Solve real-world and mathematical problems involving area, surface area, and volume.
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6.G.1 Find the area of triangles, quadrilaterals, and polygons by composing them into rectangles or decomposing them into triangles.
Bahrain (Area of Rectangles and Triangles)
We are the geometry experts at Sara’s Flags. Sara uses high-quality, weather-resistant fabric to make our flags, and it is our job to ensure that we have enough fabric. Sara is adding more flags to the catalog and has asked us to calculate how much fabric each flag requires. Today, we will focus on Bahrain. What is the area of each color of the Bahraini flag?
Czechia (Area of Trapezoids and Triangles)
We are the geometry experts at Sara’s Flags. Sara uses high-quality, weather-resistant fabric to make our flags, and it is our job to ensure that we have enough fabric. Sara is adding more flags to the catalog and has asked us to calculate how much fabric each flag requires. Today, we will focus on the Czech Republic or Czechia. What is the area of each color of the Czech flag?
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Gravel (Area of Composites)
We are going to the garden center to buy pea gravel for our yard. We have created a blueprint for the yard design. We want gravel around the patio, firepit, pavers, and fountain. Each 50-lb bag of pea gravel we would like to buy will cover about 3 square feet. How many bags do we need?
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Kuwait (Area of Rectangles, Triangles, and Trapezoids)
We are the geometry experts at Sara’s Flags. Sara uses high-quality, weather-resistant fabric to make our flags, and it is our job to ensure that we have enough fabric. Sara is adding more flags to the catalog and has asked us to calculate how much fabric each flag requires. Today, we will focus on Kuwait. What is the area of each color of the Kuwaiti flag?
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Norway (Area of Composites)
We are the geometry experts at Sara’s Flags. Sara uses high-quality, weather-resistant fabric to make our flags, and it is our job to ensure that we have enough fabric. Sara is adding more flags to the catalog and has asked us to calculate how much fabric each flag requires. Today, we will focus on Norway. What is the area of each color of the Norwegian flag?
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Sweden (Area of Composites)
We are the geometry experts at Sara’s Flags. Sara uses high-quality, weather-resistant fabric to make our flags, and it is our job to ensure that we have enough fabric. Sara is adding more flags to the catalog and has asked us to calculate how much fabric each flag requires. Today, we will focus on Sweden. What is the area of each color of the Swedish flag?
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Switzerland (Area of Composites)
James, on vacation in Switzerland, sees the unique Swiss flag and wonders about symmetry and the geometry behind the creation of the flag. Are the colors a perfect ratio like 1:5 or 1:4?
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6.G.2 Find the volume of a right rectangular prism with fractional edge lengths.
Moving Van (Volume of Rectangular Prisms)
Before packing the entire apartment into large boxes, we should ensure that the van we rent is big enough to move all the boxes. One would assume that the company that produces the boxes does not communicate with the trucking companies to create a perfect match between the box and the van. How many of these large boxes can you fit into the moving van? How much space is left over or wasted inside the truck?
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6.G.3 Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side.
6.G.4 Represent three-dimensional figures using nets made up of rectangles and triangles and use the nets to find the surface area.
Cereal Box (Surface Area of a Rectangular Prism)
Wallpaper (Intro to Surface Area)
Nia and Andrew have a gray wall in their home. They agreed it needs some color but need help deciding what paint color to get. Andrew suggests hanging wallpaper instead of painting it, which Nia thinks is an excellent idea. They measure the wall at 18 feet long and 9 feet high. Each roll is 21 inches wide and 16.5 feet long. How many rolls will we need to cover this wall?
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