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Mathematics | Grade : 7
Domain - Expressions and Equations
Cluster - Use properties of operations to generate equivalent expressions.
[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.
[7.EE.A.1] -
Apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients.
For example, 4x + 2 = 2(2x +1) and -3(x – 5/3) = -3x + 5.
[AI.A-SSE.A.1] -
Interpret expressions that represent a quantity in terms of its context.*
[AI.A-SSE.A.1.a] -
Interpret parts of an expression, such as terms, factors, and coefficients.
[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.
[AI.A-SSE.B.3] -
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
[AI.A-SSE.B.3.a] -
Factor a quadratic expression to reveal the zeros of the function it defines.
[AI.A-SSE.B.3.b] -
Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
[AI.F-IF.C.8] -
Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
[AI.F-IF.C.8.a] -
Use the process of factoring and completing the square in a quadratic function to show zeros, maximum/minimum values, and symmetry of the graph, and interpret these in terms of a context.
[AI.F-IF.C.8.b] -
Use the properties of exponents to interpret expressions for exponential functions. Apply to financial situations such as identifying appreciation and depreciation rate for the value of a house or car some time after its initial purchase: Vn=P(1+r)n. For example, identify percent rate of change in functions such as y = (1.02)t, y = (0.97)t, y = (1.01)12t, and y = (1.2)t /10, and classify them as representing exponential growth or decay.
[MI.A-SSE.A.1] -
Interpret expressions that represent a quantity in terms of its context.*
[MI.A-SSE.A.1.a] -
Interpret parts of an expression, such as terms, factors, and coefficients.
[MI.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)n as the product of P and a factor not depending on P.
[MII.A-SSE.B.3] -
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
[MII.A-SSE.B.3.a] -
Factor a quadratic expression to reveal the zeros of the function it defines.
[MII.A-SSE.B.3.b] -
Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.