LA.1.AI: Students will develop the language of algebra including specialized vocabulary, symbols, and operations.

LA.1.AI.1: Evaluate algebraic expressions, including radicals, by applying the order of operations

LA.1.AI.2: Translate word phrases and sentences into expressions, equations, and inequalities, and vice versa

LA.1.AI.3: Apply the laws of (integral) exponents and roots.

LA.1.AI.4: Solve problems involving scientific notation, including multiplication and division.

LA.1.AI.5: Perform polynomial operations (addition, subtraction, multiplication) with and without manipulatives

LA.1.AI.8: Simplify radical expressions such as 3/(square root of 7)

LA.1.AI.9: Add, subtract, and multiply simple radical expressions like 3(square root of 20) + 7(square root of 5) and 4(square root of 5) * 2(square root of 3)

SEI.2.AI: Students will write, with and without appropriate technology, equivalent forms of equations, inequalities and systems of equations and solve with fluency.

SEI.2.AI.1: Solve multi-step equations and inequalities with rational coefficients

SEI.2.AI.1.b: algebraically (including the use of manipulatives)

SEI.2.AI.2: Solve systems of two linear equations

SEI.2.AI.2.a: numerically (from a table or guess and check)

SEI.2.AI.2.b: algebraically (including the use of manipulatives)

SEI.2.AI.2.c: graphically

SEI.2.AI.2.d: technologically

SEI.2.AI.3: Solve linear formulas and literal equations for a specified variable

SEI.2.AI.4: Solve and graph simple absolute value equations and inequalities

SEI.2.AI.5: Solve real world problems that involve a combination of rates, proportions and percents

SEI.2.AI.7: Use coordinate geometry to represent and/or solve problems (midpoint, length of a line segment, and Pythagorean Theorem)

SEI.2.AI.8: Communicate real world problems graphically, algebraically, numerically and verbally

LF.3.AI: Students will analyze functions by investigating rates of change, intercepts, and zeros.

LF.3.AI.1: Distinguish between functions and non-functions/relations by inspecting graphs, ordered pairs, mapping diagrams and/or tables of data

LF.3.AI.2: Determine domain and range of a relation from an algebraic expression, graphs, set of ordered pairs, or table of data

LF.3.AI.5: Interpret the rate of change/slope and intercepts within the context of everyday life

LF.3.AI.6: Calculate the slope given

LF.3.AI.6.a: two points

LF.3.AI.6.b: the graph of a line

LF.3.AI.6.c: the equation of a line

LF.3.AI.7: Determine by using slope whether a pair of lines are parallel, perpendicular, or neither

LF.3.AI.8: Write an equation in slope-intercept, point-slope, and standard forms given

LF.3.AI.8.a: two points

LF.3.AI.8.b: a point and y-intercept

LF.3.AI.8.c: x-intercept and y-intercept

LF.3.AI.8.d: a point and slope

LF.3.AI.8.e: a table of data

LF.3.AI.8.f: the graph of a line

LF.3.AI.9: Describe the effects of parameter changes, slope and/or y-intercept, on graphs of linear functions and vice versa

NLF.4.AI: Students will compare the properties in the family of functions.

NLF.4.AI.1: Factoring polynomials

NLF.4.AI.1.a: greatest common factor

NLF.4.AI.1.b: binomials (difference of squares)

NLF.4.AI.1.c: trinomials

NLF.4.AI.2: Determine minimum, maximum, vertex, and zeros, given the graph

NLF.4.AI.3: Solve quadratic equations using the appropriate methods with and without technology

NLF.4.AI.3.a: factoring

NLF.4.AI.3.b: quadratic formula with real number solutions

NLF.4.AI.4: Recognize function families and their connections including vertical shift and reflection over the x-axis

NLF.4.AI.4.b: absolute value

NLF.4.AI.4.c: exponential functions

NLF.4.AI.5: Communicate real world problems graphically, algebraically, numerically and verbally

DIP.5.AI: Students will compare various methods of reporting data to make inferences or predictions.

DIP.5.AI.3: Construct simple matrices for real life situations

DIP.5.AI.5: Use two or more graphs (i.e., box-and- whisker, histograms, scatter plots) to compare data sets

DIP.5.AI.6: Construct and interpret a cumulative frequency histogram in real life situations

DIP.5.AI.7: Recognize linear functions and non-linear functions by using a table or a graph

DIP.5.AI.8: Compute simple probability with and without replacement

DIP.5.AI.9: Recognize patterns using explicitly defined and recursively defined linear functions

DIP.5.AI.10: Communicate real world problems graphically, algebraically, numerically and verbally

DIP.5.AI.11: Explain how sampling methods, bias, and phrasing of questions in data collection impact the conclusions

DIP.5.AI.12: Recognize when arguments based on data confuse correlation with causation

Correlation last revised: 5/8/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.