Math

• Understanding ratio concepts and use ratio reasoning to solve problems.

• Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
• Compute fluently with multi-digit numbers and find common factors and multiples.
• Apply and extend previous understandings of numbers to the system of rational numbers.

• Apply and extend previous understandings of arithmetic to algebraic expressions.
• Reason about and solve one-variable equations and inequalities.
• Represent and analyze quantitative relationships between dependent and independent variables.

• Solve real-world and mathematical problems involving area, surface area, and volume.

• Develop understanding of statistical variability.
• Summarize and describe distributions.

• Analyze proportional relationships and use them to solve real-world and mathematical problems.

Apply and extend previous understanding of operations with fractions to add, subtract, multiply, and divide rational numbers.

• Use properties to generate equivalent expressions.

• Draw, construct and describe geometrical figures and describe the relationship between them.
• Solve real-world and mathematical problems involving angle measure, area, surface area, and volume.

• Use random sampling to draw inferences about a population.
• Draw informal comparative inferences about two populations.
• Investigate chance processes and develop, use, and evaluate probability models.

• Know that there are numbers that are not rational, and approximate them by rational numbers.

• Work with radicals and integer exponents.
• Understand the connections between proportional relationships, lines, and linear equations.

• Define, evaluate, and compare functions.
• Use functions to model relationships between quantities.

• Understand congruence and similarity using physical models, transparencies, or geometry software.
• Understand and apply the Pythagorean Theorem.
• Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

• Investigate patterns of association in bivariate data.