Sixth Grade Mathematics
In Sixth Grade, students will use a variety of ways to express their learning related to the Common Core State Standards.
Integers and Rational Numbers
Students will apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Students will also solve multistep real-world and mathematical problems with positive and negative rational numbers.
Equations
Students will apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Students will also use variables to represent quantities and construct simple equations to solve problems.
Inequalities
Students will extend their understanding of the inverse relationship of operations to solve inequalities. Students will use variables to write expressions and solve real-world and mathematical problems by graphing, writing and solving inequalities. Students will also develop a more complete understanding of variables and expressions as they begin to see patterns in the structure of inequalities.
Ratios, Rates and Proportions
Students will compute unit rates associated with ratios of fractions. Students will also recognize and represent proportional relationships between quantities and solve problems involving scale drawings of geometric figures.
Percents
Students will convert between forms of rational numbers and use proportional relationships to solve multistep ratio and percent problems.
Geometry and Area
Students will draw, construct, and describe geometrical figures and describe the relationships between them. Students will also solve real-life and mathematical problems involving angle measure and area.
Surface Area and Volume
Students will solve real-world and mathematical problems involving volume and surface area of three-dimensional objects. Students will also describe the two-dimensional figures that result from slicing three-dimensional figures.
Analyzing Data
Students will use random sampling to draw inferences about a population. Students will also draw informal comparative inferences about two populations and understand the effect sampling has on data collection.
Probability
Students will investigate chance processes and develop, use and evaluate probability models. Students will also compare theoretical probabilities of simple and compound events to observed frequencies.