SlideShare a Scribd company logo
1 of 37
Using Power of Ten as a tool to Understand: Place Value Multiplication Division
Place Value N3.1 Demonstrate understanding of whole numbers to 1000 (concretely, pictorially, physically, orally, in writing, and symbolically) including: ·representing (including place value) ·describing ·estimating with referents ·comparing two numbers ·ordering three or more numbers. N4.1  Demonstrate an understanding of whole numbers to 10 000 (pictorially, physically, symbolically) by: ·representing ·describing ·comparing two numbers ·ordering three or more numbers.
http://www.rif.org/assets/Documents/readingplanet/ReadAloud_Stories/zero_the_hero.html http://www.youtube.com/watch?v=Nvc2PPTlW7k Number Relationships: Anchoring Numbers to 10 ·Students need a solid foundation of 'ten' ·There are many activities to develop this concept.  We are going to experience a few games to practice this concept of 'tenness'. 1. Salute   2. Advanced Salute http://www.poweroften.ca/index.php?view=video&id=34%3Agrade-3-salute&option=com_jomtube&Itemid=139 Credit to drjean.org Once students have mastered 'tenness' then they can move to number relationships of larger numbers. "Zero the Hero" Story
Rounding Story of Rounding 10 9 8 2 4 5 1 3 6 7
83 70 90 80
Who could they be? A C D B What numbers do you think are A,B,C, and D and why?
Close, Far and In Between Which two numbers are closest and why? Which number is closest to 200? Why? Name a number in between any of these two numbers.  _____  ______  ______ How far apart are 184 and 199? Explain how you know. If these are big numbers, what are some small numbers? List 3 numbers that make these numbers seem small?
What could we do with these numbers? Connections to Real -World Ideas 1 752 Population of Langenburg , Germany 1 048 Population of Langenburg, Saskatchewan, Canada  Add the numbers in your head. What were the strategies that you used?
Build a number that you see. 41 37 19 13 9 12 31 22 38 28
Make 50 Build a number that you see. 41 37 19 13 9 12 31 22 38 28
Build a number that you see. 565 720 635 185 550 450 815 435 365 760 280
Make 1 000 Build a number that you see. 565 720 635 185 550 450 815 435 365 760 280
Multiplication and Division N3.3 Demonstrate understanding of multiplication to 5 × 5 and the corresponding division statements including: ·	representing and explaining using repeated addition or subtraction, equal grouping, and arrays ·	creating and solving situational questions  ·	modelling processes using concrete, physical, and visual representations, and recording the process symbolically ·	relating multiplication and division. N4.3  Demonstrate an understanding of multiplication of whole numbers (limited to numbers less than or equal to 10) by: ·	applying mental mathematics strategies  ·	explaining the results of multiplying by 0 and 1. N4.4  Demonstrate an understanding of multiplication of whole numbers (2- or 3-digit by 1 - digit) by: ·	modeling the distributive property ·	using personal strategies for multiplication, with and without concrete materials ·	using arrays to represent multiplication ·	connecting concrete representations to symbolic representations ·	estimating products solving problems. N4.5  Demonstrate an understanding of division of whole numbers(1-digit divisor to 2-digit dividend) by: ·	using personal strategies for dividing, with and without concrete materials ·	estimating quotients ·	explaining the results of dividing by 1 ·	solving problems involving division of whole numbers ·	relating division to multiplication.
Students should know their doubles before you begin multiplication and division. http://www.poweroften.ca/index.php?view=video&id=44&option=com_jomtube&Itemid=139 http://www.poweroften.ca/index.php?view=video&id=46&option=com_jomtube&Itemid=139
