**Key Words****:**

Addition -increased by, more than, combined, together, total of, sum, added to, larger than, longer than

Addition -

**Subtraction -**decreased by, minus, less, difference between, less than, fewer than

**Multiplication -**of, times, multiplied by, product of

**Division -**per, out of, ratio of, quotient of, percent (divide by 100)

**Equals -**is, are, was, were, will be, gives, yields

__Translating Phrases into Algebraic Expressions:__**Translate "the sum of****8****and***y***" into an algebraic expression.**

**8 +**"

*y***Translate "****4****less than***x***" into an algebraic expression.**

*x***– 4**"

Remember? "Less than" is

*backwards*in the math from how you say it in words!

**Translate "***x***multiplied by****13****" into an algebraic expression.**

**13**"

*x***Translate "the quotient of***x***and****3****" into an algebraic expression.**

**Translate "the difference of****5****and***y***" into an algebraic expression.**

**5 –**"

*y***Translate "the ratio of****9****more than***x***to***x***" into an algebraic expression.**

**Translate "nine less than the total of a number and two" into an algebraic expression, and simplify.**

*n*+ 2) – 9", which then simplifies to "

*n***– 7**"

Here are some more wordy examples:

**The length of a football field is****30****yards more than its width. Express the length of the field in terms of its width***w***.**

*w*is, the length is 30 more than this. Recall that "more than" means "plus that much", so you'll be adding 30 to

*w*.

The expression they're looking for is "

*w***+ 30**".

__Summer Math Review for Students Entering 6th Grade__

**By the end of 5th grade****, your child should be proficient in the skills listed below. For your convenience,**

we listed some recommended websites to help your child practice these skills.

we listed some recommended websites to help your child practice these skills.

*We encourage parents to*

monitor students’ use of the Internet.monitor students’ use of the Internet.

****

**Add, Subtract and Multiply Fractions and Mixed Numbers:**

**http://www.sheppardsoftware.com/ mathgames/**

**fractions/FruitShootFractionsAddition. html**

**http://www.mathplayground.com/**

**fractions_sub.html**

**http://www.math-play.com/Multiplying-Fractions-Millionaire/Multiplying-Fractions-Millionaire.html**

**http://www.math.com/school/subject1/practice/S1U4L7/S1U4L7Pract.html**

**Convert Mixed Numbers into Improper Fractions and Improper Fractions into Mixed Numbers:**

**http://www.sheppardsoftware.com/ mathgames/**

**fractions/mathman_improper_fractions. html**

**http://www.quia.com/cb/186132.html**

**Place value:**

**http://www.topmarks.co.uk/maths-games/7-11-years/place-value**

**Multiplication of Decimals through the Hundredths Place:**

**http://www.funbrain.com/cgi-bin/fb.cgi?A1=start3&A2=Medium&ALG=No&INSTRUCTS=1**

**Long Division of Whole Numbers:**

**http://www.kidsnumbers.com/long-division.php**

**Please Note:**

**All children should have multiplication and division facts through 12 committed to**

memory.

memory.

**For enrichment at any grade level, students can practice**

words in the word problems before solving.

__word problems.__Please note the keywords in the word problems before solving.

****

*OTHER WEBSITES:***http://www.mathplayground.com/**

**wordproblems.html**

**https://www.khanacademy.org**

**http://www.purplemath.com**

http://reflexmath.com

http://reflexmath.com

__Summer Math Review for Students Entering 7th Grade__

__By the end of 6th grade__**, your child should be proficient in the skills listed below. For your convenience,**

we listed some recommended websites to help your child practice these skills.

we listed some recommended websites to help your child practice these skills.

*We encourage parents to*

monitor students’ use of the Internet.monitor students’ use of the Internet.

**Fraction and decimal equivalents****Decimal equivalents for unit fractions****All operations involving whole numbers, decimals and fractions****Estimation****Order of operations****Area of rectangles, triangles, and trapezoids****Volume of rectangular and triangular prisms****Mean, median and mode**

**All children should have multiplication and division facts through 12 and divisibility rules for**

2, 3, 4, 5, 6, 8, 9 and 10 committed to memory.

2, 3, 4, 5, 6, 8, 9 and 10 committed to memory.

**For enrichment at any grade level, students can practice**

in the word problems before solving.

__word problems.__Please note the key wordsin the word problems before solving.

*WEBSITES:***http://www.mathplayground.com/wordproblems.html**

**www.khanacademy.org**

**www.purplemath.com**

**www.mathplayground.com**

**www.tenmarks.com**

**http://math.about.com/cs/**

**arithmetic/a/timestables.html**

http://reflexmath.com

http://reflexmath.com

__Summer Math Review for Students Entering 8th Grade__

__By the end of 7th grade__,**your child should be proficient in the skills listed below. For your convenience,**

we listed some recommended websites to help your child practice these skills.

we listed some recommended websites to help your child practice these skills.

*We encourage parents to*

monitor students’ use of the Internet.monitor students’ use of the Internet.

**All operations involving rational numbers (whole numbers, decimals, fractions and integers)****Order of operations and algebraic properties****Identify polygons to 10 sides****Identify prisms by their congruent and parallel bases****Identify angles and angular relationships****Identify triangles based on sides and angles****Application of formulas for perimeter, circumference, area, and volume**

All children should have multiplication and division facts through 12 and divisibility rules for

2, 3, 4, 5, 6, 8, 9 and 10 committed to memory.

All children should have multiplication and division facts through 12 and divisibility rules for

2, 3, 4, 5, 6, 8, 9 and 10 committed to memory.

**For enrichment at any grade level, students can practice**

in the word problems before solving.

__word__problems. Please note the key wordsin the word problems before solving.

*WEBSITES:***http://www.mathplayground.com/wordproblems.html**

**www.khanacademy.org**

**www.purplemath.com**

**www.mathplayground.com**

**www.tenmarks.com**

**http://math.about.com/cs/arithmetic/a/timestables.html**

http://reflexmath.com

http://reflexmath.com