Why Is It Important to Have a Standard Method for Evaluating Expressions?
Content Area: Math
Unit Title: Write and Interpret Numerical Expressions Unit: 7
Target Course/Grade Level: Fifth Grade Timeline: 3 weeks
Unit Summary: Students will use parentheses, brackets and braces with whole numbers, and then use the symbols as they add, subtract, multiply and divide decimals and fractions. Students place grouping symbols in equations to make the equations true or they compare expressions that are given differently. They use their understanding of operations and grouping symbols to write expressions and interpret the meaning of a numerical expression.
Primary interdisciplinary connections: Language Arts and Technology
9.1 21st-Centuries Life & Career Skills
Standard 9.1 All students will demonstrate the creative, critical thinking, collaboration, and problem-solving skills needed to function successfully as both global citizens and workers in diverse ethnic and organizational cultures.
Strand: A. Critical Thinking and Problem Solving
B. Creativity and Innovation
C. Collaboration, Teamwork and Leadership
Content Statement:
9.1.8: A The ability to recognize a problem and apply critical thinking skills and problem
solving skills to solve the problem is a lifelong skill that develops over time.
9.1.8: C Collaboration and team work enable individuals or groups to achieve common goals
with greater efficiency.
Leadership abilities develop over time through participation in group and or teams that
that are engaged in challenging or competitive activities.
9.1.8: B Gathering and Evaluating knowledge and information from a variety of sources,
including global perspective, fosters creativity and innovative thinking.
21st Century themes and skills: Critical Thinking and Problem Solving, Collaboration, Teamwork and
Leadership, Creativity and Innovation
Mathematical Practices:
5.MP.1 Make sense of problems and persevere in solving them.
5.MP.2 Reason abstractly and quantitatively.
5.MP.3 Construct viable arguments and critique the reasoning of others.
5.MP.4 Model with mathematics.
5.MP.5 Use appropriate tools strategically.
5.MP.6 Attend to precision.
5.MP.7 Look for and make use of structure.
5.MP.8 Look for and express regularity in repeated reasoning.
Learning Targets
Domain: Operations and Algebraic Thinking
Cluster: Write and interpret numerical expressions
Standard # / Standards
5.OA.1 / Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
5.OA.2 / Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.
9.1.8.A.1 / Develop strategies to reinforce positive attitudes and productive behaviors that impact critical thinking and problem-solving skills.
9.1.8.A.2 / Implement problem-solving strategies to solve a problem in school or the community.
9.1.8.B.2 / Assess data gathered to solve problems for which there are varying perspective (e.g., cross cultural, gender specific, generational, etc.) and determine how the data can best be used to design the multiple solutions.
9.1.8.C.1 / Determine an individual’s responsibility for personal actions and contributions to group activities.
9.1.8.C.2 / Demonstrate the use of compromise, consensus and community building strategies for carrying out different task, assignments and projects.
9.1.8.C.3 / Model leadership skills during classroom and extracurricular activities.
Unit Essential Questions
- Why is it important to have a standard method for evaluating expressions?
- When do you use the order of operations?
- Computational fluency includes not only the meaning but also the appropriate use of numerical operations.
Unit Learning Targets
Students will ...
- Identify vocabulary needed to create numerical expressions.
- Write and calculate problems using the order of operations.
- Explain what the order of operations means in applying it to numbers.
- Use the distributive property.
Evidence of Learning
Summative Assessment
- Evaluate expressions with more than one operation including parentheses.
- Translate a verbal model to a mathematical expression (VV).
- Describe the steps (process) to follow the order of operations for a given problem.
Equipment needed: Smart Board, white board, Elmo, calculators
Teacher Instructional Resources: Scott Foresman and Addison Wesley
Study Island
Khan Academy Videos
Formative Assessments
- Skill sheets
- Quizzes/Tests
- Student workbook
- Homework
- Math games
- Study Island
Integration of Technology:
- Smart Board to play online games and utilize online resources.
- Kahn Academy Videos
- Elmo – for demonstration
- Scott Foresman – Pearson Success Net -
- Study Island
- - IXL 5th Grade
- - AAA math 5th grade – online interactive activities and problems for the student to complete.
- math lessons and practice of all fifth grade math concepts
Technology Resources:
– Interactive 2.0 instructional and practice site. Students can view instructional videos and complete practice modules for additional practice/remediation.
- Web-based instruction, practice, assessment and reporting built from NJ standards.
- IXL 5th grade online interactive activities for the students to complete
- AAA math 5th grade – online interactive activities and problems for the student to complete.
math lessons and practice of all fifth grade math concepts
Opportunities for Differentiation:
Decelerate: Students will write expression with one or two symbols or operations.
Accelerated: Students will write expressions that require multiple steps and operations in order to be solved. Students will write equations using that will need the orders of operations to be solved.
Teacher Notes:
Students need experiences with multiple expressions that use grouping symbols throughout the year to develop understanding of when and how to use parentheses, brackets and braces. Students need to understand the order of operations.