The Learning Vine - John 15:5
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Math


Problem Solving Skills

These are the centerpiece of the LV math program. In all of our math courses, these skills are emphasized and taught at all ages.

Curriculum Goals

  • Cultivate an appreciation and love for mathematics and learning
  • Broaden understanding of mathematical vocabulary
  • Strengthen mental math abilities
  • Promote the ability to think critically and problem solve
  • Develop solid computational skills
  • Solidify concept understanding over rote memorization at every level
  • Foster a scholarly mindset--encouraging excellence in all things--to God’s glory
  • Prepare students for higher level studies in mathematics
Grades 1-6

Meets on Mondays for 80 minutes.

C
lass time emphasizes activities which are well suited to a group setting and professional teacher interactions.
  • Reviews
  • Instruction of difficult concepts and word problems
  • Mental Math skill building
  • Speed and accuracy games with basic facts
  • Hands-on activities to help visualize difficult concepts
  • Positive encouragement from teacher to promote positive attitudes towards math
  • Group competitions and games to build all basic skills
  • Vocabulary building activities
  • Short quizzes and assessments
 
Coursework over each 2 year period may include (but is not limited to) the following:
  • Basic Computation
  • Arithmetic
  • Mental Math
  • Critical Thinking
  • Problem Solving/Word Problems
  • Algebra
  • Geometry
  • Math Vocabulary
Topics:  Numbers, Counting, Place Value, Addition, Subtractions, Multiplication, Division, Fractions, Money, Decimals, Customary and Metric Measurement and Measurement Conversions, Estimation, Factors, Multiples, Divisibility, Time, Volume, Mass, Weight, Length, and Time

Grades 7-12

Meets on Mondays for 70 minutes and Fridays for 55 minutes. Tuition includes online Math XL subscription.
 Pre-Algebra A/B
•    Ages: 11-14
•    Grade: 7

With a solid math foundation begun, students now move on to working with all real numbers in preparation for a proficient understanding of arithmetic. Students continue to develop abstract and critical thinking abilities while applying the computation skills they learned previously. Facility developed at this level prepares students to tackle more difficult math concepts and encourages the ability to use math in the real world. More involved vocabulary, geometry, data analysis, and algebra concepts are incorporated throughout and are connected to applications in art, science, engineering and technology. 
Application of these basic skills and their relevance to the traditional components of algebra will give students the solid foundation necessary to be successful in Algebra I.
Placement testing and/or LV teacher recommendation will determine the entry level in this two-level class.


Algebra I
•    Ages 13-16
•    Grades: 8-10
•    High School Credit:1.0 Algebra (Honors option available)

This class covers the knowledge, skills, and essential ideas of elementary algebra and sets the foundation for geometry and the introduction of calculus. The following topics will be emphasized: equations and polynomials, algebraic factoring and fractions, mathematical functions, systems of linear equations, algebraic inequalities, rational and irrational numbers, and quadratic equations and functions. Special attention will be given to the practical aspect of algebra as well as the interconnections between algebra and other subjects.

Geometry (not offered 2016-2017)
•    Ages: 13-17
•    Grades: 9-11
•    High School Credit: 1.0  Geometry (Honors option available)

•    Pre-requisite: Algebra I


God’s creation is infinite in complexity and astonishing in order. This course is intended to stimulate and cultivate in students an awe of God’s natural universe through the analysis of geometric properties. Students’ cognitive abilities for abstract and logical thought will develop as they learn to trouble-shoot both real-world and theoretical problems. Course content includes, but is not limited to, the following: terminology and fundamental properties of geometry (postulates, etc.); segments, lines, angles and their various relationships; exploration of geometric relationships (parallelism, perpendicularity, congruence, etc.); coordinate geometry and transformations on the coordinate plane; deductive and inductive reasoning and their application to proof; formulas pertaining to plane and solid figure measurement (perimeter, volume, area, etc.); properties of circles, geometric constructions, and right triangle trigonometry functions. Projects and simulations are incorporated to connect geometry to the world through real life scenarios and problem solving.



Algebra II with Trigonometry
•    Ages: 14-18
•    Grades:10-12
•    High School Credit:1.0 Algebra II/Trig (Honors option available)
•    Pre-requisites: Algebra I and Geometry

This class is both a continued study of advanced geometry and algebra concepts as well as a solid course in trigonometry in anticipation of the study of calculus. It continues to cultivate an appreciation for the wonders of God’s natural universe through the analysis of mathematical thought and quantitative reasoning. As students polish their mathematical and analytical skills, they learn how to solve more difficult real-world and theoretical problems. The fundamental algebra and trigonometry concepts necessary for proficiency in understanding calculus including polynomial, rational, exponential, logarithmic, and trigonometric functions and graphs continue to be studied in connection to the world around us.  

Pre-Calculus
•    Ages: 15-18
•    Grades: 11-12
•    High School Credit:1.0 Pre-Calculus (Honors option available)
•    Pre-requisites: Algebra I, Geometry, and Algebra II/Trigonometry

This class is both a continued study of advanced geometry and algebra concepts as well as a solid course in trigonometry with an introduction to calculus. It continues to cultivate an appreciation for the wonders of God’s natural universe through the analysis of mathematical thought and quantitative reasoning.  As students polish their mathematical and analytical skills, they learn how to solve more difficult real-world and theoretical problems. The fundamental algebra and trigonometry concepts will be reviewed along with an introduction to the foundational concept of calculus—limits.  ​

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  • Home
  • About LV
    • Who We Are
    • Our Team
    • Policies
    • Employment
  • What We Offer
    • Overview
    • Academic Courses >
      • FAQ for Academics
    • Enrichment Courses >
      • FAQ for Enrichment Classes
    • Little Learners
  • Admissions
    • Come for a Visit
    • How to apply
    • Virtual Tour
    • What Moms are saying
    • Refund Policy
    • 2025 - 2026 Enrollment
  • LV Families
    • School Calendar & Schedule
    • Book & Supply Lists
    • Report an Absence
    • Add / Change Form
    • LV Approved Tutors
    • Volunteer
    • Tell a Friend
    • FB Community Group