Kathleen Hunt / Accelerated Algebra Learning Targets

Unit 1: Thinking with Mathematical Models - Linear Equations and Inverse Variation

I can calculate slope, x-intercept and y-intercept from graphs, tables and equations.

https://youtu.be/LNSB0N6esPU – Identifying intercepts

https://youtu.be/xiIQQNufFuU – Finding x-intercept

https://youtu.be/xGmef7lFc5w – Finding intercepts from an equation

https://youtu.be/EQoNfxToez0 – Intro to slope

https://youtu.be/R948Tsyq4vA – Finding slope from graph

https://youtu.be/WkspBxrzuZo – Slope from two points, example 1

https://youtu.be/CFSHq099Mx0 – Slope from two points, example 2

I can write and solve equations given a problem situation.

I can solve and check multi-step equations including problems with the distributive property.

https://youtu.be/_y_Q3_B2Vh8 – 2 step equations

https://youtu.be/1c5HY3z4k8M – Variables on both sides

https://youtu.be/xMsG9hvqzbY – More advanced distributive property

https://youtu.be/a5uNoOnEy_A – Beginning distributive property

https://youtu.be/YZBStgZGyDY – Distributive property with a minus sign in front of parentheses

Given a graph or a table, I can write the equation for a line.

https://youtu.be/9wOalujeZf4 – Slope-intercept form from a graph

https://youtu.be/3Ayt7mOd_To – Slope-intercept form from a table

I can solve an equation with two variables for one variable.

https://youtu.be/Aig1hkq3OsU

https://youtu.be/SPZsJN_Wsdc – Converting to slope-intercept form

I can graph an equation from slope-intercept form or by using intercepts

https://youtu.be/uk7gS3cZVp4 – Graphing using slope-intercept form

I can identify domain/range or input/output given a graph, table or equation.

https://youtu.be/g3LrOw1JMi8 – Domain and range from a table

I can recognize, describe and extend linear functions in a data set.

I can determine the best linear fit for data by looking at residuals and write the equation for the line.

I can recognize, describe, and extend non-linear patterns in data.

I can recognize, graph, and write the equation for inverse variation functions.

I can recognize direct variation equations, graphs and data sets.

I can estimate (and justify that estimate!) a correlation coefficient for a set of data and recognize outliers.

I can validate or disprove statements about data using statistics (mean, median, mode, percents, ratios, etc)

I can read graphs and tables and use standard deviation, outliers, clusters and spread to describe the data.

Unit 2:  Looking for Pythagoras - Pythagorean Theorem

I can find the length of one side of a square, given the area.

I know the squares (square roots) through 15 (225)

I can estimate square roots to the hundredths place.

I can simplify radicals.

I can find and simplify cube roots

Given the values of two sides of a right triangle, I can use the Pythagorean theorem to find a missing side value.

I can find the area of compound shapes by using triangles and rectangles.

https://youtu.be/loAA3TCNAvU – Area of compound shapes

https://youtu.be/ukPjc3Oyad4 – Area of a triangle on a grid

https://goo.gl/MQB8cv – Practice on Khan Academy of triangle on grid

https://youtu.be/gkifo46–JA – Area of quadrilateral on a grid

I know the squares of integers up to 15 and square roots of integers up to 225.

https://youtu.be/ROIfbUQrSY4

I can write radicals in simplest form.

https://youtu.be/6QJtWfIiyZo – Square roots: Part 1

https://youtu.be/cw3mp8oNASk – Square roots: Part 2

https://youtu.be/8y7xP4zz0UY – Cube roots

https://youtu.be/DKh16Th8x6o – Cube root, negative number example 1

https://youtu.be/drhoIgAhlQM – Cube root, negative number example 2

I can estimate the square root of integers to the hundredths place and cube roots to the tenths place.

https://youtu.be/EFVrAk61xjE

I can find the area and perimeter of polygons such as triangles, rectangles, trapezoids, parallelograms

https://youtu.be/YOYQys52sPs – Triangles

https://youtu.be/tFhBAeZVTMw – Parallelograms

https://youtu.be/j3-XYLnxJDY – Trapezoid

https://youtu.be/MamrTJ7V_Vg – Area by rearranging parts

https://youtu.be/loAA3TCNAvU – Area by breaking up shapes

https://youtu.be/gkifo46–JA – Area of quadrilateral on grid

I can determine the length of a segment by constructing a square.

