Eureka Math Algebra I Study Guide

(Marvins-Underground-K-12) #1
CoUrSe ModUle SUMMary and UnpaCkIng of StandardS | 85

Work with radicals and integer exponents.


8.EE.A.1 Know and apply the properties of integer exponents to generate equivalent
numerical expressions. For example, 325 ́= 33 --^33 == 13 // 127.


Reason quantitatively and use units to solve problems.


N-Q.A.2^31 Define appropriate quantities for the purpose of descriptive modeling.★


N-Q.A.3 Choose a level of accuracy appropriate to limitations on measurement when
reporting quantities.★


Create equations that describe numbers or relationships.


A-CED.A.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as
in solving equations. For example, rearrange Ohm’s law VI= R to highlight resistance R.★


Understand solving equations as a process of reasoning and explain the reasoning.


A-REI.A.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.


Solve equations and inequalities in one variable.


A-REI.B.3 Solve linear equations and inequalities in one variable, including equations with
coefficients represented by letters.


Represent and solve equations and inequalities graphically.


A-REI.D.10 Understand that the graph of an equation in two variables is the set of all its
solutions plotted in the coordinate plane, often forming a curve (which could be a line).


Understand the concept of a function and use function notation.


F-IF.A.1 Understand that a function from one set (called the domain) to another set (called
the range) assigns to each element of the domain exactly 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 yf= ()x.


F-IF.A.2 Use function notation, evaluate functions for inputs in their domains, and interpret
statements that use function notation in terms of a context.


Build a function that models a relationship between two quantities.


F-BF.A.1^32 Write a function that describes a relationship between two quantities.★


a. Determine an explicit expression, a recursive process, or steps for calculation from a
context.

Focus standaRds FoR MatheMatical pRactice


MP.1 Make sense of problems and persevere in solving them. Mathematically proficient
students start by explaining to themselves the meaning of a problem and looking for entry
points to its solution. They analyze givens, constraints, relationships, and goals. In Module 4,

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