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< Disciplinary Literacy Virtual Library

Mathematics Lesson Library

The Disciplinary Resource Lesson Library provides support for teachers as they learn and implement disciplinary literacy strategies in mathematics and science.

All lessons in the library have been classroom tested by participating teachers in “Inquiring Minds: Reading to Learn and Innovate in Mathematics and Science (IQ-MS)” research project or by IQ-MS Support Specialists. Additional lessons and other resources, such as professional development modules and other tools, will continually be added to the virtual library.

Lesson Categories

Each category contains multiple lessons.  Click on the lesson title to view the complete lesson.

Search for a Lesson


Data Analysis, Statistics & Probability

Data Analysis, Statistics & Probability

Box-and-Whisker Plots

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Lesson: Download

In this lesson, students will create survey questions, collect data, and construct box and whisker plots of their data.

Standards: CCSS 6.SP.4
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Disciplinary Literacy Strategies: Think-Draw-Share, Gallery Walk, Volley Ball, Not Ping Pong, Exit Slips

Data Analysis, Statistics & Probability

Mean vs. Median

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Lesson: Download

During the lesson, students explore mean and median with heights of their class. Using their data, they determine which is the best, either mean or median, to answer the question they are investigating.

Standards:  CCSS 6.SP.4, CCSS 6.SP.5c

Disciplinary Literacy Strategies: Wait Time, Agreement Circles, Look Back, Quick Write
Data Analysis, Statistics & Probability

Data About Us

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Lesson: Download

In this lesson, students begin to understand the idea of a statistical question and explore three graphical displays: box plot, dot plot and histogram

Standards: CCSS 6.SP.1, CCSS 6.SP.4
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Disciplinary Literacy Strategies: Focused List, Anticipation Guide, Verbal and Visual Word Association (VVWA), Gallery Walk
Data Analysis, Statistics & Probability

Investigating Chance Processes of Probability

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Lesson: Download

In this lesson, students learn that the probability of a chance event is likely, unlikely or neither. Students will also learn to predict the probability of a chance event and compare that prediction to actual observations by collecting data.

Standards:  CCSS 7.SP.5, CCSS 7.SP.6
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Disciplinary Literacy Strategies: Agree and Disagree Statements, Brainstorm (for Likely/Unlikely Activity), Partner Talk (during “Does It Match?” Activity), Exit Slip

Expressions, Equations & Inequalities



Expressions, Equations & Inequalities

Factoring Polynomials

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Lesson: Download

In this culminating lesson, students will produce visual representations of various approaches to factoring polynomial expressions. Students will complete a flow map to show the thought process used when factoring polynomials.

Standards: A.ARP.3

Disciplinary Literacy Strategies: Table Talk, Concept Map, Flow Map (Graphic Organizer)

Expressions, Equations & Inequalities

Inequalities

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Lesson: Download

Students will use 5-3-1 to activate prior knowledge about linear inequalities. By the end of the lesson, they will learn how to solve linear inequalities in one variable and graph the solution.

Standards: A.REI.3
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Disciplinary Literacy Strategies: 5-3-1, Shoulder Partners

Expressions, Equations & Inequalities

Scientific Notation

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Lesson: Download 

In this lesson, students will use Socratic Seminar to discuss an article about Scientific Notation and will learn to convert numbers in standard form to scientific notation.

Standards: 7.EE.3
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Disciplinary Literacy Strategies: Socratic Seminar, Gallery Walk, Exit Ticket 

​Expressions, Equations & Inequalities

The Chocolate Problem

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Lesson: Download

In this problem-based mathematics lesson, students work collaboratively to solve a real world problem about buying chocolate.

Standards: 7.NS.3, 7.EE.4
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Disciplinary Literacy Strategies: Table Talk, Think-Pair-Share Variation
Expressions, Equations & Inequalities 

Factoring Algebraic Expressions 

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Lesson: Download

In this lesson, students will be introduced to factoring algebraic expressions.  Student pairs will factor an expression and write the steps necessary to factor.

Standards: CCSS 7.EE.1, CCSS 7.EE.2

Disciplinary Literacy Strategies: TIPS (Think-Ink-Pair-Share)

Expressions, Equations & Inequalities

Order of Operations

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Lesson: Download

In this lesson, students will review order of operations using Agree/Disagree Statements.

