Summer Mathematics ONLINE
A standardized test (SAT, ACT, NWEA, CogAT, etc.) score in the 90th percentile, a submitted math teacher recommendation, and a current grade report.
Applications accepted April 20-May 30 or until filled
GATE Summer Mathematics ONLINE provides classroom instruction for qualified gifted students looking to complete accelerated math instruction in a shorter time beginning the week of June 1, 2020 and ending the week of August 1, 2020. In this period, students will work to complete Algebra 1, Algebra 2 or Geometry with LIVE online classes conducted by MSU GATE Mathematics instructor(s). Students are required to attend two, 2-hour math classes each week with additional tutoring labs available. Students will receive LIVE online instruction during the week with additional time for tutoring during the labs to work through their questions and concepts. The GATE Program Handbook will be emailed to all accepted families prior to June 1.
Midterm progress reports and final reports cards with letter grades will be issued in accordance with the MSU GATE grading scale. Grade reports will be sent directly to parents. Parents may request an official transcript from MSU GATE to be sent directly to their child’s home school.
GATE MSU Academic Programs are conducted as an opportunity for students to gain high school level credit. GATE mathematics classes are designed to align with Michigan HSCE requirements as well as Common Core. Parents are responsible to communicate with their child’s school before applying to any academic program to address the question of issuing credit and placement of their student in their class curriculum and/or schedule. GATE does not guarantee any credit acceptance with any school or district. The GATE Summer Mathematics students are not able to opt into a MSU CHAMP program using any credit obtained from any GATE Summer Mathematics class. GATE Summer Mathematics class cannot be used as a substitute for any class in the MSU CHAMP program.
May 27th - Orientation
Classes begin week of June 1
Classes end week of August 1
Sample First Week Schedule
Monday, June 1 4:30-6:30p.m. Algebra I
Tuesday, June 2 4:30-6:30p.m. Geometry
Wednesday, June 3 4:30-6:30p.m. Algebra I
Thursday, June 4 4:30-6:30p.m. Geometry
Friday, June 5 4:30-6:30p.m. Algebra 2
Sunday, June 6 4:30-6:30p.m. Algebra 2
Wednesday, 7p.m.-9p.m. GATE tutoring
**Students will be in one class (Algebra 1 , Algebra 2, Geometry) for the summer.
Cost: $495 (no discounts may be applied)
****Due to the reduced cost of this program, we will not be honoring any prior discounts.
Refund and Payments: Full tuition payments are required within 14 days of acceptance into the GATE Summer Mathematics ONLINE program. Students may withdrawal from the program up until May 15th for a full refund. After May 15th class decisions will be made and no refunds will be available after May 15th. Late registration acceptances will be required to pay tuition in full upon acceptance and no withdrawals and no refunds will be issued after May 15th. All tuition payments must be paid before first class session (week of June 1).
|Operating System||Web Browser||Screen Resolution|
|Windows 10||Microsoft Edge or Internet Explorer 11||Minimum: 1024 X 768|
Microsoft Internet Explorer 11
|Minimum: 1024 X 768|
Microsoft Internet Explorer 11
|Minimum: 1024 X 768|
|Mac OS X 10.9 Mavericks or higher||
|iPad 4 or higher||iOS 9 and up|
** Chromebooks are not recommended for these programs due to using Zoom.
➢ TI-83+ Graphing Calculator (only for Algebra II)
➢ RAM: 4 GB RAM or more is recommended for optimal performance
➢ Turn off automatic updates during the program.
➢ Recommended bandwidth is (300 kbps).
➢ Optional equipment: Computer headset example (or similar model)
All students are required to purchase their textbook. If this causes a financial hardship, contact email@example.com.
Algebra 1 Textbook - Algebra I: Expressions, Equations, and Applications by Paul A. Foerster
Algebra 2 Textbook - Algebra and Trigonometry: Functions and Applications by Paul A. Foerster
Geometry Textbook - Geometry for Enjoyment and Challenge by Richard Rhoad
Important Class Details
Algebra 1 - This course emphasize basic algebraic concepts and skills, as well as higher level reasoning involving problem solving and proof.