I can order rational and irrational numbers on a number line.

I can find the surface area and volume of 3D shapes include cones, rectangular prisms, triangular prisms, and pyramids with and without nets.

https://youtu.be/EJTPGyWqhqc – Volume of rectangular prism with fractional sides

https://youtu.be/ZqzAOZ9pP9Q – Volume of a triangular prism

https://youtu.be/gL3HxBQyeg0 – Volume and surface area of a cylinder

https://youtu.be/hC6zx9WAiC4 – Volume of a cone

https://youtu.be/ZACf9EecFrY – Review of nets

https://youtu.be/1iSBNSYhvIU – Surface area of a rectangular prism

https://youtu.be/m1ZTnl4CNQg – Finding surface area using nets

https://youtu.be/mtMNvnm71Z0 – Surface area of triangular prism

I can determine if a triangle can be constructed given side lengths.

https://youtu.be/E78ji1uBtSA – Can a triangle be made?

https://youtu.be/KlKYvbigBqs – Triangle inequality theorem

I can solve for any missing side of a right triangle using the Pythagorean Theorem.

https://youtu.be/AA6RfgP-AHU – Introduction with simple problem

https://youtu.be/AEIzy1kNRqo – Introduction but with some harder problems (skip past intro if you want)

https://youtu.be/O64YFlX1_aI – Solving for a leg

I can derive the distance formula between two points using the Pythagorean Theorem.

https://youtu.be/nyZuite17Pc – Derivation and Example. Ignore his calculator use, you don’t need that

I can find the distance between any two points using the distance formula.

https://youtu.be/nyZuite17Pc (same video as derivation)

I can determine if a given decimal is rational or irrational

https://youtu.be/d9pO2z2qvXU – be careful with one thing he says. Sometimes if you multiply an irrational, like sqrt(2)*sqrt(2), you can get a rational

https://goo.gl/GoWP9w and https://goo.gl/O22ICr – bunch of videos about irrationals, rationals, and their properties, includes proofs of those properties.

I can create a rational number from a repeating, non-terminating decimal or from a terminating decimal.

https://youtu.be/FPNhCVZlbJs -1 digit repeating

https://youtu.be/Ihws0d-WLzU – multiple digits repeating, better video to watch

Unit 3: Growing, Growing, Growing - Exponential Functions

I can simplify expressions with exponents, including negative, 0, and performing operations with exponents (multiply, divide, “exponents to the power of exponents).

Numbers

https://youtu.be/kITJ6qH7jS0 – Part 1

https://youtu.be/rEtuPhl6930 – Part 2

Variables

https://youtu.be/-TpiL4J_yUA– Part 1

https://youtu.be/tvj42WdKlH4 – Part 2

https://youtu.be/Of8ezQj1hRk – Part 3

https://youtu.be/X6zD3SoN3iY – Part 4

Summary of Exponents Laws, With Examples

http://www.themathpage.com/alg/negative-exponents.htm

I can convert between standard and scientific notation for any number.

https://youtu.be/trdbaV4TaAo – Introduction

https://youtu.be/i6lfVUp5RW8 – Examples

https://youtu.be/0Dd-y_apbRw – More examples

https://youtu.be/6phoVfGKKec – Really small number to scientific notation

I can determine if a relationship his a function

https://youtu.be/kvGsIo1TmsM

I can recognize, write, and graph exponential functions

https://youtu.be/8OHEgD6YMBw – Linear vs. Exponential

https://youtu.be/EuwKjpUpkhs – Quadratic vs. Exponential

Given a problem situation involving growth rates (or factors) or decay rates (or factors), I can write an equation, create a data table, and graph the data.

