Gizmos for Montana - Mathematics: Core Algebraic and Functional Reasoning (2026 Content Standards adopted 2025)

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

MT.CORE.ALG.FUN: Understand Functions and Expressions

MT.CORE.ALG.FUN.1: Interpret parts of an expression, such as terms, factors, and coefficients.

MT.CORE.ALG.FUN.2: Understand the definition of a function and distinguish between functions and relations.

MT.CORE.ALG.FUN.4: Use function notation, evaluate functions, and interpret statements that use function notation in context. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities.

MT.CORE.ALG.FUN.5: Identify the domain and range of a function, including considering the constraints imposed by context. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities.

MT.CORE.ALG.FUN.6: Understand that a graph of an equation in two variables is the set of all of its solutions plotted in a coordinate plane.

MT.CORE.ALG.FUN.7: Understand that expressions can be rewritten in equivalent forms to make different characteristics or features visible.

MT.CORE.ALG.FUN.8: Rearrange literal equations to highlight quantities of interest.

MT.CORE.ALG.LIN: Linear Functions and Expressions

MT.CORE.ALG.LIN.1: Understand that linear functions have a constant rate of change.

MT.CORE.ALG.LIN.2: Understand slope as a rate of change and 𝑦-intercept as initial value.

MT.CORE.ALG.LIN.3: Represent linear functions using tables, graphs, equations, and verbal situations, while using technology strategically. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities by:

MT.CORE.ALG.LIN.3.a: Identifying the rate of change and initial value in each representation.

MT.CORE.ALG.LIN.3.b: Converting between representations.

MT.CORE.ALG.LIN.4: Understand that linear equations can be represented in multiple forms and the specific features of each form by:

MT.CORE.ALG.LIN.4.b: Converting between slope-intercept, point-slope, and standard form symbolically,

MT.CORE.ALG.LIN.4.c: Understanding the relationship between slope-intercept form, the rate of change, and the initial value,

MT.CORE.ALG.LIN.4.d: Understanding the relationship between point-slope form, the rate of change, and a given point, and

MT.CORE.ALG.LIN.4.e: Understanding the relationship between standard form and the 𝑥- and 𝑦-intercepts.

MT.CORE.ALG.LIN.5: Understand that a solution to a system of equations is a coordinate pair that makes both equations true.

MT.CORE.ALG.LIN.6: Solve systems of linear equations by graphing, substitution, and elimination, including systems with zero, one, or infinite solutions, while using technology and representations strategically.

MT.CORE.ALG.QUAD: Quadratic Functions and Expressions

MT.CORE.ALG.QUAD.2: Represent quadratic functions using tables, graphs, equations, and verbal situations, while using technology strategically. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities.

MT.CORE.ALG.QUAD.3: Understand that quadratic expressions can be represented in multiple forms and the specific features of each form by:

MT.CORE.ALG.QUAD.3.b: Converting between factored, standard, and vertex form symbolically and using representations,

MT.CORE.ALG.QUAD.3.c: Understanding the relationship between factored form and the zeros of the function, and

MT.CORE.ALG.QUAD.3.d: Understanding the relationship between vertex form and the vertex of the function.

MT.CORE.ALG.QUAD.4: Solve quadratic equations by factoring, graphing, completing the square, using inverse operations, and the quadratic formula. Use technology and representations strategically.

MT.CORE.ALG.EXP: Exponential Functions and Expressions

MT.CORE.ALG.EXP.2: Understand 𝑎 as the initial value and 𝑏 as the growth/decay factor for an exponential function written in standard form, 𝑦 = 𝑎 ⋅ 𝑏ˣ.

MT.CORE.ALG.EXP.4: Represent exponential functions using tables, graphs, equations, and verbal situations; using technology strategically. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities.

MT.CORE.ALG.MOD: Modeling with Functions

MT.CORE.ALG.MOD.2: Interpret the coefficients in a linear, quadratic, and exponential model in context. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities.

MT.CORE.ALG.MOD.3: Choose and interpret measurement units in formulas, graphs, and data displays to understand problems and to guide problem-solving in modeling situations. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities.

MT.CORE.ALG.MOD.4: Choose a level of accuracy appropriate to limitations on measurement when reporting quantities in modeling situations. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities.

Correlation last revised: 7/28/2026

Montana - Mathematics: Core Algebraic and Functional Reasoning

2026 Content Standards | Adopted: 2025

MT.CORE.ALG.FUN: Understand Functions and Expressions

MT.CORE.ALG.LIN: Linear Functions and Expressions

MT.CORE.ALG.QUAD: Quadratic Functions and Expressions

MT.CORE.ALG.EXP: Exponential Functions and Expressions

MT.CORE.ALG.MOD: Modeling with Functions