WORLD 01
T
functions, notation, domain, range, and transformations
← Grade 9 Bridge
SEE THE PATTERN. BUILD THE MODEL. TEST THE LIMITS.
Precalculus and Advanced Math
Use functions to describe change and mathematics to defend decisions.
The Function Engine is translating the world into patterns, but several models have drifted off course. Super Gio needs exact thinkers to reconnect algebra, geometry, trigonometry, and real data.
SUPER GIO SAYS“If the model surprises us, excellent. Now we get to investigate.”
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GRADE 8 ARTIFACTTransformation Atlas
YOUR EXPEDITION MAP
Eight worlds to master
Finish each Challenge mission to earn a WORLD MASTERED star.
WORLD 02
P
polynomials, factoring, and zeros
Polynomial Operations Engine
Use structure to connect factors, roots, graphs, and equations.WORLD 03
R
rational expressions and functions
Rational Functions Lab
Track restrictions and behavior that cancellation alone can hide.WORLD 04
G
exponential and logarithmic relationships
Exponential and Logarithmic Observatory
Model repeated change and use logarithms to solve for hidden exponents.1
LearnExponential and Logarithmic Observatory: Map the Idea
→2PracticeExponential and Logarithmic Observatory: Work the Evidence
→3ChallengeExponential and Logarithmic Observatory: Defend the Move
→SUPER GIO CHALLENGE · WORLDS 1–4
WORLD 05
U
trigonometric ratios, radians, and periodicity
Trigonometry Circle
Connect right-triangle ratios to circular motion and repeating phenomena.WORLD 06
P
arithmetic and geometric sequences and series
Sequences and Series Workshop
Represent discrete change recursively, explicitly, and through sums.WORLD 07
C
coordinate geometry, conics, and vectors
Analytic Geometry Map
Use algebra to describe geometric relationships and prove what a diagram suggests.WORLD 08
M
modeling, assumptions, error, and communication
Mathematical Modeling Defense
Build, test, revise, and defend a model for a real situation.1
LearnMathematical Modeling Defense: Map the Idea
→2PracticeMathematical Modeling Defense: Work the Evidence
→3ChallengeMathematical Modeling Defense: Defend the Move
→SUPER GIO CHALLENGE · WORLDS 5–8