Growth Rate/Factor – http://www.math.kent.edu/~mathweb/ebooks/10024/ch2_1.htm

Decay Rate/Factor – http://www.math.kent.edu/~mathweb/ebooks/10024/ch2_2.htm

Given a set of data, I can identify growth/decay rates and factors, write equations, and graph the data.

http://www.pkwy.k12.mo.us/homepage/snoyes/file/Algebra_1_11-12/Unit%204/Notes%206.3%20day%203.pdf

Unit 4:  Frogs, Fleas and Painted Cubes - Quadratic Functions

I can combine like terms.

https://youtu.be/CLWpkv6ccpA – intro to combining like terms

https://youtu.be/3NHSwiv_pSE – more combining like terms

https://youtu.be/FNnmseBlvaY – combining like terms, more complicated

I can add and subtract polynomials.

https://youtu.be/ahdKdxsTj8E – How to add polynomials

https://youtu.be/ZgFXL6SEUiI – Addition and subtraction examples, with some background on like terms

https://youtu.be/DMyhUb1pZT0 – add/subtract polynomials

https://youtu.be/AqMT_zB9rP8 – add/subtract polynomials with two variables

https://youtu.be/jroamh6SIo0 – more add/subtract

https://youtu.be/ZBDiMLAQU-8 – find the error in a polynomial subtraction problem

I can multiply polynomials and simplify the expression.

https://youtu.be/ssY1dFl7d30 – Multiply monomials (area model)

https://youtu.be/p_61XhXdlxI – Multiply monomials with two variables

https://youtu.be/mzULbezO6iA – Finding missing parts in monomial multiplication (good exercise)

https://youtu.be/oOTFGdjhqqM – Binomial multiplication, area model

https://youtu.be/Xy8NKUoyy98 – Multiplying two binomials

https://youtu.be/bkZYILrmFRU – Monomial and polynomial multiplication as an area model

https://youtu.be/pD2-H15ucNE – How to multiply a monomial and polynomial

https://youtu.be/D6mivA_8L8U – multiply binomial and polynomial

https://youtu.be/xH_GllPuymc – find product of (x+a)^2 form binomial multiplication

https://youtu.be/JfuisfEdnjk – find product of (x+a)(x-a) form binomial multiplication

https://youtu.be/xjkbR7Gjgjs – find product of (ax+b)^2 form binomial multiplication

https://youtu.be/h6HmHjkA034 – find product of (ax+b)(ax-b) form binomial multiplication

https://youtu.be/4fQeHtSdw80 – square of a binomial with two variables

https://youtu.be/bFtjG45-Udk – special binomial products

https://youtu.be/bamcYQDzVTw – multiplying polynomials, story problem

https://youtu.be/J1HAY8E3gms – area of a window, good story problem

I can factor out common factors in polynomials.

https://youtu.be/SjN3_xCJamA – Introduction to factorization

https://youtu.be/mbb3msmX2xs– Factoring a binomial with a common factor

I can factor polynomials completely by factoring out common factors and then by factoring into binomials.

https://youtu.be/iTn3TTF0IXk – Factoring a binomial by taking out the greatest common factor

https://youtu.be/MZl6Mna0leQ – Factoring a trinomial

https://youtu.be/tYknkDjp-bQ – Factoring a polynomial with the area model

I can identify quadratic functions from a set of data. (I can continue to recognize linear, inverse and exponential functions from sets of data.)

Given a quadratic problem situation, a graph, or a set of data I can write the equation.

Given a quadratic equation, I can find the axis of symmetry, the x- and y-intercepts, and vertex and then graph the parabola.

I can identify the transformations that occur to a parabola from the parent function, including shifts up, down, right, left, wider, narrower, and inverted, including combinations of them. (changes to a, c, and h)

Unit 5:  Say It With Symbols - Algebraic Equations and Applications

***For all learning targets, be able to prove that expressions are equal.

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

I can accurately substitute an expression in place of a variable to solve problem situations.

Choose and produce an equivalent form of an expression (including using the distributive property) and justify that they are equivalent.

Create equations and inequalities and use them to solve problems.

Solve equations and inequalities including those with coefficients represented by letters.

https://youtu.be/Aig1hkq3OsU – manipulating equations (basic, perimeter)

https://youtu.be/eTSVTTg_QZ4 – manipulating equations (basic, area)

https://youtu.be/BR5yFOt0zao – manipulating equations (temperature)

I can use the equations for volume of cylinders, cones and spheres (with the same radius) to explain and justify the relationships between the volumes .

https://youtu.be/YNutS8eIhEs – excellent video with very good illustrations, more of a derivation

https://youtu.be/Q6VVYREh5Q8 – comparing volumes, assumes you already know formulas

Understand that a function has one and only one y-value for each x-value.

