FRA SUMMER MATH 2017 Math Course 3 The following can be found within this file on the specific pages listed: Content Math Course 3 Teacher Letter and Summer Math Directions Pages 2 Math Course 3 Overview 3 Math Course 3 Foundational Skills Packet 4-11 Math Course 3 Foundational Skills Packet Answer Key 12-18 1
Dear Math Course 3 students, At this point in your math education, you know all of the operations with different forms of numbers. You know how to add, subtract, multiply, and divide whole numbers, fractions, mixed numbers, decimals and integers. By keeping your skills up during the summer, you will be able to move forward with Course 3 in August. Ideally, doing a little math everyday will help your brain build stronger connections. Enclosed you will find some practice that requires paper/pencil as well as logging into your ALEKS account. Two Part Summer Math Requirements PART I: Foundational Skills Packet - Paper & Pencil Section Show all your work and use a pencil so you can erase when you make mistakes. Do not use a calculator. After coming up with your solution, ask yourself whether your solution is reasonable. Using a red/blue pen, check your work using the answer key. You can access the answer keys using the following link http://www.franklinroadacademy.com/academics/summerreading/middle-school-summer-reading-math/index.aspx Upon completion, print pages 4 11, staple these sheets together and be ready to submit your work on the first day of school. PART II: ALEKS - Knowledge Check and 3 Online Quizzes What is ALEKS? Assessment and LEarning in Knowledge Spaces is a Web-based, artificially intelligent assessment and learning system. ALEKS uses adaptive questioning to quickly and accurately determine exactly what a student knows and doesn't know in a course. Visit www.aleks.com. You will continue to use the same login and password you were assigned in 6 th grade. If you cannot remember your login or you are a new student, please email FRA s Help Desk at frahelpdesk@franklinroadacademy.com. The first time you log into ALEKS this summer, you will be prompted to take an ALEKS Knowledge Check. You cannot bypass this. This assessment will ask you 25-33 questions which vary in difficulty. There may be questions asked that require a skill you haven t learned. Do your best and be sure to have a pencil and paper ready. In addition, there will be three ALEKS online quizzes released by June 15 and must be completed before school starts. These online quizzes will be recorded as Daily Grades. You can take these quizzes multiple times. Please note that the highest score achieved is the one ALEKS records and the one I will use, too. Please do not work on your ALEKS Pie objectives. I look forward to a great year in Math Course 3! Happy summer! Mrs. Schwaner 2
FRA SUMMER MATH: Course 3 Benchmark Concepts/Skills: Add, subtract, multiply, and divide decimals. Add, subtract, multiply, and divide fractions. Add, subtract, multiply, and divide mixed numbers. Change fractions to decimals and vice versa. Compare and order fractions, decimals, and integers. Simplify expressions following the correct order of operations. Write a fraction and decimal as a percent and vice versa. Find the percent of a number. Find the area and perimeter of certain polygons. Understand angle terms and relationships. Use various methods to solve word problems. Requirement: Complete the foundational skills packets included in this document. Complete your ALEKS assessment and three online ALEKS quizzes. Resources: Math Course 3 Textbook (Math Connects Course 1) in e-backpack Math Facts ipad app : Mental Math Cards Tips, Fact Practice, & Timed Challenge Website with examples and practice: http://www.aaastudy.com/grade6.htm Website with video explanations: http://www.khanacademy.org/#arithmetic Website which answers questions: http://mathforum.org/dr.math/ Assessment: Foundational Skills packet (printed, completed, and corrected) to be handed in on August 15, 2017, will be recorded as a Daily Grade. ALEKS Knowledge Check and 3 ALEKS quizzes to be completed by August 14, 2017, will be recorded as Daily Grades. Foundational and Computational assessments to be administered during the opening weeks of the school year. Quizzes will be taken on ALEKS and pencil and paper. Extension (Optional Learning Opportunities) IXL Website: http://www.ixl.com/math/grade-6 3
Name Foundational Skills: Math Course 3: Mixed Computation Practice Complete each question below. Make sure to include any remainder with a quotient if necessary. Remember to simplify when possible. Show all work clearly. No calculators. A 46,137 +49,223 B 2 1 3 3 C 38,488-30,759 D 5 1 6 3 E 64,942-54,630 F 5 3 6 G 1.484 4.3 H 3 2 4 5 I 6 10 7 3 11 11 4
J 2.65 5.9 K 6,321 878 L 38 8062 M 1.186 + 6.96 N 96 93 O 2 1 5 4 7 3 P 4 3 7 6 5 5 Q 3.296 2.2958 R 528 4595 5
S 3 1 7 3 T 1 7 1 4 4 8 U 0.18 1.44 V 3 2 7 W 37 0.666 X 40,087 +96,621 Y 9,498 196 Z 3 2 5 3 6
1. Which of the operations and types of numbers do you enjoy working with the most? Why? 2. Which of the operations and types of numbers give you the most difficulty? Why? 3. Write examples of expressions that are the most difficult for you and simplify them. 7
