# All Lessons and Printables

## Expect the Unexpected with Math®

This series of fun math programs is designed to build and reinforce important math skills for students. Developed by The Actuarial Foundation with Scholastic, the lessons and printables provide real-world math for students to become successful in the classroom and beyond. See below for links to all individual lessons and printables in the series:

- Exploring Expressions and Equations
- Adventures in Expressions and Equations
- Designing RATIOnally: Ratios and Unit Rate
- Diving Into the Number System: Absolute Value, Negative Numbers, and Irrational Numbers
- Think FUNCTIONally: Representing and Modeling With Functions
- Data Sampling: Making Effective Inferences
- Designing With Geometry
- Data Sampling: Making Effective Inferences
- Designing With Geometry
- Cultivating Data
- Plan, Save, Succeed!
- The Power of Probability
- Solving the Unknown with Algebra
- Setting the Stage with Geometry
- Conversions Rock
- Bars, Lines, & Pies
- Shake, Rattle, & Roll

NEW! Exploring Expressions and Equations (Grades 6–8)

**Skills addressed:** Key concepts of variables, writing and solving algebraic expressions, and scientific notation.

**Two-Part Lesson: Variables and Scientific Notation Worksheet 1, "Using Variables in Equations": PDF Worksheet 2, "Translating Word Problems Into Equations": PDFWorksheet 3, "Performing Operations With Scientific Notation": PDF**

NEW! Adventures in Expressions and Equations (Grades 6–8)

**Skills addressed:** Exponents and variables in expressions; graphs, tables, and equations relating independent and dependent variables; using properties to identify equivalent expressions; cube roots, square roots, and the Pythagorean theorem.

**Lesson 1: Exponents and Variables in Expressions**

Worksheet 1, "Ski Time!": PDF**Lesson 2: Graphs, Tables, and Equations Relating Independent and Dependent Variables**

Worksheet 2, "Surviving the Climb": PDF**Lesson 3: Using Properties to Identify Equivalent Expressions**

Worksheet 3, "Interview With a Skydiver": PDF

**Lesson 4: Cube Roots, Square Roots, and the Pythagorean Theorem**

Worksheet 4 "A Complex Course": PDF

### Designing RATIOnally: Ratios and Unit Rate (Grades 6–8)

**Skills addressed:** Key concepts of ratio and unit rate, including representing ratios using different notations as well as performing calculations involving ratios and unit rates.

**Two-Part Lesson: Ratios and Unit Rate Activity Sheet 1, "A Fresh, Clean Design": PDFActivity Sheet 2, "A First-Rate Design": PDFActivity Sheet 3, "Keeping It All in Proportion": PDF**

### Diving Into the Number System: Absolute Value, Negative Numbers, and Irrational Numbers (Grades 6–8)

**Skills addressed:** Key concepts of absolute value, negative numbers, and irrational numbers, including determining value and plotting on a number line.

**Lesson 1: Absolute Value and Ordering Rational Numbers Activity Sheet 1, "Under the Sea": PDF**

**Lesson 2: Adding and Subtracting with Negative NumbersActivity Sheet 2, "How Low Can You Go?": PDF**

**Lesson 3: Irrational NumbersActivity Sheet 3, "It’s OK to Be Irrational!": PDF**

### Think FUNCTIONally: Representing and Modeling With Functions (Grades 6–8)

**Skills addressed:** Key functions topics, including representing a function as a formula and a graph, as well as calculating rate of change and using it to graph and predict future outcomes.

**Lesson 1: Representing FunctionsActivity Sheet 1, "A Well-Functioning Research Mission": PDF**

**Lesson 2: Using Functions to Model Relationships Between QuantitiesActivity Sheet 2, "That’s Some Slippery Slope!": PDF**

** **

### Data Sampling: Making Effective Inferences (Grades 6–8)

**Skills addressed:** Key concepts of representative sampling, including creating and comparing samples and using proportional reasoning to make inferences.

**Interactive Lesson: Data Sampling—Making Effective Inferences Worksheet 1, "Taste Testing": PDF or Whiteboard-FriendlyWorksheet 2, "Product Planning": PDF or Whiteboard-FriendlyWorksheet 3, "Cooking Up Success": PDF or Whiteboard-Friendly**

### Designing With Geometry (Grades 6–8)

**Skills addressed:** Applying knowledge of transformations, congruence, scale drawings, characteristics of angles, and the Pythagorean Theorem to solve problems.

**Lesson 1: Polygons on the Coordinate Plane Worksheet 1, "Get Moving": PDF or Whiteboard-FriendlyLesson 2: Scale Drawings of Geometric Figures Worksheet 2, "An Appetite for Design": PDF or Whiteboard-FriendlyLesson 3: Finding Missing Angle Measurements Worksheet 3, "What's Your Angle?": PDF or Whiteboard-FriendlyLesson 4: Congruence and Transformations Worksheet 2, "Turn Up the Music": PDF or Whiteboard-FriendlyLesson 5: Applying the Pythagorean Theorem Worksheet 5, "Party on the Patio": PDF or Whiteboard-Friendly**

### Cultivating Data (Grades 7–8 & Advanced)

**Skills addressed:** Key data analysis concepts, including constructing and interpreting line plots, stem-and-leaf plots, box-and-whisker plots, and scatterplots with lines of best fit, as well as calculating measures of central tendency and expected value.

