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Mathematics scope and sequence suggestion in chart form

Different math curricula utilize different scopes and sequences. This article gives you a general idea of a "basic" mathematics scope and sequence through elementary and middle school (grades 1-7 or 8), which is helpful if you're piecing together your math curriculum or for some reason not following any curriculum exactly to the "tee".

The following chart is a rough guideline showing you approximately when and in which order one should study various math topics. Don't read too much into it. For example, it is not telling you in which order to study the topics during any grade, and it doesn't include every single topic.

Notice that certain math topics are IN FOCUS in certain grade levels, and then "fade away" into the status of occasional review only. As explained in my article on coherent curriculum, you don't need to study basic arithmetic topics in each and every grade until the 8th grade. It is better to keep a good focus, aim for mastery, and then move on.

Note also that many math curricula present algebra in 9th grade and pre-algebra in 8th grade. This chart is assuming that algebra starts in 8th grade, but children and their situations are different: for some, it works better to start algebra in 8th, while for others it is better to wait till 9th.

Mathematics scope and sequence chart
Mathematics scope and sequence chart




After fourth grade, students should have mastered addition and subtraction of whole numbers so that it is no longer the focus of study. From then on, topics such as fractions, decimals, integers, square roots, and irrational numbers expand the student's concept of number.


Then for fifth and sixth grade, the focus switches to fractions and decimals.

The concept of percent ties in with ratios, proportios, and decimals. All of these are topics for 6th-7th grade with lots of real-world applications.

Geometry and measuring are important from first grade on. They tie in with other elementary math concepts, such as multiplication, area, fractions, and decimals.


See also:

Common Core Standards

Math Mammoth placement tests