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Algebra 1 for Accelerated Learners

Malikai Bass M.A

Refund within 24 hours of payment until your next meeting or lesson access begins.

Standard

Math

In this five week pre-algebra and middle school math course, learners will identify similar shapes, create scale drawings, and connect existing geometry knowledge to the concept of slope through problem-centered exploration.

En este curso de cinco semanas de preálgebra y matemáticas de escuela secundaria, los estudiantes identificarán formas similares, crearán dibujos a escala y conectarán el conocimiento geométrico existente con el concepto de pendiente a través de la exploración centrada en problemas.

We will begin with a readiness check to understand students existing conception of geometry and algebra ideas that may need to be addressed and inform instruction throughout the unit.

Readiness Assessment

Scaled Copies

We will explore the idea of a scaled copy and learn to distinguish scaled copies both formally and informally using length and articulate the characteristics of scaled copies quantitatively.

What are scaled copies?

We will focus on developing vocabulary and understanding how to formalize the concepts developed about scaled copies. We will work on describing scaled copies using a scaled factor. We will create scaled copies of simple shapes off a grid and understand the relationship as multiplicative.

What is a scale factor?

We will work on understanding corresponding distances between non-connected points in scaled copies. We will use virtual protractors to explore what happens to angles in scaled copies and reason as to why they are preserved. We will use arguments about angles and lengths to identify scaled copies. We will also work with fractional scale factors to understand how factors greater or smaller than one impact scaled copies.

How does scale impact the relationship between shapes

We will look at scaled drawing of actual objects or places to understand how scaled drawings can represent three dimensional objects. We will also transfer ideas and concepts developed with scale drawings to scaled copies. We will also discuss the way scale is used and communicated in real world contexts.

How do we use scaled images in the real world? 

Scale Drawings

We will work on using the actual distance to calculate scale distances and understand the scale of drawings based on our understanding of real-like objects such as maps. Students will create scale drawings of the same object at different scales to see how the choice of scale impacts the communication of an idea.

How can we create scale drawings?

We will focus on recreating scale drawings at different scales through relationships and calculations. We will explore how the area of scaled drawings changes exponentially to reinforce conceptual understandings of areas and scale factors.

How can we change the scale in a drawing?

In this lesson, students will work on scales with and without units to understand the importance of units to a scale and how scaling impacts units differently. Working on scales without units will also strengthen our understanding of scaled relationships. We will analyze various scales and determine when we should and shouldn't use scales as well as the different ways to communicate a scale.

How do units work in scale drawings? 

We will have a review day in which we complete additional practice activities on scale and scale drawings including projects to prepare for a mid-unit check-in.

Review Day

 Students will complete a mid-unit check-in. They will independently and individually solve problems similar to those completed by the group and provide written explanation of their process. This will allow the teacher to confirm correct conceptual understanding.

Mid-Unit Check In

We will transition to thinking about the ways scaled copies exist on a coordinate grid. We will observe that if we arrange scaled rectangles to share an angle then the opposite vertices fall on a line. This will allow students to develop an informal concept of dilation before we begin that topic.

How does scale work with angles and grids?

Dilation

We will formalize our concept of dilation as a method for producing scaled copies of geometric figures. We will learn that a dilation has both a center and scale factor and apply dilation to figures on a circular grid as well as understand what information we need to perform a dilation without a grid. We will use this to create perspective drawings.

What is dilation?

 We will strengthen our conceptual knowledge of dilation through application. We will dilate polygons on a square grid with and without coordinates. Through this process we will develop an understanding of how to measure distances on the square grid and how to use the tools of a square grid to concisely communicate a dilation. We will explore how scale factors impact dilations.

How do Dilations work on a square grid?

Students will apply previous knowledge of rigid transformations and congruence (from unit 1) as well as dilations, to understanding similarity. We will co-construct a formal definition of similar shapes through an exploratory process.

What does it mean for shapes to be similar?

Similarity

Students will apply their growing understanding of similarity to circles and quadrilaterals and determine more efficient ways to decide whether or not two shapes are similar using side lengths, angle measures, and scale factors.

