Module 5 Key Concepts

Transcription

1 Module 5 Key Concepts 1. You need to be able to find the area of rectangles, parallelograms, and triangles using their formulas. 4 in. 8 cm 6 cm 5 cm 4 cm 5 cm 9 in. 12 cm rectangle 2 sets of parallel sides 4 right angles Area=length x width A=9x4 A=36 in. 2 parallelogram 2 sets of parallel sides NO right angles *look for the dotted line to find the height Area=base x height A=12 x 6 A=72 cm 2 3 m 3 m triangles 3 sides *the slant sides are NOT used in area *the base is always a solid line *the height may be a dotted line *you may have to add to find the base Area=base x height 2 A=6x4 2 A=24 2 A=12 m 2 2. You need to know how to identify a trapezoid and find its area by decomposing. 5 yd. 8 yd. 10 yd. 6 yd. trapezoid only ONE set of parallel sides *you can NOT find the area by multiplying the base by the height *easily decompose into 2 triangles; find the area of each and then add them together *you will NEVER use the slant side to find the area Total Area=Triangle 1 + Triangle A=base x height A=base x height 2 2 A=8x5 A=10x5 2 2 A=20 yd 2 A=25 yd 2 Total Area=20+ 25=45 yd 2

2 3. You need to know how to find the area of irregular polygons on a coordinate grid using a scale factor. 4. You need to know how to compose or decompose to find the area of an irregular polygon on a grid.

3 5. You need to be able to find the surface area of a rectangular prism by constructing a net on a grid. *Label your sides and write the dimensions in each box. *Use the pattern ABAB and the two sides are Cs. *Use the "formula" 2A + 2B + 2C to calculate the total surface area. *Substitute and solve.

4 6. You need to be able to find the volume of a rectangular prism, including one with fractional edge lengths. Volume=length x width x height A=9 x 2 x 3 A=54 ft. 3 *Count by the edge length given. *Substitute and multiply straight across. Volume=length x width x height V= V= ft You need to be able to find the surface area of a right triangular prism. *Each of the three rectangles (front, rear, bottom) has the same length. The width of each rectangle is one of the three sides of the triangles. *Creating a rough sketch of a net might be helpful. It does not have to be drawn to scale. *Find the area of each of the five sides and add them together to find the total surface area.

5 8. You need to be able to plot points on a coordinate grid and calculate the distance between points. *Plot points carefully (left/right then up/down). *LABEL each point with the letter given. 9. You need to be able to plot points on a coordinate grid and calculate the distance between them using a scale factor.

6 10. You will need to solve the volume formula (equation) V=Bh to find missing measures. V=B x h *B stands for the area of the base (it is the length x the width) = B x 14.6 *Divide both sides by 14.6 to solve for B *Since the area of the Base represents two dimensions, the B= ft 2 units are squared V=B x h *B stands for the area of the base (it is the length x the width) 765 = x h *Divide both sides by to solve for h *Since the height is only one dimension, the units aren't h= 20 ft squared or cubed 11. You will need to calculate the volume of parts of a container. *Subtract the part of the box that is empty from the height. *Substitute the new height, along with the length and width into the volume formula and solve. 12. You will have to compare the surface area of boxes with the same volume without drawing a net.