School Year Begins
Week 1 (9/5-9/11, Algebra)
Lecture on 9/11, Sunday. Topic(s): word problems; number sense; remainders
AoPS/Mathcounts Minis #19, #55, #82, and #14; YouTube Mini videos #19, #55, #82, and #14; and corresponding solutions #19, #55, #82, and #14.
Week 2 (9/12-9/18, Algebra)
Lecture on 9/18, Sunday. Topic(s): speed problems; rate and ratio; symmetry in equations.
AoPS/Mathcounts Minis #28, #37, #59, and #65; YouTube Mini videos #28, #37, #59, and #65; and corresponding solutions #28, #37, #59, and #65.
Week 3 (9/19-9/25, Geometry)
Lecture on 9/25, Sunday. Topic(s): right triangles; 30-60-90 right triangles
AoPS/Mathcounts Minis #22, #88, and #95; YouTube Mini videos #22, #88, and #95; and corresponding solutions #22, #88, and #95.
Week 4 (9/26-10/2, Combinatorics)
Lecture on 10/2, Sunday. Topic(s): casework in counting
AoPS/Mathcounts Minis #62, #69 and #77; YouTube Mini videos #62, #69 and #77; and corresponding solutions #62, #69 and #77.
Week 5 (10/3-10/9, Algebra)
Lecture on 10/9, Sunday. Topic(s): arithmetic and geometric sequences
AoPS/Mathcounts Minis #3, #12, #25, and #29; YouTube Mini videos #3, #12, #25, and #29; and corresponding solutions #3, #12, #25, and #29.
Week 6 (10/10-10/16, Algebra)
Lecture on 10/16, Sunday. Topic(s): number sense and algebra; algebra strategies
AoPS/Mathcounts Minis #32, #51, and #61; YouTube Mini videos #32, #51, and #61; and corresponding solutions #32, #51, and #61.
Week 7 (10/17-10/23, Geometry)
Lecture on 10/23, Sunday. Topic(s): auxiliary lines; areas and volumes
AoPS/Mathcounts Minis #8, #16, and #18; YouTube Mini videos #8, #16, and #18; and corresponding solutions #8, #16, and #18.
Week 8 (10/24-10/30, Combinatorics)
Lecture on 10/30, Sunday. Topic(s): constructive counting
AoPS/Mathcounts Minis #31, #33, and #42; YouTube Mini videos #31, #33, and #42; and corresponding solutions #31, #33, and #42.
Week 9 (10/31-11/6, Algebra)
Lecture on 11/6, Sunday. Topic(s): equation manipulation; square of binomials; repeating decimals and radical expressions; polynomials
AoPS/Mathcounts Minis #4, #10, and #53; YouTube Mini videos #4(1), #4 (2), #10, and #53; and corresponding solutions #4, #10, and #53.
Week 10 (11/7-11/13, Number Theory / Algebra)
Lecture on 11/13, Sunday. Topic(s): squares; difference of squares
AoPS/Mathcounts Minis #20, #24, and #44; YouTube Mini videos #20, #24, and #44; and corresponding solutions #20, #24, and #44.
Week 11 (11/14-11/20, Geometry)
Lecture on 11/20, Sunday. Topic(s): similar triangles and proportional reasoning
AoPS/Mathcounts Minis #30, #35, #43, and #54; YouTube Mini videos #30, #35, #43, and #54; and corresponding solutions #30, #35, #43, and #54.
Thanksgiving Break (11/21-11/27)
Have a great Thanksgiving week, everyone!
Week 12 (11/28-12/4, Combinatorics)
Lecture on 12/4, Sunday. Topic(s): paths on a grid; number of subsets of a set
AoPS/Mathcounts Minis #7, #13, and #85; YouTube Mini videos #7, #13, and #85; and corresponding solutions #7, #13, and #85.
Week 13 (12/5-12/11, Algebra)
Lecture on 12/11, Sunday. Topic(s): sequences; series; patterns
AoPS/Mathcounts Minis #46, #83, and #89; YouTube Mini videos #46, #83, and #89; and corresponding solutions #46, #83, and #89.
Week 14 (12/12-12/18, Geometry)
Lecture on 12/18, Sunday. Topic(s): circles, areas, and volumes
AoPS/Mathcounts Minis #27, #39, and #47; YouTube Mini videos #27, #39, and #47; and corresponding solutions #27, #39, and #47.
Christmas Break (12/19-1/8)
Week 15 (1/9-1/15, Geometry)
Lecture on 1/15, Sunday. Topic(s): tangent segments and similar triangles; circles and right triangles
AoPS/Mathcounts Minis #11, #34, #52, and #80; YouTube Mini videos #11, #34, #52, and #80; and corresponding solutions #11, #34, #52, and #80.
