Curriculum / Math / 6th Grade / Unit 7: Geometry / Lesson 4
Math
Unit 7
6th Grade
Lesson 4 of 17
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Find the area of any triangle using height and base.
The core standards covered in this lesson
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.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
Four triangles were made on a geoboard. The pegs on a geoboard are equally spaced in the square grid.
Which triangle has the greatest area? The least area? Do any of the triangles have the same area? Why is that the case?
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Same Base and Height, Variation 1, accessed on March 16, 2018, 3:42 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
For each triangle, circle a base measurement that you can use to find the area of the triangle. Then, find the area of any three triangles.
a.
b.
c.
d.
e.
Grade 6 Unit 1 Lesson 9 is made available by Open Up Resources under the CC BY 4.0 license. Copyright © 2017 Open Up Resources. Download for free at openupresources.org. Accessed March 16, 2018, 3:44 p.m..
Find the area of the triangle.
A set of suggested resources or problem types that teachers can turn into a problem set
15-20 minutes
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
Use the triangles below to answer the following.
a. Which of the triangles has the largest area?
a. $${{\triangle ABC}}$$
b. $${\triangle ABD}$$
c. $${\triangle ABE}$$
d. $${\triangle ABF}$$
e. They all have the same area.
f. There is not enough information to answer.
b. Draw another triangle that has the same area of $${{\triangle ABC}}$$ in the grid below and explain why it has the same area of $${{\triangle ABC}}$$.
Same Base and Height, Variation 2, accessed on March 16, 2018, 3:49 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
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Find the area of polygons using composition and decomposition.
Topic A: Area of Triangles, Quadrilaterals, and Polygons
Find the area of parallelograms.
Standards
6.G.A.1
Find the area of right triangles.
Find the area of acute triangles using height and base.
Solve real-world and mathematical problems involving area of polygons.
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Topic B: Polygons in the Coordinate Plane
Draw polygons in the coordinate plane and find area and perimeter (Part 1).
6.G.A.3
Draw polygons in the coordinate plane and find area and perimeter (Part 2).
Solve real-world problems involving distance, area, and perimeter of polygons on and off the coordinate plane.
6.G.A.16.G.A.3
Topic C: Volume of Rectangular Prisms
Find volume of rectangular prisms with whole number and fractional edge lengths using unit and fractional unit cubes.
6.G.A.2
Determine the formulas for finding volume of rectangular prisms and use the formulas to solve for volume.
Apply volume concepts to solve real-world and mathematical problems, including finding missing measurements.
Apply volume concepts to solve real-world and mathematical problems, including finding volume of figures with composite prisms.
Topic D: Nets and Surface Area
Describe features of and identify nets that match prisms and pyramids.
6.G.A.4
Create nets and use them to find surface area of three-dimensional figures.
Find the surface area of three-dimensional figures with and without nets.
Find surface area and volume in real-world problems.
6.G.A.26.G.A.4
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