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PARENTS’ GUIDE TO
Student Success
 This guide provides an overview of what your child will                      HIGH SCHOOL MATH
 learn during high school in mathematics. It focuses on the
 key skills your child will learn in math, which will build
 a strong foundation for success in many of the other subjects he or she studies throughout high
 school. This guide is based on the new Common Core State Standards, which have been adopted
 by more than 40 states. These K–12 standards are informed by the highest state standards from
 across the country. If your child is meeting the expectations outlined in these standards, he or she
 will be well prepared for success after graduation.

 WHY ARE ACADEMIC STANDARDS IMPORTANT?                      HOW CAN I HELP MY CHILD?
 Academic standards are important because they              You should use this guide to help build a relationship
 help ensure that all students, no matter where             with your child’s teacher. You can do this by talking to
 they live, are prepared for success in college and         his or her teacher regularly about how your child is
 the workforce. They help set clear and consistent          doing — beyond parent-teacher conferences.
 expectations for students, parents, and teachers;
 build your child’s knowledge and skills; and help set      At home, you can play an important role in setting high
 high goals for all students.                               expectations and supporting your child in meeting them.
                                                            If your child needs a little extra help or wants to learn
 Of course, high standards are not the only thing           more about a subject, work with his or her teacher to
 needed for our children’s success. But standards           identify opportunities for tutoring, to get involved in
 provide an important first step — a clear roadmap for      clubs after school, or to find other resources.
 learning for teachers, parents, and students. Having
 clearly defined goals helps families and teachers
 work together to ensure that students succeed.               THIS GUIDE INCLUDES
 Standards help parents and teachers know when                ■ An overview of some of the key things your child
 students need extra assistance or when they need               will learn in math in high school
 to be challenged even more. They also will help your
                                                              ■ Topics of discussion for talking to your child’s
 child develop critical thinking skills that will prepare
                                                                teacher about his or her academic progress
 him or her for college and career.
                                                              ■ Tips to help your child plan for college and
                                                                career
Mathematics
   To prepare for college and career, your child will study mathematics across a broad
   spectrum, from pure mathematics to real-world applications. Numerical skill and
   quantitative reasoning remain crucial even as students move forward with algebra.
   Algebra, functions, and geometry are important not only as mathematical subjects
   in themselves but also because they are the language of technical subjects and the
   sciences. And in a data-rich world, statistics and probability offer powerful ways of
   drawing conclusions from data and dealing with uncertainty. The high school standards
   also emphasize using mathematics creatively to analyze real-world situations — an
   activity sometimes called “mathematical modeling.”

   The high school standards are organized into six major content areas: Number and
   Quantity; Algebra; Functions; Modeling; Geometry; and Statistics and Probability.




A Sample of the Work Your Child Will Be Doing To Become
Ready for College and Career
NUMBER AND QUANTITY                                       ALGEBRA
■ Working with rational and irrational numbers,           ■ Solving real-world and mathematical problems by
  including working with rational exponents (e.g.,          writing and solving nonlinear equations, such as
  rewriting (53)1/2 as 5√5)                                 quadratic equations (ax2 + bx + c = 0)
■ Solving problems with a wide range of units and         ■ Interpreting algebraic expressions and
  solving problems by thinking about units (e.g., “The      transforming them purposefully to solve problems
  Trans Alaska Pipeline System is 800 miles long and        (e.g., in solving a problem about a loan with interest
  cost $8 billion to build. Divide one of these numbers     rate r and principal P, seeing the expression P(1+r)n
  by the other. What is the meaning of the answer?”;        as a product of P with a factor not depending on P)
  “Greenland has a population of 56,700 and a land
  area of 2,175,600 square kilometers. By what factor     FUNCTIONS
  is the population density of the United States,
                                                          ■ Analyzing functions algebraically and graphically,
  80 persons per square mile, larger than the
                                                            and working with functions presented in different
  population density of Greenland?”)
                                                            forms (e.g., given a graph of one quadratic function
                                                            and an algebraic expression for another, say which
                                                            has the larger maximum)
                                                          ■ Working with function families and understanding
                                                            their behavior (such as linear, quadratic, and
                                                            exponential functions)
MODELING                                                   ■ Using coordinates and equations to describe
                                                             geometric properties algebraically (e.g., writing
■ Analyzing real-world situations using mathematics
                                                             the equation for a circle in the plane with specified
  to understand the situation better and optimize,
                                                             center and radius)
  troubleshoot, or make an informed decision (e.g.,
  estimating water and food needs in a disaster area,
  or using volume formulas and graphs to find an           STATISTICS AND PROBABILITY
  optimal size for an industrial package)                  ■ Making inferences and justifying conclusions from
                                                             sample surveys, experiments, and observational
GEOMETRY                                                     studies
■ Proving theorems about triangles and other figures       ■ Working with probability and using ideas from
  (e.g., that the angles in a triangle add to 180º)          probability in everyday situations (e.g., comparing
                                                             the chance that a person who smokes will develop
■ Solving applied problems involving trigonometry of
                                                             lung cancer to the chance that a person who
  right triangles
                                                             develops lung cancer smokes)




