Core Content For Assessment

MA-HS-1.1.1: Students will compare real numbers using order relations (less than, greater than, equal to) and represent problems using real numbers.

Comparing and Ordering Decimals

Rational Numbers, Opposites, and Absolute Values

MA-HS-1.1.3: Students will use scientific notation to express very large or very small quantities.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

MA-HS-1.3.1: Students will solve real-world and mathematical problems to specified accuracy levels by simplifying expressions with real numbers involving addition, subtraction, multiplication, division, absolute value, integer exponents, roots (square, cube) and factorials.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Simplifying Radical Expressions

MA-HS-1.3.2: Students will:

MA-HS-1.3.2.a: describe and extend arithmetic and geometric sequences;

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

MA-HS-1.3.2.b: determine a specific term of a sequence given an explicit formula;

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

MA-HS-1.3.2.c: determine an explicit rule for the nth term of an arithmetic sequence and

MA-HS-1.3.2.d: apply sequences to solve real-world problems.

Arithmetic Sequences

Estimating Population Size

Geometric Sequences

MA-HS-1.3.3: Students will write an explicit rule for the nth term of a geometric sequence.

MA-HS-1.4.1: Students will apply ratios, percents and proportional reasoning to solve real-world problems (e.g., those involving slope and rate, percent of increase and decrease) and will explain how slope determines a rate of change in linear functions representing real-world problems.

Beam to Moon (Ratios and Proportions)

Cat and Mouse (Modeling with Linear Systems)

Compound Interest

Direct and Inverse Variation

Estimating Population Size

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

Percent of Change

Point-Slope Form of a Line

Real-Time Histogram

Slope-Intercept Form of a Line

MA-HS-1.5.1: Students will identify real number properties (commutative properties of addition and multiplication, associative properties of addition and multiplication, distributive property of multiplication over addition and subtraction, identity properties of addition and multiplication and inverse properties of addition and multiplication) when used to justify a given step in simplifying an expression or solving an equation.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Algebraic Equations II

MA-HS-2.1.1: Students will determine the surface area and volume of right rectangular prisms, pyramids, cylinders, cones and spheres in real-world and mathematical problems.

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

MA-HS-2.1.2: Students will describe how a change in one or more dimensions of a geometric figure affects the perimeter, area and volume of the figure.

Perimeter and Area of Rectangles

MA-HS-2.1.3: Students will apply definitions and properties of right triangle relationships (right triangle trigonometry and the Pythagorean theorem) to determine length and angle measures to solve real-world and mathematical problems.

Classifying Triangles

Concurrent Lines, Medians, and Altitudes

Cosine Function

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Sine Function

Sine, Cosine, and Tangent Ratios

Tangent Function

MA-HS-2.1.4: Students will apply special right triangles and the converse of the Pythagorean theorem to solve real-world problems.

Circles

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Sine, Cosine, and Tangent Ratios

Surface and Lateral Areas of Pyramids and Cones

MA-HS-3.1.1: Students will analyze and apply spatial relationships (not using Cartesian coordinates) among points, lines and planes (e.g., betweenness of points, midpoint, segment length, collinear, coplanar, parallel, perpendicular, skew).

Parallel, Intersecting, and Skew Lines

Points in the Coordinate Plane

MA-HS-3.1.3: Students will analyze and apply angle relationships (e.g., linear pairs, vertical, complementary, supplementary, corresponding and alternate interior angles) in real-world and mathematical problems.

Investigating Angle Theorems

Triangle Angle Sum

MA-HS-3.1.4: Students will use angle relationships to prove basic theorems.

Investigating Angle Theorems

Triangle Angle Sum

MA-HS-3.1.5: Students will classify and apply properties of two-dimensional geometric figures (e.g., number of sides, vertices, length of sides, sum of interior and exterior angle measures).

Classifying Quadrilaterals

Classifying Triangles

Parallelogram Conditions

Special Parallelograms

MA-HS-3.1.6: Students will know the definitions and basic properties of a circle and will use them to prove basic theorems and solve problems.

Chords and Arcs

Inscribed Angles

MA-HS-3.1.7: Students will solve real-world and mathematical problems by applying properties of triangles (e.g., Triangle Sum theorem and Isosceles Triangle theorems).

