Juni Mathematics

Our Curriculum

Juni Mathematics

Juni Mathematics is designed for students to experience the power of critical thinking. In a world that’s changing drastically everyday, we see it as our responsibility to develop tomorrow's leaders who apply take their learnings from our courses to solve pressing real-world problems.

Our curriculum is designed with the most rigorous Common Core and state standards. Using these standards as our starting point, we develop additional pathways to further build our students' understanding in Mathematics. Currently, we offer courses in Pre-Algebra, Algebra 1, Geometry, Algebra 2, and Pre-Calculus & Trigonometry, with AP Calculus on the way. Each course is divided into A and B halves, with each half typically taking 4-7 months to complete.

We understand that each student is unique and learning Mathematics is personal. Through our intentional and rigorous instructor matching process, we pair our students an instructor who will support their journey through learning Mathematics.


Juni Learning Mathematics course sequence

Pre-Algebra

PAA

Pre-Algebra A

Ages 10-13

Pre-Algebra is an honors-level middle school course that prepares students for the study of Algebra 1. This course is suitable for mathematically advanced fifth and sixth graders, in addition to seventh and eighth graders who would like to build a strong foundation in Pre-Algebra concepts.

Pre-Algebra A covers four broad topics: arithmetic review; fractions, decimals, percents, and ratios; arithmetic expressions; and exponents and radicals. The practice problems provided in this course range from fundamentals practice to complex word problems from previous AMC8 and MathCounts contests.

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PAB

Pre-Algebra B

Ages 10-13

Pre-Algebra is an honors-level middle school course that prepares students for the study of Algebra 1. This course is suitable for mathematically advanced fifth and sixth graders, in addition to seventh and eighth graders who would like to build a strong foundation in Pre-Algebra concepts.

Pre-Algebra B is meant to be taken directly after Pre-Algebra A. It covers four broad topics: data and statistics, geometry, number theory, and probability and counting. The practice problems provided in this course range from fundamentals practice to complex word problems from previous AMC8 and MathCounts contests.

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Algebra 1

AA

Algebra 1A

Ages 12-15

Algebra 1 sets the foundation of algebra, focusing on working with linear and quadratic equations while building appropriate problem-solving skills. This course is suitable for students who have completed a Pre-Algebra course or equivalent, and after successful completion of Algebra 1, students are prepared to move onto Geometry.

Algebra 1A covers three broad topics: solving linear equations, graphing linear equations, and solving systems of linear equations. The practice problems provided in this course range from fundamentals practice to complex word problems.

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AB

Algebra 1B

Ages 12-15

Algebra 1 sets the foundation of algebra, focusing on working with linear and quadratic equations while building appropriate problem-solving skills. This course is suitable for students who have completed a Pre-Algebra course or equivalent, and after successful completion of Algebra 1, students are prepared to move onto Geometry.

Algebra 1B is meant to be taken directly after Algebra 1A. It covers four broad topics: manipulating polynomials, solving quadratic equations, graphing quadratic equations, and functions. The practice problems provided in this course range from fundamentals practice to complex word problems.

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Geometry

GEOA

Geometry A

Ages 13-16

Geometry is a proof-based, high school level geometry course that emphasizes geometric concepts in two and three dimensions as they apply to points, lines, planes, circles, and polygons. This course is suitable for students who have completed an Algebra 1 course or equivalent, and after successful completion of Geometry, students are prepared to move onto Algebra 2.

Geometry A covers five broad topics: geometry foundations, lines and angles, triangles, triangle dissection, and trigonometry. The practice problems provided in this course range from fundamentals practice to complex proof-based problems.

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GEOB

Geometry B

Ages 13-16

Geometry is a proof-based, high school level geometry course that emphasizes geometric concepts in two and three dimensions as they apply to points, lines, planes, circles, and polygons. This course is suitable for students who have completed an Algebra 1 course or equivalent, and after successful completion of Geometry, students are prepared to move onto Algebra 2.

Geometry B is meant to be taken directly after Geometry A. It covers four broad topics: quadrilaterals and polygons, circles, transformations, and three-dimensional shapes. The practice problems provided in this course range from fundamentals practice to complex proof-based problems.

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Algebra 2

ALGA

Algebra 2A

Ages 14-17

Algebra 2 is a high school level algebra course that builds fluency in understanding and analyzing complex functions. Students study the applications of different function types, including exponential, rational, and trigonometric functions, using these to model and draw conclusions about real-life situations. This course is suitable for students who have completed courses in Algebra 1 and Geometry or equivalent. After successful completion of Algebra 2, students are prepared to move onto Pre-Calculus & Trigonometry.

Algebra 2A covers four broad topics: quadratic functions, polynomials, rational functions, and radical and piecewise functions.

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ALGB

Algebra 2B

Ages 14-17

Algebra 2 is a high school level algebra course that builds fluency in understanding and analyzing complex functions. Students study the applications of different function types, including exponential, rational, and trigonometric functions, using these to model and draw conclusions about real-life situations. This course is suitable for students who have completed courses in Algebra 1 and Geometry or equivalent. After successful completion of Algebra 2, students are prepared to move onto Pre-Calculus & Trigonometry.

Algebra 2B is meant to be taken directly after Algebra 2A. It covers five broad topics: exponents and logarithms, sequences, matrices, probability and statistics, and trigonometry.

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Pre-Calculus & Trigonometry

PCTA

Pre-Calculus & Trigonometry A

Ages 15-18

Pre-Calculus & Trigonometry is a high school level course that prepares students for success in their studies of calculus. The course is designed to build on students’ prior understanding of Algebra and Geometry to learn rigorous concepts such as the binomial theorem, conic sections, trigonometry, and a brief introduction to calculus. This course is suitable for students who have completed courses in Algebra 2 and Geometry or equivalent. After successful completion of Pre-Calculus & Trigonometry, students will be prepared to move onto AP Calculus.

Pre-Calculus & Trigonometry A covers four broad topics: polynomials; piecewise, rational, and logarithmic functions; sums, sequences, the binomial theorem; and conic functions.

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PCTB

Pre-Calculus & Trigonometry B

Ages 15-18

Pre-Calculus & Trigonometry is a high school level course that prepares students for success in their studies of calculus. The course is designed to build on students’ prior understanding of Algebra and Geometry to learn rigorous concepts such as the binomial theorem, conic sections, trigonometry, and a brief introduction to calculus. This course is suitable for students who have completed courses in Algebra 2 and Geometry or equivalent. After successful completion of Pre-Calculus & Trigonometry, students will be prepared to move onto AP Calculus.

Pre-Calculus & Trigonometry B is meant to be taken directly after Pre-Calculus & Trigonometry A. It covers five broad topics: trigonometry, applications of trigonometry, linear algebra, probability, and introduction to calculus.

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AP Calculus AB & BC

APC

AP Calculus AB & BC

Ages 15-18

AP Calculus is a rigorous high-school level course that is designed to build students’ in-depth understanding of calculus. The course is aligned with College Board standards and is designed to prepare students for the AP Calculus AB or BC exam.

This course is suitable for students who are taking AP Calculus concurrently in school or are studying for the exam independently. We require that students have completed Pre-Calculus / Trigonometry as a prerequisite to this course. Due to the length and rigor of this course, we strongly recommend all students enroll in this course with two classes per week or more.

For students who are taking AP Calculus AB, the course will cover: Limits and Continuity, Differentiation, Applications of Derivatives, Integration and Accumulation of Change, Differential Equations, and Applications of Integrations. For students who are taking AP Calculus BC, this course will also cover Parametric Equations, Polar Coordinates, and Vector-Valued Functions.

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