Algebra i SBG Skills List 2017-2018

Yesterday, I had the best intentions of compiling a my finish for this year is to hit myself grace.

As a result, I'm non going to crusade to choose deal of upward today together with write a Mon Must Reads postal service on a Tuesday. I'll simply buy the farm along collecting non bad spider web log posts together with tweets for adjacent Monday. :)

Here's a sneak peek at my favorite wall thence far. Still convey to a greater extent than posters to hang, though!

My husband blogged his newly updated SBG science lists for Geometry together with Algebra 2 today, thence I idea I would produce the same for Algebra 1. This volition locomote my 6th twelvemonth instruction Algebra 1. It's our mo twelvemonth using the Oklahoma Academic Standards which were written afterward Oklahoma adopted together with thence rejected Common Core.

After my kickoff twelvemonth of instruction to the novel standards, I've figured out what worked together with what utterly failed. With those things inwards mind, I introduce y'all my novel listing of Algebra 1 SBG skills:

UNIT 1 - Expressions

· I tin flaming notice the absolute value, opposite, reciprocal, together with contrary reciprocal of a number.

· I tin flaming work the companionship of operations to simplify expressions.

· I tin flaming evaluate expressions. (A.3.4)

o Include Radicals

o Include Absolute Value Bars

o Include Fractions

· I tin flaming evaluate expressions involving non-standard operations. (A.3.4)

· I tin flaming rewrite expressions yesteryear combining similar terms. (A.3.2)

· I tin flaming rewrite expressions yesteryear applying the distributive property. (A.3.2)

· I tin flaming interpret betwixt words together with algebraic expressions, equations, together with inequalities. (A.1.1, A.2.1)

UNIT ii - Solving Equations together with Inequalities

· I tin flaming solve equations together with inequalities amongst variables on i side of the equal sign. (A.1.1)

· I tin flaming solve equations together with inequalities amongst variables on both sides of the equal sign. (A.1.1)

· I tin flaming solve together with graph chemical compound inequalities on a publish line. (A.2.2)

· I tin flaming solve absolute value equations. (A.1.2)

· I tin flaming solve absolute value inequalities. (A.2.2)

· I tin flaming solve an equation amongst many variables for i variable inwards damage of the others. (A.3.1)

UNIT iii - Relations together with Functions

· I tin flaming generate equivalent representations of a relation together with create upward one's heed if the relation is a business office or not. (F.1.1)

· I tin flaming position the independent together with subject variables inwards a situation. (F.1.2)

· I tin flaming notice the domain together with hit of a function. (F.1.2)

· I tin flaming position domain together with hit restrictions inwards real-life situations. (F.1.2)

· I tin flaming read together with interpret the graph of a real-life situation. (F.1.4)

o Piecewise linear graphs – non mensuration functions!

o Identify Independent together with Dependent Variables

o Identify Domain together with Range

o Identify Rate of Change

· I tin flaming create a graph to depict a story together with create a story to depict a graph. (A.4.4)

· I tin flaming evaluate functions together with interpret the results inwards real-life contexts. (F.3.2)

· I tin flaming write a business office (using business office notation) to model a real-world province of affairs together with work the business office to answer questions. (F.1.3)

· I tin flaming create upward one's heed if a business office is linear or non-linear (quadratic, exponential or absolute value). (F.2.1, F.2.2)

o Emphasize Graphing yesteryear Making Input-Output Tables!

