Seventh Grade Mathematics
Developing fluency with rational numbers and operations to solve problems in a variety of contexts.
Students understand how operations extend across different sets of numbers. Students develop fluency with addition, subtraction, multiplication, and division of rational numbers and use the operations to solve problems.
- Visual representation to describe relationships between sets of rational numbers Solve problems using addition, subtraction, multiplication, and division of rational numbers
Representing and applying proportional relationships.
Students use reasoning about ratios, rates, proportionality, and percent to solve problems.
- Multiple representations of constant rates
- Determine the constant of proportionality
- Solve problems with percent increase and decrease and financial literacy problems
- Convert between measurement systems including the use of proportions and unit rates
- Describe pi as the ratio of the circumference of a circle to its diameter and determine circumference and area of a circle
- Simulations for simple and compound events
- Probability of a simple event and its complement
- Make inferences from sampling
- Solve problems using data in bar graphs, dot plots, and circle graphs
- Solve problems using qualitative and quantitative predictions
Using expressions and equations to describe relationships in a variety of contexts, including geometric problems.
Students select, justify, and use appropriate symbolic representations to solve problems in varied contexts, including use of geometric formulas for pyramids and circles.
- Linear relationships using verbal descriptions, tables, graphs, and equations: y=mx+b
- Volume comparisons of prisms and pyramids
- Lateral and total surface area of prisms and pyramids
- Model, write, solve, and graph inequalities
- Write and solve equations using geometry concepts, including sum of angles in a triangle
Comparing sets of data.
Students use representations of center, spread, and shape to compare and form inferences about sets of data.
- Compare and use data in random samples from populations
- Analyze shapes, centers, and spreads of comparative dot plots and box plots