IDEA MATH Curriculum

IDEA MATH provides extensive curriculum. Our courses are intended for able students desiring to expand their mathematics knowledge beyond regular classroom settings. We emphasize study skills (such as taking notes, oral and written presentations, and listening, observing, and organization etc.). We believe in studying math via problem solving as a medium to develop students' learning interests, problem solving, and critical thinking abilities. Our courses cover a board range of topics with more depth than most contests require. While our programs are not intended to be boot camps for contest preparations, many of our students participate in contests and do well in them. The following table provides some simplified connections between our courses and certain math contests.

IDEAMATH Curriculum grid     

Extra-Curricular Extra-Curricular
PC0/Pre-Algebra 1,
PCA/Pre-Algebra 2
PC1, PC2, PCX
UC1, UC2, UC3
RC1, RC2, RCX, MO1, MO2, MO3, MO4
PC0/Pre-Algebra 1, PCA/Pre-Algebra 2
Algebra 1, Geometry , Algebra 2, Pre-Calculus
Calculus 1, Calculus 2

Extra-Curricular Courses

PC0/Pre-Algebra 1

School Enrichment Component: Pre-Algebra based, problem-solving oriented. PC0-Pre-Algebra 1 Sample Lecture
Extra-curricular Component: Number sense, shapes and figures, counting basics, patterns recognition, arithmetic techniques, and word problems.
Contest reference: CML, Intro AMC8.
Intended For: Able and interested 4th and 5th graders.
Sample Lectures Coming soon.

PCA/Pre-Algebra 2

School Enrichment Component: (Advanced) Pre-Algebra based, problem-solving oriented. PCA-Pre-Algebra 2 Sample Lecture
Extra-curricular Component: Number sense, shapes and figures, counting basics, patterns recognition, arithmetic techniques, and word problems.
Contest reference: CML, Intro AMC8.
Intended For: Able and interested 5th and 6th graders who have good command on Pre-Algebra and some experience on extracurricular activities. (For example, students who have completed IDEA MATH Pre-Algebra course or equivalent.)
Sample Lectures Coming soon.

PC1 (or Math Contest 1)

School Enrichment Component: Integrated Math 1 : Algebra 1 based.
Extra-curricular Component: Math Challenges Level 1 (MC1):Contest reference: Intro to medium level AMC8 and school rounds of MathCounts
Intended For: Able and interested 6th, 7th graders who have excellent command on Pre-Algebra (some familiarity with Algebra 1 is welcome) and some experience on extracurricular activities such as AMC8 and MathCounts or equivalent. (For example, students who have completed IDEA MATH PC0 course or equivalent.)
Sample Lectures Integrated Math 1 Sample Lecture
Math Challenges 1 Algebra Topic Sample Lecture
Math Challenges 1 Counting Topic Sample Lecture
Math Challenges 1 Geometry Topic Sample Lecture
Math Challenges 1 Number Sense Topic Sample Lecture

PC2 (or Math Contest 2)

School Enrichment Component: Integrated Math 2: Algebra 1 based
Extra-curricular Component: Math Challenges Level 2 (MC2):Contest reference: Medium level AMC8, intro level AMC10, school and chapter rounds of MathCounts
Intended For: Able and interested 6th, 7th graders who have good command on Algebra and experience on extracurricular activities such as AMC8 and MathCounts or equivalent. (For example, students who have completed IDEA MATH PC1 course or equivalent.)
Sample Lectures Integrated Math 2 Sample Lecture
Math Challenges 2 Algebra Sample Lecture
Math Challenges 2 Counting Sample Lecture
Math Challenges 2 Geometry Sample Lecture
Math Challenges 2 Number Sense Sample Lecture

PCX (or Math Contest 3)

School Enrichment Component: Integrated Math 3
Advanced Algebra 1 and Geometry based
Extra-curricular Component: Math Challenges Level 3 (MC3)
Contest reference: Advanced level AMC8, intro to medium level AMC 10, chapter and state rounds of MathCounts
Intended For: Students who have completed IDEA MATH PC2 course or equivalent.
(As a general reference, students shall have an AMC10 score in 90 - 99 range)
Sample Lectures Integrated Math 3 Algebra Sample Lecture
Integrated Math 3 Geometry Sample Lecture
Math Challenges 3 Algebra Sample Lecture
Math Challenges 3 Counting Sample Lecture
Math Challenges 3 Geometry Sample Lecture
Math Challenges 3 Number Sense Sample Lecture

