For these, and probably a zillion more, the Common Core Standards require us to insure that our students are fluent in their math facts.Math fact automaticity affect performance in later elementary grades as students have longer and more complicated computations to complete.  At this stage, if a student does not have his/her math facts committed to memory, he/she will spend a lot of time and energy figuring out smaller calculations and risk not having time (or energy) to complete the assignment.Their performance in math class is not the only academic area that may be negatively affected.  Other subjects such as science and geography may be hindered.

How to Increase Math Fact Fluency

Math fact fluency is developed through lots of practice with effective tools and strategies.  I have found, and research confirms that Derived Fact Strategies (DFS) are highly effective in increasing math fact fluency.

What are Derived Fact Strategies?

Derived facts are math facts that are derived from known facts.  For example, if we know the doubles fact, 3+3=6, then we can derive the answer to 3+4 by using the 3+3 fact and adding 1 to it.  So a derived fact strategy is the mental process of deriving a new fact from a known fact.  We can see in the picture below how we use the ‘Doubles +1’ strategy to derive an sum by using a known sum.

 These strategies are also called ‘mental math strategies’ and ‘thinking strategies’.  They all refer to the cognitive process of deriving new understanding by using known information – higher level thinking!

Are Derived Fact Strategies Aligned to Common Core Standards?

Yes, they are aligned to the Common Core Standards:

Add and subtract within 20:

CCSS.MATH.CONTENT.1.OA.C.5
Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).

CCSS.MATH.CONTENT.1.OA.C.6
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).

CCSS.MATH.CONTENT.2.OA.B.2
Fluently add and subtract within 20 using mental strategies.² By end of Grade 2, know from memory all sums of two one-digit numbers.

I have seen seen students transform from discouraged learners to confident learners as they master these strategies!  And they start to enjoy math!I have also seen the flip side.  Teachers clinging to the use of timed tests, traditional flash cards, and pushing the responsibility of math fact fluency onto the parents (much to their frustration) – resulting in frustrated students – even tears – and negative experiences in math for years. Knowing that lots of practice is crucial for students to become ‘automatic’ in their recall of basic facts, I have invested hundreds of hours creating engaging resources to provide students (and teachers) with engaging and effective activities that make practice fun!  Games have always been a hit with students and teachers!  Learning Games provide a fun, not-threatening opportunity for students to get the needed practice to become fluent in their math facts.

Try Using This Strategy Game – for FREE

I have a FREE game for you that provides repeated experience with the DFS (derived fact strategy):  “Plus 2”.  Included with the game is a strategy poster, so you can teach and review the strategy with your students.It is free in my TpT store.Your students will enjoy playing this engaging Superhero game with their friends and becoming more fluent in their addition math facts in the process!  They will be engaged and having fun.  You will not have any papers to grade!  Sounds like a WIN WIN!

Just click on the picture to get your FREE copy.

Click here to see more strategy-based addition and subtraction games.