Download - Dimensions Math Scope & Sequence PKA
xii © 2019 Singapore Math Inc.
Dimensions Math® Scope & Sequence
PKA
PKB
Chapter 1Match, Sort, and ClassifyRed and Blue
1, 2, 3
Big and Small
Yellow and Green
1, 2, 3, 4, 5 — Part 1
Long and Short
Color Review
1, 2, 3, 4, 5 — Part 2
Tall and Short
Chapter 2Compare Objects
Chapter 5
Soft and HardRough, Bumpy, and SmoothSticky and GrainySize — Part 1Size — Part 2Sort Into Two GroupsPractice
Heavy and LightPractice
Movement PatternsSound PatternsCreate Patterns
Chapter 3Patterns
Practice
Count 1 to 5 — Part 1Count 1 to 5 — Part 2
Chapter 4Numbers to 5— Part 1
Practice
Count On and BackCount 1 ObjectCount 2 ObjectsCount Up to 3 ObjectsCount Up to 4 ObjectsCount Up to 5 ObjectsHow Many? — Part 1How Many? — Part 2How Many Now? — Part 1How Many Now? — Part 2
How Many? — Part 1How Many? — Part 2How Many Do You See?How Many Do You See Now?Practice
Count to 10 — Part 1Count to 10 — Part 2
0
Chapter 6Numbers to 10— Part 1
Count BackOrder NumbersCount Up to 6 ObjectsCount Up to 7 ObjectsCount Up to 8 ObjectsCount Up to 9 Objects
Chapter 7Numbers to 10— Part 26789100 to 10Count and Match — Part 1Count and Match — Part 2Practice
Chapter 8Ordinal Numbers
Second and ThirdFirst
Fourth and FifthPractice
Rectangles and CirclesBuild with Solids
Squares
PositionsCubesCubes, Cylinders, and Spheres
Chapter 9Shapes and Solids
Count Back
Practice
Count Up to 10 Objects — Part 2
How Many?
Count Up to 10 Objects — Part 1
Numbers to 5 — Part 2
Triangles
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Practice
Squares, Circles, Rectangles, and Triangles — Part 1
Squares, Circles, Rectangles, and Triangles — Part 2
Chapter 11Compose and Decompose
Altogether — Part 2Show MeWhat’s the Other Part? —
Part 1What’s the Other Part? —
Part 2Practice
Altogether — Part 1
More or Fewer?Practice
Chapter 10Compare Sets
Which Set Has Fewer?Which Set Has More?Match Objects
Chapter 12Explore Addition and Subtraction
Add to 5 — Part 2
Subtract Within 5 — Part 1
Add to 5 — Part 1
Two Parts Make a WholeHow Many in All?
Subtract Within 5 — Part 2How Many Are Left?
Practice
Chapter 13Cumulative Review
Review 2 Big and SmallReview 3 Heavy and LightReview 4 Count to 5Review 5 Count 5 Objects
Review 1 Match and Color
Review 6 0Review 7 Count Beads
Looking Ahead 7 Reading and Math
Looking Ahead 6 Getting Ready to Write Numerals
Review 8 PatternsReview 9 LengthReview 10 How Many?Review 11 Ordinal Numbers
Count Up to 7 ThingsCount Up to 9 ThingsCount Up to 10 Things —
Part 1
Count 1 to 10
Chapter 3Numbers to 10
KA
Same and SimilarLook for One That Is DifferentHow Does it Feel?Match the Things That Go Together
Left and Right
SortPractice
Chapter 1Match, Sort, and Classify
Numbers to 5
Count Things Up to 5Recognize the Numbers 1 to 3Recognize the Numbers
4 and 5
Count to 5
Count and MatchWrite the Numbers 1 and 2Write the Number 3Write the Number 4Trace and Write 1 to 5ZeroPicture GraphsPractice
Chapter 2
Review 13 Which Set Has More?
Looking Ahead 1 Sequencing — Part 1
Review 16 SubtractionReview 15 Put Together
Looking Ahead 5 Subtraction
Looking Ahead 4 Addition
Looking Ahead 3 Categorizing
Review 12 Solids and Shapes
Review 14 Which Set Has Fewer?
Looking Ahead 2 Sequencing — Part 2
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Recognize the Numbers 6 to 10
Count Up to 10 Things — Part 2
Write the Numbers 6 and 7
Write the Numbers 6 to 10Count and Write the
Numbers 1 to 10Ordinal Positions
PracticeOne More Than
Write the Numbers 8, 9, and 10 Chapter 6
Weight — Part 1
Weight — Part 2Weight — Part 3Capacity — Part 1Capacity — Part 2Practice
Comparing Numbers Within 10
More and FewerMore and LessPractice — Part 1Practice — Part 2
Same and More
Parts Making a WholeLook for a PartNumber Bonds for 2, 3, and 4Number Bonds for 5Number Bonds for 6Number Bonds for 7Number Bonds for 8Number Bonds for 9Number Bonds for 10Practice — Part 1Practice — Part 2Practice — Part 3
Chapter 4
Solid ShapesClosed ShapesRectanglesSquares
Curved or Flat
Circles and TrianglesWhere is It?HexagonsSizes and ShapesCombine ShapesGraphsPractice
Shapes and Solids
Chapter 7Numbers to 20Ten and Some MoreCount Ten and Some MoreTwo Ways to CountNumbers 16 to 20Number Words 0 to 10Number Words 11 to 15Number Words 16 to 20
Chapter 9
Introduction to Addition — Part 1
Introduction to Addition — Part 2
Introduction to Addition — Part 3
AdditionCount On — Part 1Count On — Part 2Add Up to 3 and 4Add Up to 5 and 6Add Up to 7 and 8Add Up to 9 and 10
Addition
Chapter 5Compare Height, Length, Weight,and Capacity
Comparing LengthComparing Height
Height and Length — Part 1Height and Length — Part 2
Number BondsChapter 8
Number Order1 More Than or Less ThanPractice — Part 1Practice — Part 2
Putting Numbers Together — Part 1
Chapter 10SubtractionTake Away to Subtract —
Part 1
Addition PracticePractice
Putting Numbers Together — Part 2
Dimensions Math® Scope & Sequence
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Take Away to Subtract — Part 3
Take Apart to Subtract — Part 1
Take Apart to Subtract — Part 2
Count BackSubtract Within 5Subtract Within 10 — Part 1Subtract Within 10 — Part 2Practice
Addition and SubtractionAdd and SubtractPractice Addition and
SubtractionPart-Whole Addition and
SubtractionAdd to or Take AwayPut Together or Take ApartPractice
Chapter 11
Chapter 12Numbers to 100Count by Tens — Part 1
Chapter 13
Day and NightLearning About the ClockTelling Time to the Hour —
Part 1Telling Time to the Hour —
Part 2Practice
MoneyCoinsPenniesNickelsDimesQuartersPractice
Time
Chapter 14
1AChapter 1
The Number 0Order NumbersCompare Numbers
Numbers to 10
Practice
Make 8
Make 9Make 10 — Part 1Make 10 — Part 2
Chapter 3Addition
Addition as Adding MoreAddition with 0Addition with Number BondsAddition by Counting On
Addition as Putting Together
Make Addition StoriesAddition Facts
Chapter 4Subtraction
Subtraction as Taking ApartSubtraction by Counting BackSubtraction with 0Make Subtraction Stories
Subtraction as Taking Away
Subtraction with Number Bonds
Addition and SubtractionMake Addition and Subtraction
Story ProblemsSubtraction Facts
Chapter 5Numbers to 20Numbers to 20
Practice
Practice
Practice
Numbers to 10
Review 1
Take Away to Subtract — Part 2
Count by Tens — Part 2Numbers to 30Numbers to 40Numbers to 50Numbers to 80Numbers to 100 — Part 1Numbers to 100 — Part 2Count by Fives — Part 1Count by Fives — Part 2
Practice
Chapter 2Number BondsMake 6Make 7
Add or Subtract Tens or OnesOrder Numbers to 20
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Chapter 11
Chapter 12
Comparing
Numbers to 40
Making Comparison Subtraction Stories
Picture Graphs
Subtraction as Comparison
Tens and OnesCounting by Tens and OnesComparing
Numbers to 40
Chapter 13Addition and Subtraction Within 40Add Ones
Chapter 14Grouping and Sharing
SharingGrouping
Adding Equal Groups
Chapter 15Fractions
FourthsHalves
Chapter 16Numbers to 100
Count by Ones or TensCompare Numbers to 100
Numbers to 100Tens and Ones
