Level 0.5 - Area of Squares and Rectangles
Watch the video on finding the area of squares and rectangles.
Mandatory Conversation - Copy an example problem from the video above in your math notebook. Explain your understanding of the problem to the teacher.
Mandatory Task 1 ($100) - Complete the rectangle area worksheet. Do not find the perimeter. Find the area of each rectangle. You must show your work. Show the teacher once you have finished this task!!!
Mandatory Task 2 ($100) - Click the button below to log into Buzz Math. Go to the "assignments" tab and click on "measuring the area of squares and rectangles 1" Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Mandatory Task 3 ($100) - Click the button below to log into Buzz Math. Go to the "assignments" tab and click on "measuring the area of squares and rectangles 2." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Exit Slip
Solve.
1. What is the formula for finding the area of a square or rectangle?
2. Find the area for a rectangle with the given dimensions. Length = 6.5 inches Width = 6 inches
3. Find the are of a square with a side length of 9 centimeters.
4. Complete the problem below.
1. What is the formula for finding the area of a square or rectangle?
2. Find the area for a rectangle with the given dimensions. Length = 6.5 inches Width = 6 inches
3. Find the are of a square with a side length of 9 centimeters.
4. Complete the problem below.
Level 1 (Part 1) - Area of Triangles
Watch the introductory video on finding the area of squares, rectangles, and how they are related to finding the area of a triangles.
enVision - Topic 7, Lesson 7-2, MathXL for School: Practice and Problem Solving
Mandatory Conversation - Copy an example problem from the video above in your math notebook. Explain your understanding of the problem to the teacher.
Mandatory Task 1 ($100) - Correctly complete the triangle area worksheet. You must show your work. Show the teacher once you have finished this task!!!
Task 2 ($100) - Click the button below to log into Buzz Math. Go to the "assignments" tab and click on "finding the areas of triangles on a grid." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 3 ($100) - Click the button below to log into Buzz Math. Go to the "assignments" tab and click on"finding the areas of triangles." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 4 ($100) - Click the button below to log into Khan Academy. Search "area of triangles." Get 5 correct in a row. Show the teacher once you have finished this task!!!
Task 5 ($100) - Create a video of you finding the area of a triangle. The video must include commentary explaining the formula and the process used for finding the area of a triangle. Show the teacher once you have finished this task!!!
Exit Slip
Solve.
1. What is the formula for finding the area of a triangle?
2. Find the area of a triangle with the given dimensions. Base = 12 meters Height = 9.5 meters
3. Monica has a triangular piece of fabric. The height of the triangle is 15 inches and the triangle's base is 6 inches. Monica says that the area of the fabric is 90 square inches. What error did Monica make? Explain.
4. The sixth-grade art students are making a mosaic using tiles in the shape of right triangles. Each tile has leg measures (base and height) of 3 centimeters and 5 centimeters. If there are 200 tiles in the mosaic, what is the area of the mosaic?
1. What is the formula for finding the area of a triangle?
2. Find the area of a triangle with the given dimensions. Base = 12 meters Height = 9.5 meters
3. Monica has a triangular piece of fabric. The height of the triangle is 15 inches and the triangle's base is 6 inches. Monica says that the area of the fabric is 90 square inches. What error did Monica make? Explain.
4. The sixth-grade art students are making a mosaic using tiles in the shape of right triangles. Each tile has leg measures (base and height) of 3 centimeters and 5 centimeters. If there are 200 tiles in the mosaic, what is the area of the mosaic?
Reteach - Follow the steps provided below
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
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Reteach Task 1 ($50) - Correctly complete the problems below.
1. Give a formula for finding the area of a triangle.
2. Why do we divide by 2 (or multiply by 1/2) when finding the area of a triangle?
3. What are the base and height always connected by (what degree angle)?
4. Find the area of a triangle with the given dimensions: base = 4cm height = 5cm
5. Find the area of a triangle with the given dimensions: base = 6in length = 10in height = 8in
1. Give a formula for finding the area of a triangle.
2. Why do we divide by 2 (or multiply by 1/2) when finding the area of a triangle?
3. What are the base and height always connected by (what degree angle)?
4. Find the area of a triangle with the given dimensions: base = 4cm height = 5cm
5. Find the area of a triangle with the given dimensions: base = 6in length = 10in height = 8in
Reteach Task 2 ($50) - Correctly complete the worksheet below.
Level 1 (Part 2) - Area of Special Quadrilaterals
Watch the introductory video on finding the area of a parallelogram and trapezoid.
enVision - Topic 7, Lesson 7-1, MathXL for School: Practice and Problem Solving
enVision - Topic 7, Lesson 7-3, MathXL for School: Practice and Problem Solving
Mandatory Conversation - Copy an example problem from the video above in your math notebook. Explain your understanding of the problem to the teacher.
