Learning List says, “MathImagine is 95% Aligned!”

Numbers, Operations, and Quantitative Reasoning

• Use Whole Number Place Value to Billions
• Use Decimal Place Value to Thousandths
• Generate Equivalent Fractions in Problem Situations
• Generate Mixed Numbers or Improper Fractions
• Compare Two Fractional Quantities in Problem Situations
• Use Models to Relate Decimals to Fractions
• Add and Subtract Whole Numbers and Decimals
• Multiply Whole Numbers in Problem Situations
• Divide Whole Numbers in Problem Situations
• Identify Common Factors
• Model Adding and Subtracting Fractions with like Denominators
• Use Rounding and Compatible Numbers to Estimate Solutions
  

Patterns, Relationships, and Algebraic Reasoning

• Describe Relationships between Sets of Data in Graphic Organizers
• Identify Prime and Composite Numbers using Pictures, Models, and Patterns
• Select and Use Diagrams and Equations to Represent Situations
  

Geometry and Spatial Reasoning

• Identify Essential Attributes of 2 and 3 Dimensional Figures
• Sketch and Identify the Transformations on a Quadrant I Grid
  

Concepts and Uses of Measurement

• Perform Simple Conversions
• Connect Models to Formula for Perimeter, Area, Volume
• Select and Use Appropriate Units and Formulas to Measure
• Solve Problems involving Changes in Temperature
• Solve Problems involving Elapsed Time
  

Probability and Statistics

• Use Fractions to Describe Results of an Experiment
• Use Experimental Results to make Predictions
• List all Possible Outcomes of a Probability Experiment
• Use Tables of Related Number Pairs to Make Line Graphs
• Describe Characteristics of Data such as Median, Mode and Range
• Graph Given Data using Appropriate Graphical Representation
  

Numbers, Operations, and Quantitative Reasoning

• Compare and Order Non-Negative Rational Numbers
• Generate Equivalent Forms of Rational Numbers
• Use Integers to Represent Real-Life Situations
• Write Prime Factorizations using Exponents
• Identify Factors of a Positive Integer, Common Factors and GCFs
• Identify Multiples of a Positive Integer, Common Multiples and LCMs
• Model Addition and Subtraction Situations Involving Fractions
• Use Addition and Subtraction to Solve Problems
• Use Multiplication and Division of Whole Numbers to Solve Problems
• Estimate and Round to Approximate Reasonable Results and Solve Problems
• Use Order of Operations to Simplify Whole Number Expressions

Patterns, Relationships, and Algebraic Reasoning

• Use Ratios to Describe Proportional Situations
• Represent Ratios and Percents with Models, Fractions, and Decimals
• Use Ratios to Make Predictions in Proportional Situations
• Use Tables and Symbols to Represent Proportional and Other Situations
• Use Tables of Data to Generate Formulas
• Formulate Equations from Problem Solving Situations Described by Linear Relationships

Geometry and Spatial Reasoning

• Use Angle Measurements to Classify Angles
• Identify Relationships Involving Angles in Triangles and Quadrilaterals
• Describe the Relationship between Radius, Diameter, and Circumference of a Circle
• Locate and Name Points on a Coordinate Plane

Concepts and Uses of Measurement

• Estimate Measurements and Evaluate Reasonableness of Results
• Select and Use Appropriate Units, Tools, or Formulas to Measure and to Solve Problems
• Measure Angles
• Convert Measures within the Same Measurement System

Probability and Statistics

• Construct Sample Spaces using Lists and Tree Diagrams
• Find the Probabilities of a Simple Event and Its Complement
• Select and Use an Appropriate Representation for Presenting and Displaying Different Graphical Representations
• Identify Mean, Median, Mode and Range of a Set of Data
• Sketch Circle Graphs to Display Data
• Solve Problems by Collecting, Organizing, Displaying, and Interpreting Data

Numbers, Operations, and Quantitative Reasoning

• Compare and Order Rational Numbers
• Convert between Fractions, Decimals, Whole Numbers and Percents
• Represent Squares and Square Roots using Geometric Models
• Represent Fraction and Decimal Multiplication and Division with Models, Words and Numbers
• Use Addition, Subtraction, Multiplication and Division to Solve Fraction and Decimal Problems
• Use Models to Add, Subtract, Multiply and Divide Integers
• Use Division to Find Unit Rates and Ratios in Proportional Relationships
• Simplify Numerical Expressions involving Order of Operations and Exponents
• Select and Use Appropriate Operations to Solve Problems
• Determine the Reasonableness of a Solution to a Problem

Patterns, Relationships, and Algebraic Reasoning

• Estimate and Find Solutions to Application Problems involving Percent
• Estimate and Find Solutions to Application Problems involving Proportional Relationships
• Generate Formulas involving Unit Conversions, Perimeter, Area, Circumference, Volume and Scaling
• Graph Data to Demonstrate Relationships in Familiar Concepts
• Use Words and Symbols to Describe the Relationship between the Terms in an Arithmetic Sequence and their Positions in the Sequence
• Use Concrete and Pictorial Models to Solve Equations and Use Symbols to Record the Actions
• Formulate Problem Situations when Given a Simple Equation and Formulate an Equation when given a Problem Situation

