Student Learning
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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 problem-solving, real-life 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 grade-level accelerated content.
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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.
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Contact
Sean McGann
Curriculum Coordinator
Math, Science, CTEResouces
Math In Focus Parent Resources:
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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 hands-on 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 research-based 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 research-based, 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 student-directed 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:
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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
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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
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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
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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, & Two-Dimensional Figures
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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
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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
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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
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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
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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
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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
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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
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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.- K-5 Math Intervention Curriculum: Number Worlds, Do the Math & ZEARN
- 6-8 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.