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/Math Roots, PCA/Math Buds
PC1, PC2, PCX
UC1, UC2, UC3
RC1, MO1, MO2, MO3, MO4
preAlgebra 1, preAlgebra 2
Integrated Math 1, Integrated Math 2, Integrated Math 3, Integrated Math 4
Introduction to Calculus, Calculus

Extra-Curricular Courses


PC0/Math Roots
School Enrichment Component: Pre-Algebra (part 1) Check Syllabus
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/Math Buds

School Enrichment Component: Pre-Algebra (part 2) Check Syllabus
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

School Enrichment Component: Integrated Math 1 (part 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 part 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

School Enrichment Component: Integrated Math 1 (part 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 1 part 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

School Enrichment Component: Integrated Math 2 (part 1)
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 2 Algebra (Part 1) Sample Lecture
Integrated Math 2 Geometry (Part 1) 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 2 (part 2)
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 2 Algebra (Part 2) Sample Lecture
Integrated Math 2 Geometry (Part 2) 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 3 (part 1)
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 3 Algebra Part 1 Sample Lecture
Integrated Math 3 Geometry Part 1 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 3 (part 2)
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 close to 6.)
Sample Lectures Integrated Math 3 Algebra Part 2 Sample Lecture
Integrated Math 3 Geometry Part 2 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 4 Part 1 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
 Pre-Algebra (part 1) Pre-Algebra based, problem-solving oriented. Check Syllabus Able and interested 4th and 5th graders
 Pre-Algebra (part 2) Pre-Algebra based, problem-solving oriented. Check Syllabus Able and interested 5th and 6th graders
 Integrated Math 1 (part 1) Algebra 1 based, problem-solving oriented
Integrated Math 1 part 1 Sample Lecture
Able and interested 6th and 7th graders
 Integrated Math 1 (part 2) Algebra 1 based, problem-solving oriented
Integrated Math 1 part 2 Sample Lecture
Able and interested 6th and 7th graders
 Integrated Math 2 (part 1) Advanced Algebra 1 and Geometry based, problem-solving oriented
Integrated Math 2 Algebra (Part 1) Sample Lecture
Integrated Math 2 Geometry (Part 1) Sample Lecture
Able and interested 7th and 8th graders
 Integrated Math 2 (part 2) Intro Algebra 2 and Geometry based
Integrated Math 2 Algebra (Part 2) Sample Lecture
Integrated Math 2 Geometry (Part 2) Sample Lecture
Able and interested 7th and 8th graders
 Integrated Math 3 (part 1) Geometry and Trigonometry based
Integrated Math 3 Algebra Part 1 Sample Lecture
Integrated Math 3 Geometry Part 1 Sample Lecture
Able and interested 8th and 9th graders
 Integrated Math 3 (part 2) Advanced Algebra 2 and Trigonometry, and Analytic geometry (include parametric equations/vectors/3-D geometry) based
Integrated Math 3 Algebra Part 2 Sample Lecture
Integrated Math 3 Geometry Part 2 Sample Lecture
Able and interested 8th and 9th graders
 Integrated Math 4 (part 1) Pre-Calculus based (including 3-D geometry, analytic transformations, matrix and vector operations)
Integrated Math 4 Part 1 Sample Lecture
Able and interested 9th and 10th graders
 Integrated Math 4 (part 2) Pre-Calculus based (including 3-D geometry, analytic transformations, matrix and vector operations) Able and interested 9th and 10th graders
 Introduction to Calculus Advanced Pre-Calculus, function properties, limits and derivatives Able and interested 9th, 10th and 11th graders (a placement test is required)
 Calculus (part 1) Calculus AB based and much more Able and interested 10th and 11th graders
 Calculus (part 2) Calculus AB based and much more Able and interested 10th and 11th graders
 Calculus (part 3) Calculus BC based and much more Able and interested 10th, 11th, 12th graders
 Calculus (part 4) Calculus BC based and much more Able and interested 10th, 11th, 12th graders