Content Standards

MA.PA.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

MA.PA.1.2: Compare and order rational numbers and square roots

Comparing and Ordering Decimals

Rational Numbers, Opposites, and Absolute Values

MA.PA.2: Understand the meaning of operations and how they relate to each other

MA.PA.2.2: Demonstrate the inverse relationship between square numbers and square roots, and cubes and cubed roots

MA.PA.4: Understand attributes, units, and systems of units in measurement; and develop and use techniques, tools, and formulas for measuring

MA.PA.4.1: Select and use appropriate units to measure the surface area and volume of solids

Surface and Lateral Areas of Prisms and Cylinders

MA.PA.4.3: Use ratios and proportions to solve measurement problems

Beam to Moon (Ratios and Proportions)

Estimating Population Size

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

MA.PA.4.4: Use formulas to determine the surface area and volume of selected prisms, cylinders, and pyramids

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

MA.PA.4.5: Use the right triangle relationships (e.g., trigonometric ratios: cosine, sine, and tangent) to solve problems

Cosine Function

Sine Function

Sine, Cosine, and Tangent Ratios

Tangent Function

MA.PA.5: Analyze properties of objects and relationships among the properties

MA.PA.5.1: Apply the Pythagorean theorem to solve problems involving right triangles

Cosine Function

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Sine Function

Tangent Function

MA.PA.6: Use transformations and symmetry to analyze mathematical situations

MA.PA.6.1: Perform a transformation (reflection, rotation, translation) when given a figure and necessary parameters

Absolute Value with Linear Functions

Circles

Dilations

Holiday Snowflake Designer

Reflections

Rotations, Reflections, and Translations

Similar Figures

Translations

MA.PA.6.2: Describe the size, position, and orientation of shapes under transformations and compositions of transformations

Dilations

Reflections

Rotations, Reflections, and Translations

Translations

MA.PA.7: Use visualization and spatial reasoning to solve problems both within and outside of mathematics

MA.PA.7.1: Use two-dimensional representations of pyramids, prisms, and cylinders to solve problems involving these figures

Surface and Lateral Areas of Prisms and Cylinders

MA.PA.8: Select and use different representational systems, including coordinate geometry

MA.PA.8.1: Use coordinate geometry to represent transformations in the coordinate plane

MA.PA.9: Understand various types of patterns and functional relationships

MA.PA.9.1: Represent a variety of patterns (including recursive patterns) with tables, graphs (including graphing technology when available), words, and when possible, symbolic rules

Arithmetic Sequences

Geometric Sequences

Introduction to Functions

Points, Lines, and Equations

MA.PA.9.2: Use linear relationships with two variables to solve problems

Absolute Value with Linear Functions

Arithmetic Sequences

Compound Interest

Linear Functions

Slope-Intercept Form of a Line

MA.PA.9.3: Identify functions as linear or nonlinear and contrast their properties from tables, graphs (including graphing technology when available), or equations

Absolute Value with Linear Functions

Linear Functions

MA.PA.10: Use symbolic forms to represent, model, and analyze mathematical situations

MA.PA.10.1: Translate among tables, graphs (including graphing technology when available), and equations involving linear relationships

Geometric Sequences

Introduction to Functions

Linear Functions

Points, Lines, and Equations

Slope-Intercept Form of a Line

MA.PA.10.2: Solve linear equations and inequalities with two variables using algebraic methods, manipulatives, or models

Absolute Value with Linear Functions

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Solving Algebraic Equations II

Solving Equations by Graphing Each Side

Solving Linear Inequalities in One Variable

Solving Two-Step Equations

Standard Form of a Line

Systems of Linear Inequalities (Slope-intercept form)

MA.PA.10.3: Use tables and graphs to represent and compare linear relationships

Absolute Value with Linear Functions

Arithmetic Sequences

Compound Interest

Introduction to Functions

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

MA.PA.10.4: Use the slope of a line to describe a constant rate of change

Cat and Mouse (Modeling with Linear Systems)

Compound Interest

Direct and Inverse Variation

MA.PA.11: Pose questions and collect, organize, and represent data to answer those questions

MA.PA.11.1: Design a study that compares two samples, collect data, and select the appropriate representation (double bar graph, back-to-back stem and leaf plot, parallel box and whisker plots, scatter plot) to compare the sets of data

Box-and-Whisker Plots

Correlation

Describing Data Using Statistics

Least-Squares Best Fit Lines

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Solving Using Trend Lines

Stem-and-Leaf Plots

Trends in Scatter Plots

MA.PA.11.2: Judge the validity of data based on the data collection method

Describing Data Using Statistics

Polling: City

Polling: Neighborhood

Populations and Samples

MA.PA.12: Interpret data using methods of exploratory data analysis

MA.PA.12.2: Analyze different representations of the same data to describe how representations can be used to skew a person's interpretation of the data

Box-and-Whisker Plots

Correlation

Stem-and-Leaf Plots

MA.PA.14: Understand and apply basic notions of chance and probability

MA.PA.14.2: Calculate probabilities for simple events under different relationships (e.g., inclusion, disjoint, complementary, independent, dependent, with replacement, without replacement)

Independent and Dependent Events

Theoretical and Experimental Probability

MA.PA.14.3: Use the Fundamental Counting Principle to calculate combinations and permutations

Binomial Probabilities

Permutations and Combinations

Correlation last revised: 5/10/2018