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iii
Book A
1 Numbers to 10 000
2 Addition up to 10 000
3 Subtraction up to 10 000
4 Using Bar Models: Addition and Subtraction
5 Multiplication Facts for 8, 9, and 10
Book B
6 Multiplication
7 Division
8 Using Bar Models: Multiplication and Division
9 Length, Mass, and Capacity
10 Money
11 Time
Book C
12 Fractions
13 Decimals
14 Area and Perimeter
15 Volume of 3-D Objects
16 Angles, Lines, and Locations
17 Geometry
18 Graphs and Statistics
19 Probability
At a Glance
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4C
Consultant and AuthorDr. Fong Ho Kheong
AuthorsChelvi Ramakrishnan, Michelle Choo, Gan Kee Soon, and Dr. Ng Wee Leng
Canadian Curriculum Advisor Dr. Douglas Edge
Canadian Program AdvisorJean Ford
Canadian Indigenous ReviewersRachel CosfordMichelle Evans
Student Book
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nelson.com/MMPOntarioReport
Learn about the research and efficacy behind Singapore Math®
and Nelson’s My Math Path
v
12.4 Fractions of a Set 27Learn Identify fractions of a set. • Use fractions to describe parts of sets. • Determine the number of items in a fraction of a set.Hands-On Activity Use counters to identify equivalent fractions.Let’s Explore Whole numbers can be written as fractions.
Put on Your Thinking Cap!� 34Chapter Wrap Up� 35
Chapter Opener 38
Recall Prior Knowledge 39Quick Check
13.1 Understanding Tenths 42Learn Express fraction tenths as decimals. • Determine equivalent ones and tenths. • Write decimals. • Count forward by tenths. • Measure lengths using tenths.• Use place value to understand whole-number and decimal amounts.• Write decimals in expanded form.
13.2 Comparing Decimals 53Learn Use models to determine 0.1 more than or 0.1 less than. • Extend a decimal pattern. • Use place values to compare decimals. • Use place values to order decimals.Game Decimal Game!
13.3 Fractions and Decimals 61Learn Express fractions as decimals. • Express decimals as fractions.Hands-On Activity Fold paper strips to identify equivalent fractions and decimals.Game Match Game
Decimals13Chapter
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Chapter Opener 1
Recall Prior Knowledge 2Quick Check
12.1 Understanding Fractions 5Learn Read and write fractions. • Numerator and denominator of a fraction. • Use models to show fractions as part of a whole. • Count forward by fractionsbeyond 1 whole.
12.2 Equivalent Fractions 10Learn What are equivalent fractions? • Use number lines to identify equivalent fractions.Hands-On Activity Fold paper strips to determine equivalent fractions. • Draw rectangles on grid paper to understand equivalent fractions.
12.3 Comparing Fractions 15Learn Use models to compare like fractions. • Use models to compare and order 3 like fractions. • Compare unlike fractions with the same numerator. • Compare fractions to 0, 1
2, and 1 using number lines. • Compare more unlike
fractions. • Compare and order unlike fractions.Hands-On Activity Fold paper strips to compare fractions with 1
2 as a
benchmark. • Use fraction circles to compare fractions.Math Journal
Fractions
Contents
12Chapter
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13.4 Adding Decimals 68Learn Add decimal tenths without regrouping. • Add decimals with regrouping in tenths. • Add decimals with regrouping in ones and tenths.Game Make Wholes
13.5 Subtracting Decimals 73Learn Subtract decimal tenths without regrouping. • Subtract decimals with regrouping in ones and tenths. • Subtract decimals from whole numbers.Game Break a Whole!
Put on Your Thinking Cap! 78Chapter Wrap Up 79
Chapter Opener 81
Recall Prior Knowledge 82 Quick Check
14.1 Area and Perimeter of Rectangles 86Learn Determine the area and perimeter of rectangles. • Rectangles with the same area but different perimeters. • Rectangles with the same perimeter but different areas.Hands-On Activity Making squares and rectangles using a geoboard • Estimate and measure the area and perimeter of square and rectangular faces of objects.Let’s Explore Use a geoboard to explore the perimeter and area of a rectangle. • Use area models to explore the perimeter and area of a rectangle.
Area and Perimeter14Chapter
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Chapter Opener 104
Recall Prior Knowledge 105 Quick Check
15.1 Building 3-D Objects Using Unit Cubes 107Learn Build 3-D objects using unit cubes.Hands-On Activity Use unit cubes to build 3-D objects.Let’s Explore Build as many different 3-D objects as possible.
