5/10/17 Week 6 Wednesday daily sheet: 2-D shapes/ Perimeter Daily aims: 1. I can recognize 2-D shapes, such as squares, rectangles, triangles, circles, parallelograms, trapezoids, and various common polygons (pentagon, hexagon, octagon). 2. I can calculate the perimeter of 2-D shapes. 3. I can figure out the perimeter of complex shapes with a side length missing. 4. I can work “backwards” from the perimeter of a 2-D shape to a missing side length. 5. I can calculate the perimeter of shapes with side lengths that are algebraic expressions. Before lesson 1) Label all the 2-D shapes on the Labeling 2-D shapes handout. During lesson 1) Draw & label any 2-D shape you didn’t recognize. 2) What’s the difference between perimeter and area? 3) What’s the perimeter of this triangle? 4) A regular hexagon has a side length of 2.3 m. What’s its perimeter? D. Stark 5/10/2017 1 7 ft. 12 ft. 5) Calculate the perimeter of the room. 10 ft. 18 ft. 6) The perimeter of a rectangle is 16 in, and its length is 6 in. What’s the width? (HINT: Draw a diagram.) 7) If the perimeter of the quadrilateral PQRS is 18 in, what’s the value of x? http://www.mathworksheets4kids.com/quadrilateral/unknown-sides1.pdf D. Stark 5/10/2017 2 5/10/17 Week 6 Wednesday daily sheet: 2-D shapes/ Perimeter Before lesson 1) Label all the 2-D shapes on the Labeling 2-D shapes handout. KEY During lesson 1) Draw & label any 2-D shape you didn’t recognize. See answer key for handout. 2) What’s the difference between perimeter and area? Perimeter is the distance around a shape. (Think of using your pedometer to count steps.) Area is the space inside a 2-D shape. 3) What’s the perimeter of this triangle? P = 1 ¼ + ¾ + ½ = 2 ½ in. Notice that you can add in any order. You can do so here so the quarters total up neatly without having to deal with common denominators. D. Stark 5/10/2017 3 4) A regular hexagon has a side length of 2.3 m. What’s its perimeter? P = 6(2.3) = 13.8 m 2.3 m A regular polygon has congruent sides (sides with the same length). The hash marks here indicate congruence. 7 ft. 12 ft. 5) Calculate the perimeter of the room. 10 ft. 18 ft. P = 18 + 12 + 8 + 7 + 10 + 5 = 60 ft D. Stark 5/10/2017 4 6) The perimeter of a rectangle is 16 in, and its length is 6 in. What’s the width? (HINT: Draw a diagram.) 6 in. ? P = 16 ? 6 in. Without algebra: 6 + 6 = 12 Since P = 16, there’s 16 – 12 = 4 left to be divided between each side. The width is 2 in. With algebra: P = 2L + 2w 16 = 2(6) + 2w 16 = 12 + 2w [from formula sheet] 4 = 2w w = 2 in. D. Stark 5/10/2017 5 7) If the perimeter of the quadrilateral PQRS is 18 in, what’s the value of x? 3x + 1 + 3 + 6 + x = 18 3x + 1 + 3 + 6 + x = 18 4x + 10 = 18 4x + 10 = 18 4x = 8 4x = 8 x=2 http://www.mathworksheets4kids.com/quadrilateral/unknown-sides1.pdf D. Stark 5/10/2017 6
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