mathematics 6th grade math standard 1 - . use the thirsty for ratio lesson plan. 2. use the ratios,...

Mathematics 6th Grade Math Standard 1.1

6.Math.1.1 Quantities can be expressed and compared using ratios and rates Essential Questions - 21st Century Skills and Readiness Competencies:

1. How are ratios different from fractions?

2. What is the difference between quantity and number?

3. What kinds of information can you get from a ratio?

4. How and why can ratios and rates be used in the real world?

5. How can we describe a relationship between two quantities?

6. What is unit rate?

7. What are ways to find equivalent ratios?

8. What is percent and why would you use percent to find a quantity?

9. How can you use a ratio to convert measurement units?

Evidence Outcomes: 1. Apply the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

2. Apply the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.

3. Use ratio and rate reasoning to solve real-world and mathematical problems.

a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane.

b. Use tables to compare ratios.

c. Solve unit rate problems including those involving unit pricing and constant speed.

d. Find a percent of a quantity as a rate per 100.

e. Solve problems involving finding the whole, given a part and the percent.

f. Use common fractions and percents to calculate parts of whole numbers in problem situations including comparisons of savings rates at different financial institutions.

g. Express the comparison of two whole number quantities using differences, part-to-part ratios, and part-to-whole ratios in real contexts, including investing and saving.

h. Use ratio reasoning to convert measurement units.

Copyright © 2013 South Central Board of Cooperative Educational Services and Education Designs.Copyright © 2013 South Central Board of Cooperative Educational Services and Education Designs. 150

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Academic Vocabulary:

ratio unit rate rate coordinate plane constant speed percent fraction rate quantity proportion equivalent fractions equivalent ratios ordered pairs axis (x and y) quadrants simple interest cross products

Assessment: All assessments are found in the suggested activities links, correlating with their numbers, unless listed below. 1. Use the Lesson Assessment for "Thirsty for Ratios" link. 2. Use the "Proportion Frayer Model" assessment link. 3 & 4. Play interactive game and use score as assessment. 5. Assessment can be any one of the activities located in "Teacher's Guide." Includes answer key. 6. Use score from the "Jeopardy' game as assessment. 7. Use "OLIF" answers as assessment. 8. Use quiz for "Percent Game" located below. 9. Use any worksheet as assessment. 10. Use learner's guide in link below to assess understanding of "Overruled Video." 11. Use the final product for assessment of the "Making a Scale Using Ratios" activity. 12 & 13. Assessments are located within the lessons. 1. Lesson Assessment Thirsty for Ratios 2. Proportion Frayer Model 8. Percent Game Quiz 10. Overruled Learner's Guide 10. Overruled Instructor's Guide with Answer Key

Suggested Activities/Strategies: Resources/Technology:


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For all activities listed below, the links are numbered to correlate with each activity.

1. Use the Thirsty for Ratio Lesson Plan.

2. Use the Ratios, Rates, Proportion Lesson Plan.

3. Ratio Stadium is an arcade game in which players have to find equivalent ratios- quickly and accurately. Play can be against friends, against the computer, or against other ratio players from around the world. (Good tool for differentiation.)

4. Ratio Blaster is a one-person Space Invaders style game on identifying equivalent fractions. (Good tool for differentiation.)

5. View the Bad Date Video to address the number and operations standards and the process standard, as established by the National Council of Teachers of Mathematics (NCTM). Links include the Bad Date video, learner's guide (pdf), teacher's guide (pdf), plus bonus activities. Presents ratios that can represent part-whole or part-part relationships, extend patterns using proportional relationships, and 1:1 ratios found in everyday situations.

6. Play Coordinate Plane Jeopardy. This game tests knowledge of the coordinate plane.

7. Practice Percent Problems using the OLIF Blog Spot. Site can be used for Problem of the Day.

8. Play the Percentage Game. This link includes a BBC video, lesson, game, and quiz. It is a computer-based activity that can be adapted to each class.

9. Drill and practice ratios and percents with

PARCC offers instructional and assessment support. Click on the tab "In the Classroom" and at the model frameworks for math.

Illustrative Mathematics contains examples of tasks designed by the makers of the CCSS-M (Common Core State Standards of Mathematics.)

Inside Mathematics has tasks, rubrics, and discussion questions that correlate with PARCC and Smarter Balance.

Math Arizona has explanations and overviews for how the mathematics strands progress from one year to the next.

Math Shell is Mathematics Assessment Resource Service (MARS) from the Shell Centre in Nottingham, England and it contains a number of performance tasks.

Achieve the Core is from Student Achievement Partners, a nonprofit organization that assembles educators and researchers to design actions based in evidence that will substantially improve student achievement.

