GO Math PB_G3 EN

AUTHORS PROGRAM CONSULTANTS
Dr Tippawan Nuntrakune
Dr Calvin Irons
James Burnett
Peter Stowasser
Allan Turton
Jaye Kelly

INTRODUCTION

ORIGO GO Math is a world-class comprehensive mathematics program, developed by a team of
experts to provide a balanced approach to teaching and learning mathematics. There is one page for
each of the 12 lessons in every unit. This sample shows the key components.

Components of a lesson 2.1 Addition: Investigating patterns

Unit and lesson number. 1. Write the missing numbers in each set below.
This example shows Unit 2,
Lesson 1. SET A SET B SET C
8 + = 18
The lesson title tells 24 + = 52 117 = + 19
the content of the lesson. + 20 = 29
It has two parts: the stem 25 + = 52 118 = + 19 10 + 30 =
(or big idea), and the leaf
(which gives more details). 26 + = 52 119 = + 19 + 40 = 51

27 + = 52 120 = + 19

2. a. Look at the sets of equations in Question 1.
In Set A, how did the ones digits change in the numbers you wrote?

b. In Set C, how did the totals change?

c. Write the next equation in Set A.

d. Write the next equation in Set B.

e. Write the next equation in Set C.

3. Write the missing numbers in each set below.

a. , 158, 168, , , 198
, 550, , 560
128, 138, , 130, , 140

b. , ORIGO GO Math • Grade 3 © ORIGO Education

525, 530, 535,

c. , 120,

105, 110,

18

Developed for the latest national Numbers Measurement
curriculum and Algebra and Geometry

ORIGO GO Math has been developed to help today’s teachers Problem solving
prepare students for tomorrow’s world. It reflects research into
the teaching and learning of mathematics, while simultaneously Reasoning
addressing the latest national curriculum.
Communication
The diagram below (right) shows the three content strands
of the latest national curriculum that are appropriate for Making connections of
Kindergarten to Grade 6. Central to the strands are all mathematical ideas
essential skills and processes. ORIGO GO Math embeds
these in each learning experience throughout the year. Creative thinking

Statistics and © ORIGO Education
Probability

2 ORIGO GO Math   • Grade 3

LEARNING TARGET

© ORIGO Education LESSONS LEARNING TARGET
UNIT 1
Read and write number names, Hindu-Arabic numerals and Thai numerals for whole numbers
1.1, 1.2, 1.3, up to 100,000
1.4, 1.5 Compare and order whole numbers up to 100,000 in given situations
Identify fractions; read and write fractions to represent quantities and use objects to represent
1.6, 1.7, 1.8 a given fraction
1.9, 1.10, 1.11, 1.12
Read and write number names, Hindu-Arabic numerals and Thai numerals for whole numbers
UNIT 2 up to 100,000
2.1, 2.2, 2.3, Find the missing number in number patterns that increase by a common difference for whole
numbers up to 100,000
2.4, 2.9, 2.10, 2.11, 2.12 Find the unknown in number sentences involving addition of whole numbers up to 100,000
2.1
Find the unknown in number sentences involving subtraction of whole numbers up to 1,000
2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8
UNIT 3 Solve word problems involving money
Solve 2-step problems involving addition, subtraction, multiplication, and division of whole numbers
3.1, 3.2, 3.3, 3.4, 3.5, up to 100,000
3.6, 3.7, 3.8, 3.12
3.9, 3.10, 3.11, 3.12 Find the unknown in number sentences involving multiplication of a 1-digit number and a 1-, 2-, 3-,
3.12 4-digit number
Compare and order whole numbers up to 100,000 using symbols
UNIT 4 Find the missing number in number patterns that increase by a common difference for whole
4.1, 4.2, 4.3, 4.4, 4.5, 4.6, numbers up to 100,000
4.7, 4.8, 4.11, 4.12 Solve 2-step word problems involving addition, subtraction, multiplication, and division of whole
4.9, 4.10 numbers up to 100,000
4.11, 4.12
Find the unknown in number sentences involving division with a 1-, 2-, 3-, or 4-digit dividend
4.12 and a 1-digit divisor
Solve 2-step word problems involving addition, subtraction, multiplication and division of whole
UNIT 5 numbers up to 100,000
5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, Find the unknown in number sentence involving multiplication of a 1-digit number and a 1-, 2-, 3-,
5.8, 5.9, 5.10, 5.11, 5.12 or 4-digit number
5.4, 5.12 Read and write number names, Hindu-Arabic numerals and Thai numerals for whole numbers
up to 100,000
5.1, 5.3, 5.5
Compare fractions with the same numerator
5.6, 5.7, 5.8, 5.9 Solve problems involving addition and subtraction of fractions with common denominators,
where the total is less than or equal to 1
UNIT 6 Solve word problems involving time and duration
6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7, 6.8

