Mathematics
Mathematics in Jeffco
Jeffco mathematics teaching and learning embraces a problem-based approach, grounded in the belief that every student possesses the potential to master grade-level mathematics. In our program, students learn math by doing math.
Teachers invite all students to contribute to mathematical learning, center student thinking, and respond as students develop conceptual understanding and essential mathematical skills.
Podcast: Dr. Jenny Bay-Williams, Productive Ways to Build Fluency with Basic Facts
- Kindergarten Math Curriculum
- First-Grade Math Curriculum
- Second-Grade Math Curriculum
- Third-Grade Math Curriculum
- Fourth-Grade Math Curriculum
- Fifth-Grade Math Curriculum
- Sixth-Grade Math Curriculum
- Accelerated Sixth Grade
- Seventh-Grade Math Curriculum
- Accelerated Seventh
- Eighth-Grade Math Curriculum
- Algebra 1 Curriculum
- Geometry Curriculum
- Algebra 2 Curriculum
- SAT PREP
Kindergarten Math Curriculum
The big ideas in kindergarten include: representing and comparing whole numbers, initially with sets of objects; understanding and applying addition and subtraction; and describing shapes and space. More time in kindergarten is devoted to numbers than to other topics.
End of Year Fluency Expectation: Add and Subtract within 5
Practice Digital Centers: Roll and Add Dots Addition Expressions
The mathematical work for kindergarten is partitioned into 8 units:
Unit | Resources | Family Support Videos |
---|---|---|
1 |
Math in Our World (English) |
Unit 1 Video |
2 | Numbers 1–10 (English) Números del 1 al 10 (Spanish) |
Unit 2 Video |
3 | Flat Shapes All Around Us (English) Figuras planas por todas partes (Spanish) |
Unit 3 Video |
4 | Understanding Addition and Subtraction (English) Comprendamos la suma y la resta (Spanish) |
Unit 4 Video |
5 | Composing and Decomposing Numbers to 10 (English) Compongamos y descompongamos números hasta 10 (Spanish) |
Unit 5 Video |
6 | Numbers 0–20 (English) Números del 0 al 20 (Spanish) |
Unit 6 Video |
7 | Solid Shapes All Around Us (English) Figuras sólidas por todas partes (Spanish) |
Unit 7 Video |
8 | Putting it All Together (English) Conectemos todo (Spanish) |
Unit 8 Video |
First-Grade Math Curriculum
The big ideas in grade 1 include: developing understanding of addition, subtraction, and strategies for addition and subtraction within 20; developing understanding of whole-number relationships and place value, including grouping in tens and ones; developing understanding of linear measurement and measuring lengths as iterating length units; and reasoning about attributes of, and composing and decomposing geometric shapes.
End of Year Fluency Expectation: Add and Subtract within 10
Practice Digital Centers: Capture Squares Add within 10 Subtract within 10
The mathematical work for grade 1 is partitioned into 8 units:
Unit | Resources | Family Support Videos |
---|---|---|
1 |
Adding, Subtracting, and Working with Data (English) |
Unit 1 Video |
2 | Addition and Subtraction Story Problems (English) Problemas-historia de sumar y restar (Spanish) |
Unit 2 Video |
3 | Adding and Subtracting within 20 (English) Sumemos y restemos hasta 20 (Spanish) |
Unit 3 Video |
4 | Numbers to 99 (English) Números hasta 99 (Spanish) |
Unit 4 Video |
5 | Adding within 100 (English) Sumemos hasta 100 (Spanish) |
Unit 5 Video |
6 | Length Measurements within 120 units (English) Medidas de longitud de hasta 120 unidades (Spanish) |
Unit 6 Video |
7 | Geometry and Time (English) Geometría y tiempo (Spanish) |
Unit 7 Video |
8 | Putting it All Together (English) Conectemos todo (Spanish) |
Unit 8 Video |
Second-Grade Math Curriculum
The big ideas in grade 2 include: extending understanding of the base-ten number system, building fluency with addition and subtraction, using standard units of measure, and describing and analyzing shapes.