15.2 Volume of 3-D Objects 111Learn Compare the volumes of objects. • Measure the volumes of cubes and rectangular prisms in cubic units. • Measure the volume of a 3-D object in cubic units. • Compare the volumes of 3-D objects. • Use units of measurement to describe volume. • Compare the volumes of 3-D objects.Hands-On Activity Use a given number of cubes to form different 3-D objects.Let’s Explore Explore a formula for the volume of a rectangular prism.
15.3 Drawing Cubes and Rectangular Prisms 121Learn Draw cubes and rectangular prisms on isometric dot paper. • Draw cubes and rectangular prisms without showing the unit cubes.
Put on Your Thinking Cap! 125Chapter Wrap Up 126
14.2 Area and Perimeter of Polygons 96Learn Estimate and measure the area and perimeter of polygons.Hands-On Activity Estimate the areas of 6- and 7-sided polygons. • Write problems about polygons.
Put on Your Thinking Cap! 102Chapter Wrap Up 103
Volume of 3-D Objects15Chapter
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Chapter Opener 127
Recall Prior Knowledge 128Quick Check
16.1 Identifying Angles 134Learn Compare angles to benchmark angles.Hands-On Activity Identify benchmark angles.
16.2 Drawing Perpendicular Line Segments 139Learn Use a set square to draw perpendicular line segments.Hands-On Activity Use a straightedge or a ruler to draw perpendicular line segments.
16.3 Drawing Parallel Line Segments 142Learn Draw a line segment parallel to segment PQ. • Draw a parallel line segment that goes through a given point.Hands-On Activity Draw parallel line segments.
16.4 Horizontal and Vertical Lines 146Learn Identify horizontal and vertical lines.
16.5 Locations on a Grid Map 148Learn Read points on a grid map. • Describe locations on a grid map.
Put on Your Thinking Cap! 153Chapter Wrap Up 154
Angles, Lines, and Locations16Chapter
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Chapter Opener 156
Recall Prior Knowledge 157Quick Check
17.1 Quadrilaterals 160Learn Identify a square and its properties. • Identify a rectangle and its properties. • Identify other quadrilaterals and their properties. • Classify quadrilaterals by their properties.
17.2 Reflection 171Learn Identify and draw lines of symmetry. • Identify and perform reflections.Hands-On Activity Mirror Images • Lines of ReflectionLet’s Explore Symmetric Designs with Pattern Block Grids
17.3 Geometric Patterns 178Learn Create patterns by reflecting 2-D shapes. • Extend a repeating shape pattern and predict terms.Hands-On Activity Pattern Block Patterns
Geometry17Chapter
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17.4 Prisms and Pyramids 182Learn Identify and describe prisms and pyramids. • Classify prisms and pyramids.Hands-On Activity Construct prisms and pyramids.Let’s Explore Compare prisms and pyramids.
17.5 Nets of Prisms and Pyramids 188Learn Identify the net of a cube. • Identify the net of a rectangular prism. • Identify the net of a triangular prism. • Identify the net of a pyramid.Hands-On Activity Nets of Cubes • Identify a prism from a net. • Construct a 3-D object to identify its net. • Nets of PyramidsLet’s Explore Identify the net of a cube.
Put on Your Thinking Cap! 197Chapter Wrap Up 198
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Chapter Opener 200
Recall Prior Knowledge 201Quick Check
18.1 Double Bar Graphs 205Learn Display 2 sets of similar data in a double bar graph. • Interpret a double bar graph.Hands-On Activity Collect data and display it in a double bar graph.
18.2 Median and Range 212Learn Determine the median of a data set. • Determine the range of a data set.Hands-On Activity Determine the median by marking off pairs of ordered data, or on a line plot.Let’s Explore Use number cards to identify a median.
18.3 Stem-and-Leaf Plots 220Learn Make a stem-and-leaf plot. • Use a stem-and-leaf plot to determine the median, mode, and range.Hands-On Activity Make a stem-and-leaf plot.
18.4 Comparing Data 225Learn Compare 2 sets of data using a double bar graph. • Compare 2 sets of data using stem-and-leaf plots.
