Worksheets and Walkthroughs


Math Video Walkthroughs and Printable Worksheets
Based on the National Common Core State Standards and Singapore Methods.
For Teachers, Students, Parents, Tutors, and Homeschoolers, Grades 3-5.


Worksheets




4th Grade Common Core

(WP = Word Problems)



Adding and Subtracting Mixed Numbers with Like Denominators

WP - Mixed Numbers, 4.NF.3.c

WP - Mixed Numbers, 4.NF.3.c

WP - Mixed Numbers, 4.NF.3.c

WP - Mixed Numbers, 4.NF.3.c

WP - Mixed Numbers, 4.NF.3.c

WP - Mixed Numbers, 4.NF.3.c


Addition of Fractions

WP - Addition of Fractions, 4.NF.3.d

WP - Addition of Fractions, 4.NF.3.d

WP - Addition of Fractions, 4.NF.3.d

WP - Addition of Fractions, 4.NF.3.d

WP - Addition of Fractions, 4.NF.3.d

WP - Addition of Fractions, 4.NF.3.d


Area and Perimeter

WP - Area and Perimeter 4.MD.3

WP - Area and Perimeter 4.MD.3

WP - Area and Perimeter 4.MD.3

WP - Area and Perimeter 4.MD.3

WP - Area and Perimeter 4.MD.3

WP - Area and Perimeter 4.MD.3


Comparing Fractions With Unlike Denominators

WP - Fractions, 4.NF.2

WP - Fractions, 4.NF.2

WP - Fractions, 4.NF.2

WP - Fractions, 4.NF.2

WP - Fractions, 4.NF.2

WP - Fractions, 4.NF.2

WP - Fractions, 4.NF.2


Comparing Multi-Digit Whole Numbers

WP - Addition, 4NBT2, 4OA3

WP - Add/Sub, 4NBT2, 4OA3


Decomposing Fractions

WP - Fractions, 4.NF.3b

WP - Fractions, 4.NF.3b


Decomposing Mixed Numbers

WP - Mixed Numbers, 4.NF.3b

WP - Mixed Numbers, 4.NF.3b


Division of Whole Numbers -

No Remainders

WP - Division, 4.NBT.6

WP - Division, 4.NBT.6

WP - Division, 4.NBT.6

WP - Division, 4.NBT.6


Division of Whole Numbers -

With Remainders

WP - Division, 4.NBT.6

WP - Division, 4.NBT.6

WP - Division, 4.NBT.6

WP - Division, 4.NBT.6

WP - Division, 4.NBT.6


Equivalent Fractions

WP - Equiv Fracs, 4.NF.1

WP - Equiv Fracs, 4.NF.1

WP - Equiv Fracts, 4.NF.1

WP - Equiv Fracs, 4.NF.1

WP - Equiv Fracs, 4.NF.1

WP - Equiv Fracs, 4.NF.1


Geometry

WP, Geometry, Lines 4.G

WP, Geometry, Lines 4.G

WP, Geometry, Triangles 4.G

WP, Geometry, Triangles 4.G


Measurements

WP, Unit Conversions 4.MD.1, 4.MD.2

WP, Unit Conversions 4.MD.1, 4.MD.2

WP, Conversions 4.MD.1, 4.MD.2

WP, Conversions 4.MD.1, 4.MD.2


Measurements and Data

WP, Elapsed Time 4.MD.2

WP, Elapsed Time 4.MD.2

WP, Line Plots 4.MD.4

WP, Line Plots 4.MD.4

WP, Line Plots 4.MD.4

WP, Time 4.MD.2

WP, Time 4.MD.2


Money

WP, Add/Sub, no decimals, 4NBT2, 4OA3

WP, Add/Sub, 4NBT2, 4OA3


Multiplication of Whole Numbers

WP, Multiplication 4.NBT.5

WP, Multiplication 4.NBT.5

WP, Multiplication 4.NBT.5

WP, Multiplication 4.NBT.5

WP, Multiplication 4.NBT.5

WP, Multiplication 4.NBT.5

WP, Multiplication 4.NBT.5

WP, Multiplication 4.NBT.5

WP, Multiplication 4.NBT.5

WP, Multiplication 4.NBT.5

WP, Multiplication 4.NBT.5


Multiplying Fractions by a Whole Number

WP, Multiplying Fractions 4.NF.4

