Derivita Content Updates - 2022

We are continuously adding to the Derivita Math Item Bank. Every Derivit-ized item is equipped with personalized feedback for the student, a fully worked-out solution, and 10's-100's of randomizations.

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Content Release Notes: 8/01/2022 - 8/25/2022

• Grade 6 - Section 4.1 - Grade 6 - Section 4.1
• Grade 6 - Section 4.3 - Interpreting Division Situations
• Grade 6 - Section 4.5 - Measurement Fraction Division
• Grade 6 - Section 4.6 - Using Diagrams to Find the Number of Groups
• Grade 6 - Section 4.8 - Partitive Fraction Division
• Grade 7 - Section 1.6 - Scaling and Area
• Grade 7 - Section 4.5 - Describing Increases and Decreases with Decimals
• Grade 8 - Section 1.12 - Congruent Polygons
• Grade 8 - Section 1.13 - Congruence
• Grade 8 - Section 1.14 - Alternate Interior Angles
• Grade 8 - Section 2.1 - Projecting and Scaling
• Grade 8 - Section 2.2 - Circular Grid
• Grade 8 - Section 2.5 - More Dilations
• Grade 8 - Section 2.7 - Similar Polygons
• Grade 8 - Section 2.8 - Similar Triangles
• Grade 8 - Section 2.9 - Side Length Quotients in Similar Triangles
• Grade 8 - Section 2.10 - Intro to Slope
• Grade 8 - Section 2.11 - Writing Equations for Lines
• Grade 8 - Section 2.12 - Using Equations for Lines
• Grade 8 - Section 4.5 - Solving a General Linear Equation
• Geometry Unit 2 Lesson 12 - Proofs about Quadrilaterals
• Geometry Unit 3 Lesson 4 - Dilating Lines and Angles
• Geometry Unit 3 Lesson 7 - Reasoning about Similarity with Transformations
• Geometry Unit 3 Lesson 8 - Proving Similarity
• Geometry Unit 3 Lesson 12 - Practice with Proportional Relationships

Content Release Notes: 7/01/2022 - 7/31/2022

• Grade 6 - Section 1.10 - Bases and Heights of Triangles
• Grade 8 - Section 1.3 - Grid Moves in the Plane
• Grade 8 - Section 1.6 - Describing Transformations
• Grade 8 - Section 1.7 - Defining Rigid Transformations
• Grade 8 - Section 1.8 - Rotation Patterns
• Grade 8 - Section 1.9 - Parallel Moves
• Grade 8 - Section 1.10 - Composing Figures with Rigid Transformations
• Grade 8 - Section 1.11 - Defining Same for Figures
• Grade 8 - Section 1.15 - Adding the Angles in a Triangle
• Grade 8 - Section 1.16 - Parallel Lines and the Angles in a Triangle
• Grade 8 - Section 2.3 - Dilations with no Grid
• Grade 8 - Section 2.4 - Dilations on a Square Grid
• Grade 8 - Section 2.6 - Similarity
• Grade 8 - Section 3.3 - Representing Proportional Relationships
• Geometry Unit 2 Lesson 4 - More Congruent Triangles
• Geometry Unit 2 Lesson 6 - Side-Angle-Side Triangle Congruence
• Geometry Unit 2 Lesson 7 - Angle-Side-Angle Triangle Congruence
• Geometry Unit 2 Lesson 13 - Proofs about Parallelograms
• Geometry Unit 2 Lesson 15 - Congruence for Quadrilaterals
• Geometry Unit 3 Lesson 1 - Scale Drawings
• Geometry Unit 3 Lesson 2 - Scale of the Solar System
• Geometry Unit 3 Lesson 3 - Measuring Dilations
• Geometry Unit 3 Lesson 5 - Splitting Triangle Sides with Dilations
• Geometry Unit 3 Lesson 6 - Connecting Similarity and Transformations
• Quantitative Reasoning - Modeling with Different Types of Regression

