Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.
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|
Students are successful when they can.
- compare algebraic solutions to arithmetic solutions
- construct and solve two step linear equations from real-world problems
- explain the steps used in solving the equation
- identify the sequence of operations used to solve a problem
- construct and solve two step linear inequalities from real-world problems
- explain how the solution set relates to the problem
- explain when and why it is necessary to change an inequality symbol
- explain when/ why an open or closed dot is used on a number line
- graph the solution set of two step linear inequalities from real-world problems
- interpret and describe the solution in the context of the problem
- write a linear inequality from a given graph
- solve a linear equation with one solution, no solution, and infinitely many solutions.
- explain that when an equation has one solution, no solution, and infinitely many solutions.
- simplify equations using distributive property, combining like terms, and inverse operations.
- solve multi-step linear equations with rational number coefficients.
Monday (3rd Period) / Tuesday (5th Period)
- Review Two Step Equations Notes Worksheets (due Tuesday 10/20/20)
- Finish Two Step Equations Maze Worksheet (due Tuesday 10/20/20)
- Finish Writing Equations Riddle Worksheet (due Tuesday 10/20/20)
- View on Nearpod http://join.nearpod.com
- Code: Y4S2N
- Or print out worksheet, here: Writing Equations Riddle
- Finish Inequality IXLs (due Tuesday 10/20/20) http://www.ixl.com
- T.5, T.1, T.4, T.7
- Finish missing Edgenuity quizzes (due Tuesday 10/20/20) http://learn.edgenuity.com/student
- Graphing Inequalities
- Solving Two Step Inequalites
Wednesday (3rd & 5th Periods)
- i-Ready Teacher Assigned Lessons (due next Wednesday 10/28/20)
- Solving Linear Equations
- Solving Linear Equations with Rational Coefficients
Thursday (3rd Period) / Friday (5th Period)
- Instructions (MAFS.8.EE.3.7)
- Combining Like Terms to Solve Equations
- View on Nearpod (Code: YK8GN ) http://join.nearpod.com/student
- or print out worksheets, here: 3108-05-03-CombineLikeTerms-GN-TE
- Solving with the Distributive Property
- View on Nearpod (Code: FYGQ5) http://join.nearpod.com/student
- or print out worksheets, here: 3108-05-04-DistributiveProperty-GN-TE
- Solving Multi-Step Equations with Variables on Both Sides
- View on Nearpod (Code: PAYDZ) http://join.nearpod.com/student
- or print out worksheets, here: 3108-05-09-MultistepVarBothSides-GN-TE
- Analyzing Solutions
- View on Nearpod (Code: BLU2F) http://join.nearpod.com/student
- or print out worksheets, here: 3108-05-12-AnalyzSolutions-GN-TE
- If finished with all assignments due this week, jump ahead to IXLs due next week (see Assignments Due section for assignments due next week).
- Or play Prodigy
- Edgenuity – Writing Inequalities -Quiz
- Edgenuity – Graphing Inequalities – Quiz
- Edgenuity – Solving Two Step Inequalities – Quiz
- Nearpod or Worksheet – Solving Two Step Equations Notes & Maze
- Nearpod or Worksheet – Writing Inequalities Riddle
- IXL T.1 Solutions to inequalities
- IXL T.2 Graph inequalities on number lines
- IXL T.3 Write inequalities from number lines
- IXL T.4 Solve one-step inequalities
- IXL T.5 Graph solutions to one-step inequalities
- IXL T.7 Solve two-step inequalities
due next week
- i-Ready – Solving Linear Equations Quiz
- i-Ready – Solving Linear Equations with Rational Coefficients Quiz
- IXL 8th Grade – W.8 Solve two-step equations
- IXL 8th Grade – W.9 Solve multi-step equations
- IXL 8th Grade – W.10 Solve equations involving like terms
- IXL 8th Grade – W.11 Solve equations with variables on both sides
- IXL 8th Grade – W.12 Solve equations: mixed review
- IXL 8th Grade – W.13 Solve equations: complete the solution
- IXL 8th Grade – W.15 Find the number of solutions
- IXL 8th Grade – W.16 Create equations with no solutions or infinitely many solutions
All IEP accommodations will be provided each class.