Mathematics Curriculum » Math Curriculum and District Initiatives

Math Curriculum and District Initiatives

Illustrative Mathematics Announces IM® 360 for K–12 Educators and Students  | American Consortium for Equity in Education

 

 

 

 

What is Illustrative Mathematics?

Illustrative Mathematics is a problem-based core curriculum designed to address content and practice standards to foster learning for all1. It’s built on the principle that all students are capable learners of grade-level mathematics1.

 

How does Illustrative Mathematics work?

Students learn math by doing math. They are encouraged to use their current understanding of math, their lived experiences, and the world around them as resources for problem solving1. By starting with what students already know, teachers invite all students to contribute to mathematical learning, centering student thinking, and being responsive as students develop conceptual understanding.

 

What makes Illustrative Mathematics unique?

Illustrative Mathematics is a comprehensive suite of math curricula and professional learning offerings designed to encourage engaging and affirming math instruction and support the development of positive mathematical identities1. It’s fully aligned to the focus, rigor, and coherence of the standards, and has been given the stamp of approval by EdReports, earning perfect scores in the areas of Focus & Coherence and Rigor & Mathematical Practices1.

 

What are the components of Illustrative Mathematics?

Illustrative Mathematics provides a variety of resources that enhance and complement the IM curriculum and implementation2. These include unit math story videos for IM 6–8 Math™ and Algebra 1 that help educators understand the mathematical arc of a unit2. Collections are sorted by grade-band and topic2.

 

Why is Illustrative Mathematics beneficial?

Illustrative Mathematics leads students to enduring math proficiency by giving educators exclusive access to engaging content, comprehensive professional learning, and an inclusive community of scholars working together to build a world where all learners know, use, and enjoy mathematics3.

 

 

 
 
 
Cognitively Guided Instruction (CGI) Math
 
 

What is Illustrative Mathematics?

Illustrative Mathematics is a problem-based core curriculum designed to address content and practice standards to foster learning for all1. It’s built on the principle that all students are capable learners of grade-level mathematics1.

 

How does Illustrative Mathematics work?

Students learn math by doing math. They are encouraged to use their current understanding of math, their lived experiences, and the world around them as resources for problem solving1. By starting with what students already know, teachers invite all students to contribute to mathematical learning, centering student thinking, and being responsive as students develop conceptual understanding.

 

What makes Illustrative Mathematics unique?

Illustrative Mathematics is a comprehensive suite of math curricula and professional learning offerings designed to encourage engaging and affirming math instruction and support the development of positive mathematical identities1. It’s fully aligned to the focus, rigor, and coherence of the standards, and has been given the stamp of approval by EdReports, earning perfect scores in the areas of Focus & Coherence and Rigor & Mathematical Practices1.

 

What are the components of Illustrative Mathematics?

Illustrative Mathematics provides a variety of resources that enhance and complement the IM curriculum and implementation2. These include unit math story videos for IM 6–8 Math™ and Algebra 1 that help educators understand the mathematical arc of a unit2. Collections are sorted by grade-band and topic2.

 

Why is Illustrative Mathematics beneficial?

Illustrative Mathematics leads students to enduring math proficiency by giving educators exclusive access to engaging content, comprehensive professional learning, and an inclusive community of scholars working together to build a world where all learners know, use, and enjoy mathematics3.

 

 

 

 

Number Sense Routines
 
 
 

Number sense routines are short, structured activities designed to help students develop an intuitive understanding of numbers and their relationships1. Here are some common number sense routines used in elementary education:

  1. Count in Circle: This is a fun routine where students count in a circle2.
  2. Choral Counting: In this routine, the whole class counts aloud a number sequence together2.
  3. Ten Frames: This routine helps students visualize numbers and understand their relationships2.
  4. Number of the Day: This routine involves focusing on a specific number for the day and exploring its properties2.
  5. Rekenrek aka Arithmetic Rack: This tool helps students develop a sense of five and ten, and the parts that combine to make these benchmark numbers2.
  6. Counting Anything: This routine involves counting objects, people, sounds, etc., to develop a sense of quantity2.
  7. Dice Throw: This routine involves throwing dice and counting the number of dots2.
  8. Number Line Stops: This routine involves using a number line to understand the position and relationships of numbers2.
  9. Number Bounce Routine: This is a quick counting routine in which students and teachers count forward and backward in a given sequence1. For example, you might start counting forward by ones like: 213, 214, 215, 216, then tap a student on the shoulder. The student says 217, and then you continue counting1.

  10. Base Ten Toss Routine: This routine includes counting using place value language1. It is intended to build base ten language and ultimately foster place value understandings1.

  11. Close, Far, or In-Between Number Sense Routine: This routine helps students develop an intuitive understanding of numbers and their relationships2. It can be adapted for learners of all ages, from early childhood to adulthood2.

  12. Which One Doesn’t Belong?: Present a set of numbers or shapes and ask learners to identify which one doesn’t belong and explain their reasoning2.

  13. Estimation Jar: Fill a jar with objects (e.g., marbles, beans) and ask learners to estimate how many are in the jar. Then, count to check their estimates2.

  14. Number Talks: Engage in open-ended discussions about mathematical problems, encouraging learners to share their strategies and solutions2.

 

These routines are flexible and can be adapted to suit the needs and abilities of learners at different levels1. They are meant to be quick activities that can be used at any time during the school day31.