Mandatory Task 1 ($50) - Correctly complete the parallelogram area worksheet. You must show your work. Show the teacher once you have finished this task!!!
Mandatory Task 2 ($50) - Correctly complete the trapezoid area worksheet. You must show your work. Show the teacher once you have finished this task!!!
Task 3 ($100) - Click the button below to log into Buzz Math. Go to the "assignments" tab and click on "calculating the areas of parallelograms and rhombi." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 4 ($100) - Click the button below to log into Khan Academy. Search "area of trapezoids." Get 5 correct in a row. Show the teacher once you have finished this task!!!
Task 5 ($100) - Create a video of you finding the area of a parallelogram. The video must include commentary explaining the formula and the process used for finding the area of a parallelogram. Show the teacher once you have finished this task!!!
Task 6 ($100) - Create a video of you finding the area of a trapezoid. The video must include commentary explaining the formula and the process used for finding the area of a trapezoid. Show the teacher once you have finished this task!!!
Exit Slip
Solve.
1. What is the formula for finding the area of a parallelogram and a trapezoid?
2. What is the area of a parallelogram with a base of 12.75 inches and a height of 2.5?
3. The bases of a trapezoid are 11 meters and 14 meters. Its height is 10 meters. What is the area of the trapezoid?
4. A parking space shaped like a parallelogram has a base of 17 feet and a height of 9 feet. A car parked in the space is 16 feet long and 6 feet wide. How much of the parking space is not covered by the car?
5. Simon says that to find the area of a trapezoid, you can multiply the height by the top base and the height by the bottom base. Then add the two products together and divide the sum by 2. Is Simon correct? Explain.
1. What is the formula for finding the area of a parallelogram and a trapezoid?
2. What is the area of a parallelogram with a base of 12.75 inches and a height of 2.5?
3. The bases of a trapezoid are 11 meters and 14 meters. Its height is 10 meters. What is the area of the trapezoid?
4. A parking space shaped like a parallelogram has a base of 17 feet and a height of 9 feet. A car parked in the space is 16 feet long and 6 feet wide. How much of the parking space is not covered by the car?
5. Simon says that to find the area of a trapezoid, you can multiply the height by the top base and the height by the bottom base. Then add the two products together and divide the sum by 2. Is Simon correct? Explain.
Reteach - Follow the steps provided below
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
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Reteach Task 1 ($50) - Correctly complete the following questions.
1. Give the formula for finding the area of a parallelogram.
2. Give the formula for finding the area of a trapezoid.
3. What are base and height always connected by (what angle degree)?
4. Find the area of a parallelogram with the following dimensions: base = 13in width = 5in height = 4in
5. Find the area of a trapezoid with the following dimensions: base 1 = 10cm base 2 = 6cm height = 4cm
1. Give the formula for finding the area of a parallelogram.
2. Give the formula for finding the area of a trapezoid.
3. What are base and height always connected by (what angle degree)?
4. Find the area of a parallelogram with the following dimensions: base = 13in width = 5in height = 4in
5. Find the area of a trapezoid with the following dimensions: base 1 = 10cm base 2 = 6cm height = 4cm
Reteach Task 2 ($50) - Correctly complete the worksheets below.
Level 1 (Part 3) - Area of Irregular Polygons
Watch the introductory video on finding the area of irregular polygons.
enVision - Topic 7, Lesson 7-4, MathXL for School: Practice and Problem Solving
Mandatory Conversation - Copy an example problem from the video above in your math notebook. Explain your understanding of the problem to the teacher.
Mandatory Task 1 ($100) - Correctly complete the irregular polygon area worksheet. Find the area of each irregular shape. You must show your work. Show the teacher once you have finished this task!!!
Task 2 ($100) - Click the button below to log into Buzz Math. Go to the "assignments" tab and click on "calculating the area of polygons." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 3 ($100) - Click the button below to log into Khan Academy. Search "area of composite figures." Get 3 correct in a row. Show the teacher once you have finished this task!!!
Task 4 ($100) - Create a video of you finding the area of an irregular polygon. The video must include commentary explaining the formulas and the process used for finding the area of the irregular polygon. Show the teacher once you have finished this task!!!
Exit Slip
Solve.
1. How do you find the area of irregular polygons?
2. Picture the front of a square house with a triangle roof. Draw the image. The base of the house is 25 feet. The height of the triangle roof is 6 feet tall. What is the area of the front of the house?
3 Draw a trapezoid. Give each side of the trapezoid a dimension (a number with a measurement). Divide the trapezoid into 3 separate shapes. Find the area of each of the 3 shapes. Add them together for a total area. Now find the area of the trapezoid using the trapezoid formula. Do they match? Explain.