Content Release Notes: 6/01/2022 - 6/30/2022

• Grade 6 Section 1.1 - Tiling the Plane
• Grade 6 Section 1.2 - Finding Area by Decomposing and Rearranging
• Grade 6 Section 1.6 - Area of Parallelograms
• Grade 6 Section 1.7 - From Parallelograms to Triangles
• Grade 6 Section 1.8 - Area of Triangles
• Grade 6 Section 1.9 - Formula for the Area of a Triangle
• Grade 6 Section 1.11 - Polygons
• Grade 6 Section 1.12 - What is Surface Area?
• Grade 6 Section 1.13 - Polyhedra
• Grade 6 Section 1.14 - Nets and Surface Area
• Grade 6 Section 1.15 - More Nets, More Surface Area
• Grade 6 Section 1.16 - Distinguishing Between Surface Area and Volume
• Grade 6 Section 1.17 - Squares and Cubes
• Grade 6 Section 1.18 - Surface Area of a Cube
• Grade 6 Section 3.15 - Finding This Percent of That
• Grade 6 Section 3.16 - Finding the Percentage
• Grade 7 - Section 1.3 - Making Scaled Copies
• Grade 7 - Section 1.7 - Scale Drawings
• Grade 7 - Section 1.8 - Scale Drawings and Maps
• Grade 7 - Section 1.9 - Creating Scale Drawings
• Grade 7 - Section 1.10 - Changing Scales in Scale Drawings
• Grade 7 - Section 1.11 - Scales without Units
• Grade 7 - Section 1.12 - Units in Scale Drawings
• Grade 7 - Section 3.9 - Applying Area of Circles
• Grade 7 - Section 4.2 - Ratios and Rates with Fractions
• Grade 7 - Section 4.3 - Revisiting Proportional Relationships
• Grade 7 - Section 4.4 - Describing Increases and Decreases with Fractions
• Grade 8 - Section 1.2 - Describing Plane Figure Movements
• Grade 8 - Section 1.4 - Translations, Rotations, and Reflections
• Grade 8 - Section 1.5 - Coordinate Moves in the Plane
• Grade 8 - Section 3.10 - Calculating Slope
• Grade 8 - Section 3.13 - More Solutions to Linear Equations
• Grade 8 - Section 4.1 - Linear Equation Number Puzzles
• Geometry Unit 1 Lesson 14 - Defining Rotations
• Geometry Unit 1 Lesson 15 - Symmetry
• Geometry Unit 1 Lesson 16 - More Symmetry
• Geometry Unit 1 Lesson 20 - Transformations, Transversals, and Proof
• Geometry Unit 2 Lesson 1 - Congruency
• Geometry Unit 2 Lesson 5 - Points, Segments, and Zigzags
• Geometry Unit 2 Lesson 8 - Perpendicular Bisector Theorem
• Geometry Unit 2 Lesson 9 - Side-Side-Side Triangle Congruence
• Geometry Unit 2 Lesson 10 - Practicing Proofs
• Geometry Unit 2 Lesson 11 - Side-Side-Angle Ambiguity
• Geometry Unit 2 Lesson 14 - Angle Bisector
• Geometry Section 11.3 Part B - Areas of Polygons
• Geometry Section 11.4 Part B - Three-Dimensional Figures
• Geometry Section 11.5 Part B - Volumes of Prisms and Cylinders
• Geometry Section 11.6 part B - Volumes of Pyramids
• Geometry Section 11.7 Part B - Surface Areas and Volumes of Cones
• Geometry Section 11.8 Part A - Surface Areas and Volumes of Spheres
• Geometry Section 11.9 Part A - Surface Area of Prisms, Pyramids, and Cylinders

Content Release Notes: 5/01/2022 - 5/31/2022

• Grade 6 Section 3.6 - Interpreting Rates
• Grade 6 Section 3.8 - More About Constant Speed
• Grade 6 Section 3.10 - What are Percentages?
• Grade 6 Section 3.11 - Percentages and Double Number Lines
• Grade 6 Section 3.12 - Percentages and Tape Diagrams
• Grade 6 Section 3.13 - Benchmark Percentages
• Grade 6 Section 3.14 - Solving Percentage Problems
• Grade 7 Section 1.1 - What are Scaled Copies?
• Grade 7 Section 1.2 - Corresponding Parts and Scale Factors
• Grade 7 Section 3.1 - Measurements of Squares and Proportional Relationships
• Grade 7 Section 3.2 - Exploring Circumference
• Grade 7 Section 3.10 - Distinguishing Circumference and Area
• Geometry Unit 1 Lesson 5 - Perpendicular Lines and Angle Bisectors
• Geometry Unit 1 Lesson 6 - Parallel and Perpendicular Lines
• Geometry Unit 1 Lesson 7 - Squares
• Geometry Unit 1 Lesson 9 - Using Perpendicular Bisectors
• Geometry Unit 1 Lesson 11 - Defining Reflections
• Geometry Unit 1 Lesson 12 - Defining Translations
• Geometry Unit 1 Lesson 17 - Working with Rigid Transformations
• Geometry Unit 1 Lesson 22 - Creating Geometric Patterns

