patterns that are increasing 2.PRF.2c3 Identify the rule of arithmetic patterns that are decreasing Expressions and Equations 6.PRF.2a2 Use variables to represent numbers and write expressions when solving real-world problems 7.PRF.2a5 Use variables to represent two quantities in a real-world problem that change in relationship to one another H.PRF.2a1 Translate an algebraic expression into a word problem 6.PRF.2a3 Use variables to represent two quantities in a problem that change in relationship to one another 7.PRF.2d1 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 H.PRF.2b1 Translate a problem into a one variable equation 6.PRF.2a4 Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation H.PRF.2b2 Solve equations with one or two variables using equations or graphs 6.PRF.2b3 Complete a statement that describes the
A SSE Interpret the structure of expressions. Interpret parts of an expression, such as terms, factors, and coefficients. Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)n as the product of P and a factor not depending on P. Progress Indicator: H.PRF.2b creating equations and inequalities (in one or two variables) and use them to solve problems and graph solutions Core Content Connectors: 9-12 CCSS Domain/Cluster Common Core Standard H.PRF.2b1 Translate a real-world problem into a one variable equation Creating Equations A CED Create equations that describe numbers or relationships. A.CED.1 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. H.PRF.2b2 Solve equations with one or two variables using equations or graphs Reasoning with Equations and Inequalities A REI Understand solving equations as a process of reasoning and explain the reasoning. A REI Solve equations and inequalities in one variable. Creating Equations A CED Create equations that describe numbers and relationships. A.REI.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. Progress Indicator: H.PRF. 2c using trends that follow a pattern and are described mathematically to make generalizations or predictions Core Content Connectors: 9-12 CCSS Domain/Cluster Common Core Standard H.PRF. 2c1 Make predictions based on a given model (for example, a weather model, data for athletes over years) Linear, Quadratic, and Exponential Models F LE Construct and compare linear, quadratic, and exponential models and solve problems. F.LE.3 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. Explanations and clarifications: