## Desmos Training

LEARN DESMOS: GRAPHING and calculator tool for math

To learn 21st Century Math you will need to know how to use the Desmos graphing calculator!

Graph functions, plot data, evaluate equations, explore transformations, and much more—all for free.

Get started and watch the following videos. You can find more videos at learn.desmos.com Write a summary of your learning experience in your math journal.

To learn 21st Century Math you will need to know how to use the Desmos graphing calculator!

Graph functions, plot data, evaluate equations, explore transformations, and much more—all for free.

Get started and watch the following videos. You can find more videos at learn.desmos.com Write a summary of your learning experience in your math journal.

## Math 1A - Linear Activity Links

Professor Lee students use the below listed codes Math 1A Polygraph: Lines ZDFYW Polygraph: Lines Part 2 WRAMYH Put the Point on the Line WE7NG Match My Line R6FJ9J Land the Plane UKSH9A Card Sort: Linear Functions GMSR8S Marbleslides: Lines RQ3UPR LEGO Prices ZFXPZG Two Truths and a Lie WVYJVD |

## Linear Systems Math 1B - Activity Links

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Key UnderstandingsA solution to a linear equation can be interpreted in two ways: (a) graphically, as a point on the line, and (b) algebraically, as an ordered pair that yields a true statement when substituted into the equation.

Likewise, a solution to a system of linear equations can be interpreted in two ways: (a) graphically, as a point that lies on each line in the system, and (b) algebraically, as an ordered pair that satisfies each equation in the system.

There are multiple ways to solve a system, including: graphing, substitution, and elimination. The best method often depends on the structure of the equations involved.

Activities in this bundle are designed to help students develop a conceptual understanding of systems of linear equations, with an emphasis on the graphical, numerical, and algebraic meaning of the solutions to those systems. Students should already be proficient at solving linear equations in one variable, and should also be familiar with graphing points and lines in the coordinate plane. No previous knowledge of solving systems—by graphing, substitution, or elimination—is expected or required.

**Linear Systems**Key UnderstandingsA solution to a linear equation can be interpreted in two ways: (a) graphically, as a point on the line, and (b) algebraically, as an ordered pair that yields a true statement when substituted into the equation.

Likewise, a solution to a system of linear equations can be interpreted in two ways: (a) graphically, as a point that lies on each line in the system, and (b) algebraically, as an ordered pair that satisfies each equation in the system.

There are multiple ways to solve a system, including: graphing, substitution, and elimination. The best method often depends on the structure of the equations involved.

Activities in this bundle are designed to help students develop a conceptual understanding of systems of linear equations, with an emphasis on the graphical, numerical, and algebraic meaning of the solutions to those systems. Students should already be proficient at solving linear equations in one variable, and should also be familiar with graphing points and lines in the coordinate plane. No previous knowledge of solving systems—by graphing, substitution, or elimination—is expected or required.

Professor Lee students use the below listed codes.Math 1B Polygraph: Linear Systems AZ3FNJSystems of two Linear Equations 47CQDY Solutions to Systems of two Linear Equations S86PXT Playing Catch up XR2M26 Racing Cars TRJRQA Wafers and Creme XQUM2U Card Sort: Linear Systems 94DX6G |

## Quadratic Functions- Math 2A - Activity Links

Key UnderstandingsLinear relationships used to be our entire world. That world was limited and needs to include quadratic relationships.

The graph of a quadratic relationship has certain properties, properties like intercepts, symmetry, concavity, properties that interact with each other, properties which can be used to predict each other.

The algebraic form of a quadratic relationship, and the operations we perform on it, reveal those properties with more precision than the graph does on its own.

Quadratic relationships also apply to situations in the world that involve acceleration under gravity and area.

Activities in this bundle are an introduction to quadratic functions for students in Algebra 2 or a similar course in an integrated sequence. While no previous experience with quadratics is required, students should be familiar with linear functions in multiple representations (graphs, tables, equations), and be able to work comfortably within the coordinate plane. Students will develop an understanding of the utility and basic characteristics of quadratic functions.

The graph of a quadratic relationship has certain properties, properties like intercepts, symmetry, concavity, properties that interact with each other, properties which can be used to predict each other.

