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Colorado - Mathematics: 6th Grade
21st Century Skills and Readiness Competencies | Adopted: 2010
S.1: : Number Sense, Properties, and Operations
S.1.GLE.1: : Quantities can be expressed and compared using ratios and rates
S.1.GLE.1.IQ: : Inquiry Questions:
S.1.GLE.1.IQ.1: : How are ratios different from fractions?
![Screenshot of Beam to Moon (Ratios and Proportions)](/Assets/img/blank.gif)
Beam to Moon (Ratios and Proportions)
Apply ratios and proportions to find the weight of a person on the moon (or on another planet). Weigh an object on Earth and on the moon and weigh the person on Earth. Then set up and solve the proportion of the Earth weights to the moon weights. 5 Minute Preview
![Screenshot of Part-to-part and Part-to-whole Ratios](/Assets/img/blank.gif)
Part-to-part and Part-to-whole Ratios
Compare a ratio represented by an area with its percent, fraction, and decimal forms. 5 Minute Preview
![Screenshot of Percents, Fractions, and Decimals](/Assets/img/blank.gif)
Percents, Fractions, and Decimals
Compare a quantity represented by an area with its percent, fraction, and decimal forms. 5 Minute Preview
![Screenshot of Proportions and Common Multipliers](/Assets/img/blank.gif)
Proportions and Common Multipliers
Complete a proportion using a graphical model. Use counters to fill cells in the numerators and denominators given. Use the visual pattern to determine how many counters to put in the missing numerator or denominator. 5 Minute Preview
S.1.GLE.1.RA: : Relevance and Application:
S.1.GLE.1.RA.1: : Knowledge of ratios and rates allows sound decision-making in daily life such as determining best values when shopping, creating mixtures, adjusting recipes, calculating car mileage, using speed to determine travel time, or making saving and investing decisions.
![Screenshot of Beam to Moon (Ratios and Proportions)](/Assets/img/blank.gif)
Beam to Moon (Ratios and Proportions)
Apply ratios and proportions to find the weight of a person on the moon (or on another planet). Weigh an object on Earth and on the moon and weigh the person on Earth. Then set up and solve the proportion of the Earth weights to the moon weights. 5 Minute Preview
![Screenshot of Part-to-part and Part-to-whole Ratios](/Assets/img/blank.gif)
Part-to-part and Part-to-whole Ratios
Compare a ratio represented by an area with its percent, fraction, and decimal forms. 5 Minute Preview
![Screenshot of Proportions and Common Multipliers](/Assets/img/blank.gif)
Proportions and Common Multipliers
Complete a proportion using a graphical model. Use counters to fill cells in the numerators and denominators given. Use the visual pattern to determine how many counters to put in the missing numerator or denominator. 5 Minute Preview
![Screenshot of Road Trip (Problem Solving)](/Assets/img/blank.gif)
Road Trip (Problem Solving)
Plan a cross-country road trip through various U.S. state capitals. First choose a vehicle to drive, and then fill up the tank with gas and go! Find the range and gas mileage of each vehicle, and discover the shortest path between two cities. 5 Minute Preview
S.1.GLE.1.RA.3: : Rates and ratios are used in mechanical devices such as bicycle gears, car transmissions, and clocks.
![Screenshot of Beam to Moon (Ratios and Proportions)](/Assets/img/blank.gif)
Beam to Moon (Ratios and Proportions)
Apply ratios and proportions to find the weight of a person on the moon (or on another planet). Weigh an object on Earth and on the moon and weigh the person on Earth. Then set up and solve the proportion of the Earth weights to the moon weights. 5 Minute Preview
![Screenshot of Estimating Population Size](/Assets/img/blank.gif)
Estimating Population Size
Adjust the number of fish in a lake to be tagged and the number of fish to be recaptured. Use the number of tagged fish in the catch to estimate the number of fish in the lake. 5 Minute Preview
![Screenshot of Part-to-part and Part-to-whole Ratios](/Assets/img/blank.gif)
Part-to-part and Part-to-whole Ratios
Compare a ratio represented by an area with its percent, fraction, and decimal forms. 5 Minute Preview
![Screenshot of Proportions and Common Multipliers](/Assets/img/blank.gif)
Proportions and Common Multipliers
Complete a proportion using a graphical model. Use counters to fill cells in the numerators and denominators given. Use the visual pattern to determine how many counters to put in the missing numerator or denominator. 5 Minute Preview
![Screenshot of Road Trip (Problem Solving)](/Assets/img/blank.gif)
Road Trip (Problem Solving)
Plan a cross-country road trip through various U.S. state capitals. First choose a vehicle to drive, and then fill up the tank with gas and go! Find the range and gas mileage of each vehicle, and discover the shortest path between two cities. 5 Minute Preview
S.1.GLE.1.N: : Nature of Mathematics:
S.1.GLE.1.N.2: : Mathematicians make sense of problems and persevere in solving them.
