This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.
PR: Proportional Reasoning
1.1: Develop an understanding of ratio concepts and use reasoning about ratios to solve problems.
PR.1: Students will… Use appropriate notations [a/b, a to b, a:b] to represent a proportional relationship between quantities and use ratio language to describe the relationship between quantities.
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
PR.2: Students will… Use unit rates to represent and describe ratio relationships.
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
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
PR.3: Students will… Use ratio and rate reasoning to solve mathematical and real-world problems (including but not limited to percent, measurement conversion, and equivalent ratios) using a variety of models, including tables of equivalent ratios, tape diagrams, double number lines, and equations.
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
Apply markups and discounts using interactive "percent rulers." Improve number sense for percents with this dynamic, visual tool. Reinforce the original cost (or original price) as the baseline for percent calculations.
5 Minute Preview
Find a part from the percent and whole, a percent from the part and whole, or a whole from the part and percent using a graphic model.
5 Minute Preview
Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph.
5 Minute Preview
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
Function Machines 2 (Functions, Tables, and Graphs)
Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph.
5 Minute Preview
Use unit conversion tiles to convert from one unit to another. Tiles can be flipped to cancel units. Convert between metric units or between metric and U.S. customary units. Solve distance, time, speed, mass, volume, and density problems.
5 Minute Preview
2.1: Use prior knowledge of multiplication and division to divide fractions.
NO.4: Students will… Interpret and compute quotients of fractions using visual models and equations to represent problems.
2.2: Compute multi-digit numbers fluently and determine common factors and multiples.
NO.5: Students will… Fluently divide multi-digit whole numbers using a standard algorithm to solve real-world and mathematical problems.
No Alien Left Behind (Division with Remainders)
The alien school children from the planet Zigmo travel to distant planets on a field trip. The goal is to select a bus size so that all buses are full and no aliens are left behind. This is a nice illustration of division with remainders.
5 Minute Preview
NO.6: Students will… Add, subtract, multiply, and divide decimals using a standard algorithm.
Multiplying with Decimals
Multiply two decimals using a dynamic area model. On a grid, shade the region with width equal to one of the decimals and height equal to the other decimal and find the area of the region.
5 Minute Preview
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
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
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
NO.7: Students will… Use the distributive property to express the sum of two whole numbers with a common factor as a multiple of a sum of two whole numbers with no common factor.
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
NO.8: Students will… Find the greatest common factor (GCF) and least common multiple (LCM) of two or more whole numbers.
2.3: Apply knowledge of the number system to represent and use rational numbers in a variety of forms.
NO.9: Students will… Use signed numbers to describe quantities that have opposite directions or values and to represent quantities in real-world contexts.
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
NO.10: Students will… Locate integers and other rational numbers on a horizontal or vertical line diagram.
NO.11: Students will… Find the position of pairs of integers and other rational numbers on the coordinate plane.
NO.12: Students will… Explain the meaning of absolute value and determine the absolute value of rational numbers in real-world contexts.
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
NO.13: Students will… Compare and order rational numbers and absolute value of rational numbers with and without a number line in order to solve real-world and mathematical problems.
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
AF.15: Students will… Write, read, and evaluate expressions in which letters represent numbers in real-world contexts.
AF.16: Students will… Generate equivalent algebraic expressions using the properties of operations, including inverse, identity, commutative, associative, and distributive.
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
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
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
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
AF.17: Students will… Determine whether two expressions are equivalent and justify the reasoning.
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
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
3.2: Use equations and inequalities to represent and solve real-world or mathematical problems.
AF.18: Students will… Determine whether a value is a solution to an equation or inequality by using substitution to conclude whether a given value makes the equation or inequality true.
Modeling One-Step Equations
Solve a linear equation using a tile model. Use feedback to diagnose incorrect steps.
5 Minute Preview
Solve inequalities in one variable. Examine the inequality on a number line and determine which points are solutions to the inequality.
5 Minute Preview
AF.19: Students will… Write and solve an equation in the form of x + p = q or px = q for cases in which p, q, and x are all non-negative rational numbers to solve real-world and mathematical problems.
AF.20: Students will… Write and solve inequalities in the form of x > c, x < c, x >= c, or x <= c to represent a constraint or condition in a real-world or mathematical problem.
3.3: Identify and analyze relationships between independent and dependent variables.
AF.21: Students will… Identify, represent, and analyze two quantities that change in relationship to one another in real-world or mathematical situations.
DSP: Data Analysis, Statistics, and Probability
4.1: Use real-world and mathematical problems to analyze data and demonstrate an understanding of statistical variability and measures of center.
DSP.22: Students will… Write examples and non-examples of statistical questions, explaining that a statistical question anticipates variability in the data related to the question.
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
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
Change the values in a data set and examine how the dynamic histogram changes in response. Adjust the interval size of the histogram and see how the shape of the histogram is affected.
5 Minute Preview
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
Conduct a phone poll of citizens in a small neighborhood to determine their response to a yes-or-no question. Use the results to estimate the sentiment of the entire population. Investigate how the error of this estimate becomes smaller as more people are polled. Compare random versus non-random sampling.
5 Minute Preview
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
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
DSP.23: Students will… Calculate, interpret, and compare measures of center (mean, median, mode) and variability (range and interquartile range) in real-world data sets.
DSP.24: Students will… Represent numerical data graphically, using dot plots, line plots, histograms, stem and leaf plots, and box plots.
GM: Geometry and Measurement
5.1: Graph polygons in the coordinate plane to solve real-world and mathematical problems.
GM.25: Students will… Graph polygons in the coordinate plane given coordinates of the vertices to solve real-world and mathematical problems.
5.2: Solve real-world and mathematical problems to determine area, surface area, and volume.
GM.26: Students will… Calculate the area of triangles, special quadilaterals, and other polygons by composing and decomposing them into known shapes.
GM.27: Students will… Determine the surface area of three-dimensional figures by representing them with nets composed of rectangles and triangles to solve real-world and mathematical problems.
Surface and Lateral Areas of Prisms and Cylinders
Vary the dimensions of a prism or cylinder and investigate how the surface area changes. Use the dynamic net of the solid to compute the lateral area and the surface area of the solid.
5 Minute Preview
Vary the dimensions of a pyramid or cone and investigate how the surface area changes. Use the dynamic net of the solid to compute the lateral area and the surface area of the solid.
5 Minute Preview
GM.28: Students will… Apply previous understanding of volume of right rectangular prisms to those with fractional edge lengths to solve real-world and mathematical problems.
Correlation last revised: 3/30/2026
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.