Geometry and Spatial Reasoning

• Use Angle Measurements to Classify Pairs of Angles as Complementary or Supplementary
• Use Properties to Classify Triangles and Quadrilaterals
• Use Properties to Classify Three Dimensional Figures
• Use Critical Attributes to Define Similarity
• Locate and Name Points on a Coordinate Plane using Ordered Pairs of Integers
• Graph Reflections Across an Axis and Graph Translations on a Coordinate Plane
• Sketch Three-Dimensional Figures when Given the Top, Side and Front Views
• Make a Net of the Surface Area of a Three-Dimensional Figure
• Use Geometric Concepts and Properties to Solve Problems in Fields such as Art and Architecture

Concepts and Uses of Measurement

• Estimate Measurements and Solve Application Problems involving Length and Area of Polygons and Other Shapes
• Connect Models for Volume of Triangular and Rectangular Prisms and Cylinders to Formulas of Triangular and Rectangular Prisms and Cylinders
• Estimate Measurements and Solve Application Problems involving Volume of Triangular and Rectangular Prisms and Cylinders

Probability and Statistics

• Construct Sample Spaces for Simple or Composite Events
• Find the Probability of Independent Events
• Select and Use an Appropriate Representation for Presenting and Displaying Relationships among Collected Data
• Make Inferences and Convincing Arguments Based on an Analysis of Given or Collected Data
• Describe a Set of Data using Mean, Median, Mode and Range
• Choose among Mean, Median, Mode or Range to Describe a Set of Data and Justify the Choice for a Particular Situation

Numbers, Operations, and Quantitative Reasoning

• Compare and Order Rational Numbers
• Select and Use Appropriate Forms of Rational Numbers to Solve Real-Life Problems
• Approximate the Value of Irrational Numbers as They Arise from Problem Situations
• Express Numbers in Scientific Notation, including Negative Exponents, in Appropriate Problem Situations
• Select Appropriate Operations to Solve Problems involving Rational Numbers
• Use Appropriate Operations to Solve Problems involving Rational Numbers
• Evaluate a Solution for Reasonableness
• Use Multiplication by a Constant Factor (Unit Rate) to Represent Proportional Relationships

Patterns, Relationships, and Algebraic Reasoning

• Compare and Contrast Proportional and Non-Proportional Linear Relationships
• Estimate and Find Solutions to Application Problems involving Percents and Other Proportional Relationships
• Generate a Different Representation of Data Given Another Representation of Data
• Predict and Find Solutions to Application Problems using Tables, Graphs and Equations
• Find and Evaluate an Algebraic Expression to Determine Any Term in an Arithmetic Sequence

Geometry and Spatial Reasoning

• Generate Similar Figures using Dilations including Enlargements and Reductions
• Graph Dilations, Reflections, and Translations on a Coordinate Plane
• Draw Three-Dimensional Figures from Different Perspectives
• Use Geometric Concepts and Properties to Solve Problems in Fields such as Art and Architecture
• Use Pictures or Models to Demonstrate the Pythagorean Theorem
• Locate and Name Points on a Coordinate Plane Using Ordered Pairs of Rational Numbers

Measurement

• Find Lateral and Total Surface Area of Prisms, Pyramids, and Cylinders using Models and Nets
• Connect Models to Formulas for Volume of Prisms, Cylinders, Pyramids, Spheres and Cones
• Estimate Measurements and Use Formulas to Solve Application Problems involving Lateral and Total Surface Area and Volume
• Use the Pythagorean Theorem to Solve Real-Life Problems
• Use Proportional Relationships in Similar Two-Dimensional Figures or Similar Three-Dimensional figures to Find Missing Measurements
• Describe the Resulting Effects on Perimeter and Area when Dimensions of a Shape are Changed Proportionally
• Describe the Resulting Effect on Volume when Dimensions of a Solid are Changed Proportionally

Probability and Statistics

• Find the Probabilities of Dependent and Independent Events
• Use Theoretical Probabilities and Experimental Results to Make Predictions and Decisions
• Select the Appropriate Measure of Central Tendency or Range to Describe a Set of Data and Justify the Choice for a Particular Situation
• Draw Conclusions and Make Predictions by Analyzing Trends in Scatterplots
• Select and Use an Appropriate Representation for Presenting and Displaying Relationships among Collected Data
• Evaluate Methods of Sampling to Determine Validity of an Inference made from a Set of Data
• Recognize Misuses of Graphical or Numerical Information and Evaluate Predictions and Conclusions based on Data Analysis

