WORLD 01
F
functions, equations, inequalities, and multiple representations
← Grade 8 Bridge
Functions, quadratics, complex numbers, proof, circles, and trigonometry
Algebra II and Geometry Engine
Model precisely. Prove confidently.
The Bridge Engine has algebra and geometry maps that no longer agree. Super Gio must reconnect functions, equations, diagrams, proofs, and models. Placement can vary, so every world builds transferable reasoning.
SUPER GIO SAYS“If the graph and equation disagree, one of them forgot its homework.”
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GRADE 8 ARTIFACTFunction Diagnostic
YOUR EXPEDITION MAP
Eight worlds to master
Finish each Challenge mission to earn a WORLD MASTERED star.
WORLD 02
P
quadratic expressions, equations, graphs, and models
Quadratic Function Lab
Factor, complete the square, use the quadratic formula, and interpret roots, vertices, and transformations.WORLD 03
E
polynomial operations, factoring, radicals, and rational exponents
Polynomial and Radical Workshop
Operate on polynomials and radicals, factor strategically, and connect rational exponents to roots.WORLD 04
G
exponential growth, decay, logarithms, and inverse relationships
Exponential and Logarithmic Models
Model repeated percent change and use logarithms conceptually to solve for exponents and compare scales.1
LearnDecode Exponential and Logarithmic Models
→2PracticeApply exponential growth, decay, logarithms, and inverse relationships
→3ChallengeGrowth Scale Challenge
→SUPER GIO CHALLENGE · WORLDS 1–4
WORLD 05
C
complex numbers, nonlinear equations, and systems
Complex Numbers and Equation Systems
Represent complex numbers, solve equations beyond the real number line, and analyze linear and nonlinear systems.WORLD 06
P
transformations, similarity, congruence, and deductive proof
Similarity, Congruence, and Proof
Build rigorous geometric arguments from definitions, transformations, congruence criteria, and similarity relationships.WORLD 07
G
circle theorems, coordinate geometry, spatial relationships, and right-triangle trigonometry
Circles, Lines, Planes, and Trigonometry
Analyze lines and planes, prove circle relationships, and use sine, cosine, and tangent to solve right triangles.WORLD 08
M
integrated mathematical modeling, proof, and communication
Algebra-Geometry Modeling Capstone
Create and defend a model combining algebraic functions, geometric constraints, data, and explicit assumptions.1
LearnDecode Algebra-Geometry Modeling Capstone
→2PracticeApply integrated mathematical modeling, proof, and communication
→3ChallengeModel Defense Board Challenge
→SUPER GIO CHALLENGE · WORLDS 5–8