GRADE LEVEL CONTENT AREA Essentials Guide semester 1 Theme: linear functions Essential Question: What are linear functions and how do they relate to real life?

A.SSE.1 Interpret expressions that represent a quantity in terms of its context.

algebraic expression,
base, counterexample,
deductive reasoning,
equivalent expressions,
evaluate, integers,
irrational numbers,
order of operations, real number,
set, simplify, variable

1a

Use patterns,
graphs, tables to solve equations

A.SSE.1 Interpret expressions that represent a quantity in terms of context.
a. Interpret parts of an expression, such as terms, factors and coefficents

absolute value, additive inverses, coefficent,constant, distributive property, equation, open sentence,
solution of an equation, like terms, multiplicative inverse,opposites,reciprocal term

1b

modeling

solve linear equations. use formulas

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.
A.REI.1 Explain each step in solving a simple equationas 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 justifu a solution method.

N.Q.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistantly in formulas; choose and interpret the scale and the oritin in graphs and data displays.
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.

A.CED.3 Represent constraints by equations or inequalites, 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.

equivalent inequalities,
solution of an inequality

3a

solve equations

F.IF.1 understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain esactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
F.IF.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

domain, function, function notation, linear function, nonlinear function, range,

4

use tables, equations and graphs to describe relationships

A.CED.2 Create equations in two or more variables to represent relationships between quantities, graph equations on coordinate axes with labels and scales

Theme: linear functions

Essential Question: What are linear functions and how do they relate to real life?

Skills and ContentStandardsKey VocabularyResourcesAssessmentsEssentials21st Century SkillsImportant to Know and Doand relationships

base, counterexample,

deductive reasoning,

equivalent expressions,

evaluate, integers,

irrational numbers,

order of operations, real number,

set, simplify, variable

graphs, tables to solve equations

a. Interpret parts of an expression, such as terms, factors and coefficents

solution of an equation, like terms, multiplicative inverse,opposites,reciprocal term

A.REI.1 Explain each step in solving a simple equationas 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 justifu a solution method.

inverse operations, literal equations

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.

solution of an inequality

fis a function andxis an element of its domain, thenf(x)denotes the output offcorresponding to the inputx.The graph offis the graph of the equationy = f(x).F.IF.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.