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|Subject Area||Intensive Math|
|Unit of Instruction||Focus 1: Rational and Irrational Numbers; Focus 2: Solving Multi-Step Equations|
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.
Solve linear equations in one variable.
- 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).
- 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 know I am successful when I can:
- 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.
- relate perfect squares and perfect cubes to geometric squares and cubes using square tiles and square cubes.
- explain the differences between one solution, no solution, and infinitely many.
- solve a linear equation with one solution, no solution, and infinitely many.
- simplify equations using distributive property, combining like terms, and inverse operations.
- solve multi-step linear equations with rational number coefficients.
- Square roots and cube roots may be used to represent solutions to equations.
- Radicands may not include variables.
- Numbers in items will be rational numbers.
- Trash-ketball Game – Solving one-step equations in teams of 2-3 people. Each team is given five (5) one-step equations to solve. For each correctly solved equation, each team gets to shoot a basket. The team with most points at the end of the game wins. We will play five (5) rounds.
- kahoot! – Exponents
- kahoot! – Perfect squares and cubes
Wednesday (Short Class – Early Release Period)
- Start two-step equations.
- Worksheet – Solving two-step equations
- Worksheet – Solving two-step equations placemat
- Worksheet – Solving two-step equations maze
All worksheets will be graded.
All accommodations per each individual IEP will be provided each class.