Balanced Assessments is a site with free performance tasks to use in your classroom.

Ratio Website Mathematics Interactive Website Internet4Classrooms E-themes E-books on Ratios Utah Education Network Math Mania Unit Rate Worksheet #1 Unit Rate Worksheet #2


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worksheets from helpingwithmath.com. Choose the worksheets that will work for lesson of study.

10. Use the Overruled Activity on ratios, proportions, and converting measurements using ratios and proportions. Upon completion of video, activities in Learner Guide, and at least one bonus activity, students will learn various mathematical techniques for finding missing parts of a proportion, including tables, graphs, measurements, and equations, graphing proportions on a coordinate plane results as a linear graph, proportions as multiplicative situations, and application problems using units that can help to set up the correct proportion.

11. Use the Make a Map Scale Using Ratios link.

12. If you have a SmartBoard or Airliner go to Smart Exchange and choose from multiple lessons.

13. Go to Share My Lesson and choose from multiple Lessons.

1. Thirsty for Ratios 2. Ratios, Rates, Proportion Lesson Plan 3. Ratio Stadium 4. Ratio Blaster 5. Bad Date Learner's Guide 5. Bad Date Teacher's Guide 5. Bad Date Comic Book Transcript 5. Bad Date Video 6. Coordinate Plane Jeopardy Game 7. OLIF Blog Spot 8. Percent Game Lesson 8. Interactive Percent Game 9. Helping with Math Worksheets

Unit Rate Worksheet #3 Unit Rate Worksheet #4 Unit Rate Worksheet #5 Unit Rates with Speed and Price Word Problems Video on Converting Measurements YouTube Video on Converting Measurements Lego Ratios Ratio/Rate PowerPoint Introduction to Ratios Introduction to Ratios #2


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10. Overruled Video 11. Making a Scale Using Ratios 12. Smart Exchange 13. Share My Lesson


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6.Math.1.2 Formulate, represent, and use algorithms with positive rational numbers with flexibility, accuracy, and efficiency

Essential Questions - 21st Century Skills and Readiness Competencies:

1. Why might estimation be better than an exact answer?

2. How do operations with fractions and decimals compare to operations with whole numbers?

3. What is an algorithm for each operation?

4. What are the mathematical terms used for the answers to division, multiplication, addition, or subtraction problems?

5. What is the rule for lining up decimals in addition and subtraction? Multiplication? Division?

6. What is Greatest Common Factor (GCF) and how do you find the GCF of a set of numbers?

7. What is the Least Common Multiple (LCM) and how do you find the LCM of a set of numbers?

8. What is the distributive property?

9. How do you add and subtract fractions?

10. How do you multiply fractions?

11. How do you divide fractions?

12. How can you use models to visually represent a problem?

Evidence Outcomes:

1. Fluently divide multi-digit numbers using standard algorithms.

2. Fluently add, subtract, multiply, and divide multi-digit decimals using standard algorithms for each operation.

3. Find the greatest common factor of two whole numbers less than or equal to 100.

4. Find the least common multiple of two whole numbers less than or equal to 12.

5. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.

6. Interpret and model quotients of fractions through the creation of story contexts.

7. Compute quotients of fractions.

8. Solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.


algorithms rational numbers greatest common factor (GCF)

Assessment: All assessments are found in the suggested activities links, correlating with their numbers, unless listed below.




least common multiple (LCM) distributive property factor multiple quotient product fraction decimal sum difference simplify (reduce) dividend divisor reciprocal multiplicative identity mixed numbers improper fractions

1. Use any worksheet from Math Drills for assessment. 2. Use the Division Fractions Worksheet for informal or formal assessment. Use the worksheet or problems on p. 38 from the link provided in the Suggested Activities section. The answer key is found on p. 38. 3. Use the GCF/LCM card game as assessment. 4. Use the Venn Diagram as assessment. 5. Use the True/False problems as assessment. It is suggested to use individual dry erase board for students to display responses. 6, 7, & 8. Use a worksheet or combination of worksheets as assessment. 9. For the Primes and Factor PowerPoint activity, have students write answers down and turn in or have them display answers using individual dry erase boards.

Suggested Activities/Strategies:


1. Navigate to the link for Math Drills for numerous fraction worksheets across levels of difficulty.

2. Use the Division of Fractions Using Reciprocals link (CPM Practice workbook pp. 37-38 of pdf).

3. Play the Greatest Common Factor/Least Common Multiple Card Game. Students match a card with two numbers to a card with a greatest common factor and lowest common multiple.