**Lesson 1: Representation of Statistical Information **

**Worksheets 1.1–1.3:**

**or Whiteboard-Friendly**

**Lesson 2: Constructing and Analyzing Scatterplots**

**Worksheets 2.1–2.3:**

**or Whiteboard-Friendly**

Advanced Lesson: Expected Value

Advanced Lesson: Expected Value

**Advanced Worksheet:**

**or Whiteboard-Friendly**

**Supplemental Lesson: Measures of Central Tendency**

Worksheets 6.1–6.3: PDF or Whiteboard-Friendly

Worksheets 6.1–6.3: PDF or Whiteboard-Friendly

### Plan, Save, Succeed! (Grades 6–8)

**Skills addressed:** Key financial literacy topics, including budgeting; calculating deductions and interest using percentages, fractions, or decimals; financial responsibility and decision making; planning and money management; saving and investing income; and managing credit and debt

**Lesson 1: Budget Basics **

**Worksheet, "Budget Basics":**

**or**

**Whiteboard-Friendly**

**Lesson 2: Gross and Net Pay**

**Worksheet, "Where Did the Money Go?":**

**or**

**Whiteboard-Friendly**

**Lesson 3: "Interest and Bank Accounts**

**Worksheet, "Making Money While You Sleep":**

**or**

**Whiteboard-Friendly**

**Bonus Worksheet: "Cash or Credit?": ****PDF**** or ****Whiteboard-Friendly**

### EXPANDED! The Power of Probability (Grades 6–8)

**Skills addressed:** Strategies to identify the likelihood of an event occurring; calculating simple and compound probability; sample and proportions**Lesson 1: Probability Basics **

**Worksheet:**

**Smartphone Test Prep (PDF)**

**Lesson 2: Simple Probability and Sampling**

**Worksheet:**

**A Call for Assistants (PDF)**

**Lesson 3: Compound Probability**

**Worksheet:**

**Math Masters (PDF)**

**Bonus Worksheet:**

**Mind Your Own Business**

### EXPANDED! Solving the Unknown with Algebra (Grades 6–8)

**Pre-algebra skills addressed:** Using formulas, solving for unknowns, and manipulation of equations**Lesson 1: Using Mathematical Models/Proportions**** Worksheet: **

**The Case of the Doubtful Distance (PDF)**

**Lesson 2: Analyzing Change/Growth and Decay Formula**

Worksheet:

Worksheet:

**A Case of Interest (PDF)**

Lesson 3: Functions and Formulas/Square Roots

Lesson 3: Functions and Formulas/Square Roots

**Worksheet:**

**The Case of the Screeching Tires (PDF)**

**Bonus Worksheets and Take-Home Activities**

### EXPANDED! Setting the Stage with Geometry (Grades 6–8)

**Skills addressed: **Strategies to identify the likelihood of an event occurring; calculating simple and compound probability; sample and proportions

**Lesson 1: Perimeter and Area of 2D Shapes**

Worksheet: **Geometry Works! The Stage Takes Shape (PDF)** **Lesson 2: Surface Area of 3D Shapes**

Worksheet: **That Should Cover It! (PDF)** **Lesson 3: Volume of 3D Shapes**

Worksheet: **Pack It Up! What Will Fit? (PDF)**

Bonus Worksheets and Take-Home Activities

### EXPANDED! Conversions Rock (Grades 6–8)

**Skills addressed:** Converting fractions, decimals, and percents

**Lesson 1: Fractions****Worksheet: ****Stardom: Just a Fraction Away (PDF)**** **

**Lesson 2: Decimals**

**Worksheet:**

**Rock to the Top with Decimals (PDF)**

**Lesson 3: Percents**

**Worksheet:**

**Show Me the Money with Percents (PDF)**

**Bonus Worksheets and Family Take-Home Activities**

**Bonus Worksheet 1 (PDF)**

**Bonus Worksheet 2 (PDF)**

**Bonus Worksheet 3 (PDF)**

**Family Take-Home Pages (main PDF)**

**Family Worksheet 1 (PDF)**

**Family Worksheet 2 (PDF)**

**Family Worksheet 3 (PDF)**

### Bars, Lines, & Pies (Grades 4–6)

**Skills addressed:** Bar graphs, line graphs, and pie charts

**Lesson 1: Peering into Pie Charts**** Worksheet: **

**Make a Paper Pie (PDF)**

**Lesson 2: Bar Graphs: A Statistical Skyline**

Worksheet:

Worksheet:

**Raising the Recycling Bar (PDF)**

**Lesson 3: Looking Through Line Graphs**

Worksheet:

Worksheet:

**Is That Trash You’re Wearing? (PDF)**

**Bonus Activity 1: Recycling by the Numbers: It’s Easy as Pie (PDF)**

**Bonus Activity 2: Water Conservation: What Are the Winning Numbers? (PDF)**

**Bonus Activity 3: Tap the Math Facts Behind Bottled Water (PDF)**

**Family Activity 1: Subtracting Waste = Adding Trees: Read All About It! (PDF)**

**Family Activity 2: Water: How Much Do You Consume? (PDF)**

**Family Activity 3: Energy Equations for the Future (PDF)**

### EXPANDED! Shake, Rattle, & Roll (Grades 6–8)

**Skills addressed:** Understanding probability through histograms, scatterplots, and tree diagrams

**Lesson 1: Shake It Up with Scatterplots ****Worksheet (PDF)**** **

**Lesson 2: Histograms Manage a Flood of Data**

**Worksheet (PDF)**

**Lesson 3: Tune In to Insurance**

**Worksheet (PDF)**

**Lesson 4: Branching Out with Tree Diagrams**

**Worksheet (PDF)**

**Bonus Activity 1: A Roof Over Our Heads (PDF)**

**Bonus Activity 2: A Map of Claims (PDF)**

**Bonus Activity 3: A Bridge to the Future (PDF)**

**Family Activity 1: Insuring for the Uncertain (PDF)**

**Family Activity 2: Banking on Inflation (PDF)**

**Family Activity 3: Planning for the Future (PDF)**