WP, Multiplying Fractions 4.NF.4

WP, Multiplying Fractions 4.NF.4

WP, Multiplying Fractions 4.NF.4

WP, Multiplying Fractions 4.NF.4

WP, Multiplying Fractions 4.NF.4

WP, Multiplying Fractions 4.NF.4


Place Value - Rounding

Word Problems, 4-NBT-3

Word Problems, 4-NBT-3, 4-OA-3


Rounding Multi-Digit Whole Numbers

WP, Multi-Digit Numbers 4.NBT.3

WP, Multi-Digit Numbers 4.NBT.3


Subtracting Fractions

WP, Subtracting Fractions 4.NF.3.d

WP, Subtracting Fractions 4.NF.3.d

WP, Subtracting Fractions 4.NF.3.d

WP, Subtracting Fractions 4.NF.3.d

WP, Subtracting Fractions 4.NF.3.d


Tape Diagram and Model Drawings

WP, Add, Sub 4.NBT.4

WP, Add, Sub 4.NBT.4

WP, Add, Sub 4.NBT.4

WP, Add, Sub, Mul, Div 4.NBT.4, 4.NBT.5


Working Backwards With Addition, Subtraction, Multiplication, and Division

WP, Add, Sub, Mul, Div 4.OA.3

WP, Add, Sub, Mul, Div 4.OA.3

WP, Add, Sub, Mul, Div 4.OA.3

WP, Add, Sub, Mul, Div 4.OA.3

WP, Add, Sub, Mul, Div 4.OA.3

WP, Add, Sub, Mul, Div 4.OA.3


Working Backwards With Fractions

WP, Fractions 4.NF.3

WP, Fractions 4.NF.3





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Walkthroughs


Format: math video link, common core standard(s), Worksheet (pdf), Drill, Quiz

(Grade level is the first number in the common core standard. For example, 6.EE.A.2 is grade 6 content.)

Algebra Videos (AV)

  1. Algebra - Variables and Expressions, 6.EE.A.2, 5.OA.1, Worksheet
  2. Algebra - Writing Expressions that Record Calculations with Numbers, 5-OA-A-2, Worksheet
  3. Algebra - Function Machines - Input & Output Boxes, part one, 5-OA-3, Worksheet
  4. Algebra - Function Machines - Input & Output Boxes, Finding the Missing Output Value, 5-OA-3, Worksheet

Division Videos (DV)

  1. Multiplying and Dividing by Powers of 10
  2. Relating Place Value to Multiplying and Dividing by Powers of 10, 5.NBT.2, Worksheet
  3. Video Walkthrough of 2 Ways to Divide: Traditional vs. Partial Quotient
  4. Division - Traditional Long Division Algorithm Method Word Problems, 4-NBT-B-6, Worksheet
  5. Division - The Area Model Word Problems with Single Digit Divisors, 4-NBT-B-6, Worksheet
  6. Division - The Area Model Word Problems Part II with Double Digit Divisors,5-NBT-B-6, Worksheet
  7. Division - The Partial Quotient Word Problems with Double Digit Divisors,5-NBT-B-6, Worksheet
  8. Division - How Many Groups Can You Make?, 3.OA.A.2, 3.OA.A.3, 3.OA.A.4, 3.OA.A.6, Worksheet
  9. Division - How Many In Each Group?, 3.OA.A.2, 3.OA.A.3, 3.OA.A.4, 3.OA.A.6, Worksheet
  10. Division - On A Place Value Chart, Part 1: 4 Digit By 1 Digit, 4.NBT.B.5, 4.OA.A.2, Worksheet
  11. Division - On A Place Value Chart, Part 2: 4 Digit By 1 Digit (With Remainder), 4.NBT.B.5, 4.OA.A.2, Worksheet

Fact Fluency Videos (FFV)

  1. Fact Fluency - The Fact Fluency Data Collection Chart, 2-OA-B-2, 3-OA-C-7, 3-NBT-A-2, 4-NBT-B-4, 5-NBT-B-5, Worksheet

Fraction Videos (FrV)

