Students are expected to know the concepts we cover in Math Problem Solving 1. We will review these topics in the first 2-3 weeks. We will also provide material for students to practice themselves.

Geometry: Perimeter and Area of 2D shapes like triangles, quadrilaterals, squares, rectangles, understanding and measuring angles, parallel and perpendicular
Arithmetic: Advanced addition, subtraction, multiplication and division,
distributive property, the order of operations, Integers Basics, Decimals Basics
Number Theory: Exponents, Understanding of perfect squares and basic exponents,
computing powers, Basic factoring, prime numbers, divisibility tests
Algebra: Variables- What is “n” and simple equations, simplifying equations, fractions

Core Concepts: Review, Multiplying & Dividing integers, Exponents

Enrichment: Longer products, Opposites, Dividing with Exponents, Challenge Problems

Core Concepts: Reviewing Equations, Division as a Traction, Like terms, Simplifying Expressions, Inverse Operations

ENRICHMENT​: Mystery Operations, Multi-step Equations, Perimeter and Area, Consecutive Numbers and Challenging Word Problems

Core Concepts: Review of Exponents, Multiplying Powers, Dividing Powers, Same Exponents, Zero and Negative, Power to a Power

Enrichment​: Scientific Notation, Equations, WMOC, Challenge Problems

Core Concepts​: Counting, Inclusive/Exclusive, Choices, Possibilities

Enrichment​: Geometric Arrangements, Venn Diagram, Word Problems, Tree Diagram, Arrangements, Using Factorials,
Counting Pairs, Complementary Counting

Core Concepts: Chance, Counting Review, Computing Probability, Coins and Dice, Coin Flips, Dice Rolls

Enrichment​: Geometric Probability, Independent and Dependent, Counting,
Complements, Games of Chance, Math Relays, Challenge Problems

Core Concepts​: Understanding Sequences, Number Sequences, What Comes Next?

Enrichment​: Arithmetic Series, Arithmetic sequences, Fibonacci sequence

Core Concepts​: Factors Review, Divisibility, GCF, LCM

Enrichment​: GCF & LCM with Word Problems, Perfect Squares, The Euclidean Algorithm, Venn Diagrams, Factorials, Counting Factors, Relatively Prime

Core Concepts​: Fractions Review, Addition & subtraction, Mixed, Simplify First, Multiplication and Division in Fractions

Enrichment​: Reciprocal Review, Egyptian Fractions, Challenge Problems

Core Concepts​: Understanding Ratios, Whole amount, Proportions, Rates, Ratio Problems, Using ratios, Equivalent ratios, Speed

Enrichment​: Ratios in Geometry, Multi-part ratios, Teamwork, Conversions

Core Concepts​​: Review, Tens & Tenths, Multiplying decimals,

Enrichment​: Estimations, Conversions, Repeating Decimals, Conversion Strategies, Dividing Decimals

Core Concepts​: Percents & Fractions, Percents & Decimals, Proportions, Percentage of a Number, Equations

Enrichment​: Percent Strategies, Estimation, Percent Change, Challenges

Core Concepts​: Understanding Square Roots, Cubes and Cube Roots

Enrichment​: Estimation, Comparing, Tricky Square Roots, Fractions, Pythagorean Theorem, Squares & Rectangles, Length
& Distance, Challenge Problems

Core Concepts​: Review of Polygons, Area and Perimeter review, 3D Solids

Enrichment​: Volume and Surface Area, Platonic Solids, Painted Cubes and Challenges