Q1, W5: September 10th – 14th

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TeacherFelicia Taylor
Subject AreaIntensive Math
Grade Level8
Week #5
Unit of InstructionFocus 1: Rational and Irrational Numbers; Focus 2: Solving Multi-step Equations
Standard(s) Taught


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.


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.


Use square root and cube root symbols to represent solutions to equations.  Evaluate square roots of small perfect squares and cube roots of small perfect cubes.


Solve linear equations in one variable.

  1. 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).
  2. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
Learning Targets and Learning Criteria

I can…

  • convert a rational number into a decimal.
  • classify a number as a rational or irrational number based on whether the decimal form is repeating, terminating, or does not repeat or terminate.
  • convert a repeating and terminating decimal into a rational number (fraction).
  • estimate the value of an irrational number by rounding to a specific place value.
  • compare the size of two irrational numbers by using a number line.
  • use reasoning to determine between two consecutive whole numbers a square root will fall on a number line.
  • recognize perfect squares and non-perfect squares and numbers that are perfect cubes.
  • recognize taking a square root of a number as the inverse of squaring that number and taking a cube root of a number as the inverse of cubing that number.
  • evaluate the square root of a perfect square and the cube root of a perfect cube.
  • justify that the square root of a non-perfect square will be irrational and that the cube root of a non-perfect cube will be irrational.
  • simplify equations using distributive property, combining like terms, and inverse operations.
  • solve a linear equation with one solution.
Classroom Activities


Help students study for upcoming test in Mrs. Pujol’s Pre-Algebra class.

  1. MathSpace – Review for Test.
  2. Complete missing assignments in preparation of midterm grades due on Wednesday.


www.math-play.com  Played a Jeopardy game for Comparing Fractions.


Start one-step equations.

  1. www.math-play.com – Play game solving one-step equations.
  2. IXL
    1. 7-S.5 – Solve one-step equations
Assignments Due

No new grades this week.  Missing assignments will be graded.

Additional Resources

All accommodations per each individual IEP will be provided each class.