← Maths syllabus

TennesseeMaths

Structure and Operations

6 dot points across 6 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you simplify expressions using the properties of exponents, including negative and rational exponents, and how do rational exponents relate to radicals?

Apply the properties of integer and rational exponents to simplify expressions, and rewrite radicals using rational exponents (TN A1.N.Q.A, exponent properties).
A TNReady Algebra I answer on the exponent properties (product, quotient, power, negative, zero, and rational exponents), simplifying expressions, and converting between radical and rational-exponent form.
10 min answer →

How do you factor a polynomial, and how do its factors reveal the zeros of the related function?

Factor polynomials using common factors and standard patterns, and identify the zeros of a polynomial from its factored form (TN A1.A.SSE.A.2, A1.A.APR.A.3).
A TNReady Algebra I answer on factoring polynomials (TN A1.A.SSE.A.2, A1.A.APR.A.3), the GCF, trinomials, difference of squares, and using factored form to read the zeros of a function.
11 min answer →

How do you read an algebraic expression in terms of its context, identifying its terms, factors, and coefficients and what each part means?

Interpret expressions that represent a quantity in terms of its context, identifying terms, factors, and coefficients, and view complicated expressions by treating parts as a single entity (TN A1.A.SSE.A.1).
A TNReady Algebra I answer on interpreting expressions in context (TN A1.A.SSE.A.1), naming terms, factors, and coefficients, and reading a complicated expression by treating a chunk as a single entity.
9 min answer →

How do you add, subtract, and multiply polynomials, and why is the result always another polynomial?

Add, subtract, and multiply polynomials, understanding that polynomials form a system closed under these operations (TN A1.A.APR.A.1).
A TNReady Algebra I answer on adding, subtracting, and multiplying polynomials (TN A1.A.APR.A.1), combining like terms, distributing the subtraction sign, and using the distributive property and FOIL.
10 min answer →

How do you use the structure of an expression to rewrite it in an equivalent, more useful form?

Use the structure of an expression to identify ways to rewrite it, recognizing forms such as a difference of squares or a common factor (TN A1.A.SSE.A.2).
A TNReady Algebra I answer on rewriting expressions by recognizing structure (TN A1.A.SSE.A.2), spotting a difference of squares, a common factor, or a quadratic in disguise, and producing an equivalent form.
9 min answer →

How do you use units to guide and check the solution of a multistep problem, and choose an appropriate level of accuracy?

Use units to understand problems and guide solutions, choose and interpret units and scales in graphs, define appropriate quantities for modeling, and choose a level of accuracy appropriate to the measurement (TN A1.N.Q.A.1-3).
A TNReady Algebra I answer on using units to guide multistep problems (TN A1.N.Q.A.1-3), unit conversion and dimensional analysis, interpreting graph scales, and choosing an appropriate level of accuracy.
9 min answer →