The mathematical work for grade 2 is partitioned into 9 units:
End of Year Fluency Expectations: Add and Subtract with in 10, Add and Subtract within 100
Practice Digital Centers: Capture Squares Add within 20 Subtract within 20
Unit | Resources | Family Support Videos |
---|---|---|
1 |
Adding, Subtracting, and Working with Data (English) |
Unit 1 Video |
2 | Adding and Subtracting within 100 (English) Problemas-historia de sumar y restar (Spanish) |
Unit 2 Video |
3 | Measuring Length (English) Sumemos y restemos hasta 20 (Spanish) |
Unit 3 Video |
4 | Addition and Subtraction on the Number Line (English) Sumemos y restemos en la recta numérica (Spanish) |
Unit 4 Video |
5 |
Numbers to 1,000 (English) |
Unit 5 Video |
6 | Geometry, Time, and Money (English) Geometría, tiempo y dinero (Spanish) |
Unit 6 Video |
7 | Adding and Subtracting within 1,000 (English) Sumemos y restemos hasta 1,000 (Spanish) |
Unit 7 Video |
8 | Equal Groups (English) Grupos iguales (Spanish) |
Unit 8 Video |
9 | Putting it All Together (English) Conectemos todo (Spanish) |
Unit 9 Video |
Third-Grade Math Curriculum
The big ideas in grade 3 include: developing understanding of multiplication and division and strategies for multiplication and division within 100; developing understanding of fractions, especially unit fractions (fractions with numerator 1); developing understanding of the structure of rectangular arrays and of area; and describing and analyzing two-dimensional shapes.
The mathematical work for grade 3 is partitioned into 8 units:
End of Year Fluency Expectations: Multiply and Divide within 100, Add and Subtract within 1,000
Practice Digital Centers: Capture Squares Multiply 2,5,10 1-5 6-9
Unit | Resources | Family Support Videos |
---|---|---|
1 |
Introducing Multiplication (English) |
Unit 1 Video |
2 | Area and Multiplication (English) Área y multiplicación (Spanish) |
Unit 2 Video |
3 | Wrapping Up Addition and Subtraction within 1,000 (English) Concluyamos suma y resta hasta 1,000 (Spanish) |
Unit 3 Video |
4 | Relating Multiplication to Division (English) Relacionemos la multiplicación con la división (Spanish) |
Unit 4 Video |
5 | Fractions as Numbers (English) Fracciones como números (Spanish) |
Unit 5 Video |
6 | Measuring Length, Time, Liquid Volume, and Weight (English) Midamos longitud, tiempo, volumen líquido y peso (Spanish) |
Unit 6 Video |
7 | Two-dimensional Shapes and Perimeter (English) Figuras de dos dimensiones y perímetro (Spanish) |
Unit 7 Video |
8 | Putting it All Together (English) Conectemos todo (Spanish) |
Unit 8 Video |
Fourth-Grade Math Curriculum
The big ideas in grade 4 include: developing understanding and fluency with multi-digit multiplication, and developing understanding of dividing to find quotients involving multi-digit dividends; developing an understanding of fraction equivalence, addition and subtraction of fractions with like denominators, and multiplication of fractions by whole numbers; understanding that geometric figures can be analyzed and classified based on their properties, such as having parallel sides, perpendicular sides, particular angle measures, and symmetry.
