Flo o r. Lord's Rooms. Hall 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. A Perimeter and Area Freebie

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1 Manor Flo o r P l an Kitchen Lord's Rooms Bathroom Guest Rooms Closet Indoor Garden Sitting Room Hall Ball Room / / / / / / / / / / / / / / / / / / / A Perimeter and Area Freebie *Part of the Castle Architect Project*

2 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. Kitchen Lord's Rooms Bathroom Guest Rooms Closet Indoor Garden Sitting Room Hall Ball Room / / / / / / / / / / / / / / / / / / /

3 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 rows columns Large Array x 8 or 8 x rows columns Broken Up Array 0 0 x 0 =00 0 x 4 =40 40 x 4 x 0=0 x 4=8 0 4 x 4 = Area Model Grid Area Model x 4= 68 Blank Area Model 0 0 x 0 =00 0 x 4 = x 0 =00 0 x 4 =40 40 x 0=0 x 4= x 0=0 x 4=

4 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. Kitchen Lord's Rooms Bathroom Guest Rooms Closet Indoor Garden Sitting Room Hall Ball Room / / / / / / / / / / / / / / / / / / / Equations Answer Equations Answer Kitchen: A= A= Closet: A= A= Guest Rooms: A= A= Sitting Room: A= A= Ball Room: A= A= Indoor Garden: A= A= Bathroom: A= A=

5 : 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. 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. P= 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 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=

6 : 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. 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. P= 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=

7 : Find the total area of all stairways in the space below. 3 x = 3 x = 4 3 x = 3 x = 4 A= 4cm 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 7 x 4 = 8 = 46cm 3 x 6 = 8 4cm Perimeter = 34 cm Hallways: Break the hallways into smaller rectangles to find the area. Add areas together in the space below for the total. x = x 4=8 x =4 3 x =6 4 x =4 7 x 3= x 3=3 3 x 6=8 3 x =6 x = 3 x =6 4 x =4 7 x =4 6 x = =9 cm 46cm P= 34 cm 35 6 x +3=5 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 cm 9 x length width fractions = = = = 75 * Area is the same total area as the Keep Floor Plans Lord's Manor Area= 75 cm Lord's Manor Perimeter: Use the space below to add up the sides to find the perimeter side side side side = = = 67 * Perimeter is the same total perimeter as the Keep Floor Plans Lord's Manor Perimeter= 67 cm

8 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. x Kitchen x x 4 Lord's Rooms 7 x 4 3 x Bathroom 4 x 3 x x 3 Closet x 3 x 6 3 x 6 3 x 7 x 3 Indoor Garden Guest Rooms 4 x 6 x Sitting Room 7 x Hall 6 x +3 Ball Room / / / / / / / / / / / / / / / / / / / Equations Answer Equations Answer Kitchen: A= 3 x 4 A= cm P= P= 4 cm Closet: A= x 3 A= 6 cm P= P= 0 cm Guest Rooms: A= 6 x 3 A= 8 cm P= P= 8 cm Sitting Room: A= 7 x + 3 A= 7 cm P= P= 9 cm Ball Room: A= 6 x 4 +3 A= 7cm P= P= cm Indoor Garden: A= 4 x A= 8 cm P= P= cm Bathroom: A= x 4 A= 8cm P= P= cm

9 Like this Freebie? It's a part of the Castle Architect Project! Ca s t l e A r c hi t e c t A Perimeter and Area Project This freebie is the teacher's example for the keep floor plans. Build the whole castle!