- Module 1
- Module 2
- Module 3
- Module 4
- Module 5
Thinking Proportionally
In this module, students build on their experiences with
ratios and proportional relationships from grade 6. They will investigate special ratios to develop and connect formulas for the circumference and area of circles. Students will identify and describe proportional and non-proportional mathematical and real-world situations to understand the characteristics of proportional relationships. They will then use formal strategies to solve proportion and percent problems.Module 1: Thinking Proportionally
Topic 1: Circles & Ratio
Topic 2: Fractional Rates
Topic 3: Proportionality
Topic 4: Proportional Relationships
In this topic, students use their knowledge of proportionality to solve real-world problems about money and scale drawings. They solve a wide variety of multistep ratio and percent problems, including problems about tips, commissions, gratuities, simple interest, taxes, markups and markdowns, and scale factors and drawings. 1. Markups and Markdowns: Introducing Proportions to Solve Percent Problems 2. Perks of Work: Calculating Tips,
Commission, and Simple Interest 3. No Taxation Without Calculation: Sales Tax, Income Tax, and Fees 4. More Ups and Downs: Percent Increase and Percent
Decrease 5. Pound for Pound, Inch for Inch: Scale and Scale DrawingsTeacher Materials
Lesson Materials
Assessments
- Assessment Overview
- Pre-Test
- Pre-Test Answer Key
- Post-Test
- Post-Test Answer Key
- End of Topic Test Form A
- End of Topic Test Form A Answer Key
- End of Topic Test Form B
- End of Topic Test Form B Answer Key
- Standardized Practice Test
- Standardized Practice Test Answer Key
- Topic Performance Task
Student Materials
Student Lessons and Assignments
1. Markups and Markdowns: Introducing Proportions to Solve Percent Problems
- Student Lesson
2. Perks of Work: Calculating Tips, Commission, and Simple Interest
- Student Lesson
3. No Taxation Without Calculation: Sales Tax, Income Tax, and Fees
- Student Lesson
4. More Ups and Downs: Percent Increase and Percent Decrease
- Student Lesson
5. Pound for Pound, Inch for Inch: Scale and Scale Drawings
- Student Lesson
MATHia Software Workspaces
Operating with Signed Numbers
In this module, students build on their experiences with signed numbers and absolute value in grade 6.
They will use physical motion, number line models, and two-color counters to develop an understanding of the rules for operating with positive and negative numbers. Students will then solve real-world and mathematical problems involving positive and negative rational numbers. Module 2: Operating with Signed Numbers
Topic 1: Adding and Subtracting Rational Numbers
In this topic, students use number lines and two-color counters to model addition and subtraction of integers before developing
rules for the sum and difference of signed numbers. 1. Math Football: Using Models to Understand Integer Addition 2. Walk the Line: Adding Integers, Part I 3. Two-Color Counters: Adding Integers, Part II 4. What's the Difference?: Subtracting Integers 5. All Mixed Up: Adding and Subtracting Rational NumbersTeacher Materials
Lesson Materials
Assessments
- Assessment Overview
- Pre-Test
- Pre-Test Answer Key
- Post-Test
- Post-Test Answer Key
- End of Topic Test Form A
- End of Topic Test Form A Answer Key
- End of Topic Test Form B
- End of Topic Test Form B Answer Key
- Standardized Practice Test
- Standardized Practice Test Answer Key
- Topic Performance Task
Student Materials
Student Lessons and Assignments
1. Math Football: Using Models to Understand Integer Addition
- Student Lesson
2. Walk the Line: Adding Integers, Part I
- Student Lesson
3. Two-Color Counters: Adding Integers, Part II
- Student Lesson
4. What's the Difference?: Subtracting Integers
- Student Lesson
5. All Mixed Up: Adding and Subtracting Rational Numbers
- Student Lesson
MATHia Software Workspaces
Topic 2: Multiplying and Dividing Rational Numbers
In this topic, students again use number lines and two-color counters to model the multiplication of integers before developing rules for the product of signed numbers. 1. Equal Groups: Multiplying and Dividing Integers 2. Be Rational!: Quotients of Integers 3. Building a Wright Brothers' Flyer: Simplifying Expressions to Solve Problems 4. Properties Schmoperties: Using Number Properties to Interpret Expressions with Signed NumbersTeacher Materials
Lesson Materials
Assessments
- Assessment Overview
- Pre-Test
- Pre-Test Answer Key
- Post-Test
- Post-Test Answer Key
- End of Topic Test Form A
- End of Topic Test Form A Answer Key
- End of Topic Test Form B
- End of Topic Test Form B Answer Key
- Standardized Practice Test
- Standardized Practice Test Answer Key
- Topic Performance Task
Student Materials
Student Lessons and Assignments
1. Equal Groups: Multiplying and Dividing Integers
- Student Lesson
2. Be Rational!: Quotients of Integers
- Student Lesson
3. Building a Wright Brothers' Flyer: Simplifying Expressions to Solve Problems