Concurrent Lines, Medians, and Altitudes

Similarity in Right Triangles

Triangle Angle Sum

Triangle Inequalities

MA-HS-3.1.8: Students will use the properties of triangles to prove basic theorems.

Isosceles and Equilateral Triangles

Triangle Angle Sum

Triangle Inequalities

MA-HS-3.1.11: Students will visualize solids and surfaces in three-dimensional space when given two-dimensional representations (e.g., nets, multiple views) and create two-dimensional representations for the surfaces of three-dimensional objects.

Surface and Lateral Areas of Prisms and Cylinders

MA-HS-3.1.12: Students will apply the concepts of congruence and similarity to solve real-world and mathematical problems.

Circles

Constructing Congruent Segments and Angles

Perimeters and Areas of Similar Figures

Similarity in Right Triangles

MA-HS-3.1.13: Students will prove triangles congruent and similar.

Congruence in Right Triangles

Proving Triangles Congruent

Similar Figures

MA-HS-3.3.1: Students will apply algebraic concepts and graphing in the coordinate plane to analyze and solve problems (e.g., finding the final coordinates for a specified polygon, midpoints, between-ness of points, parallel and perpendicular lines, the distance between two points, the slope of a segment).

Points in the Coordinate Plane

MA-HS-3.4.1: Students will identify definitions, axioms and theorems, explain the necessity for them and of and give examples of them.

MA-HS-3.4.3: Students will be able to perform constructions such as a line parallel to a given line through a point not on the line, the perpendicular bisector of a line segment and the bisector of an angle.

Constructing Congruent Segments and Angles

Constructing Parallel and Perpendicular Lines

Parallel, Intersecting, and Skew Lines

Segment and Angle Bisectors

MA-HS-4.1.2: Students will construct data displays for data with no more than two variables.

MA-HS-4.2.1: Students will describe and compare data distributions and make inferences from the data based on the shapes of graphs, measures of center (mean, median, mode) and measures of spread (range, standard deviation).

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Polling: City

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Sight vs. Sound Reactions

Stem-and-Leaf Plots

MA-HS-4.2.2: Students will know the characteristics of the Gaussian normal distribution (bell-shaped curve).

Polling: City

Populations and Samples

Real-Time Histogram

Sight vs. Sound Reactions

MA-HS-4.2.3: Students will:

MA-HS-4.2.3.a: identify an appropriate curve of best fit (linear, quadratic, exponential) for a set of two-variable data;

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

MA-HS-4.2.3.b: determine a line of best fit equation for a set of linear two-variable data and

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

MA-HS-4.2.3.c: apply a line of best fit to make predictions within and beyond a given set of two-variable data.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

MA-HS-4.2.4: Students will recognize when arguments based on data confuse correlation and causation.

MA-HS-4.3.1: Students will recognize potential for bias resulting from the misuse of sampling methods (e.g., non-random sampling, polling only a specific group of people, using limited or extremely small sample sizes) and explain why these samples can lead to inaccurate inferences.

MA-HS-4.3.2: Students will design simple experiments or investigations to collect data to answer questions of interest.

Correlation

Describing Data Using Statistics

Real-Time Histogram

MA-HS-4.3.3: Students will explain the differences between randomized experiments and observational studies.

MA-HS-4.4.1: Students will:

MA-HS-4.4.1.a: determine theoretical and experimental (from given data) probabilities;

Binomial Probabilities

Geometric Probability

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

MA-HS-4.4.1.b: make predictions and draw inferences from probabilities;

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

MA-HS-4.4.1.c: compare theoretical and experimental probabilities and

Geometric Probability

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

MA-HS-4.4.1.d: determine probabilities involving replacement and non-replacement.

Binomial Probabilities

Geometric Probability

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

MA-HS-4.4.2: Students will recognize and identify the differences between combinations and permutations and use them to count discrete quantities.

Binomial Probabilities

Permutations and Combinations

MA-HS-4.4.3: Students will represent probabilities in multiple ways, such as fractions, decimals, percentages and geometric area models.