Chapter 17Addition and Subtraction Within 100
Add TensAdd Ones — Part 2
Add Ones — Part 1
Chapter 10Length
Comparing Lengths IndirectlyComparing Lengths with Units
Comparing Lengths Directly
Practice
Practice
Practice
Practice
Practice
Practice
1B
Review 3
Chapter 6Addition to 20
Add by Making 10 — Part 2Add by Making 10 — Part 3Addition Facts to 20
Add by Making 10 — Part 1
Chapter 7Subtraction Within 20
Subtract the Ones FirstWord Problems
Subtract from 10 — Part 1
Subtraction Facts Within 20
Subtract from 10 — Part 2
Chapter 8Shapes
Grouping ShapesMaking Shapes
Solid and Flat Shapes
Practice
Practice
Practice
Chapter 9Ordinal Numbers
Word ProblemsNaming Positions
PracticeReview 2
Subtract OnesMake the Next TenUse Addition FactsSubtract from TensUse Subtraction FactsAdd Three NumbersPractice
Add Tens and Ones — Part 2Subtract Ones — Part 1Subtract from TensSubtract Ones — Part 2
Add Tens and Ones — Part 1
Subtract Tens
Dimensions Math® Scope & Sequence
PracticeSubtractionAdditionCompare Numbers to 20
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Subtract Tens and Ones — Part 2
Chapter 19Money
Counting MoneyBills
Coins
Chapter 18Time
Telling Time to the Half HourTelling Time to the 5 Minutes
Telling Time to the Hour
Practice
Practice
Practice
2AChapter 1Numbers to 1,000Tens and OnesCounting by Tens or OnesComparing Tens and OnesHundreds, Tens, and OnesPlace Value
Chapter 2Addition and Subtraction — Part 1
Practice
Strategies for AdditionStrategies for SubtractionParts and WholeComparison
Subtraction with Regrouping from Tens
Chapter 3
Subtraction with Regrouping across Zeros
Addition Without RegroupingSubtraction Without
Regrouping
Subtraction with Regrouping from Hundreds
Addition with Regrouping Ones
Practice C
Addition with Regrouping Tens
Subtraction with Regrouping from Two Places
Addition with Regrouping Tens and Ones
Practice B
Practice A
Addition and Subtraction — Part 2
MetersEstimating Length in MetersInchesUsing RulersFeetPractice
GramsKilogramsPoundsPracticeReview 1
Chapter 5Weight
The Multiplication Table of 5
Review 4
Multiplication — Part 1Multiplication — Part 2Practice ADivision — Part 1Division — Part 2Multiplication and DivisionPractice B
Chapter 6Multiplication and Division
Chapter 7Multiplication and Division of 2, 5, and 10
Counting by Hundreds, Tens, or Ones
Comparing Hundreds, Tens, and Ones
Estimating Length in Centimeters
Shopping
PracticeCentimeters
Chapter 4Length
Multiplication Facts of 5Practice AThe Multiplication Table of 2Multiplication Facts of 2
The Multiplication Table of 10Practice B
Subtract Tens and Ones — Part 1
Dividing by 2
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Dividing by 5 and 10Practice CWord ProblemsReview 2
2BChapter 8Mental Calculation
Practice B
Adding Ones MentallyAdding Tens MentallyMaking 100Adding 97, 98, or 99Practice ASubtracting Ones MentallySubtracting Tens MentallySubtracting 97, 98, or 99
The Multiplication Table of 3Multiplication Facts of 3Dividing by 3Practice A
Straight and Curved SidesPolygonsSemicircles and Quarter-
circlesPatternsSolid ShapesPractice
Chapter 9Multiplication and Division of 3 and 4
Practice CPractice B
Chapter 10MoneyMaking $1Dollars and CentsMaking Change
Practice AAdding MoneySubtracting MoneyPractice B
Chapter 11FractionsHalves and FourthsWriting Unit Fractions
Review 3
Writing FractionsFractions that Make 1 WholeComparing and Ordering
FractionsPractice
Chapter 12TimeTelling TimeTime IntervalsA.M. and P.M.Practice
Chapter 14GraphsPicture GraphsBar GraphsPractice
Chapter 15Shapes
Review 4
Chapter 13CapacityComparing Capacity
Dividing by 4
Practice C
The Multiplication Table of 4Multiplication Facts of 4
Comparing Money
Units of CapacityPractice
Review 5