Standards: 6.EE.4
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Disciplinary Literacy Strategies: Agree and Disagree Statements, Exit Ticket

Expressions, Equations & Inequalities

Problem Solving in Pre-Algebra

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Strategy: Download
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Students will work in small groups to continue developing problem solving skills by writing then solving equations from situations presenting in word form. Students will learn how to work cooperatively while focusing on writing the desired equation to solve the problem in each situation.

Standards: CCSS.7.EE.B.3, CCSS.7.EE.B.4
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Disciplinary Literacy Strategies: Highlighting, Collaboration

​Expressions, Equations & Inequalities

Solving Equations

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Lesson: Download

In this lesson, students will use focused listing to activate their knowledge about “identity” and then brainstorm strategies for solving equations. Students will summarize their learning by writing Proof Paragraphs for given equations.

Standards: 8.EE.7

Disciplinary Literacy Strategies: Focused Listing, Brainstorming, Proof Paragraph
Expressions, Equations & Inequalities

Absolute Value with Proof Paragraph

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Lesson: Download

In this lesson, students will use proof paragraph as a structure to analyze the process used to convert information in a chart into a line graph. The essential question for this lesson is “How can you use numbers and symbols to represent mathematical ideas?”

Standards: 7.EE.4
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Disciplinary Literacy Strategies:  Proof Paragraph

​Expressions, Equations & Inequalities

Problem Solving about Expressions

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Lesson: Download

Students learn how to use Strategy Harvest through solving problems, one involving using order of operations (a previously learned concept) and the other problem is a Genie Problem, which can be solved using exponential form (a concept that students are exploring).

Standards: 6.EE.1
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Disciplinary Literacy Strategies: Strategy Harvest

Expressions, Equations & Inequalities

Properties of Exponents

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Lesson: Download

In this lesson, students will work in pairs to examine patterns in products to make conjectures about general rules for the properties of exponents and test their rule on sample problems to test the validity. Students will share their conjectures with the class and use dialogue to come to agreement on the properties of exponents.

Standards: 8.EE.1
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Disciplinary Literacy Strategies:  Focused Listing, Think-Ink-Pair-Share, Give Me Five, Bounce Cards, Making Thinking Visible, Muddiest Point

Functions

Functions

Odd Parabola Out

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Lesson: Download

In this lesson, students will use knowledge learned about the coefficients of a quadratic equation to predict which of three equations’ graphs would be the “odd one out” and then explain why.

Standards: F.BF.3
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Disciplinary Literacy Strategies: Give Me 5, Odd One Out

Geometry & Measurement

Geometry & Measurement 

Angle Pairs

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Lesson: Download

Students will learn to find the measures of unknown angles by applying the unique relationships between angle pairs that are known as vertical, adjacent, and corresponding.

Standards: 7.G.5
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Disciplinary Literacy Strategies:  Verbal Visual Word Association, Most Important Point, Collaborative Groups

Geometry & Measurement 

Rotational Symmetry

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Lesson: Download

Students should have some prior knowledge of the vocabulary term symmetry from the previous lesson. Students will be introduced to rotational symmetry through a video and explore rotational symmetry in letters. Students pairs will determine whether various letters and shapes have rotational symmetry.

Standards: SC 6-4.3
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Disciplinary Literacy Strategies: Partner Dialogue, Exit Slips
Geometry & Measurement 

Congruency

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Lesson: Download

In this lesson, students will work in groups to make predictions about the relationship between congruency and transformations and to prove congruency through a sequence of transformations.

Standards: CCSS 8.G.2
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Disciplinary Literacy Strategies:  Chum Check/Partner Dialogue, Bounce Cards, Give Me Five, Exit Ticket

Geometry & Measurement 

Inverting a Triangular Array 

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Lesson: Download

This problem-based lesson promotes strategic, mathematical thinking, encourage student dialogue and reflection. Students are assigned a problem in which their challenge is to find the BEST solution possible. There should be multiple solution strategies occurring within the classroom and many students will challenge each other. The role of the teacher in this lesson is to facilitate and to question student thinking and encourage student dialogue.