  1. Converting Percents to Fractions to Decimals & Fractions to Decimals Review, 5.NBT.1, 5.NF.3, 5.NBT.7, Worksheet
  2. Converting Improper Fractions into Decimal Form, 5.NF.3, 5.NBT.7
  3. Converting Percents to Fractions to Decimals, 5.NBT.1, 5.NF.3
  4. Converting Improper Fractions to Mixed Numbers, 3.NF.3 (a)(b)(c), 4.NF.3 (b), 5.NF.3
  5. Converting Mixed Numbers Into Improper Fractions, 3.NF.3 (a)(b)(c), 4.NF.3 (b)
  6. Simplifying Fractions by Dividing by GCF, 4.NF.1
  7. Equivalent Fractions and Finding the Missing Numerator or Denominator, 3.OA.4, 3.OA.5, 3.NF.1, 3.NF.3 (a)(b), 4.NF.1, 4.NF.2
  8. Order of Operations with Fractions, 5.NF.1, 5.NF.4 (a), 5.OA.1
  9. Fraction Review #2, 5.NF.1, 5.NF.2, 5.NF.3, 5.NF.6
  10. Fraction Review #1, 5.NF.1, 5.NF.2, 5.NF.3, 5.nf.4, 5.NF.6, 5.NF.7
  11. Fraction Word Problems Part 4, 4.NF.3 (a)(b), 4.NF.4, 5.NF.1, 5.NF.2, 5.NF.4 (a), 5.NF.6
  12. Fraction Word Problems Add, Subtract, Multiply, or Divide Part 3, 5.NF.1, 5.NF.2, 5.NF.4(a), 5.NF.6
  13. More Fraction Word Problems, 5.NF.1, 5.NF.2, 5.NF.7
  14. Dividing by Fractions and Whole Numbers, 5.NF.7
  15. Working with Fractions and Mixed Numbers (add, subtract, or multiply), 5.NF.1, 5.NF.2, 5.NF.4 (a), 5.NF.6
  16. Subtracting Fractions Extended, 5.NF.1, 5.NF.2
  17. Multiplying Fractions Extended, 5.NF.4 (a), 5.NF.6
  18. Multiplying Fractions and Whole Numbers Extended, 4.NF.4, 5.NF.3, 5.NF.4 (a), 5.NF.6
  19. Name that Fraction!, 3.NF.1
  20. Packs of Paper Fraction Problem, 4.NF3, 4.NF4, 5.NF.3, 5.NF.4 (a), 5.NF.6
  21. Four Methods of Multiplying Fractions, 5.NF.4, 5.NF.5
  22. Multiplying Fractions by Whole Numbers (Pizza by the Fraction...Mama Mia!), 4.NF.4, 5.NF.3, 5.NF.4 (a), 5.NF.5, Worksheet
  23. The Pizza Topping Fraction Problem, 5.NF.4 a, 5.NF.6
  24. More Adding and Subtracting Fractions with Unlike Denominators, 5.NF.1, 5.NF.2, 5.NF.3
  25. Fractions on a Number Line, 3.NF.1, 3.NF.2, 3.NF.3 (a)(b)(c)
  26. Subtracting Fractions with Unlike Denominators (Pictorial/Array vs. Traditional Method), 5.NF.1, 5.NF.2
  27. Adding and Subtracting Fractions with Unlike Denominators (Pictorial vs. Traditional LCM Method), 5.NF.1, 5.NF.2
  28. Adding and Subtracting Fractions With Like Denominators , 4.NF.3 (a)
  29. 1/2 as a benchmark fraction, 4.NF.1, 4.NF.2, and 4.NF.3
  30. Fractions as Part of a set or group - part 2, 5.NF.3 and 5.NF.4
  31. Fractions as part of a set or group, 3.NF.1
  32. Fractions Part 1, 3.NF.1, 3.NF.3 (a), 3.NF.3(b)
  33. *** Special 5th Grade Fractions Module ***

    Please note that we start with 4th grade standards and build on prior knowledge before moving into 5th grade material. That's because 4th grade content will likely be assessed on the 5th grade assessment this year, since it was taught in 4th grade last year after the 4th grade assessment.

  34. Lesson 5-1-1 Understanding and Creating Equivalent Fractions, 4.NF.1, 4.NF.3c, 4.NF.3d Worksheet
  35. Lesson 5-1-2 Understanding and Creating Fractions Equivalent to One Third , 4.NF.1, 4.NF.3c, 4.NF.3d Worksheet
  36. Lesson 5-1-3 Understanding and Creating Fractions Equivalent to Two Thirds, 4-NF-1, 4-NF-3c, 4-NF-3d Worksheet
  37. Lesson 5-1-4 Understanding and Creating Fractions Greater Than One Whole, 4.NF.1, 4.NF.3c, and 4.NF.3d Worksheet
  38. Lesson 5-1-5 Adding Fractions with Like Denominators on a Number Line, 4.NF.1, 4.NF.3c, and 4.NF.3d Worksheet
  39. Lesson 5-1-6 Adding & Subtracting Fractions with Like Denominators Word Problems, 4.NF.B.3c and 4.NF.B.3d Worksheet
  40. Lesson 5-1-6a Subtracting Fractions and Mixed Numbers with Regrouping Word Problems, 4.NF.B.3 Worksheet
  41. Lesson 5-1-7 Adding Fractions with Unlike Denominators Word Problems, 5.NF.A.1, 5.NF.A.2 Worksheet
  42. Lesson 5-1-8 Subtracting Fractions with Unlike Denominators Word Problems, 5.NF.A.1, 5.NF.A.2 Worksheet
  43. Fractions Module Lesson 5-1-8a Subtracting Fractions & Mixed Numbers with Unlike Denominators and Regrouping, 5.NF.A.1, 5.NF.A.2 Worksheet
  44. Lesson 5-1-9a Multiplying Fractions and Whole Numbers -Word Problems, 4.NF.4, 5.NF.3, 5.NF.4(a), 5.NF.5 Worksheet
  45. Lesson 5-1-9b Multiplying Fractions By Whole Numbers - Word Problems, 4.NF.4, 5.NF.3, 5.NF.4(a), 5.NF.5 Worksheet
  46. Lesson 5-1-10a Multiplying Fractions Word Problems, 5.NF.B.4a Worksheet
  47. Lesson 5-1-10b Multiplying Fractions Word Problems, 5.NF.B.4a Worksheet
  48. Lesson 5-1-11a Dividing Fractions and Whole Numbers - Word Problems, 5.NF.B.7 Worksheet
  49. Lesson 5-1-11b Dividing Fractions and Whole Numbers - Word Problems, 5.NF.B.7 Worksheet