UC1 (or Math Contest 4)

School Enrichment Component: Integrated Math 4
Advanced Algebra 1 and Geometry based
Extra-curricular Component: Math Challenges Level 4 (MC4)
Contest reference: Medium level AMC 10, intro level AMC12 and AIME, state and national rounds of MathCounts
Intended For: Students who have completed IDEA MATH PCX course or equivalent.
(As a general reference, students shall have an AMC10 score in 96 - 108 range.)
Sample Lectures Integrated Math 4 Algebra Sample Lecture
Integrated Math 4 Geometry Sample Lecture
Math Challenges 4 Algebra Sample Lecture
Math Challenges 4 Counting Sample Lecture
Math Challenges 4 Geometry Sample Lecture
Math Challenges 4 Number Sense Sample Lecture

UC2 (or Math Contest 5)

School Enrichment Component: Integrated Math 5
Advanced Algebra 2 and Geometry and Trigonometry based
Extra-curricular Component: Math Challenges Level 5 (MC5)
Contest reference: Medium to advanced level AMC 10, medium level AMC12, intro to medium level AIME, state and national rounds of MathCounts, intro to medium level HMNT
Intended For: Students who have completed IDEA MATH UC1 course or equivalent.
(As a general reference, students shall have an AMC10 score Students who have completed IDEA MATH UC1 course or equivalent. (As a general reference, students shall have an AMC10 score in 102 - 117 range.)
Sample Lectures Integrated Math 5 Algebra Sample Lecture
Integrated Math 5 Geometry Sample Lecture
Math Challenges 5 Algebra Sample Lecture
Math Challenges 5 Counting Sample Lecture
Math Challenges 5 Geometry Sample Lecture
Math Challenges 5 Number Sense Sample Lecture

UC3 (or Math Contest 6)

School Enrichment Component: Integrated Math 6
Advanced Algebra 2 and Trigonometry based
Extra-curricular Component: Math Challenges Level 6 (MC6)
Contest reference: Advanced level AMC 10, medium level AMC12 and AIME, state and national rounds of MathCounts, medium level HMNT
Intended For: Students who have completed IDEA MATH UC2 course or equivalent.
(As a general reference, students shall have an AIME score in 4-6 range.)
Sample Lectures Integrated Math 6 Algebra Sample Lecture
Integrated Math 6 Geometry Sample Lecture
Math Challenges 6 Algebra Sample Lecture
Math Challenges 6 Counting Sample Lecture
Math Challenges 6 Geometry Sample Lecture
Math Challenges 6 Number Sense Sample Lecture

RC1

School Enrichment Component: Integrated Math 7 Geometry -- Solid Geometry and Vector Operations
Extra-curricular Component: Math Challenges Level 7 (MC7)
Contest reference: Advanced level AMC 10, medium level AMC12 and AIME, state and national rounds of MathCounts, medium level HMNT
Intended For: Students who have completed IDEA MATH UC3 course or equivalent.
(As a general reference, students shall have an AIME score close to 8.)
Sample Lectures Integrated Math 7 Algebra Sample Lecture
Math Challenges 7 Algebra Sample Lecture
Math Challenges 7 Counting Sample Lecture
Math Challenges 7 Geometry Sample Lecture
Math Challenges 7 Number Sense Sample Lecture

RCA (only available at LHS site on selected years)

School Enrichment Component: Integrated Math 7 Algebra -- Analytic Method and Vector Operations
Extra-curricular Component: Math Challenges Level 7 (MC7)
Contest reference: Advanced level AMC 10, medium level AMC12 and AIME, state and national rounds of MathCounts, medium level HMNT
Intended For: Students who have completed IDEA MATH UC3 course or equivalent.
(As a general reference, students shall have an AIME score close to 8.)
Sample Lectures Integrated Math 7 Algebra Sample Lecture
Math Challenges 7 Winter Program Salt
Math Challenges 7 Winter Program Pepper

RCX (only available at online program)