Resources/Technology:






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4. Use the The Venn Factor Lesson link to sort prime factors of two or more positive integers. Students calculate the greatest common factor by multiplying common prime factors and develop a definition based upon their exploration.

5. Show the True/False Problems PowerPoint and have students identify the false statements.

6. Use the Drill and Practice with Decimal Worksheets for different operations in evaluating decimals.

7. Use the Drill and Practice with GCF/LCM worksheets.

8. Use the Drill and Practice Comparing and Dividing worksheets.

9. Use the Find the Mistake Primes and Factor PowerPoint.

1. Math Drills Worksheets 2. Skillbuilder Worksheets 3. Cards for GCF/LCM Game 4. The Venn Factor 5. PowerPoint of True/False Problems 6. Adding Decimals Worksheet 6. Adding Decimals Worksheet #2 6. Subtracting Decimals Practice 6. Subtracting Decimals Practice #2 6. Multiplying Decimals Practice 6. Multiplying Decimals Practice #2 6. Multiplying Decimals Practice #3 6. Multiplying Decimals Practice #4 6. Dividing Decimals Practice 6. Dividing Decimals #2 6. Dividing Decimals #3 7. Prime Factorization Worksheet




Free Word Problems Kahn Academy Multiplying Fractions Word Problem Video Site for Math Worksheets Dividing Decimals Worksheets Decimal Worksheets Least Common Multiple Activity Least Common Multiple Game Hot Dog Activity Math Concentration GCF Game Share My Lesson


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7. Prime Factorization Worksheet 2 7. GCF Worksheet 7. GCF Worksheet #2 7. Multiples Worksheet 7. Multiples Worksheet #2 8. Comparing Fractions Worksheet 8. Fractions and Percents Worksheet 8. Fractions, Decimals, Percents Worksheet #2 8. Dividing Decimals Worksheet 8. Dividing Fractions Worksheet #2 8. Dividing Mixed Numbers Worksheet 9. Primes and Factors PowerPoint


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6.Math.1.3 In the real number system, rational numbers have a unique location on the number line and in space


1. Why are there negative numbers?

2. How do we compare and order numbers?

3. Are there more rational numbers than integers?

4. In what type of system do rational numbers have a unique location on the number line and in space?

5. Explain why positive and negative numbers are used together to describe quantities having opposite directions or values.

6. What is a rational number? How is a rational number described on a number line?

7. What is a number line diagram?

8. How do we find and position pairs of integers and other rational numbers on a coordinate plane?

9. What is absolute value?

10. How do we compare and order numbers?

Evidence Outcomes:

1. Explain why positive and negative numbers are used together to describe quantities having opposite directions or values and use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of zero in each situation.

2. Use number line diagrams and coordinate axes to represent points on the line and in the plane with negative number coordinates.

a. Describe a rational number as a point on the number line.

b. Use opposite signs of numbers to indicate locations on opposite sides of 0 on the number line.

c. Identify that the opposite of the opposite of a number is the number itself.

d. Explain when two ordered pairs differ only by signs and/or the locations of the points are related by reflections across one or both axes.

e. Find and position integers and other rational numbers on a horizontal or vertical number line diagram.

f. Find and position pairs of integers and other rational numbers on a coordinate plane.

3. Order and find absolute value of rational numbers.

a. Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.




b. Write, interpret, and explain statements of order for rational numbers in real-world contexts.

c. Define the absolute value of a rational number as its distance from zero on the number line and interpret absolute value as magnitude for a positive or negative quantity in a real-world situation.

d. Distinguish comparisons of absolute value from statements about order.

4. Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane including the use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.


quantity number system number line diagram coordinate axes coordinates point ordered pair reflection x-axis y-axis rational number number line integers horizontal vertical coordinate plane absolute value inequality quadrant positive numbers negative numbers real number system

Assessment: All assessments are found in the suggested activities links, correlating with their numbers, unless listed below. 1. Use Jeopardy as an informal assessment. Split the class into pairs or teams and project the activity onto the board or a screen. The pairs or teams could work together to determine the answer and record their team-generated response on a dry erase surface to show or for individual assessment, each student could provide a response independently. 2. Select an appropriate worksheet from Math-drills.com for use as informal or formal assessment. 3. Sing the Song can be used as an informal assessment. Observe students as they sing the song during whole group. Informally observe the effectiveness of this activity as the students apply the skill in other math activities and assessments.



