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수학적 사고 4A: 싱가포르 수학 커리큘럼(차원 수학)

수업
Kim Musolff
평균 평점:
4.9
수강 후기 수:
(223)
한 학기 동안 진행되는 이 과정에서 학생들은 싱가포르 수학 커리큘럼(Dimensions Math)의 레벨 4A를 진행하면서 수학적으로 사고하는 방법을 배우고 문제 해결, 정신 수학 및 수학 개념에 대한 기술을 습득합니다.
보고계신 지문은 자동 번역 되었습니다

수업 소개

영어레벨 - A2
미국 3 - 5 학년
레벨 Intermediate
Singapore Dimensions Math 커리큘럼 기반
9 units//36 lessons//18 Weeks
Unit 1Chapter 1: Numbers to One Million
4 lessons2 Weeks
Chapter 1: Numbers to One Million
 Week 1
Lesson 1
Reading Large Numbers
Students look at place value past 10,000 and learn how to use commas to read large numbers. They play Pico, Fermi, Bagel to practice writing and reading large numbers.
Lesson 2
Large Number Place Value
Students play What's My Rule and Greatest or Least to practice manipulating place value of large numbers.
 Week 2
Lesson 3
Rounding Numbers
Students play Greatest or Least Rounding to practice rounding to different places.
Lesson 4
Rounding Numbers
Students play Greatest or Least Rounding to practice rounding to different places.
Unit 2Chapter 2: Addition & Subtraction
2 lessons1 Week
Chapter 2: Addition & Subtraction
 Week 3
Lesson 5
Addition
Students play a game called Sums to 1,000,000 to practice accuracy in adding 6-digit numbers.
Lesson 6
Subtraction
Students play a game called Differences Within 1,000,000 to practice accuracy in subtracting 6-digit numbers.
Unit 3Chapter 3: Multiples and Factors
4 lessons2 Weeks
Chapter 3: Multiples and Factors
 Week 4
Lesson 7
Finding Multiples
Students learn what a multiple is, and learns rules of thumb for finding out if a number is a multiple of 2, 3, 4, 5, 6, and 10. They play 5 in a Row to practice finding multiples of these numbers.
Lesson 8
Common Multiples
Students learn what a common multiple is and to find common multiples of numbers. They play 5 in a Row to practice.
 Week 5
Lesson 9
Finding Factors
Students learn what a factor is, and how it's related to multiples. Then they play Shut the Box Factors to practice finding factors.
Lesson 10
Finding Factors
Students learn how to make sure they've found all the factors of a number. Then they play The Factor Game to practice.
Unit 4Chapter 4: Multiplication
4 lessons2 Weeks
Chapter 4: Multiplication
 Week 6
Lesson 11
Long Multiplication
Students review long Multiplication. They play Mental Math Duel to see what happens when you multiply by 10, 100, and 1,000.
Lesson 12
Long Multiplication
Students play Greatest Product to practice multiplying 4-digit by 1-digit numbers.
 Week 7
Lesson 13
2-digit Multiplication
Students learn how to multiply by a 2-digit number. They play Greatest Product to practice.
Lesson 14
2-digit Multiplication
Students continue practicing multiplying by 2-digit numbers in the game Greatest Product.
Unit 5Chapter 5: Division
4 lessons2 Weeks
Chapter 5: Division
 Week 8
Lesson 15
Long Division
Students review long division and play Divvy Up to practice dividing 3-digit numbers by 6, 7, 8, and 9.
Lesson 16
Long Division
Students practice dividing 4-digit numbers by 6, 7, 8, and 9.
 Week 9
Lesson 17
Long Division
Students practice long division by playing Greatest Quotient.
Lesson 18
Long Division
Students practice long division by playing Greatest Quotient.
Unit 6Chapter 6: Fractions
4 lessons2 Weeks
Chapter 6: Fractions
 Week 10
Lesson 19
Fraction Review
Students review that a fraction is an equal part of a whole. They play Fraction Battle as a recap of the terms "numerator" and "denominator."
Lesson 20
Comparing Fractions
Students learn to use both reason and equivalent fractions to compare fractions in the game Team Fractions.
 Week 11
Lesson 21
Mixed Numbers & Improper Fractions
Students learn about mixed numbers and improper fractions. They play Mixed Number Bingo to practice converting from one form to the other.
Lesson 22
Mixed Numbers & Improper Fractions
Students continue practicing converting mixed fractions and improper fractions in Mixed Number Bingo.
Unit 7Chapter 7: Adding & Subtracting Fractions
4 lessons2 Weeks
Chapter 7: Adding & Subtracting Fractions
 Week 12
Lesson 23
Adding and Subtracting Fractions
Students play Team Fractions to review adding and subtracting fractions with unlike denominators.
Lesson 24
Adding Mixed Numbers
Students learn to add mixed numbers and play a game called Pick Two to practice.
 Week 13
Lesson 25
Subtracting Mixed Numbers
Students learn to subtract mixed numbers and play Pick Two to practice.
Lesson 26
Adding and Subtracting Mixed Numbers
Students play Closest to 5 to practice adding or subtracting mixed numbers.
Unit 8Chapter 8: Multiplying Fractions & Whole Numbers
6 lessons3 Weeks
Chapter 8: Multiplying Fractions & Whole Numbers
 Week 14
Lesson 27
Intro to Multiplying Fractions
Students learn to multiply fractions using fraction tiles. Then they play Greatest Product: Fractions to practice multiplying a fraction with a mixed number.
Lesson 28
Simplifying Fractions
Students learn how simplifying before multiplication can make the problem easier to solve. They play Fraction 24 to practice.
 Week 15
Lesson 29
Fraction of a Set
Students learn how to find a fraction of a set. They play Fraction Toss to practice.
Lesson 30
Fraction OF a Number
Students learn how to find a fraction of a number and how that's related to multiplication. They play Fraction 24 Bingo to practice.
 Week 16
Lesson 31
Practice
Students work together to complete a Fraction Domino puzzle, practicing multiplying fractions.
Lesson 32
Practice
Students continue to work on their Fraction Domino puzzle to practice multiplying fractions.
Unit 9Chapter 9: Line Graphs & Line Plots
4 lessons2 Weeks
Chapter 9: Line Graphs & Line Plots
 Week 17
Lesson 33
Line Plots
Students are introduced to line plots and work together to create a Foot Length line plot.
Lesson 34
Line Graphs
Students are introduced to line graphs and work together to create a line graph of height.
 Week 18
Lesson 35
Line Graphs
Students review line graphs and work together to design a line graph survey.
Lesson 36
Line Graphs
Students bring collected data and create a line graph.
  • At the end of the semester, your student will be able to: -Add/Subtract 5- and 6-digit numbers -Understand factors and multiples -Add, subtract, and multiply fractions
I am a certified elementary teacher who has been teaching hands-on math to young children for over 25 years.  I have taught in a variety of settings, including public school, private school, and homeschool environments.  I have been teaching Math on Outschool for over 4 years.  
수업 외 주당 1 - 2 시간
Homework
빈도: 3-6 per week
피드백: Available upon request
세부 내용: Students will be expected to complete 4-8 pages of homework each week. Assignments will be posted in the Classroom on Mondays. We DO NOT go over every problem of the homework, so if you'd like to check your student's work, you may want to purchase the Teacher's Guide. We do have about 15 minutes each class to answer specific homework questions or to go over particularly difficult problems.
Assessment
빈도: Available upon request
세부 내용: I am always informally assessing students in class and adjusting my teaching accordingly. Throughout the activities, we discuss our thinking and our strategies for approaching problems. Upon request, I will provide a written evaluation for your student.
In order to succeed in this class, students should have the following pre-requisites:
-Memorized most math facts
-Can multiply 2-digit by 1-digit numbers
-Has been introduced to fractions
I will provide downloadable activity supplies (number cards, recording sheets, etc.) if they are needed for the week's games.  Many of the games require paper/pencil, index cards and dice, so having those on hand will be helpful.  