Keeping the conversation focused.
When you talk to the teacher, do not worry about covering everything. Instead, keep
the conversation focused on the most important topics. In high school, these include:
                                                                                               Talking to
                                                                                              Your Child’s
■ Does my child have a strong grounding in arithmetic, including operations on                  Teacher
  fractions, decimals, and negative numbers?
■ Does my child take a thinking approach to algebra and work with algebraic
  symbols fluently?
■ Is my child comfortable using coordinates in algebra and geometry?
■ Can my child break a complex problem down into parts and apply the math he or
  she knows to problems outside of mathematics?
■ Does my child use terms precisely and make logical arguments?
■ Does my child have the knowledge to learn advanced mathematics after high
  school if he or she so chooses?
Ask to see a sample of your child’s work. Ask the teacher questions such as: Is this
piece of work satisfactory? How could it be better? Is my child on track? How can I
help my child improve or excel in this area? If my child needs extra support or wants to
learn more about a subject, are there resources to help his or her learning outside the
classroom?




                                                                                                              PTA.org
PARENT TIPS
Planning for College and Career
 At the beginning of high school, sit down with your child’s teachers, counselor, or other
 advisor to discuss what it will take for your child to graduate, your child’s goals, and his or
 her plans after high school. Create a plan together to help your child reach these goals, and
 review it every year to make sure he or she is on track.



 This plan should include:
 ■	 An appropriate course sequence to meet your child’s goals. For example, if your child wants to study
    biosciences in college, he or she will likely need additional or advanced math and science courses in high
    school to be prepared for college-level coursework.
 ■ The most appropriate extracurricular activities for your child to participate in. For example, if your child is
   interested in journalism or photography, encourage him or her to sign up for the school newspaper or yearbook.
   These activities will help your child expand his or her learning outside of school and may help foster new
   hobbies or interests.
 ■ Ways you can help your child prepare for college or career. For example, if your child is interested in a particular
   field, look to see if internships exist to build his or her work experience in that subject area. Look for college fairs
   to attend, and encourage your child to visit colleges he or she might be interested in.
 ■ Finding ways to pay for college or advanced training. College can be expensive, but there are lots of ways to
   get financial help, such as scholarships, grants, work study programs, and student loans. You just need to make
   the time for you and your child to do the research. You can start by helping your child fill out the FAFSA (Free
   Application for Federal Student Aid) during his or her senior year of high school. Visit www.fafsa.ed.gov for help
   and more information on FAFSA and financial aid.



 For more information, the full standards are available at www.corestandards.org.




                                                                                                National PTA
                                                                                                1250 N Pitt Street
                                                                                                Alexandria,VA 22314
                                                                                                Toll-Free: (800) 307-4PTA (4782)
                                                                                                PTA.org • info@pta.org

                                                                                 © 2011 PTA All rights reserved. Printed in U.S.A. (1/11)
                                and everychild.onevoice.® are registered service marks of the National Congress of Parents and Teachers.

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High School Math--Parent's Guide to Student Success

