#### M11.A: Numbers and Operations

M11.A.1: Demonstrate an understanding of numbers, ways of representing numbers, relationships among numbers and number systems.

M11.A.1.1: Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots, exponents and scientific notation).

M11.A.1.1.1: Find the square root of an integer to the nearest tenth using either a calculator or estimation.

M11.A.1.1.2: Express numbers and/or simplify expressions using scientific notation (including numbers less than 1).

M11.A.1.1.3: Simplify square roots. (e.g., square root of 24 = 2 times the square root of 6)

M11.A.1.3: Estimate the value of an irrational number.

M11.A.1.3.2: Compare and/or order any real numbers (rational and irrational may be mixed).

M11.A.2: Understand the meanings of operations, use operations and understand how they relate to each other.

M11.A.2.1: Apply ratio and/or proportion in problem-solving situations.

M11.A.2.1.2: Solve problems using direct and inverse proportions.

M11.A.2.1.3: Identify and/or use proportional relationships in problem solving settings.

M11.A.2.2: Use exponents, roots and/or absolute value to solve problems.

M11.A.2.2.1: Simplify/evaluate expressions involving positive and negative exponents, roots and/or absolute value (may contain all types of real numbers - exponents should not exceed power of 10).

M11.A.3: Compute accurately and fluently and make reasonable estimates.

M11.A.3.1: Apply the order of operations in computation and in problem-solving situations.

M11.A.3.1.1: Simplify/evaluate expressions using the order of operations to solve problems (any rational numbers may be used).

M11.A.3.2: Use estimation strategies in problem-solving situations.

M11.A.3.2.1: Use estimation to solve problems.

#### M11.B: Measurement

M11.B.2: Apply appropriate techniques, tools and formulas to determine measurements.

M11.B.2.2: Use and/or develop procedures to determine or describe measures of perimeter, circumference, area, surface area and/or volume. (May require conversions within the same system.)

M11.B.2.2.1: Calculate the surface area of prisms, cylinders, cones, pyramids and/or spheres. Formulas are provided on the reference sheet.

M11.B.2.2.2: Calculate the volume of prisms, cylinders, cones, pyramids and/or spheres. Formulas are provided on the reference sheet.

M11.B.2.2.4: Find the measurement of a missing length given the perimeter, circumference, area or volume.

#### M11.C: Geometry

M11.C.1: Analyze characteristics and properties of two- and three- dimensional geometric shapes and demonstrate understanding of geometric relationships.

M11.C.1.1: Identify and/or use parts of circles and segments associated with circles.

M11.C.1.1.2: Identify and/or use the properties of arcs, semicircles, inscribed angles and/or central angles.

M11.C.1.2: Recognize and/or apply properties of angles, triangles and quadrilaterals.

M11.C.1.2.1: Identify and/or use properties of triangles (e.g., medians, altitudes, angle bisectors, side/angle relationships, Triangle Inequality Theorem).

M11.C.1.2.2: Identify and/or use properties of quadrilaterals (e.g., parallel sides, diagonals, bisectors, congruent sides/angles and supplementary angles).

M11.C.1.2.3: Identify and/or use properties of isosceles and equilateral triangles

M11.C.1.3: Use properties of congruence, correspondence and similarity in problem-solving settings involving two- and three- dimensional figures.

M11.C.1.3.1: Identify and/or use properties of congruent and similar polygons or solids.

M11.C.1.4: Solve problems involving right triangles using the Pythagorean Theorem.

M11.C.1.4.1: Find the measure of a side of a right triangle using the Pythagorean Theorem (Pythagorean Theorem included on the reference sheet).

M11.C.3: Locate points or describe relationships using the coordinate plane.

M11.C.3.1: Solve problems using analytic geometry.

M11.C.3.1.1: Calculate the distance and/or midpoint between 2 points on a number line or on a coordinate plane (formula provided on the reference sheet).