Functional Relationships

• Describe Dependent and Independent Relationships
• Use Data Sets to Determine Functional Relationships
• Describe Functional Relationships and Write Equations and Inequalities
• Represent Relationships using Models, Tables, Graphs, Diagrams, Verbal Descriptions, Equations, and Inequalities
• Interpret and make Inferences from Functional Relationships

Properties and Attributes of Functions

• Identify Linear and Quadratic Parent Functions
• Identify and Determine Reasonableness of Domain and Range Values
• Interpret Situations in Terms of Graphs
• Organize Data, Interpret Scatterplots, Model, Predict, and Make Decision
• Use Symbols to Represent Unknowns and Variables\Look for Patterns and Represent Generalizations Algebraically
• Find Function Values, Simplify Polynomial Expressions, Solve Equations, and Factor
• Use Commutative, Associative, Distributive Properties to Simplify Algebraic Expressions

Linear Functions

• Determine if a Function is Linear
• Determine Domain and Range of Linear Functions
• Use Algebraic, Tabular, Graphical, or Verbal Descriptions of Linear Functions
• Determine Slopes of Linear Functions
• Interpret the Meaning of Slope and Intercepts
• Investigate Parameter Changes on the Graph of y = mx + b
• Write Equations of Lines
• Determine Intercepts of Linear Functions
• Predict the Effects of Changing Slope and y-intercept in Applied Situations
• Relate Direct Variation to Linear Functions

Linear Equations and InequalitiesAnalyze and Formulate Linear Equations and Inequalities

• Solve Linear Equations and Inequalities using Various Methods
• Determine Reasonableness of Solutions to Linear Equations and Inequalities
• Formulate Systems of Linear Equations
• Solve Systems of Linear Equations using Various Methods
• Determine Reasonableness of Solutions to Systems of Linear Equations

Quadratic and Other Nonlinear Functions

• Determine Domain and Range of Quadratic Functions
• Investigate the Effects of Changes in a on the graph of y = ax² + c
• Investigate the Effects of Changes in c on the graph of y = ax² + c
• Analyze Graphs of Quadratic Equations and Draw Conclusions
• Solve Quadratic Equations using Various Methods
• Relate the Solutions of Quadratic Equations to the Roots of their Functions
• Use and Apply the Laws of Exponents
• Analyze and Represent Situations Involving Inverse Variation
• Analyze and Represent Situations Involving Exponential Growth and Decay

Geometric Structure

• Recognize the historical development of geometric systems
• Compare and contract the structures of Euclidean and non-Euclidean geometries
• Use constructions to explore attributes of geometric figures and make conjectures about their relationships
• Make conjectures about angles, lines, polygons, circles, and three-dimensional figures
• Determine the validity of conditional statement, its converse, inverse, and contrapositive
• Construct and justify statements about geometric figures and their properties
• Use logical reasoning to prove statements & find counter examples to disprove statements that are false
• Use inductive reasoning to formulate a conjecture
• Use deductive reasoning to prove a statement

Geometric Patterns and Representations

• Select an appropriate representation to solve problems [concrete, pictorial, graphical, verbal, or symbolic]
• Use numeric and geometric patterns to develop algebraic expressions
• Use numeric and geometric patterns to make generalizations about geometric properties
• Use properties of transformations and their compositions to connect mathematics and the real world
• Identify and apply patters from right triangles to solve meaningful problems

Dimensionality and the Geometry of Location

• Describe and draw the intersection of a given plane with various three-dimensional geometric figures
• Use nets to represent and construct three-dimensional geometric figures
• Use orthographic and isometric views of three-dimensional geometric figures and solve problems
• Use one- and two-dimensional coordinate systems to represent points, lines, rays, line segments, and figures
• Use slopes and equations of lines to investigate geometric relationships
• Derive and use formulas involving length, slope, and midpoint

Congruence and the Geometry of Size

• Find areas of regular polygons, circles, and composite figures
• Find areas of sectors and arc lengths of circles using proportional reasoning
• Derive, extend, and use the Pythagorean Theorem
• Find surface areas and volumes of prisms, pyramids, spheres, cones, cylinders, and composites of these figures in problem situations
• Use area models to connect geometry to probability and statistics
• Use conversions between measurement systems to solve problems in real-world situations
• Formulate and test conjectures about properties of:
  • parallel and perpendicular lines and their composite parts
  • polygons and their composite parts and their composite parts
  • circles and the lines that intersect them and their composite parts
• Analyze the characteristics of polyhedra and other three-dimensional figures and their composite parts
• Use congruence transformations to make conjectures and justify properties of geometric figures
• Justify and apply triangle congruence relationships

Similarity and the Geometry of Shape

• Use and extend similarity properties and transformations
• Use ratios to solve problems involving similar figures
• Develop, apply, and justify triangle similarity relationships [right triangle & trigonometric ratios, and Pythagorean triples]
• Describe the effect on perimeter, area, and volume when one or more dimensions of a figure are changed and apply it to solving problems

Under Development – coming soon