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.

Extra-Curricular Courses

PC0/Pre-Algebra 1
School Enrichment
Component:
Pre-Algebra 1
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 Check Syllabus
PCA/Pre-Algebra 2
School Enrichment
Component:
Pre-Algebra 2
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 Check Syllabus
PC1 (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 (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 Topic Sample Lecture
Math Challenges 2 Counting Topic Sample Lecture
Math Challenges 2 Geometry Topic Sample Lecture
Math Challenges 2 Number Sense Topic Sample Lecture
PCX (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 close to 90.)
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
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 close to 105.)
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
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 close to 120.)
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
School Enrichment
Component:
Integrated Math 6:
Advanced Algebra 2 and Geometry and Trigonometry based.
Extra-curricular
Component:
Math Challenges Level 6 (MC5):
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 close to 6.)
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 4 (part 1):
Analytic Method in Geometry.
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 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
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 IDEA MATH MO1 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
Introduction to
Math Olympiads
Math Olympiads 2:
Contest reference: Advanced level AMC10 and AMC12, medium to 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
Introduction to
Math Olympiads
Math Olympiads 3:
Contest reference: Advanced level AMC10 and AMC12, advanced level AIME and HMNT,
medium level HMMT -- optional
Intended For: Students who have completed IDEA MATH MO2 course or equivalent.
As a general reference, students shall have solid performances in USAJMO/USAMO./td>
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
Introduction to
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
Pre-Algebra 1 Pre-Algebra based, problem-solving oriented.
Check Syllabus
Able and interested 4th and 5th graders
Pre-Algebra 2 Algebra 1 based, problem-solving oriented. Check Syllabus Able and interested 5th and 6th graders
Algebra Algebra 1 based, problem-solving oriented
Integrated Math 1 Sample Lecture
Integrated Math 2 Sample Lecture
Able and interested 6th and 7th graders
Geometry Advanced Algebra 1 and Geometry based, problem-solving oriented
Integrated Math 3 Geometry Sample Lecture
Integrated Math 4 Geometry Sample Lecture
Able and interested 6th and 7th graders
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 extension 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 Calculus AB based and much more Able and interested 10th and 11th graders