Course Name:
ALEKS Course:
Course Dates:
Essential Mathematics (with QuickTables) 6th Power Math - F 2015 (12 months)
Essential Mathematics (with QuickTables)
Begin: 09/08/2015
End: 08/31/2016
Course Code:
Instructor:
Course Content:
AFGRU-PQ3MV
Mr. King
438 topics
Whole Numbers (100 topics, no due date)
Expanded Form and Numeral Translation (4 topics)
Whole number place value: Problem type 1
Whole number place value: Problem type 2
Numeral translation: Problem type 1
Numeral translation: Problem type 2
Addition and Subtraction (15 topics)
One-digit addition with carry
Addition of 3 or 4 one-digit numbers
Addition without carry
Adding a 2-digit number and a 1-digit number with carry
Addition with carry
Addition with carry to the hundreds place
Addition of large numbers
Subtracting a 1-digit number from a 2-digit number
Subtraction without borrowing
Subtraction with borrowing
Subtraction with multiple regrouping steps
Subtraction and regrouping with zeros
Fact families for addition and subtraction
Word problem with addition or subtraction of whole numbers
Describing an increasing or decreasing pattern from a table of values
Multiplication and Division (29 topics)
Multiplication as repeated addition
One-digit multiplication
Using multiplication to find the number of squares
Multiplication by 10, 100, and 1000
Multiplication without carry
Multiplication with carry
Multiplication with trailing zeros: Problem type 1
Introduction to multiplication of large numbers
Understanding multiplication of a one-digit number with a larger number
Multiplication with trailing zeros: Problem type 2
Multiplication of large numbers
Multiples: Problem type 1
Multiples: Problem type 2
Division facts
Fact families for multiplication and division
Word problem with multiplication or division of whole numbers
Word problem with multiplication and addition or subtraction of whole numbers
Word problem on unit rates associated with ratios of whole numbers: Whole number answers
Division of whole numbers given in fractional form
Division involving zero
Division without carry
Division with carry
Whole number division: 2-digit by 2-digit, no remainder
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Whole number division: 3-digit by 2-digit, no remainder
Division with trailing zeros: Problem type 1
Division with trailing zeros: Problem type 2
Quotient and remainder: Problem type 1
Word problem on quotient and remainder
Quotient and remainder: Problem type 2
Ordering, Rounding, and Order of Operations (19 topics)
Introduction to inequalities
Comparing a numerical expression with a number
Ordering large numbers
Rounding to tens or hundreds
Rounding to hundreds or thousands
Rounding to thousands, ten thousands, or hundred thousands
Estimating a sum of whole numbers
Estimating a difference of whole numbers
Estimating a product
Estimating a quotient
Writing expressions using exponents
Introduction to exponents
Power of 10: Positive exponent
Introduction to parentheses
Comparing numerical expressions with parentheses
Introduction to order of operations
Order of operations with whole numbers
Order of operations with whole numbers and grouping symbols
Order of operations with whole numbers and exponents: Basic
Prime Numbers, Factors, and Multiples (15 topics)
Even and odd numbers
Divisibility rules for 2, 5, and 10
Divisibility rules for 3 and 9
Factors
Prime numbers
Prime factorization
Greatest common factor of 2 numbers
Greatest common factor of 3 numbers
Introduction to the distributive property
Understanding the distributive property
Introduction to factoring with numbers
Factoring a sum or difference of whole numbers
Least common multiple of 2 numbers
Least common multiple of 3 numbers
Word problem involving the least common multiple of 2 numbers
Evaluating and Writing Expressions (8 topics)
Evaluating an algebraic expression: Whole number addition or subtraction
Evaluating an algebraic expression: Whole number multiplication or division
Evaluating an algebraic expression: Whole numbers with two operations
Evaluating a formula
Evaluating an algebraic expression: Whole numbers with one operation and an exponent
Writing a one-step expression for a real-world situation
Translating a phrase into a one-step expression
Translating a phrase into a two-step expression
Writing and Solving One-Step Equations (6 topics)
Identifying solutions to a one-step linear equation: Problem type 1
Identifying solutions to a one-step linear equation: Problem type 2
Additive property of equality with whole numbers
Introduction to solving an equation with multiplication or division
Multiplicative property of equality with whole numbers
Translating a sentence into a one-step equation
Introduction to Perimeter and Area (4 topics)
Perimeter of a polygon
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Perimeter of a square or a rectangle
