Farnsley Middle SchoolSummer Math Program Incoming 7th graders 2013 Summer Math Practice WHAT! You want us to do MATH…in the SUMMER??? In the past, students at Farnsley have participated in a summer reading program to ensure they retain the skills they have learned over the summer. Through that program, the students have demonstrated how important it is to read and write throughout the summer. We have now widened the focus to ensure that students also retain previously learned math skills. The students will be given math packets to complete over the course of the summer. These packets have been designed to review topics that were taught to them this past school year that teachers have identified as crucial for success in the next grade level. For optimal results, it is highly recommended that they complete a portion of the packet each week. This will ensure that skills are being reinforced weekly and that the students do not become overwhelmed. You are also expected to know all of your multiplication facts when you come to Farnsley. Please make sure to practice these over the summer. Homeroom competitions will start early this year Requirements: The packet will count for the students first test grade in their math class. Should includes labels, units, appropriate math vocabulary , etc. ALL students entering grades 6-8 are expected to complete a summer math packet. All work needs to be shown with final answers listed on the answer sheet. Failure to do this will result in a drop of a letter grade on the assignment. Due on Friday, August 30th If you lose your packet, please go to www.farnsley.us to print another one. Get off of those video games! There are better ways to spend 20 minutes a day! One of the goals of every Farnsley Student is to be FLUENT with their multiplication facts. There are lots of cool websites to help you practice these over the summer. Here are a few; http://www.math-play.com www.hoodamath.com www.coolmath.com http://www.mathplayground.com/ http://www.multiplication.com/games http://www.fun4thebrain.com/mult.html http://www.funbrain.com Parents can also sign their students up for a free www.xtramath.com account to practice skills. If your student completes at least 15 sessions over the summer, print out a progress report and turn it in for a free jeans pass! You can also continue to access SUCCESSMAKER if you have a username/password by going to www.jcpsky.net and clicking on Students and then the Successmaker logo. Summer Brain Drain! Did you know… Research has found that on average, ALL students lose approximately 2.6 months of grade level equivalency in math skills over the summer months. This is almost one-third of a typical school year! 1 No Calculators. Show all work in packet, but record final answers on this sheet. ENTIRE packet needs to th be turned in August 30 . Decimal Operations Order of Operations Number Theory Rounding 1._____________ 2._____________ 3._____________ 4._____________ 5._____________ 6._____________ 7._____________ 8._____________ 9._____________ 10.____________ 11.____________ 12.____________ 13.____________ 14.____________ 15.____________ Fraction Operations 1._____________ 2._____________ 3._____________ 4._____________ 5._____________ 6._____________ 7._____________ 8._____________ 9._____________ 10.____________ 11.____________ 12.____________ 13.____________ 14.____________ Comparing Fractions 1._____________ 2._____________ 3._____________ 4._____________ 5._____________ 6._____________ 7._____________ 8._____________ 9._____________ 10.____________ 11.____________ 12.____________ 13.____________ 14.____________ 15.____________ Coordinate Graphing 1._____________ 2._____________ 3._____________ 4._____________ 5._____________ 6._____________ 7._____________ 8._____________ 9._____________ 10.____________ 11.____________ 12.____________ 13.____________ 14.____________ 15.____________ 16._______________ Rational Numbers 1._____________ 2._____________ 3._____________ 4._____________ 5._____________ 6._____________ 7._____________ 8._____________ 9._____________ 10.____________ 11.____________ 12.____________ 13.____________ 14.____________ 15.____________ 1._____________ 2._____________ 3._____________ 4._____________ 5._____________ 6._____________ 7._____________ 8._____________ 9._____________ 10.____________ 11.____________ 12.____________ 13.____________ 14.____________ 15.____________ 1. 1.________________ 2.________________ 2. 3.________________ 4.________________ 5.________________ 3. 6.________________ 4. 