End of Year Fluency Expectation: Add and Subtract within 1,000,000
Practice Digital Centers: Five in a Row Multiplication 1,5,10 1-9 Number Puzzles Beyond 1,000
The mathematical work for grade 4 is partitioned into 9 units:
Unit | Resources | Family Support Videos |
---|---|---|
1 |
Factors and Multiples (English) |
Unit 1 Video |
2 | Fraction Equivalence and Comparison (English) Equivalencia y comparación de fracciones (Spanish) |
Unit 2 Video |
3 | Extending Operations to Fractions (English) Extendamos las operaciones a las fracciones (Spanish) |
Unit 3 Video |
4 | From Hundredths to Hundred-thousands (English) De centésimas a cienmilésimas (Spanish) |
Unit 4 Video |
5 | Multiplicative Comparison and Measurement (English) Comparación multiplicativa y medidas (Spanish) |
Unit 5 Video |
6 | Multiplying and Dividing Multi-digit Numbers (English) Multipliquemos y dividamos números de varios dígitos (Spanish) |
Unit 6 Video |
7 | Angles and Angle Measurement (English) Ángulos y medidas de ángulos (Spanish) |
Unit 7 Video |
8 | Properties of Two-Dimensional Shapes (English) Propiedades de figuras de dos dimensiones (Spanish) |
Unit 8 Video |
9 | Putting it All Together (English) Conectemos todo (Spanish) |
Unit 9 Video |
Fifth-Grade Math Curriculum
The big ideas in grade 5 include: developing fluency with addition and subtraction of fractions, developing understanding of multiplication and division of fractions in limited cases (unit fractions divided by whole numbers and whole numbers divided by unit fractions), extending division to two-digit divisors, developing understanding of operations with decimals to hundredths, developing fluency with whole number and decimal operations, and developing understanding of volume.
End of Year Fluency Expectation: Multidigit Multiplication
Practice Digital Centers: Number Puzzles 2-digit Factors Multi-digit Factors
The mathematical work for grade 5 is broken into 8 units:
Unit | Resources | Family Support Videos |
---|---|---|
1 |
Finding Volume (English) |
Unit 1 Video |
2 | Fractions as Quotients and Fraction Multiplication (English) Fracciones como cocientes y multiplicación de fracciones (Spanish) |
Unit 2 Video |
3 | Multiplying and Dividing Fractions (English) Multipliquemos y dividamos fracciones (Spanish) |
Unit 3 Video |
4 |
Wrapping Up Multiplication and Division with Multi-digit Numbers |
Unit 4 Video |
5 | Unit 5 Video | |
6 | Unit 6 Video | |
7 | Unit 7 Video | |
8 |
Sixth-Grade Math Curriculum
Unit | Resources | Family Support Videos |
---|---|---|
For Family Support Videos: Click onto the second arrow where it says “Video Only Unit __ Summaries” Do not click on “Assignable Unit Lesson Videos…"
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1 |
Area and Surface Area (English) |
Unit 1 Video |
2 | Introducing Ratios (English) Introducción a las razones (Spanish) |
Unit 2 Video |
3 | Unit Rate and Percentages (English) Tasas unitarias y porcentajes (Spanish) |
Unit 3 Video |
4 | Dividing Fractions (English) División de fracciones (Spanish) |
Unit 4 Video |
5 | Arithmetic in Base Ten (English) Aritmética en base diez (Spanish) |
Unit 5 Video |
6 | Expressions and Equations (English) Expresiones y ecuaciones (Spanish) |
Unit 6 Video |
7 | Rational Numbers (English) Números racionales (Spanish) |
Unit 7 Video |
8 | Data Sets and Distributors (English) Conjuntos de datos y distribuciones (Spanish) |
Unit 8 Video |
Accelerated Sixth Grade
Unit | Resources |
---|---|
1 |
Areas (English) |
2 | Ratios, Rates and Percentages (English) |
3 | Fractions and Decimals (English) Tasas unitarias y porcentajes (Spanish) |
4 | Equations and Expressions (English) División de fracciones (Spanish) |
5 | Proportional Relationships (English) Aritmética en base diez (Spanish) |
6 | Percentage Increase and Decrease (English) |
7 | Rational Numbers (English) Números racionales (Spanish) |
8 | Data Sets and Distributors (English) |
Seventh-Grade Math Curriculum
Unit | Resources | Family Support Videos |
---|---|---|
For Family Support Videos: Click onto the second arrow where it says “Video Only Unit __ Summaries” Do not click on “Assignable Unit Lesson Videos… | ||
