Download Math, 1st 9 weeks

2016.17, Eighth Grade Mathematics, Quarter 1
The following practice standards will be used throughout the quarter:
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Ongoing Standards
Note to Teachers: The following ongoing and fluency standards will be practiced all year long and embedded into your instruction instead of
being taught in isolation.
8.WCE.M.1 Solve multi-step linear equations in one variable involving rational number coefficients and requiring the use of the distributive property
fluently.
8.WCE.M.2 I can move flexibly between fractions, decimals and percents.
8.WCE.M.3 I can order and compare all rational numbers on a number line.
8.WCE.M.4 I can perform all operations with integers.
8.WCE.M.5 Solve real world problems with rational and irrational numbers using multiple operations.
*Unless otherwise noted, all resources are from the Glencoe Mc-Graw Hill Course 3, 2015 Edition.
Standards
Student Friendly “I Can” Statements
Unit 1- The Number System
8.NS.1 Know that numbers that are not rational are called irrational. Understand I can identify real numbers as either rational or irrational and
informally that every number has a decimal expansion; for rational numbers
explain the difference between them.
show that the decimal expansion repeats eventually, and convert a decimal
expansion which repeats eventually into a rational number.
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I can write decimal expansions for all numbers and identify
rational numbers as those that either repeat or terminate.
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 (e.g., 𝜋2).
For example, by truncating the decimal expansion of √2 (square root of 2), show
that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to
continue on to get better approximations.
I can convert a repeating decimal into a fraction.
I can use rational approximations of irrational numbers to
compare the size of irrational numbers.
I can use estimation to find approximations of square and cube
roots.
I can order and compare rational and irrational numbers and
locate them on the number line.
8.WCE.M.6 Approximate square and cube roots without a calculator.
I can approximate both square and cube roots without a
calculator.
8.EE.1 Know and apply the properties of integer exponents to generate
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equivalent numerical expressions. For example, 32 × 3−5 = 3−3 = 3 = 1/27.
I can apply properties of integer exponents to generate
equivalent numerical expressions.
8.WCE.M.7 Apply properties of exponents to include variable expressions. For
example, (2m3) (3m4).
I can multiply and divide variable expressions with exponents to
generate equivalent expressions.
8.EE.2 Use square root and cube root symbols to represent solutions to
equations of the form 𝑥 2 = 𝑝 and 𝑥 3 = 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.
I can evaluate square roots (principal and negative) of small
perfect squares and cube roots of small perfect cubes.
I can use square root and cube root symbols to represent
solutions to equations in equations of the form 𝑥 2 = 𝑝 and
𝑥 3 = 𝑝.
(3 )
I can identify the √2 as an irrational number.
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8.WCE.M.8 Know the most common perfect squares and cubes.
I have memorized the most common perfect squares and cubes,
simplifying them without a calculator.
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 × 108 and the population of the world as 7 × 109, and
determine that the world population is more than 20 times larger.
I can use scientific notation to estimate very large or very small
quantities.
I can solve real-world problems requiring scientific notation.
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.
I can perform all operations with numbers expressed in scientific
notation.
I can use scientific notation and choose units of appropriate size
for measurements of very large or very small quantities.
I can interpret scientific notation as generated using various
calculators or other technology.
8.WCE.M.9 Use scientific notation to solve problems in science and real world
scenarios including rate (d = rt) and density problems.
I can use scientific notation to represent and solve problems in
scientific applications.
Unit 2 Expressions and Equations
8.EE.7 Solve linear equations in one variable.
I can solve multi-step linear equations in one variable involving
– a. Give examples of linear equations in one variable with one solution,
rational number coefficients.
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 I can give an example of a linear equation in one variable with
equivalent equation of the form x = a, a = a, or a = b results (where a and b are
one solution, infinitely many solutions or no solutions.
different numbers).
– b. Solve linear equations with rational number coefficients, including equations I can use the distributive property and the collection of like
whose solutions require expanding expressions using the distributive property
terms to simplify and solve multi-step equations.
and collecting like terms
I can solve equations with variables on both sides.
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