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Colorado
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HS.F-BF.B.4 - Find inverse functions.
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- I can recognize when a battle strategy or angle-based situation needs an inverse, but I need support to set up the reverse relationship
- I can name parts of a function, sequence, or angle construction with help, and I may only partially explain how my choice would affect a Fortnite decision.
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- I can find or create an inverse function for a simple battle decision and explain how it undoes the original rule
- I can also measure or construct some required angles or patterns, but my explanation may be incomplete or need evidence to fully support my strategy.
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- I can write a function that models a Fortnite battle choice, find its inverse, and explain how the inverse helps reverse the calculation or decision
- I can connect my model to a constructed angle, radian measure, or sequence, and I explain my strategy using clear evidence to show why one option is stronger.
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- I can independently create and compare battle models using functions, inverse functions, sequences, and angle constructions, and I can justify how each model supports a strong Fortnite decision
- I can use precise mathematical reasoning, radian measure, and geometric constructions to revise my strategy, explain tradeoffs, and reflect on how my thinking and problem-solving improved.
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Colorado
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HS.F-BF.A.2 - Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.
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- I can identify a simple Fortnite battle pattern and, with support, write either a recursive rule or an explicit rule for an arithmetic or geometric sequence
- I can measure or label a basic angle on a battle map and explain, with help, how that angle might affect a path choice or decision.
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- I can write both recursive and explicit formulas for an arithmetic or geometric sequence that models a battle situation, and I can use the two forms to describe the same pattern
- I can measure and compare angles on a map, use a function to connect one battle quantity to another, and explain one reason my strategy may work better than another.
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- I can write, translate between, and use recursive and explicit formulas for arithmetic or geometric sequences to model a Fortnite decision accurately
- I can connect a function, its inverse, and angle measurements in radians to explain how a battle choice changes distance, movement, or timing, and I can support my decision with clear evidence from my map and model.
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- I can independently create a strong, accurate battle strategy that uses arithmetic or geometric sequences in both recursive and explicit form, along with functions and inverse functions, to model and justify Fortnite decisions
- I can measure and use angle constructions and radian relationships precisely, compare multiple options critically, and revise my strategy thoughtfully by explaining how the math supports my final choice.
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Colorado
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HS.F-BF.A.1 - Write a function that describes a relationship between two quantities.
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- I can identify a simple relationship between two quantities in a Fortnite battle situation, but my function may be incomplete, partly correct, or need support to connect the inputs and outputs
- I can begin to explain my thinking with a model, and I can accept feedback to revise my work and try another strategy.
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- I can write a function that describes a Fortnite battle relationship between two quantities, such as angle and distance or angle and effectiveness, and I can explain what the input and output mean
- I can use my function to compare two choices and give at least one reason for my decision.
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- I can write and use a clear function that accurately models a Fortnite battle decision, and I can explain how changes in the input affect the output
- I can connect my function to evidence from my map or scenario, compare multiple strategy options, and revise my choice using mathematical reasoning.
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- I can create a strong, accurate function that models a Fortnite battle decision and clearly justifies why it fits the situation best
- I can use my model to compare strategies, defend my decision with precise evidence, and reflect on how my strengths, identity, and problem-solving choices helped me improve my work.
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Colorado
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HS.F-TF.A.1 - (+) Use radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
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- I can recognize that an angle can be measured in radians as part of a circle and use help to label a few given angles or arcs on my Fortnite battle map
- I can try a geometric construction with guidance, and I can share one idea about which path might work better, even if my explanation is incomplete or only partly supported by evidence.
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- I can measure and label angles in radians on a unit-circle or battle-map model and use a construction tool to create at least one required angle, parallel line, perpendicular line, or bisected angle with some accuracy
- I can write or identify a function, sequence, or inverse with partial correctness and explain one reason my strategy may be stronger than another.
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- I can accurately use radian measure to connect arc length and angle size in my battle model, and I can complete formal constructions that support my decision-making with minor errors at most
- I can write a function, its inverse, and a recursive and explicit sequence that fit the situation, and I can explain how my math evidence supports my Fortnite strategy choice.
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- I can precisely use radian measure to represent angle size as arc length on the unit circle and apply that understanding to justify battle decisions on my map
- I can independently create accurate geometric constructions, model the situation with a function, inverse function, and matching recursive and explicit sequences, and clearly defend my choice with evidence while reflecting on how my thinking and problem-solving strengthened my strategy.
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Colorado
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HS.G-CO.D.12 - Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). *Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.*
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- I can begin a battle-map construction by using a tool correctly to copy a segment, copy an angle, or draw a line with some guidance
- I can identify whether my construction is intended to be parallel, perpendicular, or bisected, and I can explain part of my thinking about how the angle could affect a Fortnite strategy.
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- I can construct a segment, angle, perpendicular line, or parallel line with partial accuracy using a compass, straightedge, or digital tool
- I can measure or compare angles to support a simple battle choice, and I can describe one strength in my strategy or in a partner’s strategy.
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- I can accurately make formal geometric constructions, including copying an angle, bisecting an angle, constructing a perpendicular line, or constructing a parallel line through a point not on the line
- I can use my constructed angles to justify a battle decision and connect my work to how position, direction, or movement could affect an outcome.
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- I can independently and precisely combine multiple formal geometric constructions to create a clear battle map that supports a strong Fortnite decision
- I can explain and revise my strategy using geometric evidence, consider more than one approach, and reflect on how my choices show confidence, problem solving, and belonging as a math learner.
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