21st Century Lessons: A Boston Teachers Union Initiative
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Resources

Common CoreCommon Core
Introduction to Ratios by 21st Century Lessons: A Boston Teachers Union Initiative
Most PopularLesson plan, Instructions for teachers, Other, Handout
Introduction to Ratios. This lesson will start with reviewing simplifying fractions and then ask students to represent realworld situations as fractions. Students can follow the PowerPoint with the structured notes provided. We will launc…

Common CoreCommon Core
Order of Operations Day 1 (of 2) by 21st Century Lessons: A Boston Teachers Union Initiative
PopularLesson plan, Curriculum/Scope & Sequence, Assessments, Handout
Order of Operations Day 1 (of 2). This is the first lesson of a unit series on the order of operations. This lesson is an exploration around the order of operations with practice. The goal for this lesson is for students to understand that…

Common CoreCommon Core
Writing Algebraic Expressions Day 1 (of 2) by 21st Century Lessons: A Boston Teachers Union Initiative
PopularLesson plan, Curriculum/Scope & Sequence, Assessments, Handout
Writing Algebraic Expressions Day 1 (of 2). This lesson is the third part of the entire unit and the first of two lessons where students will start writing algebraic expressions. This lesson is designed to develop students' ability in writ…

Common CoreCommon Core
Athens and Sparta Day 1 (of 3) by 21st Century Lessons: A Boston Teachers Union Initiative
PopularLesson plan, Curriculum/Scope & Sequence, Other, Activity
Athens and Sparta Day 1 (of 3). This lesson is a series of short independent activities paired with cooperative work with a small group or partner. At the close of the lesson, students will have a grasp of the basic differences in the cult…

Common CoreCommon Core
Review of Ratios and Unit Rates by 21st Century Lessons: A Boston Teachers Union Initiative
PopularLesson plan, Curriculum/Scope & Sequence, Other, Activity
Review of Ratios and Unit Rates. This lesson serves as a complete review of the ratio unit. Students will begin class with a highinterest launch and will brainstorm realworld connections that have been made to ratios and rates. We will t…

Common CoreCommon Core
Introduction to Rate and Unit Rate by 21st Century Lessons: A Boston Teachers Union Initiative
PopularLesson plan, Curriculum/Scope & Sequence, Other, Handout
Introduction to Rate and Unit Rate. This lesson will first review the idea of ratio and then connect this idea to rate and unit rate. We will use a studentfriendly video on a skateboarding bulldog to engage students in learning. Then we w…

Common CoreCommon Core
Ratios and Vocabulary by 21st Century Lessons: A Boston Teachers Union Initiative
PopularLesson plan, Curriculum/Scope & Sequence, Other, Activity
Ratios and Vocabulary. This lesson will begin with a review of how to write ratios and then focus on how students can write ratios in sentence form. Students will start the lesson with a launch of watching a video that uses ratio language.…

Common CoreCommon Core
Writing Algebraic Expressions Day 2 (of 2) by 21st Century Lessons: A Boston Teachers Union Initiative
PopularLesson plan, Curriculum/Scope & Sequence, Assessments, Handout
Writing Algebraic Expressions Day 2 (of 2). Part four of the whole unit, this is the second lesson where students will continue their learning of translating written expressions and writing algebraic expressions. This lesson focuses more o…

Common CoreCommon Core
Ratio Tables and Graphing by 21st Century Lessons: A Boston Teachers Union Initiative
Lesson plan, Curriculum/Scope & Sequence, Other, Activity
Ratio Tables and Graphing. This lesson will first review students’ knowledge of applying ratio tools to solve realworld problems. We will first look at a recipe and ask students to answer questions about making multiple batches of cookies…

Common CoreCommon Core
Surface Area of a Rectangular Prism Day 1 (of 2) by 21st Century Lessons: A Boston Teachers Union Initiative
Lesson plan, Curriculum/Scope & Sequence, Other, Activity
Surface Area of a Rectangular Prism Day 1 (of 2). This lesson is bookended with a comical context designed to engage students and provide a reason for the direct instruction. Animation and color coding are used to highlight the structure o…

