Area of a Square Teacher Resources

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Students define the different formulas to solve the area of a polygon. In this area lesson, students find the area of rectangles, squares, parallelograms, triangles, trapezoids and circles. They calculate the area of plane figures given the side or height of the shape.
Students find patterns relating the lengths of the sides of squares to their areas. In this squares and square roots lesson, students draw squares and find their areas. They estimate the sides of square when given the area. Students use the Pythagorean Theorem to check their work. The culminating assignment, requires students to write a short paper about squares.
In this area of polygons worksheet, 10th graders solve and complete 12 various types of problems. First, they find the area of a given square. Then, students find the length of an original square as illustrated. They also write an expression for the area of a square.
In this area of polygons worksheet, students find the area of 12 polygons. Each shape is drawn on a grid. The area of each square on the grid is given. Problems are all multiple choice.
Explore the concept of area of shapes. Learners will find the area of triangles, squares, and rectangles using a geoboard application on the graphing calculator. They will also find the area of trapezoids and other irregular shapes by dividing the trapezoids into two or more triangles.
Fifth graders use area to calculate the cost for new flooring. They find the area of a square or rectangle. Calculating Area problems and worksheet are attached.
Seventh graders discover the relationship between the lengths of the legs of a triangle and its hypotenuse. They use visual representations of area models to discover that the sum of the areas created by squaring the legs is equal to the area created when the hypotenuse is squared.
Teach your class how calculate the perimeter and area of a square by creating graphs. They graph different polynomial functions using the Ti calculator.
Fourth graders find the perimeter of a geometric shape by adding the lengths of the sides. They find the area of a square or rectangle by counting square units. Students use multiplication to find the area of a rectangle. They estimate the area of irregular figures.
Eighth graders solve problems involving percentage increases and decreases. Using given percentages, 8th graders transform a square into a rectangle. They apply the area formulas for squares and rectangles.Students observe the percent of change in the area of the two items.
Pupils practice using the formula to calculate the area of a square or triangle. They participate in large group guided practice using simple area of squares problems then complete a series of problems calculating the area of rectangles.
Here is an activity that focuses on the actual construction of the square inscribed in a circle. The lesson plan allows for the use of dot paper or graph paper with straight edges and protractors, or dynamic geometry software programs. After construction, learners verify that the figure is a square. An additional small group activity has them approximate the percentage area of the square within the circle. 
Four triangles are depicted for learners to construct on a geoboard. They compute and compare the areas, and so meet one of the sixth grade Common Core standards for geometry. Note that the set of triangles does not include a right triangle, so to completely fulfill requirements, more resources are needed. This would make a compact pop quiz for your class.
While the lesson focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in in half; can they relate the area of the square to the right triangles? Then they use the webpage, which provides different triangles on a coordinate grid to calculate the the area. The lesson discusses right triangles, while medium and hard levels of the activity have non-right triangle examples. Learners should be able to find the area of a triangle when height or base is not obvious using the distance formula or box method if using the hard level examples. 
This is a good model for learners to visualize triangles of the same base and height. They can can begin to comprehend that these triangles will have the same area no matter how the triangle is drawn. It is part of a series of resources which makes a good transition question or mini-assessment.
Young scholars investigate quadratic equations and areas. In this algebra lesson, students convert word problems into algebraic equations to explore functions. They graph their equations and interpret the data to see if it represents a function.
Given measurement information on individual squares within a larger shape, scholars determine the total area of that square or rectangle. For one of these three problems they draw the shape knowing its total area and the measurements of each square within it. Consider projecting this as an all-class warm up because of the large text and few problems.
In this Pythagorean Theorem worksheet, 10th graders solve and complete 19 various types of problems. First, they draw the square shown and divide its sections as shown. Then, students cut out the 6 parts of the square and rearrange the 4 triangles to form the square shown. They also find the total area of the two squares.
Middle school geometers determine the area of a shape on a geoboard or dot paper and draw figures that meet given area conditions. Working as a class, they develop and discuss various ways to draw geometric shapes with specified properties. Using the provided worksheet, they create geometric figures according to the teacher's directions.
Use the TI-92 to generate a sequence by determining the areas of squares inscribed in squares. Then write this sequence using the recursive form and the explicit form for the sequence. Learners also explore geometric patterns as they investigate the pattern determined by the areas of the square.

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Area of a Square