This cluster includes the following access points.
Vetted resources educators can use to teach the concepts and skills in this topic.
| Name |
Description |
| Just Right Goldilocks’ Café: Temperature & Turbidity: | This is lesson 3 of 3 in the Goldilocks’ Café Just Right unit. This lesson focuses on systematic investigation on getting a cup of coffee to be the “just right” temperature and turbidity level. Students will use both the temperature probe and turbidity sensor and code using ScratchX during their investigation. |
| Just Right Goldilocks’ Café: Turbidity: | This is lesson 2 of 3 in the Just Right Goldilocks’ Café unit. This lesson focuses on systematic investigation on getting a cup of coffee to be the “just right” level of turbidity. Students will use turbidity sensors and code using ScratchX during their investigation. |
| Just Right Goldilocks’ Café: Temperature: | This is lesson 1 of 3 in the Just Right Goldilocks’ Café unit. This lesson focuses on systematic investigation on getting a cup of coffee to be the “just right” temperature. Students will use temperature probes and code using ScratchX during their investigation.
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| Gather Data For Distribution by Programming an App: | This lesson allow students to gather, calculate, and plot data using both computer code and mathematical equations. In this lesson students will create a pedometer app to demonstrate the understanding of algorithms, components (such as buttons, textboxes, sensors, etc.), and If/Then statements. This lesson uses algebraic equations and random data to access the needed components to store data in a spreadsheet. |
| Data Sets Represented in Computers: | This lesson shows how data can be represented by computers, in relation to everyday activities we may not be aware that we use computer. It gives an overview of graphing data by creating a histogram based on population data. Using the data collected, students will get a chance to hand write code to show what structure is needed for computers to collect, analyze and distribute such data. This lesson is lesson 1 of the Data Set and Deviation Statistics Unit and bridges statistical concepts of data collection, graphing and analysis with programming a computer using coding language while reinforcing foundational algebraic skills. |
| Radioactive Dating: Half-Life & Geologic Time: | In this Model Eliciting Activity (MEA), students must use their knowledge of radioactive dating and geologic time to select an effective elemental isotope to be used to date three rare specimens. This decision requires an understanding of the concept of a half-life and the benefits and limitations of radiometric dating. Students must complete mathematical calculations involving equations and operations with fractions and percentages. Students completing this MEA must develop two essays that respond in a professional manner to a client in the scientific industry.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom. |
| How Fast Can One Travel on a Bicycle?: | Students investigate how the pedal and rear wheel gears affect the speed of a bicycle. A GeoGebra sketch is included that allows a simulation of the turning of the pedal and the rear wheel. A key goal is to provide an experience for the students to apply and integrate the key concepts in seventh-grade mathematics in a familiar context. |
| 3-D Printers: Cost Effective for the Quality?: | Students will compare the cost of pre-made solar car kits to cars made from a 3-D printer. In the second part of the activity, students will research other available 3-D printers and determine what attributes are important to consider. There is also an optional solar panel car race for day 3. Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom. |
| HOORAH!! Pizza For Lunch: | The principal of Central Middle School is thinking of adding pizza to the lunch menu on Mondays and Fridays but needs help deciding the costs per slice and what students think is important about the pizza. After the students' initial decision about the pizza the principal remembers that there is a delivery charge.The students must revisit their decision and do additional calculations to see if their original process still works. Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom. |
| Steps to Solving Equations: | This lesson unit is intended to help you assess how well students are able to form and solve linear equations involving factorizing and using the distributive law. In particular, this unit aims to help you identify and assist students who have difficulties in using variables to represent quantities in a real-world or mathematical problem and solving word problems leading to equations of the form px + q = r and p(x + q) = r. |
| Percent of Change: | Students will investigate percent of change in real-world situations and will differentiate between an increase or a decrease. The students will use a formula to find the percent of change. |
| Car Shopping: | This MEA requires students to formulate a comparison-based solution to a problem involving finding the best decision on purchasing official vehicles for school district considering different aspects. Students are provided the context of the problem, a request letter from a client asking them to provide a recommendation, and data relevant to the situation. Students utilize the data to create a defensible model solution to present to the client. Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom. |
| In Whose Best Interest is Interest?: | The students will explore real world examples of interest rates. Students will explore loan rates, CD rates and compare benefits of different rates versus different terms of loans. Students will use the formula for simple interest. |
| It's All About Properties of Equality: | Students will apply properties of equality to solve multi-step equations with one variable. Students will complete a gallery walk as formative assessment, to determine students' understanding of properties of operations and equality when applied to equations. Equations increase in difficulty as the lesson progresses. Students complete an error analysis toward the end of the lesson. This lesson includes a powerpoint presentation. |
| Pricing The Twelve Days of Christmas: | Students will discover how much the items in the classic song, "The Twelve Days of Christmas," would cost in the current year; and then they will update the list for modern times. |
