TIPS4Math Grade 4 Operations Involving Numbers 0 to 10 000 Overall Expectations Students will: • Represent, compare, and order whole numbers to 10 000, decimal numbers to tenths, and simple fractions, and represent money amounts to $100 using a variety of tools (4m8) • Solve problems involving the addition, subtraction, multiplication, and division of single- and multi-digit whole numbers, and involving the addition and subtraction of decimal numbers to tenths and money amounts, using a variety of strategies (4m10) • Demonstrate an understanding of equality between pairs of expressions, using addition, subtraction, and multiplication (4m75) Specific Expectations Students will: • Demonstrate an understanding of place value in whole numbers and decimal numbers from 0.1 to 10 000, using a variety of tools and strategies (4m13) • Solve problems involving the addition and subtraction of four-digit numbers, using student-generated algorithms and standard algorithms (4m26) • Multiply two-digit whole numbers by one-digit whole numbers, using a variety of tools, student-generated algorithms, and standard algorithms (4m32) • Divide two-digit whole numbers by one-digit whole numbers, using a variety of tools and student-generated algorithms (4m33) • Use estimation when solving problems involving the addition, subtraction, and multiplication of whole numbers, to help judge the reasonableness of a solution (4m34) • Identify, through investigation, and use the commutative property of multiplication to facilitate computation with whole numbers (4m83) • Identify, through investigation, and use the distributive property of multiplication over addition to facilitate computation with whole numbers (4m84) Specific Lesson Learning Focus Expectations Addition of Four-Digit Whole • Solve problems involving the addition of four-digit numbers using 4m13 Numbers student-generated and standard algorithms 4m26 • Use estimation to check for reasonableness Subtraction of Four-Digit Whole • Solve problems involving the subtraction of four-digit numbers using student- 4m13 Numbers generated and standard algorithms 4m26 • Use estimation to check for reasonableness 2-Digit x 1-Digit Multiplication • Multiply two-digit whole numbers by one-digit whole numbers using a variety 4m13 Using Tools of tool, student-generated and standard algorithms 4m32 • • base ten materials, arrays, number line, area models, place value, 4m34 composing, decomposing Use estimation when solving problems EduGAINS-Mathematics Page 1 of 18
Transcript
TIPS4Math Grade 4
Operations Involving Numbers 0 to 10 000Overall Expectations Students will:• Represent, compare, and order whole numbers to 10 000, decimal numbers to tenths, and simple fractions, and represent money
amounts to $100 using a variety of tools (4m8)• Solve problems involving the addition, subtraction, multiplication, and division of single- and multi-digit whole numbers, and
involving the addition and subtraction of decimal numbers to tenths and money amounts, using a variety of strategies (4m10)• Demonstrate an understanding of equality between pairs of expressions, using addition, subtraction, and multiplication (4m75)Specific ExpectationsStudents will:• Demonstrate an understanding of place value in whole numbers and decimal numbers from 0.1 to 10 000, using a variety of tools
and strategies (4m13)• Solve problems involving the addition and subtraction of four-digit numbers, using student-generated algorithms and standard
algorithms (4m26)• Multiply two-digit whole numbers by one-digit whole numbers, using a variety of tools, student-generated algorithms, and standard
algorithms (4m32)• Divide two-digit whole numbers by one-digit whole numbers, using a variety of tools and student-generated algorithms (4m33)• Use estimation when solving problems involving the addition, subtraction, and multiplication of whole numbers, to help judge the
