The Dates of the Final Exam are June 6th and June 9th. Topics Covered in the Pre Algebra Final Exam (2013-2014) The final is basically broken into thirds: 1/3 no calculator, multiple choice; 1/3 with calculator, multiple choice; 1/3 with calculator, open ended. The formula sheet that we used in class will be provided (one side 7th grade, one side 8th grade) □ □ □ □ □ □ □ NUMBER THEORY Order of operations: Add; subtract, multiply, divide, positive powers, grouping symbols Integer Operations (no calculator) Operations with Fractions and Decimals (no calculator) Square root – integer (without a calculator) Absolute Value Ordering fractions, decimals and percents and plotting on a number line Converting fractions, decimals and percents GEOMETRY □ □ □ □ □ □ □ □ □ □ □ □ □ □ □ □ □ □ □ □ □ □ Pythagorean Theorem Given one angle find all of the remaining angles on a diagram of parallel lines Angles - Identify corresponding, alternate interior, alternate exterior, supplementary, vertical, supplementary, complementary angles. Find the measure of angles on a drawing involving supplementary, complementary or vertical angles Classify & identify figures and line segments: Triangles by sides & angles; Solids (prisms, pyramids, cylinders); Identify Parallel, Perpendicular, Skew lines MEASUREMENT The following can be presented in real-world applications: Finding area of figures on formula sheet Surface Area - Find the surface area of a rectangular prism – Add the areas of all of the sides Volume- Find the volume of a rectangular prism; cylinder Circumference and Area of a circle Scientific Notation - Given a number in either form rewrite the number in scientific or standard notation, using positive and negative exponents ALGEBRA Translate verbal expressions and statements into algebraic expressions or equations Apply writing expressions and equations to real-life problem situations Solving Equations - Using substitution, Use inverse operations (may involve integers, fractions or decimals), Solve one-step, two-step and multi-step equations Commutative and Associative Property - Use the properties to combine like terms: example 5x + 2y – 3x + 4y Distributive Property - Simplify expressions such as 2(3x +5) Simplify and solve expressions which involve like terms and the distributive property, example 5x + 2(3x – 5) Identity Properties of + and *, Multiplicative Property of Zero Identifying a pattern in a number sequence and naming the “6 th” term Inequalities - Translate verbal phrases into inequalities, Graph inequalities on a number line, Solve one and two-step inequalities Coordinate Plane - Identify parts of the coordinate plane Ordered Pairs - Locate an object using an ordered pair; Given an equation, select an ordered pair that is a solution: Make a Table of Solutions and graph y= 3x+4 The Dates of the Final Exam are June 6th and June 9th. □ □ □ □ □ □ □ PROPORTIONS AND PERCENTS Ratios, Rates and Proportions - Find ratios, rates, unit rates in real life situations; Use ratios to create proportions; Solve proportions; Given data, write a ratio and then use a proportion to predict; Better Buy using unit rates Percents – Given values for any 2 of 3, find the missing value: part, whole, percent Similarity - Use ratio of similarity to find missing parts of similar polygons Apply ratio of similarity to indirect measurement and scale models in real life situations Discount - Find the sale price of an item given the % discount; Find the final price given a discount and tax Tax - Find the tax on an item given the % Simple Interest I=prt, Find the simple interest given a loan or savings situation; Find the value of the missing variable example: given the interest, principal and time, find the rate. DATA ANALYSIS AND PROBABILITY □ □ Possible Outcomes - Determine the number of possible outcomes Probability - Find the theoretical or experimental probability for simple situations