4. Graphing Ordered Pairs can be used as an informal or formal assessment. Use student performance on ordered pairs worksheet of teacher's choice as assessment. 5. Students can complete the worksheets found in the Number Rights Learner's Guide. Answer key is linked. 6. The Positive and Negative Numbers in Context Lesson Plan can be used as an informal or formal assessment. The Teacher's Guide provides the lesson and solutions and the Student Materials contain the worksheets and student activities which can be used for assessment. 7. Use the Integer Card Game as an informal assessment. Observe individual performance as students play the game with peers OR assess individually by playing the game with each student and then rotating to work with a new student after each game ends. The students can also change partners after each game. 8. Use the Integer Flash as an informal assessment. Observe individual performance as students play the game with peers OR assess individually by playing the game with each student and then rotating to work with a new student after each game ends. The students can also change partners after each game. 9, 10, 11, & 12. Assessments are located within lessons. 5. Number Rights Learner Guide 5. Number Rights Answer Key 8. Integer Flash











1. Play Jeopardy to add, subtract, multiply, divide integers.

2. Navigate Math-drills.com to the link in the resources column. Find worksheets for comparing integers, adding, subtracting, multiplying, and dividing integers.

3. Sing the song to the rules for positive and negative integers.

4. Use the "Graphing Ordered Pairs in Single Quadrant" or "Four Quadrant Worksheets". There are several worksheets including using ordered pairs to form pictures such as, airplanes, Mario, Scooby Doo, and the Pink Panther.

5. Show the "Number Rights" video and use the activities in Learner Guide. Use at least one bonus activity. Students will learn properties of the numbers, plot numbers, order numbers on the number line, and will know how to use the number line as a visual model for mathematical operations. Note: If technology is a limitation, then use the transcript instead of the video.

6. Use the Positive and Negative Numbers in Context: Lesson Plan, Performance Task, and Activities.

7. Use the Lesson Plan and play the Integer Card Game.

8. Use the Lesson Plan and play Integer Flash.

9. If you have a SmartBoard or Airliner go to Smart Exchange and choose from a variety of lessons.

10. Go to Share My Lesson and choose from a variety of lessons.







Algebra I Resources PowerPoint Resources Line Jumper Game Site with Multiple Games E-themes Purple Math Absolute Value Math is Fun Absolute Value Song for Solving Positive/Negative Numbers Integer Unit


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11. Use the Negative Number, Positive Number, Absolute Value Lesson Plan to explain and use the terms negative number, positive number, and absolute value.

12. Use the Absolute Value Lesson Plan for students to recognize absolute value as a distance from zero. Solve problems involving absolute value.

13. Use the Integer and Absolute Value Lesson Plan to compare and order integers and to evaluate expressions containing absolute values.

1. Jeopardy Game 2. Math Drills 3. Song for Positive Negative Integers 4. Coordinate Graphing 5. Number Rights Learner Guide 5. Number Rights Video 5. Number Rights Transcript 6. Positive/Negative Numbers in Context Lesson Plan 7. Face Off! Integer Card Game 7. Integer Card Game 8. Integer Flash 9. Smart Exchange 10. Share My Lesson 11. Positive/Negative/Absolute Value Lesson Plan 12. Absolute Value Lesson Plan 13. Lesson Plan on Integers and Absolute Value


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6.Math.2.1 Algebraic expressions can be used to generalize properties of arithmetic Essential Questions - 21st Century Skills and Readiness Competencies:

1. What are variables and why are they used?

2. What purposes do variable expressions serve?

3. What are some advantages to being able to describe a pattern using variables?

4. Why does the Order of Operations exist?

5. What procedure would you use to perform the order of operations?

6. What is an exponent? Why are exponents used?

7. What does equivalent mean?

8. What are the mathematical terms used in addition, subtraction, multiplication, and division?

9. How could finding equivalent expressions help mathematicians to display data?

Evidence Outcomes:

1. Write and evaluate numerical expressions involving whole-number exponents.

2. Write, read, and evaluate expressions in which letters stand for numbers.

a. Write expressions that record operations with numbers and with letters standing for numbers.

b. Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient) and describe one or more parts of an expression as a single entity.

c. Evaluate expressions at specific values of their variables including expressions that arise from formulas used in real-world problems.

d. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations.)

