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 x2+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 x2+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: 5/11/2018