This lesson unit is intended to help you assess how well students are able to: Perform arithmetic operations, including those involving whole-number exponents, recognizing and applying the conventional order of operations; Write and evaluate numerical expressions from diagrammatic representations and be able to identify equivalent expressions; apply the distributive and commutative properties appropriately; and use the method for finding areas of compound rectangles.

This activity was used in addition to the EngageNY.org Grade 4 Mathematics Module 3, Topic H, Lesson 36 . This lesson was used with a tier 3 fourth grade math intervention group to help students visualize and build understanding of multiplying a 2 digit by 2 digit number using partial products. I modified the lesson by designing a worksheet that would help the students use an area model to visually represent the partial products. My students were proficient in expanded notation, however, they needed the visual representation to build the understanding of where the partial products came from and represented. This helped them move from a pictorial representation to abstract representation. To help solidify place value, it was helpful to have the student shade, in different colors, the rectangle that represents the ones, tens, and hundreds. We also continued to write out the expressions used to find each partial product.

This comprehensive lesson plan taps on students' conceptual understanding of the area model, order of operations, and whole-number exponents to explore and solve a card-matching task. Students will need to match a set of compound rectangles to numerical expression that will give the area for the figure. Students will need to utilize the distributive and commutative properties to solve the task. Aside from the expressions and equations standard, this resource can be used as a geometry/measurement task as well. This lesson plan contemplates individual and group activities producing student engagement.

This is a digital download of a math scoot. This scoot allows students to move around your classroom responding to one question at a time. The questions have a wide variety of difficulty for simplifying algebraic expressions. The simplifying expressions cards include combining like terms using addition or subtraction, and simplifying by using the distributive property.

This lesson unit is intended to help teachers assess how well students are able to: solve linear equations in one variable with rational number coefficients; collect like terms; expand expressions using the distributive property; and categorize linear equations in one variable as having one, none, or infinitely many solutions. It also aims to encourage discussion on some common misconceptions about algebra.