Content Release Notes: 3/23/2022 - 4/30/2022

• Grade 6 Section 2.8 - Unit Ratios
• Grade 6 Section 2.9 - Constant Speed
• Grade 6 Section 2.10 - Comparing Situations by Examining Ratios
• Grade 6 Section 2.11 - Representing Ratios with Tables
• Grade 6 Section 2.12 - Navigating a Table of Equivalent Ratios
• Grade 6 Section 2.13 - Tables and Double Number Line Diagrams
• Grade 6 Section 2.16 - Solving More Ratio Problems
• Grade 6 Section 3.1 - Units of Measurement
• Grade 6 Section 3.2 - Anchoring Units of Measurement
• Grade 7 Section 2..10 - Introducing Graphs with Proportional Relationships
• Grade 7 Section 2.11 - Interpreting Graphs of Proportional Relationships
• Grade 7 Section 2.14 -Reasoning about Proportional Relationships Using Different Representations
• Grade 8 Section 3.12 - Solutions to Linear Equations

Content Release Notes: 2/15/2022 - 3/22/2022

• Grade 6 Section 2.2 - Representing Ratio with Diagrams
• Grade 6 Section 2.3 - Ratios and Recipes
• Grade 6 Section 2.4 - Ratios and Color Mixtures
• Grade 6 Section 2.5 - Defining Equivalent Ratios
• Grade 6 Section 2.6 - Introducing Double Number Line Diagrams
• Grade 6 Section 2.7 - Creating Double Number Line Diagrams
• Grade 6 Section 3.3 - Measuring with Different-Sized Units
• Grade 6 Section 3.4 - Converting Units
• Grade 7 Section 2.1 - Comparing ratios in representations
• Grade 7 Section 2.2 - Introducing Proportional Relationships with Tables
• Grade 7 Section 2.3 - More about Constant of Proportionality
• Grade 7 Section 2.4 - Proportional Relationships and Equations
• Grade 7 Section 2.5 - Two Equations for Each Relationship
• Grade 7 Section 2.6 - Using Equations to Solve Problems
• Grade 7 Section 2.7 - Comparing Relationships with Tables
• Grade 7 Section 2.8 - Comparing Relationships with Equations
• Grade 7 Section 2.9 - Solving Problems about Proportional Relationships
• Grade 7 Section 3.5 - Circumferences and Wheels
• Grade 8 Section 3.1 - Understanding Proportional Relationships
• Grade 8 Section 3.2 - Graphs of Proportional Relationships
• Grade 8 Section 3.8 - Translating to y=mx+b
• Grade 8 Section 3.9 - Non-positive slope of lines
• HS Geometry Section 11.1 - Circumference and Arc Length
• HS Geometry Section 11.2 - Areas of Circles and Sectors
• HS Geometry Section 11.4 - Three-Dimensional Figures
• HS Geometry Section 11.5 - Volumes of Prisms and Cylinders
• HS Geometry Section 11.6 - Volumes of Pyramids
• HS Geometry Section 11.7 - Surface Areas and Volumes of Cones