Division should also be taught along with multiplication. When an array is created or a specific area is calculated, the relevant division questions should always be discussed at the same time. For example: when examining the 24th day of a month during calendar time and discussing the varied groupings possible that equal 24, some students will build an array that shows: 4 groups of 6 or 4 × 6 = 24. This array should at once be related to all the facts in this family of groupings: •4 × 6 = 24 •6 × 4 = 24 •24 ÷ 6 = 4 ·24 ÷ 4 = 6 Some effective teaching strategies for developing multiplication concepts are as follows: •Avoid teaching a multiplication table in a specific order, as this promotes counting strategies. Instead use a doubling strategy such as 2 × 5 = 10, 4 × 5 = 20, and 8 × 5 = 40. •Avoid teaching tables before grade three. •Teach meaning through grouping, calendar time, and meaningful projects. •When teaching the multiplication tables, use many varied strategies including: ÖForming groups ÖMaking arrays ÖGraphing arrays on cm grid paper ÖRelating multiplication to area ÖUsing number lines ÖClapping the facts, and using music and rhymes to reinforce multiplication facts ÖUsing visual tools ÖBreaking numbers up •Relate multiplication equations to other questions that are similar and more readily understandable. •Use kinesthetic approaches (clapping, standing and sitting, and manipulating or handling egg cartons).
bounce ball- rhythmic (Page 112) Teaching the 5 Times Tables First 1 group of 5 2 groups of 5
How many 5's make 20?
I see... I think... This reminds me of...
Next teach the 10 times tables. What patterns do you notice? 0 and 1 5,10,0,1   this leaves 2,3,4,6,7,8,9     (2's are doubles) http://vimeo.com/15261830 You have only half of the remaining due to the commutative property!!!
16x8= 8x8=4x8=32....64 64x2=128 8x6= (halving and doubling strategy) Learning the Difficult Multiplication Facts 6,7,8 http://www.poweroften.ca/index.php?view=video&id=42%3Agrade-3-learning-the-difficult-multiplication-facts&option=com_jomtube&Itemid=139 18x25=9x50
8x6=48 6x8=48 48  6=8 48  8=6 16x8= 8x8=4x8=32....64 64x2=128 Teach your Fact Families
Distributive Property 4 x 27 =4(20 +7) =4(20) + (7) =80 + 28 =108
Show What is my question sheet page 59 I am thinking of a question : It is a multiple of 4. The product is greater than 30     	and less than 40. The sum of the digits in the product is 5.      What is my question?
4,8,16,20,24,28,32,36,40, 3+2=5               3+6=9 The answer is 8x4=32
A hotel has 24 windows on a floor. There are 9 floors.  How many windows are there? Is the number of windows more than 240? How do you know? How could you estimate the number of windows? How could you use manipulatives to model the problem? Mental Math ?
Describe a situation when you might divide 50 by 4. Now describe a situation when you are forming groups but don't divide.
Susan says 45-9-9-9-9-9=0 describes  division do you agree? Explain.
Partitioning or Fair Sharing The bag has 783 jelly beans, and Maggie and her four friends want to share them equally. How many jelly beans will Maggie and each of her friends each get? Measurement or Repeated Subtraction Concept Jumbo the elephant loves peanuts. His trainer has 620 peanuts. If he gives Jumbo 20 peanuts each day, how many days will the peanuts last?
Jumbo the elephant loves peanuts.  His trainer has 20 peanuts.  If he gives Jumbo 5 peanuts each day, how many days will the peanuts last? Number of Peanuts Day
The bag has 783 jelly beans, and Maggie and her four friends want to share them equally.  How many jelly beans will Maggie and each of her friends each get?
Jumbo the elephant loves peanuts.  His trainer has 20 peanuts.  If he gives Jumbo 5 peanuts each day, how many days will the peanuts last? ------------------------------------------------------------------ What if he only gave 2 a day, how many days will the peanuts last? Number of Peanuts Day
Credits http://www.poweroften.ca/ blackline masters http://www.ablongman.com/vandewalleseries/
Place Value, Multiplication, Division
Place Value, Multiplication, Division
Place Value, Multiplication, Division