6.4

6.9, 6.10, 6.11, 6.12

ORIGO GO Math   • Grade 3 3

tCeOxNtTENTS

UNIT 1 Number: Representing four-digit numbers 6 © ORIGO Education
1.1 Number: Writing four-digit numerals and number names 7
1.2 Number: Writing four-digit numerals and number names (Thai) 8
1.3 Number: Writing four-digit numbers in expanded form 9
1.4 Number: Working with place value 10
1.5 Number: Locating four-digit numbers on a number line 11
1.6 Number: Comparing and ordering four-digit numbers 12
1.7 Number: Comparing and ordering three- and four-digit numbers 13
1.8 Fractions: Identifying one-half, one-fourth, and one-third 14
1.9 Fractions: Working with parts of a whole (equal size) 15
1.10 Fractions: Showing the same fraction with wholes of different size 16
1.11 Fractions: Representing the same fraction in different ways 17
1.12
Addition: Investigating patterns 18
UNIT 2 Addition: Two-digit numbers (with composing) 19
2.1 Addition: Two- and three-digit numbers (with composing) 20
2.2 Addition: Developing written methods 21
2.3 Addition: Working with the standard algorithm 22
2.4 Addition: Working with the standard algorithm (composing tens) 23
2.5 Addition: Working with the standard algorithm (composing hundreds) 24
2.6 Addition: Reinforcing the standard algorithm with three-digit numbers 25
2.7 Number: Building a picture of 10,000 26
2.8 Number: Representing five-digit numbers 27
2.9 Number: Representing five-digit numbers (Thai) 28
2.10 Number: Writing five-digit numbers in expanded form 29
2.11
2.12 Subtraction: Counting back to subtract two-digit numbers (with decomposing) 30
Subtraction: Counting back to subtract two- and three-digit numbers (with decomposing) 31
UNIT 3 Subtraction: Counting on to subtract two-digit numbers (with composing) 32
3.1 Subtraction: Counting on to subtract two- and three-digit numbers (with composing) 33
3.2 Subtraction: Working with the algorithm 34
3.3 Subtraction: Using the algorithm with two-digit numbers (decomposing tens) 35
3.4 Subtraction: Using the algorithm with three-digit numbers (decomposing tens) 36
3.5 Subtraction: Using the algorithm with three-digit numbers (decomposing hundreds) 37
3.6 Money: Identifying amounts (coins) 38
3.7 Money: Identifying amounts (bills) 39
3.8 Money: Working with bills and coins 40
3.9 Money: Solving word problems 41
3.10
3.11
3.12

