Eureka Math² Grade 5, Module 6: Coordinate Geometry and Real-World Problems
In this unit, your child combines the coordinate plane with shapes and patterns. They plot points, graph pairs from two number rules, and use graphs to answer real-world questions, then classify quadrilaterals by properties like parallel sides and right angles. Coming after the volume unit, it asks children to use what they have learned all year and explain their reasoning.
By Robert “Bobby” BarnettMath teacher, parent, and founder of Bobby’s Math Club
What is my child learning in Module 6?
- Making two patterns from rules like add 5 and add 10, then graphing the paired terms as points like (5, 10). Learn more: Comparing two number patterns on a grid
- Naming and plotting points on the coordinate plane, reading the x-coordinate before the y-coordinate. Learn more: Finding points on a grid, like (6, 3)
- Graphing real data, like the cost of tickets for different group sizes, and explaining what each point means. Learn more: Plotting real-life points on a grid
- Explaining why a property of all parallelograms, like opposite sides being parallel, also holds for rectangles and squares. Learn more: Why a square is also a rectangle
- Building a family tree of quadrilaterals that shows how parallelograms, rectangles, rhombuses, and squares relate. Learn more: Sorting four-sided shapes into a family tree
Sample questions to try together
These are real questions from our practice. Tap the speaker to hear one read aloud, or the light bulb for a hint, and talk about the answer together.
Question 1 of 3
Ana and Luis both start with $0. Each week, Ana saves $5 and Luis saves $10. When Ana has $15, how much does Luis have?
- $25
- $40
- $30
How you can help
- Make a table of ticket prices together, like $5 per person for 1 to 6 people. Plot the pairs on graph paper and ask your child what (4, 20) means.
- Play “Who am I?” with shapes at dinner: “I have four right angles and four equal sides.” Your child names every group the shape belongs to.
- Draw a grid with chalk on the sidewalk or on paper and call out points like (2, 7). Your child walks or draws to each point, always going across first.
Where kids can get stuck
- Going up before across, so (2, 7) is plotted where (7, 2) belongs.
- Ignoring the scale on an axis, so a line marked in 5s is read as if it counts by 1s.
- Forgetting that a rectangle is a parallelogram, so its parallel, equal opposite sides come as a surprise.
Practice makes perfect
Bobby's Math Club has practice problems that adapt to your child’s level, each with a detailed explanation and an easy-to-follow video, so your child can build confidence in these skills one step at a time.
Words your child will hear
- coordinate plane
- A flat grid with an x-axis and a y-axis for plotting points.
- ordered pair
- A pair like (6, 2) that says how far across, then how far up.
- origin
- The starting corner of a coordinate grid.
- pattern
- Numbers that change in a steady, predictable way.
- rule
- What you do to get from one number in a pattern to the next.
- quadrilateral
- A polygon with four sides and four angles.
- parallelogram
- A quadrilateral whose opposite sides are parallel and the same length.
- trapezoid
- A quadrilateral with a pair of parallel sides.
- property
- Something always true about a shape, such as equal sides.
Want to help your child master coordinate geometry?
In Bobby's Math Club, your child practices these skills at just the right level, with a hint when they need one, a clear explanation after every question, and kid-friendly videos. Unlimited practice is free.
Join the club
Written by Robert “Bobby” Barnett
Bobby is an award-winning math teacher, the author of Meet Every Learner’s Needs, and the father of two elementary-school math learners. He uses Bobby’s Math Club with his own kids a few times every week. Learn more or contact Bobby.
Which math standards does Eureka Math² Grade 5 Module 6 cover?
Eureka Math² Grade 5 Module 6 covers these math standards. Each one links to what it means, sample questions, and teaching strategies.
- 5.OA.B.3: Make two number patterns from two rules, and compare them.
- 5.G.A.1: Find and plot points on a coordinate grid, like (6, 3).
- 5.G.A.2: Graph points on a coordinate grid to solve real-life problems.
- 5.G.B.3: Know that a square has everything a rectangle has, because it is one.
- 5.G.B.4: Sort shapes into families by their sides and angles.
For teachers: Unit names and order vary between editions and districts, so your school’s own materials have the exact sequence. Learn how Bobby's Math Club can help your students grow.