More Related Content

What's hot

Square root
Square rootSquare root
Square rootrryan80
 
Algebra Expressions in Word Problems
Algebra Expressions in Word ProblemsAlgebra Expressions in Word Problems
Algebra Expressions in Word ProblemsPassy World
 
Multiply by 10, 100, 1000, etc...
Multiply by 10, 100, 1000, etc...Multiply by 10, 100, 1000, etc...
Multiply by 10, 100, 1000, etc...Brooke Young
 
Addition Using The Column Method
Addition Using The Column MethodAddition Using The Column Method
Addition Using The Column MethodChris James
 
Rational numbers in the number line
Rational numbers in the number line Rational numbers in the number line
Rational numbers in the number line Grace Robledo
 
basic & secondary parts of triangles.ppt
basic & secondary parts of triangles.pptbasic & secondary parts of triangles.ppt
basic & secondary parts of triangles.pptJoeyDeLuna1
 
Linear Equation In one variable class 7
 Linear Equation In one variable class 7 Linear Equation In one variable class 7
Linear Equation In one variable class 7Poulami Choudhury
 
3. multiples, factors and primes
3. multiples, factors and primes3. multiples, factors and primes
3. multiples, factors and primesDreams4school
 
Factors & multiples
Factors & multiplesFactors & multiples
Factors & multiplesEnoch Ng
 
GCSE Foundation Revision Quiz
GCSE Foundation Revision QuizGCSE Foundation Revision Quiz
GCSE Foundation Revision QuizGopala Nadarajan
 
Solving One Step Equations
Solving One Step Equations Solving One Step Equations
Solving One Step Equations Kelly Williams
 
The rules of indices
The rules of indicesThe rules of indices
The rules of indicesYu Kok Hui
 
Surface ARea of Prisms and Cylinders
Surface ARea of Prisms and CylindersSurface ARea of Prisms and Cylinders
Surface ARea of Prisms and Cylinderskaren wagoner
 
Lesson 1.9 b multiplication and division of rational numbers
Lesson 1.9 b   multiplication and division of rational numbersLesson 1.9 b   multiplication and division of rational numbers
Lesson 1.9 b multiplication and division of rational numbersJohnnyBallecer
 
Squares And Cubes
Squares And CubesSquares And Cubes
Squares And Cubesguesta8f50
 
Amazing Math Tips & Tricks
Amazing Math Tips & TricksAmazing Math Tips & Tricks
Amazing Math Tips & TricksMinhas Kamal
 

What's hot (20)

Square root
Square rootSquare root
Square root
 
Algebra Expressions in Word Problems
Algebra Expressions in Word ProblemsAlgebra Expressions in Word Problems
Algebra Expressions in Word Problems
 
Multiply by 10, 100, 1000, etc...
Multiply by 10, 100, 1000, etc...Multiply by 10, 100, 1000, etc...
Multiply by 10, 100, 1000, etc...
 
Addition Using The Column Method
Addition Using The Column MethodAddition Using The Column Method
Addition Using The Column Method
 
Rational numbers in the number line
Rational numbers in the number line Rational numbers in the number line
Rational numbers in the number line
 
basic & secondary parts of triangles.ppt
basic & secondary parts of triangles.pptbasic & secondary parts of triangles.ppt
basic & secondary parts of triangles.ppt
 
Linear Equation In one variable class 7
 Linear Equation In one variable class 7 Linear Equation In one variable class 7
Linear Equation In one variable class 7
 
3. multiples, factors and primes
3. multiples, factors and primes3. multiples, factors and primes
3. multiples, factors and primes
 
Factors & multiples
Factors & multiplesFactors & multiples
Factors & multiples
 
Solving 2 step equations
Solving 2 step equationsSolving 2 step equations
Solving 2 step equations
 
Expand brackets 1
Expand brackets 1Expand brackets 1
Expand brackets 1
 
GCSE Foundation Revision Quiz
GCSE Foundation Revision QuizGCSE Foundation Revision Quiz
GCSE Foundation Revision Quiz
 
Mathematics
MathematicsMathematics
Mathematics
 
Math class 4 division-_ppt
Math class 4 division-_pptMath class 4 division-_ppt
Math class 4 division-_ppt
 
Solving One Step Equations
Solving One Step Equations Solving One Step Equations
Solving One Step Equations
 
The rules of indices
The rules of indicesThe rules of indices
The rules of indices
 
Surface ARea of Prisms and Cylinders
Surface ARea of Prisms and CylindersSurface ARea of Prisms and Cylinders
Surface ARea of Prisms and Cylinders
 
Lesson 1.9 b multiplication and division of rational numbers
Lesson 1.9 b   multiplication and division of rational numbersLesson 1.9 b   multiplication and division of rational numbers
Lesson 1.9 b multiplication and division of rational numbers
 
Squares And Cubes
Squares And CubesSquares And Cubes
Squares And Cubes
 
Amazing Math Tips & Tricks
Amazing Math Tips & TricksAmazing Math Tips & Tricks
Amazing Math Tips & Tricks
 

Viewers also liked

Monkeyin' Around With Long Division
Monkeyin' Around With Long DivisionMonkeyin' Around With Long Division
Monkeyin' Around With Long DivisionHawkins Academy
 
