Number Systems – operations with rational numbers (positive and negative integers, decimals, and fractions); problem solving and order of operations with rational numbers; equivalent representations of a number; comparing quantities.
Ratios and Proportional Relationships – analyze proportional relationships and use them to solve real-world and mathematical problems; represent ratios in multiple ways; determine if two quantities are in a proportional relationship; identify the constant of proportionality from tables, graphs, and equations; use proportional relationships to solve multistep ratio and percent problems involving simple interest, tax, discounts, gratuities and commissions, fees, and percent of change.
Geometry - identify and draw geometric shapes with given conditions; know the formulas for the area and circumference of a circle and use them to solve problems; use facts about supplementary, complementary, vertical, and adjacent angles to solve for an unknown angle in a figure; solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Expressions and Equations – combine like terms to simplify algebraic expressions; write and solve algebraic equations
Statistics and Probability – collect, organize and interpret data; calculate measures of central tendency; construct an accurate circle graph using a compass and a protractor; use data from a random sample to draw inferences about a population; calculate the probability of simple and compound events.
Performance Tasks – all seventh grade students will complete two performance tasks, in which they will apply their knowledge to real-world scenarios