![Screenshot of Estimating Population Size](/Assets/img/blank.gif)
Estimating Population Size
Adjust the number of fish in a lake to be tagged and the number of fish to be recaptured. Use the number of tagged fish in the catch to estimate the number of fish in the lake. 5 Minute Preview
S.1.GLE.1.N.3: : Mathematicians reason abstractly and quantitatively.
![Screenshot of Biconditional Statements](/Assets/img/blank.gif)
Biconditional Statements
Make a biconditional statement from a given definition using word tiles. Use both symbolic form and standard English form. 5 Minute Preview
![Screenshot of Conditional Statements](/Assets/img/blank.gif)
Conditional Statements
Make a conditional statement from a given fact using word tiles. Use both symbolic form and standard English form. 5 Minute Preview
S.1.GLE.2: : Formulate, represent, and use algorithms with positive rational numbers flexibly, accurately, and efficiently
S.1.GLE.2.IQ: : Inquiry Questions:
S.1.GLE.2.IQ.1: : Why might estimation be better than an exact answer?
![Screenshot of Estimating Sums and Differences](/Assets/img/blank.gif)
Estimating Sums and Differences
Estimate the sum or difference of two fractions using area models. Compare estimates to exact sums and differences. 5 Minute Preview
![Screenshot of Multiplying Decimals (Area Model)](/Assets/img/blank.gif)
Multiplying Decimals (Area Model)
Model the product of two decimals by finding the area of a rectangle. Estimate the area of the rectangle first. Then break the rectangle into several pieces and find the area of each piece (partial product). Add these areas together to find the whole area (product). 5 Minute Preview
S.1.GLE.2.IQ.2: : How do operations with fractions and decimals compare to operations with whole numbers?
![Screenshot of Adding Fractions (Fraction Tiles)](/Assets/img/blank.gif)
Adding Fractions (Fraction Tiles)
Add fractions with the help of the Fractionator, a fraction-tile-making machine in the Gizmo. Model sums by placing the tiles on side-by-side number lines. Explore the usefulness of common denominators in adding. Express sums as improper fractions or mixed numbers. 5 Minute Preview
![Screenshot of Adding Whole Numbers and Decimals (Base-10 Blocks)](/Assets/img/blank.gif)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Use base-10 blocks to model two numbers. Then combine the blocks to model the sum. Blocks of equal value can be exchanged from one area of the mat to the other to help understand carrying when adding. Four sets of blocks are available to model different place values. 5 Minute Preview
![Screenshot of Fractions Greater than One (Fraction Tiles)](/Assets/img/blank.gif)
Fractions Greater than One (Fraction Tiles)
Explore fractions greater than one with the Fractionator, a fraction-tile-making machine in the Gizmo. Create sums of fraction tiles on two number lines. Sums greater than one are shown as improper fractions on the top number line, and as mixed numbers on the bottom number line. 5 Minute Preview
![Screenshot of Multiplying Decimals (Area Model)](/Assets/img/blank.gif)
Multiplying Decimals (Area Model)
Model the product of two decimals by finding the area of a rectangle. Estimate the area of the rectangle first. Then break the rectangle into several pieces and find the area of each piece (partial product). Add these areas together to find the whole area (product). 5 Minute Preview
![Screenshot of Subtracting Whole Numbers and Decimals (Base-10 Blocks)](/Assets/img/blank.gif)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Use base-10 blocks to model a starting number. Then subtract blocks from this number by dragging them into a subtraction bin. Blocks of equal value can be exchanged from one section of the mat to the other to help understand regrouping and borrowing. Four sets of blocks are available to model different place values. 5 Minute Preview
![Screenshot of Sums and Differences with Decimals](/Assets/img/blank.gif)
Sums and Differences with Decimals
Find the sum or difference of two decimal numbers using area models. Find the decimals and their sum or difference on a number line. 5 Minute Preview
S.1.GLE.2.RA: : Relevance and Application:
S.1.GLE.2.RA.1: : Rational numbers are an essential component of mathematics. Understanding fractions, decimals, and percentages is the basis for probability, proportions, measurement, money, algebra, and geometry.
