June, 0 Dear Parents of Sixth Graders, During the summer, we are requiring our sixth grade students to complete a mathematics packet designed to strengthen skills for success in seventh grade. The packet is due to their middle school math teacher on the first day of school. Students may do the problems at their own convenience, however, we recommend doing one skill page per week over the summer months. Please encourage your child to follow the given examples on the page and complete all work by hand and in pencil showing all necessary steps in the space provided. Please do not use a calculator for any problem in this packet. The transition from elementary to middle school is exciting but also a bit intimidating for children. We hope this summer math activity helps to reinforce concepts already taught in their elementary math classes while at the same time build toward mastery of skills in seventh grade. Our goal is to provide a smooth transition from elementary math classes to the challenges of seventh grade mathematics. Best wishes for a happy and healthy summer. Sincerely, Julie Eastburn Ed.D Coordinator of Elementary Mathematics
Multiplication of and digit numbers Multiply and SHOW WORK. EXAMPLE 0 0 00,0 Now try these on your own! Remember to show all work neatly!..... 0. 0. 0.. 0
DIVIDING WHOLE NUMBERS Divide to find each quotient. Round the result to the nearest tenth if necessary. Remember to divide through the hundredths place when rounding to the nearest tenth! Example:..00 0 0 You may stop now because you need to use the hundredths position to round to the nearest tenth. Answer:. rounded to the nearest tenth is. Now try these on your own! Remember to show all work neatly! ) 0 ), ),0 ), ), ),
Decimals and Place Value Each digit in a whole number or a decimal has both a place and a value. Answer each of the following questions using the number:,0. Ex. What is the value of the digit? What is the value of the digit? The six is in the thousands place. The is in the hundredths place. It therefore has a value of (000)=,000 It has a value of (0.0) or 0.0. A) What is the value of the digit? B) What is the value of the digit? C) What is the value of the digit? D) What is the value of the digit? Reading and Writing Decimal Word Names Examples:. thirty-six and eight tenths 0.0 six hundred one and nine hundredths 0.00 twenty and ten thousand, fifty-two hundred-thousandths 0.0000 zero and seventy-six millionths REMEMBER TO USE COMMAS AND DASHES WHERE APPROPRIATE!!!!! Try to complete the table below on your own! Problem Decimal Numeral Decimal Word Name A. Twenty-five three tenths B.00 Eighteen and C,00. Two thousand, D,00.00 E Ninety-three ten-thousandths F One hundred and one hundredth G Eighty-seven thousand and sixteen thousandths
Addition and Subtraction of Decimals Words of advice: You add or subtract decimals just as you do whole numbers. First you write them vertically (up and down). You line up the decimal points and then add or subtract. Use zeros to make the columns even. Examples: Find each sum or difference. Show all work neatly! Circle your final sum or difference. a). +. b)...00.000 +. +. -. -..0.0 Now try these on your own! Remember to show all work neatly! Circle your final answer. ). 0. ).. ) 0 0. ) 0. 0. ).. ) 0. ) 0. 0. 0 ). 0. 0
WHERE DOES THE DECIMAL POINT BELONG? A) Multiply 0.. B) Multiply 0.0 00 Move the decimal point places to the right. Place the decimal point Answer: 0.0. by counting the number of decimal places in the Divide. 000 factors. Move the decimal point places to the left 0 Answer : 0.0 0 Answer:.0 (place the decimal point places from the right) Now try these on your own! A) Multiply as indicated. Show all work neatly. Circle your final value..... 0.0.. 0.... 0.0 0... 0. 00 B) Multiply or Divide using your knowledge of powers of ten. Circle your final value..., 000. 0. 0.. 000 0.. 0. 00. 00
FORMS OF FRACTIONS A) Write in simplest form. B) Write as C) Write as an is the greatest common factor a mixed number improper fraction with remainder and of = Now try these on your own! Circle your final answer. A) Write each fraction in simplest form. ) ) 0 ) ) B) Write each improper fraction as a mixed number in simplest form. ) ) ) 0 ) ) 0) C) Write each mixed number as an improper fraction in simplest form. ) ) ) ) ) )
Adding and Subtracting Fractions and Mixed Numbers Find a least common denominator. Add or subtract as indicated using the least common denominator. Mixed numbers should remain mixed numbers. Borrow as needed. Circle your final value in simplest form. EXAMPLES: A. B. C. SOLUTIONS: A. 0 B. C. PROBLEMS:.... 0.....
Multiplication of Fractions and Mixed Numbers Words of advice: In order to multiply fractions and/or mixed numbers, you need to make sure that each number in your product has a numerator and a denominator. In other words, if you are given a whole number, put it over the number. Likewise, if you are given a mixed number, convert it into an improper fraction. Once all numbers have a numerator and a denominator, multiply across the top and across the bottom. Then, simplify your answer if possible. Write your final answer as a mixed number! Examples: Find each product. Write the answer in simplest form. a) = b) First, convert to improper fraction, then multiply: = simplify 0 0 First, write the whole number as a fraction, Then, multiply across: 0 = simplify = EXERCISES: Find each product. Show all steps neatly. Circle each answer in simplest form. ) 0 ) ) ) ) ) ) )
Geom et r y Rainbow Par t I: Gr ab yo ur colored p encils an d let s h ave som e f un! Color each f igur e as designat ed. Sq uar e = Red Regular Pent agon = Blue Cir cle = Yellow Rhom b us = Or ange Rect angle = Gr een Eq uilat er al Tr ian gle = Black yds ½ yds ydsyds inches mm ft ft. inches ft.. ½ ft Par t II. Mat ch t he f or m ulas w it h f igur es above by cir cling t he f or m ula in t he color (s) you used in Par t I. P= s P= s P= l + w P= s C = π r A= ½bh A= lw A= s A= bh A = π r Rem ind er : Ar ea is alw ays m easur ed in unit s! Par t III. Use t he per im et er and ar ea f or m ulas Fin d t h e p erim et er o f t h e regular p en t ago n. Ch o o se t h e ap p ropriat e f o rm ula: P = s Sub st it ut e t h e given in f o rm at io n : P = (m m ) Co m p ut e: P = m m Co n clud in g Sen t en ce: Th e p erim et er o f t h e r eg ular p en t ago n ab o ve is mm. Fin d t h e area o f t h e t rian gle in Part I Fin d t h e circum f eren ce o f t h e circle in Part I.