Function Videos (FuV)

  1. Function Machines Part 3
  2. (Two videos) Function Machines, Parts 1 and 2

Geometry Videos (GV)

  1. Volume of Cubes and Rectangular Prisms
  2. Coordinate Geometry - Ordered Pairs (in Quadrant I)
  3. Perimeter and Area of Squares and Rectangles
  4. Quadrilaterals - The 4 Sided Polygons
  5. Classifying Triangles by Angles and Sides....and Triangles - Finding the Missing Angle
  6. Measuring Angles Live!
  7. Geometry - Angles: right, Acute, Obtuse, and Straight
  8. Geometry Intro. Lines, Line Segments, and Rays

Line Plots Videos (LPV)

  1. Line Plots - Data Spread Across a Number Line", 5-MD-B-2, Worksheet

Multiplication Videos (MV)

  1. Multiplying Single Digit Numbers - Dog Bones and Bowls, 3.OA.1, Worksheet
  2. Multiplication - Multiplying Single Digit Numbers - Arrays & the Commutative Property, 3-OA-1, 3-OA-3, Worksheet
  3. Multiplying and Dividing by Powers of 10
  4. Place Value x 10 to the left x 1/10 to the right, 5.NBT.1
  5. Relating Place Value to Multiplying and Dividing by Powers of 10, 5.NBT.2, Worksheet
  6. 4 Ways to Multiply Multi-digit Numbers, 4-NBT-1, 4-NBT-2, 4-NBT-4, 4-NBT-5, 5-NBT-1, Worksheet
  7. Multiplying Multi-digit Numbers with the Distributive Grid Method, 4.NBT.1, 4.NBT.2, 4.NBT.4, 4.NBT.5, 5.NBT.1, Worksheet,Quiz
  8. Multiplication - The Distributive Grid Method Word Problems, 4-NBT-4, 4-NBT-5, 5-NBT-1, Worksheet
  9. Multiplication - Finding the GCF or Greatest Common Factor, 6-NS-B-4, Worksheet
  10. Multiplication - Finding the GCF part 2 Prime Factorization, 6-NS-B-4, Worksheet
  11. Multiplication - The Lattice Method, (4-NBT-1, 4-NBT-2, 4-NBT-4, 4-NBT-5, 5-NBT-1), Worksheet,Quiz
  12. Multiplication - The Traditional Algorithm Method, 4-NBT-1, 4-NBT-2, 4-NBT-4, 4-NBT-5, 5-NBT-1, Worksheet
  13. Multiplying Single Digit Numbers- Decomposing Factors & the Distributive Property, 3.OA.5, 3.OA.7, WorksheetDrill-L1
  14. Multiplying Single Digit Numbers - Tape Diagrams, Model Drawings, Number Bonds, 3.OA.3, 3.OA.5, Worksheet
  15. Multiplying Single Digit Numbers - Represented on a Place Value Chart, 3.NBT.A.2, 3.OA.A.3, Worksheet
  16. Multiplication - On a Place Value Chart, 4.NBT.B.5, 4.OA.A.2, Worksheet
  17. Multiplying Decimals - On a Place Value Chart, 5.NBT.B.7, Worksheet

Order of Operations Videos (OOV)

  1. Order of Operations - By Request
  2. Order of Operations with Fractions
  3. Order of Operations with Parentheses, Brackets, and Braces Part 2y, 5.OA.1, WorksheetDrill-L1
  4. Order of Operations with Parentheses, Brackets, and Braces, 5.OA.1, Worksheet
  5. Order of Operations - A Word Problem Written as an Expression with Parentheses, Brackets, and Braces, 5.OA.A.1, 5.OA.A.2, Worksheet
  6. Algebra - Variables and Expressions, 6.EE.A.2, 5.OA.1, Worksheet

Place Value Videos (PVV)

