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      Athey Creek Middle School

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      • Accelerated Algebra Learning Targets

      Kathleen Hunt

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      • Daily Agenda
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      • Algebra Learning Targets
      • Welcome
      • 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.
          1. 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
          2. I know the squares of integers up to 15 and square roots of integers up to 225.
            • https://youtu.be/ROIfbUQrSY4
          3. 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
          4. I can estimate the square root of integers to the hundredths place and cube roots to the tenths place.
            • https://youtu.be/EFVrAk61xjE
          5. 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
          6. I can determine the length of a segment by constructing a square.
          7. I can order rational and irrational numbers on a number line.
          8. 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
          9. 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
          10. 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
          11. 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 🙂
          12. I can find the distance between any two points using the distance formula.
            • https://youtu.be/nyZuite17Pc (same video as derivation)
          13. 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.
          14. 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
          1. https://youtu.be/kvGsIo1TmsM
        • I can recognize, write, and graph exponential functions
          1. https://youtu.be/8OHEgD6YMBw – Linear vs. Exponential
          2. 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

        1. 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
        2. 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)
        3. 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
        4. I can use substitution and combining equations to solve systems of equations.
        5. 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)
        6. 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
        7. 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
        8. 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
        9. I can interpret solutions of systems of equations and inequalities as viable or nonviable options in a problem situation.
        10. I can solve a system consisting of a linear equations and a quadratic equation algebraically and graphically.

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