- Polynomials: terminology, evaluation, algebraic combinations, degree, long division
- Factoring: prime and common factors, difference of squares, quadratic trinomials, factoring by grouping
- Rational expressions: dividing by monomials, simplifying by factoring, algebraic combinations, least common multiples, combinations of rational expressions
- Linear equations: roots, literal equations, solutions of equations with rational expressions, story problems
- Linear inequalities
- Graphs and the Cartesian coordinate system
- Positive integral exponents and roots
- Graphs of linear functions
- Functions: notation, evaluation, inverse of functions
- Lines: slope, various forms for equations of lines, parallel and perpendicular lines
- Variation: direct, inverse, joint
- Quadratic equations: solutions by factoring, completing the square, the quadratic formula
- Story problems involving linear and quadratic equations
Algebra 2 - This course covers algebraic and trigonometric concepts intended to prepare students for a high school level pre-calculus course.
- Factoring of sums and differences of cubes
- Exponents: zero, negative exponents, laws of exponents, rational exponents, exponential growth and decay
- Radicals: rules, notation, combinations, rationalizing the denominator
- Complex numbers
- Logarithms: definition, properties, antilogs, computations
- Quadratic equations: solutions by factoring, quadratic formula, character of solutions, equations involving “disguised quadratics”
- Inequalities: solutions, graphing linear and quadratic inequalities
- Simultaneous equations: solutions by graphing, elimination, and substitution; linear programming in two variables
- Simultaneous inequalities: solutions by graphing
- Direct and inverse variation
- Conic sections in simple positions: basic features of graphs of circles, parabolas, ellipses and hyperbolas, algebraic solutions of quadratic systems, translation of axes
- Polynomial and rational functions: remainder theorem, factor theorem, synthetic division, fundamental theorem of algebra, factors and zeros, Descartes rule of signs, rational solutions of polynomial equations
- Graphs of rational functions: intercepts, asymptotes, symmetry, asymptotic behavior
- Binomial theorem
- Sequences and series: arithmetic and geometric sequences, infinite geometric series, summation notation, sums of arithmetic and geometric series
- Matrices: determinants and inverses of 2 x 2 and 3 x 3 matrices; Cramer’s rule
- Problem solving in an algebraic setting
- A brief introduction to trigonometry: sines, cosines, and tangents; solutions to right triangles
Geometry - This course covers geometry with emphasis on logical structure using proof and problem solving.
- Introduction to mathematical logic: undefined terms, definitions, postulates, theorems
- Methods of proof: direct proof, indirect proof
- Points, lines, planes, length, angle measurement, perpendicularity
- Parallel lines, parallel postulate Angle measures in triangles and polygons
- Triangle congruence postulates and theorems: SAS, ASA, SSS, SAA
- Right triangles: the Pythagorean theorem, the hypotenuse-leg theorem
- Similarity of triangles and polygons
- Area and perimeter of triangles, polygons, and circles
- Circles: chords, angle measurement for central and inscribed angles
- Medians of a triangle, incenter, circumcenter, concurrence theorems for the medians, angle bisectors, and perpendicular bisectors of sides
- Inequalities in geometry
- Coordinate geometry in the plane and space
- Transformations in the plane: reflections, translations, rotations, rigid motions, similarity transformations
- Informal geometry in space: skew lines, parallel planes, perpendiculars to planes, dihedral angles, volume and surface areas, prisms, pyramids, spheres, cones, cylinders
Credit Class: GATE MSU Academic Programs are conducted as an opportunity for students to gain high school level credit. GATE mathematics classes are designed to align with Michigan HSCE requirements as well as Common Core. Parents are responsible to communicate with their child’s school before applying to any academic program to address the question of issuing credit and placement of their student in their class curriculum and/or schedule. The GATE Summer Mathematics students are not able to opt into a MSU CHAMP program using any credit obtained from any GATE Summer Mathematics class cannot be used as a substitute for any class in the MSU CHAMP program.
Please note that how the school records your credit/grade for GATE programs is completely up to each individual school. We recommend asking your school how they will record the grade before your student begins the program.
GATE does not guarantee any credit acceptance for any programs, it is the responsibility of the student/family to determine this prior to the start of any program.