![Screenshot of Modeling Decimals (Area and Grid Models)](/Assets/img/blank.gif)
Modeling Decimals (Area and Grid Models)
Model and compare decimals using area models. Set the number of sections in each model to 1, 10, or 100, and then click in the models to shade sections. Compare decimals visually and on a number line. 5 Minute Preview
![Screenshot of Modeling Whole Numbers and Decimals (Base-10 Blocks)](/Assets/img/blank.gif)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Model numbers with base-10 blocks. Drag flats, rods, and individual cubes onto a mat to model a number. Blocks can be exchanged from one area of the mat to the other. Four sets of blocks are available to model a variety of whole numbers and decimals. 5 Minute Preview
![Screenshot of Rational Numbers, Opposites, and Absolute Values](/Assets/img/blank.gif)
Rational Numbers, Opposites, and Absolute Values
Use a number line to compare rational numbers. Change values by dragging points on the number line. Compare the opposites and absolute values of the numbers. 5 Minute Preview
S.1.GLE.2.N: : Nature of Mathematics:
S.1.GLE.2.N.1: : Mathematicians envision and test strategies for solving problems.
![Screenshot of Estimating Population Size](/Assets/img/blank.gif)
Estimating Population Size
Adjust the number of fish in a lake to be tagged and the number of fish to be recaptured. Use the number of tagged fish in the catch to estimate the number of fish in the lake. 5 Minute Preview
S.1.GLE.2.N.2: : Mathematicians model with mathematics.
![Screenshot of Estimating Population Size](/Assets/img/blank.gif)
Estimating Population Size
Adjust the number of fish in a lake to be tagged and the number of fish to be recaptured. Use the number of tagged fish in the catch to estimate the number of fish in the lake. 5 Minute Preview
S.1.GLE.3: : In the real number system, rational numbers have a unique location on the number line and in space
S.1.GLE.3.IQ: : Inquiry Questions:
S.1.GLE.3.IQ.1: : Why are there negative numbers?
![Screenshot of Adding and Subtracting Integers](/Assets/img/blank.gif)
Adding and Subtracting Integers
Add and subtract integers on a number line using dynamic arrows. 5 Minute Preview
![Screenshot of Adding on the Number Line](/Assets/img/blank.gif)
Adding on the Number Line
Add real numbers using dynamic arrows on a number line. Find the sum of the numbers at the end of the final arrow. Compare the numerical calculation. 5 Minute Preview
![Screenshot of Addition of Polynomials](/Assets/img/blank.gif)
Addition of Polynomials
Add polynomials using an area model. Use step-by-step feedback to diagnose any mistakes. 5 Minute Preview
![Screenshot of Integers, Opposites, and Absolute Values](/Assets/img/blank.gif)
Integers, Opposites, and Absolute Values
Compare and order integers using draggable points on a number line. Also explore opposites and absolute values on the number line. 5 Minute Preview
S.1.GLE.3.IQ.2: : How do we compare and contrast numbers?
![Screenshot of Comparing and Ordering Decimals](/Assets/img/blank.gif)
Comparing and Ordering Decimals
Use grids to model decimal numbers and compare them graphically. Then compare the numbers on a number line. 5 Minute Preview
![Screenshot of Fraction Garden (Comparing Fractions)](/Assets/img/blank.gif)
Fraction Garden (Comparing Fractions)
Plant flowers in two gardens to help develop fraction sense. The two gardens act as number lines, from 0 to 1. Use the flowers in the gardens to compare fractions and to explore equivalent fractions. Chalk marks can be drawn to divide the garden into equal sections. 5 Minute Preview
![Screenshot of Integers, Opposites, and Absolute Values](/Assets/img/blank.gif)
Integers, Opposites, and Absolute Values
Compare and order integers using draggable points on a number line. Also explore opposites and absolute values on the number line. 5 Minute Preview
![Screenshot of Rational Numbers, Opposites, and Absolute Values](/Assets/img/blank.gif)
Rational Numbers, Opposites, and Absolute Values
Use a number line to compare rational numbers. Change values by dragging points on the number line. Compare the opposites and absolute values of the numbers. 5 Minute Preview
S.1.GLE.3.RA: : Relevance and Application:
S.1.GLE.3.RA.2: : Negative numbers can be used to represent quantities less than zero or quantities with an associated direction such as debt, elevations below sea level, low temperatures, moving backward in time, or an object slowing down.
