Curriculums
At AlphaRoot Academy, the curriculum is thoughtfully crafted to build a strong foundation in mathematics while nurturing a genuine love for problem-solving. Whether learners are just beginning their journey in competition math or preparing for more advanced challenges, our programs offer structured, engaging content tailored to a wide range of experience levels.
We offer differentiated tracks for Upper Elementary and Middle School students, blending essential skills with enrichment topics inspired by major math competitions such as Math Kangaroo, AMC 8, Mathcounts, MOEMS, Noetic Learning, and Math League. Each topic is introduced through interactive instruction, and challenging problems that promote deeper understanding and long-term growth.
SUMMER 2025 CURRICULUMS
This program is designed for rising 4th and 5th grade students who are seeking more challenging content than they typically encounter in their regular math classrooms. It focuses on building a strong problem-solving foundation to prepare students for future math competitions such as AMC 8, MATHCOUNTS, and other national and international contests.
UPPER - ELEMENTARY
Day 1: Patterns with Figures
Students explore geometric patterns involving shapes like dots, triangles, circles, and polygons. They analyze how these patterns grow or repeat by observing changes in quantity, form, and position.
Day 2: Patterns with Numbers
Students examine number sequences and determine the underlying rules, whether additive, subtractive, multiplicative, or geometric. Emphasis is placed on recognizing patterns through neighboring terms and consistent reasoning.
Day 3: Fast Ways – Addition and Subtraction
Students learn efficient strategies such as complement numbers to simplify calculations. They apply the properties of numbers to perform addition and subtraction more quickly and accurately.
Day 4: Fast Ways – Multiplication
Students develop fluency in multiplication through regrouping techniques and the distributive property. The focus is on breaking down complex expressions into simpler, manageable parts.
Day 5: Counting Figures
Students practice a step-by-step approach to counting shapes within composite figures. They apply visual strategies to identify distinct regions and avoid miscounting in layered diagrams.
Day 6: Math Riddles – Addition & Subtraction
Students solve logic-based puzzles that involve multi-step operations. They review essential terminology and use column alignment, regrouping, and strategic thinking to find solutions.
Day 7: Math Riddles – Multiplication & Division
Students strengthen their understanding of multiplication and division through creative riddles. They apply repeated operations and number facts to solve non-routine problems.
Day 8: Magic Squares
Students explore puzzles involving number arrangements where the sums across rows, columns, and diagonals are equal. They investigate the properties of magic squares and triangles while enhancing problem-solving skills.
Day 9: Perimeters
Students calculate perimeter measurements for various shapes, including triangles, rectangles, squares, and trapezoids. They connect geometric concepts to practical applications.
Day 10: Review & Practice Day
Students revisit and reinforce the concepts covered throughout the camp. The day includes targeted review activities, practice problems, and a mini-assessment to celebrate progress and growth.
MIDDLE SCHOOL
Day 1: Tricks in Operations
Students explore fast ways to perform calculations using properties like commutative, associative, and distributive. They develop skills using strategies like grouping, reference numbers, and mental math.
Day 2: Pigeonhole Principle
Students explore how placing items into containers leads to guaranteed outcomes. They develop logical reasoning skills through hands-on visuals and examples involving boxes and apples.
Day 3: Logic
Students learn to identify valid and invalid statements, understand the meaning of negation, and practice forming logical conclusions.
Day 4: Parity
Students learn the difference between even and odd numbers and discover how addition, subtraction, and multiplication affect the parity of results.
Day 5: Operations with Fractions, Decimals, Percents
Students practice converting between forms and apply operations involving fractions, decimals, and percentages through real-world problem-solving.
Day 6: Ratios, Rates, and Proportions
Students explore the relationship between quantities, simplify ratios, solve proportion problems, and connect concepts to percentages and rates.
Day 7: Perimeter and Area
Students learn how to find perimeters and areas of various shapes, including rectangles and triangles. They apply formulas and solve geometry-based word problems.
Day 8: Counting Principles
Students apply systematic methods to count outcomes in multi-step problems. They use charts and logical reasoning to organize and count possibilities.
Day 9: Absolute Value
Students explore the meaning of distance from zero on a number line. They compare and evaluate expressions involving absolute values.
Day 10: Review and Practice Test
Students revisit and reinforce the concepts covered throughout the camp. The day includes targeted review activities, practice problems, and a mini-assessment to celebrate progress and growth.
This program is designed for rising 6th to 8th grade students who are ready to engage with advanced problem-solving strategies beyond the standard school curriculum. It aims to strengthen critical thinking and mathematical reasoning skills, preparing students for competitions such as AMC 8, MATHCOUNTS, Mathleague.org contests, and other prestigious math challenges.
FALL 2025
CURRICULUMS
UPPER - ELEMENTARY
COMING SOON
MIDDLE SCHOOL
COMING SOON