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Primary Mathematics Scope and Sequence

The scope and sequence for Singapore Math Pimary Mathematics programs.

Copyright © 2002 [SingaporeMath.com Inc.]

Whole Numbers	1A	1B	2A	2B	3A	3B	4A	4B	5A	5B	6A	6B
Ordinal numbers	X
Numbers to 20	X
Numbers and place value to 100		X
Numbers and place value to 1,000			X
Numbers and place value to 10,000					X
Numbers and place value to 100,000							X
Numbers and place value to 10,000,000								X
Approximation, to nearest 10 / 100							X
Approximation to, nearest 100 / 1,000									X

Operations on Whole Numbers	1A	1B	2A	2B	3A	3B	4A	4B	5A	5B	6A	6B
Add/Subt of 2-digit numbers within 20	X
Add/Subt of 2-digit numbers within 100		X
Add/Subt of 3-digit numbers			X
Add/Subt of 4-digit numbers					X
Mult/Div concepts		X
Mult/Div of 2's and 3's			X
Mult/Div of 4's, 5's and 10's				X
Mult/Div of 6's, 7's, 8's, and 9's					X
Mult/Div of 3-digit by 1-digit numbers					X
Estimation in Add/Subt/Mult/Div							X
Factors and multiples							X
Mult/Div of 4-digit by 1-digit numbers							X
Mult of up to 4 digit by 2-digit numbers							X		X
Div of up to 4 digit by 2-digit numbers									X
Order of operations									X

Fractions	1A	1B	2A	2B	3A	3B	4A	4B	5A	5B	6A	6B
Halves and quarters		X		X
Writing fractions				X
Fraction of a whole						X
Equivalent fractions						X
Comparing and ordering unlike fractions						X
Mixed numbers and improper fractions							X
Add/Subt of related fractions							X
Add/Subt of unrelated fractions									X
Add/Subt of mixed numbers									X
Product of a fraction and a whole number							X
Product of fractions									X
Fraction as division									X
Div of a fraction by a whole number									X
Informal division of fractions										X

Mental Math	1A	1B	2A	2B	3A	3B	4A	4B	5A	5B	6A	6B
Add/Subt of 1-digit numbers	X
Add/Subt of 2-digit numbers and 1's and 10's		X
Add/Subt of 2-digit numbers, no regrouping		X
Add/Subt of 3-digit numbers and 1's, 10's, and 100's				X
Add/Subt of 99 and 98				X
Make 100				X
Add/Subt of all 2-digit numbers						X
Mult of 10s and 100s by a 1-digit number						X
Div of up to 4 digits by a 1-digit number, no remainder						X
Mult/Div of whole numbers by 10's, 100's, 1000's									X
Mult/Div of numbers up to 3 decimal places by 10's, 100's, 1000's										X

Word Problems	1A	1B	2A	2B	3A	3B	4A	4B	5A	5B	6A	6B
Making add/subt stories	X
One-step word problems		X	X	X
Two-step word problems					X	X
Multi-step word problems									X	X	X	X

Time	1A	1B	2A	2B	3A	3B	4A	4B	5A	5B	6A	6B
Time to the half-hour		X
Time to minutes				X
Time intervals, 12-hour clock				X
Conversion of time units using multiplication						X			X
Add/Subt of compound units						X
Mult/Div of compound units								X
Conversion using division and fractions									X
Conversion using decimals										X
Time intervals, 24-hour clock											X

Money	1A	1B	2A	2B	3A	3B	4A	4B	5A	5B	6A	6B
Dollars and cents, Add/Subt		X
Add/Subt of compound units				X
Decimal notation, Add/Subt of money in decimal notation					X
Mult/Div of compound units								X

Length, Mass, and Capacity	1A	1B	2A	2B	3A	3B	4A	4B	5A	5B	6A	6B
Measurement in non-standard units	X
Measurement in meters, centimeters, kilograms, and grams			X
Measurement in liters				X
Add/Subt/Mult/Div of single units			X	X
Add/Subt of compound units						X
Mult/Div of compound units								X
Conversion using multiplication						X			X
Conversion using division and fractions									X
Conversion using decimals										X

Perimeter, Area, and Volume	1A	1B	2A	2B	3A	3B	4A	4B	5A	5B	6A	6B
Area in square units				X
Perimeter of rectilinear figures						X
Area and perimeter of squares and rectangles						X	X
Area and perimeter of composite figures related to squares and rectangles							X
Area of a triangle										X
Area and circumference of circles												X
Area and perimeter of composite figures related to squares, rectangles, triangles, and circles												X
Counting unit cubes in 2-D representations of 3-D solids								X
Volume in cubic units, milliliters, and liters								X		X
Finding unknown sides of cubes and rectangular prisms										X
Finding the volume of solids by displacement										X		X

Geometry	1A	1B	2A	2B	3A	3B	4A	4B	5A	5B	6A	6B
Common 2-dimensional shapes	X			X
Common 3-dimensional shapes				X
Completing patterns	X			X
Symmetry								X
Tesselation										X
Prisms, pyramids, nets of solids											X
Perpendicular and parallel lines							X
Angles, right angles						X	X
Measuring angles							X		X
Angle properties of intersecting lines									X
Angle properties of triangles, parallelograms, rhombuses, and trapezoids										X
Finding unknown angles										X

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Sonlight has created a love of reading and exploring in all our kids, including our youngest who will just be starting to homeschool. Jadon (5) loves to build with the math manipulatives while he listens to the older kids learn their Bible verses and learn about various peoples and lands. We have been using Sonlight for over four years and we love the curriculum. Though Jadon is just starting Sonlight, he has been listening in to his older siblings' learning for years. Here, he builds a math manipulatives fort with Jonathan (7).

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"Thank goodness for the Diamond Notes system we've learned from Sonlight. We have about 10 weeks left of Language Arts 3 and get a big kick out of looking back at his writing ability at the beginning of the year versus now," says Amanda D of Montgomery, AL. Customized just for him, Sergey's All-Subjects Package consists of History / Bible / Literature B+C with Grade 3 Readers, Language Arts 3, Singapore Math 2, Science C and Artistic Pursuits. He says his favorite parts of Sonlight are Art, Language Arts, and the Readers.

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Math came very naturally to our three sons thanks to Singapore Math. Singapore worked well, as it encourages mental usage of the numbers. However, math did not come easily to Ashley. Thanks to Sonlight for guiding us and making additional help available, such as the Vroot & Vroom and Wiggle Woods CDs [Singapore supplements #RM168 and #RM169]. Ashley has become very confident and accomplished in her math skills. In this photo from several years ago, Dad spends some quality time with Ashley helping her with math. She is now 11 years old and studying Core H.

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