![Screenshot of Integers, Opposites, and Absolute Values](/Assets/img/blank.gif)
Integers, Opposites, and Absolute Values
Compare and order integers using draggable points on a number line. Also explore opposites and absolute values on the number line. 5 Minute Preview
S.1.GLE.3.N: : Nature of Mathematics:
S.1.GLE.3.N.1: : Mathematicians use their understanding of relationships among numbers and the rules of number systems to create models of a wide variety of situations.
![Screenshot of Solving Algebraic Equations I](/Assets/img/blank.gif)
Solving Algebraic Equations I
Are there times when you wish you could escape from everyone and just be alone? Meet our variable friend, a real loner who doesn't like coefficients and neighboring terms. Learn how to use inverses to isolate a variable – a foundational skill for solving algebraic equations. 5 Minute Preview
![Screenshot of Solving Algebraic Equations II](/Assets/img/blank.gif)
Solving Algebraic Equations II
Is solving equations tricky? If you know how to isolate a variable, you're halfway there. The other half? Don't do anything to upset the balance of an equation. Join our plucky variable friend as he encounters algebraic equations and a (sometimes grumpy) equal sign. With a little practice, you'll find that solving equations isn't tricky at all. 5 Minute Preview
S.1.GLE.3.N.2: : Mathematicians construct viable arguments and critique the reasoning of others.
![Screenshot of Biconditional Statements](/Assets/img/blank.gif)
Biconditional Statements
Make a biconditional statement from a given definition using word tiles. Use both symbolic form and standard English form. 5 Minute Preview
S.2: : Patterns, Functions, and Algebraic Structures
S.2.GLE.1: : Algebraic expressions can be used to generalize properties of arithmetic
S.2.GLE.1.IQ: : Inquiry Questions:
S.2.GLE.1.IQ.1: : If we didn't have variables, what would we use?
![Screenshot of Solving Algebraic Equations I](/Assets/img/blank.gif)
Solving Algebraic Equations I
Are there times when you wish you could escape from everyone and just be alone? Meet our variable friend, a real loner who doesn't like coefficients and neighboring terms. Learn how to use inverses to isolate a variable – a foundational skill for solving algebraic equations. 5 Minute Preview
S.2.GLE.1.IQ.2: : What purposes do variable expressions serve?
![Screenshot of Simplifying Algebraic Expressions I](/Assets/img/blank.gif)
Simplifying Algebraic Expressions I
Meet Spidro, a quirky critter with an appetite for algebraic expressions! As Spidro's adopted owner, it's your responsibility to feed him so that he grows into… whatever it is that a Spidro grows into. But be careful - Spidro is a picky eater who prefers his food to be as simple as possible. Use the commutative property, distributive property, and the other properties of addition and multiplication to put expressions in simplest (and tastiest) form. 5 Minute Preview
![Screenshot of Simplifying Algebraic Expressions II](/Assets/img/blank.gif)
Simplifying Algebraic Expressions II
Will you adopt Spidro, Centeon, or Ping Bee? They're three very different critters with one thing in common: a hunger for simplified algebraic expressions! Learn how the distributive property can be used to combine variable terms, producing expressions that will help your pet grow up healthy and strong. You'll become a pro at identifying terms that can be combined – even terms with exponents and multiple variables. With enough practice, you and your pet will be ready for the competitive expression eating circuit. Good luck! 5 Minute Preview
![Screenshot of Solving Algebraic Equations I](/Assets/img/blank.gif)
Solving Algebraic Equations I
Are there times when you wish you could escape from everyone and just be alone? Meet our variable friend, a real loner who doesn't like coefficients and neighboring terms. Learn how to use inverses to isolate a variable – a foundational skill for solving algebraic equations. 5 Minute Preview
![Screenshot of Solving Equations on the Number Line](/Assets/img/blank.gif)
Solving Equations on the Number Line
Solve an equation involving decimals using dynamic arrows on a number line. 5 Minute Preview
![Screenshot of Using Algebraic Equations](/Assets/img/blank.gif)
Using Algebraic Equations
Translate equations into English sentences and translate English sentences into equations. Read the equation or sentence and select word tiles or symbol tiles to form the corresponding sentence or equation. 5 Minute Preview
S.2.GLE.1.IQ.4: : Why does the order of operations exist?