Exploring Similar Polygons

Students will use their understanding of triangle construction and angles (unit 1) and their understanding of similarity based on side and angle measures to explore similar triangles. They will learn that any triangles with two congruent angles are similarity through deductive reasoning.

Which triangles are similar?

Students will explore how we can use our knowledge of one shape and the scale factor to learn about similar shapes including corresponding sides and angles of triangles. We will also introduce side-length quotient as a way to mathematically determine similar triangles using side length.

What is the Side Length Quotient

Students will learn about slope triangles and their relationship to a line. They will establish the concept that the quotient of the vertical side length and the horizontal length of a triangle is constant and builds towards the slope of a line using our ideas of dilation, quotients, and shared angles. 

What is Slope?

Slope

Students will formalize and generalize their idea of slope to describe relationships satisfied by any point on a line using algebraic equations. They will learn how to establish slopes using any set of similar triangles on a shared line.

How can we write equations for lines using slope?

Students will apply their understanding to write and use equations about the slope of a line with less scaffolding and working towards being able to use any two points to identify the slope of a line based on conceptual understanding and a return to our idea of dilation.

How can we use equations for lines?

 In this lesson, students will apply their knowledge from this unit to create a scaled floor plan of a familiar room through measurement, planning, and problem solving.

How can we put ths to work?

 Students will examine the length of shadows of different objects to refresh their understanding of proportional relationships (year 1) and apply them to our understanding of scale and similar triangles. We will use the shadows of buildings to estimate their height through grounded real-world context.

Art Connection: Shadow Scale art

Students will have a review day to prepare for our final assessment and projects. 

 Students will complete a final assessment for the course through independent problem-solving including written/drawn explanations of their work.

End of Unit Assessment

Middle School Math, Logic, and Problem Solving: Similar Shapes, Scale, and Slope

Matemáticas, lógica y resolución de problemas en la escuela secundaria: figuras similares, escala y pendiente

1 on 1 tutoring / private lessons for Pre-Algebra.

Tutoría individual / clases privadas de preálgebra.

Pre-Algebra

Preálgebra

Rachel Krill

Boost your child’s prealgebra math skills in just 5 weeks! Enroll now in my comprehensive prealgebra math classes, covering all essential concepts for success!

¡Mejore las habilidades matemáticas de preálgebra de su hijo en solo 5 semanas! ¡Inscríbase ahora en mis clases integrales de preálgebra matemática, que cubren todos los conceptos esenciales para el éxito!

Prealgebra

Haeran Kim

This is an ongoing class that will following the Pre-Algebra Curriculum as is outlined through out a regular Pre-Algebra course.

I have created a coupon that you can use for the first week of class.

Coupon code: DYKHU1RVM120

Esta es una clase continua que seguirá el plan de estudios de preálgebra tal como se describe a lo largo de un curso de preálgebra regular.

He creado un cupón que puedes usar durante la primera semana de clases.

Código de cupón: DYKHU1RVM120

Pre-Algebra Full Year Course

Curso de preálgebra de un año completo

Gail Dykhuis

In this fun and engaging ongoing course, learners will get ready for Pre-Algebra!

¡En este curso continuo, divertido y atractivo, los estudiantes se prepararán para el preálgebra!

Slay Pre-Algebra: Learn the Foundations for Algebra

Domina el preálgebra: aprende los fundamentos del álgebra

Karrin Burns, M.A.-Licensed Educator

Perfect Pre-Algebra class for homeschoolers. Tailored to meet the unique needs and learning styles of homeschooled students, where students will develop a solid understanding of algebraic principles. 

Clase de preálgebra perfecta para estudiantes que estudian en casa. Adaptada a las necesidades y estilos de aprendizaje únicos de los estudiantes que estudian en casa, donde los estudiantes desarrollarán una comprensión sólida de los principios algebraicos. 

Pre-Algebra Foundations

Fundamentos de preálgebra

Cynthia Dise

In this Pre-Algebra Summer Camp, we'll review all the major principles students will need to be successful in Pre-Algebra this coming Fall Semester!

En este campamento de verano de preálgebra, repasaremos todos los principios principales que los estudiantes necesitarán para tener éxito en preálgebra el próximo semestre de otoño.

