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