Course Name:
ALEKS Course:
Course Dates:
PreAlgebra into Algebra Summer Hwk
Course Code:
Pre-Algebra
Begin: 05/30/2015
Instructor:
End: 12/31/2015
Course Content:
GHMKU-KPMR9
Ms. Rhame
302 topics
Whole Numbers and Integers (44 topics, no due date)
Operations with Whole Numbers (12 topics)
Addition with carry to the hundreds place
Addition of large numbers
Subtraction with borrowing
Subtraction and regrouping with zeros
Word problem with addition or subtraction of whole numbers
Multiplication with carry
Introduction to multiplication of large numbers
Multiplication of large numbers
Division with carry
Quotient and remainder: Problem type 2
Quotient and remainder: Problem type 3
Word problem with multiplication or division of whole numbers
Number Sense, Rounding, and Estimation (7 topics)
Ordering large numbers
Rounding to tens or hundreds
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
Order of Operations (3 topics)
Introduction to order of operations
Order of operations with whole numbers
Order of operations with whole numbers and grouping symbols
Factors, Prime Numbers, and Divisibilty (8 topics)
Factors
Prime numbers
Prime factorization
Greatest common factor of 2 numbers
Least common multiple of 2 numbers
Word problem with common multiples
Divisibility rules for 2, 5, and 10
Divisibility rules for 3 and 9
Measurement (5 topics)
U.S. Customary unit conversion with whole number values
U.S. Customary unit conversion with whole number values: Two-step conversion
Metric distance conversion with whole number values
Metric mass or capacity conversion with whole number values
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P. 1/7
Time unit conversion with whole number values
Integers (9 topics)
Reading the temperature from a thermometer
Plotting integers on a number line
Absolute value of a number
Integer addition: Problem type 1
Integer addition: Problem type 2
Integer subtraction: Problem type 1
Integer subtraction: Problem type 2
Integer subtraction: Problem type 3
Integer multiplication and division
Rational Numbers (56 topics, no due date)
Equivalent Fractions (11 topics)
Introduction to fractions
Writing ratios for real-world situations
Understanding equivalent fractions
Equivalent fractions
Simplifying a fraction
Fractional position on a number line
Plotting fractions on a number line
Plotting rational numbers on a number line
Ordering fractions with the same denominator
Ordering fractions with the same numerator
Using a common denominator to order fractions
Operation with Fractions (12 topics)
Addition or subtraction of fractions with the same denominator
Addition or subtraction of fractions with different denominators
Fractional part of a circle
The reciprocal of a number
Product of a unit fraction and a whole number
Unit fraction multiplication
Product of a fraction and a whole number: Problem type 1
Fraction multiplication
Multi-step word problem involving fractions and multiplication
Fraction division
Signed fraction addition or subtraction: Advanced
Signed fraction multiplication: Advanced
Mixed numbers (10 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
Addition or subtraction of mixed numbers with the same denominator
Addition of mixed numbers with the same denominator and carry
Subtraction of mixed numbers with the same denominator and borrowing
Addition or subtraction of mixed numbers with different denominators
Mixed number multiplication: Problem type 1
Mixed number multiplication: Problem type 2
Mixed number division
Decimal Place Value and Rounding (4 topics)
Decimal place value: Hundreds to ten thousandths
Rounding decimals
Ordering decimals
Ordering fractions and decimals
Operations with Decimals (13 topics)
Addition of aligned decimals
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P. 2/7
Subtraction of aligned decimals
Word problem with one decimal operation: Problem type 1
Word problem with one decimal operation: Problem type 2
Signed decimal addition and subtraction with 3 numbers
Multiplication of a decimal by a power of ten
Multiplication of a decimal by a whole number
Decimal multiplication: Problem type 1
Word problem with powers of ten
Word problem with multiple decimal operations: Problem type 1
Division of a decimal by a power of ten
Division of a decimal by a whole number
Division of a decimal by a 2-digit decimal
Conversion and Measurement (6 topics)
Converting a decimal to a proper fraction in simplest form: Advanced
Converting a fraction to a terminating decimal
Converting a fraction to a repeating decimal
Converting a mixed number to a decimal
Metric distance conversion with decimal values
Metric conversion with decimal values: Two-step problem
Proportion, Percent, Data and Probability (51 topics, no due date)
Proportion (8 topics)
Word problem on unit rates associated with ratios of whole numbers: Decimal answers
Solving a word problem involving rates and time conversion
Solving a proportion of the form x/a = b/c
Solving a word problem on proportions using a unit rate
Word problem on proportions: Problem type 1
Converting between metric and U.S. Customary unit systems
