SUMMER MATHEMATICS PROJECT For ENTERING GRADE 6

2018-20192019-20202017 - 2018SUMMER MATHEMATICS PROJECTFor ENTERING GRADE 6This project will be due the first week of school and it will be graded. These arethe concepts are expected to know coming into the 6 th grade. Students will betested on these concepts during the first few weeks of school. Make sure that youshow all your work for each question. You should complete the entire packetwithout the use of a calculator. No credit will be given to any question(s) youanswer without showing work. Please use pencil only and remember:NO WORK NO CREDITName:

Topics:1.2.3.4.5.6.7.8.9.Whole Number OperationsOrder of Operations and ExponentsPrime FactorizationSimplifying FractionsImproper Fractions and Mixed NumbersOperations with FractionsDecimals to FractionsDecimal OperationsRatios and RatesSuggested websites to review these ttp://floridastudents.org/#37 5 10282 rtube.com/http://mathisfun.com/

Whole Number OperationsAdd, subtract, multiply, or divide.1) 2846 16352) 24592 462683) 776 – 4984) 1904 – 6255) 776 986) 376 187) 493 678) 588 849) 1620 3610) 770 28

Order of Operations and Exponents11) Write in exponent form.12) Find the value.268 8 8 8 8Simplify each expression by using the order of operations.13) 32 6 – 2 714) 20 5 2 – (6 2) 7Prime Factorization15) Identify all the prime numbers from the list.1441193171Find the prime factorization of each number. Use exponents when applicable.16) 6018) 4217) 125

Simplifying FractionsWrite each fraction in simplest terms.19)1520)253521) 4422929Improper Fractions and Mixed NumbersChange the mixed numbers to improper fractions and the improper fractions to mixed numbers.22) 2423) 651124)17825)3Operations with FractionsAdd, subtract, or multiply. Reduce to lowest terms.26)28)30)7161256 316231427)29)31)7102312 2101615 81013211

1332) 1 234) 10 436) 238)123161356 1 834213333) 2 15148235) 5 3 237)5939) 2 12310 315

Decimals to FractionsWrite each decimal as a fraction. Reduce to lowest terms.40) 0.841) 0.56Decimal OperationsAdd, subtract, or multiply.42) 9.242 0.8743) 35.87 – 10.244) 40.4 – 6.3745) 0.7 0.446) 0.12 0.6

FRACTION OPERATIONSADD OR SUBTRACT “ OR –“ WITH COMMON DENOMINATORSAdd the numerators, denominator stays the same.EXAMPLES:𝟐 𝟑𝟓 𝟕 𝟕𝟕𝟕 𝟒𝟑 𝟖 𝟖𝟖ADD OR SUBTRACT “ OR –“ WITH DIFFERENT DENOMINATORSChange to equivalent fractions with common denominators, then add orsubtractEXAMPLES:𝟐𝟑𝟓𝟔 𝟏-𝟏𝟒𝟐 𝟖𝟏𝟐 𝟓𝟑𝟔𝟔 𝟑𝟏𝟐 𝟐𝟔𝟏𝟏𝟏𝟐 𝟏𝟑MULTIPLY “x”Multiply the numerators, multiply the denominators, then simplifyEXAMPLE:𝟐 𝟓𝟏𝟎𝟓𝒙 𝟑 𝟔𝟏𝟖𝟗DIVIDE “ ”Change the problem to multiplication by inverting the second fraction, thenmultiplying.EXAMPLE:𝟐𝟏 𝟐 𝟐𝟒 𝒙 𝟓𝟐 𝟓 𝟏𝟓

DECIMAL OPERATIONSADDITIONEx. 17.2 0.04 0.006 Line up the decimal points17.200 Add zeroes as0.040placeholders 0.006 Add or subtract the17.246numbers in columns Insert a decimal point inthe answer under theother decimal pointsMULTIPLICATION Line up the numbers, ignore the decimalpoints, and multiply Count the number of digits to the right ofthe decimal points in the problem In the product, count from right to left toplace the decimal point the total number ofdecimal places in the problem2 digits to the right of the decimal point6.041 digit to the right of the decimal point x 3.12 1 3 Place the decimal point 3 digits from the right 18.724SUBTRACTIONEx. 8.63-0.2638.630- 0.2638.367DIVISION Move thedecimal point inthe divisor tomake a wholenumber. Move thedecimal point inthe dividend thesame number ofspaces to theright. Place the decimalpoint in thequotient directlyabove thedecimal point inthe dividend

Prime Factorization 4. Simplifying Fractions 5. Improper Fractions and Mixed Numbers 6. Operations with Fractions 7. Decimals to Fractions 8. Decimal Operations 9. Ratios and Rates . . Simplifying Fractions Write each fra