A Program of The Actuarial Foundation. Aligned with Common Core State and NCTM Standards.

What is an actuary? An actuary is an expert in statistics who works with businesses, governments, and organizations to help them plan for the future. Actuarial science is the discipline that applies math and statistical methods to assess risk.

# 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:

### 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": PDF
Worksheet 3, "Performing Operations With Scientific Notation": PDF

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": PDF
Activity Sheet 2, "A First-Rate Design": PDF
Activity 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 Numbers
Activity Sheet 2, "How Low Can You Go?": PDF
Lesson 3: Irrational Numbers
Activity 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 Functions
Activity Sheet 1, "A Well-Functioning Research Mission": PDF
Lesson 2: Using Functions to Model Relationships Between Quantities
Activity 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-Friendly
Worksheet 2, "Product Planning": PDF or Whiteboard-Friendly
Worksheet 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-Friendly
Lesson 2: Scale Drawings of Geometric Figures
Worksheet 2, "An Appetite for Design": PDF or Whiteboard-Friendly
Lesson 3: Finding Missing Angle Measurements
Worksheet 3, "What's Your Angle?": PDF or Whiteboard-Friendly
Lesson 4: Congruence and Transformations
Worksheet 2, "Turn Up the Music": PDF or Whiteboard-Friendly
Lesson 5: Applying the Pythagorean Theorem
Worksheet 5, "Party on the Patio": PDF or Whiteboard-Friendly

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: PDF or Whiteboard-Friendly
Lesson 2: Constructing and Analyzing Scatterplots
Worksheets 2.1–2.3: PDF or Whiteboard-Friendly

Supplemental Lesson: Measures of Central Tendency
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": PDF or Whiteboard-Friendly
Lesson 2: Gross and Net Pay
Worksheet, "Where Did the Money Go?": PDF or Whiteboard-Friendly
Lesson 3: "Interest and Bank Accounts
Worksheet, "Making Money While You Sleep": PDF 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)

### 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:
A Case of Interest (PDF)
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

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

Skills addressed: Converting fractions, decimals, and percents

### Bars, Lines, & Pies (Grades 4–6)

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

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

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

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