![Screenshot of Equivalent Algebraic Expressions I](/Assets/img/blank.gif)
Equivalent Algebraic Expressions I
Grumpy’s Restaurant is now hiring! As a new chef at this underwater bistro, you’ll learn the basics of manipulating algebraic expressions. Learn how to make equivalent expressions using the Commutative and Associative properties, how to handle pesky subtraction and division, and how to identify equivalent and non-equivalent expressions. 5 Minute Preview
![Screenshot of Equivalent Algebraic Expressions II](/Assets/img/blank.gif)
Equivalent Algebraic Expressions II
Continue your meteoric rise in the undersea culinary world in this follow-up to Equivalent Algebraic Expressions I. Make equivalent expressions by using the distributive property forwards and backwards, sort expressions by equivalence, and personally assist Chef Grumpy himself with a project that will bring him (and maybe you) fame and fortune. 5 Minute Preview
![Screenshot of Order of Operations](/Assets/img/blank.gif)
Order of Operations
Select and evaluate the operations in an expression following the correct order of operations. 5 Minute Preview
S.2.GLE.1.RA: : Relevance and Application:
S.2.GLE.1.RA.1: : The simplification of algebraic expressions allows one to communicate mathematics efficiently for use in a variety of contexts.
![Screenshot of Order of Operations](/Assets/img/blank.gif)
Order of Operations
Select and evaluate the operations in an expression following the correct order of operations. 5 Minute Preview
![Screenshot of Simplifying Algebraic Expressions I](/Assets/img/blank.gif)
Simplifying Algebraic Expressions I
Meet Spidro, a quirky critter with an appetite for algebraic expressions! As Spidro's adopted owner, it's your responsibility to feed him so that he grows into… whatever it is that a Spidro grows into. But be careful - Spidro is a picky eater who prefers his food to be as simple as possible. Use the commutative property, distributive property, and the other properties of addition and multiplication to put expressions in simplest (and tastiest) form. 5 Minute Preview
![Screenshot of Simplifying Algebraic Expressions II](/Assets/img/blank.gif)
Simplifying Algebraic Expressions II
Will you adopt Spidro, Centeon, or Ping Bee? They're three very different critters with one thing in common: a hunger for simplified algebraic expressions! Learn how the distributive property can be used to combine variable terms, producing expressions that will help your pet grow up healthy and strong. You'll become a pro at identifying terms that can be combined – even terms with exponents and multiple variables. With enough practice, you and your pet will be ready for the competitive expression eating circuit. Good luck! 5 Minute Preview
S.2.GLE.1.N: : Nature of Mathematics:
S.2.GLE.1.N.3: : Mathematicians reason abstractly and quantitatively.
![Screenshot of Biconditional Statements](/Assets/img/blank.gif)
Biconditional Statements
Make a biconditional statement from a given definition using word tiles. Use both symbolic form and standard English form. 5 Minute Preview
![Screenshot of Conditional Statements](/Assets/img/blank.gif)
Conditional Statements
Make a conditional statement from a given fact using word tiles. Use both symbolic form and standard English form. 5 Minute Preview
S.2.GLE.2: : Variables are used to represent unknown quantities within equations and inequalities
S.2.GLE.2.IQ: : Inquiry Questions:
S.2.GLE.2.IQ.1: : Do all equations have exactly one unique solution? Why?
![Screenshot of Absolute Value Equations and Inequalities](/Assets/img/blank.gif)
Absolute Value Equations and Inequalities
Solve an inequality involving absolute values using a graph of the absolute-value function. Vary the terms of the absolute-value function and vary the value that you are comparing it to. Then explore how the graph and solution set change in response. 5 Minute Preview
![Screenshot of Solving Equations on the Number Line](/Assets/img/blank.gif)
Solving Equations on the Number Line
Solve an equation involving decimals using dynamic arrows on a number line. 5 Minute Preview
![Screenshot of Using Algebraic Equations](/Assets/img/blank.gif)
Using Algebraic Equations
Translate equations into English sentences and translate English sentences into equations. Read the equation or sentence and select word tiles or symbol tiles to form the corresponding sentence or equation. 5 Minute Preview
S.2.GLE.2.N: : Nature of Mathematics:
S.2.GLE.2.N.1: : Mathematicians use graphs and equations to represent relationships among variables. They use multiple representations to gain insights into the relationships between variables.
![Screenshot of Solving Equations on the Number Line](/Assets/img/blank.gif)
Solving Equations on the Number Line
Solve an equation involving decimals using dynamic arrows on a number line. 5 Minute Preview
![Screenshot of Using Algebraic Equations](/Assets/img/blank.gif)
Using Algebraic Equations
Translate equations into English sentences and translate English sentences into equations. Read the equation or sentence and select word tiles or symbol tiles to form the corresponding sentence or equation. 5 Minute Preview
S.2.GLE.2.N.3: : Mathematicians model with mathematics.