4 ORIGO GO Math   • Grade 3

CTOeNxTtENTS

© ORIGO Education UNIT 4 Multiplication: Reviewing strategies 42
Multiplication: Relating multiples and factors 43
4.1 Multiplication: Extending the fours and eights facts 44
4.2 Multiplication: Using patterns to extend known facts 45
4.3 Multiplication: Reviewing the partial-products strategy (two-digit numbers) 46
4.4 Multiplication: Using the partial-products strategy (three-digit numbers) 47
4.5 Multiplication: Using the partial-products strategy (four-digit numbers) 48
4.6 Multiplication: Using the partial-products strategy (two two-digit numbers) 49
4.7 Number: Comparing and ordering five-digit numbers 50
4.8 Number: Comparing and ordering four- and five-digit numbers 51
4.9 Number: Analyzing and extending patterns 52
4.10 Number: Using patterns to solve word problems 53
4.11
4.12 Division: Reviewing the think-multiplication strategy 54
Division: Halving to divide by two, four, and eight 55
UNIT 5 Division: Finding whole number quotients and remainders 56
Division: Solving word problems with remainders 57
5.1 Division: Reviewing the relationship between multiplication and division 58
5.2 Division: Introducing the partial-quotients strategy (two-digit dividends) 59
5.3 Division: Reinforcing the partial-quotients strategy (two-digit dividends) 60
5.4 Division: Using the partial-quotients strategy (three- and four-digit dividends) 61
5.5 Division: Reinforcing the partial-quotients strategy (three- and four-digit dividends) 62
5.6 Division: Introducing the short algorithm 63
5.7 Division: Reinforcing the short algorithm (with remainders) 64
5.8 Division: Solving word problems 65
5.9
5.10 Fractions: Analyzing unit fractions 66
5.11 Fractions: Writing with symbols 67
5.12 Fractions: Representing unit fractions on a number line 68
Fractions: Representing as a sum of unit fractions 69
UNIT 6 Fractions: Relating models 70
Fractions: Comparing unit fractions (length model) 71
6.1 Fractions: Making comparisons with the same numerator (number line) 72
6.2 Fractions: Solving comparison word problems 73
6.3 Time: Reading and writing to the minute 74
6.4 Time: Duration in hours and minutes 75
6.5 Time: Converting between units 76
6.6 Time: Solving word problems 77
6.7
6.8
6.9
6.10
6.11
6.12

ORIGO GO Math   • Grade 3 5

1.1 Number: Representing four-digit numbers

1. Write numbers in the place-value charts to match the blocks.
a. b.

Th H T Ones Th H T Ones

2. L ook at the blocks. Write the matching number on the expander.
a.

b.

c.

d.

e.

© ORIGO Education

6 ORIGO GO Math • Grade 3

1.2 Number: Writing four-digit numerals and number names

1. W rite the matching number on the expander. Then write the number in words.
a.

b.

2. W rite the matching number on the expander. Then write the number in words.
a. 5,213

b. 6,205

c. 8,009

© ORIGO Education 3. Write the matching numeral or number name.
a.
7
3,707

b.
four thousand and ninety

ORIGO GO Math • Grade 3

1.3 Number: Writing four-digit numerals and number names
(Thai)

1. Write the matching Thai number on the expander. Then write the number in Thai words.
a.

b. © ORIGO Education

2. Write the matching number on the expander. Then write the Thai number name.
2. Write the matching number on the expander. Then write the Thai number name
a.

๒,๗๑๘

b.

๕,๓๐๒

2. Write the matching number on the expander. Then write the Thai number name.
3. Write the matching Thai numeral or number name.

a. ๖,๑๗๒

b. หนึ่�่งพัันสามร้้อยแปด

c. ๔,๖๙๑

8 ORIGO GO Math • Grade 3

1.4 Number: Writing four-digit numbers in expanded form

1. Write the matching number in the place-value chart. Then write the same number in
expanded form.

a. b.

Th H T Ones Th H T Ones

+ ++ + ++
+ ++
2. Write each number in expanded form. + ++
+ ++
a. 355
9
4

b. 073

3

c. 631

1

© ORIGO Education 3. Write the number in expanded form.
a. 7,835
b. 3,580
c. 4,212

ORIGO GO Math • Grade 3

1.5 Number: Working with place value

1. Write the number that is 10 less and 10 greater.

10 less 3,465 1,723 2,118 6,081 4,592 7,306
10

greater

2. Write the number that is 100 less and 100 greater.

100 less 2,399 1,708 1,825 2,107 4,059 6,925
100

greater

3. Add or subtract along the trail. Write the missing numbers in the hexagons.

4,085 +10 §100

+10

§10 +100

§100

+10 §100 © ORIGO Education

10 ORIGO GO Math • Grade 3

1.6 Number: Locating four-digit numbers on a number line

1. Write the number that should be in the position shown by each arrow.
Think carefully before you write.
a. b. c.

1,000 2,000 3,000
d. e. f.

