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Mathematics | Course : Model Mathematics III (Integrated Pathway)
Domain - Modeling with Geometry
Cluster - Apply geometric concepts in modeling situations.
[MIII.G-MG.A.3] - Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).*
[7.G.A.1] -
Solve problems involving scale drawings of geometric figures, such as computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
[7.G.B.4] -
Circles and measurement
[7.G.B.4.a] -
Know that a circle is a two-dimensional shape created by connecting all of the points equidistant from a fixed point called the center of the circle.
[7.G.B.4.b] -
Understand and describe the relationships among the radius, diameter, circumference and circumference of a circle.
[7.G.B.4.c] -
Understand and describe the relationship among the radius, diameter, and area of a circle.
[7.G.B.4.d] -
Know the formulas for the area and circumference of a circle and use them to solve problems.
[7.G.B.4.e] -
Give an informal derivation of the relationship between the circumference and area of a circle.
[7.G.B.6] -
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
[8.G.C.9] -
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.