Pre-Algebra Prep Summer Camp

Campamento de verano de preparación para preálgebra

Matha Cum Laude, Certified Math Instructors

In this ongoing class, learners will learn Pre Algebra in a fun and engaging environment.  Leaners will have homework and revision.

En esta clase continua, los alumnos aprenderán preálgebra en un entorno divertido y atractivo. Los alumnos tendrán tareas y repasos.

Pre Algebra Full Year Math

Preálgebra Matemáticas de año completo

Wild and Unstructured Learning

This is an ongoing class for individuals to get one on one tutoring in Pre-Algebra

Esta es una clase continua para que las personas reciban tutoría personalizada en preálgebra.

Private Math Tutoring for Pre-Algebra

Tutoría privada de matemáticas para preálgebra

Karen Wingfield

This ongoing math class gives students the basics needed to succeed in pre-algebra. Each week we tackle a different concept from pre-algebra. It's perfect for students preparing to enter pre-algebra or who are currently in pre-algebra.

Esta clase de matemáticas continua brinda a los estudiantes los conceptos básicos necesarios para tener éxito en preálgebra. Cada semana abordamos un concepto diferente de preálgebra. Es perfecta para estudiantes que se preparan para ingresar a preálgebra o que actualmente están en preálgebra.

Weekly Pre-Algebra Class | Middle School Math

Clase semanal de preálgebra | Matemáticas de secundaria

Tiffany Willis, Certified Math Teacher

This is the successor to Pre-Algebra A: Prep for Algebra I.

Este es el sucesor de Preálgebra A: Preparación para Álgebra I.

Pre-Algebra B: Prep for Algebra I

Preálgebra B: preparación para Álgebra I

Deidre Simpson

This course is designed for learners who need math to make sense. Whether your child is neurodivergent, gifted, creative, or simply learns differently, this class offers a calm and engaging space to explore the foundations of Pre-Algebra.

Este curso está diseñado para estudiantes que necesitan que las matemáticas tengan sentido. Ya sea que su hijo sea neurodivergente, superdotado, creativo o simplemente tenga un aprendizaje diferente, esta clase ofrece un espacio tranquilo y estimulante para explorar los fundamentos de la preálgebra.

Pre-Algebra: For Curious and Neurodivergent Learners

Preálgebra: para estudiantes curiosos y neurodivergentes

Tiffany Mendoza

In this year-long course, students will learn all concepts from Lessons 1-30 of the Math U See Pre-Algebra program. 

En este curso de un año de duración, los estudiantes aprenderán todos los conceptos de las lecciones 1 a 30 del programa de preálgebra de Math U See. 

Math U See Pre-Algebra Class

Matemáticas U Ver clase de preálgebra

Lisa Taylor

This Course Provides an In-Depth Understanding of Foundational Pre Algebra Concepts.

Este curso proporciona una comprensión profunda de los conceptos fundamentales del preálgebra.

Pre-Algebra Concepts - A Summer Boot Camp

Conceptos de preálgebra: un campamento de verano

Professor P (Dave Peightel)

In this 4 week class, the first month of a prealgebra curriculum, learners will explore geometry and practice calculations.

En esta clase de 4 semanas, el primer mes de un plan de estudios de preálgebra, los estudiantes explorarán geometría y practicarán cálculos.

Transformations and Congruence | Prealgebra, Unit 1

Transformaciones y congruencia | Preálgebra, Unidad 1

Avrila at Math With Avrila

Skipping Pre-Algebra is a common option in schools (though some discourage it) because it is mostly review; the rest can be learned in about two hours #academic

Saltarse el preálgebra es una opción común en las escuelas (aunque algunas lo desaconsejan) porque es principalmente un repaso; el resto se puede aprender en aproximadamente dos horas #académico

Learn All of Pre-Algebra in One Day

Aprenda todo el preálgebra en un día

Thatcher Collins

Set yourself up for success with a firm foundation in Pre-Algebra Skills.

Prepárese para el éxito con una base sólida en habilidades de preálgebra.

First Semester of Pre-Algebra With a Certified Mathematics Teacher

Primer semestre de preálgebra con profesor certificado de matemáticas

Tina Dewey, M.Ed, State Certified Math Educator

In this rigorous math course, learners will begin geometry by exploring geometric properties using straight edge and compass constructions, formally defining rigid transformations, and building proofs using point-by-point analysis. 

