Math Course Descriptions

Math 4 is designed to deepen elementary math skills and introduce foundational concepts for higher-level math.  This math class meets each week for in-person math lessons and a math activity or game.  Homework is assigned corresponding to the curriculum The Good and the Beautiful Math 4 or you may choose to use your own curriculum for homework.  Designed to build mathematical confidence and independence in fourth-grade students, lessons blend solid academic concepts with logic and real-world applications.

Core Concepts Covered:

• Multiplication and division of multi-digit numbers

• Prime and composite numbers

• Fractions and decimals (adding, subtracting, and comparing)

• Lines, angles, area, perimeter, and symmetry

• Graphing, data analysis, and basic probability 

In Math 6 students practice multi-step logical reasoning and beginning algebraic thinking, connecting abstract mathematical principles to the real world.  This in-person math class meets each week for math lessons and activities.  Homework is assigned corresponding to the curriculum The Good and the Beautiful Math 6 or you may choose to assign homework for your student using your own curriculum. 

Key topics include: 

• Absolute values, prime factorization, greatest common factors, and least common multiples.

• Positive and negative fractions/decimals, multi-digit decimal division, and complex conversions.

• Order of operations, infinite sequences, algebraic properties, and coordinate planes.

• Area and surface area, 3D nets, and properties of triangles.

• Probability, percentages, basic statistics, and graphing.

This course designed for 7th and 8th grade students covers pre-algebra and basic geometry.  It includes a review of the math concepts students have learned so far while introducing basic algebraic concepts, preparing students for

Algebra I.  

​

Geometry involves the study of points, lines, planes and other geometric figures as they relate to our physical world. Students will learn to measure geometric figures and their areas and volumes; develop their logic and inductive and deductive reasoning skills. The relationship between figures and properties that make figures unique will be developed and applied to real world situations.  Constructions, loci and coordinate geometry will also be studied.

Pre-calculus completes the formal study of the functions begun in Algebra I and Algebra II. Students focus on modeling, problem solving, data analysis, trigonometric and circular functions and their inverses, polar coordinates, complex numbers, conics, and quadratic relations.  Students will be introduced to the rate at which a variable quantity varies, thus laying the foundation for calculus.

The Fifth-Grade math course elevates number sense and transitions students into early algebraic, geometric, and advanced arithmetic thinking.  This math class meets each week for in-person math lessons and a math activity or game.  Homework is assigned corresponding to the curriculum The Good and the Beautiful Math 5 or you may choose to assign homework for your student using your own curriculum. 

Key topics include: 

• Prime factorization, exponents, square roots, order of operations, and long division with remainders.

• Converting, rounding, and computing decimals to the ten-thousandths place.

• Measuring and drawing angles, coordinate planes, geometric solids, understanding pi, and converting units of length.

• Analyzing data using single, double, and triple line graphs, bar graphs, and finding the mean, mode, and range.

This course designed for 7th grade students prepares them for pre-algebra. This in-person math class meets each week for math lessons and activities.  Homework is assigned corresponding to the curriculum The Good and the Beautiful Math 7 or you may choose to assign homework for your student using your own curriculum. The class emphasizes strong mathematical reasoning and number sense.

Topics introduced include: 

• Polynomials and negative exponents

• Scientific notation and absolute value

• Linear equations and introductory algebraic concepts

• Complex fractions and decimals

• Percents and compound interest

• Coordinate planes and basic graph theory

​

Algebra 1 introduces basic algebraic skills and provides the foundation for all subsequent math courses. Topics include, but are not limited to, properties of real numbers, relations, linear, and quadratic functions, properties of exponents, graphing equations and inequalities, systems of equations, radicals, factoring polynomials, rational expressions, statistics, data analysis, and mathematical modeling.

​

Algebra 2/Trigonometry covers functions and relations, systems of linear equations and inequalities, quadratic functions and relations, higher degree polynomials, complex numbers, exponential and logarithmic functions, rational algebraic functions, irrational algebraic functions, sequence and series, probability, data analysis, and trigonometry.  Applications are handled by creating mathematical models of phenomena in the real world, and then using those models to make predictions.

In Calculus students will extend their experience with functions as they study the fundamental concepts of calculus: limiting behaviors, difference quotients and the derivative, Riemann sums and the definite integral, antiderivatives and indefinite integrals, and the Fundamental Theorem of Calculus. Students review and extend their knowledge of trigonometry and basic analytic geometry. Important objectives of the calculus sequence are to develop and strengthen the students’ problem-solving skills and to teach them to read, write, speak, and think in the language of mathematics. In particular, students learn how to apply the tools of calculus to a variety of real-world problem situations.