1. How do you find the area of irregular polygons?
2. Picture the front of a square house with a triangle roof. Draw the image. The base of the house is 25 feet. The height of the triangle roof is 6 feet tall. What is the area of the front of the house?
3 Draw a trapezoid. Give each side of the trapezoid a dimension (a number with a measurement). Divide the trapezoid into 3 separate shapes. Find the area of each of the 3 shapes. Add them together for a total area. Now find the area of the trapezoid using the trapezoid formula. Do they match? Explain.
Reteach - Follow the steps provided below
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
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Reteach Task 1 ($50) -
Reteach Task 2 ($50) - Correctly complete the worksheet below.
Level 2 - Surface Area of Rectangular and Triangular Prisms.
Watch the introductory video finding the surface area of a rectangular prism (a box).
Watch the introductory video on finding the surface area of a triangular prism.
enVision - Topic 7, Lesson 7-5, MathXL for School: Practice and Problem Solving
enVision - Topic 7, Lesson 7-6, MathXL for School: Practice and Problem Solving
enVision - Topic 7, Lesson 7-7, MathXL for School: Practice and Problem Solving
Mandatory Conversation - Copy an example problem from the video above in your math notebook. Explain your understanding of the problem to the teacher.
Mandatory Task 1 ($100) - Correctly complete the problems from the surface area worksheet. You must complete 2 of each type of shape and show your work for each problem. Show the teacher once you have finished this task!!!
Mandatory Task 2 ($100) - Correctly complete 3 of the problems from the square pyramid surface area worksheet. Show the teacher once you have finished this task!!!
Task 3 ($100) - Click the button below to log into Buzz Math. Go to the "assignments" tab and click on "calculating the surface area of rectangular and triangular prisms." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 4 ($100) - Click the button below to log into Khan Academy. Search "surface area using nets." Get 3 correct in a row. Show the teacher once you have finished this task!!!
Task 5 ($100) - Create a video of you finding the surface area of a rectangular prism. The video must include commentary explaining the process used for finding the surface area of the rectangular prism. Show the teacher once you have finished this task!!!
Task 6 ($100) - Create a video of you finding the surface area of a triangular prism. The video must include commentary explaining the process used for finding the surface area of the triangular prism. Show the teacher once you have finished this task!!!
Reteach - Follow the steps provided below
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
Reteach Task 1 ($50) - Correctly answer the following questions.
1. In your own words, what is surface area.
2. In your own words, how do you find the surface area of a 3 dimensional object?
3. How many faces are there on a rectangular prism?
4. How many faces are there on a triangular prism?
1. In your own words, what is surface area.
2. In your own words, how do you find the surface area of a 3 dimensional object?
3. How many faces are there on a rectangular prism?
4. How many faces are there on a triangular prism?
Reteach Task 2 ($50) - Correctly find the surface area for two prisms below. You must select one triangular prism.
Level 3 - Volume of Rectangular Prisms
Watch the introductory video on finding the volume of a rectangular prism (a box).
Mandatory Conversation - Copy an example problem from the video above in your math notebook. Explain your understanding of the problem to the teacher.
Mandatory Task 1 ($100) - Correctly complete the volume worksheet. You must show your work. Show the teacher once you have finished this task!!!
Task 2 ($100) - Click the button below to log into Buzz Math. Go to the "assignments" tab and click on "calculating the volume of a prism." Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 3 ($100) - Click the button below to log into Buzz Math. Open the 6th grade book. Click on the "geometry" tab on the left side of the page. Then, click on "calculating the volume of rectangular prisms with fractional edges" Correctly complete all 10 problems. Show the teacher once you have finished this task!!!
Task 4 ($100) - Create a video of you finding the volume of a rectangular prism. The video must include commentary explaining the process used for finding the volume of a rectangular prism. Show the teacher once you have finished this task!!!
Task 5 ($100) - Create a video of you finding the volume of a rectangular prism with fractional edges. The video must include commentary explaining the process used for finding the volume of a rectangular prism with fractional edges. Show the teacher once you have finished this task!!!
Exit Slip
Solve.
1. What is the formula for finding the volume of a rectangular prism?
2. Find the volume for a rectangular prism with a length of 5 meters, width of 3 meters, and height of 8 meters.
3. A rectangular prism with a square base has a volume of 100 cubic inches. If the height of the rectangular prism is 4 inches. What are the dimensions of the square base?
4. The dimensions of a rectangular prism are 3 1/4 feet by 2 1/2 feet by 5 feet. Lee found the volume by multiplying 12 1/2 by 3 1/4. Lola found the volume by multiplying 16 1/4 by 2 1/2. Who is correct? Explain.
