Illustrative Math Alignment: Grade 7 Unit 8

This is a collection of Holiday-Themed math activities. 

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This collection of math examples on Ratios and Rates from Media4Math offers a comprehensive resource for students to develop essential mathematical skills. Comprising 32 carefully curated examples, the collection increases in complexity, allowing learners to progress from basic concepts to more challenging applications. Each example utilizes visual models, which serve to simplify the understanding of ratios and rates, making abstract ideas more tangible.

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This comprehensive collection of 40 math examples focuses on the essential topic of Solving Proportions, providing educators with a wealth of resources to enhance their lesson plans. The examples progressively increase in complexity, covering a range of skills related to proportional reasoning and problem-solving. Visual models are incorporated throughout the collection to simplify complex concepts and aid in student understanding.

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The Math Clip Art Collection on Proportions offers a versatile set of visual resources designed to help educators teach the concept of proportions. This collection includes a variety of images, from proportional relationships to scaling and equivalent ratios, providing step-by-step visuals to support understanding. Each image can help illustrate key concepts such as solving proportion problems, setting up equivalent ratios, and applying proportions to real-world contexts.

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The Fractions definitions collection from Media4Math is an invaluable resource for students and educators aiming to master or teach the fundamental concepts of fractions. This comprehensive set includes 20 essential terms, each presented as a downloadable PNG image card, making it easy to integrate into classroom presentations or study materials.

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Data Analysis

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Data Analysis

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Equations

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The video investigates the geometry of river meanders using the concept of the meander ratio, calculated as the ratio of a river’s sinuous length to its straight-line length. It uses a TI-Nspire calculator to simulate river paths and compute ratios. Key vocabulary includes meander ratio, sinuous length, and geometric modeling. Applications highlight the mathematical modeling of natural phenomena and the occurrence of pi in nature.

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Equations

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This segment explores the impact of colony collapse disorder on honey production using statistical data. It introduces box and whisker plots and the calculation of mean as statistical tools to analyze honey yields. Key vocabulary includes colony collapse disorder, box plot, and mean. Applications include modeling bee population declines and their broader ecological and agricultural implications.

What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? Why are data analysis and probability always taught together? Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video answers these questions and addresses fundamental concepts such as the law of large numbers and the notion of regression analysis. Both engaging investigations are based on true stories and real data, utilize different Nspire applications, and model the seamless connection among various problem representations. Concepts explored: statistics, data analysis, regression analysis.

In this Investigation we explore uncertainty and randomness. This video is Segment 1 of a 4 segment series related to Data Analysis and Probability. Segments 1 and 2 are grouped together.

In this Investigation we look at real-world data involving endangered wolf populations. This video is Segment 3 of a 4 segment series related to Data Analysis and Probability. Segments 3 and 4 are grouped together.

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Percents

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This video applies percents to measure slopes or grades, using ratios for rise over run. Examples include road inclines, ski slopes, and cycling paths. Applications showcase percents in engineering, sports, and transportation, emphasizing their practicality in measuring inclines accurately.

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Percents

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The video demonstrates calculating tips and commissions using percentages. Examples include restaurant tips, real estate commissions, and catering costs. Applications focus on service industry calculations and earnings management.

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Percents

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This video covers tax calculations for purchases, property, and VAT. Examples include grocery bills, iPad purchases, and real estate property taxes. Applications highlight the importance of understanding tax rates for budgeting and financial management.

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Percents

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The video explores converting fractions to percents for simplified calculations. Examples include determining cargo contents, rose sales, and motorcycle proportions. Fraction-percent equivalence simplifies arithmetic and provides quick insights into ratios and totals. Applications include logistics, commerce, and urban planning.

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Percents

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This video demonstrates how to handle multiple percentage changes applied sequentially, including discounts and price fluctuations. Examples include double-discounted items, stock price variations, and gasoline price changes. Applications emphasize consolidating multiple percents into single calculations for efficiency in financial and retail scenarios.

