College Exam Math Prep
Course Features
Course Details
Course Overview
The Acellus College Exam Math Preparation course has been specially developed to help students prepare to take the math portion of the ACT or SAT college entrance exam. Students watch as problems similar to those presented in these exams are solved in the high-quality video lessons. After each lesson students are presented with several similar problems to enable them to practice the concepts that they have just reviewed.
It is taught by award-winning Acellus Master Teacher, Patrick Mara.
Course topics include:
- Sets
- Number Bases
- Fractions, Decimals, and Percentages
- Permutations and Combinations
- Linear Equations
- Polynomials
- Quadratics
- Application Problems
- Exponents
- Radicals
- Distance and Mid-Point Formulas
- Conic Sections
- Systems of Equations
- Exponential and Logarithmic Functions
- Sequences and Series
- Complex Numbers
- Polygons
- Pythagorean Theorem
- Special Right Triangles (30-60-90 and 45-45-90)
- Area and Perimeter
- Trigonometric Functions
- Graphs of Trigonometric Functions
Course Objectives & Student Learning Outcomes
Upon completion of the course, students will be able to identify digits and place value with 3-digit and 4-digit numbers; write expanded form and word form of 3-digit and 4-digit numbers; use number lines; identify counting order; identify greater than and less than, odd and even numbers; count by tens, fives, and twos; use organized lists and charts for logical reasoning; round to the nearest ten, hundred, thousand, and given place value; count by 25s, 50s, 100s and 1,000s; use benchmarks; solve word problems; add using commutative, identify, associative properties, parentheses, as well as mental sums with tens, hundreds, and thousands; estimate sums for ten, hundreds, thousands, different place values and compatible numbers; add compatible numbers and solve word problems; add 2-digit numbers without grouping; add 2-digit, 3-digit, and 4-digit numbers with regrouping; add three 2-digit addends; add with different place values; use the guess and check method; choose an addition method; solve word problems; use mental math and find differences for tens, hundreds, and thousands; estimate differences for tens, hundreds, thousands, and compatible numbers; and subtract compatible numbers. Students will also be able to subtract 2-digit numbers without regrouping and 2-digit, 3-digit, and 4-digit subtraction with regrouping; find differences across zeroes; subtract with different place values; check subtraction with addition; compare differences, odd or even sums and differences; give exact or estimate answer; choose subtraction method; solve word problems; read a clock to the nearest second; say same time different ways; choose a.m. or p.m.; calculate time passage and elapsed time; name months of year; read calendar and time zones; count pennies, dimes, nickels, dimes, quarters, half dollars, bills, and coins; calculate and count change; find patterns in counting to 100; use tally and frequency tables for surveys; read pictographs, bar-, line-, and circle-graphs, line plots; calculate mode and range; use ordered pairs; calculating probability of events and predicting outcomes; and judge fair and unfair games. Finally, students will be able to multiply by 0 – 11; multiply using multiplication properties, solve problems using tables; solve multiplication word problems; find missing factors; multiply with three factors; multiply using calculator; divide and multiply by 1 – 10; use division rules for zero; recall multiplication and division fact families; choose division operation; solve working backwards; find missing operation in equations and expressions; use order of operations; divide with calculator; describe, identify and classify lines, angels, polygons, solid figures, triangles by angles, quadrilaterals, circles, congruent figures, lines of symmetry; relate objects to solid figures; add and subtract mixed numbers, fractions, fractions as part of a whole and as part of a group; find fractions of amounts, equivalent fractions; compare fractions; solve word problems; add and subtract decimals to the tenth and hundredth place, with whole-number parts and their word forms; compare decimals; and decimals and fractions with money; measure length, weight, temperature, volume, mass, and capacity in U.S. and metric units; multiply by tens and hundreds; estimate products; multiply with regrouping; multiply 2-digit and 3-digit numbers; divide multiples of 100, 100, and 1,000; estimate quotients; regroup and divide 2-digit numbers; check division with multiplication; and solve word problems.Scope and Sequence
Unit 1 – Pre-Algebra This unit covers basic pre-algebra concepts, such as sets and sets of numbers, number bases, axioms, order of operations, absolute value, prime and composite numbers, lowest common multiples and greatest common factors, fractions, percents, permutations, combinations, and probability. Unit 2 – Algebra I This unit reviews concepts from Algebra I, including variables, like terms, linear equations, statistics, polynomials, factoring, and quadratics. Also covered are variation, exponents, radicals and radical equations, and distance and mid-point formulas, as well as age problems, geometric word problems, motion problems, coin and stamp problems, ratio problems, and work problems. Unit 3 – Algebra II This unit reviews Algebra II, including equation of a line, conic sections, functions, systems of equations, exponential and log functions, sequences, series, and complex numbers. Unit 4 – Geometry This unit discusses segment lengths, congruent angles, polygons, similar triangles, pythagorean theorem, 30-60-90 and 45-45-90 triangles, quadrilaterals, central and inscribed angles, area and perimeter. Unit 5 – Trigonometry This unit covers radians, degrees, trigonometric definitions and their graphs, inverse trigonometric functions, and identities. It further provides success strategies for taking college entrance exams.
This course was developed by the International Academy of Science.
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