Exhibitor Workshop for Singapore Math, Inc. April 17, 2015 Description: During Singapore Math® implementation, gaps in student knowledge can be a challenge. Upper elementary students frequently lack the foundation provided by the 1-3rd grade Singapore Math® Curriculum. In this session, you’ll learn the classroom-tested critical lessons and concepts students must master before jumping into their grade-level content.

1. Filling in Knowledge Gaps:
Critical lessons across grade levels
1-3 for students in grade 4-6
NCTM - 2015 Annual Meeting & Exposition - Boston
Cassy Turner
Cassy@SingaporeMathSource.com
SingaporeMathSource.com SingaporeMath.com

2. Cassy Turner
Cassy@singaporemathsource.com
Twitter Bio: Passionate about Singapore Math,
Teacher/Trainer/Coach/Treasure Hunter/ Learner
Answer to the ultimate question? 42.
Handout and slides at:
singaporemathsource.com/
resources/handouts

4. Development of Addition and Subtraction
Grade 1
 Number Bonds
 With strategies to 40 and 100
Grade 2
 Vertical algorithm within 1000 (Main lessons)
Grade 3
 Vertical algorithm within 10,000
Grades 4 - 6
 Review and apply algorithm to larger numbers

5. 2
?
10

6. 2278
?

11. 3B Mental
Math

12. 4A Four Operations of Whole Numbers

13. 4B Decimals

14. Development of Addition and Subtraction
Grade 1
 Number Bonds
 With strategies to 40 and 100
Grade 2
 Vertical algorithm within 1000 (Main lessons)
Grade 3
 Vertical algorithm within 10,000
Grades 4 - 6
 Review and apply algorithm to larger numbers

15. 7 + 6 = ?
Making Ten
3 3

16. 7 + 6 = ?
Making Ten
3 4

18. 22 - 3 = ?
Grade 1 - Addition and Subtraction: Numbers to 40

19. onestens

20. onestens

21. 3-
22
12
10 22
- 3
9
1
1
12
onestens
Grade 2

23. Development of Addition and Subtraction
Grade 1
 Number Bonds
 With strategies to 40 and 100
Grade 2
 Vertical algorithm within 1000 (Main lessons)
Grade 3
 Vertical algorithm within 10,000
Grades 4 - 6
 Review and apply algorithm to larger numbers

24. Regrouping/Renaming
onestens
24 + 37 110 10
1
11
1 1 1
1 1 1
1
101010

25. Regrouping/Renaming
onestens
24 + 37 110 10
101010
10
24
+ 37
1
1
6

28. Addition and Subtraction – What’s Next?
Grades 3 - 6
 Review and apply algorithm to larger
numbers

29. Development of Multiplication/Division
Grade 2
 Understand multiplication and division as
related operations
 Learn multiplication and division facts for 2,
3, 4, 5 and 10

30. 2A
Multiplication

32. 2A Division

35. Grade 3
 Multiply a 2- or 3-digit number by a 1-digit
number
 Division algorithm, including remainders
 Learn multiplication and division facts for 6, 7, 8,
and 9.
 Area & Perimeter
Development of Multiplication/Division

36. 3A Multiplying Tens and Ones

37. 36 x 3
30 6
10 10 10
1
11
11
1

38. onestenshundreds
10 10
10
10
10 10
10
10
10
1
11
11
1
1
11
11
1
1
11
11
1

39. onestenshundreds
10 10
10
10
10 10
10
10
10
1
11
11
1
1
11
11
1
1
11
11
1
10

40. onestenshundreds
10 10
10
10
10 10
10
10
10
1
1
1
11
11
1
10
100

41. 3A Quotient and Remainder

42. 53 ÷ 2= ?
tens
2
2 53
-4
1
10 10 101010
111
onestens
111
111
11
11

43. 53 ÷ 2= ?
tens ones
2
2 53
-4
1 3
10
10
10
10
1
onestens
11
11
11
1
1
11
11
6
-1 2
1
R 1

45. Grade 3
 Multiply a 2- or 3-digit number by a 1-digit
number
 Division algorithm, including remainders
 Learn multiplication and division facts for 6,
7, 8, and 9.
 Area & Perimeter
Development of Multiplication/Division

46. 3A
Multiplication by 7

47. 3A
Multiplication by 7

48. 3B Area

49. Grade 4
 Multiply with 10,000 by a 2-digit number
 Find factors and multiples with 100
 Use divisibility rules for 2, 3, 5, 6, 9 and 10
 Use Order of Operations to solve expressions
 Area, Perimeter & Volume
Grade 5
 Divide numbers to 10,000 by a 2-digit divisor
Multiplication/Division – What’s Next?

50. Development of Fractions
Grade 1
 Halves and fourths
Grade 2
 Name and illustrate fractions as parts of a
whole to twelfths.
 Order unit fractions

51. 2B Fractions

52. Development of Fractions
Grade 3
 Compare fractions by numerators and
denominators
 Find equivalent fractions and simplest form of
a fraction
 Fractions and Measurement
 Fraction of a Set

53. 3B Comparing
Fractions

54. 3B
Equivalent
Fractions

56. 3B Fractions and Measurement

57. Fractions – What’s Next?
Grade 4
 Add and subtract like and related fractions
 Convert between mixed numbers and
improper fractions
 Multiply a fraction by a whole number
Grade 5
 Multiply a fraction by a fraction
 Divide a fraction by a whole number
 Divide a whole number by a fraction

58. Decimal Development
Grade 3
 Add and subtract money
 Multiply & divide money
Grade 4
 Understand, locate on a number line and
compare tenths, hundredths, thousandths
 Apply four operations up to 2 decimal places
 Convert fractions to decimals
Grade 5
 Apply four operations up to 3 decimal places

59. Development of Bar Modeling
Grade 2
 Examples in materials to explain fractions
Grade 3
 Introduces part-whole and comparison models
for four operations
 Explain equivalent fractions

60. Jamie has 6 apples.
Kara has 8 apples.
How many apples do they have altogether?

61. Jamie has 6 apples.
Kara has 8 apples.
How many apples do they have altogether?
6 8
?
They have 14 apples altogether.
?
86

62. Sam scored 9 points in the basketball game.
Keisha scored 6 points. How many more
points did Sam score than Keisha?
Sam
Keisha

63. Sam scored 9 points in the basketball game.
Keisha scored 6 points. How many more points
did Sam score than Keisha?
Sam
Keisha
?6
9
9
?6

64. A refrigerator costs $1739. An oven is $850 cheaper
than the refrigerator. Mrs. Coles buys both the
refrigerator and the oven. How much does she pay?
Step 1:
How much for the oven?
Step 2:
How much altogether?
fridge
oven
?
$1739
$850?
$1739 – $850 = $889
The oven cost $889
$1739 + $889 = $2628
Mrs. Coles paid $2628 for the
oven and refrigerator.

65. 3A Two-Step
Word Problems
Multiplication and
Division

67. Bar Modeling – What’s Next?
Grade 4
 Two step word problems for four operations
 Two step word problems involving fractions
and decimals
Grade 5
 Multi-step word problems for four operations
 Multi-step word problems with average rate,
ratio and percentage

68. Questions?

69. Handout:
singaporemathsource.com/resources/handouts
More info: Singaporemath.com
Thanks for
coming!