Area of Composite Figures and Shapes

This video tutorial covers seventh-grade math topics on expressions and equations, focusing on calculating the area of composite figures and figures on the coordinate plane. It includes solving problems involving parallelograms, ring shapes, and composite shapes made of triangles and semicircles. The lesson aims to help students master standards related to area, volume, and surface area calculations.

What is the primary goal of this lesson?

• To master algebraic equations

• To understand the area of composite figures and figures on the coordinate plane

• To explore the history of mathematics

• To learn about fractions and decimals

Which formula is used to find the area of a parallelogram?

• Base times height

• Pi times radius squared

• Length times width

• Half base times height

How can you determine the base of a parallelogram on a coordinate plane?

• By estimating visually

• By using the Pythagorean theorem

• By counting the number of units along the x-axis

• By measuring the diagonal

What is the strategy to find the height of a parallelogram on a coordinate plane?

• Counting units along the y-axis

• Using the diagonal length

• Estimating visually

• Using the circumference formula

What is the first step in solving a composite area problem involving a ring shape?

• Estimate the area visually

• Find the area of the outer circle

• Find the area of the inner circle

• Use the Pythagorean theorem

How do you find the area of a ring shape?

• Multiply the areas of two circles

• Subtract the area of the smaller circle from the larger circle

• Divide the area of the larger circle by the smaller circle

• Add the areas of two circles

What formula is used to find the area of a semicircle?

• Base times height

• Half of pi times radius squared

• Pi times radius squared

• Length times width

How is the height of the triangle determined in the composite area problem involving a semicircle?

• By using the diameter of the semicircle

• By measuring the diagonal

• By using the radius of the semicircle

• By estimating visually

What is the final step in solving the composite area problem with a triangle and a semicircle?

• Add the areas of the triangle and the semicircle

• Divide the area of the semicircle by the triangle

• Subtract the area of the triangle from the semicircle

• Multiply the areas of the triangle and the semicircle

What should students do if they have questions about finding areas on the coordinate plane?

• Wait until the next lesson

• Ignore them

• Look up answers online or ask a classmate or teacher

• Guess the answers