  1. Place Value - Standard Form Vs. Expanded Form, Part 1, 5.NBT.3, Worksheet
  2. Place Value - Making Sense of Decimals Through Thousandths, Part 2, 5.NBT.3, Worksheet
  3. Place Value - Comparing and Ordering Decimals, part 3, 5.NBT.3, Worksheet
  4. Place Value - Decimals on a Number Line, part 1, 5.NBT.4, Worksheet
  5. Place Value - Rounding Decimals, part 2, with Thousandths Grid, 5.NBT.4, Worksheet
  6. Place Value - Base Ten Numeral Form and Base Ten Exponent Form, 5.NBT.3, Worksheet
  7. Place Value x 10 to the left x 1/10 to the right, 5.NBT.1
  8. Multiplying Single Digit Numbers - Represented on a Place Value Chart, 3.NBT.A.2, 3.OA.A.3, Worksheet
  9. Multiplication - On a Place Value Chart, 4.NBT.B.5, 4.OA.A.2, Worksheet
  10. Multiplying Decimals - On a Place Value Chart, 5.NBT.B.7, Worksheet

Powers Videos (PV)

  1. Multiplying and Dividing by Powers of 10

Ratio Videos (RV)

  1. A Comparative Relationship Between Two Quantities or Values (Standard 6.RP.1)

Singapore Methods


Format: math video link, <corresponding worksheet

(Grade level is the first digit in the index number. For example, VPS 5-1 is grade 5 content.)


Visual Problem Solving (VPS)

  1. Visual Problem Solving - Singapore Style, VPS 5-1, , Worksheet
  2. Visual Problem Solving - Singapore Style, VPS 5-2, , Worksheet
  3. Visual Problem Solving - Singapore Style, VPS 5-3, , Worksheet
  4. Visual Problem Solving - Singapore Style, VPS 5-4, , Worksheet
  5. Visual Problem Solving - Singapore Style, VPS 5-5, , Worksheet

What's New at W&W




New Videos

    Division - On A Place Value Chart, Part 2: 4 Digit By 1 Digit (With Remainder)

    Added on 2/26/2014

    In this video walkthrough lesson, we continue our study of division on a place value chart as we tackle a division word problem with a remainder.

    Division - On A Place Value Chart, Part 1: 4 Digit By 1 Digit

    Added on 2/17/2014

    This video walkthrough demonstrates how to use a place value chart to solve a division story problem. This helps explain how and why the traditional method works.

    Multiplying Decimals - On a Place Value Chart

    Added on 12/13/2013

    This video walkthrough lesson with corresponding worksheets investigates what happens on a place value chart as we multiply a decimal by a single digit number in a story problem format. Place value disks are used to represent values on a place value chart.

    Multiplication - On a Place Value Chart

    Added on 12/11/2013

    This video walkthrough lesson with corresponding worksheets investigates what happens on a place value chart as we multiply a 4 digit number by a single digit number in a story problem format. Place value disks are used to represent values on a place value chart.

    Multiplying Single Digit Numbers - Represented on a Place Value Chart

    Added on 12/9/2013

    This video walkthrough lesson with corresponding worksheets investigates what happens on a place value chart as we multiply single digit numbers. Place value disks are used to represent values on a place value chart. Word or story problem strategies are also employed.

    Division - How Many In Each Group?

    Added on 11/13/2013

    This video walkthrough lesson with printable worksheets focuses on approaching division story problems in which the number in each group or equal shares is unknown. Inverse operations are discussed. Solutions are shown in the following representations; tape diagrams/model drawings, number bonds, arrays, equal groups, and skip counting (multiples). The numbers, pictures, and words strategy is employed

    Division - How Many Groups Can You Make?

    Added on 11/4/2013

    This video walkthrough lesson with printable worksheets focuses on approaching division story problems in which the number of groups or equal shares is unknown. Inverse operations are discussed. Solutions are shown in the following representations; tape diagrams/model drawings, number bonds, arrays, equal groups, and skip counting(multiples). The numbers, pictures, and words strategy is employed.

    Multiplying Single Digit Numbers - Tape Diagrams, Model Drawings, Number Bonds, 3.OA.3, 3.OA.5

    Added on 10/28/2013

    This video walkthrough lesson employs tape diagrams (model drawings) & number bonds to solve single digit multiplication word problems.

    Multiplying Single Digit Numbers - Decomposing Factors & the Distributive Property

    Added on 10/5/2013

    This video walkthrough lesson features decomposing factors and the distributive property to solve single digit multiplication word problems. Solutions are represented in numbers, pictures, & words.

    Multiplying Single Digit Numbers - Arrays & the Commutative Property

    Added on 9/21/2013

    This video walkthrough guides the students through two single digit multiplication word problems. Solutions are represented as arrays while proving the commutative property. A corresponding worksheet, "Multiplying Single Digit Numbers - Arrays-Word Problems", is also provided. You'll find it next to the video.

New Worksheets

    4th Grade Common Core Worksheets.

    Added on 8/23/2013

    Two each on Geometry, Triangles. You'll find them in the left column under Worksheets.

    Added on 8/19/2013, Our 100th 4th Grade Common Core Worksheet!

    Two each on Time, two on Elapsed Time, two on Geometry, and three each on Line Plots. You'll find them in the left column under Worksheets.

