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Common Core State Standards for Mathematics addressed:
Geometry (5.G)
• Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).  (5.G.1)
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Included:
• 2 graphic reference sheets
• 2 assessment activities and key

Working with a one-quadrant coordinate grid seems like it should be easy, but I know from my own students that it often takes a bit of time for students to become truly proficient with working with coordinates and ordered pairs. Beyond fifth grade, students will work with all four quadrants, and proficiency with coordinate grids becomes increasingly important, so building a strong foundation in this area is vital. Working with a coordinate grid quickly moves beyond simply moving over and up to specific points but applying a range of geometric and algebraic skills on a coordinate grid. That is one of the reasons why these cards extend well beyond having students plot a point at a given set of coordinates or identify an ordered pair; the cards feature problems that ask students to reason about coordinate grids and points on the grid, as well as to apply a range of geometric concepts in the context of a one-quadrant coordinate grid.

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.

There are eight different problem types on the cards, with the eight different problem types divided among the 32 cards in sets of 4. Every four cards (cards 1-4, 5-8, 9-12, etc.) are formatted similarly and present similar types of problems. The first half of the set involve identifying and reasoning about the locations of points on a one-quadrant grid. The second half of the set involves applying geometric language when analyzing points on a one-quadrant grid. To see the variety of question types on the cards, please check out the preview.

As students work through the cards, they will have to apply an understanding of a wide range of geometric vocabulary, both related to coordinate grids and related to other geometry standards. Vocabulary on the cards includes: coordinate grid, x-axis/y-axis, x-coordinate/y-coordinate, origin, ordered pair, plot, vertices, square, perimeter, line segment, parallel, & perpendicular.

Using the Cards

The organization of the problem types allow for scaffolded practice. Since the cards were designed in progressively difficult sets of four, you can use this structure to meet the diverse needs within your class. Decide which set of four cards you want your student to work with and then differentiate based on your students’ levels of proficiency with the target concept. You may:

1) have your students work through all four at a time while you circulate and provide guided support;
2) work through the first two cards together and then have students use the other two cards in the set as paired or independent practice.;
3) have your more able students complete the cards on their own while you provide guidance to a small group; or,
4) have students work in pairs to complete the first two and then complete the other two on their own.

Beyond the suggestions above, there are lots of ways in which you can implement the task cards. You can have the students work on them independently, working through the task cards on their own. The students can work on them in pairs or small groups, completing all the task cards in one session. You can use them in centers, having the students complete 6-8 task cards a day over the course of the week. You can even use them as a variation of “problem of the day”, giving each student 1 sheet of 4 cards to glue in their journals and solve, one sheet per day for eight days.

Included in this set is a Coordinate Grid Template sheet that your students can use as they work on the cards. Some students may find particular problems on some of the cards easier to work through if they can actually plot and connect points on a grid. You can laminate the cards and allow them to draw on the cards themselves using dry- or wet-erase markers, or you can provide the coordinate grid template for them to draw on as they work through the cards.

Reinforcing and Assessing Understanding

The printables consist of two graphic full-page reference sheets and two different two-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.

The first reference sheet focuses on one-quadrant coordinate grids, defining and illustrating the terms "coordinate grid", "axis"/"axes", "x-axis/y-axis", "plot", "origin", "ordered pair", "x-coordinate/y-coordinate." This sheet will be a useful reference for your students well beyond the cards in this set. The sheet also features a number of reflection questions related to the content on the sheet that your students can respond to in their journals or can be the springboard to a classroom discussion about coordinate grids.

The second reference sheet focuses on geometric concepts in the context of a coordinate grid. It defines and illustrates the terms "parallel", "perpendicular", "trapezoid", "rectangle", "square", and "rhombus," showing examples of all these on a coordinate grid. This sheet can be particularly useful for your students when they complete Cards 17-32, which use these vocabulary words and requires students to be able to apply an understanding of those terms on a one-quadrant coordinate grid. You can also use the reference sheet as the seed for a full lesson; the sheet features questions directed at the students, asking them to consider and compare the examples of the different figures, to identify the ordered pairs of the figures shown, and to draw some of their own examples of the figures on the sheet. Your students can use the included Coordinate Grid Template sheet to create their own examples of the geometric figures on the sheet.

The two provided assessment activities can be used to evaluate student understanding of working with a one-quadrant coordinate grid. The assessments 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.

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For more practice with geometry concepts, please check out the other related resources I have available –

Shape Puzzlers – reasoning about 2-D shapes task cards + printable set

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

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I hope your students enjoy these resources and are able to build their proficiency with coordinate geometry!
Total Pages
23 pages
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