Mathematics Resources for Teachers and Students
General Resources
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- Adding Fractions with Unlike Denominators Example
- Adding Integers Sample Lesson
- Adding Integers Worksheet
- Adding/Subtracting Integers Worksheet
- Algebra I Key Vocabulary
- Basic Graphs of the Family of Linear Functions
- Basic Graphs of the Family of Quadratic Equations
- Circle Vocabulary - Paper plate activity
- Completing the Square Lesson Script
- Coordinate Grid Masters
- Derivation of Quadratic Formula Worksheet 1
- Derivation of Quadratic Formula Worksheet 2
- Factoring Flowchart
- Family of Functions Lesson
- FlipBook
- Hundreds Chart
- Jeopardy - teacher notes, student directions, and game board
- LCM Bubble Method – Language
- Number Line - Blank Worksheet
- Number Line - from –10 to 10 Worksheet
- Number Line - Integer Models Worksheet
- Quotient of Powers
- Subtraction - Models Worksheet
- Warm-up Template with 4 boxes
- Warm-up Template with 4 boxes
Lessons
(Click, right-click, or control-click to download)
Grade Pre-K
Grade K
Graphing in the Primary Grades
Geometric Shapes — Decomposing & Recomposing
Number Books
Number Recognition — Bar Models
Number Recognition — Book
Number Recognition — Decomposition
Number Recognition — Number Lines
Number Recognition — Side-By-Side
Number Recognition — Subitizing
Number Recognition — Ten Frames
Rounding
Rounding — Side-By-Side
Subtraction — Comparison Models
Grade 1
Fact Families
Geometric Shapes — Decomposing & Recomposing
Graphing in the Primary Grades
Number Recognition — Bar Models
Number Recognition — Book
Number Recognition — Decomposition
Number Recognition — Number Lines
Number Recognition — Side-By-Side
Number Recognition — Subitizing
Number Recognition — Ten Frames
Rounding
Rounding — Side-By-Side
Subtraction — Comparison Models
Grade 2
Adding Whole Numbers — Multiple Algorithms
Fact Families
Fractions — Equivalent, Ordering, Introduction to Addition/Subtraction
Geometric Shapes — Decomposing & Recomposing
Graphing in the Primary Grades
Multiplication — Using the Distributive Property
Multi-Step Word Problems
Number Recognition — Bar Models
Subtracting Whole Numbers — Multiple Algorithms<
Subtraction — Comparison Models
Grade 3
Adding Whole Numbers and Decimals — Multiple Algorithms
Area and Perimeter — Decomposition
Dividing Decimals
Fractions — Equivalent, Ordering, Introduction to Addition/Subtraction
Multiplication — One-Digit by Multi-Digit
Multiplication — Using the Distributive Property
Multiplying Whole Numbers — Generic Rectangle
Multi-Step Word Problems
Probability
Rounding and Estimating
Solving Equations — Algebra Tiles
Solving Equations — Bar Models
Solving Equations — Decomposition
Subtracting Whole Numbers — Multiple Algorithms
Grade 4
Adding Fractions with Unlike Denominators — Multiple Algorithms
Adding Whole Numbers and Decimals — Multiple Algorithms
Area and Perimeter — Decomposition
Dividing By Decomposing Fractions
Dividing Decimals
Fractions, Decimals, and Percents
Multiplication — Using the Distributive Property
Multiplying Multi-Digit Numbers — Multiple Algorithms
Multiplying Whole Numbers — Generic Rectangle
Multi-Step Word Problems
Probability
Rounding and Estimating
Solving Equations — Algebra Tiles
Solving Equations — Bar Models
Solving Equations — Decomposition
Subtracting Whole Numbers — Multiple Algorithms
Variables
Grade 5
Adding Mixed Numbers — Multiple Algorithms
Adding Whole Numbers and Decimals — Multiple Algorithms
Dividing By Decomposing Fractions
Dividing Decimals
Fractions, Decimals, and Percents
Integers — Adding
Integers — Subtracting
Interpreting Graphs — Real Life Graphs
Multiplying Multi-Digit Numbers — Multiple Algorithms
Multiplying Whole Numbers — Generic Rectangle
Multi-Step Word Problems
One-Step Equations — Multiple Algorithms
Order of Operations
Multi-Step Word Problems
Probability
Proportions
Rounding and Estimating
Solving Equations — Algebra Tiles
Solving Equations — Bar Models
Solving Equations — Decomposition
Solving Equations — Inverse Operations
Subtracting Mixed Numbers — Multiple Algorithms
Subtracting Negative Integers
Subtracting Whole Numbers — Multiple Algorithms
Variables
Grade 6
Bar Models — Rate, Percent, Equations
Dividing By Decomposing Fractions
Dividing Decimals
Integers — Adding
Integers — Subtracting
Interpreting Graphs — Real Life Graphs
Multi-Step Word Problems
One-Step Equations — Multiple Algorithms
Order of Operations
Proportions
Solving Equations — Bar Models
Solving Equations — Decomposition
Solving Equations — Inverse Operations
Solving Rational Equations — Multiple Algorithms
Subtracting Mixed Numbers — Multiple Algorithms
Subtracting Negative Integers
Grade 7
Bar Models — Rate, Percent, Equations
Dividing Decimals