    Added on 8/15/2013

    Six each on Area and Perimeter. You'll find them in the left column under Worksheets.

    Added on 8/13/2013

    Six each on Working Backwards With Addition, Subtraction, Multiplication, and Division. You'll find them in the left column under Worksheets.

    Added on 8/12/2013

    Four each on Tape Diagram and Model Drawings, Addition, Subtraction, Multiplication Word Problems. You'll find them in the left column under Worksheets.

    Added on 8/9/2013

    Three each on Equivalent Fractions, and two each on Subtracting Fractions. You'll find them in the left column under Worksheets.

    Added on 8/8/2013

    Three each on Adding and Subtracting Mixed Numbers with Like Denominators. You'll find them in the left column under Worksheets.

    Added on 8/7/2013

    One each on Multiplying Fractions By Whole Numbers, and Working Backwards With Fractions. You'll find them in the left column under Worksheets.

    Added on 8/6/2013

    Four each on Multiplying Fractions By Whole Numbers, and one on Working Backwards With Fractions. You'll find them in the left column under Worksheets.

    Added on 8/5/2013

    Three each on Subtracting Fractions, two each on Multiplying Fractions by a Whole Number. You'll find them in the left column under Worksheets.

    Added on 8/1/2013

    Six each on Addition of Fractions, two each on Division of Whole Numbers, With Remainders, and one on Division of Whole Numbers, No Remainders. You'll find them in the left column under Worksheets.



New Online Drills

    Added on 10/20/2013

    Our first online drill is for Order of Operations. It uses two sets of parentheses and supports multiplication of single digit numbers, decomposing factors, and the distributive property. It represents rigor level 1 (L1), but future drills will advance in rigor (L2), etc. Drills reinforce the video and provide students with immediate practice. You'll find Drill-L1 here. (It also appears under Multiplication Videos, line #13.)



Math in the News




    How To Make Your Kids Smarter: 10 Steps Backed By Science, by ERIC BARKER

    Source: Time, March 4, 2014

    "Here are 10 things science says can help:

    (1) Music Lessons (2) The Dumb Jock Is A Myth (3) Don’t Read To Your Kids, Read With Them (4) Sleep Deprivation Makes Kids Stupid    (5) IQ Isn’t Worth Much Without Self-Discipline (6) Learning Is An Active Process (7) Treats Can Be a Good Thing — At The Right Time    (8) Happy Kids = Successful Kids (9) Peer Group Matters (10) Believe In Them"

    5-Year-Olds Can Learn Calculus, by LUBA VANGELOVA

    Source: The Atlantic, March 3, 2014

    "Droujkova, who earned her PhD in math education in the United States after immigrating here from Ukraine, advocates a more holistic approach she calls “natural math,” which she teaches to children as young as toddlers, and their parents. This approach, covered in the book she co-authored with Yelena McManaman, 'Moebius Noodles: Adventurous math for the playground crowd,' hinges on harnessing students’ powerful and surprisingly productive instincts for playful exploration to guide them on a personal journey through the subject."

    Why China’s Not Gloating About Topping Global Test Results, by CHAO DENG and WEI GU

    Source: The Wall Street Journal - China, December 6, 2013

    "Despite Shanghai’s students beating out a mix of other countries and cities, the Chinese have been some of the most vocal in pointing out that the education system here is too rigid and overly focused on rote-memorization."

    Universe Is Made Of Math, Cosmologist Says, by TANYA LEWIS

    Source: The Huffington Post, January 31, 2014

    "Scientists have long used mathematics to describe the physical properties of the universe. But what if the universe itself is math? That's what cosmologist Max Tegmark believes."

    Discovering the 'magic' of numbers at first Howard math festival, by SARA TOTH

    Source: The Baltimore Sun, January 31, 2014

    Festival designed to get kids excited about math: "I think anything that gets people jazzed about math is a worthwhile endeavor," Richman said. "The kids need to see math as more than textbooks and worksheets. They need to see it as a living, breathing thing from people who are passionate about it."

    America's Math Textbooks Are More Rigorous Than South Korea's, By ELEANOR BARKHORN

    Source: The Atlantic, January 15, 2014

    "But students in the U.S. still have much lower scores than their South Korean counterparts. Why?"

    How I Help All My Students to Be Good at Math, By ELIZABETH CLELAND

    Source: The Atlantic, December 2, 2013

    "A math teacher explains how she emphasizes effort over achievement."

    The Myth of 'I'm Bad at Math', By MILES KIMBALL and NOAH SMITH

    Source: The Atlantic, October 28, 2013

    "Basic ability in the subject isn't the product of good genes, but hard work."

    In Math and Science, the Best Fend for Themselves, By THE EDITORIAL BOARD

    Source: The New York Times, December 14, 2013

    Most schools do not have challenging curriculums for the 6% of American students who are gifted.

