Students recognize quadratic relations from equations in standard, factored, or vertex form, from vertical-parabola graphs, and from tables with equally spaced inputs and constant nonzero second differences, and graph them by plotting ordered pairs and connecting the pattern with a smooth curve. They identify the vertex, axis of symmetry, direction of opening, -intercept, and real zeros, including two distinct zeros, one repeated zero, or no real zeros, from graphs or equations. They solve accessible quadratic equations with integer coefficients by factoring and applying the zero-product property, including repeated factors, without using the quadratic formula or complex solutions.
On this page:
- Master skills like “Identify first and second differences”, “Recognize quadratic relations from graphs”, and “Recognize quadratic relations from tables” with unlimited, free practice problems
- Download (or modify) free worksheets on Quadratic Relations you can use at home or in class with practice problems across all skills in this group including “Recognize quadratic relations from equations”, “Identify the vertex and axis of symmetry of a parabola”, “Determine the zeros of a quadratic relation from a graph”.
- Start working on adaptive units like “Quadratic Equations and Vertex Form - Intro” or “Quadratic Formula and Discriminants - Intro” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Quadratic Relations: Individual Skills
Master 6 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
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Practice 'Determine the zeros of a quadratic relation from a graph'
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Download/Modify Free Grade 10 'Quadratic Relations' Worksheet
Print this free 'Quadratic Relations' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Determine the zeros of a quadratic relation from a graph
- Identify first and second differences
- Identify the vertex and axis of symmetry of a parabola
- Recognize quadratic relations from equations
- Recognize quadratic relations from graphs
- Recognize quadratic relations from tables
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Quadratic Relations) through scaffolded problems that grow in difficulty as concepts are understood.