Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 9

Putting it All Together

Lesson 12: Using a Trundle Wheel to Measure Distances

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Collection Holiday Themed Resource Collection: Instructional Resources  

This is a collection of Holiday-Themed math activities. 

 

Ratios and Rates and Numerical and Algebraic Expressions
Collection Fractions: Basic Terms and Definitions Here we gather key terms and definitions around the topic of Fractions. Fractions and Mixed Numbers and Identify and Name Fractions
Animated Math Clip Art Halloween Math Collection

Overview

This is a collection of Halloween-themed math clip art and other resources. There are more than 40 resources. To see the complete collection of Math Clip Art, click on this link.

 

3-Dimensional Figures, Applications of 3D Geometry, Numerical Expressions, Even and Odd Numbers, Ratios and Rates, Counting, Data Analysis and Divide by 1-Digit Numbers
Math in the News Math in the News Collection: Applications of Data Analysis

Overview

This is a collection of Math in the News stories that focus on the topic of Data Analysis.

 

 

 
Data Analysis, Data Gathering, Probability, Percents and Ratios and Rates
Quizlet Flash Cards Quizlet Flash Card Collection: Ratios from Shapes

Overview

This is a collection of Quizlet Flash Cards on the topic of Ratios from Shapes. There are a total of 10 Quizlet Flash Card sets.

 

 

Ratios and Rates
Fractions Collection Math Definitions Collection: Fractions

Overview

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.

Compare and Order Fractions, Fractions and Mixed Numbers and Identify and Name Fractions
Circles Collection Math Definitions Collection: Circles

Overview

The collection of definitions on the topic of circles provided by Media4Math is an invaluable resource for students and educators alike. This comprehensive set includes essential terms such as radius, diameter, circumference, chord, and tangent, each explained with clarity and precision. Understanding these fundamental concepts is crucial for students as they form the building blocks for more advanced studies in geometry and algebra.

Definition of a Circle
Math Videos Math Video Collection: Video Tutorials Series: Ratios

Overview

This collection aggregates all the math videos and resources in this series: Video Tutorials Series: Ratios. There are a total of 67 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

Ratios and Rates, Applications of Ratios, Proportions, and Percents and Proportions
Math Videos Math Video Collection: Video Tutorials Series: Percents

Overview

This collection aggregates all the math videos and resources in this series: Video Tutorials Series: Percents. There are a total of 48 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

Percents
Math Videos Math Video Collection: Algebra Applications Video Series: Data Analysis

Overview

This collection aggregates all the math videos and resources in this series: Algebra Applications Video Series: Data Analysis. There are a total of 26 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

Data Analysis and Data Gathering
Math Videos Math Video Collection: Geometry Applications Video Series: Circles

Overview

This collection aggregates all the math videos and resources in this series: Geometry Applications Video Series: Circles. There are a total of 13 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

Applications of Circles and Definition of a Circle
Math Worksheets Math Worksheet Collection: Unit Rates and Data Tables

Overview

This collection aggregates all the math worksheets around the topic of Unit Rates and Data Tables. There are a total of 50 worksheets. Each worksheet includes an answer key. This collection of resources is made up of downloadable PDF files that you can easily incorporate into your instruction.

 

To download the full set of these resources, click on this link.

 

Ratios and Rates
Math Examples Math Examples Collection: Ratios and Rates

Overview

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.

Ratios and Rates
Math Examples Math Examples Collection: Circular Area and Circumference

Overview

This collection aggregates all the math examples around the topic of Circular Area and Circumference. There are a total of 23 Math Examples. This collection of resources is made up of downloadable PNG images that you can easily incorporate into your lesson plans.
Area and Circumference
Math Videos Math Video Collection: Algebra Applications Video Series: Equations

Overview

This collection aggregates all the math videos and resources in this series: Algebra Applications Video Series: Equations. There are a total of 23 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: Algebra Applications: Data Analysis Closed Captioned Video: Algebra Applications: Data Analysis Closed Captioned Video: Algebra Applications: Data Analysis

Topic

Data Analysis

Data Analysis and Data Gathering
Closed Captioned Video: Algebra Applications: Variables and Equations, Segment 3: River Ratios Closed Captioned Video: Algebra Applications: Variables and Equations, 3 Closed Captioned Video: Algebra Applications: Variables and Equations, 3

Topic

Equations

Description

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.