Converting between compound units: Basic
Converting between compound units: Advanced
Percent (11 topics)
Finding the percentage of a grid that is shaded
Converting between percentages and decimals
Converting a percentage to a fraction in simplest form
Converting a fraction to a percentage: Denominator of 20, 25, or 50
Finding a percentage of a whole number without a calculator: Basic
Writing a ratio as a percentage without a calculator
Finding the sale price without a calculator given the original price and percent discount
Finding the original price given the sale price and percent discount
Finding the percentage increase or decrease: Advanced
Finding simple interest without a calculator
Computing a percentage from a table of values
Data Analysis (18 topics)
Constructing a line plot
Constructing a histogram for numerical data
Constructing a bar graph for non-numerical data
Interpreting a bar graph
Interpreting a double bar graph
Interpreting a line graph
Interpreting a circle graph or pie chart
Mode of a data set
Mean and median of a data set
Finding the value for a new score that will yield a given mean
How changing a value affects the mean and median
Choosing the best measure to describe data
Interpreting a stem-and-leaf plot
Using back-to-back stem-and-leaf plots to compare data sets
Constructing a box-and-whisker plot
Scatter plots and correlation
Copyright © 2015 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation.
P. 3/7
Sketching the line of best fit
Interpreting a Venn diagram of 3 sets
Probability (14 topics)
Interpreting a tree diagram
Introduction to the counting principle
Counting principle
Word problem involving permutations
Word problem involving combinations
Odds of an event
Outcomes and event probability
Introduction to the probability of an event
Probability of an event
Probability of independent events
Probability of dependent events
Probabilities involving two dice
Experimental and theoretical probability
Introduction to expectation
Variable Expressions and Equations (38 topics, no due date)
Real Numbers and Variable Expressions (13 topics)
Introduction to properties of addition
Introduction to properties of multiplication
Understanding the distributive property
Distributive property: Whole number coefficients
Distributive property: Integer coefficients
Combining like terms: Integer coefficients
Combining like terms: Advanced
Identifying numbers as integers or non-integers
Identifying numbers as rational or irrational
Evaluating an algebraic expression: Whole numbers with two operations
Evaluating a linear expression: Integer multiplication with addition or subtraction
Evaluating a quadratic expression: Integers
Writing a one-step variable expression for a real-world situation
Equations (13 topics)
Additive property of equality with whole numbers
Additive property of equality with decimals
Additive property of equality with fractions and mixed numbers
Additive property of equality with integers
Additive property of equality with a negative coefficient
Multiplicative property of equality with whole numbers
Multiplicative property of equality with signed fractions
Solving a two-step equation with integers
Solving a two-step equation with signed fractions
Solving an equation to find the value of an expression
Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution
Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution
Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions
Applications (7 topics)
Translating a sentence into a one-step equation
Solving a fraction word problem using a linear equation of the form Ax = B
Solving a word problem with two unknowns using a linear equation
Solving a decimal word problem using a linear equation with the variable on both sides
Solving a decimal word problem using a linear equation of the form Ax + B = C
Solving a fraction word problem using a linear equation with the variable on both sides
Introduction to algebraic symbol manipulation
Inequalities (5 topics)
Translating a sentence by using an inequality symbol
Solving a linear inequality: Problem type 1
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P. 4/7
Solving a linear inequality: Problem type 2
Solving a linear inequality: Problem type 3
Graphing a linear inequality on the number line
Functions and Graphs (29 topics, no due date)
Functions and Sequences (9 topics)
Function tables with two-step rules
Table for a linear function
Writing a function rule given a table of ordered pairs: One-step rules
Writing a function rule given a table of ordered pairs: Two-step rules
Reading a point in the coordinate plane
Plotting a point in the coordinate plane
Vertical line test
Interpreting the graphs of two functions
Finding the next terms of a sequence with whole numbers
Graphs of Linear Equations (5 topics)
Graphing a line given its x- and y-intercepts
Graphing a line given its equation in slope-intercept form
Graphing a line given its equation in standard form
Graphing a line through a given point with a given slope
Graphing a vertical or horizontal line
Properties of Lines (11 topics)
