Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Counting Dots in Arrays

For Teachers 2nd - 3rd Standards
This task aims to show students that there is often more than one way to represent a quantity. This lesson plan also lays a foundation for students to understand the commutative property of multiplication.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Connor and Makayla Discuss Multiplication

For Teachers 5th - 8th Standards
The purpose of this task is to have students think about the meaning of multiplying a number by a fraction, and use this burgeoning understanding of fraction multiplication to make sense of the commutative property of multiplication in...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 5.nbt Elmer's Multiplication Error

For Teachers 5th
Fifth graders are presented with the calculations for a multiplication problem and are asked to explain why the answer is incorrect. They must use estimation, identify the error, show the correct arithmetic, and find the answer another...
Activity
Illustrative Mathematics

Illustrative Mathematics: Counting Dots in Arrays

For Teachers 2nd Standards
This activity addresses CCSS 2.OA.C.4 where students count dots in an array using repeated addition. This skill lays the foundation for an understanding of multiplication.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N cn.a and N cn.a.1: Complex Number Patterns

For Teachers 9th - 10th
This task serves as a possible first student exploration after an initial introduction to the form and arithmetic of complex multiplication. Students need to understand that every complex number can be expressed in the form a+bi, and...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Running to School

For Teachers 4th - 8th Standards
This is the easiest problem in a series of three tasks involving fraction multiplication that can be solved with pictures or number lines. Aligns with 5.NF.B.6.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 7.ee Shrinking

For Teachers 7th
Seventh graders determine the decrease in height over a period of time with this real life lesson.
Handout
University of St. Andrews (UK)

University of St. Andrews: Nicomachus of Gerasa

For Students 9th - 10th
Many people have used a multiplication table, but most are oblivious that Nicomachus made the first multiplication table in Greek text.