2. Draw a line to join each number to its position on the number line.
Then write > or < in each circle to describe each pair of numbers.

a. 2,410 b. 2,430
2,350 2,470

2,300 3,450 3,100 2,400 2,500
c. d. 3,950
3,650

3,000 3,500 4,000
4,725
3. Circle the greatest number. 8,976

a. b.
4,031
6,253 6,052 6,502 4,546
9,399
© ORIGO Education c. 2,394 2,413 d.
2,486 9,010

ORIGO GO Math • Grade 3 11

1.7 Number: Comparing and ordering four digit numbers

1. Draw a line to join each number to its position on the number line.
Then write > or < in each circle to describe each pair of numbers.

a. 5,250 5,420 b. 5,850 5,550

5,000 5,500 6,000

c. 5,380 5,050 d. 5,500 5,990

2. Write each set of numbers in order from least to greatest.

a. 6,280 6,680 6,820

least greatest

,  ,

b. 6,010 5,938 5,861 5,734

least greatest

,  ,  ,

3. Shade all comparisons that are correct.

a. b. c.
8,628 = 8,829 1,947 > 1,582 2,084 ≠ 4,826

d. e. f. © ORIGO Education
6,701 < 8,437 9,452 = 9,542 4,378 > 5,382

12 ORIGO GO Math • Grade 3

1.8 Number: Comparing and ordering three- and
four-digit numbers

Use this table to answer Questions 1 and 2.

Tallest Mountains in Alaska

Name Height (meters)

Mount Saint Elias 5,489

Mount Blackburn 4,996

Mount Bona 5,044

Mount Fairweather 4,671

Mount McKinley 6,194

Mount Hubbard 4,557

Mount Foraker 5,304

Mount Sanford 4,949

Source: http://geography.about.com/od/lists/a/highestpeaksus.htm

1. Write the height of each mountain. Then write > or < to make the statement true.

a. Blackburn Sanford b. Foraker Saint Elias

m mm m
c. McKinley Blackburn
Bona d. Fairweather
m m
e. Sanford m m Fairweather
Saint Elias
m f. Bona m

mm

© ORIGO Education 2. Write the mountain heights in order from least to greatest. greatest

least 13

 ,  ,  ,

 ,  ,  ,

ORIGO GO Math • Grade 3

1.9 Fractions: Identifying one-half, one-fourth, and one-third

1. Shade one part of each shape. Then write the name of the fraction that is shaded.
a. b. c.

2. Beside each fraction name, write the picture that matches. Some fraction names match
more than one picture. Some pictures have no match.
A BC

D E F
G H I

One-half © ORIGO Education

One-third ORIGO GO Math • Grade 3
One-fourth
14

1.10 Fractions: Working with parts of a whole (equal size)

1. Circle the shapes that show one-third shaded.

a. b. c. d.

e. f. g.

© ORIGO Education 2. Color one part in each strip. Then use red to circle the strips that show
one-fourth shaded.
15
a.
b.
c.
d.
e.
f.
3. Use blue to circle the strips above that show one-half shaded.

ORIGO GO Math • Grade 3

1.11 Fractions: Showing the same fraction with wholes
of different sizes

1. Color one-third of each shape. b.
a.

2. Draw straight lines to show each shape split into the fractions shown. Try to split each
shape in the same way. Then color one part of each shape.

Fourths c. d.
a.
b.

Halves
e. f. g. h.

Thirds k. l.
i. j.
ORIGO GO Math • Grade 3
16 © ORIGO Education

1.12 Fractions: Representing the same fractions in different ways

1. Draw lines to join each fraction picture with a matching name.

one-half one-fourth one-third

2. Color the card that matches the name of each fraction.

a.

one-third one-half one-fourth
one-fourth
b.

one-third one-half

3. Use a ruler to draw straight lines that show each shape split into the fractions shown
on the labels. Then color one part of each shape. Make the splits different for each
pair of shapes.

a. Fourths b. Thirds

c. Halves d. Fourths

e. Thirds f. Halves

© ORIGO Education

ORIGO GO Math • Grade 3 17