· Use proportional relationships to solve multi-step operation and percent problems
à If a person walks ½ mile in each ¼ hour, what is her speed per hour?
· Compute unit rates
· Add, subtract, multiply, and divide rational numbers
· Know irrational numbers (numbers that are not rational) and approximate them with rational numbers
à The decimal of √2 (an irrational number) is 1.4142435623. Understand that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations
· Use properties of operations to solve algebraic equations
· Use square root and cube root symbols to represent solutions to equations
· Evaluate square root and cube roots (of small perfect square roots and cube roots) Know that √2 is irrational
· Use numbers multiplied by a power of ten to estimate very large or very small quantities (the population of the United States is 3 x 108)
· Add, subtract, factor, and expand linear expressions. Construct simple equations and inequalities to solve problems
· Draw, construct, and describe geometrical figures and describe the relationships between them
· Solve problems involving angle measure, area, surface area, and volume (cylinders, cones, and spheres)
· Know formulas for volumes of cones, cylinders, and spheres
· Know the formulas for area and circumference of a circle
· Use random sampling to describe and compare populations
· Find, calculate, and explain the probability of a chance event
à For example, if a student is selected from a class, find the probability that Jane will be selected and the probability that a girl will be selected.
à Or if 40% of donors have type A blood, what is the probability that it will take at least 4 donors to find one with type A blood?