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# K-8 Math Curriculum & High School Math Curriculum.

Our math curriculum is based on Singapore Math and is aligned to Common Core State Standards.

## K

Kindergarten
Counting numbers and objects, understanding addition and subtraction, and introducing them to spatial thinking, 2-D & 3-D shapes.

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## 1

Solving addition & subtraction word problems using different strategies, telling time, counting money and connect shapes & their attributes.

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## 2

Multistep word problems, multiplication, measuring & estimating lengths in standard units, drawing 2-D & 3-D shapes, time & money.

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## 3

Mastering multiplication & division, multi-step word problems using different operations, fractions, solving for area & perimeter, and identify 2-D shapes by sides and angles.

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## 4

Apply models to multiplication and division problems, equivalent fractions, decimals, measurement conversions, interpreting data with line plots, angles & symmetry.

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## 5

Derive patterns, adding, subtracting, multiplying and dividing fractions, working with decimals, introduction to coordinate planes, and volume.

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## 6

Understanding negative numbers, algebraic expressions, solving one-step equations, inequalities, ratios, unit rates and percentages, extend to working on nets and surface areas.

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## 7

Solve multi-step real life word problems with rational numbers (any form), linear expressions, ratio and proportion, scale factors, and diving into understanding probability models.

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## 8

Solving linear equations, simultaneous linear equations, working with slopes, rules on exponents, diving into functions, work on transformation and Pythagorean Theorem.

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## Algebra 1
Simplifying algebraic expressions; factoring polynomials; solving linear, quadratic & exponential functions & inequalities; analyzing functions using domain, range, rates of change, intercepts & zeros; calculating probability & analyzing graphs

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## Geometry
Understanding transformations, congruency & similarity; geometric theorems; geometric constructions; geometric properties with equations; geometric measurement & dimensions; applying geometric concepts to solve real-world problems.

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## Algebra 2
Building radical, rational, & exponential functions; systems of equations in two-variables; complex numbers; understanding logarithms as solutions for exponentials; trigonometric functions; applying trigonometric identities; rational, radical, absolute value & exponential functions.

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## Statistics
Representing, interpreting, & summarizing data using plots & functions; analyzing normal distribution; mean, median, mode, interquartile range, & standard deviation; differentiating between correlation and causation; probability concepts to solve real-world problems.

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## Trigonometry
Applying trigonometric ratios and identities to solve real-world problems.

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## Pre-Algebra
Understanding the fundamentals of algebra and building the foundation for a standard high school algebra course.

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## Pre-Calculus
Understanding discrete topics in advanced algebra and trigonometry to build the foundation for the study of calculus. Understanding functions, trigonometry, polynomials, complex numbers, matrices, vector, exponentials & logarithms, series & sequences, limits & continuity, and derivatives.

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## Calculus AB
Course Summary: Developing the students’ understanding of the methods and applications of calculus. Appreciating the multi-representational approach to calculus by understanding the connections among the graphical, numerical, analytical, and verbal representations of problems in calculus.

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## Calculus BC
Mastering additional advanced topics in calculus, such as infinite series, sequences, parametric equations, and vectors.

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