Create equations that describe numbers or relationships.
Create equations and inequalities in one variable and use them to solve problems.
Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
| Content | Skills | Learning Targets | Big Ideas | Essential Questions |
|---|---|---|---|---|
|
Equations
Inequalities
|
6 - Create (equations in one variable)
6 - Create (inequalities in one variable)
2 - Solve (equations in one variable)
2 - Solve (inequalities in one variable)
|
6 - I can create equations in one variable.
6 - I can create inequalities in one variable.
2 - I can solve equations in one variable.
2 - I can solve inequalities in one variable.
|
A. Equations and inequalities can represent real world problems.
|
A.1. How are equations used in problem solving?
A. 2 How can equations be created to solve problems?
A. 3 How are inequalities used in problem solving?
A. 4 How can inequalities be created to solve problems?
|
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
| Content | Skills | Learning Targets | Big Ideas | Essential Questions |
|---|---|---|---|---|
|
6 - Create (equations in two or more variables)
6 - Represent (relationships between quantities)
3 - Graph (equations on coordinate axes)
|
6 - I can create equations in two or more variables.
6 - I can represent relationships between two or more variables.
3 - I can graph equations on coordinate axes using labels and scales.
|
A. Relationships among two or more variables can be represented by equations.
B. Equations can be graphed on the coordinate axes using appropriate labels and scales.
|
A.1 How can equations be created to represent relationshps among two or more variables?
B. 1 How can equations be graphed on coordinates axes?
B. 2 How are appropriate labels and scales used in graphing on coordinate axes?
|
Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non- viable options in a modeling context.
For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.
| Content | Skills | Learning Targets | Big Ideas | Essential Questions |
|---|---|---|---|---|
|
3 - Represent (constraints by equations or systems of equations/inequalities)
3 - Represent (constraints by inequalities or systems of equations/inequalities)
2 - Interpret (solutions as viable/nonviable options)
|
3 - I can represent constraints by equations or systems of equations/inequalities.
3 - I can represent constraints by inequalities or systems of equations/inequalities.
2 - I can interpret solutions as viable/nonviable options.
|
A. The constraints of a problem can be represented by equations or inequalities, and by systems of equations and/or inequalities.
B. Determining the reasonableness of a solution is easier if one looks at the constraints of the problem.
|
A.1 How can the constraints of a problem be identified?
A. 2 How can equations, inequalities, and systems of equations and/or inequalities be used to model the constraints in a problem?
A. 3 How do I determine if a solution to a problem with constraints is reasonable?
|
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
For example, rearrange Ohm’s law V = IR to highlight resistance R.
| Content | Skills | Learning Targets | Big Ideas | Essential Questions |
|---|---|---|---|---|
|
2 - Rearrange (formulas)
3 - Use (equation-solving reasoning)
|
3 - I can rearrange formulas to highlight a quantity using equation-solving reasoning.
|
A. Being able to manipulate a formula to highlight a quantity is useful in problem solving, and uses the same reasoning as solving equations.
|
A.1 How is equation solving reasoning used to highlight a quantity in a formula?
A. 2 When would I use a rearranged formula or equation?
|
Be the first to comment below.
Please enter a Registration Key to continue.