#### M11.D: Algebraic Concepts

M11.D.1: Demonstrate an understanding of patterns, relations and functions.

M11.D.1.1: Analyze and/or use patterns or relations.

M11.D.1.1.1: Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.

M11.D.1.1.2: Determine if a relation is a function given a set of points or a graph.

M11.D.2: Represent and/or analyze mathematical situations using numbers, symbols, words, tables and/or graphs.

M11.D.2.1: Write, solve and/or graph linear equations and inequalities using various methods.

M11.D.2.1.1: Solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).

M11.D.2.1.2: Identify or graph functions, linear equations or linear inequalities on a coordinate plane.

M11.D.2.1.3: Write, solve and/or apply a linear equation (including problem situations).

M11.D.2.1.4: Write and/or solve systems of equations using graphing, substitution and/or elimination (limit systems to 2 equations).

M11.D.2.1.5: Solve quadratic equations using factoring (integers only - not including completing the square or the Quadratic Formula).

M11.D.2.2: Simplify expressions involving polynomials.

M11.D.2.2.1: Add, subtract and/or multiply polynomial expressions (express answers in simplest form - nothing larger than a binomial multiplied by a trinomial).

M11.D.2.2.2: Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax²+bx+c where a is not equal to 0).

M11.D.3: Analyze change in various contexts.

M11.D.3.1: Describe and/or determine change.

M11.D.3.1.1: Identify, describe and/or use constant or varying rates of change.

M11.D.3.2: Compute and/or use the slope of a line.

M11.D.3.2.1: Apply the formula for the slope of a line to solve problems (formula given on reference sheet).

M11.D.3.2.2: Given the graph of the line, 2 points on the line, or the slope and a point on a line, write or identify the linear equation in point-slope, standard and/or slope-intercept form.

M11.D.3.2.3: Compute the slope and/or y-intercept represented by a linear equation or graph.

M11.D.4: Describe or use models to represent quantitative relationships.

M11.D.4.1: Interpret and/or use linear, quadratic and/or exponential functions and their equations, graphs or tables.

M11.D.4.1.1: Match the graph of a given function to its table or equation.

#### M11.E: Data Analysis and Probability

M11.E.1: Formulate or answer questions that can be addressed with data and/or organize, display, interpret or analyze data.

M11.E.1.1: Appropriately display and/or use data in problem-solving settings.

M11.E.1.1.1: Create and/or use appropriate graphical representations of data, including box-and-whisker plots, stem-and-leaf plots or scatter plots.

M11.E.1.1.2: Analyze data and/or answer questions based on displayed data (box-and-whisker plots, stem-and-leaf plots or scatter plots).

M11.E.2: Select and/or use appropriate statistical methods to analyze data.

M11.E.2.1: Use measures of central tendency to describe a set of data.

M11.E.2.1.1: Calculate or select the appropriate measure of central tendency (mean, mode or median) of a set of data given or represented on a table, line plot or stem-and-leaf plot.

M11.E.2.1.2: Calculate and/or interpret the range, quartiles and interquartile range of data.

M11.E.2.1.3: Describe how outliers affect measures of central tendency.

M11.E.3: Understand and/or apply basic concepts of probability or outcomes.

M11.E.3.1: Apply probability and/or odds to practical situations.

M11.E.3.1.2: Find, convert and/or compare the probability and/or odds of a simple event.

M11.E.4: Develop and/or evaluate inferences and predictions or draw conclusions based on data or data displays.

M11.E.4.1: Make predictions using data displays and probability.

M11.E.4.1.2: Use probability to predict outcomes.

M11.E.4.2: Analyze and/or interpret data on a scatter plot and/or use a scatter plot to make predictions.

M11.E.4.2.1: Draw, find and/or write an equation for a line of best fit for a scatter plot.

M11.E.4.2.2: Make predictions using the equations or graphs of best-fit lines of scatter plots.

Correlation last revised: 5/23/2018

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