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Transcript of Math Fluency
the same thing over and expecting different results. Math Fluency Counting by 10s If students have not learned the multiplication tables by high school, they need to learn them a different way. Multiplication Tables HALVES PRACTICE
(0s and 5s) (30 is halfway between 20 and 40, so half of 30 must be halfway between half of 20 and half of 40) Halves Practice (All) Why? Many of our students struggle not because they haven't tried to learn, but because TWO KINDS of math mistakes. There are 1.) FUNCTIONAL MISTAKE (add/subtract/multiply/divide wrong, forget a negative, etc) 2.) PROCESS MISTAKE (don't understand how to do the problem, what step comes next, etc) Decimals to Fractions Practice the way they've been taught
hasn't worked for them. Lack of math
fluency is a FUNCTIONAL MISTAKE Students get used to breaking down numbers and thinking of them as pieces Prepares students for multiplication tables Helps them grasp the concept of parts of a whole (necessary for fractions) Eventually when students have become fluid with tens, they will transition the ideas to 100s/1000s automatically Start with walking them through the times tables using the "+10 +/-x" method Assign 10 at a time until student can complete a times table at a reasonable speed without stopping or errors Supplement with FreeRice.com (1000 grains of rice--students turn in a screenshot for homework) This worksheet will help students understand: Takes some of the intimidation factor out of math when they realize that half of 50, half of 5, and half of
0.5 are the same numbers, just with the decimal in a
different place Patterns Decimal Places This worksheet will help students: think of numbers in pieces (distributive property!) simplify fractions If a student can think of 36 as 20 + 16, eventually this will extend to multiplication and the distributive property
(22 x 15 is the same as 20 x 15 and 2 x 15) Speed Builds Confidence Students know they shouldn't be struggling with basic arithmetic. When they struggle to solve basic arithmetic problems and make functional mistakes, they convince themselves that they "don't get math," when in fact, they can absolutely understand the processes behind the problems. Fluency Builds Critical Thinking Fluency Builds Speed How many times have you had a student who couldn't tell you what 75% is as a fraction, but they know how many quarters are in 75 cents? Struggling students often lack the ability to make connections between discrete pieces of information. Fluency helps them build those connections and apply them to other areas. This worksheet will help students: Identify patterns in fraction/decimal conversion Memorize and recognize the most common fraction/decimal conversion combinations (like 0.25 = 1/4) Fractions/Decimals/Percents Conversion Practice This worksheet will help students: Reinforce essential relationships between fractions, decimals, and percents Please email me at firstname.lastname@example.org if you have any questions or would like the handouts mentioned in this presentation. :-)