![Screenshot of Estimating Population Size](/Assets/img/blank.gif)
Estimating Population Size
Adjust the number of fish in a lake to be tagged and the number of fish to be recaptured. Use the number of tagged fish in the catch to estimate the number of fish in the lake. 5 Minute Preview
S.3: : Data Analysis, Statistics, and Probability
S.3.GLE.1: : Visual displays and summary statistics of one-variable data condense the information in data sets into usable knowledge
S.3.GLE.1.IQ: : Inquiry Questions:
S.3.GLE.1.IQ.2: : When is one data display better than another?
![Screenshot of Box-and-Whisker Plots](/Assets/img/blank.gif)
Box-and-Whisker Plots
Construct a box-and-whisker plot to match a line plots, and construct a line plot to match a box-and-whisker plots. Manipulate the line plot and examine how the box-and-whisker plot changes. Then manipulate the box-and-whisker plot and examine how the line plot changes. 5 Minute Preview
![Screenshot of Graphing Skills](/Assets/img/blank.gif)
Graphing Skills
Create a graph (bar graph, line graph, pie chart, or scatter plot) based on a given data set. Title the graph, label the axes, and choose a scale. Adjust the graph to fit the data, and then check your accuracy. The Gizmo can also be used to create a data table based on a given graph. 5 Minute Preview
![Screenshot of Mascot Election (Pictographs and Bar Graphs)](/Assets/img/blank.gif)
Mascot Election (Pictographs and Bar Graphs)
A brand new school is opening and it is time to elect the school mascot! Students can choose the Eagle, Lion, Bear, or Wolf. Voting results can be displayed in a table, tally chart, pictograph, bar graph, circle graph, or dot plot. You can change student votes by selecting a group of students and clicking a mascot. 5 Minute Preview
![Screenshot of Reaction Time 2 (Graphs and Statistics)](/Assets/img/blank.gif)
Reaction Time 2 (Graphs and Statistics)
Test your reaction time by catching a falling ruler or clicking a target. Create a data set of experiment results, and calculate the range, mode, median, and mean of your data. Data can be displayed on a list, table, bar graph or dot plot. The Reaction Time 2 Student Exploration focuses on mean. 5 Minute Preview
![Screenshot of Stem-and-Leaf Plots](/Assets/img/blank.gif)
Stem-and-Leaf Plots
Build a data set and compare the line plot of the data set to the stem-and-leaf plot. 5 Minute Preview
S.3.GLE.1.IQ.4: : What makes a good statistical question?
![Screenshot of Describing Data Using Statistics](/Assets/img/blank.gif)
Describing Data Using Statistics
Investigate the mean, median, mode, and range of a data set through its graph. Manipulate the data and watch how the mean, median, mode, and range change (or, in some cases, how they don't change). 5 Minute Preview
![Screenshot of Movie Reviewer (Mean and Median)](/Assets/img/blank.gif)
Movie Reviewer (Mean and Median)
Movie reviewers rate movies on a scale of 0 to 10. Each movie comes with a set of reviews that can be changed by the user. The mean of a data set can be explored using a see-saw balance model. Students can also find the median, mode, and range of the data set. 5 Minute Preview
![Screenshot of Reaction Time 2 (Graphs and Statistics)](/Assets/img/blank.gif)
Reaction Time 2 (Graphs and Statistics)
Test your reaction time by catching a falling ruler or clicking a target. Create a data set of experiment results, and calculate the range, mode, median, and mean of your data. Data can be displayed on a list, table, bar graph or dot plot. The Reaction Time 2 Student Exploration focuses on mean. 5 Minute Preview
![Screenshot of Real-Time Histogram](/Assets/img/blank.gif)
Real-Time Histogram
Try to click your mouse once every 2 seconds. The time interval between each click is recorded, as well as the error and percent error. Data can be displayed in a table, histogram, or scatter plot. Observe and measure the characteristics of the resulting distribution when large amounts of data are collected. 5 Minute Preview
S.3.GLE.1.RA: : Relevance and Application:
S.3.GLE.1.RA.1: : Comprehension of how to analyze and interpret data allows better understanding of large and complex systems such as analyzing employment data to better understand our economy, or analyzing achievement data to better understand our education system.
