Lesson Topic: The Area of Parallelograms Through Rectangle Facts Lesson Objective: I can… Show the area formula for the region bounded by a parallelogram by composing it into rectangles. Understand that the area of a parallelogram is the area of the region bounded by the parallelogram. 1:47 Formatively assess Review/connect to previous learning New learning Why it’s important in the real world to know how to do/example (intro & closing) Differentiation – physical? Remind students of behavior goal

Review What are some examples of quadrilaterals? How do we find the area of a rectangle? What must be true about the relationship between the base and the height? Rectangles, squares, trapezoids, parallelograms Base times height They must be perpendicular (form a right angle), and the height must come from a vertex opposite the base. The height may be the side of a shape, or it may lie inside or outside the shape. 1:50 1 - Draw it

Review What makes a quadrilateral a parallelogram? True or false: A rectangle is a parallelogram. Predict: How can we find the are of a parallelogram? It has 2 sets of parallel lines True, but calling it a rectangle is more specific to the shape. 1:50 2 – raise hand

Let’s discover and prove the area formula for parallelograms… 1:50 Discuss – what can we do

Discussion We know the formula for the area of a rectangle is Area = base x height. What is the formula to calculate the area of a parallelogram? Why is the height the vertical line and not the slanted edge? The same as a rectangle, A = bh If we look back to the rectangle we created, the base and height of both the rectangle and the parallelogram are perpendicular to each other. So, the height of a parallelogram is the perpendicular line drawn from the top base to the bottom base. 1:50 2 – raise hand

A Different Example… How could we construct a rectangle from this parallelogram? Why can’t we use the same method we previously used? Where is the base and where is the height? 1:50 2 – raise hand

Options: Practice – Pull up exercises on today’s PowerPoint on your iPad and record in your notebook or on a separate sheet of paper Compose parallelograms into rectangles by cutting and re-arrange their parts like shown in today’s lesson. 1:50

Exercises 1:50

Exercises, cont. 1:50

Exercises, cont. 1:50

- Why are the area formulas for rectangles and parallelograms the same - Why are the area formulas for rectangles and parallelograms the same? - It does not matter how tilted a parallelogram is, the formula to calculate the are will always be the same as the area formula of a rectangle.

Evaluate Your Learning 4 3 2 1 How will you “Sharpen Your Saw”? 2:17