Mathematics Resources for Teachers and Students
General Resources
(Click, right-click, or control-click to download)
- 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
Mathematics Achievement Academies
Mathematics Achievement Academies (MAA) are specially designed summer sessions for students who will be enrolled in Algebra I in Grade 9, Geometry in Grade 10, and Algebra II in Grade 11. The curriculum is based on ACCLAIM best practices and is an initiative of California State University East Bay. This program supports students to become college-competitive. Each year a new cohort will begin this three-year sequence. Generous financial support for MAA has been provided by Chevron Corporation, AT&T, Bank of America, Union Bank of California, Lam Research, and California State University Chancellor's Office.
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
- Alum Rock Union Elementary School District
- Aromas-San Juan Unified School District
- Berkeley Unified School District
- Brentwood Union School District
- Byron Union School District
- Castro Valley Unified School District
- Dublin Unified School District
- Education For Change Public Charter Schools
- Elk Grove Unified School District
- Fremont Unified School District
- Hayward Unified School District
- Hollister School District
- Jefferson Union High School District
- John Swett Unified School District
- Knightsen School District
- Liberty Union High School District
- Livermore Valley Joint Unified School District
- Morgan Hill Unified School District
- Mt. Diablo Unified School District
- North County Joint Union School District
- Oakley Union Elementary School District
- Pleasanton Unified School District
- San Benito High School District
- San Leandro Unified School District
- San Lorenzo Unified School District
- Southside Elementary School District
- Student Programs and Services
- Sunol Glen Unified School District
- West Contra Costa Unified School District
- Welcome
- About Educational Services
- Staff Directory
- Who's Who in Ed Services
- Programs and Services
- Administrator Support
- After School Programs
- Arts-Visual and Performing
- Assessment and Accountability for Alameda County Schools
- English Language Learners
- Foreign Language Assistance Program Grants
- GATE
- Health
- History/Social Science
- Literacy
- Mathematics
- 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
- Berkeley Unified School District
- Byron Union School District
- Castro Valley Unified School District
- Dublin Unified School District
- Education for Change Public Charter Schools
- Elk Grove Unified School District
- Hayward Unified School District
- Hollister School District
- Jefferson Union High School District
- John Swett Unified School District
- Knightsen School District
- Liberty Union High School District
- Livermore Valley Joint Unified School District
- Morgan Hill Unified School District
- North County Joint Union School District
- Oakley Union Elementary School District
- Pleasanton Unified School District
- San Benito High School District
- San Leandro Unified School District
- San Lorenzo Unified School District
- Southside Elementary School District
- Student Programs and Services
- Sunol Glen Unified School District
- West Contra Costa Unified School District
- SB472 (formerly AB466) Mathematics Professional Development Partner County Office
- Acclaim Parents' Guide - Sample Page 2
- Physical Education
- Reading/Language Arts
- School Improvement/ Intervention
- School Safety
- Science
- Service-Learning
- Teacher Support
- Technology
- Youth Development at ACOE
- Training and Professional Development
- Annual Report of Services to Districts

K-12 Mathematics
Contact Information
Gretchen Muller
Math Professional Expert
510-670-4516
gmuller@acoe.org
fax 510-670-3516
Kamini Desai-Lasu
Administrative Secretary
510-670-7727
fax 510-670-3727
kdesai-lasu@acoe.org