Put on Your Thinking Cap! 231Chapter Wrap Up 232
Graphs and Statistics18Chapter
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Chapter Opener 234
Recall Prior Knowledge 235Quick Check
19.1 Predicting Outcomes of an Experiment 238Learn Predict the frequency of an outcome of a simple event. • Predict the frequency of an outcome involving 2 simple events.Hands-On Activity One-Coin Toss • Two-Coin TossLet’s Explore Number Cube SumsMath Journal
Put on Your Thinking Cap! 247Chapter Wrap Up 248
Glossary 249
Index 267
Credits 278
Probability19Chapter
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1
How many of the quilt squares show a heart or hearts? What fraction of the quilt are these squares?
12Chapter
Fractions
Lessons12.1 Understanding Fractions 12.2Equivalent Fractions12.3Comparing Fractions12.4Fractions of a Set
A fraction can be represented in different ways.
BIG IDEA
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2 Chapter12 Fractions
Understandingfractions
A fraction names equal parts of a whole.
Identifyingunitfractions
A unit fraction names one of the equal parts of a whole.
1 third is a unit fraction.
3 fourths is not a unit fraction.
Fractionsofaset
There are 12 swans in a pond.8 of the swans are black.The rest of the swans are white.
2 thirds of the swans are black.1 third of the swans are white.
1 whole � 2 halves
1 quarter 1 quarter 1 quarter 1 quarter
3 fourths
1 whole � 4 fourths 1 whole � 3 thirds
1 third
1 third
1 third
1 third
RECALL PRIOR KNOWLEDGE
or 4 quarters
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Chapter12 Fractions 3
Matchtheunitfractionswiththeircorrectmodels.
1 Models Unit fractions
• •1 fifth
• •1 third
Readinganumberline
The numbers on this number line increase by 1.The arrow points to 6.
0 1 2 3 4 5 6 7 8 9 10
QuickCheck
• • 1 sixth
• • 1 quarter
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4 Chapter12 Fractions
Whatarethemissingnumbers?
2
3
Fillintheblanks.
4 The stars are sorted according to colour.
There are stars in equal groups.
3 of the stars are yellow.
1 of the stars are blue.
Usethenumberlinetocompletethesentence.
5 The arrow points to .
The rectangle has equal parts.
eighths of the rectangle is red.
eighths of the rectangle is blue.
eighths and eighths make a whole.
The circle has equal parts.
tenths of the rectangle is green.
tenths of the rectangle is orange.
tenths and tenths make a whole.
2221201918171615141312
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Lesson12.3 Comparing Fractions 15
LEARN Usemodelstocomparelikefractions.
Which is greater, 14 or
34?
14
34
14
34
14 and
34 have the same denominator
They are likefractions.
34 is greater than
14.
When fractions have the same denominator, the greater fraction is the one with the greater numerator.
Goals• Compare and order like fractions and unlike
fractions.• Compare and order fractions using benchmark
fractions.
12.3Lesson
Comparing Fractions
Vocabularylike fractions
unlike fractions
benchmark fraction
The 2 wholes are the same size, with the same number of equal parts.
There are more parts of the whole shaded in 34 than in 14.
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16 Chapter12 Fractions
GUIDED LEARNINGComplete.
1 Which is less, 25 or
45?
25
45
GUIDED LEARNINGOrderthefractionsfromleasttogreatest.
2
is the greatest.
is the least.
, ,
least greatest
35
55
25
LEARN Usemodelstocompareandorder3likefractions.Order the fractions from greatest to least.
24
34
14
In order from greatest to least, the fractions are34 ,
24 ,
14
greatest least
34 is the greatest.
14 is the least.
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Lesson12.3 Comparing Fractions 17
3 Rachel bakes 2 equal-sized chicken pies.She cuts each pie into 10 equal parts.
Clara eats 3
10 of a pie, and Priscilla eats 2
10 of the other pie.
a Who eats more?310
210
Clara
Priscilla
is greater than .
eats more.
Priscilla gives her remaining pie to Tom to eat.
b What fraction of the pie does Tom eat?
c Who eats the most?
is greater than and .
eats the most.
d Who eats the least?
eats the least.
Tom eats of the pie.
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Lesson12.3 Comparing Fractions 19
HANDS-ON ACTIVITY
1 Cut out 2 paper strips of the same size.
STEP
1 Fold each paper strip in half twice.
STEP
2 Unfold the paper strips. Use a pencil to draw along
the fold lines.
STEP
3 Shade 1 strip to show a fraction greater than 12 .
The shaded fraction is .
STEP
4 Shade the other paper strip to show a fraction that is less than 12 .
The shaded fraction is .