![Screenshot of Box-and-Whisker Plots](/Assets/img/blank.gif)
Box-and-Whisker Plots
Construct a box-and-whisker plot to match a line plots, and construct a line plot to match a box-and-whisker plots. Manipulate the line plot and examine how the box-and-whisker plot changes. Then manipulate the box-and-whisker plot and examine how the line plot changes. 5 Minute Preview
![Screenshot of Polling: City](/Assets/img/blank.gif)
Polling: City
Poll residents in a large city to determine their response to a yes-or-no question. Estimate the actual percentage of yes votes in the whole city. Examine the results of many polls to help assess how reliable the results from a single poll are. See how the normal curve approximates a binomial distribution for large enough polls. 5 Minute Preview
![Screenshot of Real-Time Histogram](/Assets/img/blank.gif)
Real-Time Histogram
Try to click your mouse once every 2 seconds. The time interval between each click is recorded, as well as the error and percent error. Data can be displayed in a table, histogram, or scatter plot. Observe and measure the characteristics of the resulting distribution when large amounts of data are collected. 5 Minute Preview
S.3.GLE.1.RA.2: : Different data analysis tools enable the efficient communication of large amounts of information such as listing all the student scores on a state test versus using a box plot to show the distribution of the scores.
![Screenshot of Polling: City](/Assets/img/blank.gif)
Polling: City
Poll residents in a large city to determine their response to a yes-or-no question. Estimate the actual percentage of yes votes in the whole city. Examine the results of many polls to help assess how reliable the results from a single poll are. See how the normal curve approximates a binomial distribution for large enough polls. 5 Minute Preview
S.3.GLE.1.N: : Nature of Mathematics:
S.3.GLE.1.N.1: : Mathematicians leverage strategic displays to reveal data.
![Screenshot of Polling: City](/Assets/img/blank.gif)
Polling: City
Poll residents in a large city to determine their response to a yes-or-no question. Estimate the actual percentage of yes votes in the whole city. Examine the results of many polls to help assess how reliable the results from a single poll are. See how the normal curve approximates a binomial distribution for large enough polls. 5 Minute Preview
![Screenshot of Real-Time Histogram](/Assets/img/blank.gif)
Real-Time Histogram
Try to click your mouse once every 2 seconds. The time interval between each click is recorded, as well as the error and percent error. Data can be displayed in a table, histogram, or scatter plot. Observe and measure the characteristics of the resulting distribution when large amounts of data are collected. 5 Minute Preview
S.3.GLE.1.N.2: : Mathematicians model with mathematics.
![Screenshot of Estimating Population Size](/Assets/img/blank.gif)
Estimating Population Size
Adjust the number of fish in a lake to be tagged and the number of fish to be recaptured. Use the number of tagged fish in the catch to estimate the number of fish in the lake. 5 Minute Preview
![Screenshot of Using Algebraic Expressions](/Assets/img/blank.gif)
Using Algebraic Expressions
Translate algebraic expressions into English phrases, and translate English phrases into algebraic expressions. Read the expression or phrase and select word tiles or symbol tiles to form the corresponding phrase or expression. 5 Minute Preview
S.4: : Shape, Dimension, and Geometric Relationships
S.4.GLE.1: : Objects in space and their parts and attributes can be measured and analyzed
S.4.GLE.1.IQ: : Inquiry Questions:
S.4.GLE.1.IQ.3: : What does area tell you about a figure?
![Screenshot of Area of Parallelograms](/Assets/img/blank.gif)
Area of Parallelograms
Examine and manipulate a parallelogram and find its area. Explore the relationship between the area of a parallelogram and the area of a rectangle using an animation. 5 Minute Preview
![Screenshot of Area of Triangles](/Assets/img/blank.gif)
Area of Triangles
Use a dynamic triangle to explore the area of a triangle. With the help of an animation, see that any triangle is always half of a parallelogram (with the same base and height). Likewise, a similar animation shows the connection between parallelograms and rectangles. 5 Minute Preview
![Screenshot of Chocomatic (Multiplication, Arrays, and Area)](/Assets/img/blank.gif)
Chocomatic (Multiplication, Arrays, and Area)
Use the Chocomatic to design candy bars made out of chocolate squares. Use multiplication to find the number of squares in each chocolate bar. Build collections of chocolate bars that all have the same number of squares. Solve multiplication problems by joining two smaller chocolate bars into a large bar. 5 Minute Preview
![Screenshot of Fido's Flower Bed (Perimeter and Area)](/Assets/img/blank.gif)
Fido's Flower Bed (Perimeter and Area)
Construct models of gardens on a grid using squares of sod. Fence the gardens to find and compare perimeters. Work with pre-built gardens made of 36 squares each to compare perimeters of shapes with equal areas. 5 Minute Preview
![Screenshot of Perimeter and Area of Rectangles](/Assets/img/blank.gif)
Perimeter and Area of Rectangles
Discover how to find the perimeter and area of a rectangle, and of a square (which is really just a special case of a rectangle). 5 Minute Preview
S.4.GLE.1.IQ.4: : What properties affect the area of figures?
