Man n a or Floor Pl Lord's Rooms Stairs Bathroom Kitchen Closet Stairs Stairs Indoor Garden Guest Rooms Stairs Hall Ball Room Sitting Room 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 Perimeter and Area Lord's Manor Floor Plan Teaching Tips -The X's are stairs. -The hallway and the lord's room can be broken down in different ways. The key shows one way. You can decide if you'd like for the equations to be written down for the stairs and parts of the hallway. -For the rectangles with fractions, the main area is written as a multiplication equation and then the fractions are added to it. Model how to set up this equation and the order to solve it to avoid student confusion. - An area model is used for the double digit multiplication for the total area. This page is available without the area model as well for additional solving methods. Lord's Rooms Bathroom Kitchen Stairs Closet Stairs Stairs Indoor Garden Guest Rooms Stairs Hall Sitting Room 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 Ball Room 1/2 1/2 1/2 1/2 1/2 1/2 What is an Area Model? An area model takes the array for the multiplication problem and breaks it into smaller arrays to easily solve double or triple digit multiplication. Arrays 3 x 4 or 4 x 3 2 x 8 or 8 x 2 Large Array Broken Up Array rows columns rows columns 10 10 x 10 =100 10 x 4 =40 140 2 2 x 10=20 2 x 4=8 +28 168 4 10 12 x 14 = 168 12 x 14 Area Model Grid Area Model 10 2 10 x 10 =100 2 x 10=20 10 10 x 4 =40 2 x 4=8 4 12 x 14= 168 140 +28 168 Blank Area Model 10 10 x 10 =100 10 x 4 =40 140 2 2 x 10=20 2 x 4=8 +28 12 4 10 14 168 Name:______________ Lord's Manor Floor Plan Use the floor plan model to find the length and width of each room. Write the equations below for each room and then the answers. Remember: Area= length x width and Perimeter= side+side+side+side. Stairs Closet Stairs Lord's Rooms Bathroom Kitchen Stairs Indoor Garden Guest Rooms Stairs Hall Ball Room Sitting Room 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 Equations 1/2 1/2 1/2 1/2 1/2 1/2 Equations Answer Answer Kitchen: A= A= P= P= Closet: A= A= P= P= Guest Rooms: A= A= P= P= Sitting Room: A= A= P= P= Ball Room: A= A= P= P= Indoor Garden: A= A= P= P= Bathroom: A= A= P= P= Lord's Manor Floor Plan Stairs: Find the total area of all stairways in the space below. Hallways: Break the hallways into smaller rectangles to find the area. Add areas together in the space below for the total. A= ___ Lord's Rooms: Break the Lord's Rooms into two smaller rectangles to solve for area. Use the space below to find the total area of the smaller rectangles combined. Then find the perimeter of the Lord's Rooms as one room. A= ___ P= ___ A= ___ Lord's Manor Area: Use the area model to help you multiply the length and width. Add the sums in the space below. Don't forget to add the fractions to the total. _____ x _____ +_____ length width 10 fractions 14 4 10 9 19 Lord's Manor Area=_____ Lord's Manor Perimeter: Use the space below to add up the sides to find the perimeter. ____ +____+____+____ side side side side Lord's Manor Perimeter=____ Lord's Manor Floor Plan Stairs: Find the total area of all stairways in the space below. Hallways: Break the hallways into smaller rectangles to find the area. Add areas together in the space below for the total. A= ___ Lord's Rooms: Break the Lord's Rooms into two smaller rectangles to solve for area. Use the space below to find the total area of the smaller rectangles combined. Then find the perimeter of the Lord's Rooms as one room. A= ___ P= ___ A= ___ Lord's Manor Area: Multiply the length and width in the space below. Don't forget to add the fractions to the total. _____ x _____ +_____ length width fractions Lord's Manor Area=_____ Lord's Manor Perimeter: Use the space below to add up the sides to find the perimeter. ____ +____+____+____ side side side side Lord's Manor Perimeter=____ Lord's Manor Floor Plan Hallways: Break the hallways into smaller rectangles to find the area. Add areas together in the space below for the total. Stairs: Find the total area of all stairways in the space below. 3x1=3 2x2=4 3x1=3 2x2=4 2 14 cm 1 x 2= 2 10 2 x 4=8 2 x 2=4 10 3 x 2=6 4 x 1=4 25 7 x 3=21 2 ___ cm A=14 Lord's Rooms: Break the Lord's Rooms into two smaller rectangles to solve for area. Use the space below to find the total area of the smaller rectangles combined. Then find the perimeter of the Lord's Rooms as one room. Area 1 x 3=3 7+4+2+6+3+6 +2 + 4 = 34 cm 2 46 cm A= ___ 21 3 x 6=18 3 x 2=6 39 8 2 x 1=2 3 x 2=6 10 4 x 1=4 7 x 2=14 6 x 1=6 20 35 6 x 2 +3=15 Perimeter 7 x 4 = 28 2 = 46 cm 3 x 6 = 18 45 cm ___ P= 34 45+39+35=119cm2 ___ cm A= 119 2 Lord's Manor Area: Use the area model to help you multiply the length and width. Add the sums in the space below. Don't forget to add the fractions to the total. 1 19 x _____ 92 14 +_____ _____ length width 10 fractions 100 90 = 190 40 36 =76 14 4 190 + 76 = 266 10 266 + 9 12 = 275 12 9 19 * Area is the same total area as the Keep Floor Plans 1 2 275 2 cm Lord's Manor Area=_____ Lord's Manor Perimeter: Use the space below to add up the sides to find the perimeter. 14 12 19 14 12 19 +____+____+____ ____ side side side side 19 + 19 = 38 14 12 + 14 12 = 29 38 + 29 = 67 * Perimeter is the same total perimeter as the Keep Floor Plans 67 cm Lord's Manor Perimeter=____ Lord's Manor Floor Plan Use the floor plan model to find the length and width of each room. Write the equations below for each room and then the answers. Remember: Area= length x width and Perimeter= side+side+side+side. 2x4 Stairs Lord's Rooms 2x2 7x4 Stairs 1x3 Closet 4x1 3x2 Stairs 3x2 Bathroom Kitchen 1x2 7x3 3x6 3x6 2x1 3x2 Guest Rooms Indoor Garden 4 x 1 Stairs 7x2 Hall 6x1 Sitting Room Ball Room 6 x 2 +3 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 Equations 1/2 1/2 1/2 1/2 1/2 1/2 Equations Answer Answer Kitchen: A= 3 x 4 A= 12 cm2 P= 3+4+3+4 P= 14 cm Closet: A= 2 x 3 A= 6 cm 2 P= 2+3+2+3 P= 10 cm Guest Rooms: A= 6 x 3 A= 18 cm2 P= P= 18 cm 2 A=17 1 2cm 6+3+6+3 P= 7 + 212 + 7 + 2 12 P= 19 cm Sitting Room: A= 7 x 2 + 3 1 2 Ball Room: A= 6 x 4 +3 A= 27cm2 P= 6 + 4 12 + 6 + 4 12 P= 21 cm Indoor Garden: A= 4 x 2 A= 8 cm2 P= 4+2 +4+2 P= 12 cm Bathroom: A= 2 x 4 A= P= 2+4 +2+4 P= 12 cm 8 cm2 Like this Freebie? It's a part of the Castle Architect Project! This freebie is the teacher's example for the keep floor plans. Build the whole castle! Click the picture to check it out! More Resource Fun Front Cover Font By: TeachesThirdInGeorgia