HIGHLY RECOMMENDED MATERIALS:
Dimensions 4A Workbook, available here for about $14:  
https://www.singaporemath.com/collections/dimensions-math-pk-5/products/dimensions-math-workbook-4a?variant=40979857965245


10-sided dice, available here for about $9:  https://www.amazon.com/gp/product/B01959253Q/ref=as_li_qf_asin_il_tl?ie=UTF8&tag=mindspark0f-20&creative=9325&linkCode=as2&creativeASIN=B01959253Q&linkId=0ede864e3145b1f149f5d096a7202a02

OPTIONAL MATERIALS:
We will be using mostly virtual manipulatives, but the following can be useful for those who struggle with new concepts:

Place Value Discs (at least 10 hundreds, 20 tens, and 30 ones, available here for $10: 
https://www.amazon.com/Learning-Resources-Place-Value-LER5215/dp/B01MQXYVRC
(USED ONLY FOR MULTIPLICATION & DIVISION CHAPTERS)

Fraction Manipulatives, available here for about $18.  You can also purchase just the bars or just the circles.  
https://www.amazon.com/BMAG-Magnetic-Educational-Manipulatives-Elementary/dp/B085RK9C7Z/
(USED ONLY FOR FRACTION CHAPTERS)
Dimensions Math: https://www.singaporemath.com/pages/dimensions-math-pk-5-for-schools
가입일: April, 2020
4.9
223수강 후기
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