reasonableness of a solution (4m34)• Identify, through investigation, and use the commutative property of multiplication to facilitate computation with whole numbers
(4m83)• Identify, through investigation, and use the distributive property of multiplication over addition to facilitate computation with whole
Addition of Four-Digit Whole • Solve problems involving the addition of four-digit numbers using 4m13Numbers student-generated and standard algorithms 4m26
• Use estimation to check for reasonablenessSubtraction of Four-Digit Whole • Solve problems involving the subtraction of four-digit numbers using student- 4m13Numbers generated and standard algorithms 4m26
• Use estimation to check for reasonableness2-Digit x 1-Digit Multiplication • Multiply two-digit whole numbers by one-digit whole numbers using a variety 4m13Using Tools of tool, student-generated and standard algorithms 4m32
•
• base ten materials, arrays, number line, area models, place value, 4m34 composing, decomposing Use estimation when solving problems
Practise 2-Digit x 1-Digit multiplication using tools Investigate the commutative property to multiply 2-digit by 1-digit numbers Use properties to determine the missing number in equations
4m264m32
Practise 2-Digit x 1-Digit multiplication using tools Investigate the distributive property to multiply 2-digit by 1-digit numbers Make connections to strategies and tools used earlier 4m84
Summarize student-generated and standard algorithms 4m32o place value etc., composing, decomposing 4m34
• Summarize how the commutative and distributive properties can aid 4m83
• Divide 2-Digit Numbers by • 1-Digit Whole Numbers
multiplication 4m84Practise using contextsDivide two-digit whole numbers by one-digit whole numbers, with and without 4m33remainders, using a variety of tools, student-generated and standard 4m34algorithmsDivide two-digit whole numbers by one-digit whole numbers, with and without 4m33remainders, using a variety of tools, student-generated and standard 4m34algorithms Solve problems involving the addition and subtraction of four-digit whole 4m26numbers and multiplication of one-digit whole numbers 4m32
• Use estimation when solving problems involving the addition, subtraction and 4m34multiplication of whole numbers to help judge for reasonableness 4m83
• Select an appropriate operation with reasoning 4m84Consolidation and Summative Tasks
EduGAINS-Mathematics Page 2 of 18
TIPS4Math Grade 4Addition of Four-Digit Whole Numbers
Gap Closing J/I Student Book: Minds • Review subtraction with Unit 1 Activity 3 Part B: Minds On On regrouping of 2-digit
numbersOERB ID: ELO1470460• Add two 3-digit numbers in context, with tools and models• Anchor Chart for adding and subtracting
Relating Situations to Mathematical Operations pp 6 - 11
Gap Closing J/I Facilitator Guide: Relating Situations to Mathematical Operations pp 6 - 11
Action •
•
Solve problems involving thesubtraction of four-digitnumbers usingstudent-generated andstandard algorithmsUse estimation to check forreasonableness
Unit 1 Activity 3 Part B: Action • Discussion – total populations of towns and
compare how much larger with tools andmodels
• Assignment 2 Part B Subtraction: Drag andDrop Math
• Assignment 3: Sums and Differences
Note: supplementation required for additional contextual problems, strategies around friendly numbers or decomposing/composing numbers and adding or subtracting the bits
Consolidation Unit 1 Activity 3 Part B: Consolidation • Journal – addition and subtraction strategies
Guide to Effective Instruction: Number Sense and Numeration Grades 4 – 6 Vol. 3• pp 35 – 41 Chairs, Chairs, and
More Chairs!Minds • Create arrays Unit 1 Activity 9 Part A: Minds On On OERB ID: ELO1470520
• Discussion – split array
Note: commutative property not yet addressed in this activity – supplementation required for decomposing a number into products (e.g. 7 x 24 could be 7 x 8 x 3 or 7 x 6 x 4 or 7 x 4 x 2 x 3 etc.)