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions and Applications of Ratios, Proportions, and Percents
Closed Captioned Video: Algebra Tiles: Simplifying Variable Expressions Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Simplifying Variable Expressions Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Simplifying Variable Expressions Using Algebra Tiles

Description

This is part of a collection of video tutorials the topic of Algebra Tiles.This series of videos describes what algebra tiles are and how they can be used to model numbers, operations, expressions, and equations. Use this series if you are incorporating the use of algebra tiles in your instruction.

—CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.

The following section reviews the basics of algebra tiles. Use this material as background material, and also as a supplement to the video series.

Algebra Tiles--Expressions and Equations
Closed Captioned Video: Integers: Variable Expressions with Integers Closed Captioned Video: Integers: Variable Expressions with Integers Closed Captioned Video: Integers: Variable Expressions with Integers

Video Tutorial: Integers: Variable Expressions with Integers. In this video, students simplify various variable expressions that use integers. A

This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.

The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward.

Numerical Expressions
Closed Captioned Video: Percents: Fraction-Percent Conversion Closed Captioned Video: Percents: Fraction-Percent Conversion Closed Captioned Video: Percents: Fraction-Percent Conversion

Topic

Percents

Description

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.

Percents
Closed Captioned Video: Rational Numbers: Variable Expressions with Rational Numbers Closed Captioned Video: Rational Numbers: Variable Expressions with Rational Numbers Closed Captioned Video: Rational Numbers: Variable Expressions with Rational Numbers

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Ratios and Proportions: Scale Drawings Closed Captioned Video: Ratios and Proportions: Scale Drawings Closed Captioned Video: Ratios and Proportions: Scale Drawings

Topic

Ratios

Description

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.

Ratios and Rates
Closed Captioned Video: Ratios and Proportions: Solving Proportions Closed Captioned Video: Ratios and Proportions: Solving Proportions Closed Captioned Video: Ratios and Proportions: Solving Proportions

Topic

Ratios

Description

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.

Ratios and Rates
Closed Captioned Video: Ratios and Proportions: What Are Proportions? Closed Captioned Video: Ratios and Proportions: What Are Proportions? Closed Captioned Video: Ratios and Proportions: What Are Proportions?

Topic

Ratios

Description

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.

Ratios and Rates
Closed Captioned Video: Ratios and Rates: Converting Measurement Units Closed Captioned Video: Ratios and Rates: Converting Measurement Units Closed Captioned Video: Ratios and Rates: Converting Measurement Units

Topic

Ratios

Description

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.

Ratios and Rates
Closed Captioned Video: Ratios and Rates: Rates and Slopes of Lines Closed Captioned Video: Ratios and Rates: Rates and Slopes of Lines Closed Captioned Video: Ratios and Rates: Rates and Slopes of Lines

Topic

Ratios

Description

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.

Ratios and Rates
Closed Captioned Video: Ratios and Rates: Rates from Data Closed Captioned Video: Ratios and Rates: Rates from Data Closed Captioned Video: Ratios and Rates: Rates from Data

Topic

Ratios

Description

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.

Ratios and Rates
Closed Captioned Video: Ratios and Rates: Ratios as Decimals Closed Captioned Video: Ratios and Rates: Ratios as Decimals Closed Captioned Video: Ratios and Rates: Ratios as Decimals

Topic

Ratios

Description

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.

