Download Materials: 1 inch binder for math class only notebook or loose leaf

8th Grade Pre-Algebra
Mrs. Langford
Materials:
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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:
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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.
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7.NS.2:: Apply and extend previous understandings of multiplication and division and of fractions to multiply and
divide rational numbers.
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7.NS.3: Solve real-world and mathematical problems involving the four operations with rational numbers.
Student Learning Targets:
1.
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4.
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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:
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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.
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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.
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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.
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3.
4.
5.
6.
7.
8.
Integer exponents
Base
Power
Squared
Cubed
Scientific Notation
Standard Notation
Quantity
Unit 3: The Real Number System
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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.
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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.
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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.
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8.G.6 – Explain a proof of the Pythagorean Theorem and its converse.
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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.
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8.G.8 – Apply the Pythagorean Theorem to find the distance between two points in coordinate system.
Unit 3 Continued:
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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.