• pp 41 – 42 How Many Fruits?• pp 42 – 43 Splitting Arrays• p 43 Some More, Some Less
mathies• Whole Number Rods• Colour Tiles• Number Line• Money
Action • Multiply two-digit wholenumbers by one-digit whole
Unit 1 Activity 9: Action • Discussion – 7 x 24 and compare to 150 in
numbers using a variety oftool, student-generated andstandard algorithmso base ten materials,
arrays, number line, areamodels, place value,composing, decomposing
context• Anchor chart for multiplication and division
strategies• Assignment 1: Multiplication
o Math Playgroundo 1-digit x 2-digit practice
• Assignment 2: Multiplication Practice
NCTM Illuminations• Looking for Patterns• Factor Findings• Modeling Multiplication with
Streets and Avenues Multiplyand Conquer
• Use estimation when solvingproblems
o multiplying with strategies and contextGap Closing J/I Student Book: Relating Situations to Mathematical Operations pp 12 – 17
Gap Closing J/I Facilitator Guide: Relating Situations to Mathematical Operations pp 6 - 11
Consolidation Unit 1 Activity 9: Consolidation • Discussion – use representations of 3 x 17 to
• Create arrays Unit 4 Activity 3: Minds On OERB ID: ELO1470720• Arrays – interactive tool• Discussion – describe and make conclusions about 5 sets of numbers and their arrays
Note: good depth of numbers to 9 x 9 but supplementation required for decomposing a number into products (e.g. 7 x 24 could be 7 x 8 x 3 or 7 x 6 x 4 or 7 x 4 x 2 x 3 etc.)
Action •
•
•
Practise 2-Digit x 1-Digit multiplication using tools Investigate the commutative property to multiply 2-digit by 1-digit numbersUse properties to determine the missing number in equations
Teacher GuideUnit 4 Activity 4: The Distributive PropertyOERB ID: ELO1471940
mathies• Whole Number Rods• Colour Tiles
Minds • Model 2-digit x 1-digit Unit 4 Activity 4: Minds On On multiplication OERB ID: ELO1470760
• Discussion – Solve 14 x 9 and share strategies(base ten, array and open array shown)
Note: supplementation required for additional practice at this
Action •
•
•
Practise 2-Digit x 1-Digit multiplication using tools Investigate the distributive property to multiply 2-digit by 1-digit numbersMake connections to strategies and tools used earlier
Unit 4 Activity 4: Action • Math Live: Multiplication of Whole Numbers
o decomposing numbers in arrays, repeatedo addition
• Group Work – 9 x 52• Did You Know? – split array• Anchor chart for distributive property• Assignment 1 – Distributive Property and
MultiplicationConsolidation Unit 4 Activity 4: Consolidation
• Discussion – Can 6 x 95 be solved with(2 x 95) + (2 x 95) + (2 x 95)?
Guide to Effective Instruction: Number Sense and Numeration Grades 4 – 6 Vol. 4• pp 35 – 41 Intramural Minds • Use concrete materials to share equally Unit 1 Activity 9 Part B: Minds On
On OERB ID: ELO1470520• Dare to Share Fairly – division (2- digit by 1-digit) with decomposing tens and remainders
mathies• Whole Number Rods• Colour Tiles• Number Line• Money• Set Tool
Action • Divide two-digit whole numbers by one-digit whole numbers, with and without remainders, using a variety of tools, student-generated and standard algorithms
Unit 1 Activity 9 Part B: Action • Discussion – contextual division with partitive and quotative division • Anchor chart for division strategies • Assignment 3: Division o paper pencil
Note: supplementation required for• practice of partitive and quotative division• strategies other than split array
NCTM Illuminations• A Squadron of Bugs: Introducing Division with Remainders with a BookConsolidation Unit 1 Activity 9 Part B: Consolidation
Specific Expectations: 4m26, 4m32, 4m34, 4m83, 4m84
Learning Focus Blended Learning Other Resources
Minds On
• Estimate solutions to problems involving grade appropriate addition, subtraction, multiplication or division
mathies• Whole Number Rods• Colour Tiles• Number Line• Money• Set Tool
NCTM Illuminations• Get the Picture-Get the Story
Gap Closing J/I Student Book: Relating Situations to Mathematical Operations
Gap Closing J/I Facilitator Guide: Relating Situations to Mathematical Operations
Action •
•
•
Solve problems involving the addition and subtraction of four-digit whole numbers and multiplication of one-digit whole numbersUse estimation when solving problems involving the addition, subtraction and multiplication of whole numbers to help judge for reasonablenessSelect an appropriate operation with reasoning
TIPS4Math Grade 4Addition of Four-Digit Whole NumbersResource URLTeacher Guide: https://download.elearningontario.ca/repository/14/1471910000/Gr%204%20Math%20U1%20Unit 1 Activity 3: Addition & Teacher%20Notes/Combined%20Teacher%20Notes%20for%20Activities%201%20-%2012/con-Subtraction with Whole Numbers tent_3.htmlUnit 1 Activity 3 Part A: Minds On https://download.elearningontario.ca/repository/14/1470460000/GR4MTH-EPU01A03/content.htmlUnit 1 Activity 3 Part A: Action https://download.elearningontario.ca/repository/14/1470460000/GR4MTH-EPU01A03/content_2.
