Summary of Skills

Age 10-12 - Concept 5: Math

Unit 1: Operations with Whole Numbers and Decimals

Math

  • Express natural numbers as factors.
  • Find common multiples of two whole numbers.
  • Find the greatest common factor of two whole numbers less than or equal to 100
  • Find the least common multiple and greatest common factor of two given whole numbers.
  • Find the least common multiple of two whole numbers.
  • Find the prime factorization of composite numbers.
  • Fluently add and subtract multi-digit decimals using the standard algorithm for each operation.
  • Fluently multiply and divide multi-digit decimals using the standard algorithm for each operation.
  • Identify multiples of whole numbers.
  • Use exponential notation to solve problems.
  • Use standard algorithms to add, subtract, multiply, and divide multi-digit decimal numbers.
  • Use the distributive property of multiplication to correctly factor algebraic expressions
  • Use the distributive property of multiplication to correctly factor numerical expressions
  • Use the distributive property of multiplication to correctly multiply and factor numerical and algebraic expressions
  • Use the distributive property of multiplication to correctly multiply expressions
  • Use the distributive property of multiplication to multiply and factor expressions.
  • Write and evaluate numerical expressions involving whole-number exponents.

Unit 2: Integers and Rational Numbers

Math

  • Apply an understanding of the coordinate plane to understand and solve problems
  • Draw polygons in the coordinate plane and calculate simple lengths and distances.
  • Plot rational numbers on number lines
  • Understand and solve problems involving inequalities
  • Understand and solve problems involving ordering and absolute value of rational numbers
  • Use positive and negative numbers and number lines to describe real-world situations
  • Use the coordinate plane to plot coordinates, draw simple figures, and calculate simple distances.

Unit 3: Ratios, Proportions, and Percents

Math

  • Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity);
  • Find the whole, given a part and the percent; find the part, given the whole and the percent; find the percent, given the whole and a part.
  • Manipulate and transform units appropriately when multiplying or dividing quantities.
  • Perform conversions between different types of measurement units.
  • Solve real-world and mathematical problems involving percents.
  • Understand and describe ratios.
  • Understand and describe unit rates.
  • Use ratio and rate reasoning to solve real-world and mathematical problems.
  • Use ratio and rate reasoning, along with tables, tape diagrams, double number lines, and graphs, to solve real-world and mathematical problems.

Unit 4: Algebraic Expressions

Unit 5: Simple Equations and Inequalities

Unit 6: Geometry

Unit 7: Angles, Area, and Volume

Unit 8: Introduction to Statistics