Ratios and Rates
Closed Captioned Video: Ratios, Proportions, and Percents: Calculating Percents Closed Captioned Video: Ratios, Proportions, and Percents: Calculating Percents Closed Captioned Video: Ratios, Proportions, and Percents: Calculating Percents

Topic

Ratios

Description

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.

Ratios and Rates
Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps

Topic

Ratios

Description

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.

Ratios and Rates and Applications of Ratios, Proportions, and Percents
Closed Captioned Video: Ratios: Equivalent Ratios Closed Captioned Video: Ratios: Equivalent Ratios Closed Captioned Video: Ratios: Equivalent Ratios

Topic

Ratios

Description

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.

Ratios and Rates
Closed Captioned Video: Ratios: Fractional Ratios Closed Captioned Video: Ratios: Fractional Ratios Closed Captioned Video: Ratios: Fractional Ratios

Topic

Ratios

Description

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.

Ratios and Rates
Closed Captioned Video: Ratios: Rates Closed Captioned Video: Ratios: Rates Closed Captioned Video: Ratios: Rates

Topic

Ratios

Description

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.

Ratios and Rates
Closed Captioned Video: Ratios: Ratios and Fractions Closed Captioned Video: Ratios: Ratios and Fractions Closed Captioned Video: Ratios: Ratios and Fractions

Topic

Ratios

Description

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.

Ratios and Rates
Closed Captioned Video: Ratios: Ratios with Three Items Closed Captioned Video: Ratios: Ratios with Three Items Closed Captioned Video: Ratios: Ratios with Three Items

Topic

Ratios

Description

The video explains ratios involving more than two items, such as 1:3:4, and how they encompass multiple pairwise ratios. Applications include recipes where ingredients are combined in specific proportions. It demonstrates working forward and backward with ratios to identify components or adjust quantities proportionally.

Ratios and Rates
Closed Captioned Video: Ratios: Unit Rates Closed Captioned Video: Ratios: Unit Rates Closed Captioned Video: Ratios: Unit Rates

Topic

Ratios

Description

The video focuses on unit rates, where the denominator equals one. It includes practical examples like finding the cost per pound of bananas or determining hourly wages. Applications extend to conversions and scaling calculations for various real-world tasks.

Ratios and Rates
Closed Captioned Video: Ratios: Visual Models for Ratios Closed Captioned Video: Ratios: Visual Models for Ratios Closed Captioned Video: Ratios: Visual Models for Ratios

Topic

Ratios

Description

The video showcases visual representations like tape diagrams, snap cubes, and grids to solve ratio problems. It includes examples such as determining quantities in coin collections and paint mixtures. Applications involve modeling real-world problems using clear, visual methods.

Ratios and Rates
Closed Captioned Video: Ratios: Visual Models for Ratios and Percents Closed Captioned Video: Ratios: Visual Models for Ratios and Percents Closed Captioned Video: Ratios: Visual Models for Ratios and Percents

Topic

Ratios

Description

This video illustrates converting ratios to percents using visual aids like area models and grids. Examples include determining percentages of colored eggs, fruit types, and combinations of colored lights.

Ratios and Rates
Closed Captioned Video: Ratios: What Are Ratios? Closed Captioned Video: Ratios: What Are Ratios? Closed Captioned Video: Ratios: What Are Ratios?

Topic

Ratios

Description

This video introduces the concept of ratios, which describe relationships between quantities. Key concepts include writing ratios in different forms (e.g., 2:3, 2/3, and 2 to 3) and simplifying ratios. It also covers part-to-part ratios and part-to-whole ratios using examples like sports balls and colored shapes. Applications include categorizing objects and exploring numerical relationships in sets.

Ratios and Rates
Definition--Circle Concepts--Arc Length Definition--Circle Concepts--Arc Length Arc Length

Topic

Circles

Definition

An arc length is the distance along the curved line making up the arc.

