Math

District 90 believes that all students are capable of achieving high levels of mathematics and is committed to ensuring continuous development, growth, and achievement for all learners. Mathematics instruction in District 90 provides the opportunity for all students to have an engaging and challenging curriculum which focuses on developing students’ deep understanding of mathematical concepts. 

K-4 Math
In grades K-5, the core resource for math is Savvas Investigations in Number, Data and Space.

In kindergarten, students focus on counting, number and operations, measurement, geometry, and data. Throughout the year, students:

  • Fluently counting to—-and counting out sets of —-20
  • Rote count by 1s and 10s and 100; when counting by 1st, start from a number other than 1
  • Represent and solve addition and subtraction story problems within 10
  • Fluently add and subtract within 5
  • Identify and describe familiar 2-D and 3-D shapes
  • Make 2-D and 3-D shapes
  • Understand length and width of objects
  • Sort a set of objects by a given attribute and order the groups based on the number in each

More information from Investigations: Kindergarten Scope and Sequence and Math in Kindergarten

In first grade, students focus on number and operations, geometry, measurement, fractions and data. Throughout the year, students:

  • Understand ten ones as one ten, and teen numbers as one ten and some more ones
  • Understand that the multiples of 10 through 90 refer to 1-9 tens and 0 ones
  • Understand that you can count on/back to add/subtract
  • Add and subtract with numbers within 20 demonstrating fluency for addition and subtraction within 10
  • Solve add to and take from problems with unknown change
  • Solve comparison story problems with a bigger or smaller unknown
  • Match a 2-D representation of a 3-D shape to the outline of one of its faces
  • Demonstrate accurate measuring techniques when measuring an object or distance with multiple units
  • Tell and write time to the half hour
  • Understand that halves, or fourths apply to wholes divided into two (four) equal parts
  • Partition circles and rectangles into two and four equal parts

More information from Investigations: Grade 1 Scope and Sequence and Math in Grade 1

In second grade, students focus on number and operations, geometry, measurement, fractions and data. Throughout the year, students:

  • Understand that 100 can be seen as 1 hundred, as 10 tens, and as 100 ones
  • Understand that the multiples of 100 are made up of a number of hundreds
  • Understand that 3-digit numbers represent amounts of hundreds, tens, and ones
  • Read, write, count and compare numbers up to 1000
  • Represent and solve addition and subtraction problems with 3-digit numbers
  • Solve two-step problems about money; recognize and identify coins and their value
  • Fluently subtract 2 digit numbers
  • Fluently add and subtract within 100
  • Solve problems that involve equal groups
  • Make a rectangle out of same size equal squares and specify the number of rows and the number of squares in each row
  • Recognize that (halves, thirds, fourths) of the same whole can look different
  • Partition 2-D shapes into halves, thirds, and fourths and name the regions
  • Recognize that, when measuring the same length, larger units yield smaller counts
  • Estimate and measure lengths in inches, feet, centimeters and meters
  • Organize a set of data into up to four categories
  • Create, describe, and interpret a variety of data representations, including picture graphs and bar graphs

More information from Investigations: Grade 2 Scope and Sequence and Math in Grade 2

In third grade, students focus on number and operations, rational numbers,measurement, data, and geometry Throughout the year, students:

  • Understand the meaning of multiplication
  • Understand and work with an array/area model of multiplication
  • Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division
  • Solving multiplication and division problems, including multi-step problems and problems with multiple solutions
  • Use knowledge of place value to read, write, sequence and round numbers to 1000
  • Solve addition and subtraction problems using strategies
  • Fluently add and subtract within 1000 using strategies and algorithms based on place value
  • Understand and find area and perimeter
  • Solve problems involving measurement of liquid volume and mass
  • Describe and classify 2-D figures
  • Describe and summarize a set of data, describing concentrations of data and what those concentrations mean in terms of the situation the data represent.
  • Measure to the nearest fourth inch and represent measurement data to the nearest fourth inch on a line plot

More information from Investigations: Grade 3 Scope and Sequence and Math in Grade 3

In fourth grade, students focus on number and operations, rational numbers, analyzing patterns and rules, measurement, data, and geometry Throughout the year, students:

