### MP: These student expectations will not be listed under a separate reporting category. Instead, they will be incorporated into test questions across reporting categories since the application of mathematical process standards is part of each knowledge statement.

MP.8.1: The student uses mathematical processes to acquire and demonstrate mathematical understanding.

MP.8.1.A: apply mathematics to problems arising in everyday life, society, and the workplace;

MP.8.1.B: use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;

MP.8.1.C: select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;

MP.8.1.D: communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;

MP.8.1.E: create and use representations to organize, record, and communicate mathematical ideas;

MP.8.1.G: display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.

### 1: The student will demonstrate an understanding of how to represent and manipulate numbers and expressions.

1.8.2: The student applies mathematical process standards to represent and use real numbers in a variety of forms.

1.8.2.B: approximate the value of an irrational number, including pi and square roots of numbers less than 225, and locate that rational number approximation on a number line;

1.8.2.C: convert between standard decimal notation and scientific notation; and

1.8.2.D: order a set of real numbers arising from mathematical and real-world contexts.

### 2: The student will demonstrate an understanding of how to perform operations and represent algebraic relationships.

2.8.4: The student applies mathematical process standards to explain proportional and non-proportional relationships involving slope.

2.8.4.B: graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship; and

2.8.4.C: use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems.

2.8.5: The student applies mathematical process standards to use proportional and non-proportional relationships to develop foundational concepts of functions.

2.8.5.A: represent linear proportional situations with tables, graphs, and equations in the form of y = kx;

2.8.5.B: represent linear non-proportional situations with tables, graphs, and equations in the form of y = mx + b, where b is not equal to 0;

2.8.5.E: solve problems involving direct variation;

2.8.5.G: identify functions using sets of ordered pairs, tables, mappings, and graphs;

2.8.5.H: identify examples of proportional and non-proportional functions that arise from mathematical and real-world problems; and

2.8.5.I: write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations.

2.8.8: The student applies mathematical process standards to use one-variable equations or inequalities in problem situations.

2.8.8.A: write one-variable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants;

2.8.8.B: write a corresponding real-world problem when given a one-variable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants; and

2.8.8.C: model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants.

2.8.9: The student applies mathematical process standards to use multiple representations to develop foundational concepts of simultaneous linear equations.

2.8.9.A: identify and verify the values of x and y that simultaneously satisfy two linear equations in the form y = mx + b from the intersections of the graphed equations.

### 3: The student will demonstrate an understanding of how to represent and apply geometry and measurement concepts.

3.8.3: The student applies mathematical process standards to use proportional relationships to describe dilations.

3.8.3.A: generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation;

3.8.3.B: compare and contrast the attributes of a shape and its dilation(s) on a coordinate plane; and

3.8.3.C: use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of dilation.

3.8.6: The student applies mathematical process standards to develop mathematical relationships and make connections to geometric formulas.

3.8.6.A: describe the volume formula V = Bh of a cylinder in terms of its base area and its height; and

3.8.6.C: use models and diagrams to explain the Pythagorean theorem.

3.8.7: The student applies mathematical process standards to use geometry to solve problems.

3.8.7.A: solve problems involving the volume of cylinders, cones, and spheres;

3.8.7.B: use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders;

3.8.7.C: use the Pythagorean Theorem and its converse to solve problems; and

3.8.7.D: determine the distance between two points on a coordinate plane using the Pythagorean Theorem.

3.8.8: The student applies mathematical process standards to use one-variable equations or inequalities in problem situations.

3.8.8.D: use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

3.8.10: The student applies mathematical process standards to develop transformational geometry concepts.

3.8.10.A: generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane;

3.8.10.B: differentiate between transformations that preserve congruence and those that do not;

3.8.10.C: explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90°, 180°, 270°, and 360° as applied to two-dimensional shapes on a coordinate plane using an algebraic representation; and

3.8.10.D: model the effect on linear and area measurements of dilated two-dimensional shapes.

### 4: The student will demonstrate an understanding of how to represent and analyze data and how to describe and apply personal financial concepts.

4.8.5: The student applies mathematical process standards to use proportional and non-proportional relationships to develop foundational concepts of functions.

4.8.5.C: contrast bivariate sets of data that suggest a linear relationship with bivariate sets of data that do not suggest a linear relationship from a graphical representation; and

4.8.5.D: use a trend line that approximates the linear relationship between bivariate sets of data to make predictions.

4.8.11: The student applies mathematical process standards to use statistical procedures to describe data.

4.8.11.A: construct a scatterplot and describe the observed data to address questions of association such as linear, non-linear, and no association between bivariate data; and

4.8.12: The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor.

4.8.12.A: solve real-world problems comparing how interest rate and loan length affect the cost of credit;

4.8.12.D: calculate and compare simple interest and compound interest earnings; and

Correlation last revised: 9/16/2020

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