Materials: • 2 paper strips of
the same size
12
34
14
You can only compare fractions from the same whole or equal-sized wholes.
LEARN Comparefractionsto0, 12
,and1usingnumberlines.
Zoe ate 12 of a vegetarian pie.
Lena ate 34 of an equal-sized
vegetarian pie.
Abby ate 14 of another
equal-sized vegetarian pie.
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18 Chapter12 Fractions
LEARN Compareunlikefractionswiththesamenumerator.
Which is greater, 14 or
15 ?
14 and
15 have different denominators.
They are unlikefractions.14 is greater than
15.
When fractions have the same numerator, the greater fraction is the one with the smaller denominator.
Which fraction is less, 210 or
23 ?
210
23
When fractions have the same numerator, the smaller fraction is the one with the greater denominator.
GUIDED LEARNINGComplete.
4 Which is greater, 13 or
14 ? 5 Which is less,
310 or
35 ?
is greater than . is less than .
14
15
13
14
35
310
The fractions have the same numerator, so compare the denominators.
210 is less than
23 .
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Lesson12.3 Comparing Fractions 21
GUIDED LEARNINGComparethefractions.
6
is greater than .
7
is less than .
Fillinthemissingfractionsonthenumberlines.
80
0 1
125
110
210
410
610
710
810
510
35
Usethenumberlinesin 8 tocomparethefractions.Chooseor .
945
910
10 3
10 15
56
12
45
78
12
710
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20 Chapter12 Fractions
34 1214 12
0 114
24
34
0 112 1
2 and 24 are equivalent.
Lena had a bigger part than Zoe.34 is greater than
12 .
Abby had a smaller part than Zoe.14 is less than
12 .
The number lines show 12 ,
14 , and
34 .
Compare the fractions to 12.
34 is greater than
12 .
14 is less than
12 . So
34 is greater than
14.
Compare the fractions to 1. 34 is closer to 1 than
14 is.
So 34 is greater than
14.
Compare the fractions to 0. 14 is closer to 0 than
34 is.
So 14 is less than
34.
12
34
14
Zoe Lena Abby
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Lesson12.3 Comparing Fractions 23
GUIDED LEARNINGUsethenumberlinestocomparefractionswith 1
2.
11 Which is greater, 23 or
14 ?
12
fractions less than
12
13
23
12
fractions greater than
14
24
34
0 1
0 1
0 1
Is each fraction greater
than or less than 12 ?
12 Which is greater, 25 or
710 ?
Determinethepossiblefractions.
13 Write 3 fractions, 2 of which are
greater than 12 .
12
fractions less than
12
15
25
35
45
12
fractions greater than
110
210
310
410
610
710
910
510
810
0 1
0 1
0 1
You could also compare both fractions to 0 or 1.
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22 Chapter12 Fractions
LEARN Comparemoreunlikefractions.
Which is greater, 34 or
15 ?
Compare the fractions 34 and
15 with the benchmarkfraction
12 .
12
fractions less than
12
14
34
24
12
fractions greater than
15
25
35
45
0 1
0 1
0 1
34
12
15
12
So 34
15 .
224 or
210
423 or
35
22 Chapter12 Fractions
HANDS-ON ACTIVITY
When you compare fractions with 12 like this, you are
using 12 as a benchmark fraction. Benchmark fractions
can help you compare fractions.
Which fraction is greater?Use fraction circles to help you.
145 or
23
33
10 or24
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Lesson12.3 Comparing Fractions 25
Method2. Usemodels.
Compare 34 and
110 with
12 .
34 is greater than
12 .
110 is less than
12 .
110 ,
12 ,
34
least greatest
GUIDED LEARNINGOrderthefractionsfromleasttogreatest.
14 45 ,
14 ,
12 , ,
Orderthefractionsfromgreatesttoleast.
15 12 ,
910 ,
25 , ,
110
12
34
12
LET’S PRACTISECompare.
1 Which is less, 3
10 or 35 ? 2 Which is greater,
13 or
25 ?
Orderthefractionsfromleasttogreatest.
3 4
10 , 34 ,
12 , ,
Orderthefractionsfromgreatesttoleast.
4 13 ,
35 ,
12 , ,
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24 Chapter12 Fractions
LEARN Compareandorderunlikefractions.
Method1. Useanumberline.
Order 12 ,
34 , and
110 from least to greatest.
From the number line, 34 is the greatest and
110 is the least.