Area of a square or a rectangle
Perimeter and area on a grid
Decimals (45 topics, no due date)
Place Value, Ordering, and Rounding (10 topics)
Decimal place value: Tenths and hundredths
Decimal place value: Hundreds to ten thousandths
Writing a decimal number less than 1 given its name
Writing a decimal number greater than 1 given its name
Writing a decimal number given its name: Advanced
Reading decimal position on a number line: Tenths
Reading decimal position on a number line: Hundredths
Introduction to ordering decimals
Ordering decimals
Rounding decimals
Addition and Subtraction (12 topics)
Addition of aligned decimals
Decimal addition with 3 numbers
Subtraction of aligned decimals
Decimal subtraction: Basic
Decimal subtraction: Advanced
Decimal addition and subtraction with 3 or more numbers
Estimating a decimal sum or difference
Addition with money
Subtraction with money
Word problem with addition or subtraction of 2 decimals
Word problem with addition of 3 or 4 decimals and whole numbers
Word problem with subtraction of a whole number and a decimal: Regrouping with zeros
Multiplication and Division (21 topics)
Introduction to decimal multiplication
Multiplication of a decimal by a whole number
Decimal multiplication: Problem type 1
Decimal multiplication: Problem type 2
Multiplication of a decimal by a power of ten
Multiplication of a decimal by a power of 0.1
Multiplication of decimals that have a product less than 0.1
Word problem with multiplication of a decimal and a whole number
Word problem with multiplication of two decimals
Word problem with multiple decimal operations: Problem type 1
Whole number division with decimal answers
Division of a decimal by a whole number
Division of a decimal by a 1-digit decimal
Division of a decimal by a 2-digit decimal
Division of a decimal by a power of ten
Division of a decimal by a power of 0.1
Decimal division with rounding
Word problem with division of a decimal and a whole number
Word problem with division of two decimals
Word problem with multiple decimal operations: Problem type 2
Average of two numbers
Exponents and Order of Operations (2 topics)
Squaring decimal bases: Products greater than 0.1
Exponents and decimals: Products less than 0.1
Fractions (62 topics, no due date)
Equivalent Fractions (5 topics)
Introduction to fractions
Understanding equivalent fractions
Equivalent fractions
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Introduction to simplifying a fraction
Simplifying a fraction
Plotting and Ordering Fractions (5 topics)
Fractional position on a number line
Plotting fractions on a number line
Ordering fractions with the same denominator
Ordering fractions with the same numerator
Using a common denominator to order fractions
Multiplication and Division (15 topics)
Product of a unit fraction and a whole number
Product of a fraction and a whole number: Problem type 1
Introduction to fraction multiplication
Fraction multiplication
Product of a fraction and a whole number: Problem type 2
Determining if a quantity is increased or decreased when multiplied by a fraction
Modeling multiplication of proper fractions
Multiplication of 3 fractions
Word problem involving fractions and multiplication
The reciprocal of a number
Division involving a whole number and a fraction
Fraction division
Fact families for multiplication and division of fractions
Modeling division of a whole number by a fraction
Word problem involving fractions and division
Addition and Subtraction (8 topics)
Addition or subtraction of fractions with the same denominator
Addition or subtraction of fractions with the same denominator and simplification
Finding the LCD of two fractions
Addition or subtraction of unit fractions
Introduction to addition or subtraction of fractions with different denominators
Addition or subtraction of fractions with different denominators
Word problem involving addition or subtraction of fractions with different denominators
Fractional part of a circle
Mixed Numbers (8 topics)
Writing a mixed number and an improper fraction for a shaded region
Writing an improper fraction as a mixed number
Writing a mixed number as an improper fraction
Mixed number multiplication
Multiplication of a mixed number and a whole number
Division with a mixed number and a whole number
Mixed number division
Word problem involving multiplication or division with mixed numbers
Converting Fractions to Decimals (13 topics)
Writing a decimal and a fraction for a shaded region
Converting a fraction with a denominator of 10 or 100 to a decimal
Converting a fraction with a denominator of 100 or 1000 to a decimal
Converting a proper fraction with a denominator of 2, 4, or 5 to a decimal
Converting a mixed number with a denominator of 2, 4, or 5 to a decimal
Converting a fraction to a terminating decimal: Basic
