**LEARNING RESOURCES**

From the above pulldown menu > Resources

- Support Sheets with Solutions
- Frameworks for Learning (with answers)

**INTERACTIVE VIDEOS **

Click the links below, or go to www.umathx.com and from the numbered steps:

- in #6: 5 UMathX Lesson Videos
- in #7: UMathX Training Video .. “Teach, don’t Tell – Hybrid Strategies from SURVIVE to THRIVE in 2021 .. 12 concepts (Presenting at OAME Conference in May 2021) … Plus Frameworks training video

**PREVIOUS VERSIONS of UMathX FOR K to 10 **

For immediate access to content, we are making available an older version of the software for installation on Windows computers. To access, click on the links below to download and install one or both of the program files, using the serial number listed with the link. Please note, there is no need to fill in the Name and Organization fields before entering the Serial Number.

**SPECIFIC CONCEPTS AND LESSONS**

others available on request at [email protected]

**CONCEPT 1: SUBTRACT 3 DIGIT# CONCRETELY **

** BY VIDEO – **ITEM 7 TEACH DO NOT TELL .. AT TIME 6:18** **

** BY SUPPORT SHEETS**

Whole Numbers & Integers

- Subtracting Integers (with answers) … section 2

- Subtracting Integers (with answers) … section 2

** BY FRAMEWORKS FOR LEARNING **

- Subtract 3 Digit Numbers Concretely with Regrouping #3

** BY PROGRAM DOWNLOAD – Understanding Numeration 2008 for Windows**

Operations

- item 23 .. Subt 3 digit # Concretely
- item 4 .. Subt with Regrouping #3

**CONCEPT 2: SUBTRACT FRACTIONS **

** BY SUPPORT SHEETS**

Fractions

- section 9 .. Subtracting with Answers

** BY FRAMEWORKS FOR LEARNING **

- Subtracting Fractions – The Lowest Common Denominator
- Subtracting Fractions on a Number Line

** BY PROGRAM DOWNLOAD – Understanding Math 2008 for Windows **

Fractions

- item 9 .. Subtracting Fractions
- Pattern Blocks & The Clock & Fraction Strips
- Percent Strips and Decimal Strips
- Subtracting Fractions on a Number Line
- Problem Solving

- item 9 .. Subtracting Fractions

**CONCEPT 3: EQUATION OF A LINE **** **

**BY VIDEO **– item 6 .. Equation of a Straight Line – The Walker

**BY SUPPORT SHEETS **

Graphing

- Section 6 .. Linear Relations (with Answers)
- Section 7 .. Slope of a Line
- Section 8 .. Equation of a Straight Line

**BY FRAMEWORKS FOR LEARNING **

- Linear Relations .. Elastic .. Tiered Lessons (with Answers)
- Linear Relations .. Introduction
- Linear Relations .. Taxi

**BY PROGRAM DOWNLOAD – Understanding Math 2008 for Windows**

Graphing

- Linear Relations
- Slope of a Line
- Equation of a Straight Line

**CONCEPT 4: **** FRACTION INTRODUCTION **

**BY VIDEO** – ITEM 7 TEACH DO NOT TELL .. AT TIME 7:00 to 9:00

**BY SUPPORT SHEETS **

Fractions

- Section 1.. The Meaning of Fractions (with answers)
- Section 2.. Products, Multiples, Factors
- Section 3 .. Equivalent Fractions

**BY FRAMEWORKS FOR LEARNING **

- Fraction Introduction – Pattern Blocks -1
- Fraction Introduction – Pattern Blocks – 2
- Fraction Introduction – Pattern Blocks – 3
- Fraction of a Set
- Fraction Parts of a Tangram
- Fraction Strips – Concept 1
- Fraction Strips – Concept 2
- Fraction Strips – Concept 3
- Fraction – Part of a Whole- One Half
- Fraction – Part of a Whole – One Third
- Fraction – Part of a Whole – One Quarter
- Fractions of a Square
- Fractions on a Number Line
- Equivalent Fractions .. many topics

