Formulas
1.2 3Estimate or determine the area and volume of solid figures by covering them with squares or by counting the number of cubes that would fill them.
1.33 Find the perimeter of a polygon with integer sides.
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1.1 Measure the area of rectangular shapes by using appropriate units, such as square centimeter (cm2), square meter (m 2), square kilometer (km 2), square inch (in 2), square yard (yd2), or square mile (mi 2).
1.2 Recognize that rectangles that have the same area can have different perimeters..
1.3 Understand that rectangles that have the same perimeter can have different areas.
3.2 Identify the radius and diameter of a circle.
3.3 Identify congruent figures.
3.6 Visualize, describe, and make models of geometric solids (e.g., prisms, pyramids) in terms of the number and shape of faces, edges, and vertices; interpret two-dimen-sional representations of three-dimensional objects; and draw patterns (of faces) for a solid that, when cut and folded, will make a model of the solid.
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1.1 2 1/2 Derive and use the formula for the area of a triangle and of a parallelogram by comparing it with the formula for the area of a rectangle (i.e., two of the same triangles make a parallelogram with twice the area; a parallelogram is compared with a rectangle of the same area by cutting and pasting a right triangle on the parallelogram).
1.21/2 Construct a cube and rectangular box from two-dimensional patterns and use these patterns to compute the surface area for these objects.
1.33 Understand the concept of volume and use the appropriate units in common measuring systems (i.e., cubic centimeter [cm 3], cubic meter [m3], cubic inch [in 3], cubic yard [yd3]) to compute the volume of rectangular solids.
1.4 Differentiate between, and use appropriate units of measures for, two- and three-dimensional objects (i.e., find the perimeter, area, volume).
Formulas
Key Standard
2.24 Know that the sum of the angles of any triangle is 180° and the sum of the angles of any quadrilateral is 360° and use this information to solve problems.
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1.13 Understand the concept of a constant such as π; know the formulas for the circumference
and area of a circle.
1.21/2 Know common estimates of π (3.14; 22⁄7) and use these values to estimate and calculate
the circumference and the area of circles; compare with actual measurements.
1.31/2 Know and use the formulas for the volume of triangular prisms and cylinders (area of base × height); compare these formulas and explain the similarity between them and the formula for the volume of a rectangular solid.
Formulas
Key Standard
2.24 Use the properties of complementary and supplementary angles and the sum of the angles of a triangle to solve problems involving an unknown angle.
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