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?
Skills and Content
Standards
Key Vocabulary
Resources
Assessments





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Essentials
21st Century Skills
Important to Know and Do





represent quantities, patterns,
and relationships
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.
equivalent equations, formula,
inverse operations, literal equations
2a


interpret
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.
conversion factor, cross products, percent change, proportion, rate, ratio, scale, unit analysis
2b

representing
graph and solve linear inequalities
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
continuous graph, dependent variable, discrete graph, independent variable, relation, sequence
4