**BY PROGRAM DOWNLOAD – Understanding Math 2008 for Windows**

Fractions

- The Meaning of Fractions
- from Fractions in the News -> Estimation

- Equivalent Fractions
- from Introduction -> A Challenge

- The Meaning of Fractions

**CONCEPT 5: **** DECIMALS **** **

**BY SUPPORT SHEETS **

Fractions

- Section 5 .. Introduction to Decimals (with Answers)
- Introduction to Place Value to Rounding Decimals
- Section 14 .. Add and Subt Decimals
- Section 15 .. Multiply and Divide Decimals

**BY FRAMEWORKS FOR LEARNING **

- Decimals on a Number Line
- Decimals Around Us – Length in Metric
- Decimal Addition – Right to Left – 1,2,3
- Decimal Addition – Tenths – The Pencil
- Decimal Addition – Hundredths – The Town
- Decimal Subtraction – Pencil, Field
- Decimal Notation

**BY PROGRAM DOWNLOAD – Understanding Math 2008 for Windows **

Fractions

- Introduction to Decimals
- Addition & Subtraction of Decimals
- Multiplication & Division of Decimals

**CONCEPT 6: **** Multiply 2 Digit # by 2 Digit # (Partial Products) **

**BY VIDEO **– item 6 .. Multiply Partial Products** **

**BY FRAMEWORKS FOR LEARNING **

- Multiply Two 2-Digit # by Partial Product (3 tiers)

- Multiply Two 2-Digit # by Partial Product (3 tiers)

**BY PROGRAM DOWNLOAD – Understanding Math 2008 for Windows **

Whole Numbers & Integers

- Multiplying and Dividing Whole #
- Multiplying by a 2 digit Multiplier
- With Blocks .. Ex 1, 2, 3
- Without Blocks .. Ex 4, 5, 6

**CONCEPT 7: **** PATTERNING **** **

**BY VIDEO** – item 6 .. Patterning – Words, Pictures, Symbols

**BY SUPPORT SHEETS **

Algebra

- Section 3 ..Patterns, Patterns, Patterns .. (with Answers)
- Section 4 ..Patterns, Formulas, Substitution

**BY FRAMEWORKS FOR LEARNING **

- Patterns to Formulas (with Answers) Patterns with Tiles .. Chart, Equation, Graph
- Patterns with Tiles Part 2
- Patterns with Toothpicks

**BY PROGRAM DOWNLOAD – Understanding Math 2008 for Windows**

Algebra

- Patterns, Patterns, Patterns
- Patterns, Formulas, Substitution

**CONCEPT 8: **** ADDITION with Regrouping **

**BY VIDEO **– item 6 .. Addition with Regrouping

**BY FRAMEWORKS FOR LEARNING**

- Add 2 Digit # Concretely without Regrouping (with Answers)
- Add 2 Digit # Concretely with Regrouping
- Add 3 Digit # Concretely with Regrouping

**BY PROGRAM DOWNLOAD – Understanding Numeration 2008 for Windows**

Operations

- Add 2 Digit Numbers … Concretely
- Add 2 Digit Numbers … Abstractly
- Add 3 Digit Numbers … Concretely
- Add 3 Digit Numbers … Abstractly

### We welcome you to try 5 Lesson Sets which Remediate with Understanding.

**CONCEPT 9: Lessons – Place Value – Secret of Our Numbers for elementary**

**CONCEPT 10: Lesson – Visualize Fractions with Pattern Blocks, Licorice & JuJubes for elementary**

**CONCEPT 11: Lesson – Presenting Data – Tally Chart, Line Graph, Bar Graph for elementary**

**CONCEPT 12: Lessons – RATIO MIX of Cranberry & Gingerale for middle**

**CONCEPT 13: Lesson & Answer Key – Ratios … Tape Diagrams for middle**

**CONCEPT 14: Lessons – Adding Fractions with Understanding**

**CONCEPT 15: Lessons – Line Graph Introduction – Creation – Interpretation**