3AChapter 1Numbers to 10,000Numbers to 10,000Place Value — Part 1Place Value — Part 2Comparing NumbersThe Number LinePractice ANumber PatternsRounding to the Nearest
ThousandRounding to the Nearest
HundredRounding to the Nearest TenPractice B
Dimensions Math® Scope & Sequence
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Practice A
Mental Addition — Part 1Mental Addition — Part 2Mental Subtraction — Part 1Mental Subtraction — Part 2Making 100 and 1,000Strategies for Numbers Close
to Hundreds
Chapter 2Addition and Subtraction — Part 1
Chapter 3Addition and Subtraction — Part 2
Chapter 5
Subtraction with Regrouping — Part 1
Sum and DifferenceWord Problems — Part 1Word Problems — Part 22-Step Word ProblemsPractice B
Addition with Regrouping Picture Graphs and Bar GraphsBar Graphs and TablesPracticeReview 2
Chapter 6
Multiplication
Chapter 7
Division
Multiplication with Regrouping More Than Once
Multiplying Ones, Tens, and Hundreds
Multiplication with Regrouping Tens
Multiplication Without Regrouping
Multiplication with Regrouping Ones and Tens
Practice AMultiplying a 3-Digit Number
with Regrouping Once
Practice B
Practice A
Dividing Tens and HundredsDividing a 2-Digit Number
by 2 — Part 1
Dividing a 3-Digit Number by 2
Dividing a 3-Digit Number, Quotient is 2 Digits
Dividing a 3-Digit Number by 3, 4, and 5
Dividing a 2-Digit Number by 3, 4, and 5
Practice B
Subtraction with Regrouping — Part 2
Estimating Sums and Differences — Part 1
Chapter 4Multiplication and DivisionLooking Back at
Multiplication
Estimating Sums and Differences — Part 2
Word ProblemsPractice
Strategies for Finding the Product
Practice
Looking Back at Division
Word Problems — Part 1Word Problems — Part 2
Division with RemaindersOdd and Even Numbers
2-Step Word Problems
Multiplication with Regrouping Ones
Dividing a 2-Digit Number by 2 — Part 2
Graphs and Tables
Multiplying and Dividing with 0 and 1
Review 1
3BChapter 8Multiplying and Dividing with 6, 7, 8, and 9The Multiplication Table of 6The Multiplication Table of 7Multiplying by 6 and 7Dividing by 6 and 7Practice AThe Multiplication Table of 8
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Dimensions Math® Scope & Sequence
Fractions of a WholeFractions on a Number LineComparing Fractions with
Like DenominatorsComparing Fractions with
Like NumeratorsPractice
Chapter 9Fractions — Part 1
Chapter 10Fractions — Part 2
Chapter 11Measurement
Chapter 12Geometry
Equivalent FractionsFinding Equivalent FractionsSimplifying FractionsComparing Fractions — Part 1Comparing Fractions — Part 2Practice AAdding and Subtracting
Fractions — Part 1
Meters and CentimetersSubtracting from Meters
Liters and MillilitersKilograms and Grams
Word ProblemsPractice
CirclesAnglesRight AnglesTrianglesProperties of TrianglesProperties of Quadrilaterals
Dollars and CentsMaking $10Adding MoneySubtracting MoneyWord ProblemsPractice
Adding and Subtracting Fractions — Part 2
Practice B
KilometersSubtracting from Kilometers
Chapter 15Money
Review 3
Review 5Review 4
The Multiplication Table of 9Multiplying by 8 and 9Dividing by 8 and 9Practice B
Chapter 14Time
Chapter 13Area and Perimeter
Practice
AreaUnits of AreaArea of Rectangles
Area and Perimeter
Area of Composite FiguresPractice APerimeterPerimeter of Rectangles
Units of TimeCalculating Time — Part 1
Calculating Time — Part 2
Practice B
Practice B
Practice A
Calculating Time — Part 4Calculating Time — Part 3
Using a Compass 4AChapter 1
Chapter 2
Numbers to One Million
Addition and Subtraction
Numbers to 100,000
AdditionSubtraction
Word Problems
Other Ways to Add and Subtract — Part 1
Other Ways to Add and Subtract — Part 2
Numbers to 1,000,000Number PatternsComparing and Ordering
NumbersRounding 5-Digit NumbersRounding 6-Digit NumbersCalculations and Place ValuePractice
xxi© 2019 Singapore Math Inc.