En este riguroso curso de matemáticas, los estudiantes comenzarán la geometría explorando propiedades geométricas utilizando construcciones con regla y compás, definiendo formalmente transformaciones rígidas y construyendo pruebas utilizando análisis punto por punto. 

Geometry: Constructions and Rigid Transformations for Exceptional Learners

Geometría: construcciones y transformaciones rígidas para estudiantes excepcionales

In this rigorous math course, learners will begin algebra by studying single variable statistics in a variety of contexts, interpreting data based on center and distribution including deviation, and creating data displays using technology. 

En este riguroso curso de matemáticas, los estudiantes comenzarán el álgebra estudiando estadísticas de una sola variable en una variedad de contextos, interpretando datos basados en el centro y la distribución, incluida la desviación, y creando representaciones de datos utilizando tecnología. 

Algebra 1: Single Variable Statistics and Spreadsheets

Álgebra 1: Estadísticas de una sola variable y hojas de cálculo

In this four week pre-algebra and middle school math course, students will learn to understand the types of transformation, corresponding sides, corresponding angles, angle relationships, congruence, and triangles.

En este curso de cuatro semanas de preálgebra y matemáticas de escuela secundaria, los estudiantes aprenderán a comprender los tipos de transformación, lados correspondientes, ángulos correspondientes, relaciones de ángulos, congruencia y triángulos.

Middle School Math Pre-Algebra : Rigid Transformations and Congruence

Matemáticas de secundaria, preálgebra: transformaciones rígidas y congruencia

Games & Hobbies

Playing casual chess is a great way to develop executive functioning skills as it requires thinking ahead, impulse inhibition, and flexible thinking to respond to the changing state of the board! 

Jugar ajedrez de manera informal es una excelente manera de desarrollar habilidades de funcionamiento ejecutivo, ya que requiere pensar con anticipación, inhibir los impulsos y pensar de manera flexible para responder al estado cambiante del tablero. 

Stress Free Weekly Chess Club: Play and Develop Executive Functioning (10-14)

Club de ajedrez semanal sin estrés: juega y desarrolla el funcionamiento ejecutivo (10-14)

Playing casual chess is a great way to develop executive functioning skills as it requires thinking ahead, impulse inhibition, and flexible thinking as we learn more about chess, improve our life skills and social skills, and have fun!

Jugar ajedrez de manera informal es una excelente manera de desarrollar habilidades de funcionamiento ejecutivo, ya que requiere pensar con anticipación, inhibir los impulsos y pensar de manera flexible a medida que aprendemos más sobre ajedrez, mejoramos nuestras habilidades para la vida y las habilidades sociales, ¡y nos divertimos!

Stress Free Weekly Chess Club: Play and Develop Executive Functioning Skills

Club de ajedrez semanal sin estrés: juegue y desarrolle habilidades de funcionamiento ejecutivo

In this club, we will work together to learn to solve the cube using a beginner's method that prepares students for learning more advanced methods such as CFOP. This course is for students who don't know how to solve the cube independently.

En este club, trabajaremos juntos para aprender a resolver el cubo utilizando un método para principiantes que prepara a los estudiantes para aprender métodos más avanzados como CFOP. Este curso es para estudiantes que no saben cómo resolver el cubo de forma independiente.

Learn to Solve the Rubik's Cube: Confidence, Fine Motor and Executive Function

Aprende a resolver el cubo de Rubik: confianza, motricidad fina y función ejecutiva

In this one week summer camp, learners will learn how to solve the Rubik's Cube and build their confidence, hone fine motor skills, make friends, and try a new hobby. 

En este campamento de verano de una semana, los estudiantes aprenderán a resolver el Cubo de Rubik y desarrollarán su confianza, perfeccionarán sus habilidades motoras finas, harán amigos y probarán un nuevo pasatiempo. 

Learn to Solve the Rubik's Cube: Cubing, Motor and Social Skills Summer Camp

Aprende a resolver el cubo de Rubik: campamento de verano de cubos, habilidades motoras y sociales

In this one week virtual summer camp, learners will learn how to solve the 2 by 2 Rubik's cube. This class is perfect for cubers of all levels regardless of 3 by 3 ability. We will learn algorithms and cubing fundamentals. 