    Inspiring Students in Math and Science

    Source: The New York Times, December 9, 2013

    Letters to the editor regarding the December 7th editorial “Who Says Math Has to Be Boring?”

    Teachers Tell Us How to Fix Science and Math, By DAVID FIRESTONE

    Source: The New York Times, December 9, 2013

    Can’t We Do Better?, By THOMAS L. FRIEDMAN

    Source: The New York Times, December 7, 2013

    Commentary on the latest PISA (Program for International Student Assessment) test.

    Who Says Math Has to Be Boring?, By THE EDITORIAL BOARD

    Source: The New York Times, December 7, 2013

    Four ideas for improving math education.

    American 15-Year-Olds Lag, Mainly in Math, on International Standardized Tests, By MOTOKO RICH

    Source: The New York Times, December 3, 2013

    "As in previous years, the scores of students in Shanghai, Hong Kong, Singapore, Japan and South Korea put those school systems at the top of the rankings for math, science and reading. Finland, a darling of educators, slid in all subjects but continued to outperform the averages, and the United States."

    With Apps, Children Can Play the Game of Math, By KIT EATON

    Source: The New York Times, November 13, 2013

    "Children can learn math skills, from addition to algebra, through an array of apps for tablets and smartphones."

    Common Core implementation called ‘worse’ than Healthcare.gov launch, By VALERIE STRAUSS

    Source: The Washington Post, November 8, 2013

    "Whether you support the Common Core State Standards or don’t, it’s hard to argue that the implementation so far has been smooth."

    Annotated Mathematics State Test Questions for Grades 3-8, By NICK CORASANITI and BRITTANY STOROZ

    Source: The New York Times, August 7, 2013

    "Take a test featuring two sample questions per grade from the 2013 New York State mathematics tests. Each answer will be followed with an annotation from the sample test manual." A related article is also referenced.

    U.S. Reading and Math Scores Show Incremental Gains, By MOTOKO RICH

    Source: The New York Times, November 7, 2013

    "American fourth and eighth graders showed incremental gains in reading and math this year, but achievement gaps between whites and blacks, whites and Hispanics, and low-income and more affluent students stubbornly persist, data released by the Education Department on Thursday showed."

    The Myth of 'I'm Bad at Math', By MILES KIMBALL & NOAH SMITH

    Source: The Atlantic, October 28, 2013

    "Basic ability in the subject isn't the product of good genes, but hard work."

    For Career Success, Study Those Quadratics, By KATHLEEN MADIGAN

    Source: The Wall Street Journal, November 1, 2013

    "A student’s income later in life is tied to the level of mathematics taken in high school..."

    Better News in New Study That Assesses U.S. Students, By MOTOKO RICH

    Source: The New York Times, October 23, 2013

    How US students stack up against students from other countries.

    The United States, Falling Behind, by THE EDITORIAL BOARD

    Source: The New York Times, October 22, 2013

    OECD report finds that working-age American adults are very poor in math.

    Why Do Teachers Quit?, By LIZ RIGGS

    Source: The Atlantic, October 18, 2013

    "And why do they stay?"

    Teacher status around the world: how the US stacks up, By STACY TEICHER KHADAROO

    Source: The Christian Science Monitor, October 2, 2013

    "The first-ever Global Teacher Status index finds significant disparities in how teachers are viewed. In China, teachers are as respected as doctors; in the US, they're more often compared with librarians."

    How to Make Kids Love Math

    Source: Scientific American, August 7, 2013

    "Mathematician John Mighton talks with Scientific American MIND editor Ingrid Wickelgren about getting math-shy kids interested, via JUMP: Junior Undiscovered Math Prodigies." (This is a podcast with transcript.)

    Stubborn Skills Gap in America’s Work Force, By EDUARDO PORTER

    Source: New York Times, October 8, 2013

    "Paradoxically, our biggest deficits are in math, the most highly valued skill in the work force."

    U.S. Adults Fare Poorly in a Study of Skills, By RICHARD PÉREZ-PEÑA

    Source: New York Times, 10/8/2013

    "American adults lag well behind their counterparts in most other developed countries in the mathematical and technical skills needed for a modern workplace, according to a study released Tuesday." (For a quick summary of the study, click on the Multimedia chart.)

    SAT Results For 2013 Show Low Rates Of College Preparedness, by JOY RESMOVITS

    Source: Huffington Post, 09/26/2013

    "Only 43 percent of test-takers in 2013 met the SAT's definition of being prepared for college..."

    A Report Card on Education Reform, By DAVID LEONHARDT

    Source: New York Times, 09/25/2013

    Interview with Arne Duncan and Mitch Daniels on where we are with education reform.

    New Approaches to Teaching Fractions, By SUE SHELLENBARGER

    Source: Wall Street Journal, 09/24/2013

    "Many students cruise along just fine in math until fourth grade or so. Then, they hit a wall—fractions."