3. Apply the properties of operations to generate equivalent expressions.

4. Identify when two expressions are equivalent.


exponents arithmetic variable sum term product factor quotient

Assessment: All assessments are found in the suggested activities links, correlating with their numbers, unless listed below. 1. The Order of Operations Millionaire Game score can be used as assessment. 2. Watch the What is Order of Operations video and pair students up to complete




coefficient order of operations equivalent symbol

examples, have them make up their own examples, and/or the teacher can create a few additional examples for them to work. 3. Choose an Order of Operations worksheet as assessment. 4. Watch the Backpack video and use critical questioning to determine if students are understanding concepts. Students may also pair up, partner-write some examples, and have peers evaluate. 5. Use the Patterns worksheet for an assessment. 6. Watch the Virtual Teacher video and assess through critical questioning and by having students write their own example to submit as a "Ticket Out the Door." 7. Use any Evaluating Expressions Drill and Practice worksheet as assessment. 8. Use outcomes from The Amazing Equation Race as informal assessment. 9, 10, & 11. Assessment is built into the lesson. 8. The Amazing Equation Race

Suggested Activities/Strategies (District):


1. Play the Order of Operations Millionaire Game. This game can be used as a whole group activity or individually as a quick assessment to determine students’ abilities to solve Order of Operations equations.

Resources/Technology (District):










2. Show the What is Order of Operations video as a quick lesson for describing the purpose of Order of Operations and why it is important to follow.

3. Select any of the many choices of Order of Operations worksheets. Samples include all operations and levels of complexity.

4. The Backpack video on exponents is a tutorial video can be used as a tool to reinforce exponents.

5. Use the Patterns worksheets to present patterns in picture form and number form. There are also worksheets for using a rule given in words to produce the pattern in numbers and then for writing the rule in symbolic form.

6. Use the Virtual Teacher video lesson on variables.

7. Use the Evaluating Expressions Drill and Practice. See link for Evaluating Expressions Worksheets under Resources.

8. Conduct The Amazing Equation Race Lesson.

9. Use the One-Step Equation Lesson Plan.

10. If you have a SmartBoard or Airliner, go to Smart Exchange and choose from a variety of lessons.

11. Go to Share My Lesson and choose from a variety of lessons.

1. Millionaire Game 2. Virtual Nerd Order of Operations Video 3. Math Drill Worksheets 4. Backpack Video on Exponents





EZ School Site for Worksheets One-Step Equations Worksheet One-Step Equations Pong Video on One-Step Equations Khan Academy Algebra Lab Solving One Step Equations Virtual Nerd Fraction One-Step Equations One-Step Equation Word Problems PowerPoint Math Goodies Purple Math Exponents Rules Cool Math Exponents Lessons Exponent PowerPoints Exponent PowerPoints #2


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5. Patterning Math Drills Worksheets 6. Virtual Nerd Video 7. Evaluating Expressions Worksheets 8. The Amazing Equation Race 9. One-Step Equations Lesson Plan 10. Smart Exchange 11. Share My Lesson


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6.Math.2.2 Variables are used to represent unknown quantities within equations and inequalities


1. Do all equations have exactly one unique equation? Why?

2. How can you determine if a variable is independent or dependent?

3. What does a variable represent?

4. How do you use variables to represent numbers and write expressions to solve real-world mathematical problems?

5. How can variables simplify and model real-world situations?

6. What is the relationship between dependent and independent variables?

Evidence Outcomes:

1. Describe solving an equation or inequality as a process of answering the question, "Which values from a specified set, if any, make the equation or inequality true?"

2. Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

3. Recognize that a variable can represent an unknown number, or depending upon the purpose, any number in a specified set; use variables to represent numbers and write expressions when solving real-world or mathematical problems.

4. Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

5. Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem.

6. Show that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.

7. Represent and analyze quantitative relationships between dependent and independent variables.

a. Use variables to represent two quantities in a real-world problem that change in relationship to one another.




b. Write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable.

c. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.


symbols data variables quantity equation inequalities set substitution rational numbers number line diagram dependent variable independent variable solution

Assessment: All assessments are found in the suggested activities links, correlating with their numbers, unless listed below. 1. Use the link to assess algebraic equations, inequalities, and properties for addition, subtraction, multiplication, division, and two-step equations. 2. Print free Pre-Algebra Worksheets and use as assessment. The link also contains worked examples and guidance for students. 3. Use IXL Games Expressions, Equations, and Inequalities (Algebra) for informal or formal assessment. Project the activity on a board and have the students record their responses for each problem presented, then collect the assessment and score. 4. You Can Be a Millionaire (Algebraic Expressions) can be used for informal assessment. In order to assess the students during the activity, consider splitting the class into teams then project the activity on a board. Individuals can record their responses for each problem on a dry erase board, collaboratively deliberate responses, then select and present a team response. 5. Use the Poster Project as assessment to determine student understanding of dependent and independent variables.



6. Use the Rhythm Track Activity as assessment for investigating and describing the relationship amongst variables. 7. Use the Distributive Property and Simplifying Expressions Activity worksheets as assessment. 8 & 9. Assessments are built into the lessons. 1. Inequalities Worksheets and Quizzes

Suggested Activities/Strategies: For all activities listed below, the links are numbered to correlate with each activity.

