Download Week 1st Nine Weeks 1 Administrative Maintenance: order of ops

8th Grade Math Syllabus
First 9 Weeks 2014-2015
The syllabus is subject to change based on the needs of the students during each unit of study.
Week
1st Nine Weeks
1
Administrative Maintenance: order of ops., rational number operations, one step
equations, absolute value, opposites, and eliminating fractions from equations through
multiplication of the LCD
*Laundry Problem
*Real Number Race
* I have who has cards on integers and order of operations
2
Unit 1 -Sets of Real Numbers (estimating, comparing, ordering) 8.NS.1, 8.NS.2
Introduce understanding of hypotenuese as rational or irrational based on the type of
square root
3
Real Number System Continued
4
Solving multi-step equations 8.EE.7
Solving equations with variables on both sides
*Cut out activity with solving equations and combining like terms
5
Equations (Continued) -Maintenance - Solving multi-step inequalities
6
Solving equations with cube roots, square roots 8.EE.2
*I have who has cards on exponents and roots
7
Pythagorean Theorem 8.G.6 and distance on coordinate plane
8
9
Applying Pythagorean Theorem 8.G.7, 8.G.8
Powers, exponents, (rules for multiplying and dividing) 8.EE.1
Scientific notation and multiplying and dividing 2/numbers in sci. not. 8.EE.3, 8.EE.4
CSI Walk Around Activities
Order of Operations
Two Step Equations
Cut out Activities
Proportion and Similar Figures Puzzle
Ordering Numbers of Different Forms
Solving Equations
Solving Linear Equations
Combining Like Terms
I Have, Who Has Card Activities
Order of Operations
Integers
MARS Performance Based Activities
Building and Solving Equations 1
The Number System 8.NS
Know that there are numbers that are not rational, and approximate them by rational numbers.
1. Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational
numbers show that the decimal expansion repeats eventually and convert a decimal expansion which repeats eventually into a rational
number.
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.
Expressions and Equations 8.EE
Work with radicals and integer exponents.
1. Know and apply the properties of integer exponents to generate equivalent numerical expressions.
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.
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.
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.
Analyze and solve linear equations and pairs of simultaneous linear equations.
7. Solve linear equations in one variable.
a. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which
of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of
the form x = a, a = a, or a = b results (where a and b are different numbers).
b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the
distributive property and collecting like terms.
Geometry 8.G
Understand and apply the Pythagorean Theorem.
6. Explain a proof of the Pythagorean Theorem and its converse.
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. Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.