### Mathematics

 Scope & Sequence Kindergarten - 8th Grade Middle School High School Illinois State Goals

### District Overview

 Number Sense: Numbers and what we do with them help us make sense of our world. Knowing how to use numbers can help us solve problems. Measurement: Measurement gives us a way to answer "how many - how much - how far?" Knowing how to use measuring instruments helps us gain accurate information. Algebra: Algebra uses patterns and how patterns work to find solutions to everyday problems. Geometry: Geometry provides opportunities for problem solving using reasoning. Points, lines, planes, and space are used to understand the dimensions of our world. Data Analysis: Understanding and interpreting data grows more important each day. Probability, organization, variables, and patterns help us judge the reasonableness of our solutions.

### Grades K-3 Overview

• Addition, subtraction, multiplication through 12 x 12, introduction to division.
• Measurement and comparison of length, liquid, and weight. Telling time. Counting money and making change.
• Find the missing number in addition/subtraction problems.
• Identify shapes.
• Find perimeter, area, and volume. Lines. Rays.
• Read, make, and compare bar graphs, line graphs, pictographs, and pie charts.

### Grades 4-5 Overview

• Solve one and two-step problems. Use fractions, whole numbers and decimals.
• Calculate length, perimeter, area and conversions within the metric system.
• Understand operations and number properties. ex: commutative, associative, distributive, and zero. Solve linear equations.
• Compare geometric figures and determine their properties and describe geometric relationships.
• Determine mean, median, and mode from set of data. Calculate the probability of events.

### Grades 6-8 Overview

• Identify and apply number sense to a variety of problems.
• Use concrete/graphic models and appropriate formulas to apply the concepts of measurement.
• Apply properties of numbers and operations to solve problems.
• Develop and communicate logical arguments about geometric figures and patterns.
• Organize data, make sense of variables and interpret patterns.

### Grades 9-12 Overview

• Identify and apply the properties of all numbers.
• Measure and compare quantities using appropriate units. Apply formulas for real-world measurements.
• Interpret relationships using tables, graphs, and charts. Solve problems using number properties. Use concepts and procedures to solve problems.
• Identify, describe, and compare relationships of lines, planes, and other shapes. Use proofs to solve problems.
• Organize, describe, and make predictions from data. Apply and describe things using the probability of the event.