1. Use the Inequalities Video link to demonstrate how to solve inequalities.

2. The Equations Worksheets link focuses on skills from writing basic equations to solving two-step equations.

3. Use the link for IXL Games Expressions, Equations, and Inequalities (Algebra) to access a variety of activities related to expressions, equations, and inequalities for whole group instruction or for independent study.

4. Play the You Can Be a Millionaire game for reinforcing Algebraic Expressions. This activity could also be used in a competitive manner to review algebraic expressions by splitting the class into teams.

5. Use the Poster Project for teaching independent and dependent variables.

6. Implement the Rhythm Track Activity to investigate and describe the relationships among variables in real-world scenarios. The activity demonstrates the use of ratios in geometric relationships and musical tones. Materials needed are food cans of various sizes with only one end opened and a musical keyboard of any kind.










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7. Complete Worksheets for simplifying expressions, distributive property, and combining like terms.

8. Go to Share My Lesson and choose from a variety of 21st Century Lessons.

9. If you have a SmartBoard or Airliner, go to Smart Exchange and choose from a variety of lessons.

1. Inequality Video 2. Equations Worksheets 3. IXL Expressions, Equations, and Inequalities 4. You Can Be a Millionaire 5. Poster Project 6. The Rythm Track Video 6. The Rythm Track Activity 7. Distributive Property Worksheet 7. Simplifying Expressions Worksheet 7. Simplifying Expressions #2 Worksheet 8. Share My Lesson 9. Smart Exchange

Math is Fun Substitution Purple Math Solving Linear Equations w/Substitution Basic Rules for Inequalities Speed Math Games YouTube Video Inequalities Worksheets4kids Inequalities Graphing Tutorial Graphing Guidelines Independent Dependent Graphing Examples Inequalities Video


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6.Math.3.1 Visual displays and summary statistics of one-variable data condense the information in data sets into usable knowledge


1. What is the purpose of describing data and when would data need to be described?

2. When is one data display better than another?

3. When is one statistical measure better than another?

4. What makes a good statistical question?

5. How can data collected to answer a statistical question be described?

6. What is the difference between measure of central tendencies and measure of variation?

7. How can you summarize numerical data sets in relation to their context?

Evidence Outcomes:

1. Identify a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.

2. Demonstrate that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.

3. Explain that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.

4. Summarize and describe distributions.

a. Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

b. Summarize numerical data sets in relation to their context.

i. Report the number of observations.

ii. Describe the nature of the attribute under investigation, including how it was measured and its units of measurement.

iii. Give quantitative measures of center (median and/or mean) and variability (inter quartile range and/or mean absolute deviation), as well as describe any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.




iv. Relate the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.


statistic statistical question variable data measure of central tendencies spread distributions dot plots histograms box plots median mean variability measure of variation mode range quartiles frequency tables

Assessment: All assessments are found in the suggested activities links, correlating with their numbers, unless listed below. 1. Use the worksheet provided for the Mean, Median, Mode, and Range Guide. 2. Use the Probability of Simple Event for informal or formal assessment. Choose any worksheet applicable to the lesson. Answer keys provided. 3. Use the worksheets as assessments. Answer keys are provided.

4. Use IXL 6th Grade Math Charts and Graphs as informal or formal assessment. In order to assess the students, project the activity on a board and have the students record their responses for each problem presented, then collect and score. (Use either the “Interpret _____ graph” activity or “Choose the best type of graph” activity.) 5. Use the IXL 6th Grade Math Statistics as an informal or formal assessment. In order to assess the students, project the activity on a board and have the students record their responses for each problem presented, then collect and score. 6. Use the Study Jams Data Analysis (Mean, Median, Mode, and Range) as an informal or formal assessment. In order to assess the students, project the Test Yourself activity on a board and have the students record their responses for each problem presented, collect, and score.



7. Use the Study Jams Data Analysis (Graphs) as an informal or formal assessment. In order to assess the students, project the Test Yourself activity on a board and have the students record their responses for each problem presented, then collect and score.

8. Have students display their answers during the Probability Games.

9. The Probability of Simple Event can be used as informal or formal assessment. Choose any worksheet that is applicable to the lesson for the assessment. Answer keys provided.

10. Use the Tree Diagram link for a graphic organizer to be used as assessment.

11. The Probability of Simple Event can be used as an informal or formal assessment. Choose any worksheet that is applicable to the lesson for the assessment. Answer keys provided.

12 & 13. Assessments are built into each lesson.

