We’d like to introduce you to the Illustrative Mathematics curriculum. This problem-based curriculum makes rigorous elementary school mathematics accessible to all learners.
What is a problem based curriculum?
In a problem-based curriculum, students spend most of their time in class working on carefully crafted and sequenced problems. Teachers help students understand the problems, ask questions to push their thinking, and orchestrate discussions to be sure that the mathematical takeaways are clear. Learners gain a rich and lasting understanding of mathematical concepts and procedures and experience applying this knowledge to new situations. Students frequently collaborate with their classmates—they talk about math, listen to each other’s ideas, justify their thinking, and critique the reasoning of others. They gain experience communicating their ideas both verbally and in writing, developing skills that will serve them well throughout their lives.
This kind of instruction may look different from what you experienced in your own math education. Current research says that students need to be able to think flexibly in order to use mathematical skills in their lives (and also on the types of tests they will encounter throughout their schooling). Flexible thinking relies on understanding concepts and making connections between them. Over time, students gain the skills and the confidence to independently solve problems that they've never seen before.
In this unit, students add and subtract within 10 and answer questions about data.
In this unit, students solve new types of story problems within 10. They develop an understanding of the meaning of the equal sign and connect story problems to equations.
In this unit, students add and subtract within 20.
In this unit, students develop an understanding of place value for numbers up to 99. This unit is the first introduction to the base-ten system. The understanding students develop about units of tens and ones will be the foundation for base-ten work, including decimals, that continues through grade 5.
In this unit, students use place value understanding and properties of operations to add within 100.
In this unit, students measure length and count measurement units up to 120. They also solve addition and subtraction story problems with unknowns in all positions.
In this unit, students reason with shapes and their attributes and split shapes into equal pieces. Students also tell time to the hour and half hour.
In this unit, students put together their understanding from throughout the year to cap off major work and fluency goals of the grade.