1. What is the formula for finding the volume of a rectangular prism?
2. Find the volume for a rectangular prism with a length of 5 meters, width of 3 meters, and height of 8 meters.
3. A rectangular prism with a square base has a volume of 100 cubic inches. If the height of the rectangular prism is 4 inches. What are the dimensions of the square base?
4. The dimensions of a rectangular prism are 3 1/4 feet by 2 1/2 feet by 5 feet. Lee found the volume by multiplying 12 1/2 by 3 1/4. Lola found the volume by multiplying 16 1/4 by 2 1/2. Who is correct? Explain.
Reteach - Follow the steps provided below
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
1. Select and watch one of the reteach videos provided below.
2. If you understand the concept then you can move on to the reteach tasks.
3. If you are still struggling to grasp the concept then choose a different reteach video to watch. Find the video that makes the most sense to you. Once you understand the concept then complete the reteach tasks.
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Reteach Task 1 ($50) - Correctly complete the questions below.
1. In your own words, what is volume?
2. How do you find the volume of a rectangular prism?
3. What is the formula for finding the volume of a rectangular prism?
4. What is the volume of a rectangular prism with the following dimensions: Length = 15in Width = 8in Height = 10in
1. In your own words, what is volume?
2. How do you find the volume of a rectangular prism?
3. What is the formula for finding the volume of a rectangular prism?
4. What is the volume of a rectangular prism with the following dimensions: Length = 15in Width = 8in Height = 10in
Reteach Task 2 ($50) - Correctly complete the worksheet below.
Bonus Level
Task 1 ($500) - Geometry Town
Objective: Create a town made of polygons. Your town should have a name and a theme. Your theme should be carried out throughout your town. For example, your street names and building names should be related to your theme.
Requirements:
Final Steps:
Requirements:
- Two sets of parallel streets.
- Two sets of perpendicular streets.
- One street that intersects with another street to form an obtuse angle.
- One street that intersects another to form an acute angle.
- A school in the shape of a trapezoid.
- A bank in the shape of an irregular polygon.
- A post office in the shape of a triangle.
- A pizza shop in the shape of a parallelogram.
- A park with a square sandbox, a rectangular basketball court, and an irregular polygon swimming pool.
- A rectangular gym with a trapezoid parking lot around it.
- Add 5 other items of your choice. Each item you add must have a specific shape of your choice also (be original!!!).
- Additional streets and landmarks you choose.
Final Steps:
- Name the streets and landmarks in your town.
- Find the areas of the places in your town, using the appropriate formulas. Show your work!
- Write out 5 directions from one place to another in your town. Each direction must have one of these terms: perpendicular, parallel, or intersecting. The directions should be clear and detailed (think back to what you learned about positions and reference points in science!).
Task 2 ($300) - enVision - Topic 7, Lesson 7-8, MathXL for School: Practice and Problem Solving
Task 3 ($500) - Dream House
Use grid paper to help you draw a floor plan of your dream house. Each block on the grid paper will equal 2 feet. Your floor plan must include hallways and at least 3 bedrooms, 2 bathrooms, 1 kitchen, 1 family room, 1 dining room, 1 laundry room, and a two car garage. On the floor plan you must determine the type of flooring (tile, wood, carpet, concrete, etc.) there will be in each location in the house. Once the floor plan is complete it is time to calculate some costs.
Steps for calculating flooring costs: (remember, each block equals 2 feet)
1. Find the area of each room within the house.
2. Go online to shop for the types of flooring you need and want.
3. Find the cost of each type of flooring you choose. (usually $ per square ft.)
4. Based on the area of each room and the cost of the types of flooring you chose you should be able to determine the total cost for flooring in each room.
5. Now add all your room totals up to determine the total cost of the flooring for the house.
Make sure to show all your work in a neat and organized manner.
Use grid paper to help you draw a floor plan of your dream house. Each block on the grid paper will equal 2 feet. Your floor plan must include hallways and at least 3 bedrooms, 2 bathrooms, 1 kitchen, 1 family room, 1 dining room, 1 laundry room, and a two car garage. On the floor plan you must determine the type of flooring (tile, wood, carpet, concrete, etc.) there will be in each location in the house. Once the floor plan is complete it is time to calculate some costs.
Steps for calculating flooring costs: (remember, each block equals 2 feet)
1. Find the area of each room within the house.
2. Go online to shop for the types of flooring you need and want.
3. Find the cost of each type of flooring you choose. (usually $ per square ft.)
4. Based on the area of each room and the cost of the types of flooring you chose you should be able to determine the total cost for flooring in each room.
5. Now add all your room totals up to determine the total cost of the flooring for the house.
Make sure to show all your work in a neat and organized manner.