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| Sixth Grade
- Determine if a value is a solution
- Solve one-step equations
- Represent constraints with inequalities and recognize they can have infinitely many solutions
- Solve one-step inequalities
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| Ratios & Proportional Relationships 6.RP.A. Understand ratio concepts and use ratio reasoning to solve problems. 6.RP.A.3a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. 6.EE.B. Reason about and solve one-variable equations and inequalities. 6.EE.B.5. Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true. 6.EE.B.6. Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set. 6.EE.B.7. Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers. 6.EE.B.8. Write an inequality of the form x > c or x c or x 6.EE.C. Represent and analyze quantitative relationships between dependent and independent variables. 6.EE.C.9. Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time. © 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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| Fourth Grade - Use and interpret simple equations
Fifth Grade - Generate numerical patterns, identify the relationship, and form ordered pairs
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| Seventh Grade - Understand that rewriting expressions in different forms can show how the quantities are related
- Write, graph, and solve one-step equations
- Solve two-step equations
- Compare algebraic solutions to arithmetic solutions
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| Teacher Edition: Equation, Expression Solution, Inverse Operations, Equation in Two Variables, Solution of an Equation in Two Variables, Independent Variable, Dependent Variable, Inequality, Solution of an Inequality, Solution Set, Graph of an Inequality, Symbols of Inequality, Graph of an Inequality Other Vocabulary: Djembe Drum, Claves, Maracas, Festival, Balanced, Quantity, Character, Milligrams, Sodium, Triathlon, Maximum, Clearance rack, Bus pass, One-way rides, Average
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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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