Standards: CCSS.MP.1, CCSS.MP.2, CCSS.MP.3, CCSS.MP.4
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Disciplinary Literacy Strategies: Bounce Cards, Making Thinking Visible, Turn and Talk, Two-Minute Paper
Geometry & Measurement 

Geometry Review

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Lesson: Download

Students should have previously explored how to determine: 1) area of rectangles, parallelograms, triangles, and trapezoids; 2) volume of rectangular prisms, cubes, and triangular prisms; and 3) surface area of cubes, rectangular prisms, and square pyramids.  This lesson is intended as a culmination of applying previous knowledge and assessing student understanding.  Students work in groups to determine which figure in each row is the Odd One Out.  The Odd One Out may be the only one in the row that is correct or it may be the only one in the row that is incorrect. Students may deconstruct figures into its parts, apply known formulas, and/or use notes and tablets to research needed information to assist with determining the Odd One Out.

Standards: CCSS 6.G.1, CCSS 6.G.2, CCSS 6.G.4

Disciplinary Literacy Strategies:  Thumbs Up, Thumbs Down, Odd One Out, Muddiest Point

Geometry & Measurement 

Tiling Design Project

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Lesson: Download
Powerpoint: Download

Students will work in pairs and small groups to create a design using pattern blocks. They will use what they know about how the different shapes are related to the square to find the area of the design.

Standards: 6.G.1
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Disciplinary Literacy Strategies: Paired Verbal Fluency, Making Thinking Visible, Graphic Organizer, Exit Slip

Ratios & Proportional Relationships

Ratios & Proportional Relationships

Applications of Percent: Sales Tax

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Lesson: Download

In this lesson, students will use graphic organizers to apply prior knowledge about fractions, decimals, and percents to determine the amount of sales tax for a given item and the total cost, including tax, for the item.

Standards: 7.RP.3

Disciplinary Literacy Strategies:  Graphic Organizers, Shoulder Partners, Exit Ticket, Muddiest Point 

Ratios & Proportional Relationships 

Unit Rate

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Lesson: Download

In this lesson, students will use their pulse to explore proportional reasoning and unit rates. Connections will also be made to grocery store unit rates and other rates such as speed limit.

Standards: 7.RP.1

Disciplinary Literacy Strategies: Graphic Organizer, Bounce Cards, Making Thinking Visible, Two-Minute Paper
Ratios & Proportional Relationships

Equivalent Ratios

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Lesson: Download

In this lesson students use an anticipation guide to activate their knowledge of equivalent ratios prior to reading a textbook selection on equivalent ratios. Students will learn strategies to determine whether two ratios are equivalent.

Standards: 6.RP.3
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Disciplinary Literacy Strategies: Anticipation Guide
Ratios & Proportional Relationships

Equivalent Ratios with Counters

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Lesson: Download

In this lesson, the students will use yellow and red counters to explore equivalent ratios. An anticipation guide will be used to activate knowledge at the beginning of the lesson and to summarize learning at the end of the lesson.

Standards: 6.RP.1
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Disciplinary Literacy Strategies: Anticipation, Highlighting, Elbow Partners

The Number System

The Number System

Adding and Subtracting Fractions

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Lesson: Download

In this lesson students will use their prior knowledge of adding and subtracting integers and unlike fractions to add and subtract fractions with positives and negatives. Both of these skills have been previously taught and today they are putting the two skills together.

Standards: 7.NS.1
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Disciplinary Literacy Strategies:  Reflective Writing, Elbow Partners

The Number System 

Greatest Common Factor and Least Common Multiple

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Lesson: Download

This is a series of lessons that build an understanding of greatest common factor and least common multiple, preparing students for fraction use and other mathematical concepts. Students will engage in reading, writing, and talking about this concept culminating with an arts-based project developed using Concept Maps.

Standards: 6.NS.4

Disciplinary Literacy Strategies: T-chart, Highlighting, Give Me Five, Concept Map, Most Important Point, Concept Cartoon, Line of Learning, Frayer Model

The Number System

Rational Numbers

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Lesson: Download

During this lesson, students will learn the value of the mathematical practices in applying their understanding of adding and subtracting rational numbers. Students will read an article about rational numbers and use the GIST strategy to formulate a definition for rational numbers.

Standards: 7.NS.1, MP.3, MP.6, MP.7
Disciplinary Literacy Strategies:  GIST Summaries, Table Talk, Highlighting, Venn diagram

The Number System

Squares and Cubes

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Lesson: Download

In this lesson, students will explore numbers that fall between perfect square and cube roots to begin laying a foundation for further study of rational and irrational numbers.