Converting a fraction to a terminating decimal: Advanced
Converting a fraction to a repeating decimal: Basic
Converting a fraction to a repeating decimal: Advanced
Using a calculator to convert a fraction to a rounded decimal
Converting a mixed number to a terminating decimal: Basic
Converting a mixed number to a terminating decimal: Advanced
Ordering fractions and decimals
Converting Decimals to Fractions (6 topics)
Converting a decimal to a proper fraction without simplifying: Basic
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Converting
Converting
Converting
Converting
Converting
a
a
a
a
a
decimal to
decimal to
decimal to
decimal to
decimal to
a
a
a
a
a
proper fraction without simplifying: Advanced
proper fraction in simplest form: Basic
proper fraction in simplest form: Advanced
mixed number and an improper fraction without simplifying
mixed number and an improper fraction in simplest form: Basic
Exponents and Order of Operations (2 topics)
Exponents and fractions
Order of operations with fractions: Problem type 1
Ratios, Proportions, and Measurement (36 topics, no due date)
Ratios and Unit Rates (15 topics)
Writing ratios using different notations
Writing ratios for real-world situations
Identifying statements that describe a ratio
Simplifying a ratio of whole numbers: Problem type 1
Simplifying a ratio of decimals
Finding a unit price
Using tables to compare ratios
Computing unit prices to find the better buy
Word problem on unit rates associated with ratios of whole numbers: Decimal answers
Solving a word problem on proportions using a unit rate
Solving a one-step word problem using the formula d = rt
Function tables with one-step rules
Finding missing values in a table of equivalent ratios
Using a table of equivalent ratios to find a missing quantity in a ratio
Writing an equation to represent a proportional relationship
U.S. Customary Units of Measurement (10 topics)
Choosing a measuring tool
Choosing U.S. Customary measurement units
Measuring length to the nearest inch
Measuring length to the nearest quarter or half inch
U.S. Customary unit conversion with whole number values
Conversions involving measurements in feet and inches
Adding measurements in feet and inches
U.S. Customary unit conversion with whole number values: Two-step conversion
U.S. Customary unit conversion with mixed number values: One-step conversion
U.S. Customary unit conversion with mixed number values: Two-step conversion
Metric Units of Measurement (7 topics)
Choosing metric measurement units
Measuring length to the nearest centimeter
Measuring length to the nearest millimeter
Metric distance conversion with whole number values
Metric mass or capacity conversion with whole number values
Metric distance conversion with decimal values
Metric conversion with decimal values: Two-step problem
Time and Temperature (3 topics)
Time unit conversion with whole number values
Introduction to adding time
Introduction to elapsed time
Converting Between Measurement Systems (1 topic)
Converting between metric and U.S. Customary unit systems
Percents (33 topics, no due date)
Converting Between Fractions, Decimals, and Percents (13 topics)
Converting a fraction with a denominator of 100 to a percentage
Converting a percentage to a fraction with a denominator of 100
Finding the percentage of a grid that is shaded
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Representing benchmark percentages on a grid
Introduction to converting a percentage to a decimal
Introduction to converting a decimal to a percentage
Converting between percentages and decimals
Converting between percentages and decimals in a real-world situation
Converting a percentage to a fraction in simplest form
Converting a fraction to a percentage: Denominator of 4, 5, or 10
Finding benchmark fractions and percentages for a figure
Converting a fraction to a percentage: Denominator of 20, 25, or 50
Converting a fraction to a percentage in a real-world situation
Finding Percents and Percent Equations (12 topics)
Finding a percentage of a whole number
Finding a percentage of a whole number without a calculator: Basic
Finding a percentage of a whole number without a calculator: Advanced
Applying the percent equation: Problem type 1
Applying the percent equation: Problem type 2
Finding a percentage of a total amount: Real-world situations
Finding a percentage of a total amount without a calculator: Sales tax, commission, discount
Estimating a tip without a calculator
Writing a ratio as a percentage without a calculator
Finding the rate of a tax or commission
Finding the total amount given the percentage of a partial amount
Finding a percentage of a total amount in a circle graph
Percent Increase and Decrease (6 topics)
Finding
Finding
Finding
Finding
Finding
Finding
the
the
the
the
the
the
final amount given the original amount and a percentage increase or decrease