| Say Cheese!: | This resource provides a Model-Eliciting Activity where students will analyze a real-world scenario to solve a client's problem and provide the best possible solution based on a logically justified process. The students will consider a request from Simple Photography Classes to evaluate several digital cameras and help them decide which one they should purchase. Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom. |
| Understanding Equations Using Perimeter: | This is an introductory lesson in writing and solving equations in the form p(x + q) = r using the perimeter of rectangles. |
| Along for the Ride!: | This resource provides a Model-Eliciting Activity where students will analyze a real-world scenario to solve a client's problem and provide the best possible solution based on a logically justified process. The students will consider a request from Cut It Out Section of the Building and Grounds Maintenance Department of a school district to evaluate several lawn tractor models and help them decide which unit they should purchase. Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom. |
| Travel Troubles: | This activity engages the students into time scheduling, budgeting, and decision making to maximize time efficiency. Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom. |
| Batteries Included: | This resource provides a Model-Eliciting Activity where students will analyze a real-world scenario to solve a client's problem and provide the best possible solution based on a logically justified process. The students will consider a request from E-Z Go Taxi Cab Service to evaluate several batteries and help them decide which battery they should purchase. Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom. |
| Where in the world?: | This resource provides a Model-Eliciting Activity where students will analyze a real-world scenario to solve a client's problem and provide the best possible solution based on a logically justified process. The students will consider a request from Always On Time Delivery Service to evaluate several GPS units and help them decide which unit they should purchase. Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom. |
| Math in Mishaps: | Students will explore how percentages, proportions, and solving for unknowns are used in important jobs. This interactive activity will open their minds and address the question, "When is this ever used in real life?" |
| Which Food Should I Feed My Cat?: | The students will convert fractions into decimals and determine with multiplication the amount of food per serving for their assigned cat. Using this amount, they will calculate (division of decimals) the number of servings and the price per serving of cat food. Student will work with three types of food and enter the data into the chart. Finally, the students will analyze the data to determine the most cost-effective food. |
| Pennies and Post-its: | Students will look at balancing linear equations using pennies as constants and Post-its as the coefficient of the linear term. |
| Here's a tip!: | Students will solve problems involving sales tax and tips; students will apply the properties of operations with numbers in decimal, percent and fraction form. Students will convert between numbers in any form as appropriate. |
| Uncle Henry's Dilemma: | Uncle Henry's Dilemma is a problem solving lesson to determine the global location for the reading of Uncle Henry's will. The students will interpret data sets which include temperature, rainfall, air pollution, travel cost, flight times and health issues to rank five global locations for Uncle Henry's relatives to travel to for the reading of his will. This is an engaging, fun-filled MEA lesson with twists and turns throughout. Students will learn how this procedure of selecting locations can be applied to everyday decisions by the government, a business, a family, or individuals.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom. |
| Let's Go Shopping: Calculating Percents: | In this lesson, students will participate in a simulated shopping experience where they choose items they would like to purchase from local sale advertisements. The students will be able to apply the percent formula and the percent of change formula to real world financial situations. Students will learn how to calculate percent discounts, their percent of savings, and tax. The students will analyze, compare, draw conclusions and explain in writing why specific types of discounts are the most advantageous given specific situations. |
| Inequal-tile-ies: | In this lesson, students will work with Algebra Tiles to solve inequalities. This lesson builds upon student experience with solving equalities, as well as identifying inequalities and representing them on the number line. This lesson is an introduction to solving inequalities. (This lesson addresses part a of the standard) |
| Understanding Decimals: | These games and activities help students investigate the relationship between fractions and decimals, focusing on equivalence. |
| Name |
Description |
| Smiles: | In this online problem-solving challenge, students apply algebraic reasoning to determine the "costs" of individual types of faces from sums of frowns, smiles, and neutral faces. This page provides three pictorial problems involving solving systems of equations along with tips for thinking through the problem, the solution, and other similar problems. |
| Maximizing Area: Gold Rush: | Before the lesson, students attempt the Gold Rush task
individually. You then look at their responses and formulate questions
for students to think about as they review their work. At the start of the lesson, students reflect on their individual
responses and use the questions posed to think of ways to improve their
work. Next, students work collaboratively in small groups to produce, in
the form of a poster, a better solution to the Gold Rush task
than they did individually. In a whole-class discussion students
compare and evaluate the different methods they used. Working in small
groups, students analyze sample responses to the Gold Rush task, then, in a whole-class discussion, review the methods they have seen. Finally, students reflect on their work. |
| Anna in D.C.: | The purpose of this task is to give students an opportunity to solve a challenging multistep percentage problem that can be approached in several different ways. Students are asked to find the cost of a meal before tax and tip when given the total cost of the meal. The task can illustrate multiple standards depending on the prior knowledge of the students and the approach used to solve the problem. |
