Standards Map

Mathematics > Course Model Algebra I (Traditional Pathway) > Seeing Structure in Expressions
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Mathematics | Course : Model Algebra I (Traditional Pathway)

Domain - Seeing Structure in Expressions

Cluster - Interpret the structure of linear, quadratic, and exponential expressions with integer exponents.

[AI.A-SSE.A.1.b] - Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1 + r)t as the product of P and a factor not depending on P.

Resources:


  • Expression
    A mathematical phrase that combines operations, numbers, and/or variables (e.g., 32 ÷ a).

Predecessor Standards:

  • 6.EE.A.2
    Write, read, and evaluate expressions in which letters stand for numbers.
  • 6.EE.A.2.a
    Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation "Subtract y from 5" as 5 – y.
  • 6.EE.A.2.b
    Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2(8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms.
  • 6.EE.A.2.c
    Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s³ and A = 6 s² to find the volume and surface area of a cube with sides of length s = 1/2.
  • 7.EE.A.2
    Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.” A shirt at a clothing store is on sale for 20% off the regular price, “p”. The discount can be expressed as 0.2p. The new price for the shirt can be expressed as p – 0.2p or 0.8p.
  • 8.F.B.4
    Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • AI.A-SSE.A.1.a
    Interpret parts of an expression, such as terms, factors, and coefficients.
  • AI.A-CED.A.1
    Create equations and inequalities in one variable and use them to solve problems. (Include equations arising from linear, quadratic, and exponential functions with integer exponents.)*
  • AI.A-CED.A.2
    Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.*
  • AI.A-CED.A.3
    Represent constraints by linear equations or inequalities, and by systems of linear 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.
  • AI.A-CED.A.4
    Rearrange formulas to highlight a quantity of interest using the same reasoning as in solving equations (Properties of equality).* For example, rearrange Ohm’s law R=V2/P to solve for voltage, V. Manipulate variables in formulas used in financial contexts such as for simple interest, I=Prt.
  • AI.F-BF.B.3
    Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Include linear, quadratic, exponential, and absolute value functions. Utilize technology to experiment with cases and illustrate an explanation of the effects on the graph.
  • AI.F-LE.B.5
    Interpret the parameters in a linear or exponential function (of the form f(x) = bx + k) in terms of a context.*