Area and perimeter of triangles, triangle classification, and triangle based word problems are all addressed through a series of voyages of discovery, math poetry, competitions, and worksheets in this complete triangle unit. A must for any late elementary or early middle school math classroom! Over the course of three to five days, students are guided through the following activities:
Triangle Mania Introductory Questions
– students answer a series of questions that stimulate thought and discussion regarding the relationship between parallelograms and triangles.
Triangula Comes to Visit
– students are treated to an entertaining story, told in rhyme and pictures, in which Aunt Triangula comes to visit her niece, Parallela, and they discuss their similarities, leading to the Voyage of Discovery below. This story is ideal for students who have experienced the stories in the Quadrilateral Mania
and/or Parallelogram Mania
products, but also works well for those who have not.
Triangle Area Voyage of Discovery
– students next enter into a “Voyage of Discovery” via which they use grids and go through a series of straightforward steps to create parallelograms out of nine different triangles. Students then compare the areas of the parallelograms and triangles and eventually conclude that the area of each triangle must be obtained using base • height ÷ 2. An engaging learning experience for all!
Half the Size of Me!
– a follow-up discussion between Parallela and Triangula, also told in rhyme and pictures, in which Triangula triumphantly finds out how to compute her area, leading to the poetry below.
Parallelogram and Triangle Poetry
– perhaps the most unique and useful of all the information in this product, three illustrated poems are presented; one regarding parallelogram area, one that addresses triangle area, and one that helps students remember to use the correct units for area and perimeter. Students love to recite these poems frequently, thereby cementing area and perimeter concepts.
Triangle Area and Perimeter Worksheet
– with the stories, Voyage of Discovery, and poetry under their belts, students then complete a two page worksheet on triangle area and perimeter. This worksheet contains a number of different area and perimeter computation problems (with triangles presented in a variety of forms and orientations), and several critical thinking word problems.
Triangle Area Comparison Activity
– as a final and powerful step in understanding triangle areas, students are given eight different triangles, presented on grids with no base and height labels, and asked to calculate their areas. Eventually, the students discover that, despite the fact that the triangles look very different, they all have identical areas because their bases and heights are identical.
What Else is There to Know? and Triangle Classification Rap
– in this final exchange between Parallela and Triangula, Parallela asks if there is anything else to know about triangles, at which point Triangula explains that classification is the final piece of the triangle puzzle and then launches into the rap to introduce acute, obtuse, right, scalene, isosceles, and equilateral triangles. Students will enjoy listening to and participating in this activity, and be heard reciting the rap as they walk down the hallways!
The Triangle Classification Challenge
– students work alone or in pairs through three pages of triangles to classify all by angle and by side. The first page has all congruent sides and right angles marked, the second has angle and side measures marked, and a final page requires students to draw the triangles on a coordinate grid. Make a competition out of this and students will dive into it wholeheartedly.
Putting It All Together Worksheet
– students complete a final worksheet to wrap up their study of triangles. It contains area and perimeter computation problems, classification problems, and word problems that require students to critically think about triangle attributes and use the vocabulary they have learned.
These ten activities, stories, and worksheets work sequentially together to establish a strong foundational knowledge of triangles. Use this product stand-alone or as part of a larger 2-dimensional geometry unit, and your students will be able to successfully and fluently apply triangles to future mathematical concepts!
Methods of Purchase for Geometry “Mania” Products:
This and associated geometry “Mania” products can be purchased in two different ways, depending upon customer needs and preferences:
1. By purchasing any combination of the stand–alone products below. If you are interested in exploring just a couple of these areas, you should choose this method:
Polygon Classification Challenge
, which introduces polygons and their various characteristics in detail via a lively competition in which students examine a set of definitions (and even sing a polygon song!), then attempt to classify as many polygons as possible over one class period. A detailed key is provided so that the teacher may review the types of polygons in detail with the students. A great way to begin a two-dimensional geometry unit!
, which delves deeper into quadrilaterals specifically via a story told in rhyme and pictures (with an amazing cast of characters!), quadrilateral family tree worksheets, rap songs/poems, and the Quadrilateral Classification Challenge game.
, which addresses parallelogram properties and area and perimeter via a story told in rhyme and pictures (featuring the same cast of characters introduced in Quadrilateral Mania), poetry, a “Voyage of Discovery” that guides students on a journey to revelations regarding areas of various types of parallelograms, and worksheets that cement parallelogram area and perimeter concepts.
- this product!
Composite Figure Mania
, which addresses polygons composed of two or more triangles and quadrilaterals. It eases students into these figures step-by-step, providing scaffolding as needed and teaching the students to think critically as they address a variety of increasingly challenging polygons. Via a series of warm-up questions, guided notes and exploration pages, and worksheets, students are first taught how to find missing side lengths, then to find area and perimeter of figures composed solely of rectangles, then to attack figures composed of two different types of polygons, and then to address complex figures composed of three or more polygons. A challenging product which thoroughly addresses common core standards on composite figures.
Two-Dimensional Geometry Review and Unit Assessment (soon to be released separately), which provide a comprehensive method for the teacher to review and then test the students on all that they have learned in these mini units.
2. By purchasing the complete, bundled, four-week math unit, Two-Dimensional Geometry Mania
, which contains all of the individual products listed above, at a significantly discounted price. If you would like to cover most of these topics with your classes, this is the recommended approach!
Feel free to check out a growing number of other products that use poetry, songs, games, worksheets, and assessments to make math fun and help students to learn a variety of common core math standards.
Click here to view Algebraic Equation Products
Click here to view Divisibility Rule Products
Click here to view Elementary to Middle School Transition Products
Click here to view Fraction Products
Click here to view Geometry Products
Click here to view Integer and Order of Operations Products
Click here to view Probability Products
Click here to view Ratio-Rate-Proportion Products
Click here to view Riddle Card Products that Help Retain Math Essentials
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