Multiplication: Finding Area, Solving Word Problems, and Using Scaled Graphs

Lesson 14: Understand Area

Standard 3.MD.5

• Recognize area as an attribute of plane figures and understand concepts of area measurement.

  • A square with side length one unit, called "a unit square," is said to have "one square unit" of area, and can be used to measure area.

  • 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.

Standard 3.MD.6

• Measure area by counting unit squares (square centimeters, square meters, square inches, square feet, and improvised units).

Objectives:

• Understand area

• Find area by counting square units

• Measure area in square units, such as square inches or square feet.

Lesson 15: Multiply to Find Area

Standard 3.MD.7: Relate area to the operations of multiplication and addition (refer to 3.OA.5).

• 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.

Objectives:

• Find the area  of a rectangle by using square tiles.

• Find the area of a rectangle by multiplying.

• Solve word problems about area.

Lesson 16: Add Areas

Standard 3.MD.7: Relate area to the operations of multiplication and addition (refer to 3.OA.5).

• 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.

Objectives:

• Find the area of a larger rectangle by breaking it into smaller rectangles

• Find the area of other shapes by breaking them into rectangles

Lesson 32: Area and Perimeter

Standard 3.MD.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.

Objectives:

• Find the area of a larger rectangle by breaking it into smaller rectangles

• Find the area of other shapes by breaking them into rectangles

Lesson 17: Solve One-Step Word Problems Using Multiplication

Lesson 18: Solve Two-Step Word Problems Using the Four Operations

Lesson 19: Scaled Graphs