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Percents

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This video covers calculating percent decreases in scenarios such as price reductions, vehicle depreciation, and cube dimension changes. Examples demonstrate the relationship between linear decreases and their exponential effects on surface area and volume. Applications include consumer goods, real estate, and geometry.

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Percents

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The video explains how to calculate percent increases, focusing on changes in school enrollments, asset values, and cube dimensions. Examples highlight the non-linear effects of changes on surface area and volume. Applications include finance, education, and geometry, emphasizing understanding growth trends.

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Percents

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The video explains the distinction between percent growth and multiple growth. Examples include doubling heights, stock price increases, and oil price changes. Applications emphasize clear understanding of percent versus multiplier concepts in finance and everyday math.

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Percents

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The video explores percent-based probabilities in scenarios like dice rolls. Examples include calculating probabilities of specific outcomes and estimating occurrences over multiple trials. Applications include games of chance and statistical analysis.

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Percents

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The video explains how to calculate simple interest using a formula involving principal, rate, and time. Examples include savings account growth, stock investments, and rare coin valuation. Applications include financial planning and historical item appraisal.

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Ratios

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The video explains how proportions are used to create scale drawings, ensuring geometric figures remain proportional. Examples include finding dimensions in similar triangles, scaling architectural models, and solving geometric problems. The concept of proportional relationships is key to accurate scaling.

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Ratios

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This video focuses on solving proportions algebraically, converting them into equations to solve real-world problems. Examples include predator-prey ratios, scaling pizza dough recipes, and creating shades of paint. The video demonstrates methods for handling terms in denominators and simplifying ratios to whole numbers.

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Ratios

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Proportions are explained as equivalent ratios used to solve real-world problems. Examples include matching juice mixtures and adjusting recipes. The video uses ratio tables and number lines to scale ratios proportionally in practical applications.

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Ratios

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This video covers converting units using rates, with examples like speed conversion, currency exchange, and calculating seconds in a year. It emphasizes multiplication by conversion rates to transition between units effectively.

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Ratios

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Rates are linked to slopes in linear functions. The video explores calculating rates of change for graphs of speed, savings growth, and loan repayment. It highlights using the slope formula to interpret and solve practical problems.

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Ratios

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This video demonstrates calculating rates from data sets, focusing on patterns like distance-time relationships and wages. Examples include determining car speeds, hourly wages, and unit costs of gasoline. Data tables are used to visualize and compute rates.

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Ratios

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The video explores working with ratios involving decimals, such as finding unit costs for salmon or recycling rates. Scientific notation and multi-step conversions are used to calculate speeds of spacecraft like Voyager I.

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Ratios

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Ratios are connected to percentages in this video. Examples include finding percentages of colored socks or non-green items in collections. It develops a formula for converting part-to-whole ratios into percentages.

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Ratios

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The video covers practical applications of ratios for measuring slopes of roofs and ramps. Examples include comparing roof pitches, calculating base lengths of roofs, and determining ramp heights. Ratios provide clarity for gradual slopes.

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Ratios

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This video explains generating and comparing equivalent ratios. Examples include simplifying fractions, determining similarity in geometric shapes, and integrating multiple ratios into a comprehensive ratio. Applications extend to geometry and proportional reasoning.

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Ratios

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This video focuses on ratios written with fractions, showing how to convert fractional ratios into whole-number ratios by eliminating denominators. Applications include recipes and ensuring proportions are maintained in measurements. It emphasizes mathematical manipulation to align ratios with practical uses.

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Ratios

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This video introduces rates, a type of ratio comparing different units, such as distance over time (speed) or dollars per hour (wage). Examples demonstrate calculating rates and converting units. Applications include measuring efficiency and performing unit conversions.

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Ratios

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Ratios are compared to fractions, emphasizing differences between part-to-part and part-to-whole relationships. Examples include finding fractions of subsets within a collection and modeling classroom demographics. The video highlights deriving fractional equivalents from given ratios.