Mathematics

Students will extend their knowledge of numbers as they solve problems using whole numbers, decimals, and fractions. They will also study factorization and exponents.

Essential Questions:

• Why is it important to be able to use whole numbers, fractions, and decimals to solve problems?

• How can you use visualization and estimation to solve problems?

Students will study negative numbers, and learn to add, subtract, multiply and divide them. They will graph positive and negative numbers on number lines and on the coordinate plane.

Essential Questions:

• How can integers be represented visually and how can operations with integers be represented with models?

• How are positive and negative numbers used in real-world situations?

Students will use variables to write expressions and equations. They will solve and graph equations and inequalities.

Essential Questions:

• Why are tables, graphs, and equations useful for representing relationships?

• How can you use equations to solve real-world problems?

Students will study ratios, rates, proportions, and percents as they explore applications and use them to solve problems.

Essential Questions:

• Why is it important to understand calculations with ratios, rates, and percents?

• Why are proportional relationships important in mathematics?

Students will extend their study of polygons as they investigate properties of triangles and quadrilaterals. They will study area, surface area, and volume of two- and three-dimensional figures.

Essential Questions:

• In what ways are geometric figures used in real life?

• Why is it important to understand the characteristics of two- and three-dimensional figures?

Students will collect data and explore different ways to summarize data and display results as they participate in surveys that involve classmates.

Essential Questions:

• How is data organized and presented in real-world situations?

• What are ways you can summarize data both numerically and graphically?