Lesson 5.65.6 Small Group · Group 1
Start hereWords, worked example, and sentence starters
Learning target With my small group, I can find the surface area of a solid by using its net — one step at a time, with support.
Why This Matters This is your support small group for Lesson 5.6. We're going to slow this down and build it together, one step at a time. You can ask a question any time — that's what this group is for.
Start hereWords for this lesson
Read each word before you begin. Say it out loud.
| Word | What it means | Example |
|---|---|---|
| Surface areaSpanish: Área de superficie | The total area of all the flat sides of a solid. | A box 6 × 4 × 2: SA = 2(24) + 2(12) + 2(8) = 88 in² — like wrapping paper needed |
| NetSpanish: Plantilla (desarrollo plano) | A flat shape that folds up into a solid. | unfolded box |
| FaceSpanish: Cara | One flat side of a solid shape. | a cube has 6 faces |
| Two-dimensionalSpanish: Bidimensional | A flat shape with length and width, but no thickness. | a net on paper |
| EdgeSpanish: Arista | The line where two flat sides of a solid meet. | A cube has 12 edges — the lines where two flat faces connect |
| PyramidSpanish: Pirámide | A solid with one base and triangular sides that meet at a point. | square base + 4 triangles |
How it worksWorked example
These numbers are not on your problems. The steps are. Follow them with your own numbers.
Net for a box 5 cm × 3 cm × 2 cm.
- Bottom and top: 5 cm by 3 cm.
- Front and back: 5 cm by 2 cm.
- Two sides: 3 cm by 2 cm.
Answer: 6 rectangles, 3 matching pairs
Now you trySame steps, your turn
The steps are the same as the worked example. The numbers are yours. Do the work.
A box is 4 in long, 3 in wide, and 2 in tall. Use its net to find its surface area.
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
- This solid has faces shaped like .
- The net needs flat pieces because .
- I attached each to a side of the .
- When the net folds up, the meets the .
Word bank netfacefoldunfoldbasepyramidprismcubetrianglesquarerectangletwo-dimensionalthree-dimensional
Watch out!A common mistake
A common mistake in Surface Area Using Nets is finding the area of only one face from each of the 3 matching pairs and forgetting to double it, instead of counting all 6 faces. For a box that is 9 in × 4 in × 5 in, a student might add just one face from each pair: (9×4) + (9×5) + (4×5) = 36 + 45 + 20 = 101 in², but the net actually has two of each face, so the correct total is 2(36) + 2(45) + 2(20) = 72 + 90 + 40 = 202 in²
Lesson 5.65.6 Small Group · Group 1
Group 1Supported practice
Learning target With my small group, I can find the surface area of a solid by using its net — one step at a time, with support.
Why This Matters This is your support small group for Lesson 5.6. We're going to slow this down and build it together, one step at a time. You can ask a question any time — that's what this group is for.
-
1Complete each step, then write the final answer.
A box is 6 in long, 3 in wide, and 2 in tall. Use its net to find its surface area.
- 1What is the area of the top and bottom together?
- 2What is the area of the front and back together?
- 3What is the area of the left and right together?
- 4Add the three pairs. What is the surface area?
Final answer: -
2Complete each step, then write the final answer.
A cube net has 6 equal squares. A cube has edges of 4 cm. Use its net to find its surface area.
- 1What is the area of one square face?
- 2How many faces does the net show? Are they the same size?
- 3Multiply. What is the surface area?
Final answer: -
3Complete each step, then write the final answer.
A box is 5 cm long, 2 cm wide, and 1 cm tall. Find its surface area.
Show your workHint Find the area of each pair of faces. Then add the three pairs.
Final answer: -
4Complete each step, then write the final answer.
A box is 9 in long, 6 in wide, and 4 in tall. Find its surface area.
Show your workHint The box has 3 pairs of matching faces. Find one face in each pair, then double it.
Final answer: -
5Complete each step, then write the final answer.
A cereal box is 8 in wide, 3 in deep, and 12 in tall. How much cardboard covers the whole box with no overlap?
Show your workHint Cardboard covers every face, so find the surface area. Think of the net: 3 pairs of faces.
Final answer: -
6Complete each step, then write the final answer.
Jin finds the surface area of a box that is 7 cm by 4 cm by 2 cm. He writes 28 + 14 + 8 = 50. Is he right? What is the surface area?
Show your workHint Count the faces on a net of a box. How many faces did Jin add?
Final answer:
Explain your thinkingWhy does the net of a box have 3 pairs of matching faces? Use Jin's mistake to explain.
Sentence starter Each face has a matching face because ___. · Jin's answer is too small because ___.