En este campamento de verano virtual de una semana, los alumnos aprenderán a resolver el cubo de Rubik de 2x2. Esta clase es perfecta para jugadores de cubos de todos los niveles, independientemente de su habilidad con el cubo de 3x3. Aprenderemos algoritmos y fundamentos del cubo. 

Learn to Solve Rubik's 2x2 Cube Camp: Confidence, Motor Skills, and Social Club

Campamento para aprender a resolver el cubo de Rubik 2x2: confianza, habilidades motoras y club social

Life Skills

In this weekly enrichment class, students will play a different virtual board game to encourage communication, collaboration, and problem solving with a neurodivergent mentor.

En esta clase de enriquecimiento semanal, los estudiantes jugarán un juego de mesa virtual diferente para fomentar la comunicación, la colaboración y la resolución de problemas con un mentor neurodivergente.

Weekly Board Game Club: Executive Functioning & Social Skills Through Games

Club de juegos de mesa semanal: funciones ejecutivas y habilidades sociales a través del juego

In this three week online course, learners will begin their Algebra Two journey by exploring sequences and functions and reviewing graphing, equation, and technology skills to support their success throughout the year. 

En este curso en línea de tres semanas, los estudiantes comenzarán su recorrido de Álgebra Dos explorando secuencias y funciones y revisando habilidades de gráficos, ecuaciones y tecnología para apoyar su éxito durante todo el año. 

Algebra 2 for Execeptional Learners: Sequences and Functions

Álgebra 2 para estudiantes excepcionales: secuencias y funciones

In this small group chess club, your learner will get individual attention as they work on chess fundamentals, executive functioning, social skills, collaborate,  and enjoy the game with other intermediate to advanced players.

En este club de ajedrez para grupos pequeños, su alumno recibirá atención individual mientras trabaja en los fundamentos del ajedrez, el funcionamiento ejecutivo, las habilidades sociales, colabora y disfruta del juego con otros jugadores de nivel intermedio a avanzado.

Stress-Free Chess Weekly Club With Executive & Life Skills Advanced

Club semanal de ajedrez sin estrés con habilidades ejecutivas y de vida avanzadas

In this 4 week class, the second month of a prealgebra curriculum, learners will extend their explorations of geometry from rigid transformations to nonrigid transformations, and apply proportionate reasoning.

En esta clase de 4 semanas, el segundo mes de un plan de estudios de preálgebra, los estudiantes ampliarán sus exploraciones de geometría desde transformaciones rígidas a transformaciones no rígidas y aplicarán el razonamiento proporcional.

Scale, Similarity, and Slope | Prealgebra, Module 2

Escala, semejanza y pendiente | Preálgebra, Módulo 2

Math is hard. Math in middle school is even harder! Why are there letters?  What is a y-intercept? Rate of change? I am here to help your learner make sense of the vocabulary and the concepts.

Las matemáticas son difíciles. ¡Las matemáticas en la escuela secundaria son aún más difíciles! ¿Por qué hay letras? ¿Qué es la intersección con el eje y? ¿Cuál es la tasa de cambio? Estoy aquí para ayudar a su alumno a comprender el vocabulario y los conceptos.

Middle School Math: Slope: Y=Mx+B (Help!)

Matemáticas de secundaria: Pendiente: Y=Mx+B (¡Ayuda!)

Ms. Kate (M.Ed)

One on One Class focusing on Higher Grade Mathematics, End of year Revision. On going help is on specific topics is also available in this class. We can also do exam prep for GRE, SAT or any similar tests. IGCSE Core and Extended contents.

Clases individuales centradas en las matemáticas de nivel superior y la revisión de fin de año. También se ofrece ayuda continua sobre temas específicos en esta clase. También podemos preparar exámenes para GRE, SAT o cualquier prueba similar. Contenidos básicos y ampliados de IGCSE.

Matemáticas, lógica y resolución de problemas en la escuela secundaria: figuras similares, escala y pendiente

Malikai Bass M.A

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