- Student Lesson
4. Properties Schmoperties: Using Number Properties to Interpret Expressions with Signed Numbers
- Student Lesson
Reasoning Algebraically
In this module, students build on their experiences with algebraic expressions and one-step equations in grade 6. The
expressions, equations, and inequalities they encounter will involve a wide range of rational numbers and require two steps rather than one. Students will write equations and inequalities for problem situations, interpret the meanings of quantities in the problems, create tables of values, graph problem situations, and make connections across the representations.Module 3: Reasoning Algebraically
Topic 1: Algebraic Expressions
Topic 2: Two-Step Equations & Inequalities
Topic 3: Multiple Representations of Equations
Analyzing Populations and Probabilities
In this module, students will learn the basics of probability and use the theoretical and experimental probability of simple and compound events to make predictions. They will use models and simulations to determine probabilities. Students will build on their experiences with measures of center, the five-number summary, plots
of numerical data, and proportional reasoning to draw comparative inferences between two populations. Module 4: Analyzing Populations and Probabilities
Topic 1: Introduction to Probability
Topic 2: Compound Probability
Topic 3: Drawing Inferences
In this topic, students continue developing their understanding of the statistical process by exploring the second component of the process: data collection. They learn about samples,
populations, censuses, parameters, and statistics. Students then discuss the importance of representative samples, including random samples, for the purpose of making generalizations about the populations represented by the samples. 1. We Want to Hear From You!: Collecting Random Samples 2. Tiles, Gumballs, and Pumpkins: Using Random Samples to Draw Inferences 3. Spicy or Dark?: Comparing Two Populations 4.
Finding Your Spot to Live: Using Random Samples from Two Populations to Draw ConclusionsTeacher
Materials
Lesson Materials
Assessments
- Assessment Overview
- Pre-Test
- Pre-Test Answer Key
- Post-Test
- Post-Test Answer Key
- End of Topic Test Form A
- End of Topic Test Form A Answer Key
- End of Topic Test Form B
- End of Topic Test Form B Answer Key
- Standardized Practice Test
- Standardized Practice Test Answer Key
- Topic Performance Task
Student Materials
Student Lessons and Assignments
1. We Want to Hear From You!: Collecting Random Samples
- Student Lesson
2. Tiles, Gumballs, and Pumpkins: Using Random Samples to Draw Inferences
- Student Lesson
3. Spicy or Dark?: Comparing Two Populations
- Student Lesson
4. Finding Your Spot to Live: Using Random Samples from Two Populations to Draw Conclusions
- Student Lesson
MATHia Software Workspaces
Constructing and Measuring
In this module, students build on their experiences with angles and triangles and introduce the construction of familiar geometric objects. They will construct basic geometric objects with a compass and straightedge and later use these techniques to construct triangles. Students will use patty paper to investigate special types of angle
relationships and then use those relationships to write and solve equations to determine unknown values in a figure. They will use their knowledge of polygons and polyhedra to create and describe cross-sections of right rectangular prisms and pyramids. Finally, students will extend their knowledge of volume and surface area to solve problems involving a variety of three-dimensional solids.Module 5: Constructing and Measuring
Topic 1: Angles & Triangles
Topic 2: Three-Dimensional Figures
- Módulo 1
- Módulo 2
- Módulo 3
- Módulo 4
- Módulo 5
Piensa Proporcionalmente
Módulo 1: Piensa Proporcionalmente
Módulo completo del estudiante
Tema 3: Proporcionalidad
1. ¿Cómo crece tu
huerto?: Relaciones proporcionales 2. Cumplir con el Título IX: Constante de proporcionalidad 3. Peces-pulgadas: Identificar la
constante de proporcionalidad en gráficas 4. Presta atención: Constante de proporcionalidad en múltiples representaciones .Materiales del estudiante
Lecciones para estudiantes
Tema 4: Relaciones proporcionales
1. Márgenes de ganancia y descuento: Introducir proporciones para resolver problemas de porcentajes 2. Ventajas del trabajo: Calcular propinas, comisiones e interés simpleMateriales del estudiante
Lecciones para estudiantes
- Lección del estudiante
3. Cálculos e impuestos: Impuesto sobre la venta, impuesto sobre la renta y aranceles
- Lección del estudiante
4. Más incrementos y reducciones: Porcentaje de aumento y porcentaje de disminución
- Lección del estudiante
5. Libra por libra, pulgada por pulgada: Escala y dibujos a escala
- Lección del estudiante
Operaciones de números con signo
Módulo 2: Operaciones de números con signo
Módulo completo del estudiante
Tema 1: Sumar y restar números racionales
1.