sale price given the original price and percent discount
sale price without a calculator given the original price and percent discount
total cost including tax or markup
original amount given the result of a percentage increase or decrease
original price given the sale price and percent discount
Personal Financial Literacy (2 topics)
Comparing discounts
Computing percentages for categories of a budget
Integers and Rational Numbers (27 topics, no due date)
Plotting and Comparing Signed Numbers (12 topics)
Plotting integers on a number line
Ordering integers
Using a number line to compare integers
Writing a signed number for a real-world situation
Interpreting a table of signed numbers that relate to a real-world situation: Problem type 1
Interpreting a table of signed numbers that relate to a real-world situation: Problem type 2
Comparing signed numbers relating to a real-world situation
Plotting opposite integers on a number line
Finding opposites of integers
Absolute value of a number
Finding all numbers with a given absolute value
Plotting rational numbers on a number line
Operations with Integers (6 topics)
Integer addition: Problem type 1
Integer addition: Problem type 2
Integer subtraction: Problem type 1
Integer subtraction: Problem type 2
Operations with absolute value: Problem type 1
Computing the distance between two integers on a number line
Properties of Real Numbers (9 topics)
Identifying like terms
Combining like terms: Whole number coefficients
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Introduction to properties of addition
Multiplying a constant and a linear monomial
Distributive property: Whole number coefficients
Factoring a linear binomial
Identifying parts in an algebraic expression
Identifying equivalent algebraic expressions
Introduction to properties of multiplication
Equations and Inequalities (19 topics, no due date)
One-Step Equations (4 topics)
Additive property of equality with decimals
Multiplicative property of equality with decimals
Multiplicative property of equality with whole numbers: Fractional answers
Multiplicative property of equality with fractions
Multi-Step Equations (2 topics)
Using two steps to solve an equation with whole numbers
Introduction to solving an equation with parentheses
Applications (2 topics)
Solving a fraction word problem using a linear equation of the form Ax = B
Translating a sentence into a multi-step equation
Writing and Graphing Inequalities (6 topics)
Translating a sentence by using an inequality symbol
Translating a sentence into a one-step inequality
Introduction to identifying solutions to an inequality
Writing an inequality for a real-world situation
Graphing a linear inequality on the number line
Writing an inequality given a graph on the number line
Solving Inequalities (5 topics)
Identifying solutions to a one-step linear inequality
Additive property of inequality with whole numbers
Multiplicative property of inequality with whole numbers
Solving a two-step linear inequality with whole numbers
Solving a word problem using a one-step linear inequality
Graphs and Functions (26 topics, no due date)
Ordered Pairs (11 topics)
Reading a point in quadrant 1
Plotting a point in quadrant 1
Reading a point in the coordinate plane
Plotting a point in the coordinate plane
Plotting a point in quadrant 1: Mixed number coordinates
Plotting a point in the coordinate plane: Mixed number coordinates
Naming the quadrant or axis of a point given its graph
Naming the quadrant or axis of a point given its coordinates
Naming the quadrant or axis of a point given the signs of its coordinates
Finding distances between points that share a common coordinate given the graph
Finding distances between points that share a common coordinate given their coordinates
Tables and Graphs of Lines (6 topics)
Making a table and plotting points given a unit rate
Graphing whole number functions
Function tables with two-step rules
Writing a function rule given a table of ordered pairs: One-step rules
Graphing a line in quadrant 1
Interpreting a line graph
Applications (6 topics)
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Finding outputs of a one-step function that models a real-world situation: Two variable equation
Finding outputs of a two-step function with decimals that models a real-world situation: Two variable equation
Writing and evaluating a function that models a real-world situation: Basic
Graphing ordered pairs and writing an equation from a table of values in context
Writing an equation and drawing its graph to model a real-world situation: Basic
Identifying independent and dependent quantities from tables and graphs
Sequences (3 topics)
Finding the next terms of an arithmetic sequence with whole numbers
Finding the next terms of a geometric sequence with whole numbers
Finding patterns in shapes