htmlAssignment 1: About … https://download.elearningontario.ca/repository/14/1470460000/GR4MTH-EPU01A03/assignment.
htmlUnit 1 Activity 3 Part A: https://download.elearningontario.ca/repository/14/1470460000/GR4MTH-EPU01A03/content_3.Consolidation htmlmathies: http://mathies.ca/learningTools.php#Mm0Moneymathies: http://mathies.ca/learningTools.php#Nn0Number line
EduGAINS-Mathematics Page 12 of 18
TIPS4Math Grade 4Subtraction of Four-Digit Whole NumbersResource URLTeacher Guide: https://download.elearningontario.ca/repository/14/1471910000/Gr%204%20Math%20U1%20Unit 1 Activity 3: Addition & Teacher%20Notes/Combined%20Teacher%20Notes%20for%20Activities%201%20-%2012/con-Subtraction with Whole Numbers tent_3.htmlUnit 1 Activity 3 Part B: Minds On https://download.elearningontario.ca/repository/14/1470460000/GR4MTH-EPU01A03/content_4.
htmlUnit 1 Activity 3 Part B: Action https://download.elearningontario.ca/repository/14/1470460000/GR4MTH-EPU01A03/content_5.
htmlAssignment 2 Part B Subtraction: https://download.elearningontario.ca/repository/14/1470460000/GR4MTH-EPU01A03/assignment.Drag and Drop Math htmlAssignment 3: https://download.elearningontario.ca/repository/14/1470460000/GR4MTH-EPU01A03/assignment.Sums and Differences htmlUnit 1 Activity 3 Part B: https://download.elearningontario.ca/repository/14/1470460000/GR4MTH-EPU01A03/content_6.Consolidation htmlmathies: http://mathies.ca/learningTools.php#Mm0Moneymathies: http://mathies.ca/learningTools.php#Nn0Number lineGap Closing J/I Student Book: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Ju-Relating Situations to nior-Int/GCU6_SB_RelatingSituations.pdfMathematical OperationsGap Closing J/I Facilitator Guide: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Ju-Relating Situations to nior-Int/GCU6_FG_RelatingSituations.pdfMathematical Operations
EduGAINS-Mathematics Page 13 of 18
TIPS4Math Grade 42-Digit x 1-Digit Multiplication Using ToolsResource URLTeacher Guide: https://download.elearningontario.ca/repository/14/1471910000/Gr%204%20Math%20U1%20Unit 1 Activity 9: Operations Teacher%20Notes/Combined%20Teacher%20Notes%20for%20Activities%201%20-%2012/con-Part 5: Multiplication & Division tent_9.htmlUnit 1 Activity 9 Part A: Minds On https://download.elearningontario.ca/repository/14/1470520000/GR4MTH-EPU01A09/content.htmlUnit 1 Activity 9: https://download.elearningontario.ca/repository/14/1470520000/GR4MTH-EPU01A09/content_2.Action htmlAssignment 1: https://download.elearningontario.ca/repository/14/1470520000/GR4MTH-EPU01A09/assignment.Multiplication htmlAssignment 2: https://download.elearningontario.ca/repository/14/1470520000/GR4MTH-EPU01A09/assignment.Multiplication Practice htmlUnit 1 Activity 9: https://download.elearningontario.ca/repository/14/1470520000/GR4MTH-EPU01A09/content_3.Consolidation htmlGuide to Effective Instruction: http://oame.on.ca/eduproject/ontariomathedresources/files/Number%20Sense%20and%20Numer-Number Sense and Numeration ation%20Vol%203%20Multiplication%204-6.pdfGrades 4 – 6 Vol. 3mathies: