1. Decimals, Integers, Exponents, Factors, and Fractions

2. “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)

3. N1. 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

4. 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

5.  Decimal Switch ◦ http://www.interactivestuff.org/sums4fun/switch.html http://www.interactivestuff.org/sums4fun/switch.html  Sock ◦ http://www.interactivestuff.org/sums4fun/sock.html http://www.interactivestuff.org/sums4fun/sock.html  Decimals in Space ◦ http://themathgames.com/our-games/decimal- games/place-value/decimal-place-value-math-game http://themathgames.com/our-games/decimal- games/place-value/decimal-place-value-math-game  Decimal Jeopardy Game ◦ http://www.math-play.com/decimal-game.html 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

6. ADDSUBTRACTMULTIPLYDIVIDE 3.5678.75312.32-5.18631.2219510.407517423 111.20.05111.25111.155.562224 87.50.000587.500587.49950.04375175000

7.  Integer Instructions ◦ http://amby.com/educate/math/integer.html http://amby.com/educate/math/integer.html  Number Balls ◦ http://themathgames.com/our-games/arithmetic- games/order-positive-negative-integers/ http://themathgames.com/our-games/arithmetic- games/order-positive-negative-integers/  Multiplication of Integers ◦ http://www.berghuis.co.nz/abiator/maths/sa/saintege rmultiply.html#section3 http://www.berghuis.co.nz/abiator/maths/sa/saintege rmultiply.html#section3  Division of Integers ◦ http://www.berghuis.co.nz/abiator/maths/sa/saintege rdivision.html http://www.berghuis.co.nz/abiator/maths/sa/saintege rdivision.html  Calculator ◦ Able to add, subtract, multiply, and divide integers

8. ADDSUBTRACTMULTIPLYDIVIDE 5-8-313-40-0.625 -6-12-186720.5 -782-76-80-156-39

9.  Exponent Rules Game ◦ http://www.math-play.com/exponent-game.html http://www.math-play.com/exponent-game.html  Tic Tac Toe ◦ http://www.funbrain.com/cgi-bin/ttt.cgi?A1=s&A2=3&A3=0 http://www.funbrain.com/cgi-bin/ttt.cgi?A1=s&A2=3&A3=0  Greater Than Less Than Game ◦ http://www.softschools.com/math/games/exponents_practice.j sp http://www.softschools.com/math/games/exponents_practice.j sp  Scientific Notation Exponent Game ◦ http://www.quia.com/pop/50485.html?AP_rand=1443976732 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

10.  Fraction Switch ◦ http://www.interactivestuff.org/sums4fun/fswitch.html http://www.interactivestuff.org/sums4fun/fswitch.html  Equivalent Fractions ◦ http://www.interactivestuff.org/sums4fun/efrac1.html http://www.interactivestuff.org/sums4fun/efrac1.html  Fraction Addition ◦ http://math.rice.edu/~lanius/fractions/prac4.html# http://math.rice.edu/~lanius/fractions/prac4.html#  Clara’s Fraction Ice Cream Shop ◦ http://www.mrnussbaum.com/icecream/index.html http://www.mrnussbaum.com/icecream/index.html  Multiply Fractions Jeopardy ◦ http://www.quia.com/cb/95583.html http://www.quia.com/cb/95583.html  Calculator ◦ Able to move from decimals to fractions

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

12.  As reinforcement  As primary investigation  As a chance to see what the students already know  As an informal assessment

13.  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 http://team-math.net/curriculum/index.htm  Given websites for activities