Graphing Family of Functions
Interpreting Graphs — Real Life Graphs
One-Step Equations — Multiple Algorithms
Order of Operations
Proportions
Slope of Lines
Solving Equations with Variables on Both Sides
Solving Rational Equations — Multiple Algorithms
Subtracting Mixed Numbers — Multiple Algorithms
Subtracting Negative Integers
Zero and Negative Exponents
Algebra 1
Mixture Problems
Rate Problems — using bar models
Solving Equations with Variables on Both Sides
Solving Inequalities
Solving Rational Equations — Multiple Algorithms
Solving a System — Substitution
Three Forms of an Equation of a Line
Zero and Negative Exponents — Exponential Functions
Geometry
Algebra II
Rational Functions
Sequences — Arithmetic
Solving a System — Substitution
Zero and Negative Exponents — Exponential Functions
Calculus
Flash Presentations
- Absolute Value Equalities and Inequalities
- Area of a Circle
- Area Models of Multiplication Through the Grades
- Converting: Fractions and Decimals
- Decomposition Examples
- Distance Formula
- Distributive Property
- Division Algorithms
- Expressions and Equations
- Family of Functions PowerPoint Presentations
- Fractions - Adding Fractions with Unlike Denominators Using Pattern Blocks
- Fractions - Adding Fractions with Unlike Denominators
- Fractions - Dividing Fractions
- Fractions - Multiplying Fractions
- Fractions - Simplifying
- Factoring - GCF, Trinomial, Difference of Squares, Flowchart
- Factoring the Difference of Cubes
- Factoring the Sum of Cubes
- Integers - Adding
- Integers - Subtracting
- LCM - "Bubble Method"
- Multiplying Integers
- Negative Exponents
- Non-Linear Inequalities
- Percent Problems: Direct Translation & Bar Models
- Properties of Exponents
- Quadratics - Completing the Square, Quadratic Formula, and Graphing
- Quadrilaterals
- Ratios, Rates, and Proportions
- Real Number Line
- Real Numbers -- Venn Diagram
- Sieve of Erathosthenes
- Surface Area – Cylinder and Sphere
- Systems of Equations
- Volume – Triangular Prism, Cylinder, and Cone
- Word Problems – Using Bar Models to Develop Relational Thinking
"Students Teaching Students Mathematics" Video Series
"Students Teaching Students Mathematics" has been developed collaboratively through a university-county-district-school partnership. Students in the video series come from mathematics intervention classes at Winton Middle School in the Hayward Unified School District. The video production project promotes peer-to-peer mathematics teaching and learning and provides access to an online video library of mathematics lessons taught by students in English, Spanish, and Tagalog.
- Square Roots - English Version
- Square Roots - Spanish Version
- Ordering Fractions - English Version
- Ordering Fractions - Spanish Version
- Adding Unlike Fractions - English Version
- Adding Unlike Fractions - Spanish Version
- Dividing Powers with the Same Base - English Version
- Dividing Powers with the Same Base - Spanish Version
- Graphing Linear Equations - English Version
- Graphing Linear Equations - Spanish Version
- Multiply Powers with the Same Base - English Version
- Multiply Powers with the Same Base - Spanish Version
- Multiply Powers with the Same Base - Tagalog Version
District Resources
- Alameda Unified School District
- Albany Unified School District
- Berkeley Unified School District
- Castro Valley Unified School District
- Dublin Unified School District
- Fremont Unified School District
- Hayward Unified School District
- Livermore Valley Joint Unified School District
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- San Leandro Unified School District
- San Lorenzo Unified School District
- Student Programs and Services
- Sunol Glen Unified School District
- Welcome
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- Energy Efficiency
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- Foreign Language Assistance Program Grants
- GATE
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- History/Social Science
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- Mathematics
- ACOE Mathematics Consortium
- Acclaim Parents' Guide - Sample Page 1
- Common Core State Standards in Mathematics Resources
- K-12 Mathematics Resources for Teachers
- Alameda Unified School District
- Albany Unified School District
- Alum Rock Union School District
- Aromas-San Juan Unified School District
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- Education for Change Public Charter Schools
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K-12 Mathematics
Contact Information
Alicia Gonzalez
Math Coordinator
agonzalez@acoe.org
Aaron Tigerino
Math Coordinator
atigerino@acoe.org
Kamini Desai-Lasu
Administrative Secretary
510-670-7727
fax 510-670-3727
kdesai-lasu@acoe.org

