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Math Curriculum Materials

Math Curriculum Materials - Version 3.0
For the 2016-2017 School Year

Student Standards: Incorporating the Anti-bias Framework in the Classroom (in PDF)

First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
Eighth Grade
Algebra I (Grades 9-12)
Algebra II (Grades 9-12)
Geometry (Grades 9-12)

Thank you to the Math Curriculum Team!


Heidi Aranda
Sr. Program Coordinator, K-12 Mathematics
520-225-4916 |

Version 3.0

TUSD 3.0 Curriculum is a refinement of prior versions based on feedback, AZ Merit blueprints and Unitary Status Plan requirements.

Let's do math!

Let's do math problems! At TUSD, we bring enthusiasm to mathematical problem-solving. We want students to develop the habit of mind that mathematics is a tool to be used to solve many different problems.

Our approach in all grade levels is to guide our students to make sense of mathematics. In every math class, students demonstrate understanding of these eight mathematical practice standards:

  1. Make sense of problems and persevere in solving them.
  2. Reason abstractly and quantitatively.
  3. Construct viable arguments and critique the reasoning of others.
  4. Model with mathematics.
  5. Use appropriate tools strategically.
  6. Attend to precision.
  7. Look for and make use of structure.
  8. Look for and express regularity in repeated reasoning.

At TUSD, these standards run as a thread throughout math instruction K-12. In addition, the development of geometric spatial sense is infused through all grade levels, K-12.

In grades K-2, students develop understanding of whole number relationships and place value, including grouping in tens and ones. Students in these levels also develop understanding of addition and subtraction by using place value and the properties of operations.

In grades 3-5, students develop an understanding of multiplication and division by using place value and the properties of operations. Building on their previous work with whole numbers, students apply their understanding to fractions and decimals.

Students in grades 6-8 develop an understanding of ratio and proportionality to solve a wide variety of problems. They extend operations to all rational numbers. They use the arithmetic of rational numbers as they formulate expressions and equations to solve problems.

At the high school level, math instruction branches out into a variety of courses, including algebra, geometry, calculus, trigonometry, calculus, and statistics and probability. In each of these diverse topics, students continue to demonstrate their understanding through the practices.

Math in Your World

Ways you can facilitate mathematical thinking in your children

  1. Be positive about math. Mathematics is a part of every aspect of our technological world.
  2. Encourage your children to estimate (how long will it take you to get dressed? how many people in this auditorium?)
  3. Ask your child to explain his or her thinking process when solving a problem; indicate you are interested in the strategy he or she used.
  4. Photo of student working with numbers
  5. Involve your child in measuring (the height of buildings, the time it takes to get to the soccer game, the cups of water needed to make a pot of coffee or tea)
  6. When shopping, engage your older child in calculating unit pricing (how much per ounce)
  7. Play games. Cards, board games, and other strategy games develop both simple and complex counting strategies as well as notions of probability, calculations, and logic.