In order from least to greatest, the fractions are
110 ,
12 ,
34
least greatest
Use 12 as the benchmark fraction
to compare 34 and 110 .
34 1
2
110 12
0 112
0
0 1
1
34
1414
24
110
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MATH JOURNAL
Solve.
Matthew, Jackson, and Ethan each have an equal-sized fraction strip.Matthew divides his fraction strip into 10 equal parts and shades 7 parts.The fraction he shades is greater than Jackson’s and Ethan’s.Jackson’s fraction is less than Ethan’s.How would you divide and shade Jackson’s and Ethan’s fraction strips?
1 How would you divide and shade Jackson’s fraction strip? Describe your steps.
2 Compare and order 12,
45, and
710 . Record your steps.
3 Which halves can be compared? Explain your answer.
Matthew’s strip shows 710
.
First, I divide Ethan’s strip in half.12
is less than 710
.
Ethan’s fraction could be 12
.
I shade 1 part of Ethan’s strip.
12
12
12
12
A B C D
26 Chapter12 Fractions
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Lesson12.4 Fractions of a Set 27
LEARN Identifyfractionsofaset.There are 4 maple leaves. 3 out of the 4 maple leaves are red.
What fraction of the maple leaves are red?34 of the maple leaves are red.
GUIDED LEARNINGIdentifythefractionsofaset.
There are 8 pencils.
1 What fraction of the pencils are red?
2 What fraction of the pencils are blue?
3 What fraction of the pencils are black?
4 What fraction of the pencils are not red?
red maple leaves3
4
total number of maple leaves
12.4Lesson
Goals• Read, write, and identify fractions of a set.• Determine the number of items in a fraction of a set.• Express whole numbers as fractions.• Recognize fractions that are equal to whole numbers.
Fractions of a Set
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Lesson12.4 Fractions of a Set 29
LEARN Determinethenumberofitemsinafractionofaset.
12 plates are divided into 4 equal groups. 9 out of 12 plates are blue. 3 out of 4 groups of plates are blue.34 of the plates are blue.
So 34 of 12 is 9.
The shaded parts in the bar model show 34 of the set.
Determine 34 of 12.
4 units 12 1 unit 12 4 5 33 units 3 3 5 9
So 34 of 12 is 9.
?
12
You can determine the items in the fractional part of a set by using a bar model.
GUIDED LEARNINGComplete.
8 Jamal has 10 toy cars.35 of the toy cars are yellow.
How many toy cars are yellow?
toy cars are yellow.
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28 Chapter12 Fractions
LEARN Usefractionstodescribepartsofsets.Here is a set of 12 maple leaves.The set of maple leaves is divided into 4 equal groups.3 out of 4 groups of maple leaves are red.
34 is 3 out of 4 equal groups.
What fraction of the maple leaves are red?
34 of the maple leaves are red.
GUIDED LEARNINGComplete.
5 The set of bows is divided into equal groups.
6 What fraction of the bows are pink?
of the bows are pink.
7 What fraction of the bows are blue?
of the bows are blue.
9 out of 12 leaves are red.912
5 34
6 out of 10 bows are pink.610
5 35
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9 Determine 35 of 10 to determine how many cars are yellow.
5 units
1 unit
3 units
So 35 of 10 5
toy cars are yellow.
?
10
Draw a bar model.Divide it into 5 parts.Shade 3 parts.
HANDS-ON ACTIVITY
Work in pairs.
STEP
1 Your teacher will give each pair a bag of counters. Use the counters to show the fraction 12. For example:
STEP
2 Show a fraction equivalent to 12 by using more counters. How many more counters of each colour did you add? Write the equivalent fraction represented by the counters.
STEP
3 Repeat STEP
2 3 more times. How many more counters of each colour did you add each time? Write the equivalent fractions represented by the counters.
Materials: • counters (red and yellow)
30 Chapter12 Fractions
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Lesson12.4 Fractions of a Set 31
Lookatthepictures.Thenanswerthequestion.
3 Which set shows the fraction 34 coloured? Set
Solve.
There are 8 fruits.
1 What fraction of the fruits are peaches?
2 What fraction of the fruits are strawberries?
LET’S PRACTISE
Set C
Set B
Set D
Set A
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32 Chapter12 Fractions
Solve.
4 Jerry had 12 granola bars.
His friends ate 23 of them.
How many granola bars did his friends eat?
Determine 23 of 12 to determine how many granola
bars his friends ate.
