Free Printable Ellipses Worksheets for Year 7

Grade 7 is where students move from simply recognizing ellipses to working with their properties more precisely. They should be able to identify and measure the major and minor axes, locate the center, understand what the foci represent geometrically, and begin placing ellipses on a coordinate plane. The key distinction from 6th grade is the introduction of coordinate geometry: students start connecting the shape to a grid, which prepares them for writing equations in later grades.

Build on what students already know about circles. Ask: what happens if you stretch a circle along one axis? That question naturally leads to the major and minor axes and why they have different lengths. From there, introduce the foci as the two interior points that define the shape's "stretch," and have students measure the sum of distances from a point on the ellipse to each focus — they'll find it's always the same. Grounding new vocabulary in something students already understand (circles) makes the transition much smoother.

Confusing the major and minor axes is the most persistent issue — students often label the shorter axis as the major axis simply because it's the first one they measure. A second common error is assuming the foci are always on the horizontal axis; when an ellipse is taller than it is wide, the foci shift to the vertical axis, and that surprises students who haven't seen a vertically oriented ellipse before. Showing both orientations early prevents that assumption from taking hold.

You can assign these as a digital quiz on Wayground and see how the class performs before moving on, or print the PDF for a paper-based practice session. Every worksheet includes a complete answer key. If you print and collect submissions, the Wayground for Teachers app lets you scan student work for grading rather than marking each page by hand — useful when you're working through a geometry unit with multiple assignments in the same week.

In the Common Core progression, 7th grade geometry focuses on drawing, constructing, and describing geometric figures and their relationships. Ellipses fit into this strand as students extend their understanding of two-dimensional shapes beyond polygons and circles. The coordinate geometry work introduced at this level — placing shapes on a grid, measuring from a center point — directly feeds into the algebraic treatment of ellipses that students encounter in high school, where they write and graph equations in standard form.

For students who find the coordinate geometry aspect challenging, Wayground's reduced answer choices option can help them focus on identifying the correct property without being overwhelmed by similar-looking options. For students who need more time to work through spatial reasoning problems, per-student extended time keeps the activity fair without drawing attention to who has the accommodation. On the worksheet side, you can also generate a version with wider font spacing or a larger font size for students who benefit from a less visually dense page.