The Quadratic Equation/Formula Logic Puzzle Group Activity

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9th - 12th, Homeschool
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  2. These group activities could be done in the physical classroom or in breakout sessions on Zoom or Google classroom.Each student will be responsible for a set of 6 problems applying the concepts you have taught in class. Together, the group will solve the logic puzzle based on clues that result from
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This group activity could be done in the physical classroom or in breakout sessions on Zoom or Google classroom.

Each student will be responsible for a set of 6 problems applying the concepts you have taught in class. Together, the group will solve the logic puzzle based on clues that result from their individual solutions.

Highlighted Formulas/Skill:

  • Re-write quadratic formulas into Standard Form
  • Use the Quadratic Equation to solve quadratic equations (one-variable equations).

With this activity, your students will...

  • Build their skills as they practice precision solving quadratic equations using the quadratic formula.
  • Deepen their understanding as they build their critical thinking and logic skills.
  • All be involved. Since each student has his/her own paper they are responsible for, it keeps any one member from just sitting back and letting the rest of the group take over.
  • Learn how to think critically. Logic puzzles build critical thinking and problem-solving skills (the same skills you need to excel at math!)ย 
  • Learn to solve complex problems by simply doing the one step you know, then the next step, then the next, until you arrive at the answer.

Perfect for centers or cooperative learning activities. Want to see an example? Hit download on the preview page to try our Free Logic Puzzle "Order of Operations Logic Puzzle" sample with your class.


The MathLight curriculum make math easier for both students and teachers, and contains video lessons for each topic. Visit for more info. Any questions? Please don't hesitate to ask.


This activity goes perfectly with our complete QUADRATIC EQUATIONS AND FUNCTIONS UNIT. The full unit includes video lessons, student notes, practice exercises, assessments, unit review, review videos, and more for each of the following topics:

  1. Introduction to Quadratics
  2. Solving Quadratics Using Roots
  3. Completing the Square
  4. The Quadratic Equation
  5. The Discriminant
  6. Graphing Quadratic Functions
  7. Transforming Quadratic Functions
  8. Modeling Linear, Exponential & Quadratic Functions
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to see state-specific standards (only available in the US).
Solve quadratic equations in one variable.
Solve quadratic equations by inspection (e.g., for ๐˜นยฒ = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as ๐˜ข ยฑ ๐˜ฃ๐˜ช for real numbers ๐˜ข and ๐˜ฃ.
Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, "Does this make sense?" They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.
Construct viable arguments and critique the reasoning of others. Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose. Mathematically proficient students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and-if there is a flaw in an argument-explain what it is. Elementary students can construct arguments using concrete referents such as objects, drawings, diagrams, and actions. Such arguments can make sense and be correct, even though they are not generalized or made formal until later grades. Later, students learn to determine domains to which an argument applies. Students at all grades can listen or read the arguments of others, decide whether they make sense, and ask useful questions to clarify or improve the arguments.
Attend to precision. Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning. They state the meaning of the symbols they choose, including using the equal sign consistently and appropriately. They are careful about specifying units of measure, and labeling axes to clarify the correspondence with quantities in a problem. They calculate accurately and efficiently, express numerical answers with a degree of precision appropriate for the problem context. In the elementary grades, students give carefully formulated explanations to each other. By the time they reach high school they have learned to examine claims and make explicit use of definitions.


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