### Our curriculum is spiral

Please note that our virtual Singapore Math Grade 5 curriculum is spiral and it provides for the review of the important concepts that students learned in Grade 4. The introduction of new mathematical concepts is built upon topics covered earlier with increased level of difficulty. Our online math K-5 curriculum is aligned with all standard Singapore Math textbook series and it includes all content that these series cover, from Kindergarten through fifth grade.

Our Singapore Math for 5th Grade may introduce some topics one grade level earlier. In the few instances where 5th grade level units don’t exactly align between our curriculum and textbooks, you will still be able to locate the corresponding topic in our program by referring to the table of contents of our 5th or 4th grade levels.

## Correspondence to 5A and 5B

For your reference, the following topics in our curriculum correspond to Singapore Math grade level 5A and 5B:

### Singapore Math 5A

Understanding the place value system; multiplying and dividing whole numbers; numerical expressions and patterns; decimals; adding and subtracting decimals; multiplying and dividing decimals.

### Singapore Math 5B

Adding and subtracting fractions and mixed numbers; multiplying and dividing fractions; converting measurement units; volume; two-dimensional figures; coordinate plane and graphs.

### Student prior knowledge

Students should be familiar with place-value concepts for numbers up to 1,000,000, including comparing and ordering whole numbers of up to six places. Students should be able to mentally add/subtract a 1-digit number to/from a 2-digit number. Students should know how to use the standard algorithm to add and subtract multi-digit numbers; know multiplication and division facts; be able to multiply and divide a multi-digit whole number by a 1-digit whole number using the standard algorithm. Students should know the concepts of a unit fraction, equivalent fractions, mixed numbers and improper fractions. Students should be able to add and subtract fractions with the same denominator or with related denominators where one denominator is a multiple of the other. Students should know how to find the area of a rectangle and be familiar with units of area.

## 5th Grade Singapore Math Scope and Sequence

• Understanding The Place Value System

This unit is primarily a review of the place-value concepts learned in earlier levels and it covers multi-digit numbers. Students will extend their knowledge of the place-value concept to hundred billions or numbers up to 12 digits in standard and expanded form.

• Multiplying And Dividing Whole Numbers

This unit covers multiplying by tens, hundreds, and thousands; multiplying whole numbers, powers of 10, dividing whole numbers, word problems involving multiplication and division. Students will learn how to mentally multiply and divide whole numbers of up to four digits by tens, hundreds or thousands.

• Numerical Expressions And Patterns

This unit covers interpreting numerical expressions and using letters as numbers.

• Decimals

This unit covers understanding of tenths, hundredths, thousandths, and comparing and rounding decimals. Students will be able to related each digit in a decimal to its place value, compare and order decimals, write decimals as fractions, and round a decimal to one or two decimal places.

This unit covers adding and subtracting decimals and solving word problems involving decimals.

• Multiplying And Dividing Decimals

This unit covers multiplying, dividing and estimating decimals as well as solving word problems involving multiplication and division of decimals.

• Adding And Subtracting Fractions And Mixed Numbers

This unit covers adding and subtracting unlike fractions, understanding of fraction as division, adding and subtracting mixed numbers, solving word problems involving fractions and mixed numbers.

• Multiplying And Dividing Fractions

This unit covers multiplying proper and improper fractions, multiplying mixed numbers and whole numbers, multiplying fractions to find area, dividing a fraction by a whole number, dividing a whole number by a unit fraction, and solving word problems with multiplying and dividing fractions.

• Converting Measurement Units

This unit covers metric and customary length, mass, weight, volume, time, and conversion of metric units.

• Volume

This unit covers understanding and measuring volume, volume of a rectangular prism, volume of a liquid, and solving word problems involving volume.

• Two-Dimensional Figures

This unit covers classification of triangles and four-sided figures. Students will extend their knowledge of area and composite figures to find area and classify triangles and four-sided figures.

• Coordinate Plane And Graphs

This unit covers displaying data using a line plot, the coordinate system, and analyzing patterns and relationships.

• Ratio

This unit covers understanding the concept of ratio; finding ratio; comparing two or three quantities using ratio; expressing a ratio of two or three quantities in simplest form; using a comparison model to represent a ratio of two quantities; solving word problems involving ratios of two or three quantities.

• Percentage

This unit covers reading and interpreting a percentage of a whole; expressing a fraction as a percentage; expressing decimals as a percentage; expressing percentage as a fraction; solving word problems involving percentage tax, discount and interest.