# 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.