School Enrichment Component: Integrated Math 7 Algebra -- Analytic Method and Vector Operations
Integrated Math 7 Geometry -- Solid Geometry and Vector Operations
Extra-curricular Component: Math Challenges Level 7 (MC7)
Contest reference: Advanced level AMC 10, medium level AMC12 and AIME, state and national rounds of MathCounts, medium level HMNT
Intended For: Students who have completed IDEA MATH UC3 course or equivalent.
(As a general reference, students shall have an AIME score close to 8.)
Sample Lectures Integrated Math 7 Algebra Sample Lecture
Math Challenges 7 Algebra Sample Lecture
Math Challenges 7 Counting Sample Lecture
Math Challenges 7 Geometry Sample Lecture
Math Challenges 7 Number Sense Sample Lecture

MO1

Introduction to Math Olympiads Math Olympiads 1
Contest reference: Advanced level AMC10 and AMC12, medium to advanced level AIME and HMNT, intro level HMMT
Intended For: Students who have completed the IDEA MATH UC3 course or equivalent. In general, students will be younger (generally 8th or 9th graders, though this estimate is merely a guideline), who have displayed strong performance in AIME and intend to pursue Math Olympiads during their middle and high school years.
Sample Lectures Math Olympiads 1 Algebra Sample Lecture
Math Olympiads 1 Combinatorics Sample Lecture
Math Olympiads 1 Geometry Sample Lecture
Math Olympiads 1 Number Theory Sample Lecture

MO2

Elements of Math Olympiads Math Olympiads 2
Contest reference: Advanced level AMC10 and AMC12, advanced level AIME and HMNT, medium level HMMT -- optional
Intended For: Students who have completed IDEA MATH MO1 course or equivalent.
As a general reference, students shall have an USAJMO/USAMO index close to USAJMO/USAMO cutoff.
Sample Lectures Math Olympiads 2 Algebra Sample Lecture
Math Olympiads 2 Combinatorics Sample Lecture
Math Olympiads 2 Geometry Sample Lecture
Math Olympiads 2 Number Theory Sample Lecture

MO3

Math Olympiads Math Olympiads 3 and Topics in higher mathematics
Intended For: Students who have completed IDEA MATH MO2 course or equivalent.
As a general reference, students shall have solid performances in USAJMO/USAMO.
Sample Lectures Math Olympiads 3 Algebra Sample Lecture
Math Olympiads 3 Combinatorics Sample Lecture
Math Olympiads 3 Geometry Sample Lecture
Math Olympiads 3 Number Theory Sample Lecture

MO4

Advanced Math Olympiads Math Olympiads 4 and Topics in higher mathematics
Intended For: Students who have completed IDEA MATH MO3 course or equivalent.
Sample Lectures Coming soon.

School Enrichment Courses

                                                         School Extension Components Intended For
 PC0/Pre-Algebra 1 Pre-Algebra based, problem-solving oriented. PC0-Pre-Algebra 1 Sample Lecture Able and interested 4th and 5th graders
  PCA/Pre-Algebra 2 Pre-Algebra based, problem-solving oriented. PCA-Pre-Algebra 2 Sample Lecture Able and interested 5th and 6th graders who have completed IDEA MATH PC0 or equivalent
 Algebra 1 Algebra 1 based, problem-solving oriented
Integrated Math 1 Sample Lecture
Integrated Math 2 Sample Lecture
Able and interested 6th and 7th graders who have completed IDEA MATH PCA or equivalent
 Geometry Algebra 1 based, problem-solving oriented
Integrated Math 3 Geometry Sample Lecture
Integrated Math 4 Geometry Sample Lecture
Able and interested 7th and 8th graders who have completed IDEA MATH PC2 or equivalent
 Algebra 2 Advanced Algebra 1 and Geometry based, problem-solving oriented
Able and interested 8th and 9th graders who have completed IDEA MATH PCX or equivalent
 Pre-Calculus with contest extensions Pre-Calculus and trigonometry based
Integrated Math 5 Algebra Sample Lecture
Integrated Math 5 Geometry Sample Lecture
Integrated Math 6 Algebra Sample Lecture
Integrated Math 6 Geometry Sample Lecture
Able and interested 8th and 9th graders who have completed IDEA MATH UC1 or Algebra 2 or equivalent
 Calculus 1 Calculus AB based and much more
Calculus Sample Lecture 1
Calculus Sample Lecture 2
Able and interested 10th and 11th, graders
 Calculus 2 ACalculus BC based and much more
Able and interested 10th, 11th, 12th graders