Finding a solution to a linear equation in two variables
Determining whether given points lie on one, both, or neither of 2 lines given equations
Finding x- and y-intercepts of a line given the equation: Advanced
Finding slope given the graph of a line on a grid
Finding slope given two points on the line
Finding the slope of a line given its equation
Writing an equation of a line given the y-intercept and another point
Writing the equation of a line given the slope and a point on the line
Writing the equation of the line through two given points
Writing an equation and drawing its graph to model a real-world situation: Advanced
Graphically solving a system of linear equations
Graphs of Inequalities and Nonlinear Equations (4 topics)
Graphing a linear inequality in the plane: Vertical or horizontal line
Graphing a linear inequality in the plane: Slope-intercept form
2
Graphing a parabola of the form y = ax
3
Graphing a cubic function of the form y = ax
Exponents and Polynomials (17 topics, no due date)
Exponents (12 topics)
Introduction to exponents
Evaluating expressions with exponents: Problem type 1
Order of operations with integers and exponents
Evaluating an expression with a negative exponent: Positive fraction base
Evaluating an expression with a negative exponent: Negative integer base
Ordering numbers with positive exponents
Scientific notation with positive exponent
Scientific notation with negative exponent
Introduction to the product rule of exponents
Product rule with positive exponents: Multivariate
Quotient of expressions involving exponents
Power rules with positive exponents
Square Roots (2 topics)
Square root of a perfect square
Copyright © 2015 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation.
P. 5/7
Estimating a square root
Polynomials (3 topics)
Simplifying a sum or difference of three univariate polynomials
Multiplying binomials with leading coefficients of 1
Squaring a binomial: Univariate
Geometry (67 topics, no due date)
Lines and Angles (12 topics)
Naming segments, rays, and lines
Measuring an angle with the protractor
Drawing an angle with the protractor
Acute, obtuse, and right angles
Finding supplementary and complementary angles
Identifying corresponding and alternate angles
Identifying supplementary and vertical angles
Solving equations involving vertical angles
Solving equations involving angles and a pair of parallel lines
Constructing congruent angles
Constructing an angle bisector
Constructing the perpendicular bisector of a line segment
Triangles and Trigonometry (6 topics)
Acute, obtuse, and right triangles
Scalene, isosceles, and equilateral triangles
Area of a triangle
Finding an angle measure of a triangle given two angles
Finding an angle measure for a triangle with an extended side
Pythagorean Theorem
Quadrilaterals and Other Polygons (16 topics)
Classifying quadrilaterals
Perimeter of a square or a rectangle
Perimeter of a polygon
Finding a side length given the perimeter and side lengths with variables
Sides of polygons having the same perimeter
Finding the side length of a rectangle given its perimeter or area
Distinguishing between the area and perimeter of a rectangle
Areas of rectangles with the same perimeter
Perimeter of a piecewise rectangular figure
Area of a square or a rectangle
Area of a piecewise rectangular figure
Area of a parallelogram
Area of a trapezoid
Word problem involving the area between two rectangles
Area involving rectangles and triangles
Finding the perimeter or area of a rectangle given one of these values
Circles (7 topics)
Introduction to a circle: Diameter, radius, and chord
Circumference of a circle
Circumference and area of a circle
Finding the radius or the diameter of a circle given its circumference
Word problem involving the area between two concentric circles
Area involving rectangles and circles
Area involving inscribed figures
Volume and Surface Areas (16 topics)
Volume of a rectangular prism
Volume of a piecewise rectangular prism
Volume of a triangular prism
Copyright © 2015 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation.
P. 6/7
Volume of a pyramid
Volume of a cylinder
Word problem involving the rate of filling or emptying a cylinder
Volume of a cone: Exact answers in terms of pi
Vertices, edges, and faces of a solid
Side views of a solid made of cubes
Counting the cubes in a solid made of cubes
Nets of solids
Surface area of a piecewise rectangular prism made of unit cubes
Surface area of a cube or a rectangular prism
Surface area of a triangular prism
Surface area of a cylinder: Exact answers in terms of pi
Surface area involving prisms or cylinders
Similarity and Transformations (10 topics)
Similar polygons
Indirect measurement
Identifying transformations
Translating a polygon
Using a translated point to find coordinates of other translated points
Reflecting a polygon over a vertical or horizontal line
Finding the coordinates of three points reflected over an axis
Drawing lines of symmetry
Rotating a figure about the origin
Dilating a figure
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P. 7/7