# Our Approach

The goal of our mathematics program is to provide our students with the skills and knowledge they will need to succeed in college and beyond. At Match, we seek to inspire our scholars to pursue advanced math courses, and we provide them with the foundations they will need to be successful in advanced math study.

Our math curriculum is rooted in the following core beliefs about quality math instruction.

## Content-rich Tasks

We believe that students learn best when asked to solve problems that spark their curiosity, require them to make novel connections between concepts, and may offer more than one avenue to the solution.

## Practice and Feedback

We believe that practice and feedback are essential to developing students’ conceptual understanding and fluency.

## Productive Struggle

We believe that students develop essential strategies for tackling complex problems, and build non-cognitive skills such as grit and resilience, through productive struggle.

## Procedural Fluency AND Conceptual Understanding

We believe that knowing “how” to solve a problem is not enough; students must also know “why” mathematical procedures and concepts exist.

## Communicating Mathematical Understanding

We believe that the process of communicating their mathematical thinking helps students solidify their learning and helps teachers assess student understanding.

# Explore our Courses

#### 3rd Grade - Math

In this common-core-aligned course students develop: understanding of and fluency with multiplication and division within 100; understanding of fractions, especially unit fractions; understanding of rectangular arrays and of area; and facility at describing and analyzing two-dimensional shapes.

1 of 9 Units CompleteUnit 1: Place Value, Rounding, and Addition and Subtraction

**Unit 2: Multiplication and Division, Part 1**

**Unit 3: Multiplication and Division, Part 2**

**Unit 4: Area**

**Unit 5: Fractions**

**Unit 6: Measurement**

**Unit 7: Data**

**Unit 8: Shapes and their Perimeter**

#### 4th Grade - Math

This common-core aligned math course focuses on three key advancements from previous years: (1) developing understanding of multi-digit multiplication and division; (2) developing understanding of fraction equivalence and operations with fractions; and (3) understanding that geometric figures can be analyzed and classified based on their properties.

Unit 1: Place Value and Addition and SubtractionUnit 2: Multi-Digit Multiplication

Unit 3: Multi-Digit Division

Unit 4: Shapes and Angles

Unit 5: Fraction Equivalence and Ordering

Unit 6: Fraction Operations

Unit 7: Decimal Fractions

Unit 8: Unit Conversions

#### 5th Grade - Math

In this common-core-aligned math course students develop fluency with addition and subtraction of fractions, and in certain cases multiplication and division of fractions; integrate decimal fractions into the place-value system and develop fluency with operations with whole numbers and decimals to hundredths; and develop understanding of volume.

Unit 1: Place Value with DecimalsUnit 2: Multiplication and Division of Whole Numbers

Unit 3: Shapes and Volume

Unit 4: Addition and Subtraction of Fractions and Decimals

Unit 5: Multiplication and Division of Fractions

Unit 6: Multiplication and Division of Decimals

Unit 7: Patterns and the Coordinate Plane

#### 6th Grade - Math

In this common-core-aligned course students learn key concepts in the progression toward middle school algebra. They are introduced to ratios and rates, they expand their understanding of the number system to include negative numbers, and they solve one-step equations and inequalities. Students also continue their study of geometry, and are introduced to statistics.

Unit 1: Understanding and Representing RatiosUnit 2: Unit Rates and Percent

Unit 3: Multi-Digit and Fraction Computation

Unit 4: Rational Numbers

Unit 5: Numerical and Algebraic Expressions

Unit 6: Equations and Inequalities

Unit 7: Geometry

Unit 8: Statistics

#### 7th Grade - Math

In this common-core-aligned 7th grade Math course students continue to develop their skills in ratios and proportions, rational numbers, equations and expressions, geometry, and data analysis.

Unit 1: Proportional RelationshipsUnit 2: Operations with Rational Numbers

Unit 3: Numerical and Algebraic Expressions

Unit 4: Equations and Inequalities

Unit 5: Percent and Scaling

Unit 6: Geometry

Unit 7: Statistics

Unit 8: Probability

#### 8th Grade - Math

In this common-core-aligned 8th grade Math course students become proficient in analyzing, modeling and solving linear equations and systems of linear equations; understanding functions and using functions to describe quantitative relationships; analyzing two- and three-dimensional figures; and applying the Pythagorean Theorem.

Unit 1: Exponents & Scientific NotationUnit 2: Solving One-Variable Equations

Unit 3: Transformations & Angle Relationships

Unit 4: Functions

Unit 5: Linear Relationships

Unit 6: Systems of Linear Equations

Unit 7: Pythagorean Theorem & Volume Applications

Unit 8: Bivariate Data

#### 9th Grade - Algebra I

Algebra 1 formalizes and extends students’ understanding and application of functions. Students primarily explore linear functions (as well as linear piecewise, absolute value, and step functions), quadratic functions, and exponential functions. Within these parent functions, students develop a deep understanding of the features of each function—graphically and algebraically—and use these to guide creation of models and analysis of situations.

Unit 1: Functions, Graphs, & FeaturesUnit 2: Descriptive Statistics

Unit 3: Linear Expressions & Single-Variable Equations/Inequalities

Unit 4: Linear Equations, Inequalities and Systems

Unit 5: Functions and Transformations

Unit 6: Exponents and Exponential Functions

Unit 7: Introduction to Quadratic Functions & Solutions

Unit 8: Quadratic Equations & Applications

#### 10th Grade - Geometry

Students formalize their understanding of geometric relationships through development of models and mathematical arguments. Students make connections between different geometric concepts and algebra to deepen their understanding of geometric relationships. Students are introduced to probability in this course as well.

Unit 1: Constructions, Proof, and Rigid MotionUnit 2: Congruence in Two Dimensions

Unit 3: Dilations & Similarity

Unit 4: Right Triangles & Trigonometry

Unit 5: Polygons and Algebraic Relationships

Unit 6: 3D Measurement and Application

Unit 7: Circles

Unit 8: Probability

#### 11th Grade - Algebra II

Algebra 2 develops students’ conceptual understanding, fluency, and ability to apply advanced functions. Students learn about and draw connections between linear, quadratic, polynomial, rational, radical, and trigonometric functions. Students choose appropriate functions and restrictions, based in solid understanding of the features of the functions, to build functions that model contextual situations. Fluency is an important part of Algebra 2, as the ability to perform procedures quickly and easily allows students to more deeply understand concepts.

Unit 1: Linear Functions and ApplicationsUnit 2: Quadratics

Unit 3: Polynomials

Unit 4: Rational and Radical Functions

Unit 5: Exponential Modeling and Logarithms

Unit 6: The Unit Circle and Trigonometric Functions

Unit 7: Trigonometric Identities and Equations

Unit 8: Probability and Statistical Inference

Unit 9: Limits and Continuity

## Stay Involved

We are constantly adding new courses and updating our curriculum. If you are interested in Match Fishtank and our Mathematics curriculum, join our mailing list to stay up-to-date!