# Mathematics LV 3 (with QuickTables)

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2 Subtraction of 2 digit numbers with regrouping Subtraction with multiple regrouping steps involving 3 digit numbers Word problem with addition or subtraction of whole numbers Estimating Differences (1 topics) Estimating a difference of whole numbers: Problem type 1 Expressions and Solving Equations (1 topics) Additive property of equality with whole numbers Multiplying Whole Numbers (12 topics) Multiplication Facts and Repeated Addition (5 topics) Using equal groups to find a total Multiplying one digit numbers: Problem type 1 Multiplying one digit numbers: Problem type 2 Multiplication as repeated addition Writing addition and multiplication sentences for equal groups Rectangular Arrays (1 topics) Using multiplication to find the number of squares Word Problems Involving Multiplication (2 topics) Word problem with multiplication of whole numbers Writing a multiplication shown in a picture Multiplying by Multiples of 10, 100, and 1000 (1 topics) Introduction to multiplication with a trailing zero Properties of Multiplication (3 topics) Using the distributive property to multiply two whole numbers Multiples: Problem type 1 Multiples: Problem type 2 Dividing Whole Numbers (8 topics) Division Facts (4 topics) Division facts: Problem type 1 Division facts: Problem type 2 Relating multiplication and division facts Fact families for multiplication and division Word Problems Involving Division (2 topics) Word problem with division of whole numbers Writing a division shown in a picture Order of Operations and Solving Equations (2 topics) Introduction to parentheses Introduction to solving an equation with multiplication or division Fractions (9 topics) Fractions of a Whole (2 topics) Introduction to unit fractions Introduction to non unit fractions Understanding Equivalent Fractions with Models (3 topics) Understanding equivalent fractions: Problem type 1 Modeling and writing equivalent fractions Conversions involving division in fractional form and whole numbers Fractions on the Number Line (2 topics) Position of fractions on a number line Plotting fractions using a number line Ordering Fractions (2 topics) Comparing fractions with the same denominator Comparing fractions with the same numerator Measurement (13 topics) Telling Time (3 topics) Copyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 2/7

3 Telling time: Minutes are a multiple of 5 Telling time: Minutes are not a multiple of 5 Telling time and determining AM or PM Time Intervals (4 topics) Word problem involving adding or subtracting time within the hour Introduction to adding time Word problem on elapsed time within the hour Word problem on elapsed time less than one hour Solving Problems with Metric Units of Volume and Mass (3 topics) Choosing metric measurement units Word problem involving metric mass or volume: Addition or subtraction Word problem involving metric mass or volume: Multiplication or division Measuring with U.S. Customary Units (3 topics) Choosing U.S. Customary measurement units Measuring length to the nearest inch Measuring length to the nearest quarter or half inch Representing and Interpreting Data (6 topics) Pictographs (2 topics) Interpreting a tally table Introduction to interpreting a pictograph Bar and Line Graphs (2 topics) Constructing a bar graph for non numerical data Interpreting a bar graph Line Plots (2 topics) Constructing a line plot Constructing a line plot with fractional values: Fourths Perimeter and Area (14 topics) Perimeter (4 topics) Perimeter of a polygon Perimeter of a rectangle on a grid Perimeter of a square or a rectangle Finding the missing length in a figure Applications Involving Perimeter (2 topics) Word problem on finding the perimeter of a rectangle Finding an unknown side length of a polygon given the perimeter Area of Rectangles (3 topics) Area of a rectangle on a grid Area of a rectangle with one digit side lengths Relating the area of a rectangle to multiplying its side lengths Applications Involving Area of Rectangles (2 topics) Word problem involving the area of a rectangle: Problem type 1 Using an area model to represent the distributive property Area of Composite Figures (3 topics) Finding the area of a composite figure on a grid Introduction to area of a piecewise rectangular figure Word problem on finding the area of a piecewise rectangular figure Geometry (3 topics) Segments, Rays, and Lines (1 topics) Identifying parallel and perpendicular lines Classifying Angles and Triangles (1 topics) Classifying angles as smaller than right, right, larger than right Quadrilaterals (1 topics) Shared attributes among categories of quadrilaterals Copyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 3/7

