Matemáticas, Grado 9, De-streamed

Students consolidate and extend their understanding of numbers and number systems. They investigate the development of numbers throughout history and make clear connections between different sets and subsets of numbers, including rational and irrational numbers, integers, and whole numbers. Students read and alter pre-written code structures to sort and categorize numbers into these sets, while applying real-world numerical constraints to basic cost-of-living adjustments and asset appreciation frameworks.

(5 horas en línea / 5 horas fuera de línea)

B1.1, B1.2, B1.3, C2.1, F1.1

Students apply their understanding of rational numbers, ratios, rates, percentages, and proportions to solve a variety of multi-step problems in practical real-world contexts. They explore proportional reasoning to calculate rates of change, perform scaling operations, and solve real-life comparison problems. Students write conditional code (such as if-then parameters) to dynamically compute unit rates, and apply these algorithms to analyze financial tools, foreign currency exchanges, and multi-layered purchase taxes.

(7 hrs online / 7 hrs offline)

B3.1, B3.2, B3.3, B3.4, B3.5, C2.2, F1.1, F1.2

Students learn to represent numbers in various ways, evaluate numerical expressions involving powers, and simplify algebraic expressions using the laws of exponents. They develop a foundational understanding of algebraic concepts by adding, subtracting, and multiplying polynomials using concrete tools and abstract representations. Students utilize repeating loops inside automated scripts to evaluate exponential powers, mapping these algebraic models directly to financial applications involving compounding interest formulas and future savings trajectories.

(8 horas en línea / 8 horas fuera de línea)

B2.1, B2.2, B2.3, C1.1, C1.2, C1.3, C2.1, C2.3, F1.4

Students represent, analyze, and compare linear and non-linear relations that model real-life situations. They generate tables of values, graphs, and algebraic equations to identify patterns, make predictions, and understand how independent and dependent variables interact in linear situations. Students create subprograms to automate data arrays for non-linear versus linear functions, applying these visualizations to track long-term changes in financial assets, personal earning potential, and career-specific income growth over time.

(6 hrs online / 6 hrs offline)

C2.3, C3.1, C3.2, C3.3, C3.4, C3.5, F1.3

Students solve first-degree linear equations and rearrange formulas using algebraic manipulation. They explore the core characteristics of linear relations, determining constants of variation, initial values, slopes, and intercepts, and describe how changing these parameters influences the corresponding graphs and equations. Students trace and debug code blocks designed to solve for isolated variables, linking these algebraic rearrangements to balanced personal budgeting equations and tracking down hidden down-payment variables.

(6 hrs online / 6 hrs offline)

C1.4, C1.5, C2.2, C4.1, C4.2, C4.3, C4.4, F1.3

Students investigate geometric and measurement relationships of two-dimensional shapes and three-dimensional objects. They apply geometric properties to calculate perimeter, area, and interior/exterior angle configurations of various polygons and circles, solving problems embedded in architecture and design. Students use input variables in code to calculate the spatial dimensions of distinct polygons, evaluating the cost efficiency of varying material designs and manufacturing options within local commercial environments.

(7 hrs online / 8 hrs offline)

C2.1, E1.1, E1.2, E1.3, F1.1

Students apply measurement formulas to calculate the surface area and volume of composite three-dimensional figures, including prisms, cylinders, pyramids, cones, and spheres. They analyze optimization problems to determine the maximum volume or minimum surface area given specific material and resource constraints. Students alter parameters within localized optimization scripts to test variable outputs instantly, minimizing real-world structural construction expenses and raw material production overhead.

(7 hrs online / 8 hrs offline)

C2.2, E1.4, E1.5, F1.1

Students describe the collection and use of data while representing and analyzing single-variable and two-variable datasets using charts, histograms, and scatter plots. They apply the complete mathematical modelling process to evaluate data trends, identify potential sources of bias, and formulate evidence-based predictions. Students design data processing scripts to filter massive datasets, generating predictive models that evaluate fluctuating economic indicators, consumer behavior shifts, and interest rate impacts.

(8 hrs online / 5 hrs offline)

C2.3, D1.1, D1.2, D1.3, D2.1, D2.2, D2.3, D2.4, D2.5, F1.4

This is a proctored exam worth 20% of the final grade.

(3 horas en línea)