently, flexibly, and accurately) multiply and divide within 100 using strategies such as the relationship between multiplication and division and the properties of operations. By the end of Grade 3, know the multiplication table (facts) within 100 (Os10s) efficiently.
  • M.4.21 — Apply the area and perimeter formulas for rectangles in real-world and mathematical problems by viewing the area formula as a multiplication equation with an unknown factor (e.g., find the width of a rectangular room given the area of the flooring and the length).

Wisconsin

  • M.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 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.
  • M.4.MD.A.3 — Apply the area and perimeter formulas for rectangles in real-world and mathematical problems.
  • M.3.OA.C.6 — Use multiplicative thinking to multiply and divide within 100. a. Use the meanings of multiplication and division, the relationship between the operations (e.g., knowing that 8 x 5 = 40, one could reason that 40 ÷ 5 = 8), and properties of operations (e.g., the distributive property) to develop and understand strategies to multiply and divide within 100. b. Flexibly and efficiently use strategies, the relationship between the operations, and properties of operations to find products and quotients with multiples of 0, 1, 2, 5, & 10 within 100.

Wyoming

  • 3.MD.I.7.A — Find the area of a rectangle with whole-number side lengths (dimensions) by multiplying them. Show that this area is the same as when counting unit squares.
  • 3.MD.I.7.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.
  • 4.MD.I.3 — Apply the area and perimeter formulas for rectangles in real world and mathematical problems.