Dividing By 1 Digit Divisors
Dividing By 1 Digit DivisorsDividing By 1 Digit Divisors
Dividing By 1 Digit Divisorsangiebski4
 
How To Do Long Division!!!
How To Do Long Division!!!How To Do Long Division!!!
How To Do Long Division!!!Ana Buckmaster
 
Long Division Tutorial
Long Division TutorialLong Division Tutorial
Long Division TutorialHamons
 
Multiplication or division powerpoint
Multiplication or division powerpointMultiplication or division powerpoint
Multiplication or division powerpointtjprigge
 
Division, divisibility rules 11 3-10
Division, divisibility rules 11 3-10Division, divisibility rules 11 3-10
Division, divisibility rules 11 3-10aggay
 
Multiplication Two Digit By One Digit
Multiplication Two Digit By One DigitMultiplication Two Digit By One Digit
Multiplication Two Digit By One DigitAna Buckmaster
 
The steps in long division
The steps in long divisionThe steps in long division
The steps in long divisionmb7393
 
3rd Grade Powerpoint
3rd Grade Powerpoint3rd Grade Powerpoint
3rd Grade Powerpointcrystal31
 
Dividing by Whole Numbers
Dividing by Whole NumbersDividing by Whole Numbers
Dividing by Whole Numbersfelicianoe
 
Multiplication ppt
Multiplication pptMultiplication ppt
Multiplication pptAbha Arora
 
Multiplication Powerpoint
Multiplication PowerpointMultiplication Powerpoint
Multiplication Powerpointguestc6baef
 
Understanding Fractions
Understanding FractionsUnderstanding Fractions
Understanding Fractionshtaylor2010
 

Viewers also liked (20)

division
divisiondivision
division
 
Monkeyin' Around With Long Division
Monkeyin' Around With Long DivisionMonkeyin' Around With Long Division
Monkeyin' Around With Long Division
 
Dividing By 1 Digit Divisors
Dividing By 1 Digit DivisorsDividing By 1 Digit Divisors
Dividing By 1 Digit Divisors
 
Multiplication
MultiplicationMultiplication
Multiplication
 
How To Do Long Division!!!
How To Do Long Division!!!How To Do Long Division!!!
How To Do Long Division!!!
 
Long division
Long divisionLong division
Long division
 
Long Division Tutorial
Long Division TutorialLong Division Tutorial
Long Division Tutorial
 
Multiplication or division powerpoint
Multiplication or division powerpointMultiplication or division powerpoint
Multiplication or division powerpoint
 
Division, divisibility rules 11 3-10
Division, divisibility rules 11 3-10Division, divisibility rules 11 3-10
Division, divisibility rules 11 3-10
 
Pizza fractions
Pizza fractionsPizza fractions
Pizza fractions
 
Multiplication Two Digit By One Digit
Multiplication Two Digit By One DigitMultiplication Two Digit By One Digit
Multiplication Two Digit By One Digit
 
The steps in long division
The steps in long divisionThe steps in long division
The steps in long division
 
3rd Grade Powerpoint
3rd Grade Powerpoint3rd Grade Powerpoint
3rd Grade Powerpoint
 
Dividing by Whole Numbers
Dividing by Whole NumbersDividing by Whole Numbers
Dividing by Whole Numbers
 
3rd grade fractions
3rd grade fractions3rd grade fractions
3rd grade fractions
 
Multiplication ppt
Multiplication pptMultiplication ppt
Multiplication ppt
 
Pizza fractions
Pizza fractionsPizza fractions
Pizza fractions
 
Shapes.ppt
Shapes.pptShapes.ppt
Shapes.ppt
 
Multiplication Powerpoint
Multiplication PowerpointMultiplication Powerpoint
Multiplication Powerpoint
 
Understanding Fractions
Understanding FractionsUnderstanding Fractions
Understanding Fractions
 

Similar to Place Value, Multiplication, Division

String of lessons n4.4
String of lessons n4.4String of lessons n4.4
String of lessons n4.4susan70
 
Grade 4 5 multiplication problem
Grade 4 5 multiplication problemGrade 4 5 multiplication problem
Grade 4 5 multiplication problemsusan70
 
Visualization Techniques_.pdf
Visualization Techniques_.pdfVisualization Techniques_.pdf
Visualization Techniques_.pdfRENGAN SRINIVASAN
 