Content Release Notes: 1/13/2022 - 2/14/2022



• HS Algebra 1 Section 10.3 - Graphing Cube Root Functions
• HS Algebra 2 Section 4.3 - Dividing Polynomials
• HS Algebra 2 Section 5.1 - nth Roots and Rational Exponents
• HS Algebra 2 Section 6.1 - Exponential Growth and Decay Functions
• HS Algebra 2 Section 6.3 - Logarithms and Logarithmic Functions
• HS Algebra 2 Section 6.4 - Properties of Logarithms
• HS Algebra 2 Section 8.1 - Parent Functions and Transformations
• HS Algebra 2 Section 10.2 - Angles and Radian Measure
• HS Algebra 2 Section 10.3 - Trigonometric Functions of Any Angle
• HS Algebra 2 Section 10.8 - Using Sum and Difference Formulas
• HS Algebra 2 Section 12.5 - Making Inferences from Sample Surveys
• HS Geometry Section 4.1 - Translations
• HS Geometry Section 4.5 - Dilations
• HS Geometry Section 7.4 - Properties of Special Parallelograms
• HS Geometry Section 9.2 - Special Right Triangles
• HS Geometry Section 11.1 - Circumference and Arc Length
• Secondary Math I Section 8.1 - Using Coordinates to Find Distance and Perimeter
• Secondary Math I Section 8.2 - Slope of Parallel and Perpendicular Lines
• Secondary Math I Section 8.3 - Using Coordinates to Prove Geometric Theorems
• Secondary Math I Section 8.4 - Writing Equations by Comparing Parallel Lines
• Secondary Math I Section 8.5 - Transformations of Functions
• Secondary Math I Section 8.6 - Translating Linear and Exponential Functions
• Secondary Math I Section 9.1 - Describing Data Distributions and Comparing Statistical Representations
• Secondary Math I Section 9.2 - Distributions and Comparing Two or More Data Sets
• Secondary Math I Section 9.3 - Two Way Frequency Tables
• Secondary Math I Section 9.4 - Using Relative Frequency Tables
• Secondary Math I Section 9.5 - Correlation Coefficients
• Secondary Math I Section 9.6 - Correlation and Lines of Best Fit
• Secondary Math I Section 9.7 - Using Linear Models of Data
• Secondary Math I Section 9.8 - Using Residual Plots
• Secondary Math I Section 9.9 - Correlation Coefficients, Residuals, and Linear Regression
• Secondary Math II Section 8.2 - General Form of a Circle
• Secondary Math II Section 8.3 - Writing Equation of a Circle Given Information
• Secondary Math II Section 8.4 - Derive the Equation of a Parabola Given a Focus and Directrix
• Secondary Math II Section 8.6 - Equation of a Parabola with a Vertical Directrix and Similar Parabolas
• Secondary Math II Section 9.1 - Conditional Probabilities and Sets
• Secondary Math II Section 9.2 - Multiple Representations of Conditional Probability
• Secondary Math II Section 9.3 - Sampling to Estimate Probabilities
• Secondary Math II Section 9.4 - Venn Diagrams and the Addition Rule
• Secondary Math II Section 9.5 - Independence of Events Using Two-Way Tables
• Secondary Math II Section 9.6 - Various Representations of Data to Determine Independence
• Secondary Math III Section 6.5 - Extending Cosine to a Function of Angle of Rotation
• Secondary Math III Section 6.6 - Introduction to Radian Measure
• Secondary Math III Section 6.7 - Radians and Proportionality
• Secondary Math III Section 6.8 - Redefining Radian Measure
• Secondary Math III Section 6.9 - Defining Sine and Cosine on the Unit Circle
• Secondary Math III Section 7.1 - Horizontal Shift of a Trigonometric Function
• Secondary Math III Section 7.2 - Using Trigonometric Graphs to Model Period Behavior
• Secondary Math III Section 7.3 - Using Trigonometric Graphs and Inverse Trigonometric Functions
• Secondary Math III Section 7.4 - Extending Tangent to a Function of Angle of Rotation
• Secondary Math III Section 7.5 - Introduction to Trigonometric Identities
• Secondary Math III Section 7.6 - Using Trigonometric Identities to Rewrite Expressions and Solve Equations
• Secondary Math III Section 8.1 - Examining Transformations of Functions
• Secondary Math III Section 8.2 - Predicting the Graph of a Sum or Product of Functions
• Secondary Math III Section 8.3 - Combining Functions Using Arithmetic to Model Complex Behavior
• Secondary Math III Section 8.4 - Combining Functions Using Composition to Model Complex Behavior
• Secondary Math III Section 8.5 - Extending Function Transformations by Composing and Decomposing Functions
• Secondary Math III Section 8.6 - Combining Functions Defined by Tables, Graphs, or Equations
• Secondary Math III Section 9.1 - Understanding Normal Distributions
• Secondary Math III Section 9.2 - Using Normal Distributions to Make Decisions
• Secondary Math III Section 9.3 - Introduction to z Scores
• Secondary Math III Section 9.4 - Comparing Normal Distribution Using z Scores
• Secondary Math III Section 9.5 - Understanding Different Methods of Sampling
• Secondary Math III Section 9.6 - Identifying Surveys, Observational Studies, and Experiments
• Secondary Math III Section 9.7 - Using Simulations to Estimate Probability
• Trigonometry Section 2.3 - Inverse Trigonometric Functions
• Trigonometry Section 4.3 - Polar Coordinates
• Trigonometry Section 3.5 - Solving Trigonometric Equations
• Precalculus Section 8.1 - The Circle and the Ellipse
• Precalculus Section 8.2 - The Hyperbola
• College Algebra Section 2.4 - Models and Applications
• College Algebra Section 3.1 - Functions and Function Notation
• College Algebra Section 7.5 - Matrices and Matrix Operations
• College Algebra Section 7.7 - Solving Systems with Inverses
• Elementary Algebra Section 8.1 - Simplifying Rational Expressions