Area and perimeter of figures on grids

Learning Objectives Define area and perimeter in the context of grid figures. Identify and count unit squares to determine the area of a figure on a grid. Identify and count unit lengths to determine the perimeter of a figure on a grid. Differentiate between area and perimeter and their respective units of measurement. Apply appropriate formulas or counting methods to find the area and perimeter of rectangles on grids. Solve real-world problems involving area and perimeter of figures on grids. Ever wondered how much carpet you need for your room or how long a fence should be for your garden? 🏡 In this lesson, you'll discover how to measure the space inside a shape (area) and the distance around its edges (perimeter) when shapes are drawn on a grid. This skill helps us...

TermDefinitionExample GridA pattern of horizontal and vertical lines that form a series of squares, used to help measure and draw shapes.A checkerboard or graph paper is an example of a grid. Unit SquareA square with sides that are each 1 unit long. It is the basic unit for measuring area on a grid.If a square on a grid has sides of 1 centimeter, it is a '1 square centimeter' unit square. AreaThe amount of surface a two-dimensional shape covers. It is measured in square units.The area of a rectangle that covers 12 unit squares is 12 square units. PerimeterThe total distance around the outside edge of a two-dimensional shape. It is measured in linear units (like units, cm, m).If you walk around the edge of a square park, the total distance you walk is the perimeter. Unit LengthTh...

Area by Counting Unit Squares $A = \text{Number of unit squares covered by the figure}$ To find the area of any figure on a grid, count how many full unit squares it covers. Each full square counts as 1 square unit. Perimeter by Counting Unit Lengths $P = \text{Sum of all unit lengths along the boundary of the figure}$ To find the perimeter of any figure on a grid, count the number of unit lengths along its outer edges. Each segment of the grid line forming the boundary counts as 1 unit. Area of a Rectangle on a Grid $A = \text{length} \times \text{width}$ For a rectangular figure on a grid, count the number of units along its length and its width, then multiply these two numbers to find the area in square units. Perimeter of a Rectangle on a Grid $P = 2 \times...