| Discounted Books: | This purpose of this task is to help students see two different ways to look at percentages both as a decrease and an increase of an original amount. In addition, students have to turn a verbal description of several operations into mathematical symbols. This requires converting simple percentages to decimals as well as identifying equivalent expressions without variables. |
| Fishing Adventures 2: | Students are asked to write and solve an inequality to determine the number of people that can safely rent a boat. |
| Guess My Number: | This problem asks the students to represent a sequence of operations using an expression and then to write and solve simple equations. The problem is posed as a game and allows the students to visualize mathematical operations. It would make sense to actually play a similar game in pairs first and then ask the students to record the operations to figure out each other's numbers. |
| Shrinking: | Students are asked to determine the change in height in inches when given a constant rate of change in centimeters. The answer is rounded to the nearest half inch. |
| Sports Equipment Set: | The student is asked to write and solve a two-step inequality to match the context. |
| Gotham City Taxis: | The purpose of this task is to give students an opportunity to solve a multi-step ratio problem that can be approached in many ways. This can be done by making a table, which helps illustrate the pattern of taxi rates for different distances traveled and with a little persistence leads to a solution which uses arithmetic. It is also possible to calculate a unit rate (dollars per mile) and use this to find the distance directly without making a table. |
| Log Ride: | Students are asked to solve an inequality in order to answer a real-world question. |
| Name |
Description |
| Solving Percentage Problems with Linear Equations: | Many real world problems involve involve percentages. This lecture shows how algebra is used in solving problems of percent change and profit-and-loss. |
| Age word problem: | This tuptorial shows students how to set up and solve an age word problem. The tutorial also shows how tp check your work using substitution.
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| Age word problem : | Students will learn how to set up and solve an age word problem. |
| Basic Linear Equation Word Problem: | This video shows how to construct and solve a basic linear equation to solve a word problem. |
| Multiplying and Dividing Inequalities : | The video will solve the inequality and graph the solution. |
| Solving One-Step Equations Using Multiplication and Division: | This tutorial will help you to solve one-step equations using multiplication and division. For practice, take the quiz after the lesson! |
| Solving Two-Step Equations: | This short video uses both an equation and a visual model to explain why the same steps must be used on both sides of the equation when solving for the value of a variable. |
| Linear Equations in One Variable: | This lesson introduces students to linear equations in one variable, shows how to solve them using addition, subtraction, multiplication, and division properties of equalities, and allows students to determine if a value is a solution, if there are infinitely many solutions, or no solution at all. The site contains an explanation of equations and linear equations, how to solve equations in general, and a strategy for solving linear equations. The lesson also explains contradiction (an equation with no solution) and identity (an equation with infinite solutions). There are five practice problems at the end for students to test their knowledge with links to answers and explanations of how those answers were found. Additional resources are also referenced. |
| Solving Equations With the Variable on Both Sides.: | This video models solving equations in one variable with variables on both sides of the equal sign. |
| Solving Equations with One Variable : | This Khan Academy presentation models solving two-step equations with one variable. |
Vetted resources students can use to learn the concepts and skills in this topic.
| Title |
Description |
| Solving Percentage Problems with Linear Equations: | Many real world problems involve involve percentages. This lecture shows how algebra is used in solving problems of percent change and profit-and-loss. |
| Age word problem: | This tuptorial shows students how to set up and solve an age word problem. The tutorial also shows how tp check your work using substitution.
|
| Age word problem : | Students will learn how to set up and solve an age word problem. |
| Basic Linear Equation Word Problem: | This video shows how to construct and solve a basic linear equation to solve a word problem. |
| Multiplying and Dividing Inequalities : | The video will solve the inequality and graph the solution. |
| Solving One-Step Equations Using Multiplication and Division: | This tutorial will help you to solve one-step equations using multiplication and division. For practice, take the quiz after the lesson! |
| Solving Two-Step Equations: | This short video uses both an equation and a visual model to explain why the same steps must be used on both sides of the equation when solving for the value of a variable. |
| Linear Equations in One Variable: | This lesson introduces students to linear equations in one variable, shows how to solve them using addition, subtraction, multiplication, and division properties of equalities, and allows students to determine if a value is a solution, if there are infinitely many solutions, or no solution at all. The site contains an explanation of equations and linear equations, how to solve equations in general, and a strategy for solving linear equations. The lesson also explains contradiction (an equation with no solution) and identity (an equation with infinite solutions). There are five practice problems at the end for students to test their knowledge with links to answers and explanations of how those answers were found. Additional resources are also referenced. |
| Solving Equations With the Variable on Both Sides.: | This video models solving equations in one variable with variables on both sides of the equal sign. |
| Solving Equations with One Variable : | This Khan Academy presentation models solving two-step equations with one variable. |
Vetted resources caregivers can use to help students learn the concepts and skills in this topic.
