Assessment Anchors

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).

Unit Conversions 2 - Scientific Notation and Significant Digits

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

Operations with Radical Expressions

Simplifying Radical Expressions

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).

Comparing and Ordering Decimals

Rational Numbers, Opposites, and Absolute Values

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.

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

Estimating Population Size

Geometric Probability

Part-to-part and Part-to-whole Ratios

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).

Absolute Value Equations and Inequalities

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

Operations with Radical Expressions

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

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).

Solving Equations on the Number Line

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

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

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.

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

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.

Perimeters and Areas of Similar Figures

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.

Chords and Arcs

Inscribed 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).

Concurrent Lines, Medians, and Altitudes

Similarity in Right Triangles

Triangle Inequalities

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

Classifying Quadrilaterals

Parallelogram Conditions

Special Parallelograms

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

Classifying Triangles

Concurrent Lines, Medians, and Altitudes

Triangle Inequalities

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.

Constructing Congruent Segments and Angles

Perimeters and Areas of Similar Figures

Similar Figures

Similarity in Right Triangles

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).

Cosine Function

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Sine Function

Tangent Function

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).

Circles

Distance Formula

Parabolas

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.

Arithmetic Sequences

Geometric Sequences

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).

Absolute Value Equations and Inequalities

Compound Inequalities

Solving Linear Inequalities in One Variable

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

Absolute Value Equations and Inequalities

Linear Functions

Linear Inequalities in Two Variables

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Standard Form of a Line

Systems of Linear Inequalities (Slope-intercept form)

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

Linear Functions

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Solving Algebraic Equations II

Solving Equations by Graphing Each Side

Solving Equations on the Number Line

Solving Two-Step Equations

Standard Form of a Line

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

Cat and Mouse (Modeling with Linear Systems)

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

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

Modeling the Factorization of *x*^{2}+*bx*+*c*

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).

Addition and Subtraction of Functions

Modeling the Factorization of *x*^{2}+*bx*+*c*

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).

Dividing Polynomials Using Synthetic Division

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

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.

Compound Interest

Dilations

Direct and Inverse Variation

Distance-Time and Velocity-Time Graphs

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.

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Standard Form of a Line

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

Cat and Mouse (Modeling with Linear Systems)

Linear Functions

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

Solving Equations by Graphing Each Side

Standard Form of a Line

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.

Absolute Value with Linear Functions

Addition and Subtraction of Functions

Arithmetic Sequences

Compound Interest

Exponential Functions

Introduction to Exponential Functions

Linear Functions

Logarithmic Functions

Point-Slope Form of a Line

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Slope-Intercept Form of a Line

Standard Form of a Line

Translating and Scaling Functions

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.

Box-and-Whisker Plots

Correlation

Stem-and-Leaf 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).

Box-and-Whisker Plots

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Stem-and-Leaf Plots

Trends in 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.

Describing Data Using Statistics

Mean, Median, and Mode

Stem-and-Leaf Plots

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

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Stem-and-Leaf Plots

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

Describing Data Using Statistics

Mean, Median, and Mode

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.

Independent and Dependent Events

Theoretical and Experimental Probability

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.

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

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.

Correlation

Determining a Spring Constant

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

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

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

Correlation last revised: 4/4/2018

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