Note: Click any standard to move it to the center of the map.
[4.MD.A.3] -
Apply the area and perimeter formulas for rectangles in real-world and mathematical problems.
For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor. (Note: When finding areas of rectangular regions answers will be in square units. For example, the area of a 1 cm x 1 cm rectangular region will be 1 square centimeter (1 cm2, students are not expected to use this notation.) When finding the perimeter of a rectangular region answers will be in linear units. For example, the perimeter of the region is: 1cm + 1cm + 1cm +1cm = 4 cm or 2(1cm) + 2(1cm) = 4 cm).
[5.NF.B.4] -
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
Mathematics | Grade : 6
Domain - Geometry
Cluster - Solve real-world and mathematical problems involving area, surface area, and volume.
[6.G.A.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.
- Compose shapes
Join geometric shapes without overlaps to form new shapes. - Decompose shapes
Given a geometric shape, identify geometric shapes that meet without overlap to form the given shape.
[6.G.A.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.
[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.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.
[GEO.G-SRT.D.9] -
(+) Derive the formula A = ½ absin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
[GEO.G-MG.A.1] -
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).*
[GEO.G-MG.A.2] -
Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).*
[MIII.G-SRT.D.9] -
(+) Derive the formula A = ½ ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
[MIII.G-MG.A.1] -
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).*
[MIII.G-MG.A.2] -
Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).*
[PC.G-SRT.D.9] -
(+) Derive the formula A = ½ ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.