http://mathies.ca/learningTools.php#Ww0Whole Number Rodsmathies: http://mathies.ca/learningTools.phpColour Tilesmathies: http://mathies.ca/learningTools.php#Nn0Number Linemathies: http://mathies.ca/learningTools.php#Mm0MoneyNCTM Illuminations: http://illuminations.nctm.org/Lesson.aspx?id=1267Looking for PatternsNCTM Illuminations: http://illuminations.nctm.org/Lesson.aspx?id=3280Factor FindingsNCTM Illuminations: http://illuminations.nctm.org/Lesson.aspx?id=3210Modeling Multiplication with Streets and AvenuesMultiply and Conquer
htmlAlien Algebra Part 2 – https://download.elearningontario.ca/repository/14/1470720000/GR4MTH-EPU04A03/content_3.Multiplication and Addition htmlPropertiesAlien Algebra Part 3 – Find https://download.elearningontario.ca/repository/14/1418540000/preloader.htmlMissing NumbersAssignment 2 – https://download.elearningontario.ca/repository/14/1470720000/GR4MTH-EPU04A03/assignment.Missing Numbers htmlmathies: http://mathies.ca/learningTools.php#Ww0Whole Number Rodsmathies: http://mathies.ca/learningTools.phpColour TilesNCTM Illuminations: http://illuminations.nctm.org/Lesson.aspx?id=1251Hopping on the Number LineNCTM Illuminations: http://illuminations.nctm.org/Lesson.aspx?id=2602Number Line JourneysNCTM Illuminations: http://illuminations.nctm.org/Lesson.aspx?id=3697Times Square: Reinforcing Multiplication Skills Using Factors and Strategy
htmlUnit 1 Activity 9 Part B: https://download.elearningontario.ca/repository/14/1470520000/GR4MTH-EPU01A09/content_6.Consolidation htmlGuide to Effective Instruction: http://oame.on.ca/eduproject/ontariomathedresources/files/Number%20Sense%20and%20Numer-Number Sense and Numeration ation%20Vol%204%20Division%204-6.pdfGrades 4 – 6 Vol. 4mathies: http://mathies.ca/learningTools.php#Ww0Whole Number Rodsmathies: http://mathies.ca/learningTools.phpColour Tilesmathies: http://mathies.ca/learningTools.php#Nn0Number Linemathies: http://mathies.ca/learningTools.php#Mm0Moneymathies: http://mathies.ca/learningTools.php#Ss1Set ToolNCTM Illuminations: http://illuminations.nctm.org/Lesson.aspx?id=3751A Squadron of Bugs: Introducing Division with Remainders with a Book
EduGAINS-Mathematics Page 17 of 18
TIPS4Math Grade 4Divide 2-Digit Numbers by 1-Digit Whole Numbers – PracticeResource URLmathies:Whole Number Rods
http://mathies.ca/learningTools.php#Ww0
mathies:Colour Tiles
http://mathies.ca/learningTools.php
mathies:Number Line
http://mathies.ca/learningTools.php#Nn0
mathies:Money
http://mathies.ca/learningTools.php#Mm0
mathies:Set Tool
http://mathies.ca/learningTools.php#Ss1
Solve ProblemsResource URLmathies:Whole Number Rods
http://mathies.ca/learningTools.php#Ww0
mathies:Colour Tiles
http://mathies.ca/learningTools.php
mathies:Number Line
http://mathies.ca/learningTools.php#Nn0
mathies:Money
http://mathies.ca/learningTools.php#Mm0
mathies:Set Tool
http://mathies.ca/learningTools.php#Ss1
NCTM Illuminations:Get the Picture-Get the Story
https://illuminations.nctm.org/Lesson.aspx?id=869
Gap Closing J/I Student Book: Relating Situations to Mathematical Operations