2 Students entering the 7th grade By the end of the sixth grade your student should be able to… Use ratio language and understand the concept of a ratio. Calculate and understand concept of unit rate (If a car drives 180 miles on 5 gallons of gas, how many miles can they drive on 1 gallon) Complete tables using equivalent ratios, solve real world ratio problems. Divide fractions fluently. Divide multi digit numbers fluently (long division) Perform all decimal operations (+, -, x, ÷ ) Find greatest common factor and least common multiple Use positive and negative integers in real world context (temp, bank balances, elevation) Find positive and negative numbers on a number line Understand absolute value of rational numbers (distance from zero on # line) Graph in all 4 quadrants of a coordinate grid and find distances between points. Write and evaluate expressions that include exponents Use order of operations Use variables to represent numbers and write expressions Read write and evaluate expressions where letters stand for numbers Write and solve equations ( 4 + x = 5 or 4y=20 ) Use variables to represent quantities that change in relation to one another (ex. When x increases, y increases, etc) Find area of triangles, quadrilaterals, and other polygons Find the volume of rectangular prisms, find surface area using nets for 3-D figures Use mean, median, mode and range to describe a set of data Display data in number lines, box plots, dot plots and histograms Farnsley Middle School 3 Decimal Operations All work must be shown on this paper to receive full credit. Make sure to read the directions for each section. Place your answers on the correct section of the answer sheet. 1. 8.9 + 2.4 3. 18.35 -9.6 2. 12.7-9.6 4. 7.21 + 11.6 5. 0.975 + 3.8 6. 20.66 - 9.1 7. 0.5 X 0.7 8. 0.3 X 0.06 9. 6.12 X 5.9 10. 0.84 + 6 11. Allen bought a box of envelopes for $2.79 and a pack of paper for $4.50. He paid with a $10 bill. How much change should he receive? 12. Jocelyn has 3.5 yards of ribbon. She needs 0.6 yards of ribbon to make one bow. How many bows can Jocelyn make? 13. Mary invited her 4 friends home after school. Her mom gave all the children milk. The children altogether drank 6 glasses of milk. Assuming each of them drank the same amount, how much milk did each one drink? 14. Find the quotient of 3.2 ÷ 0.4. 15. Danielle paid $11.20 for 14 basketballs. What is the cost of each basketball? 4 Name Fraction Operations All work must be shown on this paper to receive full credit. Make sure to read the directions for each section. Place your answers on the correct section of the answer sheet. 5 6 Order of Operations All work must be shown on this paper to receive full credit. Make sure to read the directions for each section. Place your answers on the correct section of the answer sheet. Evaluate each expression. 1. 10+6x2 2. (15+39) + 6 3. (20-15) X 2+1 (2x4)+8-(5x3) 5. 9+(7-1) X 2 6. 8. 8+5x10-12 Add parentheses so that each equation is correct. 9. 7 + 9 X 3-1 = 25 10. 5+ 6 X 9 + 3 = 23 11. 23 -7 X 4 = 4 12. 12+3x2=2 13. Tyler walked 2 miles a day for the first week of his exercise plan. Then he walked 3 miles a day for the next 9 days. How many miles did Tyler walk in all? 14. Paulo's father bought 8 pizzas and 12 bottles of juice for the class party. Each pizza cost $9 and each bottle of juice cost $2. Paulo's father paid with a $100-bill. How much change did he get back? 7 Comparing and Ordering Fractions All work must be shown on this paper to receive full credit. Make sure to read the directions for each section. Place your answers on the correct section of the answer sheet. Compare. Write<,>. or=. 8 Number Theory All work must be shown on this paper to receive full credit. Make sure to read the directions for each section. Place your answers on the correct section of the answer sheet. Tell whether each number is divisible by 2, 3, 4, 5, 6, 9, and 10. 1. 12,680 4. List all the factors of 28. 5. Write the prime factorization of 72. 2. 1638 3. 735 Find the GCF of each set of numbers. 6. 15 and 35 7. 27, 36, and 54 Write each decimal as a fraction or mixed number. 8. 0.31 9) 2.53 Write each fraction or mixed number as a decimal. Order the fractions and decimals from least to greatest. 9 15. Alice has 42 red beads and 24 white beads. What is the greatest number of bracelets Alice can make if each bracelet has the same number of white beads and every bead is used? Coordinate Graphing 10 Rounding Rounding a numerical value means replacing it by another value that is approximately equal but has a shorter, simpler, or more explicit representation. We round numbers to a specific place value. UNDERLINE the place value you're rounding to. Then check the place to the right and decide whether to keep it the same or round up. Round each of the following decimals to the nearest tenth. Write your answer on the blank. 1. 2. 3. 87.46 13.4395 23.648 _____________ _____________ _____________ 4. 8.862 5. 654.839 6. 32.971 _____________ _____________ _____________ Round each of the following decimals to the nearest hundredth. Write your answer on the blank. 7. 26.879 8. 675.495132 _____________ _____________ 9. 429.76492 _____________ 10. 3.8961 _____________ Round each of the following decimals to the nearest thousandth. Write your answer on the blank. 11. 653.0985 12. 9.0019 13. 11.54001 ______________ ______________ ______________ 14. 1.9970 15. 13.1121 16. 90.3456 _______________ _______________ _______________ 11 12
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