Description

The arc length is a crucial concept in geometry, particularly when dealing with circles. It is calculated using the formula 

L = rθ

Definition of a Circle
Definition--Circle Concepts--Area of a Circle Definition--Circle Concepts--Area of a Circle Area of a Circle

Topic

Circles

Definition

The area of a circle is the space contained within its circumference, calculated as 

A = πr2

Description

The area of a circle is a fundamental concept in geometry, representing the space enclosed by the circle's boundary. This concept is widely applicable in fields such as physics, engineering, and design, where understanding the area is crucial for tasks like calculating material quantities or designing circular components. The formula 

A = πr2 

Definition of a Circle
Definition--Circle Concepts--Center of a Circle Definition--Circle Concepts--Center of a Circle Center of a Circle

Topic

Circles

Definition

The center of a circle is the point equidistant from all points on the circle.

Description

The center of a circle is a pivotal concept in geometry, serving as the reference point from which the radius is measured. It is crucial in defining the circle's position in a plane and is used in various applications such as navigation, where the center can represent a central point of rotation or balance. In mathematical terms, the center is often denoted as the point (h , k) in the Cartesian coordinate system, where all points on the circle satisfy the equation 

Definition of a Circle
Definition--Circle Concepts--Chord Definition--Circle Concepts--Chord Chord

Topic

Circles

Definition

A chord is a line segment with both endpoints on the circle.

Definition of a Circle
Definition--Circle Concepts--Circle Definition--Circle Concepts--Circle Circle

Topic

Circles

Definition

A circle is a set of all points in a plane equidistant from a given point, the center.

Description

The circle is one of the most fundamental shapes in geometry, characterized by its symmetry and uniformity. It is used extensively in various fields, including engineering, design, and astronomy, where its properties are applied to create wheels, gears, and orbits. Mathematically, a circle is defined by its center and radius, and its equation in a plane is 

(x − h)2 + (y − k)2 = r2 

Definition of a Circle
Definition--Circle Concepts--Circle Inscribed in a Square Definition--Circle Concepts--Circle Inscribed in a Square Circle Inscribed in a Square

Topic

Circles

Definition

A circle inscribed in a square touches all four sides of the square at exactly one point each.

Definition of a Circle
Definition--Circle Concepts--Circle Inscribed in a Triangle Definition--Circle Concepts--Circle Inscribed in a Triangle Circle Inscribed in a Triangle

Topic

Circles

Definition

An inscribed circle in a triangle is tangent to each of the triangle's sides.

Definition of a Circle
Definition--Circle Concepts--Circles on a Coordinate Plane Definition--Circle Concepts--Circles on a Coordinate Plane Circles on a Coordinate Plane

Topic

Circles

Definition

Circles on a coordinate plane are defined by their center coordinates and radius.

Description

Understanding circles on a coordinate plane is essential for analyzing geometric shapes in a mathematical context. This concept is widely used in computer graphics, navigation systems, and physics simulations, where precise positioning and movement of circular objects are required. The standard equation of a circle in the coordinate plane is 

(x − h)2 + (y − k)2 = r2

Definition of a Circle
Definition--Circle Concepts--Circular Arc Definition--Circle Concepts--Circular Arc Circular Arc

Topic

Circles

Definition

A circular arc is a portion of the circumference of a circle.

Description

Circular arcs are segments of a circle's circumference, used extensively in design, architecture, and engineering to create curved structures and paths. The length of an arc is determined by the central angle and the circle's radius, calculated using the formula 

L = rθ

Definition of a Circle
Definition--Circle Concepts--Circular Composite Figures Definition--Circle Concepts--Circular Composite Figures Circular Composite Figures

Topic

Circles

Definition

Circular composite figures are shapes that include circles or parts of circles combined with other geometric figures.

Definition of a Circle
Definition--Circle Concepts--Circular Cross-Sections Definition--Circle Concepts--Circular Cross-Sections Circular Cross-Sections

Topic

Circles

Definition

Circular cross-sections are the intersections of a plane with a solid that result in a circle.

Definition of a Circle