To Be Numerate
To Be NumerateTo Be Numerate
To Be Numerategerry21
 
Math module 3 lesson 14
Math module 3   lesson 14Math module 3   lesson 14
Math module 3 lesson 14NRWEG3
 
Maths evening 2018
Maths evening 2018Maths evening 2018
Maths evening 2018Sandygate
 
lesson 5 adding 2 digit numbers
lesson 5 adding 2 digit numberslesson 5 adding 2 digit numbers
lesson 5 adding 2 digit numberssusan70
 
G6 m4-a-lesson 1-t
G6 m4-a-lesson 1-tG6 m4-a-lesson 1-t
G6 m4-a-lesson 1-tmlabuski
 
Maths inset june 2015 multiplication
Maths inset june 2015 multiplicationMaths inset june 2015 multiplication
Maths inset june 2015 multiplicationmarkward20
 
Math module 3 lesson 2
Math module 3   lesson 2Math module 3   lesson 2
Math module 3 lesson 2NRWEG3
 
Lesson 16
Lesson 16Lesson 16
Lesson 16NRWEG3
 
Maths Presentation 2015 Plateau School
Maths Presentation 2015 Plateau SchoolMaths Presentation 2015 Plateau School
Maths Presentation 2015 Plateau SchoolPlateau School
 
Promoting number sense
Promoting number sensePromoting number sense
Promoting number senseCarlo Magno
 
inbound6354522052973741292.pptx
inbound6354522052973741292.pptxinbound6354522052973741292.pptx
inbound6354522052973741292.pptxJanethDairo
 
5th grade word problems and fractions pd
5th grade  word problems and fractions pd5th grade  word problems and fractions pd
5th grade word problems and fractions pdLaura Chambless
 
Presentation Math Workshop#May 25th New Help our teachers understa...
Presentation Math Workshop#May 25th New            Help our teachers understa...Presentation Math Workshop#May 25th New            Help our teachers understa...
Presentation Math Workshop#May 25th New Help our teachers understa...guest80c0981
 
Math orientation, place value, estimation, rounding, basic ops word problems
Math orientation, place value, estimation, rounding, basic ops word problemsMath orientation, place value, estimation, rounding, basic ops word problems
Math orientation, place value, estimation, rounding, basic ops word problemsmathn3rd
 
Module 3 Lesson 9
Module 3 Lesson 9Module 3 Lesson 9
Module 3 Lesson 9NRWEG3
 

Similar to Place Value, Multiplication, Division (20)

String of lessons n4.4
String of lessons n4.4String of lessons n4.4
String of lessons n4.4
 
Grade 4 5 multiplication problem
Grade 4 5 multiplication problemGrade 4 5 multiplication problem
Grade 4 5 multiplication problem
 
SOW for year 7
SOW for year 7SOW for year 7
SOW for year 7
 
SOW for year 7
SOW for year 7SOW for year 7
SOW for year 7
 
Visualization Techniques_.pdf
Visualization Techniques_.pdfVisualization Techniques_.pdf
Visualization Techniques_.pdf
 
To Be Numerate
To Be NumerateTo Be Numerate
To Be Numerate
 
Math module 3 lesson 14
Math module 3   lesson 14Math module 3   lesson 14
Math module 3 lesson 14
 
Maths evening 2018
Maths evening 2018Maths evening 2018
Maths evening 2018
 
lesson 5 adding 2 digit numbers
lesson 5 adding 2 digit numberslesson 5 adding 2 digit numbers
lesson 5 adding 2 digit numbers
 
G6 m4-a-lesson 1-t
G6 m4-a-lesson 1-tG6 m4-a-lesson 1-t
G6 m4-a-lesson 1-t
 
Maths inset june 2015 multiplication
Maths inset june 2015 multiplicationMaths inset june 2015 multiplication
Maths inset june 2015 multiplication
 
Math module 3 lesson 2
Math module 3   lesson 2Math module 3   lesson 2
Math module 3 lesson 2
 
Lesson 16
Lesson 16Lesson 16
Lesson 16
 
Maths Presentation 2015 Plateau School
Maths Presentation 2015 Plateau SchoolMaths Presentation 2015 Plateau School
Maths Presentation 2015 Plateau School
 
Promoting number sense
Promoting number sensePromoting number sense
Promoting number sense
 
inbound6354522052973741292.pptx
inbound6354522052973741292.pptxinbound6354522052973741292.pptx
inbound6354522052973741292.pptx
 
5th grade word problems and fractions pd
5th grade  word problems and fractions pd5th grade  word problems and fractions pd
5th grade word problems and fractions pd
 
Presentation Math Workshop#May 25th New Help our teachers understa...
Presentation Math Workshop#May 25th New            Help our teachers understa...Presentation Math Workshop#May 25th New            Help our teachers understa...
Presentation Math Workshop#May 25th New Help our teachers understa...
 