![Screenshot of Chocomatic (Multiplication, Arrays, and Area)](/Assets/img/blank.gif)
Chocomatic (Multiplication, Arrays, and Area)
Use the Chocomatic to design candy bars made out of chocolate squares. Use multiplication to find the number of squares in each chocolate bar. Build collections of chocolate bars that all have the same number of squares. Solve multiplication problems by joining two smaller chocolate bars into a large bar. 5 Minute Preview
![Screenshot of Perimeter and Area of Rectangles](/Assets/img/blank.gif)
Perimeter and Area of Rectangles
Discover how to find the perimeter and area of a rectangle, and of a square (which is really just a special case of a rectangle). 5 Minute Preview
S.4.GLE.1.RA: : Relevance and Application:
S.4.GLE.1.RA.1: : Knowledge of how to find the areas of different shapes helps do projects in the home and community. For example how to use the correct amount of fertilizer in a garden, buy the correct amount of paint, or buy the right amount of material for a construction project.
![Screenshot of Area of Parallelograms](/Assets/img/blank.gif)
Area of Parallelograms
Examine and manipulate a parallelogram and find its area. Explore the relationship between the area of a parallelogram and the area of a rectangle using an animation. 5 Minute Preview
![Screenshot of Perimeter and Area of Rectangles](/Assets/img/blank.gif)
Perimeter and Area of Rectangles
Discover how to find the perimeter and area of a rectangle, and of a square (which is really just a special case of a rectangle). 5 Minute Preview
S.4.GLE.1.RA.2: : The application of area measurement of different shapes aids with everyday tasks such as buying carpeting, determining watershed by a center pivot irrigation system, finding the number of gallons of paint needed to paint a room, decomposing a floor plan, or designing landscapes.
![Screenshot of Area of Parallelograms](/Assets/img/blank.gif)
Area of Parallelograms
Examine and manipulate a parallelogram and find its area. Explore the relationship between the area of a parallelogram and the area of a rectangle using an animation. 5 Minute Preview
![Screenshot of Perimeter and Area of Rectangles](/Assets/img/blank.gif)
Perimeter and Area of Rectangles
Discover how to find the perimeter and area of a rectangle, and of a square (which is really just a special case of a rectangle). 5 Minute Preview
S.4.GLE.1.N: : Nature of Mathematics:
S.4.GLE.1.N.3: : Mathematicians make sense of problems and persevere in solving them.
![Screenshot of Estimating Population Size](/Assets/img/blank.gif)
Estimating Population Size
Adjust the number of fish in a lake to be tagged and the number of fish to be recaptured. Use the number of tagged fish in the catch to estimate the number of fish in the lake. 5 Minute Preview
S.4.GLE.1.N.4: : Mathematicians reason abstractly and quantitatively.
![Screenshot of Biconditional Statements](/Assets/img/blank.gif)
Biconditional Statements
Make a biconditional statement from a given definition using word tiles. Use both symbolic form and standard English form. 5 Minute Preview
![Screenshot of Conditional Statements](/Assets/img/blank.gif)
Conditional Statements
Make a conditional statement from a given fact using word tiles. Use both symbolic form and standard English form. 5 Minute Preview
![Screenshot of Estimating Population Size](/Assets/img/blank.gif)
Estimating Population Size
Adjust the number of fish in a lake to be tagged and the number of fish to be recaptured. Use the number of tagged fish in the catch to estimate the number of fish in the lake. 5 Minute Preview
Correlation last revised: 9/22/2020
About STEM Cases
Students assume the role of a scientist trying to solve a real world problem. They use scientific practices to collect and analyze data, and form and test a hypothesis as they solve the problems.
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Each STEM Case uses realtime reporting to show live student results.
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STEM Cases take between 30-90 minutes for students to complete, depending on the case.
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Student progress is automatically saved so that STEM Cases can be completed over multiple sessions.
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Multiple grade-appropriate versions, or levels, exist for each STEM Case.
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Each STEM Case level has an associated Handbook. These are interactive guides that focus on the science concepts underlying the case.
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