- ALEKS TESTING: http://mustangv.blogspot.com/2011/11/1st-alek-assesment.htm
- Singapore Journaling
- Spectrum Workbooks
- MEP Exposures: Main site: http://www.cimt.plymouth.ac.uk/projects/mep/default.htm
- Khan Academy Progress:
- AoPS: site: http://www.artofproblemsolving.com/
Course 5:
Mathematics − LV 4 (with QuickTables)
This course covers the topics shown below.
Students navigate learning paths based on their level of readiness.
Institutional users may customize the scope and sequence to meet curricular needs.
Curriculum (197 topics + 18 additional topics)
Number Sense, Addition, and Subtraction (29 topics)
Expanded Form and Numeral Translation (6 topics)
à Whole number place value: Problem type 1
à Whole number place value: Problem type 2
à Expanded form
à Expanded form with zeros
à Numeral translation: Problem type 1
à Numeral translation: Problem type 2
¨
Rounding and Ordering (5 topics)
à Introduction to inequalities
à Ordering large numbers
à Rounding to tens or hundreds
à Rounding to hundreds or thousands
à Rounding to thousands, ten thousands, or hundred thousands
¨
Addition (7 topics)
à Single digit addition with carry
à Addition of 3 or 4 single−digit numbers
à Adding a 2−digit number and a 1−digit number with carry
à Addition without carry
à Addition with carry
à Addition with carry to the hundreds place
à Addition of large numbers
¨
Subtraction (7 topics)
à Subtracting a 1−digit number from a 2−digit number
à Subtraction without borrowing
à Subtraction with borrowing
à Adding or subtracting 10, 100, or 1000
à Subtraction with multiple regrouping steps
à Subtraction and regrouping with zeros
à Word problem using addition or subtraction
¨
Estimation (2 topics)
à Estimating a sum
à Estimating a difference
¨
Fact Families and Properties of Addition (2 topics)
à Fact families for addition and subtraction
à Introduction to properties of addition
¨
·
Multiplication and Division (44 topics)
Multiplication (15 topics)
à One−digit multiplication
¨
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à Multiplication by 10, 100, and 1000
à Understanding multiplication of a one−digit number with a larger number
à Multiplication without carry
à Multiplication with carry
à Multiplication with trailing zeros: Problem type 1
à Multiplication as repeated addition
à Using multiplication to find the number of squares
à Using addition and multiplication to count the objects on a grid
à Multiples: Problem type 1
à Multiples: Problem type 2
à Introduction to multiplication of large numbers
à Multiplication with trailing zeros: Problem type 2
à Multiplication of large numbers
à Word problem with multiple operations
Division (12 topics)
à Simple division
à Division without carry
à Division with carry
à Division with trailing zeros: Problem type 1
à Division involving quotients with intermediate zeros
à Quotient and remainder: Problem type 1
à Word problem on quotient and remainder
à Quotient and remainder: Problem type 2
à Basic word problem using multiplication or division
à Quotient and remainder: Problem type 3
à Division with trailing zeros: Problem type 2
à Word problem using division
¨
Estimation and Order of Operations (5 topics)
à Estimating a product
à Estimating a quotient
à Introduction to parentheses
à Introduction to order of operations
à Order of operations: Problem type 1
¨
Fact Families, Properties of Multiplication, and Sequences (5 topics)
à Comparing a simple numerical expression with a number
à Fact families for multiplication and division
à Filling in missing operations to make an equation
à Introduction to properties of multiplication
à Finding the next terms of a simple sequence
¨
Divisibility Rules, Factors, and Prime Numbers (7 topics)
à Even and odd numbers
à Divisibility rules for 2, 5, and 10
à Factors
à Greatest common factor
à Least common multiple
à Prime numbers
à Prime factorization
¨
Fractions, Time, and Customary Measurement (36 topics)
Equivalent Fractions (5 topics)
à Introduction to fractions
à Understanding equivalent fractions
à Equivalent fractions
à Introduction to simplifying a fraction
¨
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à Simplifying a fraction
Ordering and Plotting Fractions (4 topics)
à Ordering fractions with same denominator
à Ordering fractions with same numerator
à Ordering fractions
à Fractional position on a number line
¨
Operations with Fractions (7 topics)
à Addition or subtraction of fractions with the same denominator
à Addition and subtraction of simple unit fractions
à Introduction to addition or subtraction of fractions with different denominators
à Addition or subtraction of fractions with different denominators
à Fractional part of a circle
à Product of a unit fraction and a whole number
à Product of a fraction and a whole number
¨
Mixed Numbers (5 topics)
à Writing a mixed number and an improper fraction for a shaded region
à Writing an improper fraction as a mixed number
à Writing a mixed number as an improper fraction
à Addition or subtraction of mixed numbers with same denominator
à Addition of mixed numbers with same denominator and carry
¨
Time (7 topics)
à Telling time
à Time unit conversion with whole number values
à Reading a calendar
à Introduction to adding time
à Adding time
à Introduction to elapsed time
à Elapsed time
¨
Customary Measurement (8 topics)
à Choosing a measuring tool
à Choosing customary measurement units
à Reading a positive temperature from a thermometer
à Measuring length to the nearest inch
à Measuring length to the nearest quarter or half inch
à Conversions involving measurements in feet and inches