Math orientation, place value, estimation, rounding, basic ops word problems
Math orientation, place value, estimation, rounding, basic ops word problemsMath orientation, place value, estimation, rounding, basic ops word problems
Math orientation, place value, estimation, rounding, basic ops word problems
 
Module 3 Lesson 9
Module 3 Lesson 9Module 3 Lesson 9
Module 3 Lesson 9
 

More from susan70

Progression of outcomes for place value 1 (1)
Progression of outcomes for place value 1 (1)Progression of outcomes for place value 1 (1)
Progression of outcomes for place value 1 (1)susan70
 
Partylite Launch
Partylite LaunchPartylite Launch
Partylite Launchsusan70
 
performance task
performance taskperformance task
performance tasksusan70
 
Year at a glance
Year at a glanceYear at a glance
Year at a glancesusan70
 
Great radical efficient gaming greg
Great radical efficient gaming gregGreat radical efficient gaming greg
Great radical efficient gaming gregsusan70
 
Canada test part 1
Canada test part 1Canada test part 1
Canada test part 1susan70
 
Beginning with the end in mind Dec 1
Beginning with the end in mind Dec 1Beginning with the end in mind Dec 1
Beginning with the end in mind Dec 1susan70
 
Jonathon's Resume
Jonathon's ResumeJonathon's Resume
Jonathon's Resumesusan70
 
Parent reading tips
Parent reading tipsParent reading tips
Parent reading tipssusan70
 
Grade 5-timelineof learning
Grade 5-timelineof learningGrade 5-timelineof learning
Grade 5-timelineof learningsusan70
 
Nutrition
NutritionNutrition
Nutritionsusan70
 
Pauls pizza
Pauls pizzaPauls pizza
Pauls pizzasusan70
 
Nutrition (1)
Nutrition (1)Nutrition (1)
Nutrition (1)susan70
 
Vitamins
VitaminsVitamins
Vitaminssusan70
 
Foodguide
FoodguideFoodguide
Foodguidesusan70
 
Visual artifact module 5
Visual artifact module 5Visual artifact module 5
Visual artifact module 5susan70
 
Jonathon's Resume
Jonathon's ResumeJonathon's Resume
Jonathon's Resumesusan70
 
Susan muir week 3 visual assignment
Susan muir week 3 visual assignmentSusan muir week 3 visual assignment
Susan muir week 3 visual assignmentsusan70
 
Final susan muir visual assignment 1
Final susan muir visual assignment 1Final susan muir visual assignment 1
Final susan muir visual assignment 1susan70
 

More from susan70 (20)

Progression of outcomes for place value 1 (1)
Progression of outcomes for place value 1 (1)Progression of outcomes for place value 1 (1)
Progression of outcomes for place value 1 (1)
 
Partylite Launch
Partylite LaunchPartylite Launch
Partylite Launch
 
Day 1
Day 1Day 1
Day 1
 
performance task
performance taskperformance task
performance task
 
Year at a glance
Year at a glanceYear at a glance
Year at a glance
 
Great radical efficient gaming greg
Great radical efficient gaming gregGreat radical efficient gaming greg
Great radical efficient gaming greg
 
Canada test part 1
Canada test part 1Canada test part 1
Canada test part 1
 
Beginning with the end in mind Dec 1
Beginning with the end in mind Dec 1Beginning with the end in mind Dec 1
Beginning with the end in mind Dec 1
 
Jonathon's Resume
Jonathon's ResumeJonathon's Resume
Jonathon's Resume
 
Parent reading tips
Parent reading tipsParent reading tips
Parent reading tips
 
Grade 5-timelineof learning
Grade 5-timelineof learningGrade 5-timelineof learning
Grade 5-timelineof learning
 
Nutrition
NutritionNutrition
Nutrition
 
Pauls pizza
Pauls pizzaPauls pizza
Pauls pizza
 
Nutrition (1)
Nutrition (1)Nutrition (1)
Nutrition (1)
 
