Help build your students’ understanding of two-dimensional shapes and how they relate to each other with this set of task cards and printables. The 32 task cards will provide your students with the necessary practice to build their ability to reason about two-dimensional figures. The 3 reference sheets will prove a handy tool to your students as they work on the cards - or any task related to shape classification. Extend your students’ practice (or assess their level of mastery) with the 4 included assessment activities. With this set of print-and-go resources, your students will grow stronger in their understanding of how to classify and relate two-dimensional figures.
Common Core State Standards for Mathematics addressed:
• Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles so all squares have four right angles.
• Classify two-dimensional figures in a hierarchy based on properties.
• 3 graphic reference sheets
• 32 task cards
• 8 self-checking “answer cards”
• task card answer sheet and key
• 4 assessment activities and key/rubric
About the Cards
This set of cards was designed to help students build their understanding of the relationships among various shapes, primarily quadrilaterals, and the various categories into which shapes can fit. This second concept was often the most difficult for students to grasp; no matter how many times we would review, I would still have students saying, "Wait, is it that all squares are rectangles but not all rectangles are squares or are all rectangles squares but not all squares are rectangles?"
All of the cards are multiple-choice, and some of the cards have problems that have one correct answer while others have problems where there is more than one answer. For these, the students have to choose all of the correct responses. These “multiple correct answer” problems are identified by the phase select all that apply
after the question is given. I opted to include these types of questions on the cards because of the growing prevalence of such questions on standardized tests, such as NWEA’s MAP assessment, PARCC, and Smarter Balanced, and I have seen first hand how difficult it is for kids to break out of the mindset of there being one correct answer. If your students have not had exposure to these types of questions, it would be helpful to make sure that they understand that if a question states to select all that apply, that there might be more than one correct answer, and they should check each choice to see if it is correct or incorrect.
There are four different problem types on the cards, with the four different problem types divided among the 32 cards in sets of 8. Every eight cards (cards 1-8, 9-16, 17-24, and 25-32) are formatted similarly and present similar types of problems.
Cards 1 through 8 present various shapes and asks the students to identify all of the shapes that match a given name (such as polygon
For cards 9 through 16, the students are shown a particular shape and a list of shape names and the students have to identify all of the words that correctly name the shape. For instance, when shown a rectangle, students have to identify it as a rectangle, a parallelogram, and a quadrilateral.
Cards 17 through 24 present statements about particular figures, with a blank that needs to be filled in with the word all
, or no
. For instance: Fill in the blank: _____ rectangles have two short sides and two longs sides.
The final set of eight cards – cards 25 through 32 – also present statements about shapes, with students required to identify one or more shape names that correctly fill in the blank in each comparative statement. For instance: Fill in the blank: If a shape is a ___________, it must also be a parallelogram.
The cards focus primarily on quadrilaterals, and most of the geometric vocabulary used on the cards are the names of quadrilaterals. In addition to quadrilateral, parallelogram, rectangle, square, rhombus
, and trapezoid
, the cards also use the names polygon and pentagon. Besides shape names, the cards feature geomeric vocabulary that relate to shape attributes: parallel, congruent, opposite sides, acute, obtuse
, and right angle
Reinforcing and Assessing Understanding
The printables consist of three graphic full-page reference sheets and four different one-page assessment activities.
The reference sheets have similar content presented in various ways. You may choose to use just one of the sheets, based on your particular students' needs; alternatively, you may choose to use all three so your students can see the shapes and their relationships in lots of ways.
One of the reference sheets defines the geometric terms polygon, quadrliateral, parallelogram, rectangle, trapezoid, rhombus, rectangle
, and square
, giving examples of each type of shape. The examples were chosen to reflect the relationship among the categories; for instance, all of the examples of rectangles
are included among the examples of parallelograms
, and polygons
to emphasize that every rectangle also fits into those other three categories.
The second reference sheet addresses the same geometric terms as the first reference sheet but presents examples in a diagram made up of nested sets; for instance, a large border is drawn around all of the figures, labeled as "polygons". Inside this border is another border, with the label "quadrilateral" that designates some of the polygons as quadrilaterals
and others as non-quadrilaterals
The third sheet again addresses the same geometric terms. However, this sheet uses a flow chart as the organizational style, with arrows leading to and from each category on the flow chart; for example, one box shows a set of rectangles, and an arrow labeled "can be" leads from this box to a set of squares while a separate arrow labeled "are always" leads from the squares back to the rectangles.
The four provided assessment activities can be used to evaluate student understanding of shape categorization and the relationships among various shapes. The assessments were designed so that there are two pairs of activity sheets that are formatted similarly, and have similar types of questions, though the questions on each are different. You can use these activity pages in a variety of ways. You could give one as a pre-test, then teach your lesson and allow students to practice with the task cards, and then give the second worksheet as an independent post-test. [The question types on the assessment tasks are the similar to the question types on the cards, making them ideal as pre- & post-assessments]. The sheets could also be given as homework, center assignments, or any other purpose that fits your teaching style or classroom routines.
For more practice with geometry concepts, please check out the other related resources I have available –
Go Figure! 2-D geometry game, ppt, and printables set
Getting in Shape – 2-D geometry task cards + printable set
To Points Beyond! 1-D geometry game + ppt + printables set
I hope your students enjoy these resources and are able to build their proficiency with geometric figures!