Standards: CCSS 8.NS.2, CCSS 8.EE.2
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Disciplinary Literacy Strategies:   Think Ink Pair Share (TIPS) (Pair with Elbow Partner), Give Me Five, Pairs Squared, Making Thinking Visible (MTV), Gallery Walk, Most Important Point (MIP)
The Number System

Comparing and Ordering Rational Numbers

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Lesson: Download

In this review lesson, students will use their math textbook and knowledge from the previous lessons to complete a graphic organizer for comparing and ordering rational numbers. 

Standards: CCSS 6.NS.7
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Disciplinary Literacy Strategies:  Think-Ink-Pair-Share, Graphic Organizer, Give me “5”, Partner Dialogue, Exit Slips

The Number System

Introducing Bounce Cards in Math Class

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Lesson: Download

In this lesson, students learn about productive dialogue through the use of Bounce Cards. Two students model a math conversation using a prepared script on multiplying and dividing fractions while others identify conversation stems used. This lesson was used as an introduction to bounce cards and a review of multiplying and dividing fractions, which had been previously taught.

Standards: 6.NS
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Disciplinary Literacy Strategies: Bounce Cards

The Number System

Multiplying Integers

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Strategy: Download
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In this introductory lesson, students learn to draw a model for multiplying integers through an inquiry lab, share their models in small groups, and reflect on the application of an algorithm to multiplication of integers.

Standards: 7.NS.2, 7.NS.3
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Disciplinary Literacy Strategies:  Think-Draw-Share, Three Minute Reflection

The Number System

Whole Numbers and Their Opposites

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Lesson: Download

In this lesson, students will be using their understanding of integers and number lines to demonstrate opposite quantities. Students will collaborate and communicate their understanding of mathematical terminology through real-world contexts. By the end of the lesson, students will make conclusions that opposite quantities add to make zero. 

Standards: 7.NS.1a, 7.NS.1b
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Disciplinary Literacy Strategies: Table Talk, Think-Ink-Pair-Share
The Number System

Dividing Rational Numbers

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Lesson: Download

In this lesson students use the chain notes strategy to support student learning of division of rational numbers. Student groups are provided mathematical tasks, some which have been worked correctly and some which have been worked incorrectly. Students take turns commenting on one step of the solved task to determine where the mistake might be, if one exists.

Standards: 7.NS.2

Disciplinary Literacy Strategies:  Chain Notes, Exit Ticket, Elbow Partners, Popsicle Sticks, Thumbs Up, Making Thinking Visible (MTV) 

The Number System

Improper Fractions

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Lesson: Download

In this lesson, students will use manipulatives to explore the connections between improper fractions and mixed numbers.  This lesson is a review lesson in preparation for the grade level standard. 

Standards: CCSS 6.NS.1

Disciplinary Literacy Strategies: Line of Learning (LOL), Thumbs Up, Thumbs Down, Exit Ticket

The Number System

Multiplying Fractions

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Lesson: Download

In this lesson, students will learn the process that is needed in order to multiply fractions.  Students will use a graphic organizer to record their learning about multiplying fractions and apply the process to sample problems. This lesson is a review of multiplying fractions in preparation to learn how to divide fractions. 

Standards: CCSS 6.NS.1
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Disciplinary Literacy Strategies: Graphic Organizer, Exit Ticket

The Number System

Subtracting Integers

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Lesson: Download

This introductory lesson introduces the concept of subtraction as addition of the additive inverse. Students will use number lines and two color counters to find the difference between two integers.

Standards: 7.NS.1
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Disciplinary Literacy Strategies:  Quick Write
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  • Home
  • About Us
    • About Us
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  • We Offer
    • Mathematics Momentum
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    • STEM School Certification Planning and Preparation
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    • Newsletter
    • Strategies and Lessons >
      • Computational Thinking Lessons & Tools >
        • What is Computational Thinking?
        • Math Lessons
        • Science Lessons
        • Tools
      • Digital Breakouts
      • Disciplinary Literacy Strategies and Lessons >
        • Math Lessons
        • Science Lessons
        • Self-Paced Learning Modules
        • Strategy Warehouse
        • Training Guides
    • Instructional Materials Review Process Forms
    • Building a STEM School
    • STEM Framework
    • STEM Opportunity Database
    • Profile of SC Graduate
  • Grants
  • STEM Education Month
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