NUMBER THEORY



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 “6th” 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

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

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