How to learn Grade 6: Mathematics

Missouri academic standards: Mathematics, Grade 6

0 of 13 concepts ready to learn · Markdown, for your AI

1. Data, Statistics and Probability · Summarize and describe distributions.

1. Comparing measurements: Describe, interpret, and compare distributions of a single variable using appropriate measures of central tendency (mean, median, mode) and spread (range), including the effect of outliers

2. Data, Statistics and Probability · Develop understanding of statistical variability.

1. Statistical Analysis Vocabulary: Read, write, and use the vocabulary of statistical analysis — mean, median, mode, range, frequency, data, sample, average, chart, table, graph, pie chart, scatter graph, correlation — with understanding of what each term describes

3. Geometry and Measurement · Solve problems involving area, surface area and volume.

1. Plotting points in the first quadrant: Plot and read ordered pairs in the first quadrant of the coordinate plane; represent real-world and mathematical problems by graphing points and interpreting coordinate values in context
2. Translating and reflecting shapes: Draw and translate simple shapes on the coordinate plane; reflect shapes in the axes

4. Expressions, Equations and Inequalities · Represent and analyze quantitative relationships between dependent and independent variables.

1. Expressions & Equations Vocabulary: Understand and use the concepts and vocabulary of expressions, equations, inequalities, terms, and factors; distinguish between an expression (no equals sign), an equation (equals sign), and an inequality (inequality sign)

5. Expressions, Equations and Inequalities · Reason about and solve one-variable equations and inequalities.

1. Numbers on a number line: Understand inequalities as statements comparing expressions, represent solutions on a number line, and solve simple linear inequalities using the same inverse-operation methods as equations

6. Number Sense and Operations · Apply and extend previous understandings of numbers to the system of rational numbers.

1. Number Sets & Infinity: Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational and irrational numbers
2. Positive and Negative Numbers: Understand positive and negative numbers as describing quantities with opposite directions or values; use them in context such as temperature, floors in a building, and bank balances
3. Numbers on a number line: Understand the absolute value of a rational number as its distance from zero on the number line; interpret absolute value as magnitude in real-world contexts; distinguish absolute value comparisons from ordering statements

7. Number Sense and Operations · Compute with non-negative multi-digit numbers, and find common factors and multiples.

1. Sign Rules for Multiplication: Multiply and divide with positive and negative integers and rational numbers, understanding the rules for the sign of the product or quotient

8. Number Sense and Operations · Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

1. Dividing fractions (unit fractions): Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between multiplication and division to explain the result

9. Ratios and Proportional Relationships · Understand and use ratios to solve problems.

1. Ratio Notation: Use ratio notation to describe the relationship between two or more quantities, simplify ratios to their simplest form, and convert between ratio and fraction representations
2. Ratio Notation and Relationships: Understand that a multiplicative relationship between two quantities can be expressed as a ratio; use ratio notation; simplify ratios