Common CoreCommon Core
Order of Operations Day 2 (of 2) by 21st Century Lessons: A Boston Teachers Union Initiative
Lesson plan, Curriculum/Scope & Sequence, Assessments, Handout
Order of Operations Day 2 (of 2). This is the second lesson in the whole unit and it covers all aspects of the order of operations. The main objective of this lesson, besides more practice with the order of operations, is to have students …

Common CoreCommon Core
Introduction to Tape Diagrams by 21st Century Lessons: A Boston Teachers Union Initiative
Lesson plan, Curriculum/Scope & Sequence, Other, Activity
Introduction to Tape Diagrams. This lesson begins with a review of what a ratio is and has students identify various ratios for a given situation. They will also watch a short video that showcases ratios in use in everyday life. There is a…

Common CoreCommon Core
Real World Rate and Unit Rate Problems by 21st Century Lessons: A Boston Teachers Union Initiative
Lesson plan, Curriculum/Scope & Sequence, Other, Handout
Real World Rate and Unit Rate Problems. This lesson will begin with a review of finding unit rate in a realworld situation. Then students will be introduced to finding unit rates using decimals, like Usain Bolt's time. We will then ask st…

Common CoreCommon Core
Introduction to Integers by 21st Century Lessons: A Boston Teachers Union Initiative
Curriculum/Scope & Sequence, Handout, Presentations
Introduction to Integers. Integer Operations. This is the fourth lesson from the Number Sense unit. This lesson is designed to help students understand and use positive and negative numbers to represent quantities in real world contexts, e…

Common CoreCommon Core
Evaluating Expressions by 21st Century Lessons: A Boston Teachers Union Initiative
Lesson plan, Curriculum/Scope & Sequence, Handout
Evaluating Expressions. This lesson is designed to be implemented following the previous lessons in this unit. This lesson demonstrates how to evaluate algebraic expressions. The focus shows a process of substituting in numbers into any al…

Common CoreCommon Core
Introduction to Ratio Tables by 21st Century Lessons: A Boston Teachers Union Initiative
Lesson plan, Curriculum/Scope & Sequence, Other, Activity
Introduction to Ratio Tables. The lesson begins with a review of the ratios for Abby and Zack's orange paint. These characters will continue to present overarching context for the problem solving lessons. Students will also watch a short v…

Common CoreCommon Core
Area of Triangles by 21st Century Lessons: A Boston Teachers Union Initiative
Lesson plan, Curriculum/Scope & Sequence, Handout, Activity
Area of Triangles. This lesson combines both a constructivist and direct instruction approach in supporting students in developing a solid understanding of area of any triangle. The constructivist portion occurs while students are working

Common CoreCommon Core
Solving Percent Problems with a Double Number Line by 21st Century Lessons: A Boston Teachers Union Initiative
Lesson plan, Curriculum/Scope & Sequence, Other, Handout
Solving Percent Problems with a Double Number Line. This lesson extends students’ understanding of ratios to include thinking about the relationship of part to whole in a reallife situation and the percent equivalence. Rather than teachin…

Common CoreCommon Core
Using Tape Diagrams with PartWhole Ratio Problems by 21st Century Lessons: A Boston Teachers Union Initiative
Lesson plan, Curriculum/Scope & Sequence, Other, Activity
Using Tape Diagrams with PartWhole Ratio Problems. This lesson is predominantly guided practice intended to help students to acquire the ability to use a tape diagram for ratio problems involving a total. Students will receive a worksheet…

Common CoreCommon Core
Introduction to Absolute Value by 21st Century Lessons: A Boston Teachers Union Initiative
Lesson plan, Curriculum/Scope & Sequence, Other, Assessments
Introduction to Absolute Value. This lesson is designed to introduce students to the concept and usage of absolute value. It is tied to the second part of the common core standard 6.NS.7. Lesson Objective: Students will be able to use a…