  • 1. PARENTS’ GUIDE TO Student Success This guide provides an overview of what your child will HIGH SCHOOL MATH learn during high school in mathematics. It focuses on the key skills your child will learn in math, which will build a strong foundation for success in many of the other subjects he or she studies throughout high school. This guide is based on the new Common Core State Standards, which have been adopted by more than 40 states. These K–12 standards are informed by the highest state standards from across the country. If your child is meeting the expectations outlined in these standards, he or she will be well prepared for success after graduation. WHY ARE ACADEMIC STANDARDS IMPORTANT? HOW CAN I HELP MY CHILD? Academic standards are important because they You should use this guide to help build a relationship help ensure that all students, no matter where with your child’s teacher. You can do this by talking to they live, are prepared for success in college and his or her teacher regularly about how your child is the workforce. They help set clear and consistent doing — beyond parent-teacher conferences. expectations for students, parents, and teachers; build your child’s knowledge and skills; and help set At home, you can play an important role in setting high high goals for all students. expectations and supporting your child in meeting them. If your child needs a little extra help or wants to learn Of course, high standards are not the only thing more about a subject, work with his or her teacher to needed for our children’s success. But standards identify opportunities for tutoring, to get involved in provide an important first step — a clear roadmap for clubs after school, or to find other resources. learning for teachers, parents, and students. Having clearly defined goals helps families and teachers work together to ensure that students succeed. THIS GUIDE INCLUDES Standards help parents and teachers know when ■ An overview of some of the key things your child students need extra assistance or when they need will learn in math in high school to be challenged even more. They also will help your ■ Topics of discussion for talking to your child’s child develop critical thinking skills that will prepare teacher about his or her academic progress him or her for college and career. ■ Tips to help your child plan for college and career
  • 2. Mathematics To prepare for college and career, your child will study mathematics across a broad spectrum, from pure mathematics to real-world applications. Numerical skill and quantitative reasoning remain crucial even as students move forward with algebra. Algebra, functions, and geometry are important not only as mathematical subjects in themselves but also because they are the language of technical subjects and the sciences. And in a data-rich world, statistics and probability offer powerful ways of drawing conclusions from data and dealing with uncertainty. The high school standards also emphasize using mathematics creatively to analyze real-world situations — an activity sometimes called “mathematical modeling.” The high school standards are organized into six major content areas: Number and Quantity; Algebra; Functions; Modeling; Geometry; and Statistics and Probability. A Sample of the Work Your Child Will Be Doing To Become Ready for College and Career NUMBER AND QUANTITY ALGEBRA ■ Working with rational and irrational numbers, ■ Solving real-world and mathematical problems by including working with rational exponents (e.g., writing and solving nonlinear equations, such as rewriting (53)1/2 as 5√5) quadratic equations (ax2 + bx + c = 0) ■ Solving problems with a wide range of units and ■ Interpreting algebraic expressions and solving problems by thinking about units (e.g., “The transforming them purposefully to solve problems Trans Alaska Pipeline System is 800 miles long and (e.g., in solving a problem about a loan with interest cost $8 billion to build. Divide one of these numbers rate r and principal P, seeing the expression P(1+r)n by the other. What is the meaning of the answer?”; as a product of P with a factor not depending on P) “Greenland has a population of 56,700 and a land area of 2,175,600 square kilometers. By what factor FUNCTIONS is the population density of the United States, ■ Analyzing functions algebraically and graphically, 80 persons per square mile, larger than the and working with functions presented in different population density of Greenland?”) forms (e.g., given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum) ■ Working with function families and understanding their behavior (such as linear, quadratic, and exponential functions)
  • 3. MODELING ■ Using coordinates and equations to describe geometric properties algebraically (e.g., writing ■ Analyzing real-world situations using mathematics the equation for a circle in the plane with specified to understand the situation better and optimize, center and radius) troubleshoot, or make an informed decision (e.g., estimating water and food needs in a disaster area, or using volume formulas and graphs to find an STATISTICS AND PROBABILITY optimal size for an industrial package) ■ Making inferences and justifying conclusions from sample surveys, experiments, and observational GEOMETRY studies ■ Proving theorems about triangles and other figures ■ Working with probability and using ideas from (e.g., that the angles in a triangle add to 180º) probability in everyday situations (e.g., comparing the chance that a person who smokes will develop ■ Solving applied problems involving trigonometry of lung cancer to the chance that a person who right triangles develops lung cancer smokes) Keeping the conversation focused. When you talk to the teacher, do not worry about covering everything. Instead, keep the conversation focused on the most important topics. In high school, these include: Talking to Your Child’s ■ Does my child have a strong grounding in arithmetic, including operations on Teacher fractions, decimals, and negative numbers? ■ Does my child take a thinking approach to algebra and work with algebraic symbols fluently? ■ Is my child comfortable using coordinates in algebra and geometry? ■ Can my child break a complex problem down into parts and apply the math he or she knows to problems outside of mathematics? ■ Does my child use terms precisely and make logical arguments? ■ Does my child have the knowledge to learn advanced mathematics after high school if he or she so chooses? Ask to see a sample of your child’s work. Ask the teacher questions such as: Is this piece of work satisfactory? How could it be better? Is my child on track? How can I help my child improve or excel in this area? If my child needs extra support or wants to learn more about a subject, are there resources to help his or her learning outside the classroom? PTA.org
  • 4. PARENT TIPS Planning for College and Career At the beginning of high school, sit down with your child’s teachers, counselor, or other advisor to discuss what it will take for your child to graduate, your child’s goals, and his or her plans after high school. Create a plan together to help your child reach these goals, and review it every year to make sure he or she is on track. This plan should include: ■ An appropriate course sequence to meet your child’s goals. For example, if your child wants to study biosciences in college, he or she will likely need additional or advanced math and science courses in high school to be prepared for college-level coursework. ■ The most appropriate extracurricular activities for your child to participate in. For example, if your child is interested in journalism or photography, encourage him or her to sign up for the school newspaper or yearbook. These activities will help your child expand his or her learning outside of school and may help foster new hobbies or interests. ■ Ways you can help your child prepare for college or career. For example, if your child is interested in a particular field, look to see if internships exist to build his or her work experience in that subject area. Look for college fairs to attend, and encourage your child to visit colleges he or she might be interested in. ■ Finding ways to pay for college or advanced training. College can be expensive, but there are lots of ways to get financial help, such as scholarships, grants, work study programs, and student loans. You just need to make the time for you and your child to do the research. You can start by helping your child fill out the FAFSA (Free Application for Federal Student Aid) during his or her senior year of high school. Visit www.fafsa.ed.gov for help and more information on FAFSA and financial aid. For more information, the full standards are available at www.corestandards.org. National PTA 1250 N Pitt Street Alexandria,VA 22314 Toll-Free: (800) 307-4PTA (4782) PTA.org • info@pta.org © 2011 PTA All rights reserved. Printed in U.S.A. (1/11) and everychild.onevoice.® are registered service marks of the National Congress of Parents and Teachers.