If you are interested in Common Core Math Standards for fractions, please click here.

More than twenty years before the Common Core Math Standards appeared on the scene, Dr. Henry Borenson, the inventor of Hands-On Equations, was already using “common core mathematical practices” in his work with students. With peer-reviewed published articles such as, “Teaching the Process of Mathematical Investigation,” “Teaching Student to Think in Mathematics and to Make Conjectures,” and “Promoting Mathematical Creativity in the Classroom,” Dr. Borenson emphasized the importance of students being able to understand and communicate mathematics.

Borenson, Henry (2012). " Are the common core state standards for mathematics in grades three and four reasonable? Rethinking word problems using a letter for the unknown.__"__ Newsletter of the National Council of Supervisors of Mathematics (NCSM), Volume 42, Number 4, 24-25.

**As early as the third grade the Common Core Math Standards requires students to be able to solve verbal problems and to express the problem as an abstract equation using a letter for the unknown. Hands-On Equations enables students to experience sucess by first representing the problem concretely or pictorially, and only then by an abstract equation using a letter for the unknown.** ** **

Our two-day training will provide your teachers with the skills to help their students **meet **the following Common Core Mathematical Content standards:

- Solve two-step word problems and represent those problems using equations with a letter standing for the unknown. (3.OA.8). Click here for video demo.
- Solve multistep word problems using drawing and equations with a symbol for the unknown (4.OA.2). Click here for video demo.
- Use visual models and equations to represent and solve word problems involving addition and subtraction of fractions (4.NF.3d). Click here for video demo.
- Apply the property of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2+x) to produce the equivalent expression 6+3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6(4x + 3y) (6EE.3)
- Understand that positive and negative numbers have opposite values (6.NS.5)
- Solve mathematical problems using algebraic expressions and equations (7.EE.4). Click here for video demo.
- Recognize linear equations which have no solutions, one solution, and infinitely many solutions (8.EE.7)
- Strategically choose process for solving equations in one variable (grade 8)