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GeorgiaMaths

Numerical Reasoning and Modeling

5 dot points across 5 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you read the parts of an algebraic expression, and how does rewriting an expression reveal its meaning in a context?

Interpret the parts of an expression (terms, factors, coefficients) in context, and use the structure of an expression to rewrite it in an equivalent form (A.PAR, Patterning and Algebraic Reasoning).
A Georgia Milestones Algebra: Concepts & Connections answer on interpreting the parts of an expression (terms, factors, coefficients) in a real context, and using structure to rewrite expressions, including factoring out a common factor and reading what each part of a formula represents.
9 min answer →

How do you add, subtract, and multiply polynomials, and how do you factor a quadratic expression back into a product of binomials?

Add, subtract, and multiply polynomials, and factor quadratic expressions including GCF, trinomials, and the difference of squares (A.PAR, Patterning and Algebraic Reasoning).
A Georgia Milestones Algebra: Concepts & Connections answer on polynomial operations and factoring: adding and subtracting by combining like terms, multiplying with the distributive property and FOIL, and factoring quadratics by GCF, by trinomial factoring, and by the difference-of-squares pattern.
11 min answer →

How do you rewrite expressions involving square roots, cube roots, and rational exponents, and how are radicals and exponents two ways of writing the same thing?

Rewrite expressions involving radicals and rational exponents using the properties of exponents, and simplify square roots and cube roots (A.NR, Numerical Reasoning).
A Georgia Milestones Algebra: Concepts & Connections answer on rewriting radicals and rational exponents, simplifying square roots and cube roots using the product rule, and converting between radical and exponent form with the rule that the denominator is the root and the numerator is the power.
10 min answer →

What makes a number rational or irrational, and what happens when you add or multiply numbers from each set?

Classify real numbers as rational or irrational, and reason about the rationality of sums and products of rational and irrational numbers (A.NR, Numerical Reasoning).
A Georgia Milestones Algebra: Concepts & Connections answer on classifying real numbers as rational or irrational, recognizing terminating and repeating decimals, and reasoning about sums and products: rational plus rational is rational, rational plus irrational is irrational, and a nonzero rational times an irrational is irrational.
9 min answer →

How do you use units and quantities to set up a problem correctly, convert between measures, and report an answer to a sensible level of accuracy?

Use units as a guide to setting up and solving modeling problems, convert units with conversion factors, and choose an appropriate level of accuracy (A.MM and A.NR, Modeling and Numerical Reasoning).
A Georgia Milestones Algebra: Concepts & Connections answer on using units to guide problem setup, converting between units with conversion factors that cancel, interpreting rates, and reporting answers to an appropriate level of accuracy for a real-world context.
9 min answer →