MA-HS-4.4.4: Students will explain how the law of large numbers can be applied in simple examples.

Theoretical and Experimental Probability

MA-HS-5.1.1: Students will identify multiple representations (tables, graphs, equations) of functions (linear, quadratic, absolute value, exponential) in real-world or mathematical problems.

Absolute Value Equations and Inequalities

Compound Interest

Exponential Functions

Introduction to Exponential Functions

Linear Functions

Logarithmic Functions

Points, Lines, and Equations

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Slope-Intercept Form of a Line

Translating and Scaling Functions

MA-HS-5.1.2: Students will identify, relate and apply representations (graphs, equations, tables) of a piecewise function (such as long distance telephone rates) from mathematical or real-world information.

Absolute Value with Linear Functions

MA-HS-5.1.3: Students will demonstrate how equations and graphs are models of the relationship between two real-world quantities (e.g., the relationship between degrees Celsius and degrees Fahrenheit).

Linear Functions

Quadratics in Polynomial Form

MA-HS-5.1.4: Students will recognize and solve problems that can be modeled using an exponential function, such as compound interest problems.

MA-HS-5.1.5: Students will:

MA-HS-5.1.5.a: determine if a relation is a function;

Introduction to Functions

Linear Functions

MA-HS-5.1.5.c: determine the slope and intercepts of a linear function;

Cat and Mouse (Modeling with Linear Systems)

Compound Interest

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

MA-HS-5.1.5.d: determine the maximum, minimum, and intercepts (roots/zeros) of a quadratic function and

Quadratics in Factored Form

Quadratics in Vertex Form

Zap It! Game

MA-HS-5.1.7: Students will apply and use direct and inverse variation to solve real-world and mathematical problems.

MA-HS-5.1.8: Students will identify the changes and explain how changes in parameters affect graphs of functions (linear, quadratic, absolute value, exponential) (e.g., compare y = x2, y = 2x2, y = (x-4)2, and y = x2+3).

Absolute Value with Linear Functions

Introduction to Exponential Functions

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Radical Functions

Slope-Intercept Form of a Line

Translating and Scaling Functions

Zap It! Game

MA-HS-5.2.1: Students will apply order of operations, real number properties (identity, inverse, commutative, associative, distributive, closure) and rules of exponents (integer) to simplify algebraic expressions.

Dividing Exponential Expressions

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Exponents and Power Rules

Multiplying Exponential Expressions

Operations with Radical Expressions

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Algebraic Equations I

Solving Algebraic Equations II

MA-HS-5.2.3: Students will:

MA-HS-5.2.3.a: add, subtract and multiply polynomial expressions;

Addition and Subtraction of Functions

Addition of Polynomials

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

MA-HS-5.2.3.b: factor polynomial expressions using the greatest common monomial factor and

MA-HS-5.2.4: Students will factor quadratic polynomials, such as perfect square trinomials and quadratic polynomials of the form ax² + bx + c when a is not equal to 1 and b and c are integers.

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

Quadratics in Factored Form

MA-HS-5.3.1: Students will model, solve and graph first degree, single variable equations and inequalities, including absolute value, based in real-world and mathematical problems and graph the solutions on a number line.

Absolute Value Equations and Inequalities

Compound Inequalities

Exploring Linear Inequalities in One Variable

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

MA-HS-5.3.2: Students will solve for a specified variable in a multivariable equation.

Area of Triangles

Solving Formulas for any Variable

MA-HS-5.3.3: Students will model, solve and graph first degree, two-variable equations and inequalities in real-world and mathematical problems.

Absolute Value Equations and Inequalities

Circles

Parabolas

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

MA-HS-5.3.4: Students will model, solve and graph systems of two linear equations in real-world and mathematical problems.

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)

MA-HS-5.3.5: Students will write, graph, and solve systems of two linear inequalities based on real-world or mathematical problems and interpret the solution.

Linear Programming

Systems of Linear Inequalities (Slope-intercept form)

MA-HS-5.3.6: Students will model, solve and graph quadratic equations in real-world and mathematical problems.

Addition and Subtraction of Functions

Quadratics in Polynomial Form

Correlation last revised: 4/4/2018

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