    America Needs To Study Fractions *, by CHRISTIE NICHOLSON

    Source: Scientific American, 6/16/2012

    New research indicates that grade school proficiency in fractions and long-form division predicts high school success in math. There is also a podcast.

    New Teaching Method Improves Math Skills, Closes Gender Gap in Young Students

    Source: Science Daily, 09/18/2013

    "When early elementary math teachers ask students to explain their problem-solving strategies and then tailor instruction to address specific gaps in their understanding, students learn significantly more than those taught using a more traditional approach."

    Expecting the Best Yields Results in Massachusetts, By KENNETH CHANG

    Source: New York Times, 09/2/2013

    "Adopting rigorous standards, and sticking with them while giving teachers some breathing room, has helped Massachusetts’ students rise to No. 1 in the nation on science and math achievement."

    With Common Core, Fewer Topics Covered More Rigorously, By KENNETH CHANG

    Source: New York Times, 09/2/2013

    The new Common Core math curriculum aims for greater depth.

    Education solutions from abroad for chronic U.S. school problems, By LEE LAWRENCE

    Source: Christian Science Monitor, 09/1/2013

    "Global lessons for American schools."

    The Common Core and the Common Good, By CHARLES M. BLOW

    Source: New York Times, 08/21/2013

    The need for Common Core is generally recognized, but it must be implemented properly.

    US students far from first in math, science, by JOSH LEDERMAN

    Source: Associated Press (via Yahoo! News), 12/11/2012

    "Study: US fourth-graders make strides, but progress elusive at eighth-grade level."

    How Do American Kids Stack Up on Math Internationally?

    Source: National Center for Education Statistics

    Every four years (1995, 1999, 2003, 2007, 2011) the Trends in International Mathematics and Science Study (TIMSS) publishes their assessment of mathematics and science knowledge of 4th and 8th grade students around the world.

    Education reform's next big thing: Common Core standards ramp up, by AMANDA PAULSON

    Source: The Christian Science Monitor, 05/15/2013

    "Common Core standards are aimed at building students' critical thinking skills, and 46 states have adopted them."

    In Raising Scores, 1 2 3 Is Easier Than A B C, By MOTOKO RICH

    Source: New York Times, 05/29/2013

    Difficulties in teaching reading versus math.

    Early Math and Reading Ability Linked to Job and Income in Adulthood

    Source: Science Daily, 05/08/2013

    "Math and reading ability at age 7 may be linked with socioeconomic status several decades later, according to new research published in Psychological Science, a journal of the Association for Psychological Science."

    Kids who are bad at math grow into adults who can't calculate the tip, by THE ASSOCIATED PRESS

    Source: CBS News, 3/26/2013

    Five tips to engage your child in math.

    Adventurous Math For the Playground Set, by ANNA KUCHMENT

    Source: New York Times, 4/29/2013

    Four math activities for kids.

    Building Numerical Literacy in the Very Young, by KIT EATON

    Source: New York Times, 4/10/2013

    Counting and math apps for the very young.

    Creating a Whole New Planet for Math and Science, by REBECCA JACOBSON

    Source: PBS Newshour, 4/24/2013

    "As part of an ongoing web series, NewsHour profiles STEM teachers who have found innovative ways to teach their students about math and science." Article and video.

    How Math Got Its Groove Back, by REBECCA JACOBSON

    Source: PBS Newshour, 1/16/2013

    Using dance to teach number patterns to 5th graders. Article and video.

    Digitally Aided Education, Using the Students’ Own Electronic Gear, By MATT RICHTEL

    Source: New York Times, 3/24/2013

    "A growing number of schools ask students to bring their own computers, tablets, and smartphones to class where they are used to teach them math and other subjects."

    Prescription for Double-Dose Algebra Proves Effective, by CHELSEA LEU

    Source: Science Daily, 3/21/2013

    Study shows that two consecutive periods of algebra for struggling students improves college entrance exam scores, high school graduation rates and college enrollment rates.

    The New, New Math: A Parents Guide, By ANNA KUCHMENT

    Source: Scientific American, 9/6/2011

    Reasoning behind the Common Core State Standards in math and English, and where parents come in.

    Motivation, Study Habits -- Not IQ -- Determine Growth in Math Achievement

    Source: Science Daily, 12/20/2012

    Study habits and motivation play dominant roles in learning math.

    Why Third Grade Is So Important: The ‘Matthew Effect, By ANNIE MURPHY PAUL

    Source: Time Magazine, 9/26/2012

    Reading by then is critical, even for math.

    Highlighting Is a Waste of Time: The Best and Worst Learning Techniques, By ANNIE MURPHY PAUL

    Source: Time Magazine, 1/9/2013

    Spreading out study sessions and using flash cards are two of the best methods.

    * We have dozens of videos on fractions and division taught by a professional teacher, and our worksheet generators provide complete, step-by-step solutions to long-form division problems.