Singapore Math

Common Core Edition Textbooks 4A & 4B, and Textbooks 5A & 5B

number concepts to 1 000 000

Book 4A:

Unit 1: Whole Numbers: Numbers to 1,000,000, Approximation, Multiples, Factors, Order of Operations,

REVIEW 1

Book 5A:

Unit 1: Whole Number: Large Numbers, Approximation and Estimation, Factors and Multiples

Prime Factorization, Multiplying by Tens, Hundreds, or Thousands, Dividing by Tens, Hundreds, or Thousands,

REVIEW 1

Unit 2: More Calculations with Whole Number: Order of Operations, Methods for Mental Calculation, Looking Back: Word Problems, Multiplication by a 2-Digit Whole Number, Division by a 2-Digit Whole Number,

REVIEW 2

decimals to thousandths

Book 5B:

Unit 7: Decimals: Tenths, Hundredths, and Thousandths, Approximation, Add and Subtract Decimals, Multiply and Divide Decimals by a 1-Digit Whole Number, Multiplication by Tens, Hundreds, or Thousands, Division by Tens, Hundreds, or, Thousands

REVIEW 7

Unit 8: More Calculations:

Multiplication by a 2-Digit Whole Number

Division by a 2-Digit Whole Number

Multiplication by a Decimal, Division by a Decimal

Conversion of Measures

REVIEW 8

equivalent fractions

Book 5A:

Unit 3: Fractions: Looking Back

Fractions and Division

Addition and Subtraction of Unlike Fractions

Addition and Subtraction of Mixed Numbers

Product of a Fraction and a Whole Number

Word Problems

REVIEW 3

Book 5B:

Unit 12: Percentage: Percent, Writing Fractions as Percentages, Percentage of a Quantity

REVIEW 12

whole-number, fraction, and decimal benchmarks

Book 5A:

Unit 3: Fractions:

REVIEW 3

Unit 4: Multiply and Divide Fractions:

REVIEW 4

Book 5B:

Unit 7: REVIEW 7

Unit 8: More Calculations:

REVIEW 8

addition and subtraction of whole numbers to 1 000 000

Book 4A:

Unit 1: Whole Numbers: Numbers to 1,000,000, Approximation, Multiples, Factors, Order of Operations

REVIEW 1

multiplication and division to three digits, including division with remainders

Book 5B:

Unit 8: More Calculations: Multiplication by a 2-Digit Whole Number, Division by a 2-Digit Whole Number, Multiplication by a Decimal, Division by a Decimal, Conversion of Measures

REVIEW 8

addition and subtraction of decimals to thousandths

Book 5B:

Unit 7: Decimals: Tenths, Hundredths, and Thousandths, Approximation, Add and Subtract Decimals, Multiply and Divide Decimals by a 1-Digit Whole Number, Multiplication by Tens, Hundreds, or Thousands, Division by Tens, Hundreds, or, Thousands

REVIEW 7

addition and subtraction facts to 20 (extending computational fluency)

Book 4A:

Unit 2: The Four Operations of Whole Numbers: Addition and Subtraction

multiplication and division facts to 100 (emerging computational fluency)

Book 4A:

Unit 2: The Four Operations of Whole Numbers: Multiplication by a 1-Digit Number, Division by Ones and Tens, Multiplication by a 2-Digit Number

Unit 3: Fractions: Adding and Subtracting Like Fractions

Unit 4: Operations on Fractions: Adding and Subtracting Related Fractions/Adding and Subtracting Mixed Numbers

rules for increasing and decreasing patterns with words, numbers, symbols, and variables

Book 5A:

Unit 1: Whole Number: Large Numbers, Approximation and Estimation, Factors and Multiples

Prime Factorization, Multiplying by Tens, Hundreds, or Thousands, Dividing by Tens, Hundreds, or Thousands

REVIEW 1

one-step equations with variables

Supplementation Required

Explore: Book 5B:

Unit 7: Multiply and Divide Decimals by a 1-digit Whole Number

Unit 8: More Calculations: Multiplication by a 2-Digit Whole Number, Division by a 2-Digit Whole Number, etc.

area measurement of squares and rectangles

Book 5B:

Unit 9: Volume: Cubic Units, Volume of Rectangular Prisms, Finding the Volume of a Solid

REVIEW 9

Unit 11: Angles, Triangles, and Quadrilaterals: Looking Back, Finding Unknown Angles, Finding, Unknown Angles in Triangles, Finding Unknown, Angles in Quadrilaterals

REVIEW 11

relationships between area and perimeter

Book 5A:

Unit 5: Perimeter and Area Square Units

Area of Composite Figures – Rectangles and Squares, Area of a Triangle, Area of a Parallelogram

REVIEW 5

duration, using measurement of time

Supplementation Required

classification of prisms and pyramids

Book 5B:

Unit 9: Volume: Cubic Units, Volume of Rectangular Prisms, Finding the Volume of a Solid

REVIEW 9

single transformations

Supplementation Required

one-to-one correspondence and many-to-one correspondence, using double bar graphs

Book 5B:

Unit 10: Average, Plots, and Graphs, Average, Line Plots, Coordinate Graphs, Line Graphs

REVIEW 10

probability experiments, single events or outcomes

Supplementation Required

financial literacy — monetary calculations, including making change with amounts to 1000 dollars and developing simple financial plans

Supplementation Required

Curricular Competencies

Reasoning/Analyzing

Use reasoning to explore and make connections

Many lessons in this curriculum can be used to meet this competency through discussion and exploration of number concepts

Estimate reasonably

Book 4A: Unit 1: Whole Numbers: Approximation

Develop mental math strategies and abilities to make sense of quantities

Book 5A:

Unit 2: More Calculations with Whole Number: Methods for Mental Calculation

Model mathematics in contextualized experiences

Supplementation Required

Understanding/Solving

Develop, demonstrate, and apply mathematical understanding through play, inquiry, and problem solving

Many lessons in this curriculum can be used to meet this competency through discussion and exploration of number concepts

Visualize to explore mathematical concepts

Many lessons in this curriculum can be used to meet this competency through discussion and exploration of number concepts

Develop and use multiple strategies to engage in problem solving

Many lessons in this curriculum can be used to meet this competency through discussion and exploration of number concepts

Engage in problem-solving experiences that are connected to place, story, cultural practices, and perspectives relevant to local First Peoples communities, the local community, and other cultures

Many lessons in this curriculum can be used to meet this competency through discussion and exploration of number concepts

Communicating/Representing

Communicate mathematical thinking in many ways

Many lessons in this curriculum can be used to meet this competency through discussion and exploration of number concepts

Use mathematical vocabulary and language to contribute to mathematical discussions

Many lessons in this curriculum can be used to meet this competency through discussion and exploration of number concepts

Explain and justify mathematical ideas and decisions

Many lessons in this curriculum can be used to meet this competency through discussion and exploration of number concepts

Represent mathematical ideas in concrete, pictorial, and symbolic forms

Book 5A:

Unit 6: Ratio: Finding Ratio,, Equivalent Ratios, Combining Three Quantities

REVIEW 6

Book 5B:

Unit 13: Rate

REVIEW 13

Connecting/Reflecting

Reflect on mathematical thinking

Many lessons in this curriculum can be used to meet this competency through discussion and exploration of number concepts

Connect mathematical concepts to each other and to other areas and personal interests

Many lessons in this curriculum can be used to meet this competency through discussion and exploration of number concepts

Incorporate First Peoples worldviews and perspectives to make connections to mathematical concepts

First Peoples perspectives are not covered