College and Career-Ready Standards | Adopted: 2025
This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.
NOS: Number and Operation Sense
7.NOS.A: Use structure and representations to reason with rational numbers.
7.NOS.A.1: Add and subtract rational numbers using multiple strategies and representations.
7.NOS.A.2: Multiply and divide rational numbers using multiple strategies and representations.
7.NOS.A.3: Solve multistep problems involving positive and negative rational numbers in any form (i.e., fractions, decimals, percents) using all four operations.
AT: Algebraic Thinking
7.AT.A: Represent and reason about proportional relationships to solve problems.
7.AT.A.2: Identify proportional relationships between quantities.
7.AT.A.3: Represent proportional relationships between quantities.
7.AT.A.4: Solve ratio and percent problems in context (e.g., simple interest, tax, markups and markdowns, tips, commissions, fees, percent increase or decrease, and percent error) by applying proportional reasoning.
Percents, Fractions, and Decimals
Compare a quantity represented by an area with its percent, fraction, and decimal forms.
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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.
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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.
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Model and compare fractions, decimals, and percents using area models. Each area model can have 10 or 100 sections and can be set to display a fraction, decimal, or percent. Click inside the area models to shade them. Compare the numbers visually or on a number line.
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7.AT.B: Look for and make use of structure to rewrite expressions in equivalent forms and reason about Their properties.
7.AT.B.5: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
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.
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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.
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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.
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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!
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7.AT.C: Model with and solve equations and inequalities.
7.AT.C.8: Use variables to represent quantities and write and solve equations to model and reason about relationships in context.
7.AT.C.9: Use variables to represent quantities and write and solve inequalities to model and reason about constraints and conditions in context.
GR: Geometric Reasoning and Measurement
7.GR.A: Use structure and representation to analyze geometric figures.
7.GR.A.1: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
Dilations
Dilate a figure and investigate its resized image. See how scaling a figure affects the coordinates of its vertices, both in (x, y) form and in matrix form.
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Vary the scale factor and rotation of an image and compare it to the preimage. Determine how the angle measures and side lengths of the two figures are related.
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7.GR.B: Reason with and about geometric formulas to solve problems and justify solutions in context.
7.GR.B.3: Apply the formulas for the area and circumference of a circle to solve problems in context. Use informal reasoning and visual models to explain the relationship between the circumference and area of a circle.
Circumference and Area of Circles
Resize a circle and compare its radius, circumference, and area.
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7.GR.B.4: Solve mathematical problems with and without context involving area, surface area, and volume of two- and three-dimensional objects.
DS: Reasoning with Data, Statistics, and Probability
7.DS.A: Make sense of statistical inquiry.
7.DS.A.1: Determine when generalizations about a population are appropriate based on how the sample was selected.
7.DS.A.2: Use data from random samples to make and evaluate estimates or predictions about a population.
7.DS.B: Describe, analyze, and compare data using visual and numerical representations to model situations and draw inferences.
7.DS.B.3: Compare two numerical data distributions using visual displays and numerical measures to draw inferences about differences between populations.
7.DS.C: Model and analyze probability to interpret chance events, compare models with observed data, and make predictions.
7.DS.C.4: Explain that a probability of 0 means the event is impossible, 1 means it is certain, and values closer to 0 or 1 indicate how unlikely or likely the event is. Use this understanding to estimate the probability of chance events based on knowledge about the context, and compare the likelihood of different events.
Geometric Probability
Randomly throw darts at a target and see what percent are "hits." Vary the size of the target and repeat the experiment. Study the relationship between the area of the target and the percent of darts that strike it
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Experiment with spinners and compare the experimental probability of particular outcomes to the theoretical probability. Select the number of spinners, the number of sections on a spinner, and a favorable outcome of a spin. Then tally the number of favorable outcomes.
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Experiment with spinners and compare the experimental probability of a particular outcome to the theoretical probability. Select the number of spinners, the number of sections on a spinner, and a favorable outcome of a spin. Then tally the number of favorable outcomes.
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Step right up! Spin the big wheel! Each spin can result in no prize, a small prize, or a big prize. The wheel can be spun by 1, 10, or 100 players. Results are recorded on a frequency table or a circle graph. You can also design your own wheel and a sign that describes the probabilities for your wheel.
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7.DS.C.5: Understand and apply long-run relative frequency to approximate probabilities and make predictions about chance events.
7.DS.C.6: Develop and use probability models to find probabilities of events and compare them to observed results.
Correlation last revised: 7/9/2026
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.