Vitamins
VitaminsVitamins
Vitamins
 
Foodguide
FoodguideFoodguide
Foodguide
 
Visual artifact module 5
Visual artifact module 5Visual artifact module 5
Visual artifact module 5
 
Jonathon's Resume
Jonathon's ResumeJonathon's Resume
Jonathon's Resume
 
Susan muir week 3 visual assignment
Susan muir week 3 visual assignmentSusan muir week 3 visual assignment
Susan muir week 3 visual assignment
 
Final susan muir visual assignment 1
Final susan muir visual assignment 1Final susan muir visual assignment 1
Final susan muir visual assignment 1
 

Place Value, Multiplication, Division

  • 1. Using Power of Ten as a tool to Understand: Place Value Multiplication Division
  • 2. Place Value N3.1 Demonstrate understanding of whole numbers to 1000 (concretely, pictorially, physically, orally, in writing, and symbolically) including: ·representing (including place value) ·describing ·estimating with referents ·comparing two numbers ·ordering three or more numbers. N4.1 Demonstrate an understanding of whole numbers to 10 000 (pictorially, physically, symbolically) by: ·representing ·describing ·comparing two numbers ·ordering three or more numbers.
  • 3. http://www.rif.org/assets/Documents/readingplanet/ReadAloud_Stories/zero_the_hero.html http://www.youtube.com/watch?v=Nvc2PPTlW7k Number Relationships: Anchoring Numbers to 10 ·Students need a solid foundation of 'ten' ·There are many activities to develop this concept. We are going to experience a few games to practice this concept of 'tenness'. 1. Salute 2. Advanced Salute http://www.poweroften.ca/index.php?view=video&id=34%3Agrade-3-salute&option=com_jomtube&Itemid=139 Credit to drjean.org Once students have mastered 'tenness' then they can move to number relationships of larger numbers. "Zero the Hero" Story
  • 4. Rounding Story of Rounding 10 9 8 2 4 5 1 3 6 7
  • 5. 83 70 90 80
  • 6. Who could they be? A C D B What numbers do you think are A,B,C, and D and why?
  • 7. Close, Far and In Between Which two numbers are closest and why? Which number is closest to 200? Why? Name a number in between any of these two numbers. _____ ______ ______ How far apart are 184 and 199? Explain how you know. If these are big numbers, what are some small numbers? List 3 numbers that make these numbers seem small?
  • 8. What could we do with these numbers? Connections to Real -World Ideas 1 752 Population of Langenburg , Germany 1 048 Population of Langenburg, Saskatchewan, Canada Add the numbers in your head. What were the strategies that you used?
  • 9. Build a number that you see. 41 37 19 13 9 12 31 22 38 28
  • 10. Make 50 Build a number that you see. 41 37 19 13 9 12 31 22 38 28
  • 11. Build a number that you see. 565 720 635 185 550 450 815 435 365 760 280
  • 12. Make 1 000 Build a number that you see. 565 720 635 185 550 450 815 435 365 760 280
  • 13. Multiplication and Division N3.3 Demonstrate understanding of multiplication to 5 × 5 and the corresponding division statements including: · representing and explaining using repeated addition or subtraction, equal grouping, and arrays · creating and solving situational questions · modelling processes using concrete, physical, and visual representations, and recording the process symbolically · relating multiplication and division. N4.3 Demonstrate an understanding of multiplication of whole numbers (limited to numbers less than or equal to 10) by: · applying mental mathematics strategies · explaining the results of multiplying by 0 and 1. N4.4 Demonstrate an understanding of multiplication of whole numbers (2- or 3-digit by 1 - digit) by: · modeling the distributive property · using personal strategies for multiplication, with and without concrete materials · using arrays to represent multiplication · connecting concrete representations to symbolic representations · estimating products solving problems. N4.5 Demonstrate an understanding of division of whole numbers(1-digit divisor to 2-digit dividend) by: · using personal strategies for dividing, with and without concrete materials · estimating quotients · explaining the results of dividing by 1 · solving problems involving division of whole numbers · relating division to multiplication.
