Students use correct order of operations and number properties to add, subtract, multiply, and divide positive and negative rational numbers, extract roots and determine whole number powers of positive rational numbers. Students reason proportionately and use ratios and rates to solve problems. Use a calculator to find an approximation for sqrt75 correct to hundredths. Symbols and Algebra 1. Students express quantitative relationships using algebraic terminology, expressions, equations, and inequalities.
Students interpret and evaluate expressions involving integer powers and roots of monomials.
2.1 interpret whole number powers as repeated addition, negative integer powers as reciprocals, and evaluate monomials having them 2.2 simplify square roots of perfect square monomials Measurement and Geometry 1. Students choose appropriate units of measure and use proportional reasoning to convert within and between measurement and monetary systems. Students know and use formulas for perimeter, circumference, area, and volume of common geometric objects and use these to derive methods for finding or approximating measures of less common objects. 2.1 estimate and find the area of polygons by subdividing them into rectangles and triangles 2.2 given the vertices as ordered pairs, plot, connect points, and determine the area and perimeter of a polygon with horizontal and vertical sides 2.3 reason proportionately to find measures and the ratios in situations involving similar figures 3. Students identify, describe, represent, extend, and create linear and non-linear number patterns.