1. Mean, Median, Mode Worksheet 2. Probability Worksheets 9. Simulation Probability Worksheets 11. Probability Simple Events



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Suggested Activities/Strategies: For all activities listed below, the links are numbered to correlate with each activity.

1. Use the Mean, Median, Mode, and Range Guide to provide worksheets for the definitions of and practice on Mean, Median, Mode, and Range. Teachers can also use the site to create original worksheets.

2. Conduct the Probability of Simple Event video lesson.

3. Use Worksheets for mean, median, mode, range, broken line graphs, circle graphs, pictographs, dice probability, and spinner probability.

4. Implement the IXL 6th Grade Math Charts and Graphs activity for whole group instruction or for independent work. This link will assist in creating a variety of charts and graphs, such as stem-and-leaf plots, line plots, frequency tables, bar graphs, double bar graphs, histograms, circle graphs, line graphs, and box-and-whisker plots.

5. The IXL 6th Grade Math Statistics activity can be used for whole group instruction or students can independently complete these activities. This link will assist in calculating and interpreting mean, median, mode, range, and in identifying representative, random, and biased samples.

6. Use the Study Jams Data Analysis (Mean, Median, Mode, and Range) activity for whole group or independent practice on mode, median, mode, and range. Each measure of central tendency provides a catchy tune to assist students in identifying meaning and a game to test knowledge of the statistical concept.

7. Use the Study Jams Data Analysis (Graphs) activity for whole group or independent









Math Worksheet Island Measure of Spread Lesson Mean, Median, Mode Activity Measure of Variability Tutorial Dot Plot Lesson YouTube Video on Dot Plots Interactive Dot Plot Interactive Histogram Multiple Lesson Plan Links









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learning on how to create line plots, bar graphs, circle graphs, pictographs, stem-and-leaf plots, and histograms, as well as teaching how to choose the correct graph. After the demonstration is completed, there is also the option to test graphing knowledge.

8. The Probability Game" website has different scenarios that either an individual student or whole group could solve. If an incorrect response is given, strategies and hints are provided. There are also probability videos.

9. Use Probability Simulations to simulate games (e.g., basic coin and dice games, Seven Keys, and Monty Hall.) Single experiments or simulate multiple experiments can be run. The site keeps track of the results to demonstrate experimental and theoretical probability.

10. The Tree Diagram website generates a tree diagram and demonstrates the Multiplication Counting Principle.

11. Play Probability Games. This site has probability, graphing linear equations, data analysis, and probability games and scenarios.

12. At Share My Lesson, there are multiple lessons on the Measure of Center and the Measure of Variability.

13. If you have a SmartBoard or Airliner, go to Smart Exchange and look at the lessons on dot plots, box-and-whiskers, histograms, etc.

1. Mean, Median, Mode Study Guide 2. Probability Simple Event Video 3. Probability Worksheets 4. IXL Chart and Graphs

Statistical Questions PowerPoint


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3. Additional Worksheets 5. IXL Statistics 6. Study Jams Central Tendancy 7. Study Jams Data Display 8. Probability Game 9. Simulations 10. Tree Diagram 11. Probability Simulations 12. Share My Lesson 13. Smart Exchange


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6.Math.4.1 Objects in space and their parts and attributes can be measured and analyzed Essential Questions - 21st Century Skills and Readiness Competencies:

1. Can two shapes have the same volume but different surface areas? Why?

2. Can two figures have the same surface area but different volumes? Why?

3. What does area tell you about a figure?

4. What properties affect the area of figures?

5. How can you find the area of figures?

6. How are area and surface area different?

7. How can you find the volume of figures?

8. What is the difference between area and volume?

9. What is the difference between the area of a triangle and the area of other polygons?

10. What is a net?

11. How can we use a net to find surface area?

Evidence Outcomes:

1. Develop and apply formulas and procedures for area of plane figures.

a. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes.

b. Apply these techniques in the context of solving real-world and mathematical problems.

2. Develop and apply formulas and procedures for volume of regular prisms.

a. Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths.

b. Show that volume is the same as multiplying the edge lengths of a rectangular prism.

c. Apply the formulas V = l w h and V = B h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

3. Draw polygons in the coordinate plane to solve real-world and mathematical problems.

a. Draw polygons in the coordinate plane given coordinates for the vertices.




b. Use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.