à Customary unit conversion with whole number values
à Customary unit conversion with whole number values, two−step conversion
¨
Decimals, Money, and Metric Measurement (25 topics)
Money (2 topics)
à Finding the value of a collection of coins
à Finding the value of a collection of bills and coins
¨
Decimal Place Value (10 topics)
à Writing a decimal and a fraction for a shaded region
à Tenths and hundredths decimal place value
à Decimal place value
à Rounding decimals
à Introduction to ordering decimals
à Ordering decimals
à Introduction to writing a decimal as a fraction
à Converting a decimal to a fraction
à Introduction to converting a fraction to a decimal
à Converting a decimal to a mixed number
¨
¨ Addition and Subtraction of Decimals (8 topics)
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à Addition of aligned decimals
à Addition with money
à Decimal addition
à Subtraction of aligned decimals
à Subtraction with money
à Word problem with one decimal operation: Problem type 1
à Word problem with one decimal operation: Problem type 2
à Estimating a decimal sum or difference
Percents (1 topics)
à Introduction to percent
¨
Metric Measurement (4 topics)
à Choosing metric measurement units
à Measuring length to the nearest centimeter
à Metric distance conversion with whole number values
à Metric mass or capacity conversion with whole number values
¨
Geometry (32 topics)
Lines and Angles (5 topics)
à Naming segments, rays, and lines
à Identifying parallel and perpendicular lines
à Measuring an angle with the protractor
à Drawing an angle with the protractor
à Acute, obtuse, and right angles
¨
Polygons (15 topics)
à Naming polygons
à Acute, obtuse, and right triangles
à Scalene, isosceles, and equilateral triangles
à Identifying parallelograms, rectangles, and squares
à Perimeter of a square or a rectangle
à Perimeter of a polygon
à Sides of polygons having the same perimeter
à Finding the missing length in a figure
à Perimeter of a piecewise rectangular figure
à Perimeter and area on a grid
à Area of a square or a rectangle
à Distinguishing between area and perimeter
à Areas of rectangles with the same perimeter
à Area of a piecewise rectangular figure
à Finding simple patterns in shapes
¨
Circles (1 topics)
à Introduction to circle: diameter, radius, and chord
¨
Volumes (5 topics)
à Volume of a cube or a rectangular prism
à Volume of a solid made of unit cubes
à Classifying solids
à Vertices, edges, and faces of a solid
à Nets of solids
¨
Similarity, Congruence, and Transformations (6 topics)
à Introduction to congruence
à Introduction to similarity
à Introduction to translations
à Introduction to reflections
à Identifying transformations
à Drawing lines of symmetry
¨
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Algebra, Graphs, and Probability (31 topics)
Data and Graphs (10 topics)
à Bar graphs for non−numerical data
à Line plots
à Interpreting tally tables
à Interpreting pictograph tables
à Interpreting bar graphs
à Double bar graphs
à Interpreting line graphs
à Interpreting a stem−and−leaf plot
à Finding the mode and range of a data set
à Mean and median of a data set
¨
Counting and Probability (6 topics)
à Tree diagrams
à Introduction to the counting principle
à Classifying likelihood
à Introduction to probability of an event
à Probability of an event
à Venn diagrams with two sets
¨
Negative Integers (2 topics)
à Reading the temperature from a thermometer
à Plotting integers on a number line
¨
Variable Expressions and Equations (6 topics)
à Evaluating a simple algebraic expression: Problem type 1
à Evaluating a simple algebraic expression: Problem type 2
à Evaluating a simple algebraic expression: Problem type 3
à Additive property of equality with whole numbers
à Solving simple equations with multiplication or division
à Writing simple variable expressions
¨
Functions and Graphs (7 topics)
à Function tables with one−step rules
à Function tables with two−step rules
à Describing data patterns
à Finding a function rule: Problem type 1
à Reading a point in quadrant 1
à Plotting a point in quadrant 1
à Graphing a line in quadrant 1
¨
·
Other Topics Available(*) (18 additional topics)
Multiplication and Division (3 topics)
à Order of operations: Problem type 2
à Understanding the distributive property
à Divisibility rules for 3 and 9
¨
Fractions, Time, and Customary Measurement (3 topics)
à Plotting fractions on a number line
à Subtraction of mixed numbers with same denominator and borrowing
à Adding customary units of length
¨
Decimals, Money, and Metric Measurement (1 topics)
à Measuring length to the nearest millimeter
¨
Geometry (3 topics)
à Sum of the angle measures of a triangle
à Classifying quadrilaterals
¨
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à Estimates and exact answers
Algebra, Graphs, and Probability (8 topics)
à Histograms for numerical data
à Mode of a data set
à Mean of a data set
à Understanding likelihood
à Writing a signed number for a real−world situation
à Ordering integers
à Multiplicative property of equality with whole numbers
à Graphing whole number functions
¨
(*) Other Topics Available
By default, these topics are NOT included in the course, but can be added using the content editor in the Teacher
Module.
QuickTables
ALEKS QuickTables is a research−based, math fact mastery program for multiplication, division, addition, and
subtraction for grades 3 and up. The online program offers ongoing assessment, learning, review, and visual tracking
of student progress.
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