About this Unit
This unit covers standards for grades 2–6.
The goal of TouchMath Upper Grades Unit 6: Mixed Operations with Whole Numbers is to ensure proficiency with the four basic operations with whole numbers. The instruction and practice begin with relationships and properties of pairs of operations. The reinforcement throughout the unit is then scaffolded sequentially using the number of digits of the numbers in the equations. Previously introduced strategies are strengthened.
The six modules each provide meaningful repetition and application of the strategies and algorithms in performing computation, making comparisons (with and without solving equations), finding unknowns, using 0s in various places, and solving word problems with multi-steps. Place value is emphasized throughout the activities. The modules are Relationships of Operations, Two–Four Digits by One Digit, Two–Four Digits by Two Digits, Three–Four Digits by Three Digits, Four Digits, and Mixed Practice with Operations. The skills advance to estimating, explaining strategies and processes, reading and applying numbers in the hundred millions, relating the lattice method to place value for multiplication, and identifying multiple ways to express equations and solutions.
Throughout the unit, formal testing procedures are implemented. Multiple choice and true/false with bubble answers are incorporated. Other reviews include matching, written answers, selecting the comparison or operation symbol to be used in an expression or equation, and other engaging activities.
The unit provides instructional support for learners with disabilities by presenting and allowing multiple strategies for finding and expressing solutions.
- Module 1: Relationships of Operations
- Module 2: Two-Four Digits by One Digit
- Module 3: Two-Four Digits by Two Digits
- Module 4: Three-Four Digits by Three Digits
- Module 5: Four Digits
- Module 6: Mixed Practice with Operations
See how the Upper Grades Program meets or exceeds state standards.