GRADE 6 MATHEMATICS
Unit 1: The Creative Contractor
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Essential Question
What math do contractors need to know?
Target Standards
6.G.1 - Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
6.G.2 - Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
6.G.4 - Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
Driving Questions
How do we use our knowledge for simple shapes and apply it to triangles, special quadrilaterals and polygons to derive area?
How can we determine how much space something takes up?
How are triangles and rectangles related?
How do you determine the amount of paint needed to cover the sides of a house?
What simple shapes do we need to build a house?
What is an irregular shape and how do we determine its space?
How do you make money being a contractor?
Summative Assessment
Students will create a 3-dimensional model of a house of their choosing. Some components of the construction will include determining the area of various rooms of the house, calculating the amount of paint needed to cover the exterior of the house, number of packages of shingles needed to cover the roof, and a cost assessment which will determine the contractor’s profit.