The algebraic form of a quadratic relationship, and the operations we perform on it, reveal those properties with more precision than the graph does on its own.

Quadratic relationships also apply to situations in the world that involve acceleration under gravity and area.

Activities in this bundle are an introduction to quadratic functions for students in Algebra 2 or a similar course in an integrated sequence. While no previous experience with quadratics is required, students should be familiar with linear functions in multiple representations (graphs, tables, equations), and be able to work comfortably within the coordinate plane. Students will develop an understanding of the utility and basic characteristics of quadratic functions.

Dr. Smith students use the below listed codes.C7PA5BMath 2A Will It Hit the Hoop Polygraph: Parabolas UAYN336TPEPPolygraph: Parabolas Part 2 BW4SDDMatch My Parabola J4Y32JMarbleslides: Parabolas 3EAKTSCard Sort: Parabolas J8KS45Build a Bigger Field TT3TSCPenny Circle SPN5MN Two Truths and One Lie: Parabolas |
Professor Lee students use the below listed codes. Math 2AWill It Hit the Hoop 94DX6GPolygraph: Parabolas 28SHBGPolygraph: Parabolas Part 2 TY6K4WMatch My Parabola HG27JTMarbleslides: Parabolas MVS59MCard Sort: Parabolas BPVTGDBuild a Bigger Field 9JNKHKPenny Circle W48N9YR453BXTwo Truths and One Lie: Parabolas |

## Modeling Mathematics - Math 2B - Activity Links

Key Understandings

Mathematical models are simplifications of the world that allow us to make reasonable if imperfect predictions—both between existing data points and beyond them.

All mathematical models have limitations, which the applied mathematician should consider at various phases of the modeling process.

Sometimes the structure of the phenomenon we are modeling (e.g., area) suggests a particular kind of mathematical model; sometimes the shape of the data suggests it.

Activities

Modeling asks students a) to take the world and turn it into mathematical structures, then b) to operate on those mathematical structures, and finally c) to take the results of those operations and interpret them back in the world. That cycle comprises some of the most challenging, exhilarating, democratic work your students will ever do in mathematics, and it requires the best from all of your students—even the ones who dislike mathematics. If traditional textbooks have failed modeling in any one way, it’s that they perform the first and last acts for students, leaving only the most mathematical, most abstract act behind.

You’ll find modeling tasks in nearly all of our activity bundles. We think any long stretch of classroom time without modeling is a shame. We have assembled this particular bundle—designed for students in Algebra 2 or above—to provide teachers with a coherent sequence of increasingly demanding modeling tasks.

The tasks can be used in quick succession over the course of a couple of weeks, or spread throughout the year to gradually stretch and shape students’ modeling abilities.

Mathematical models are simplifications of the world that allow us to make reasonable if imperfect predictions—both between existing data points and beyond them.

All mathematical models have limitations, which the applied mathematician should consider at various phases of the modeling process.

Sometimes the structure of the phenomenon we are modeling (e.g., area) suggests a particular kind of mathematical model; sometimes the shape of the data suggests it.

Activities

Modeling asks students a) to take the world and turn it into mathematical structures, then b) to operate on those mathematical structures, and finally c) to take the results of those operations and interpret them back in the world. That cycle comprises some of the most challenging, exhilarating, democratic work your students will ever do in mathematics, and it requires the best from all of your students—even the ones who dislike mathematics. If traditional textbooks have failed modeling in any one way, it’s that they perform the first and last acts for students, leaving only the most mathematical, most abstract act behind.

You’ll find modeling tasks in nearly all of our activity bundles. We think any long stretch of classroom time without modeling is a shame. We have assembled this particular bundle—designed for students in Algebra 2 or above—to provide teachers with a coherent sequence of increasingly demanding modeling tasks.

The tasks can be used in quick succession over the course of a couple of weeks, or spread throughout the year to gradually stretch and shape students’ modeling abilities.

Professor Lee's Codes
Math 2B Charge YU55A3 Penny Circle W48N9Y iPhone 6s Opening Weekend Sales JTGDF5 Card Sort: Modeling SGNBAK Mocha Modeling: Starbuck Locations JQU7DN Burning Daylight FMJK5D What's My Transformation . K44XCX Card Sort Transformations XPQPDD Polygraph: Transformations KJ6FMN |