# Mathematics LV 4 (with QuickTables)

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2 Subtraction and regrouping with zeros Word problem with addition or subtraction of whole numbers Properties of Addition and Fact Families (2 topics) Introduction to properties of addition Fact families for addition and subtraction Estimating Sums and Differences (4 topics) Estimating a sum of whole numbers: Problem type 1 Estimating a sum of whole numbers: Problem type 2 Estimating a difference of whole numbers: Problem type 1 Estimating a difference of whole numbers: Problem type 2 Multiplying Whole Numbers (27 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 and Introduction to Area (4 topics) Using multiplication to find the number of squares Multiplying 2 digit and 1 digit numbers without regrouping Area of a rectangle on a grid Area of a rectangle with one digit side lengths Multiplying by Multiples of 10, 100, and 1000 (3 topics) Multiplication by 10, 100, and 1000 Introduction to multiplication with a trailing zero Multiplication with trailing zeros: Problem type 1 Properties of Multiplication (4 topics) Using the distributive property to multiply two whole numbers Introduction to properties of multiplication Multiples: Problem type 1 Multiples: Problem type 2 Multiplying by One Digit Numbers (6 topics) 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 using an area model Multiplying a multi digit and a 1 digit number using an area model Multiplying by Multi Digit Numbers (1 topics) Introduction to multiplication of large numbers Comparisons and Word Problems Involving Multiplication (3 topics) Word problem with multiplication of whole numbers Multiplicative comparison involving groups of objects Word problem involving multiplicative or additive comparison Estimating Products (1 topics) Estimating a product Dividing Whole Numbers (21 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 (3 topics) Copyright 2019 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 2/9

3 Word problem with division of whole numbers Word problem with multiplication or division of whole numbers Word problem with multiplication and addition or subtraction of whole numbers Dividing Two Digit Dividends (5 topics) 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 Interpreting Remainders (2 topics) Word problem on quotient and remainder Word problem with division of whole numbers and rounding: Problem type 1 Dividing Multiples of 10, 100, and 1000 (1 topics) Division with trailing zeros: Problem type 1 Dividing Three and Four Digit Dividends (5 topics) 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 Estimating Quotients (1 topics) Estimating a quotient Expressions and Equations (12 topics) Patterns and Sequences (5 topics) 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 Order of Operations (1 topics) Introduction to parentheses Evaluating and Writing Expressions (3 topics) Evaluating an algebraic expression: Whole number addition or subtraction Evaluating an algebraic expression: Whole number multiplication or division Division of whole numbers given in fractional form Solving Addition and Subtraction Equations (1 topics) Additive property of equality with whole numbers Solving Multiplication and Division Equations (2 topics) Introduction to solving an equation with multiplication or division Writing an equation and solving a multiplicative comparison word problem Fraction Equivalence (24 topics) Prime Numbers and Factors (4 topics) Even and odd numbers Divisibility rules for 2, 5, and 10 Factors Prime numbers Fractions of a Whole (2 topics) Introduction to unit fractions Introduction to non unit fractions Equivalent Fractions (10 topics) Understanding equivalent fractions: Problem type 1 Understanding equivalent fractions: Problem type 2 Modeling and writing equivalent fractions Copyright 2019 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 3/9

5 Subtraction with money Measurement (20 topics) 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 Converting with U.S. Customary Units of Length (1 topics) Conversion table with U.S. Customary length Converting with U.S. Customary Units of Volume and Weight (2 topics) Conversion table with U.S. Customary weight Conversion table with U.S. Customary volume Measuring with Metric Units (4 topics) Choosing metric measurement units Measuring length to the nearest centimeter Word problem involving metric mass or volume: Addition or subtraction Word problem involving metric mass or volume: Multiplication or division Converting with Metric Units (2 topics) Conversion table with metric distance Conversion table with metric mass or volume Measurements of Time (5 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 Word problem on elapsed time more than one hour Line Plots (3 topics) Interpreting a tally table Constructing a line plot Constructing a line plot with fractional values: Fourths Perimeter and Area (11 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 (1 topics) Word problem on finding the perimeter of a rectangle Area of Rectangles (2 topics) Relating the area of a rectangle to multiplying its side lengths Area of a rectangle with two digit by one digit side lengths Applications Involving Area (1 topics) Word problem involving the area of a rectangle: Problem type 1 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 (13 topics) Segments, Rays, and Lines (1 topics) Naming segments, rays, and lines Parallel and Perpendicular Lines (1 topics) Identifying parallel and perpendicular lines Classifying and Measuring Angles (4 topics) Classifying angles as smaller than right, right, larger than right Copyright 2019 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 5/9

6 Acute, obtuse, and right angles Measuring an angle with the protractor Drawing an angle with the protractor Finding Angle Measures (2 topics) Introduction to angle addition Finding an angle measure in a figure with a right or straight angle Classifying Triangles (2 topics) Acute, obtuse, and right triangles Classifying scalene, isosceles, and equilateral triangles by side lengths Quadrilaterals (2 topics) Shared attributes among categories of quadrilaterals Identifying parallelograms, rectangles, and squares Symmetry and Transformations (1 topics) Drawing lines of symmetry Other Topics Available(*) (153 additional topics) Whole Number Place Value, Addition, and Subtraction (3 topics) Numeral translation: Problem type 2 Addition or subtraction with 10 or 100 Addition or subtraction with 10, 100, or 1000 Multiplying Whole Numbers (6 topics) Using addition and multiplication to count the objects on a grid Using an area model to represent the distributive property Comparing a numerical expression with a number Multiplication of large numbers Multiplication with trailing zeros: Problem type 2 Writing a multiplication shown in a picture Dividing Whole Numbers (10 topics) Writing a division shown in a picture Whole number division: 2 digit by 2 digit, no remainder Filling in missing operations to make an equation Division with remainder involving quotients with intermediate zeros: Problem type 2 Division with trailing zeros: Problem type 2 Whole number division: 3 digit by 2 digit, no remainder Division with no remainder and a two digit divisor: Problem type 2 Division with remainder and a two digit divisor: Problem type 1 Division with remainder and a two digit divisor: Problem type 2 Word problem with division of whole numbers and rounding: Problem type 2 Expressions and Equations (15 topics) Introduction to order of operations Introduction to the distributive property Understanding the distributive property Order of operations with whole numbers Order of operations with whole numbers and grouping symbols Comparing numerical expressions with parentheses Evaluating an algebraic expression: Whole numbers with two operations Evaluating a formula Writing a one step expression for a real world situation Translating a phrase into a one step expression Identifying solutions to a one step linear equation: Problem type 1 Identifying solutions to a one step linear equation: Problem type 2 Multiplicative property of equality with whole numbers Copyright 2019 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 6/9

9 Average of two numbers Mean of a data set Mean and median of a data set Finding outliers in a data set Interpreting a stem and leaf plot Interpreting a Venn diagram of 2 sets Interpreting a tree diagram Introduction to the counting principle Classifying likelihood Introduction to the probability of an event Probability of an event Understanding likelihood 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 Introduction to converting a percentage to a decimal Introduction to converting a decimal to a percentage Plotting integers on a number line Ordering integers Reading a positive temperature from a thermometer Reading the temperature from a thermometer Writing a signed number for a real world situation *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 2019 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 9/9

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### Gain familiarity with factors and multiples. Use place value understanding and properties of operations to perform multi-digit arithmetic.

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### Number/Computation. addend Any number being added. digit Any one of the ten symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9

14 Number/Computation addend Any number being added algorithm A step-by-step method for computing array A picture that shows a number of items arranged in rows and columns to form a rectangle associative

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