  • 14. Students should know their doubles before you begin multiplication and division. http://www.poweroften.ca/index.php?view=video&id=44&option=com_jomtube&Itemid=139 http://www.poweroften.ca/index.php?view=video&id=46&option=com_jomtube&Itemid=139
  • 15.
  • 16. Division should also be taught along with multiplication. When an array is created or a specific area is calculated, the relevant division questions should always be discussed at the same time. For example: when examining the 24th day of a month during calendar time and discussing the varied groupings possible that equal 24, some students will build an array that shows: 4 groups of 6 or 4 × 6 = 24. This array should at once be related to all the facts in this family of groupings: •4 × 6 = 24 •6 × 4 = 24 •24 ÷ 6 = 4 ·24 ÷ 4 = 6 Some effective teaching strategies for developing multiplication concepts are as follows: •Avoid teaching a multiplication table in a specific order, as this promotes counting strategies. Instead use a doubling strategy such as 2 × 5 = 10, 4 × 5 = 20, and 8 × 5 = 40. •Avoid teaching tables before grade three. •Teach meaning through grouping, calendar time, and meaningful projects. •When teaching the multiplication tables, use many varied strategies including: ÖForming groups ÖMaking arrays ÖGraphing arrays on cm grid paper ÖRelating multiplication to area ÖUsing number lines ÖClapping the facts, and using music and rhymes to reinforce multiplication facts ÖUsing visual tools ÖBreaking numbers up •Relate multiplication equations to other questions that are similar and more readily understandable. •Use kinesthetic approaches (clapping, standing and sitting, and manipulating or handling egg cartons).
  • 17. bounce ball- rhythmic (Page 112) Teaching the 5 Times Tables First 1 group of 5 2 groups of 5
  • 18.
  • 19. How many 5's make 20?
  • 20. I see... I think... This reminds me of...
  • 21. Next teach the 10 times tables. What patterns do you notice? 0 and 1 5,10,0,1 this leaves 2,3,4,6,7,8,9 (2's are doubles) http://vimeo.com/15261830 You have only half of the remaining due to the commutative property!!!
  • 22. 16x8= 8x8=4x8=32....64 64x2=128 8x6= (halving and doubling strategy) Learning the Difficult Multiplication Facts 6,7,8 http://www.poweroften.ca/index.php?view=video&id=42%3Agrade-3-learning-the-difficult-multiplication-facts&option=com_jomtube&Itemid=139 18x25=9x50
  • 23. 8x6=48 6x8=48 48 6=8 48 8=6 16x8= 8x8=4x8=32....64 64x2=128 Teach your Fact Families
  • 24. Distributive Property 4 x 27 =4(20 +7) =4(20) + (7) =80 + 28 =108
  • 25. Show What is my question sheet page 59 I am thinking of a question : It is a multiple of 4. The product is greater than 30 and less than 40. The sum of the digits in the product is 5. What is my question?
  • 26. 4,8,16,20,24,28,32,36,40, 3+2=5 3+6=9 The answer is 8x4=32
  • 27. A hotel has 24 windows on a floor. There are 9 floors. How many windows are there? Is the number of windows more than 240? How do you know? How could you estimate the number of windows? How could you use manipulatives to model the problem? Mental Math ?
  • 28. Describe a situation when you might divide 50 by 4. Now describe a situation when you are forming groups but don't divide.
  • 29. Susan says 45-9-9-9-9-9=0 describes division do you agree? Explain.
  • 30. Partitioning or Fair Sharing The bag has 783 jelly beans, and Maggie and her four friends want to share them equally. How many jelly beans will Maggie and each of her friends each get? Measurement or Repeated Subtraction Concept Jumbo the elephant loves peanuts. His trainer has 620 peanuts. If he gives Jumbo 20 peanuts each day, how many days will the peanuts last?
  • 31. Jumbo the elephant loves peanuts. His trainer has 20 peanuts. If he gives Jumbo 5 peanuts each day, how many days will the peanuts last? Number of Peanuts Day
  • 32. The bag has 783 jelly beans, and Maggie and her four friends want to share them equally. How many jelly beans will Maggie and each of her friends each get?
  • 33. Jumbo the elephant loves peanuts. His trainer has 20 peanuts. If he gives Jumbo 5 peanuts each day, how many days will the peanuts last? ------------------------------------------------------------------ What if he only gave 2 a day, how many days will the peanuts last? Number of Peanuts Day
  • 34. Credits http://www.poweroften.ca/ blackline masters http://www.ablongman.com/vandewalleseries/