3 units granola bars
1 unit granola bars
2 units granola bars
So 23 of 12 5 granola bars
His friends ate granola bars.
?
12 granola bars
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Let’sExplore!
LET’S EXPLORE
Whole numbers can be written as fractions.
The number 1 5 11 . 1 1 5 1
1 3 5 31 , 4 5
2 5 5
Whole numbers can be written as other fractions.
The number 1 can also be written as 22 because2 2 5 1.
3 Write another fraction for 1.
What do you notice about the fractions 42 ,
84 , and
63 ?
4 Write another fraction for 2.
Write 2 fractions to show each of these numbers.
5 5 5 5 6 6 5 5
What numbers are shown by these fractions?
7 71 8
102
9 2010 10
324
Lesson12.4 Fractions of a Set 33
The fraction bar represents division. 11 means the same as 1 1.
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34 Chapter12 Fractions
PUT ON YOUR THINKING CAP!
P RO B L E M S O LV I N G
1 The model shows 34 .
How much of the shading must be erased so that the remaining
shaded part is 38 of the strip?
2 Gary, Joey, and Kylie shared a vegetarian pizza.The pizza was divided into 9 equal slices.
Gary ate 29 of the pizza.
Joey ate more pizza than Kylie.Together they finished the whole pizza.
What are some possible fractions that show the part of the pizza that Joey and Kylie each ate?
What is the greatest possible fraction that describes the part of the
pizza that Kylie ate?
34 Chapter12 Fractions
Try drawing the model in another way.
Try drawing a model first.
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Chapter12 Fractions 35
Youhavelearned...
to understand fractions, numerator, and denominator:
Unit fractions
12 is one half. 1
3 is one third. 14 is one fourth or one quarter.
15 is one fifth. 1
6 is one sixth. 17 is one seventh.
18 is one eighth.
19 is one ninth.
110 is one tenth.
111 is one eleventh.
112 is one twelfth.
Identifying fractions to make a whole
25 and
35 make 1 whole.
Numerator and denominator
Numerator: The number of equal parts shaded.24 Denominator: The number of equal parts the whole is divided into.
Proper and improper fractions15, 35 Proper fractions: The fraction is less than 1 whole. The numerator is less
than the denominator.
55, 65 Improper fractions: The fraction is greater than or equal to 1 whole.
The numerator is greater than or equal to the denominator.
CHAPTER WRAP UPA fraction can be represented in different ways.
BIG IDEA
12(M)MIFG4_NonCC_SE(C)_Ch12.indd 35 04/04/20 6:17 PM
36 Chapter12 Fractions
Equivalent fractions:
Using a model Using a number line
to compare and order fractions:
Like fractions are fractions with the same denominators. Unlike fractions are fractions with different denominators.
Comparing like fractions5
10 is the greatest.
110 is the least.
510 ,
310,
110
greatest least
Comparing unlike fractions with the same numerator
110 is less than
15 .
14 is greater than
15 .
14 ,
15,
110
greatest least
310
510
110
15
110
14
When the denominators are the same, compare the numerators.
1 whole
12 shaded
24 shaded
0 12
0 24
14
34
1
1
12(M)MIFG4_NonCC_SE(C)_Ch12.indd 36 04/04/20 6:18 PM
Chapter12 Fractions 37
to use number lines and benchmarks of 0, 12 , and 1:
45
12
310
12
So, in order from greatest to least, the fractions are45 ,
12 ,
310
greatest least
to write whole numbers as fractions.
Examples: 0 5 04 1 5
33 2 5
21 5
42 5
63
to determine fractions of a set using models.
46 of the buttons are blue.
26 of the buttons are not blue.
66 of the buttons are round.
12 of the set of circles is red.
12 of 8 is 4.
12 of the bar model is shaded.
12 of 8 is 4.
8
4
12
fractions less than
12
15
25
35
45
12
fractions greater than
110
210
310
410
610
710
910
510
810
0 1
0 1
0 1
12(M)MIFG4_NonCC_SE(C)_Ch12.indd 37 04/04/20 6:18 PM
4C
My Math Path 1–8 brings together the proven Singapore Math approach with Canadian curriculum–aligned content. The series blends procedural and conceptual understanding to support student success and mathematical mastery. My Math Path 1–8 encourages students to think critically and persevere when solving problems using strategies that promote visualization. The purposeful lesson structure aims to boost student confidence and mathematical understanding, fostering positive attitudes toward math.
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