Coordinate Plane Word Problems

5th Grade MathGeometry4 pages

About this worksheet

Coordinate plane word problems for 5th grade math set on one town map (Common Core 5.G.1 and 5.G.2). A first-quadrant grid plots six landmarks, from Town Hall at (2, 2) to the Fire Station at (7, 5), with a directory beside it. Students read and write ordered pairs, correct Liam's reversed coordinates for the School, walk Maya's 7-block route from Library to Park to a bakery at (8, 2), and place a new skate park 4 east and 1 north of Town Hall. The map analysis finale connects four landmarks into a rectangle and computes its 12-square-block area.

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Curriculum objectives covered

5.G.1

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 O 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).

Questions 1 to 3 use the axes directly, including Liam's reversal of (2, 6) into (6, 2), which is the standard's coordinate-order convention made concrete.

5.G.2

Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

Questions 4 to 9 solve real-world problems on the first quadrant: block distances, a two-leg walking route, a translated skate park, and the rectangle the landmarks enclose.

What's inside this worksheet

Part 1: Finding Locations

Students write coordinates for the Fire Station (7, 5) and Community Pool (0, 4), name the landmark at (5, 2), and explain Liam's error in claiming the School sits at (6, 2) when it is at (2, 6).

Part 2: Distance and Navigation

Officer Davis drives 4 blocks north from Town Hall to the School. Maya walks 4 blocks south then 3 east for a 7-block trip ending at the bakery (8, 2), and a planned skate park lands at (6, 3) after moving 4 east and 1 north of Town Hall.

Part 3: Map Analysis & Geometry

A delivery van from the origin travels 7 east and 5 north to reach the Fire Station. Connecting Town Hall, School, Library and Park makes a rectangle of 4 by 3 blocks, or 12 square blocks, and question 9 routes a bus 6 blocks along grid lines from School to Fire Station.

Answer key

Solutions show the subtraction behind each distance (6 - 2 = 4 blocks) and offer both valid bus routes for question 9.

How teachers use it

Map-week anchor task

The single map carries all nine questions, so the sheet suits a full lesson. Have students trace each route on the printed grid in pencil; the 7-block walk in question 5 is hard to get wrong once drawn.

Addressing coordinate reversal

Question 3 is your intervention moment. Liam's (6, 2) mistake is the exact error half the class makes silently, and here it is printed, blamed on someone else, and safe to dissect.

Geometry preview

Question 8 sneaks area onto a coordinate sheet. Students who compute 4 × 3 = 12 square blocks from coordinates alone are ready for the strand's mystery-polygons work.

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