1 |
Scale Drawings (English) |
Unit 1 Video |
2 | Introducing Proportional Relationships (English) Introducción a las relaciones proporcionales (Spanish) |
Unit 2 Video |
3 | Measuring Circles (English) Midamos círculos (Spanish) |
Unit 3 Video |
4 | Proportional Relationships and Percentages (English) Relaciones proporcionales y porcentajes (Spanish) |
Unit 4 Video |
5 | Rational Number Arithmetic (English) Aritmética con números racionales (Spanish) |
Unit 5 Video |
6 | Expressions, Equations, and Inequalities (English) Expressions, Equations, and Inequalities (Spanish) |
Unit 6 Video |
7 | Angles, Triangles, and Prisms (English) Ángulos, triángulos y prismas (Spanish) |
Unit 7 Video |
8 | Probability and Sampling (English) Probabilidad y muestreo (Spanish) |
Unit 8 Video |
Accelerated Seventh
Unit | Resources |
---|---|
1 |
Rigid Transformations and Congruence (English) |
2 | Scale Drawings and Slope (English) |
3 | Writing and Solving Equations (English) |
4 | Inequalities, Expressions, and Equations (English) |
5 | Linear Equations (English) |
6 | Functions and Volume (English) Expresiones, ecuaciones y desigualdades (Spanish) |
7 | Exponents and Scientific Notations (English) |
8 | Pythagorean Theorem and Irrational Numbers (English) |
Eighth-Grade Math Curriculum
Unit | Resources | Family Support Videos |
---|---|---|
1 |
Rigid Transformations and Congruence (English) |
Unit 1 Video |
2 | Dilations, Similarity, and Introducing Slope (English) Dilataciones, semejanza e introducción a la pendiente (Spanish) |
Unit 2 Video |
3 | Linear Relationships (English) Relaciones lineales (Spanish) |
Unit 3 Video |
4 | Linear Equations and Linear Systems (English) Ecuaciones lineales y sistemas lineales (Spanish) |
Unit 4 Video |
5 | Functions and Volume (English) Funciones y volumen (Spanish) |
Unit 5 Video |
6 | Pythagorean Theorem and Irrational Numbers (English) Teorema de Pitágoras y números irracionales (Spanish) |
Unit 6 Video |
7 | Exponents and Scientific Notations (English) Exponentes y notación científica (Spanish) |
Unit 7 Video |
8 | Association in Data (English) Exponentes y notación científica (Spanish) |
Unit 8 Video |
Algebra 1 Curriculum
Unit | Resources | Family Support Videos |
---|---|---|
For Family Support Videos: Click onto the second arrow where it says “Video Only Unit __ Summaries” Do not click on “Assignable Unit Lesson Videos…" | ||
1 |
One-Variable Statistics (English) |
Unit 1 Video |
2 | One-Variable Statistics (English) Ecuaciones lineales, desigualdades y sistemas (Spanish) |
Unit 2 Video |
3 | Two-Variable Statistics (English) Estadística de dos variables (Spanish) |
Unit 3 Video |
4 | Functions (English) Funciones (Spanish) |
Unit 4 Video |
5 | Introduction to Exponential Functions (English) Introducción a las funciones exponenciales (Spanish) |
Unit 5 Video |
6 | Introduction to Quadratic Functions (English) Introducción a las funciones cuadráticas (Spanish) |
Unit 6 Video |
7 | Quadratic Functions (English) Ecuaciones cuadráticas (Spanish) |
Unit 7 Video |
Geometry Curriculum
Unit | Resources |
---|---|
1 | Constructions and Rigid Transformations |
2 | Congruence |
3 | Similarity |
4 | Right Triangle Trigonometry |
5 | Solid Geometry |
6 | Coordinate Geometry |
7 | Circles |
8 | Conditional Probability |
Additional Resources
SAT PREP
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Kahn Digital SAT Prep
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https://www.khanacademy.org/digital-sat- login with PSAT college board account for personalized practice.
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Algebra 2 Curriculum
Unit | Resources |
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1 | |
2 | |
3 | |
4 | |
5 | |
6 | |
7 |
SAT PREP
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Kahn Digital SAT Prep
-
https://www.khanacademy.org/digital-sat- login with PSAT college board account for personalized practice.
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Contact Us
Curriculum and Instruction
Phone: 303-982-6684