Know the formulas for volume of spheres, cones and cylinders and use them to solve problem situations.

https://youtu.be/hC6zx9WAiC4 – cone

https://youtu.be/gL3HxBQyeg0 – cylinder

https://youtu.be/IelS2vg7JO8 – sphere

I can solve a system of equations with graphs, tables, and with substitution and use the solution to solve a problem situation.

Determine if an equation has a finite, infinite or no solution.

Unit 6:  It's in the System - Systems of Equations

Most videos are coming from https://www.khanacademy.org/math/algebra/systems-of-linear-equations

I can recognize linear equations in both slope-intercept and standard forms.

https://youtu.be/SPZsJN_Wsdc – Converting from standard to slope-intercept form

https://youtu.be/XOIhNVeLfWs – Converting from slope-intercept to standard form

I can analyze and solve pairs of simultaneous linear equations algebraically and by graphing.

https://youtu.be/5a6zpfl50go – Intro to system of linear equation

https://youtu.be/SkMNREAMNvc – How to check if your solutions is valid

https://youtu.be/MRAIgJmRmag – Solving by graphing (given in standard form)

https://youtu.be/VhH2nEDCd68 – Solving by graphing pt. 2 (giving in slope-intercept form)

https://youtu.be/V7H1oUHXPkg – Solving systems of equations with substitution

https://youtu.be/GWZKz4F9hWM – More substitution

https://youtu.be/vA-55wZtLeE – Solving systems of equations with elimination

https://youtu.be/QrHsibKBVwI – More elimination

https://youtu.be/wYrxKGt_bLg – Advanced elimination (using multiplication first)

I can recognize that systems of equations may have a finite number of solutions, an infinite number of solutions or no solution.

FYI, consistent means at least one solution, inconsistent means none

https://youtu.be/SuB1gkto9LU – Introduction video

Note: You don’t need to convert to slope intercept. You can use elimination as shown in our notes

https://youtu.be/Ix8Nne-a-KQ – Another video

I can use substitution and combining equations to solve systems of equations.

I can use systems of equations to solve problem situations.

https://youtu.be/gRntusF_tVI – Systems of equations word problems

https://youtu.be/3mimxluSVBo – Chores word problem (graphing)

https://youtu.be/OcNt-36QKu8 – Trolls and tolls story problem

https://youtu.be/H-HfmyUzPw8 – Trolls and tolls part 2

https://youtu.be/xCIHAjsZCE0 – King and cupcakes problem

https://youtu.be/VuJEidLhY1E – Potato chip problem

https://youtu.be/2EwPpga_XPw – More potato chips

https://youtu.be/NJRyxmommqQ – Fruit problem, part 1

https://youtu.be/MpRUEGD2-_c – Fruit problem, part 2

https://youtu.be/cNlwi6lUCEM – Another example (3 variables)

I can graph inequalities.

https://youtu.be/SgKBBUFaGb4 – Variables on both sides

https://youtu.be/XOAn5z8mkvI – Variables on both sides, use distributive property

https://youtu.be/xOxvyeSl0uA – Multi-step inequalities

https://youtu.be/cCMpin3Te4s – word problem

https://youtu.be/FnrqBgot3jM – 2 variables (linear inequalities)

https://youtu.be/YBYu5aZPLeg – get equation from graph (inequality)

https://youtu.be/MHgi8ZQCG0I – word problem

https://youtu.be/ysdY1iX_XCs – more word problems

https://youtu.be/TTYDbGXgcCk – interpreting word problems

I can analyze and solve pairs of linear inequalities algebraically and by graphing.

https://youtu.be/CA4S7S-3Lg4 – graphing a system of inequalities

https://youtu.be/YjT3QYfoy4Q – 3 equations

I can use systems of inequalities to solve problem situations.

https://youtu.be/BUmLw5m6F9s – word problems

https://youtu.be/jRnkxSfwIpU – writing equations for word problems

https://youtu.be/ZTKAn9YNbNY – solving word problems

https://youtu.be/C_7Tqk9fw4k – more word problems

I can interpret solutions of systems of equations and inequalities as viable or nonviable options in a problem situation.

I can solve a system consisting of a linear equations and a quadratic equation algebraically and graphically.

Athey Creek Middle School

Kathleen Hunt

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