Week 16 (1/16-1/22, Combinatorics)
Lecture on 1/22, Sunday. Topic(s): probabilities in dice-rolling; Pascal's Triangle; counting strategies
AoPS/Mathcounts Minis #1, #36, and #60; YouTube Mini videos #1(1), #1(2), #36, and #60; and corresponding solutions #1, #36, and #60.
Week 17 (1/23-1/29, Algebra)
Lecture on 1/29, Sunday. Topic(s): factorials; bases; powers
AoPS/Mathcounts Minis #49, #79, and #91; YouTube Mini videos #49, #79, and #91; and corresponding solutions #49, #79, and #91.
Week 18 (1/30-2/5, Algebra)
Lecture on 2/5, Sunday. Topic(s): perfect squares; difference of squares
AoPS/Mathcounts Minis #5, #23, and #96; YouTube Mini videos #5, #23, #96, and #100; and corresponding solutions #5, #23, and #96.
Week 19 (2/6-2/12, Combinatorics)
Lecture on 2/12, Sunday. Topic(s): counting methods; number of arrangements; counting rectangles in a grid; counting possibilities
AoPS/Mathcounts Minis #2, #21, and #50; YouTube Mini videos #2, #21, and #50; and corresponding solutions #2, #21, and #50.
Week 20 (2/13-2/19, Geometry)
Lecture on 2/19, Sunday. Topic(s): composed/decomposed area/volume; triangles; similarity and proportional reasoning; trapezoids.
AoPS/Mathcounts Minis #58, #63, #66, and #84; YouTube Mini videos #58, #63, #66, and #84; and corresponding solutions #58, #63, #66, and #84.
Week 21 (2/20-2/26, Algebra)
Lecture on 2/26, Sunday. Topic(s): quadratic and complex equations
AoPS/Mathcounts Minis #38, #68, and #81; YouTube Mini videos #38, #68, and #81; and corresponding solutions #38, #68, and #81.
Week 22 (2/27-3/5, Problem Solving)
Lecture on 3/5, Sunday. Topic(s): searching for patterns
AoPS/Mathcounts Minis #9, #57, and #71; YouTube Mini videos #9(1), #9(2), #57, and #71; and corresponding solutions #9, #57, and #71.
Week 23 (3/6-3/12, Combinatorics)
Lecture on 3/12, Sunday. Topic(s): geometric methods for probabilities; probability problem solving
AoPS/Mathcounts Minis #15, #87, and #92; YouTube Mini videos #15, #87, and #92; and corresponding solutions #15, #87, and #92.
Week 24 (3/13-3/19, Analytic Geometry)
Lecture on 3/19, Sunday. Topic(s): analytic geometry
AoPS/Mathcounts Minis #41, #78, and #90; YouTube Mini videos #41, #78, and #90; and corresponding solutions #41, #78, and #90.
Spring Break (3/20-4/2)
Week 25 (4/3-4/9, Problem Solving)
Lecture on 4/9, Sunday. Topic(s): drawing a picture; making a sketch; more than one method
AoPS/Mathcounts Minis #6, #64, #76, and #94; YouTube Mini videos #6, #64, #76, and #94; and corresponding solutions #6 (unavailable), #64, #76, and #94.
Week 26 (4/10-4/16, Algebra)
Lecture on 4/16, Sunday. Topic(s): sequences; series; patterns
AoPS/Mathcounts Minis #70, #74, and #98; YouTube Mini videos #70, #74, and #98; and corresponding solutions #70, #74, and #98.
Week 27 (4/17-4/23, Combinatorics)
Lecture on 4/23, Sunday. Topic(s): probability and counting; conditional probability
AoPS/Mathcounts Minis #26, #48, and #99; YouTube Mini videos #26, #48, and #99; and corresponding solutions #26, #48, and #99.
Week 28 (4/24-4/30, Problem Solving)
Lecture on 4/30, Sunday. Topic(s): optimization; strategic guessing & checking; more than one method; non-standard operators in algebraic expressions
AoPS/Mathcounts Minis #67, #73, #75, and #86; YouTube Mini videos #67, #73, #75, and #86; and corresponding solutions #67, #73, #75, and #86.
Week 29 (5/1-5/7, Geometry)
Lecture on 5/7, Sunday. Topic(s): inscribed rectangle in triangle; 3D-geometry.
AoPS/Mathcounts Minis #45, #72, and #97; YouTube Mini videos #45, #72, and #97; and corresponding solutions #45, #72, and #97.
Week 30 (5/8-5/14, Algebra)
Lecture on 5/14, Sunday. Topic(s): arithmetic sequences; sequences and central tendency
AoPS/Mathcounts Minis #17, #40, #56, and #93; YouTube Mini videos #17, #40, #56, and #93; and corresponding solutions #17, #40, #56, and #93.