Foundational Skills: Math Course 3 Math Concepts in Review Complete each box below. Show any necessary work clearly. Put a star or asterisks by ones that you needed to do extra research about before you remembered what to do. Fill in the missing number. 18 7 3 = 21 29 30 = 150 29 8 + 5 = 2 + 2 (6 + 2) = 4 Complete. = 50% of 31 25% of 32 = 10% of = 8 Complete. 1 of 268 = 1 of 268 = 10 1 100 of 268 = 1 of 268 = 1000 List all of the factors of 36. Sketch a triangle that has 3 acute angles. List the first 4 multiples of 18. Fill in the missing equivalencies. fraction decimal percent 11 20 0.98 7 25 60% 8
Find the area of a triangle with a height length of 12 feet and a base length of 4feet. Order from least to greatest: 5 1 6 1,,, 9 2 10 3 Simplify following the order of operations. 3 + 4 2 1 Insert parentheses so that the expression above equals 7. Simplify. 6 3 7 5 Write a mixed number for each fraction. a. b. 43 7 320 25 Round to the given place value. 12,983.7654 Tens Tenths c. 147 4 Thousands Hundredths Complete. 2 of 20= 5 1 of = 50 4 3 of 21 = 7 Write >, <, or =. 1 + 2 1 2 ( 1 )(8) (9)(0.25) 4 10% of 25 24.1 +0.999-9 -10 1.0091 1.01919 Find the area and perimeter of a rectangle with length of 5 units and width of 3 units. 9
Mark zero on the line below then graph the following integers in relation to the zero. 1, -5, 4, -2, -3, 6 Rename as necessary. 18 ft. 10 in + 11 ft. 8 in Simplify: 1 3 4 1 4 3 List 4 fractions that are equivalent to 4 12. Write the number 1.8 in three different ways. Sketch an obtuse angle. Find the following. The sum of 4.1 and 3.2 is. The difference of 4.1 and 3.2 is. The product of 4.1 and 3.2 is. The quotient of 4 and 3 is. 10
Foundational Skills: Math Course 3 PROBLEM SOLVING Complete each question below. Show your work clearly. 1. The sum of five different positive integers is 100. What is the largest possible value for one of these integers? 2. The number of bicycles in the repair shop is 5 times the number of tricycles in the shop. There are a total of 39 wheels. How many bicycles are in the shop? 3. The top prizes in a golf tournament totaled $126,000. The golfer who finished second received twice as much as the golfer who finished third. The winner of the tournament received 3 times as much as the golfer who finished second. How much did the winner receive? 11
Foundational Skills: Math Course 3 Mixed Computation Practice Complete each question below. Make sure to include any remainder with a quotient if necessary. Remember to reduce to lowest terms when possible. Show all work clearly. A 46,137 +49,223 B 2 1 3 3 C 38,488-30,759 D 5 1 6 3 E 64,942-54,630 F 5 3 6 G 1.484 4.3 H 3 2 4 5 I 6 10 7 3 11 11 12
J 2.65 5.9 K 6,321 878 L 38 8062 M 1.186 + 6.96 N 96 93 O 2 1 5 4 7 3 P 4 3 7 6 5 5 Q 3.296 2.2958 R 528 4595 13
S 3 1 7 3 T 1 7 1 4 4 8 U 0.18 1.44 V 3 2 7 W 37 0.666 X 40,087 +96,621 Y 9,498 196 Z 3 2 5 3 14
Foundational Skills: Math Course 3 Math Concepts in Review Complete each box below. Show any necessary work clearly. Put a star or asterisks by ones that you needed to do extra research about before you remembered what to do. Fill in the missing number. 18 7 3 = 21 29 30 = 150 29 8 + 5 = 2 + 2 (6 + 2) = 4 Complete. = 50% of 31 25% of 32 = 10% of = 8 Complete. 1 of 268 = 1 of 268 = 10 1 100 of 268 = 1 of 268 = 1000 List all of the factors of 36. Sketch a triangle that has 3 acute angles. List the first 4 multiples of 18. Fill in the missing equivalencies. fraction decimal percent 11 20 0.98 7 25 60% 15
Find the area of a triangle with a height length of 12 feet and a base length of 4feet. Order from least to greatest: 5 1 6 1,,, 9 2 10 3 Simplify following the order of operations. 3 + 4 2 1 Insert parentheses so that the expression above equals 7. Simplify. 6 3 7 5 Write a mixed number for each fraction. a. b. 43 7 320 25 Round to the given place value. 12,983.7654 Tens Tenths c. 147 4 Thousands Hundredths Complete. 2 of 20= 5 1 of = 50 4 3 of 21 = 7 Write >, <, or =. 1 + 2 1 2 ( 1 )(8) (9)(0.25) 4 10% of 25 24.1 +0.999-9 -10 1.0091 1.01919 Find the area and perimeter of a rectangle with length of 5 units and width of 3 units. 16
Mark zero on the line below then graph the following integers in relation to the zero. 1, -5, 4, -2, -3, 6 Rename as necessary. 18 ft 10 in + 11 ft 8 in Simplify: 1 3 4 1 4 3 List 4 fractions that are equivalent to 4 12. Write the number 1.8 in three different ways. Sketch an obtuse angle. Find the following. The sum of 4.1 and 3.2 is. The difference of 4.1 and 3.2 is. The product of 4.1 and 3.2 is. The quotient of 4 and 3 is. 17
Foundational Skills: Math Course 3 PROBLEM SOLVING Complete each question below. Show your work clearly. 4. The sum of five different positive integers is 100. What is the largest possible value for one of these integers? 5. The number of bicycles in the repair shop is 5 times the number of tricycles in the shop. There are a total of 39 wheels. How many bicycles are in the shop? 6. The top prizes in a golf tournament totaled $126,000. The golfer who finished second received twice as much as the golfer who finished third. The winner of the tournament received 3 times as much as the golfer who finished second. How much did the winner receive? 18