4BChapter 10
Chapter 3
Chapter 4
Chapter 7
Chapter 9
Chapter 5
Chapter 8
Chapter 6
Measurement
Multiples and Factors
Multiplication
Adding and Subtracting Fractions
Line Graphs and Line Plots
Division
Multiplying a Fraction and a Whole Number
Fractions
Metric Units of Measurement
Practice
Customary Units of WeightCustomary Units of Length
Customary Units of CapacityUnits of TimePractice A
Practice B
Fractions and Measurement— Part 1
Fractions and Measurement— Part 2
Multiples
Mental Math for Multiplication
Mental Math for Division
Equivalent Fractions
Estimation and Division
Comparing and Ordering Fractions
Dividing 4-Digit NumbersPractice A
Improper Fractions and Mixed Numbers
Expressing an Improper Fraction as a Mixed Number
Expressing a Mixed Number as an Improper Fraction
Practice BReview 1
Word ProblemsChallenging Word Problems
Practice A
Fraction of a Set
Word Problems — Part 1Word Problems — Part 2Practice
Fractions and DivisionPractice B
Adding Mixed Numbers
Practice A
Practice B
Multiplying by a Multiple of 10
Common Multiples
Common FactorsPractice
FactorsPrime Numbers and
Composite Numbers
Multiplying by a 1-Digit Number — Part 1
Multiplying by a 1-Digit Number — Part 2
Adding and Subtracting Fractions — Part 1
Line GraphsDrawing Line GraphsLine PlotsPracticeReview 2
Adding and Subtracting Fractions — Part 2
Adding a Mixed Number and a Fraction
Subtracting a Fraction from a Mixed Number
Multiplying a Unit Fraction by a Whole Number
Multiplying a Fraction by a Whole Number — Part 1
Multiplying a Fraction by a Whole Number — Part 2
Multiplying a Whole Number by a Fraction — Part 1
Multiplying a Whole Number by a Fraction — Part 2
Subtracting Mixed NumbersPractice
Multiplying by a 2-Digit Number — Part 1
Multiplying by a 2-Digit Number — Part 2
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Dimensions Math® Scope & Sequence
Area of Rectangles — Part 1
Tenths — Part 1
Area of Rectangles — Part 2
Tenths — Part 2
Multiplying Tenths andHundredths
Multiplying Decimals by aWhole Number — Part 1
Multiplying Decimals by aWhole Number — Part 2
Dividing Decimals by a WholeNumber — Part 1
Dividing Decimals by a WholeNumber — Part 2
Dividing Decimals by a WholeNumber — Part 3
Practice A
CuboidsNets of CuboidsFaces and Edges of CuboidsPractice
Quadrilaterals
Lines of SymmetrySymmetrical Figures and
PatternsPractice
The Size of Angles
Perpendicular LinesParallel LinesDrawing Perpendicular and
Parallel Lines
Measuring AnglesDrawing AnglesAdding and Subtracting Angles
Practice B
Practice
Dividing Tenths and Hundredths
Reflex Angles
Practice A
Practice AAdding HundredthsSubtracting from 1 and 0.1
Money, Decimals, and FractionsSubtracting Hundredths
Rounding Decimals
Subtracting Tenths withRegrouping
Practice B
Comparing and OrderingDecimals
Area of Composite Figures
Practice B
Hundredths — Part 1
Adding and Subtracting Tenths
Perimeter — Part 1
Hundredths — Part 2
Adding Tenths with Regrouping
Perimeter — Part 2
Expressing Decimals asFractions in Simplest Form
Expressing Fractions asDecimals
Practice
Chapter 11
Chapter 12
Chapter 14
Chapter 17
Chapter 15
Chapter 16
Chapter 13
Area and Perimeter
Decimals
Multiplication and Division of Decimals
Properties of Cuboids
Angles
Lines and Shapes
Addition and Subtraction of Decimals
Review 3
Review 4Review 5
5AChapter 1
Chapter 2
Whole Numbers
Writing and Evaluating Expressions
Numbers to One Billion
Expressions with ParenthesesOrder of Operations — Part 1Order of Operations — Part 2
Multiplying by 10, 100, and1,000
Dividing by 10, 100, and 1,000Multiplying by Tens,
Hundreds, and Thousands
Practice
Dividing by Tens, Hundreds,and Thousands
xxiii© 2019 Singapore Math Inc.
