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| Eight Grade - Show that a linear equation in one variable has one solution, infinitely many solutions, or no solution by transforming the equation into simpler forms.
- Solve multi-step equations.
- Understand that the solution of a system of two linear equations in two variables corresponds to the point of intersection of their graphs.
- Solve systems of two linear equations in two variables graphically and algebraically.
- Solve real-world mathematical problems leading to systems of two linear equations in two variables
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| 8.EE.C. Analyze and solve linear equations and pairs of simultaneous linear equations. 8.EE.C.7. Solve linear equations in one variable. 8.EE.C.7a. 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). 8.EE.C.7b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. 8.EE.C.8. Analyze and solve pairs of simultaneous linear equations. 8.EE.C.8a. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. 8.EE.C.8b. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6. 8.EE.C.8c. Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair. © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. | Students will have opportunities to: - SMP1 - Make sense of problems and persevere in solving them
- SMP2 - Reason abstractly and quantitatively
- SMP3 - Construct viable arguments and critique the reasoning of others
- SMP4 - Model with Mathematics
- SMP5 - Use appropriate tools strategically
- SMP6 - Attend to precision
- SMP7 - Look for and make use of structure
- SMP8 - Look for and express regularity in reasoning
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| Seventh Grade - Write, graph, and solve one-step equations.
- Solve two-step equations.
- Construct simple equations.
| Ninth Grade - Show that a linear equation in one variable has one solution, infinitely many solutions, or no solution by transforming the equation into simpler forms.
- Solve systems of two linear or non-linear equations in two variables graphically and algebraically.
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| Teacher Edition Vocabulary: system of linear equations, solution of a system of linear equations, point of intersection, substitution, elimination, parallel lines, no solution, infinitely many solutions, unique solutions Other Vocabulary: extra point, field goal, liquid nitrogen, volume
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| The following lesson plan sequence is obtained from Big Ideas Learning (2015). Each lesson is aligned with a learning objective to inform the teachers on what students should be able to do at the end of the lesson. The student objective informs the students of their learning goals for the day and it should be reviewed before, during and at the end of the lesson. Each lesson includes a mathematics task that should be implemented to meet the learning objectives. Teachers can select from the practice opportunities to reinforce the learning goals of the day. |
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| The use of sentence stems as a language support are beneficial to all students, including English Language Learners. The use of sentence stems encourages the learning of mathematics in a language rich environment which has an impact on other learning as well. The sentence stems are a beginning place for supporting students' use of academic language and encourage discussion and writing as students learn content. |
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