You will use math to explain Apex Legends patterns and improve your strategy decisions. A sequence is a list. Each term follows a rule. Write sequences recursively from earlier values. That means each term comes from earlier terms. Write them explicitly from the term number. That means each term comes from its position. A finite geometric series adds repeated changes across limited rounds. A geometric series is a sum with a steady pattern. Build equations and inequalities. An equation shows two equal expressions. An inequality shows a range of possible values. Probability means how likely something is to happen. Use probability to compare choices with suitable accuracy. Share your evidence. Listen to feedback. Reflect on how your experience shaped your decision.
Learning goals
I can write arithmetic and geometric sequences in recursive and explicit forms for Apex patterns. A sequence is a list of numbers with a pattern. I can use finite geometric series to find totals from repeated in-game changes. A series is a sum of numbers. I can use probability to compare Apex strategies and explain which choice is stronger. Probability is how likely something is to happen. I can create and solve equations or inequalities for linear, quadratic, rational, and exponential situations. An equation shows two amounts are equal. I can choose sensible accuracy, explain my thinking clearly, and improve my strategy. Accuracy means how close your answer is to the real value.
Standards
[Colorado] 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.
[Colorado] HS.S-MD.B.7 - (+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game).
[Colorado] HS.A-SSE.B.4 - Use the formula for the sum of a finite geometric series (when the common ratio is not 1) to solve problems. For example, calculate mortgage payments.
[Colorado] HS.N-Q.A.3 - Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
[Colorado] HS.A-CED.A.1 - Create equations and inequalities in one variable and use them to solve problems. *Include equations arising from linear and quadratic functions, and simple rational and exponential functions.*
Competencies
Critical Thinking & Problem Solving - Students consider a variety of innovative approaches to address and understand complex questions that are authentic and important to their communities.
Academic Mindset - Students establish a sense of place, identity, and belonging to increase self-efficacy while engaging in critical reflection and action.
Effective Communication - Students practice listening to understand, communicating with empathy, and share their learning through exhibiting, presenting and reflecting on their work.
Content Expertise - Students develop key competencies, skills, and dispositions with ample opportunities to apply knowledge and engage in work that matters to them.
Products
You will create an Apex Legends strategy notebook using match data or a provided data set.
Include recursive and explicit sequences.
A sequence is a list of numbers that follows a rule.
Include a finite geometric sum.
A geometric sum adds terms that change by the same ratio.
Include one equation or inequality.
An equation shows two equal amounts.
An inequality shows one amount is greater or less.
Make a probability chart comparing strategies.
Probability means how likely an event is to happen.
Round results using the data limits.
Create a final infographic.
Get peer feedback.
Revise it.
Present your recommended strategy.
Launch
Study a shared Apex Legends endgame scenario with ring damage, loot odds, and placement points.
Record your strategy and one mathematical reason in an individual launch note.
How can math help you analyze and improve Apex Legends strategies?
What patterns in Apex Legends can you explain with math?
How can you use math to make better decisions in Apex Legends?
Exhibition
Create an Apex Legends strategy board. Show sequences, geometric sums, probability, equations, and rounded results. A sequence is a pattern in order. Present your recommended strategy in a three-minute esports analyst briefing for peers and invited guests. Explain the patterns you found, your decision, and how math could improve gameplay. Answer audience questions. Then display your board with a reflection on making better decisions.