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Math Strategies McGraw-Hill/Contemporary Maxine McCormick [email protected] Where it Started • Not memorizing the Multiplication Tables is the downfall of many students • How can we help our students memorize the tables keeping the 7 chunks of information rule of learning? • Are there any shortcuts to memorizing the tables? • Do flash cards help? 7 Chunk Rule • Most student know their 1,2,5,10,11 times tables • We will show them the short cut to the 9’s • We only have the students learn the ones they don’t know in chunks of seven • Start with the three’s • 3x3, 3x4, 3x6, 3x7, 3x8, 3x12 • Get index cards to create flash cards Times Tables • • • • • • • • When they know these, start the 4’s 4x4, 4x6, 4x7, 4x8, 4x12 Now the six times tables 6x6, 6x7, 6x8, 6x12 Sevens 7x7, 7x8, 7x12 Eights 8x8, 8x12 Elevens 11x11, 11x12 12x12 Practice, Practice, Practice Speed is the Key • When a student has to spend unnecessary energy figuring out times tables the fraction problem gets too complicated. • We use the times tables in almost every fraction operation • Word Problems become impossible because this now requires reading, step application, and times tables • Time is of the essence Difficult Concepts • Decimals are easier to learn than fractions teach this skill right after memorizing times tables • Division and multiplication of decimals gives practice to the times tables without too much complication • Give three simple rules • In add and sub – Line everything to the decimal point • In mult - Count the place values behind the decimal point and move the decimal that amount to the left Decimals • In div – Keep the divisor a whole number what you move on one side you must move in the other • Practice word problems now • Don’t Wait Till They Learn All The Math Concepts • Make sure you use consumer math and money management in you problems System for Word Problems • • • • • • 5 Step Model 1. Identify the Question 2. Gather All the Facts 3.Decide Which Math Operation to Use 4. Find an Answer 5. Compare Your Answer to the Question Fractions • • • • • • • The Meaning of Fractions First Add and Subtract Concepts next Word Problems Then Introduce Mult and Division Invert Rule is a Must Word Problems Don’t rush teaching fractions. It requires time tables, processing, and complex rules Percents • Part, Whole, 100%, ? • Teach the Fill in the Blank Rule. It’s the cleanest and easiest rule to remember • Part Part% • Whole X 100% • ? May be in any spot except the 100% It’s a constant • Cross multiple and divide by the ? Numeration, Geometry, Algebra It’s important to teach Numeration first Vocabulary and Concepts first I would teach Geometry next. It’s more concrete and a good way to introduce formulas. Word Problems and meaningful problems Then on to Algebra Teach add and sub separate from mult and div rules. Think About Using Printable SAMS • Gives 40 questions per skill on all levels of TABE • Can reproduce as many as you want forever • Gives practice to take home without taking a book • Is designed like TABE so the student get great assessment practice for progress