4 Other Topics Available(*) (145 additional topics) Whole Number Place Value (6 topics) Whole number place value: Problem type 2 Numeral translation: Problem type 2 Expanded form with zeros Ordering large numbers Rounding to hundreds or thousands Rounding to thousands, ten thousands, or hundred thousands Adding Whole Numbers (3 topics) Adding 3 numbers with two, three, and four digits Estimating a sum of whole numbers: Problem type 2 Introduction to properties of addition Subtracting Whole Numbers (6 topics) Addition or subtraction with 10 or 100 Addition or subtraction with 10, 100, or 1000 Subtraction with multiple regrouping steps involving 4 digit numbers Subtraction and regrouping with zeros Estimating a difference of whole numbers: Problem type 2 Evaluating an algebraic expression: Whole number addition or subtraction Multiplying Whole Numbers (15 topics) Multiplying 2 digit and 1 digit numbers without regrouping Using addition and multiplication to count the objects on a grid Multiplicative comparison involving groups of objects Word problem involving multiplicative or additive comparison Multiplication by 10, 100, and 1000 Multiplication with trailing zeros: Problem type 1 Introduction to properties of multiplication Comparing a numerical expression with a number Multiplying 2 digit and 1 digit numbers with regrouping: Problem type 1 Multiplying 2 digit and 1 digit numbers with regrouping: Problem type 2 Understanding multiplication of a one digit number with a larger number Multiplying multi digit and 1 digit numbers with regrouping Introduction to multiplication of large numbers Multiplication with trailing zeros: Problem type 2 Estimating a product Dividing Whole Numbers (32 topics) Word problem with multiplication or division of whole numbers Word problem with multiplication and addition or subtraction of whole numbers Introduction to order of operations Introduction to the distributive property Evaluating an algebraic expression: Whole number multiplication or division Writing a one step expression for a real world situation Division without regrouping Division with regrouping: 1 digit divisor, 2 digit dividend Quotient with remainder: 1 digit divisor, 2 digit dividend Writing a division sentence for equal groups Writing a division sentence for equal groups and a remainder Whole number division: 2 digit by 2 digit, no remainder Word problem on quotient and remainder Word problem with division of whole numbers and rounding: Problem type 1 Filling in missing operations to make an equation Copyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 4/7

5 Division with trailing zeros: Problem type 1 Division with regrouping: 1 digit divisor, 3 digit or 4 digit dividend Quotient with remainder: 1 digit divisor, 3 digit or 4 digit dividend Division involving quotients with intermediate zeros: Problem type 1 Division involving quotients with intermediate zeros: Problem type 2 Division with remainder involving quotients with intermediate zeros: Problem type 1 Division with remainder involving quotients with intermediate zeros: Problem type 2 Division with trailing zeros: Problem type 2 Estimating a quotient Describing an increasing or decreasing pattern from a table of values Function tables with one step rules 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 Factors Even and odd numbers Divisibility rules for 2, 5, and 10 Fractions (16 topics) Understanding equivalent fractions: Problem type 2 Division of whole numbers given in fractional form Introduction to finding equivalent fractions: Multiplying Introduction to finding equivalent fractions: Dividing Writing a fraction with denominator 10 as a fraction with denominator 100 Equivalent fractions Introduction to simplifying a fraction Product of a unit fraction and a whole number Addition or subtraction of fractions with the same denominator Addition or subtraction of fractions with the same denominator and simplification Word problem involving addition or subtraction of fractions with the same denominator 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 Position of mixed numbers on a number line Plotting mixed numbers on a number line Measurement (17 topics) Word problem on elapsed time more than one hour Reading a calendar Time unit conversion with whole number values Measuring length to the nearest centimeter Conversion table with metric distance Metric distance conversion with whole number values Conversion table with metric mass or volume Metric mass or volume conversion with whole number values Choosing a measuring tool Reading a positive temperature from a thermometer Conversion table with U.S. Customary length U.S. Customary length conversion with whole number values Conversions involving measurements in feet and inches Conversion table with U.S. Customary weight Conversion table with U.S. Customary volume U.S. Customary volume conversion with whole number values U.S. Customary weight conversions with whole number values Representing and Interpreting Data (10 topics) Copyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 5/7

6 Interpreting a pictograph table Interpreting a line graph Finding the mode and range of a data set Finding the mode and range from a line plot Interpreting a Venn diagram of 2 sets Introduction to the counting principle Classifying likelihood Introduction to the probability of an event Reading a point in quadrant 1 Plotting a point in quadrant 1 Perimeter and Area (7 topics) Perimeter of a piecewise rectangular figure Area of a rectangle with two digit by one digit side lengths Area of a piecewise rectangular figure Classifying solids Vertices, edges, and faces of a solid Nets of solids Volume of a rectangular prism made of unit cubes Geometry (9 topics) Naming segments, rays, and lines Acute, obtuse, and right angles Acute, obtuse, and right triangles Naming polygons Identifying parallelograms, rectangles, and squares Drawing lines of symmetry Identifying congruent shapes on a grid Identifying similar or congruent shapes on a grid Identifying transformations Decimals (24 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 and a fraction for a shaded region Converting a fraction with a denominator of 10 or 100 to a decimal Converting a decimal to a proper fraction without simplifying: Basic Reading decimal position on a number line: Tenths Reading decimal position on a number line: Hundredths Introduction to ordering decimals Ordering decimals Finding the value of a collection of coins Finding the value of a collection of bills and coins Addition with money Subtraction with money Addition of decimals: Vertically aligned Decimal addition with 2 numbers Decimal addition with 3 numbers Word problem with addition of 3 or 4 decimals and whole numbers Subtraction of aligned decimals Decimal subtraction: Basic Decimal subtraction: Advanced Word problem with addition or subtraction of 2 decimals Word problem with subtraction of a whole number and a decimal: Regrouping with zeros Copyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 6/7

7 *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. Copyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 7/7

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