SEMESTER ONE STARTUP Student Packet

Transcription

1 Name Period Date SEMESTER ONE STARTUP Student Packet 0.1 Getting to Know You Learn facts about the students in the classroom. Establish a cooperative environment in the classroom. Use Venn diagrams to organize data. 0.2 Pre-Assessment 1 Identify strengths and areas for growth in the mathematical preparation of students. 0.3 Whole Numbers: Vocabulary, Addition and Subtraction Review vocabulary associated with various operations and symbols in mathematics. Review addition and subtraction of whole numbers. Use commutative and associative property to simplify calculations. Use sense-making strategies for addition and subtraction of whole numbers. Connect addition and subtraction strategies to traditional algorithms Week 0 SP

2 0.1 Getting to Know You GETTING TO KNOW YOU Ready (Summary) We will use math skills and communication skills to learn some things about each other and to establish a cooperative environment in the classroom. Set (Goals) Learn facts about the students in the classroom. Establish a cooperative environment in the classroom. Use Venn diagrams to organize data. Go (Warmup) Use the Venn diagram below to organize this information: María likes to play basketball, soccer, and softball. Hon likes to play soccer and run track. María Hon Week 0 SP1

3 0.1 Getting to Know You VENN FRIEND (TWO PEOPLE) Use this Venn diagram to record at least three similarities and three differences between you and your partner. Name Name Week 0 SP2

4 0.1 Getting to Know You FIND A CLASSMATE Find someone in your class who knows the sixth knows the prime number greatest common factor of 36 and 8 knows the name of a six-sided polygon is wearing blue plays basketball knows the first prime number likes chocolate loves math has seen at least two movies this year likes UCLA can use a computer can compute the square root of 144 knows what college or university he or she wants to attend has visited a museum knows how to play at least two different card games has been to another country has an age that is a prime number was born in the same month as you can compute 8 squared can compute 3 raised to the third power has seen a movie at an IMAX theater has an age that is a multiple of 2 who knows the least common multiple of 6 and 15 likes to work in groups knows the number of sides on a nonagon Week 0 SP3

5 0.2 Pre-Assessment 1 PRE-ASSESSMENT 1 Ready (Summary) We will individually take a diagnostic test designed to assess our preparation for a pre-algebra course. Set (Goals) Identify strengths and areas for growth in the mathematical preparation of students. Go (Warmup) Here are six topics that we will study in math this year. Circle the topics you think you understand very well. Underline the topics that you think you do not understand very well. whole numbers fractions, decimals, percents algebraic expressions and equations integers ratios and proportions linear functions exponents probability and statistics geometry: length, area, and volume Week 0 SP4

6 SKILL BUILDER 1A Circle the correct symbol(s) corresponding to each word or phrase. 1. Sum = + 2. Product = + 3. Difference = + 4. Quotient = + 5. Is equal to = + 6. Parentheses < > ( ) 7. Is not equal to < > ( ) 8. Is greater than < > ( ) = 9. Is less than < > ( ) = Fill in the blanks with the term that fits the best. 10. In 8 3 = 24, the is In = 4, the is In = 10, the is In 4412, 412 is the. Terms factor difference dividend divisor product sum 14. In = 16, the is 16. Week 0 SP5

7 SKILL BUILDER 1B 15. Write three different mathematical expressions for 14 times 2. Compute each sum or difference , ,190 3, Here is Shelley s solution for an arithmetic problem. 6, ,521 10,206 Is her solution correct? Explain. Compute mentally. Explain how you got your answer , Week 0 SP6

8 SKILL BUILDER 2 Write a symbol to describe each word or phrase. 1. Is less than 2. Subtract 3. Is equal to 4. Is approximately equal to 5. Sum 6. Is not equal to 7. Product 8. Quotient Compute. 9. 4, ,183 2, ,114 13, , , , , Here is Mark s work for the arithmetic problem. 9, ,221 Is he correct? Explain. 16. Write three different mathematical expressions for 9 times 12. Week 0 SP7

9 SKILL BUILDER 3A 1. What is the product of 6 and 5? 2. What is the sum of 9 and 8? 3. What is the quotient of 9 divided by 3? 4. What is the difference of 777 minus 64? 5. Write three different mathematical expressions for 14 times 12. Compute. 6. 5, , ,321 3,084 Compute mentally. Explain how you arrived at your answer Week 0 SP8

10 SKILL BUILDER 3B Some Properties of Arithmetic Commutative property of addition: For all numbers a and b, a + b = b + a Example: = Associative property of addition: For all numbers a, b, and c, (a + b) + c = a + (b + c) Example: (3 + 4) + 6 = 3 + (4 + 6) Complete each equation and write the property = = ( ) + 20 = 54 + ( ) = 12. Is subtraction commutative? Give an example to support your answer. 13. Is subtraction associative? Give an example to support your answer. Week 0 SP9

11 This page is left intentionally blank for notes. Week 0 SP10

12 Home-School Connection 0 Dear Parent (or Guardian), This year, your student will be taking an algebra readiness course designed by UCLA teacherleaders, mathematics educators, and mathematicians. The first semester of the course will emphasize foundational skills and concepts needed for success in pre-algebra, and the second semester will focus on pre-algebra skills needed for success in algebra. We encourage you to join your student s teacher and school as a partner in your young mathematician s progress. Each week your student will receive a colorful packet that contains all the work for the week. Some of this work will be done in class, and some will be assigned for homework. You can take an active role by reviewing the packet each week and asking your student to explain some problems to you. This will allow your student to practice communicating about mathematics, and give you an opportunity to find out what is being taught in the classroom. Your signature will indicate to the teacher that you have reviewed the work together. If you see that your student does not fully understand a concept, please encourage your student to use the Student Handbook that accompanies the program as a reference, and to ask the teacher for additional help. Thank you in advance for your support, and we hope you enjoy watching your student grow mathematically this year. Sincerely, The Introduction to Algebra Writing Team Parent (or Guardian) signature Selected California Mathematics Content Standards NS Estimate and compute the sum and difference of whole numbers and positive decimals to two places. MR Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions with evidence in both verbal and symbolic work. Week 0 SP11