Shapes: Find Shapes Around the Room
Shapes: Count Sides and Corners
Shapes: Name the Circle, Square, and Triangle
Patterns: Build a Simple Pattern
Patterns: Hear the Repeat Again
Patterns: Notice What Comes Next
Sorting: Try a Different Grouping
Sorting: Match Objects by the Same Color
Sorting: Put Color and Size Together
Counting Order: Count Back from Ten to One
Counting Order: Reach Ten and Notice the Last Number
Counting Order: Keep Going Through the Middle Numbers
Counting Order: Say One Through Three Clearly
Counting: Say the Whole Count Again
Counting: Reach Ten in the Right Order
Counting: Keep the Numbers in Order Through Five
Counting: Start at One and Build the Sequence
Counting: Finish the Count at Ten
Counting: Jump Forward to Five
Counting: Keep the Count Going with Claps
Counting: Say One Number for Each Step
Box Plots Limit Claims About the Data
Box Plots Reveal Variability and Spread
Box Plots Show the Five Number Summary
Histograms Show Shape and Spread
Histograms Group Values Into Bins
Dot Plots and Frequency Tables Organize Values
Mode Needs Context and Careful Checking
Median Finds the Middle Value
Mean Describes the Center of the Data
Secret Codes Use Modulo Patterns
Modular Arithmetic Wraps Numbers Around the Line
Divisibility Patterns Show Quick Test Rules
Prime Factorization Checks the Rebuilt Number
Prime Factorization Builds a Factor Tree
Factor Pairs Multiply to Make the Number
Prime and Composite Examples Reveal the Pattern
Composite Numbers Have More Than Two Factors
Prime Numbers Have Only Two Factors
Simple Claims Still Need Careful Testing
Examples and Nonexamples Check Arguments
A Counterexample Can Disprove a Claim
Converse and Counterexample Need Checking
True and False Examples Test Conditions
If-Then Statements Have Two Parts
And and Or Combine Ideas Carefully
Negation Flips a Statement's Truth
Truth Values Start With Clear Statements
Graphs Help Choose the Better Buy
Data Tables Help Compare Prices
Bar Graphs Show Spending Patterns
Opportunity Cost Shows the Tradeoff
Wants Can Wait Until Later
Needs Are Required Before Wants
Saving for Goals Makes Choices Easier
Track Income and Expenses Over Time
A Budget Turns Money Into a Plan
Pattern Rules Help Build Equations
Word Situations Translate Into Equations
One-Step Equations Use Inverse Operations
Equations Show a Balanced Relationship
Expressions Use Variables and Numbers Together
Variables Name an Unknown Quantity
Evaluate Expressions Step by Step
Parentheses Change the Evaluation Path
Numerical Expressions Follow Operation Order
Rotation: Describe the Rule with Coordinates
Rotation: Make a Half Turn Around the Origin
Rotation: Make a Quarter Turn Clockwise
Reflection: Flip Across the x-Axis
Translation: Shift Points Up and Down
Translation: Shift Points Left and Right
Coordinate Plane: Read Coordinates Back Aloud
Coordinate Plane: Plot Ordered Pairs Carefully
Coordinate Plane: Find the Four Quadrants
Binary Patterns Support Coding Thinking
Binary Code Connects Numbers to Computers
Read Binary Numbers Back to Decimal
Binary Conversion Checks Each Place
Binary Table Tracks Each Power
Convert Decimal Numbers Into Binary
Binary Place Values Double Each Step
Binary Zeros and Ones Build Values
Binary Numbers Explain Two Computer Symbols
Unit Rates: Solve Travel Word Problems Carefully
Unit Rates: Compare Real-World Stories by Rate
Unit Rates: Find the Amount for One
Rate Tables: Explain the Unit Rate in Words
Rate Tables: Track Each Row and Compare
Rate Tables: Build the Pattern One Step at a Time
Speed: Choose the Missing Value in a Travel Rule
Speed: Read the Units Carefully Every Time
Speed: Distance Over Time Means Faster Motion
Soroban Mixed Complements Combine Both Operations
Soroban Ten Complement Connects Carry Borrow
Soroban Ten Complement Resets Place Values
Soroban Five Complement Strengthens Mental Math
Soroban Five Complement Handles Digit Moves
Soroban Five Complement Starts Small Additions
Soroban Addition and Subtraction First Steps
Soroban Finger Technique Builds Basic Moves
Soroban Place Value Beads Show Setup
Compare Numbers: Use Place Value First
Place Value Song: Read Digits from Left to Right
Place Value Song: Find the Base-Ten Places
Roman Numerals: Check Written Answers
Roman Numerals: Read Modern Years
Roman Numerals: Notice the Missing Zero
Roman Numerals: Use the Subtraction Rule
Roman Numerals: Build Small Numbers by Adding
Roman Numerals: Learn the I, V, and X Symbols
Predictions: Use Results to Guess Next Time
Data Tables: Read Patterns Across the Table
Data Tables: Organize Trial Results
Experimental Probability: More Trials Change Results
Experimental Probability: Record Results Carefully
Experimental Probability: Start a Small Trial
Probability: Fair Coins and the Probability Line
Probability: Measure Chance With Numbers
Probability: Use Likely and Unlikely Words