* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Materials: 1 inch binder for math class only notebook or loose leaf
Vincent's theorem wikipedia , lookup
Mathematics of radio engineering wikipedia , lookup
Infinitesimal wikipedia , lookup
Bra–ket notation wikipedia , lookup
History of mathematics wikipedia , lookup
Foundations of mathematics wikipedia , lookup
Georg Cantor's first set theory article wikipedia , lookup
List of important publications in mathematics wikipedia , lookup
Approximations of π wikipedia , lookup
Abuse of notation wikipedia , lookup
Big O notation wikipedia , lookup
System of polynomial equations wikipedia , lookup
Musical notation wikipedia , lookup
Fundamental theorem of algebra wikipedia , lookup
Location arithmetic wikipedia , lookup
Large numbers wikipedia , lookup
History of mathematical notation wikipedia , lookup
Real number wikipedia , lookup
Proofs of Fermat's little theorem wikipedia , lookup
8th Grade Pre-Algebra Mrs. Langford Materials: 1 inch binder for math class only notebook or loose leaf paper pencils (enough to last all year) Composition Notebook New Vocabulary that will be used in the classroom Target practice - what homework is called in my classroom Learning Targets – the math skills that a student must master in the 8th grade Investigations – what the sections are called in the Connected Math textbook series 1st Quarter Curriculum (August 4 – September 30) Unit 1: Rational Numbers Common Core Standards addressed: 7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. 7.NS.2:: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. 7.NS.3: Solve real-world and mathematical problems involving the four operations with rational numbers. Student Learning Targets: 1. 2. 3. 4. 5. 6. 7. 8. I can add and subtract decimals. I can multiply and divide decimals. I can add and subtract fractions. I can multiply and divide fractions. I can compare and convert fractions and decimals. I can add rational numbers. I can subtract rational numbers. I can multiply and divide rational numbers. Vocabulary: 1. Multiplicative Rational number inverse (reciprocal) 2. Additive Inverse 3. Divisor 4. Dividend 5. Quotient 6. Terminating Decimal 7. Repeating Decimal 8. Integer 9. Rational number Unit 2: Exponents and Scientific Notation Common Core Standards addressed: 8.EE.1 – Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 x 3 – 5 = 3 – 3 = 1/33 = 1/27. 8.EE.3 – Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 x 108 and the population of the world as 7 x 109, and determine that the world population is more than 20 times larger. 8.EE.4 – Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology. Student Learning Targets: 1. 2. 3. 4. I can evaluate expressions with exponents. I can use the product properties of exponents to simplify expressions. I can use the quotient properties of exponents to simplify expressions. I can convert a number from standard notation to scientific notation or vice versa. 5. I can compare quantities written in scientific notation, telling how much larger or smaller one is compared to the other. 6. I can add or subtract numbers written in scientific notation. 7. I can multiply or divide numbers written in scientific notation. Vocabulary: 1. 2. 3. 4. 5. 6. 7. 8. Integer exponents Base Power Squared Cubed Scientific Notation Standard Notation Quantity Unit 3: The Real Number System 8.NS.1 - Understand informally that every number has a decimal expansion; the rational numbers are those with decimal expansions that terminate in 0s or eventually repeat. Know that other numbers are called irrational. 8.NS.2 – Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions. 8.EE.2 – Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational. 8.G.6 – Explain a proof of the Pythagorean Theorem and its converse. 8.G.7 – Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. 8.G.8 – Apply the Pythagorean Theorem to find the distance between two points in coordinate system. Unit 3 Continued: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. Student Learning Targets: I can identify a rational number and an irrational number. I can change a fraction to a decimal or a decimal to a fraction. I can identify a repeating decimal and a terminating decimal. I can approximate irrational numbers as rational numbers. I can approximately locate an irrational number on a number line. I can estimate the value of expressions involving irrational numbers. I can explain why the square root of 2 is irrational. I can calculate the solution(s) of equations of the form x2 = p. I can calculate the solution of equations of the form x3 = p. I can evaluate square roots of small perfect squares. I can evaluate cube roots of small perfect cubes. I can explain a proof of the Pythagorean Theorem. I can calculate missing side lengths in real world problems using the Pythagorean Theorem. I can calculate the distance between two points in a coordinate system using the Pythagorean Theorem. Vocabulary 1. 2. 3. 4. 5. 6. 7. 8. 9. Real Number Irrational Number Rational Number Terminating Decimal Repeating Decimal Perfect Square Square Root Cube Root Pythagorean Theorem 10. Leg 11. Hypotenuse Grading Policy: Target practice (Homework) will be assigned on a daily basis. Students are expected to complete all assignments and keep all notes, class activities, target practices, etc. in the one inch binder each quarter, along with their textbook for that particular unit. Notes/activities - Students are expected to take classroom lesson notes and complete all in-class activities. These will be kept in your binder to use for homework help and as study guides for quizzes and tests. Quizzes – These will range from 30 to 50 points and will be given over multiple lessons in a unit. Tests/Open Response Questions – These will be at the end of each unit and will be worth approximately 100 points each. Bellringers/Flashbacks – This is completed at the beginning of class each day. This task is worth 10 points weekly. Quarter Final – This will be a cumulative test given at the end of each quarter. Grading Percentages: 60% - Assessments/Tests 20% - Quarter Final 10% - Quizzes 10% - Engagement Credit (Classwork, Bellringers, Etc.) *The grades for tests, quizzes, bellringers, etc. will be entered into Infinite Campus within 5 days of the due date. *Students are expected to complete all assignments, even if you are absent. If a student has a missing assignment due to absences, then I will speak to him/her individually about a due date for those assignments. Quizzes and tests must be taken afterschool if an absence occurred on the day they were given. Calculators: Due to the change in the state math requirements, calculators will be used on a very limited basis. All target practice problems (homework) should be completed at home without the use of a calculator. If you have any questions or concerns, please feel free to contact me by e-mail at [email protected] or by phone at 746-2290.