Unit Overview
|Unit Overview |
|Content Area: Math |
|Unit Title: Percent Unit: 6 |
|Target Course/Grade Level: Seventh Grade Timeline: 3 weeks |
|Unit Summary: This unit focuses on problem solving with percents. Students learn to apply percent proportions, percent equations, and percent |
|estimation skills to real-world problems. Using decimal and fraction equivalents for percents, students solve problems involving percent of |
|change, sales tax, tip, discount, and simple interest. Students will use the reasoning skills they learn to make decisions in the real world |
|about products and services they intend to purchase. |
|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: B Gathering and Evaluating knowledge and information from a variety of sources, |
|including global perspective, fosters creativity and innovative thinking. |
|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. |
|21st Century themes and skills: Critical Thinking and Problem Solving, Collaboration, Teamwork and |
|Leadership, Creativity and Innovation |
|Mathematical Practices: |
|7.MP.1 Make sense of problems and persevere in solving them. |
|7.MP.2 Reason abstractly and quantitatively. |
|7.MP.3 Construct viable arguments and critique the reasoning of others. |
|7.MP.4 Model with mathematics. |
|7.MP.5 Use appropriate tools strategically. |
|7.MP.6 Attend to precision. |
|7.MP.7 Look for and make use of structure. |
|7.MP.8 Look for and express regularity in repeated reasoning. |
|Learning Targets |
|Domain: Ratios and Proportional Relationships |
|Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems |
|Standard # | Standards |
|7.RP.2c |Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items |
| |purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = |
| |pn. |
|7.RP.3 |Use proportional relationships to solve multistep ratio and percent problems. Examples : simple interest, tax, markups and|
| |markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. |
|7.EE.3 |Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with |
| |rational numbers extend the rules for manipulating fractions to complex fractions.) |
|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 |Unit Enduring Understandings |
|What are percents and how are they used in everyday life? |A percent is a ratio that compares a number to 100. |
|How can equivalent fractions be helpful in estimating percents? |In a percent proportion, one ratio represents a part to a whole |
|How can percent equations be applied to real-world problems? |comparison and the equivalent ratio part 100, represents the percent. |
|How is calculating sales tax similar to calculating tips? |A percent of change is a ratio that compares the change in quantity to |
|How are percents related to proportional relationships? |the original amount. |
|Unit Learning Targets |
|Students will ... |
|Find the percent of a number. |
|Estimate the percents by using fractions and decimals. |
|Solve problems using the percent proportion and the percent equation. |
|Find the percent of increase or decrease. |
|Solve problems involving sales tax, tips, discount and simple interest. |
|Evidence of Learning |
|Summative Assessment |
|Find the percent of a number. |
|Solve problems using the percent proportion and percent equation. |
|Solve percent problems finding percent of change, sales tax, tips, amount and percent of discount, and simple interest. |
|Equipment needed: grid paper, counters, number cubes, restaurant menus, bank brochures, Smart Board, white boards, calculators, Elmo |
|Teacher Instructional Resources: Textbook (TBD) |
|Study Island |
|Khan Academy Videos |
|Formative Assessments |
|Skill sheets |Homework |
|Quizzes/Tests |Math games |
|Student workbook |Study Island |
| |
|Integration of Technology: |
|Smart Board to play online games, utilize online resources, generate models with Smart Software. |
|Kahn Academy Videos |
|Elmo – for demonstration |
|Study Island |
|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 7th grade online interactive activities for the students to complete |
| |
| - AAA math 7th grade – online interactive activities and problems for the student to complete. |
| |
| – Grade level material for practice, lessons, games, etc. |
| |
|Opportunities for Differentiation: |
|Decelerate: Students create samples of the three types of percent problems. Exchange and solve them . |
|Using restaurant menus, students order a meal and calculate the bill, including the tax and tip. Have the students calculate the bill with |
|different percentages for sales tax and tip. |
| |
|Accelerated: Students will estimate the percent of a circle that is shaded. Then work to develop a method to check the accuracy of their |
|estimate; ie – using a protractor and the total degrees in a circle. |
|Teacher Notes: |
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