
Overview
District 25 uses Math in Focus for Kindergarten through 5th grade students. This curriculum utilizes a concrete, pictorial, and abstract approach that focuses on problem solving and conceptual understanding of math concepts. In middle school, 6th through 8th grade, students participate in the Big Ideas curriculum that focuses on problemsolving, reallife application, and conceptual understanding through a mix of exploration and practice. Starting in 4th grade, District 25 offers advanced math courses for students who demonstrate a need for gradelevel accelerated content.

Standards
Illinois has adopted the Illinois Learning Standards, which are based on the Common Core State Standards. District 25 uses the Illinois Learning Standards to align curriculum and inform instruction. By emphasizing depth over breadth, the Illinois Learning Standards ensures that students have a comprehensive understanding of key concepts. Additional information can be found on the Illinois State Board of Education website.

Instruction
The Math in Focus program strives to develop conceptual understanding with the goal of content mastery. Concepts are taught by moving through a sequence from concrete to pictorial to abstract. Concrete learning happens through handson activities with math manipulatives, such as counters, coins, number lines, or base ten blocks. Pictorial learning uses pictures, drawings, or other forms that illustrate the concept with something more than abstract numbers. Finally, abstract learning requires students to use numerals, strategies, and problem solving methods to solve problems. Math in Focus is a researchbased program that focuses on classroom learning, discussion, and practice. It strives to balance conceptual understanding, visual learning, and problem solving.
The Big Ideas Math program, written by Ron Larson and Laurie Boswell, utilizes a researchbased, balanced instructional approach that includes both discovery learning and scaffolded lessons. Big Ideas Math is dedicated to a balanced approach to instruction. The activities and explorations involve studentdirected discovery learning, allowing students to develop a conceptual understanding. The discovery learning is followed by scaffolded instruction, giving students the opportunity to utilize clear, precise mathematics language, and structure.
The D25 Math progression is as follows:

Kindergarten
In Kindergarten, students will cover the following topics of the Math in Focus curriculum:
 Numbers to 5
 Numbers to 10
 Measurement
 Compare Numbers to 10
 Flat & Solid Shapes
 Numbers to 20
 Addition
 Subtraction
 Numbers to 100
 Sorting

1st Grade
In 1st Grade, students will cover the following topics of the Math in Focus curriculum:
 Numbers to 10
 Addition & Subtraction within 10
 Shapes & Patterns
 Numbers to 20
 Addition & Subtraction within 20
 Numbers to 40
 Calendar & Time
 Addition & Subtraction within 40
 Length & Weight
 Numbers to 120
 Addition & Subtraction within 100
 Graphs
 Money

2nd Grade
In 2nd Grade, students will cover the following topics of the Math in Focus curriculum:
 Numbers to 1,000
 Addition within 1,000
 Subtraction within 1,000
 Using Bar Models: Addition & Subtraction
 Length
 Shapes
 Graphs & Line Plots
 Multiplication & Division
 Multiplication Tables
 Time & Money
 Mass

3rd Grade
In 3rd Grade, students will cover the following topics of the Math in Focus curriculum:
 Numbers to 10,000
 Addition within 10,000
 Subtraction within 10,000
 Multiplication Tables
 Multiplication
 Using Bar Models; The Four Operations
 Fractions
 Measurement
 Area & Perimeter
 Time
 Graphs & Line Plots
 Angles, Lines, & TwoDimensional Figures

4th Grade
In 4th Grade, students will cover the following topics of the Math in Focus curriculum:
 Working with Whole Numbers
 Multiplication & Division
 Fractions & Mixed Numbers
 Decimals
 Conversion & Measurements
 Area & Perimeter
 Angles & Line Segments
 Polygons & Symmetry
 Tables & Line Graphs

5th Grade
In 5th Grade, students will cover the following topics of the Math in Focus curriculum:
 Whole Numbers and the Four Operations
 Fractions & Mixed Numbers
 Multiplying & Dividing Fractions & Mixed Numbers
 Decimals
 Four Operations of Decimals
 Volume
 Line Plots & Coordinate Plane
 Polygons
 Ratio
 Percent

6th Grade
In 6th Grade, students will cover the following topics of the Big Ideas curriculum:
 Numerical Expressions & Factors
 Fractions & Decimals
 Algebreic Expressions & Properties
 Areas of Polygons
 Ratios & Rates
 Integers & the Coordinate Plane
 Equations & Inequalities
 Surface Area & Volume
 Statistical Measures
 Data Displays

7th Grade
In 7th Grade, students will cover the following topics of the Big Ideas curriculum:
 Integers
 Rational Numbers
 Expressions & Equations
 Inequalities
 Rations & Proportions
 Percents
 Constructions & Scale Drawings
 Circles & Area
 Surface Area & Volume
 Probability & Statistics
 Transformations
 Angles & Triangles
 Graphing & Writing Linear Equations
 Real Numbers & the Pythagorean Theorem
 Volume & Similar Solids
 Exponents & Scientific Notation

8th Grade
In 8th Grade, students will cover the following topics of the Big Ideas curriculum:
 Equations
 Transformations
 Angles & Triangles
 Graphing & Writing Linear Equations
 Systems of Linear Equations
 Functions
 Real Numbers & the Pythagorean Theorem
 Volume & Similar Solids
 Data Analysis & Displays
 Exponents & Scientific Notation

Algebra
Students who take Algebra will cover the following topics of the Big Ideas curriculum:
 Solving Linear Equations
 Graphing & Writing Linear Equations
 Solving Linear Inequalities
 Solving Systems & Linear Equations
 Linear Functions
 Exponential Equations & Functions
 Polynomial Equations & Factoring
 Graphic Quadratic Functions
 Solving Quadratic Equations
 Square Root Functions & Geometry
 Rational Equations & Functions
 Data Analysis & Displays

Geometry
Students who take Geometry will cover the following topics of the Glencoe curriculum:
Unit 1: Geometric Structure
 Tools of Geometry
 Reasoning & Proof
 Parallel & Perpendicular Lines
Unit 2: Congruence
 Congruenty Triangles
 Relationships in Triangles
 Quadrilaterals
Unit 3: Similarity
 Proportions & Similarity
 Right Triangles & Trigonometry
 Transformations & Symmetry
Unit 4: Measurement
 Circles
 Areas of Polygons & circles
 Extending Surface Area & Volume
 Probability & Measurement

Additional Information
Math Interventionists
Each building in District 25 has a math interventionist. Students will be identified based off of district assessment criteria. Students who receive math intervention are exposed to a variety of programs, which include TouchMath and Number Worlds. K5 Math Intervention Curriculum: Number Worlds, Do the Math & ZEARN
 68 Math Intervention Curriculum: ZEARN
Advanced Math Process
We identify students for Advanced Math Placement in the spring for the following year starting in 3rd grade. For additional information on the advanced math placement process, please select the Advanced Math Placement page.