UNIT four - Linear Graphs together with Inequalities

· I tin flaming calculate together with interpret slopes together with intercepts of a linear function. (A.4.1)

· I tin flaming assort equations every bit parallel, perpendicular, or neither. (A.4.2)

· I tin flaming write an equation (in slope-intercept, point-slope, together with criterion form) together with work the equation to solve problems. (A.4.3)

· I tin flaming position together with generate equivalent representations of linear equations, graphs, tables, together with real-world situations. (F.3.1)

· I tin flaming predict how a linear graph volition locomote transformed when the equation is changed. (F.2.2)

· I tin flaming create scatterplots, create upward one's heed regression together with correlation, together with work these to brand predictions together with assess the reliability of predictions. (D.1.2)

· I tin flaming graph a linear inequality together with interpret the solution. (A.2.1)

· I tin flaming write a linear inequality together with work the inequality to solve problems. (A.2.1)

UNIT five - Absolute Value Graphs together with Inequalities

· I tin flaming notice the slope, vertex, together with orientation of an absolute value relation.

· I tin flaming write the equation or inequality for an absolute value relation.

· I tin flaming predict how the graph of an absolute value graph or inequality volition locomote transformed when the equation or inequality is changed. (F.2.2)

UNIT 6 - Systems of Equations together with Inequalities

(With each skill, convey students create upward one's heed how many solutions the organization has!)

· I tin flaming solve systems of equations graphically together with interpret the solution. (A.1.3)

· I tin flaming solve systems of equations using the commutation method. (A.1.3)

· I tin flaming solve systems of equations using the elimination method. (A.1.3)

· I tin flaming solve systems of inequalities together with graph together with interpret the solution on a coordinate plane. (A.2.3)

UNIT vii - Polynomials

· I tin flaming mention polynomials according to their score together with publish of terms.

· I tin flaming write polynomials inwards criterion form.

· I tin flaming add together together with subtract polynomials (including when written inwards business office notation). (A.3.2, F.3.3)

· I tin flaming multiply polynomials (including when written inwards business office notation). (A.3.2, F.3.3)

· I tin flaming element out the GCF of a polynomial. (A.3.3)

· I tin flaming fully element a polynomial. (A.3.3)

UNIT 8 - Radicals

· I tin flaming simplify radical expressions. (N.1.1)

· I tin flaming add together together with subtract radical expressions. (N.1.2)

· I tin flaming multiply radical expressions. (N.1.2)

· I tin flaming dissever radical expressions, rationalizing the denominator when necessary. (N.1.2)

UNIT nine - Sequences

· I tin flaming assort a sequence every bit arithmetic, geometric, fibonacci, or neither together with notice the adjacent term inwards the sequence.

· I tin flaming recognize that arithmetics sequences are linear together with write a formula to notice whatever term inwards the sequence. (A.3.5)

· I tin flaming recognize that geometric sequences are exponential together with write a formula to notice whatever term inwards the sequence. (A.3.6)

UNIT 10 - Data Analysis

· I tin flaming notice the mean, median, mode, together with hit of a ready of data.

· I tin flaming create upward one's heed if a ready of information is discrete or continuous. (D.1.3)

· I tin flaming create a information display for a ready of information together with work it to depict the information set. (D.1.1)

· I tin flaming interpret a information display.

· I tin flaming compare information sets using summary statistics. (D.1.1)

UNIT eleven - Probability

· I tin flaming create upward one's heed the size of a sample infinite together with work it to calculate probabilities. (D.2.1)

o Tree Diagrams

o Counting Procedures (Multiplication together with Addition Principles)

· I tin flaming calculate experimental probabilities yesteryear performing experiments or simulations. (D.2.3)

· I tin flaming notice complements, intersections, together with unions using Venn Diagrams. (D.2.2)

· I tin flaming work Venn Diagrams to notice the probability of an trial (D.2.2).

· I tin flaming employ probability concepts to real-world situations to brand informed decisions (D.2.4).

The bold skills are non explicitly required yesteryear the standards, but I experience that they are necessary for students to master. I know sure these won't locomote perfect either, but I'll await until adjacent summertime to learn dorsum to the drawing board. I dearest that every twelvemonth I learn a adventure to locomote a chip of a amend instructor than the twelvemonth before. I'm ever improving, together with I'm thankful for each i of y'all reading this post. You are helping me on this journeying to locomote the best instructor possible.