5BChapter 9Decimals
Multiplication and Division
Thousandths
Other Ways to Write andEvaluate Expressions
Word Problems — Part 1Word Problems — Part 2
Multiplying by a 2-digit Number — Part 1
Fractions and DivisionAdding Unlike FractionsSubtracting Unlike FractionsPractice A
Practice BFractions and Measurement
ConversionsFractions and AreaPractice AArea of a Triangle — Part 1Area of a Triangle — Part 2Area of Complex FiguresPractice B
Cubic UnitsVolume of CuboidsFinding the Length of an EdgePractice A
Practice B
Volume of Complex ShapesVolume and Capacity — Part 1Volume and Capacity — Part 2
Adding Mixed Numbers — Part 1
Adding Mixed Numbers — Part 2
Subtracting Mixed Numbers — Part 1
Subtracting Mixed Numbers — Part 2
Multiplying by a 2-digit Number — Part 2
Practice
Practice AWord Problems — Part 1
Word Problems
Word Problems — Part 2Fractions and Reciprocals
Multiplying a Fraction by aUnit Fraction
Multiplying a Fraction by a Fraction — Part 1
Multiplying a Fraction by a Fraction — Part 2
Practice A
Practice A
Practice B
Dividing a Whole Number by a Fraction
Practice B
Multiplying Mixed Numbers
Multiplying a Fraction by a Whole Number
Dividing a Unit Fraction by a Whole Number
Dividing a Whole Number by a Unit Fraction
Dividing a Fraction by a Whole Number
Multiplying a Whole Number by a Fraction
Practice B
Divide a 4-digit Number by a 2-digit Number
Dividing by a Multiple of TenDivide a 2-digit Number by a
2-digit NumberDivide a 3-digit Number by a
2-digit Number — Part 1Divide a 3-digit Number by a
2-digit Number — Part 2
Place Value to ThousandthsComparing DecimalsRounding DecimalsPractice AMultiply Decimals by 10, 100,
and 1,000Divide Decimals by 10, 100,
and 1,000
Chapter 3
Chapter 4
Chapter 5
Chapter 7
Chapter 8
Chapter 6Addition and Subtraction of Fractions
Multiplication of Fractions
Measurement
Volume of Solid Figures
Division of Fractions
Review 2
Review 1
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Dimensions Math® Scope & Sequence
Conversion of Measures
Adding Decimals to Thousandths
Average — Part 1
Finding the Ratio
Finding the Rate
Average — Part 2
Equivalent Ratios
Rate Problems — Part 1
Line Plots
Finding a Quantity
Coordinate Graphs
Comparing Three Quantities
Rate Problems — Part 2
Straight Line Graphs
Word Problems
Practice
Practice
Word ProblemsPractice
Meaning of PercentageExpressing Percentages
as Fractions
Subtracting DecimalsMultiplying by 0.1 or 0.01Multiplying by a DecimalPractice A
Percentages and Decimals
Practice B
Practice A
Expressing Fractions as Percentages
Word ProblemsPercentage of a Quantity
Practice B
Measuring AnglesAngles and Lines
Drawing Triangles and Quadrilaterals
Practice
The Exterior Angle of aTriangle
Classifying Triangles
Classifying QuadrilateralsAngles of Quadrilaterals
— Part 1Angles of Quadrilaterals
— Part 2
The Sum of the Angles in a Triangle
Dividing a Whole Number by a Decimal
Dividing a Whole Number by 0.1 and 0.01
Dividing by a Whole Number — Part 1
Dividing by a Whole Number — Part 2
Mental CalculationPractice B
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14
Chapter 15
The Four Operations of Decimals
Geometry
Data Analysis and Graphs
Ratio
Rate
Percentage
Review 3
Review 4Review 5