4. Develop and apply formulas and procedures for the surface area.

a. Represent three-dimensional figures using nets made up of rectangles and triangles.

b. Use nets to find the surface area of figures.

c. Apply techniques for finding surface area in the context of solving real-world and mathematical problems.


area right triangle quadrilaterals polygons volume prism fractional edge length coordinate plane vertices coordinate surface area nets three-dimensional figures

Assessment: All assessments are found in the suggested activities links, correlating with their numbers, unless listed below. 1. Use the County Concerns Rubric attached. 2. Use the Paving the Patio rubric attached. 3. Select a worksheet for assessment. 4. A perimeter worksheet is provided with an answer key. 5. Use a worksheet from Math-drills.com as informal or formal assessment. Answer keys provided. 6. Use the Walkway Rubric attached below. 7. The 3-D Boxes activity can be used as informal or formal assessment. Project the activity on the board and have students record their responses for each problem presented, then collect and score.



8. Use AAAMath for informal or formal assessment. Project the activity (“Practice” or “Play,” one problem at a time) on the board and have the students record their responses for each problem presented, then collect and score. 9. The practice portion of the activity has questions that students can answer individually at a computer or that can be displayed for the whole group. There are also printable versions of the worksheets. 10. Choose any worksheet for informal or formal assessment. Answer keys are provided for each. 11. Use the quiz after students view the tutorial. Quiz options include, but are not limited to: doing a copy/paste of the quiz into a word document and making copies for individual students, displaying information with a projector and having students write down their answer choices, or having an individual student take the quiz online and record results. 12. Use the assessments within the context of the video-lessons, activities, and/or within the lesson plans. 13, 14, & 15. An assessment is included within each printable lesson plan. There are also practice pages for students. 1. County Concerns Rubric 2. Paving the Patio Rubric 3. Lateral and Total Surface Area Worksheets 4. Perimeter 6. Walkway Rubric




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1. Use the County Concerns Handout on the area of rectangles and triangles.

2. The Paving the Patio activity focuses on area and perimeter by using paving stones to calculate the quantity and price of pavers needed for landscaping a particular plot of land.

3. Use the Lateral Area and Surface Area Video Lesson to demonstrate how to find the lateral area and surface area of a rectangular prism.

4. Use the Area and Perimeter Video Lesson for presenting two problems of perimeter: one with integer values and one using algebraic values.

5. Use the Area and Perimeter of Rectangles and Triangles Worksheets.

6. At the Walkway link, students focus on finding the area of a parallelogram. There is a pre-activity showing the area of a parallelogram related to the area of a rectangle.

7. The 3-D Boxes link is a quick way to check student ability to apply the formula for volume as they find the volume of boxes using cubes.

8. The AAA Math site can be used for a variety of objectives involving Geometry including: surface area, volume, perimeter, and circumference. Students can learn the concept and play a game to practice the skill.

9. Adaptedmind.com has practice with instant feedback, video lessons, and printable worksheets on numerous topics including: area, perimeter, angles, and surface area.

10. Use the Tile My Bathroom Floor Activity.









Area of Triangle PowerPoint PowerPoint for Area and Perimeter Area of Triangle Foldable Surface Area PowerPoint Area and Perimeter PowerPoint Surface Area and Volume Slides Volume PowerPoint of Prisms Volume Surface Area Interactive Lesson











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Students calculate the number of tiles needed for a bathroom floor. There is a lesson plan and worksheet.

11. At the Kids News Room, individual students can practice the geometric concepts of perimeter, area, polygons, rays, lines, segments, symmetry, volume, and coordinate geometry.

12. PBS Teachers provides links to sites that have cross-curricular activities, videos, games, and lesson plans. It provides both online and offline activities.

13. This site has 61 lesson plans K-12 for teachers that include a teacher's guide, activities, cross-curricular connections, real-world applications, media components, lesson objectives, preps for teaching, assessments, and materials lists.

14. If you have a SmartBoard or Airliner, go to Smart Exchange and there are several lessons from which to choose.

15. Go to Share My Lesson and choose from a variety of 21st Century Lessons.

1. County Concerns Handout 2. Paving the Patio Handout 3. Lateral Area and Surface Area Video 4. Perimeter Video 5. Perimeter and Area Worksheets 6. Walkway Area of a Parallelogram 7. 3-D Boxes 8. AAA Math Link 9. Adaptedmind.com 10. Tile My Bathroom Floor Lesson Plan 10. Tile My Bathroom Worksheet 11. Kids News Room 12. PBS

3-D Interactive Shapes Multiple Worksheets for Rectangular Prisms Volume Rectangular Prism Worksheet #1 Volume Rectangular Prism #2 Volume Rectangular Prism #3 Surface Area Rectangular Prism #1 Surface Area of Rectangular Prism Worksheet #2 Surface Area Rectangular Prism Worksheet #3


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13. Lesson Plans 14. Smart Exchange 15. Share My Lesson


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