Numbers Decimals Integers Exponents Factors and Fractions NCTM

Numbers Decimals, Integers, Exponents, Factors, and Fractions

NCTM “In grades 6 -8, students should deepen their understanding of fractions, decimals, percents, and integers and they should become proficient in using them to solve problems. ” (pg. 215) “At the heart of flexibility in working with rational numbers is a solid understanding of different representations for fractions, decimals, and percents. ” (pg. 215)

TEAM-Math N 1. Use operations involving fractions, decimals, introduce irrationals, scientific notation, integers, and determine reasonableness of an answer: � A. Exponents � B. Sets � C. Properties � D. Order of operations � E. Compare and order � F. Real number line

Alabama COS 1. Demonstrate computational fluency with addition, subtraction, and multiplication of integers. � a Developing algorithms for performing operations on integers � Example: determining a systematic set of steps that can be used to subtract integers � b Using inverse properties of addition and of multiplication 2. Use order of operations to evaluate numerical expressions. � a Computing absolute values � b Finding square roots of perfect squares through 225 � c Evaluating powers � d Applying properties of operations to compute with integers, fractions, and decimals

Decimals � Decimal Switch ◦ http: //www. interactivestuff. org/sums 4 fun/switch. html � Sock ◦ http: //www. interactivestuff. org/sums 4 fun/sock. html � Decimals in Space ◦ http: //themathgames. com/our-games/decimalgames/place-value/decimal-place-value-math-game � Decimal Jeopardy Game ◦ http: //www. math-play. com/decimal-game. html � Calculator ◦ Able to add, subtract, multiply, and divide decimals ◦ Able to move from a fraction to a decimal

Decimals in Excel ADD SUBTRACT MULTIPLY DIVIDE 3. 567 8. 753 12. 32 -5. 186 31. 221951 0. 407517423 111. 2 0. 05 111. 25 111. 15 5. 56 2224 87. 5 0. 0005 87. 5005 87. 4995 0. 04375 175000

� Integers Instructions ◦ http: //amby. com/educate/math/integer. html � Number Balls ◦ http: //themathgames. com/our-games/arithmeticgames/order-positive-negative-integers/ � Multiplication of Integers ◦ http: //www. berghuis. co. nz/abiator/maths/sa/saintege rmultiply. html#section 3 � Division of Integers ◦ http: //www. berghuis. co. nz/abiator/maths/sa/saintege rdivision. html � Calculator ◦ Able to add, subtract, multiply, and divide integers

Integers in Excel ADD SUBTRACT MULTIPLY DIVIDE 5 -8 -3 13 -40 -0. 625 -6 -12 -18 6 72 0. 5 -78 2 -76 -80 -156 -39

Exponents � Exponent Rules Game ◦ http: //www. math-play. com/exponent-game. html � Tic Tac Toe ◦ http: //www. funbrain. com/cgi-bin/ttt. cgi? A 1=s&A 2=3&A 3=0 � Greater Than Less Than Game ◦ http: //www. softschools. com/math/games/exponents_practice. j sp � Scientific Notation Exponent Game ◦ http: //www. quia. com/pop/50485. html? AP_rand=1443976732 � Calculator ◦ Able to calculate exponents ◦ Able to add, subtract, multiply and divide numbers with exponents � Excel ◦ Able to calculate exponents

Fractions � Fraction Switch ◦ http: //www. interactivestuff. org/sums 4 fun/fswitch. html � Equivalent Fractions ◦ http: //www. interactivestuff. org/sums 4 fun/efrac 1. html � Fraction Addition ◦ http: //math. rice. edu/~lanius/fractions/prac 4. html# � Clara’s Fraction Ice Cream Shop ◦ http: //www. mrnussbaum. com/icecream/index. html � Multiply Fractions Jeopardy ◦ http: //www. quia. com/cb/95583. html � Calculator ◦ Able to move from decimals to fractions

Factors � Factor Game ◦ http: //illuminations. nctm. org/activitydetail. aspx? ID =12 � Venn Diagrams of Factors ◦ http: //www. teacherled. com/resources/vennfactors/ vennfactorload. html � Factorize ◦ http: //www. shodor. org/interactivate/activities/Fact orize/

� As Technology will work in the classroom… reinforcement � As primary investigation � As a chance to see what the students already know � As an informal assessment

Resources � National Council of Teachers of Mathematics (NCTM). (2000). Principles and standards for school mathematics. Reston, VA: Nation Council of Teachers of Mathematics. � TEAM-Math. Retrieved November 26, 2009, from TEAM-Math Curriculum Guide Web site: http: //team-math. net/curriculum/index. htm � Given websites for activities