NumbersDecimals, Integers, Exponents, Factors,

and Fractions

“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)

NCTM

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

TEAM-Math

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 multiplication2. 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

Alabama COS

Decimal Switch◦ http://www.interactivestuff.org/sums4fun/switch.html

Sock◦ http://www.interactivestuff.org/sums4fun/sock.html

Decimals in Space◦ http://themathgames.com/our-games/decimal-games/pla

ce-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

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

Integer Instructions◦ http://amby.com/educate/math/integer.html

Number Balls◦ http://themathgames.com/our-games/arithmetic-gam

es/order-positive-negative-integers/ Multiplication of Integers

◦ http://www.berghuis.co.nz/abiator/maths/sa/saintegermultiply.html#section3

Division of Integers◦ http://www.berghuis.co.nz/abiator/maths/sa/sainteger

division.html Calculator

◦ Able to add, subtract, multiply, and divide integers

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

Exponent Rules Game◦ 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

Greater Than Less Than Game◦ http://www.softschools.com/math/games/exponents_practice.jsp

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

Exponents

Fraction Switch◦ http://www.interactivestuff.org/sums4fun/fswitch.html

Equivalent Fractions◦ http://www.interactivestuff.org/sums4fun/efrac1.html

Fraction Addition◦ http://math.rice.edu/~lanius/fractions/prac4.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

Fractions

Factor Game◦ http://illuminations.nctm.org/activitydetail.aspx?I

D=12 Venn Diagrams of Factors

◦ http://www.teacherled.com/resources/vennfactors/vennfactorload.html

Factorize◦ http://www.shodor.org/interactivate/activities/Fact

orize/

Factors

As reinforcement As primary investigation As a chance to see what the students

already know As an informal assessment

Technology will work in the classroom…

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

Resources