Grade 6 math goals focus on developing a strong foundation in number operations, fractions, decimals, ratios, algebraic thinking, geometry, and data analysis. Here are the key learning objectives for sixth graders:
1. Number Sense & Operations
- Fluently add, subtract, multiply, and divide multi-digit whole numbers, fractions, and decimals.
- Understand and apply factors, multiples, prime factorization, and greatest common factor (GCF).
- Use the least common multiple (LCM) to solve fraction problems.
2. Ratios, Rates, & Proportional Reasoning
- Understand and use ratios to describe relationships between two quantities.
- Solve problems using unit rates (e.g., miles per hour, price per item).
- Use tables, graphs, and equations to represent proportional relationships.
3. Fractions, Decimals, & Percents
- Convert between fractions, decimals, and percentages.
- Solve real-world problems involving percentages (e.g., discounts, tax, tips). This is also called consumer math problems.
4. Algebraic Thinking & Equations
- Write, simplify, and evaluate algebraic expressions with variables.
- Use properties of operations (distributive, associative, commutative) to simplify expressions.
- Solve one-step equations and inequalities.
5. Geometry & Measurement
- Find the area, perimeter, and volume of rectangles, triangles, and irregular shapes.
- Understand and use coordinate planes, including negative numbers.
- Identify and measure angles, including complementary and supplementary angles.
6. Data, Statistics, & Probability
- Represent and interpret data using graphs, histograms, and box plots.
- Calculate measures of central tendency (mean, median, mode, range).
- Understand basic probability concepts and determine the probability of simple events.