Angles, Lines, and Polygons (9 topics, no due date)
Angles (2 topics)
Measuring an angle with the protractor
Acute, obtuse, and right angles
Parallel Lines (2 topics)
Naming segments, rays, and lines
Identifying parallel and perpendicular lines
Triangles (3 topics)
Acute, obtuse, and right triangles
Classifying scalene, isosceles, and equilateral triangles by side lengths or angles
Finding an angle measure of a triangle given two angles
Polygons and Quadrilaterals (2 topics)
Naming polygons
Drawing and identifying a polygon in the coordinate plane
Transformations (10 topics, no due date)
Translations (4 topics)
Identifying transformations
Introduction to translations
Translating a point and giving its coordinates: One step
Translating a point and giving its coordinates: Two steps
Reflections (6 topics)
Introduction to reflections
Reflecting a point across an axis
Reflecting a point across both coordinate axes
Reflecting a point across an axis and giving its coordinates
Finding the coordinates of a point reflected across an axis
Finding the coordinates of a point reflected across both axes
Perimeters, Areas, and Volumes (41 topics, no due date)
Perimeter and Area of Polygons (18 topics)
Sides of polygons having the same perimeter
Finding the missing length in a figure
Perimeter of a piecewise rectangular figure
Area of a rectangle involving fractions
Distinguishing between the area and perimeter of a rectangle
Areas of rectangles with the same perimeter
Word problem involving the area of a square or a rectangle
Finding the side length of a rectangle given its perimeter or area
Area of a piecewise rectangular figure
Area between two rectangles
Finding the area of a right triangle on a grid
Finding the area of a right triangle or its corresponding rectangle
Area of a triangle
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P. 8 / 10
Finding the area of a trapezoid on a grid by using triangles and rectangles
Area involving rectangles and triangles
Area of a parallelogram
Area of a trapezoid
Finding the perimeter or area of a rectangle in the coordinate plane
Circumference and Area of Circles (5 topics)
Introduction to a circle: Diameter, radius, and chord
Circumference of a circle
Area of a circle
Circumference and area of a circle
Distinguishing between the area and circumference of a circle
Three-Dimensional Figures (2 topics)
Classifying solids
Vertices, edges, and faces of a solid
Volumes (8 topics)
Volume of a rectangular prism
Volume of a rectangular prism made of unit cubes
Volume of a solid made of cubes with unit fraction edge lengths
Volume of a rectangular prism with fractional edge lengths
Word problem involving the volume of a rectangular prism
Word problem involving the rate of filling or emptying a rectangular prism
Volume of a triangular prism
Word problem involving the volume of a triangular prism
Surface Areas (8 topics)
Nets of solids
Surface area of a cube or a rectangular prism
Surface area of a rectangular prism made of unit cubes
Distinguishing between surface area and volume
Using a net to find the surface area of a rectangular prism
Word problem involving the surface area of a rectangular prism
Surface area of a triangular prism
Using a net to find the surface area of a triangular prism
Data Analysis and Probability (30 topics, no due date)
Collecting Data (2 topics)
Identifying statistical questions
Choosing an appropriate method for gathering data: Problem type 1
Tables of Data (1 topic)
Interpreting a tally table
Graphs of Data (7 topics)
Constructing a line plot
Constructing a bar graph for non-numerical data
Constructing a histogram for numerical data
Interpreting a bar graph
Interpreting a double bar graph
Interpreting a pictograph table
Interpreting a stem-and-leaf plot
Mean, Median, and Mode (15 topics)
Mode of a data set
Finding the mode and range of a data set
Finding the mode and range from a line plot
Mean of a data set
Using a model to find the mean
Understanding the mean graphically: Two bars
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P. 9 / 10
Understanding the mean graphically: Four or more bars
Finding the mean of a symmetric distribution
Finding sample size and comparing samples for estimating the mean
Computations involving the mean, sample size, and sum of a data set
Finding the value for a new score that will yield a given mean
Mean and median of a data set
How changing a value affects the mean and median
Finding outliers in a data set
Choosing the best measure to describe data
Measures of Variation (5 topics)
Comparing measures of center and variation
Using back-to-back stem-and-leaf plots to compare data sets
Five-number summary and interquartile range
Constructing a box-and-whisker plot
Computing mean absolute deviation from a list of numerical values
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