  • Visualizing multiplication
  • Reasoning about numbers and their multiples and factors
  • Solving multiplicative comparison problems
  • Extending knowledge of the number system to 1,000,000
  • Fluently add and subtract multi-digit whole numbers
  • Understanding the meaning of fractions and decimals
  • Comparing the values of fractions and decimals
  • Computing with rational numbers
  • Modeling situations with mathematics
  • Generating and analyzing patterns
  • Describing and measuring angles
  • Understanding and determining area
  • Representing, describing, summarizing, and comparing data
  • Identifying mirror symmetry in shapes

More information from Investigations: Grade 4 Scope and Sequence and Math in Grade 4

Math in Grades 5-8

District 90 believes that all students are capable of achieving high levels of mathematics and is committed to ensuring continuous development, growth, and achievement for all learners. Mathematics instruction in District 90 provides the opportunity for all students to have an engaging and challenging curriculum which focuses on developing students’ deep understanding of mathematical concepts.  The backbone of this instruction comes from Amplify Desmos.

5th Grade Math
Unit 1: Volume
Unit 2: Fractions as Quotients and Fraction Multiplication
Unit 3: Multiplying and Dividing Fractions
Unit 4: Multiplication and Division With Multi-Digit Numbers
Unit 5: Place Value Patterns and Decimal Operations
Unit 6: More Decimal and Fraction Operations
Unit 7: Geometry and Patterns

6th Grade Math
Unit 1: Area and Surface Area
Unit 2: Introducing Ratio
Unit 3: Unit Rates and Percentages
Unit 4: Dividing Fractions
Unit 5: Decimal Arithmetic
Unit 6: Expressions and Equations: 
Unit 7: Positive and Negative Numbers:
Unit 8: Describing Data

7th Grade Math
Unit 1: Scale Drawings
Unit 2: Introducing Proportional Relationships
Unit 3: Measuring Circles 
Unit 4: Proportional Relationships and Percentages
Unit 5: Operations with Positive and Negative Numbers
Unit 6: Expressions, Equations and Inequalities 
Unit 7: Angles, Triangles, and Prisms
Unit 8: Probability and Sampling

8th Grade Math
Unit 1:  Rigid Transformations
Unit 2:  Dilations Similarity and Slope
Unit 3:  Proportional and Linear Relationship
Unit 8:  The Pythagorean Theorem* (taught earlier in the year for additional practice)
Unit 4: Linear Equations and Linear Systems 
Unit 5:  Functions and Volume 
Unit 6:  Associations in Data 
Unit 7:  Exponents and Scientific Notation

ATP (Advanced) Course Overview

5th ATP: 5th and 6th Grade Standards
6th ATP: 6th and 7th Grade Standards
7th ATP: Review of priority 7th Grade Lessons/Standards and 8th Grade Standards
8th ATP: Review of Exponents, Review of Linear Relationships, Desmos Algebra 1, Foundational Geometry (8th Grade Standards)

STATE STANDARDS FOR MATH
The Common Core State Standards for mathematics are organized by content standards, which address topics, content, and skills. The Standards for Mathematical Practice address ways of thinking about mathematics, persevering in problem solving, use of appropriate tools, and mathematical reasoning. The balance of both content and conceptual understanding is essential in the development of proficiency for all students.

COMMON CORE STATE STANDARDS
The Common Core State Standards are organized by grade level and identify the content students will be learning that particular year. When the standards were constructed, an emphasis was placed on coherence and rigor to ensure that student learning builds from one grade to the next. 

STANDARDS FOR MATHEMATICAL PRACTICE
The Standards for Mathematical Practice describe “processes and proficiencies” that students should acquire as their math learning progresses. These standards require students to articulate their reasoning, provide proof for solutions, persist in problem solving, and make connections across mathematical ideas. 

RESOURCES FOR PARENTS TO SUPPORT THEIR CHILD’S MATH LEARNING
The Council of Great City Schools has developed content and grade-specific parent roadmaps that provide detailed information for parents about the expectations of the Common Core in Mathematics. These roadmaps include examples of grade-level focus in the content area and can be accessed via this link https://www.cgcs.org/page/244.

The National PTA has partnered with the National Education Association to develop guides to help families support their children.

Helping Your Child with Today’s Math