Fútbol americano matemático: Utilizar modelos para comprender la suma de números enteros 2. Caminar por la línea: Sumar números enteros, Parte I 3. Fichas de dos colores: Sumar números enteros, Parte II 4. ¿Cuál es la diferencia?: Restar números enteros 5. Una mezcla
de todo: Sumar y restar números racionalesMateriales del estudiante
Lecciones para estudiantes
Tema 2: Multiplicar y dividir números racionales
1. Grupos iguales: Multiplicar y dividir números enteros 2. ¡Ser racional!: Cociente de números enteros 3. Construir un avión como el de los hermanos Wright: Simplificar expresiones para resolver problemas 4. Conocer las propiedades: Utilizar las
propiedades para interpretar expresiones con números con signoMateriales del estudiante
Lecciones para estudiantes
Razonamiento algebraico
Módulo 3: Razonamiento algebraico
Módulo completo del estudiante
Tema 2: Ecuaciones y desigualdades de dos pasos
1. Álgebra con dibujos: Representar ecuaciones como expresiones iguales 2. Expresiones que juegan juntas…: Resolver ecuaciones sobre una recta numérica doble 3. Formalmente tuyo: Utilizar operaciones inversas para la resolución de ecuaciones 4. Ser mayor que: Resolver desigualdades con operaciones inversasMateriales del estudiante
Lecciones para estudiantes
Tema 3: Varias representaciones
1. Poner en el plano: Representar ecuaciones con tablas y gráficas 2. Tramos, pilas y estructura: Estructurar ecuaciones lineales 3. Deep Flight I: Construir desigualdades y ecuaciones para resolver problemas 4. Té de Texas y temperatura: Utilizar varias representaciones para resolver problemasMateriales del estudiante
Lecciones para
estudiantes
Analizar poblaciones y probabilidades
Módulo 4: Analizar poblaciones y probabilidades
Módulo completo del estudiante
Tema 1: La probabilidad
1. Lanzar, lanzar,
lanzar...: Definir y representar la probabilidad 2. Dar a los modelos una oportunidad: Modelos de probabilidad 3. Lanzar el vaso:
Determinar la probabilidad experimental de eventos simples 4. Simular una conversación: Experimentos simples simuladosMateriales del estudiante
Lecciones para estudiantes
Tema 2: Probabilidad compuesta
1. ¿Pares o impares?: Utilizar matrices para organizar resultados 2. ¿Tres niñas y ningún niño?: Utilizar diagramas de árbol 3. Probabilidad en la tienda de mascotas: Determinar la probabilidad compuesta 4. Con buena racha: Simular la probabilidad de eventos compuestosMateriales del estudiante
Lecciones para estudiantes
Tema 3: Dibujar inferencias
1. ¡Queremos saber de ti!: Recopilar muestras aleatorias 2. Azulejos, bolas de goma de mascar y calabazas: Utilizar muestras aleatorias para dibujar inferencias 3. ¿Condimentado o amargo?: Comparar dos poblaciones 4. Encontrar tu lugar para vivir: Utilizar muestras aleatorias de dos poblaciones para sacar conclusionesMateriales del estudiante
Lecciones para estudiantes
Construir y medir
Módulo 5: Construir y medir
Módulo completo del estudiante
Tema 1: Ángulos y triángulos
1. Conocer a
Euclides: Construcciones de formas geométricas 2. Entrega especial: Relaciones especiales de ángulos 3. Considerar todos los lados:
Construir triángulos con lados dados 4. ¿Único o no?: Construir triángulos con ángulos dadosMateriales del estudiante
Lecciones para estudiantes
Tema 2: Figuras tridimensionales
1. Fragmentación: Secciones transversales de prismas rectangulares 2. Dividir una pirámide: Secciones transversales de pirámides rectangulares 3. Oiga, señor, ¿tiene comida para pájaros?: Volumen de las pirámides 4. El sonido del área de la superficie: Área de la superficie de pirámides 5. Más de cuatro lados de la historia: Volumen y área de la
superficie de prismas y pirámidesMateriales del estudiante
Lecciones para estudiantes
- Tabla de contenido
- Índice
- Glosario
- Lesson Video Library
- LiveHint™
- Module 1
- Module 2
- Module 3
- Module 4
- Module 5
Transforming Geometric Objects
In this module, students build on their experience
with rational numbers, proportionality, scale drawings, triangles, and angle pairs formed when two lines intersect. They will use patty paper to investigate transformations of geometric objects to develop an understanding of congruence and similarity. Students will then use this new knowledge about transformations to establish facts about triangles and relationships between special angle pairs.Module 1: Transforming Geometric Objects
Topic 1: Rigid Motion Transformations
In this topic, students use patty paper and the coordinate plane to investigate congruent figures. Throughout the topic, students are expected to make conjectures, investigate conjectures, and justify true results about transformations. 1. Patty Paper, Patty Paper: Introduction to Congruent Figures 2. Slides, Flips, and Spins: Introduction to Rigid Motion 3. Lateral Moves:
Translations of Figures on the Coordinate Plane 4. Mirror, Mirror: Reflections of Figures on the Coordinate Plane 5. Half Turns and Quarter Turns: Rotations of Figures
on the Coordinate Plane 6. Every Which Way: Combining Rigid MotionsTeacher
Materials
Lesson Materials
Assessments
- Assessment Overview
- Pre-Test
- Pre-Test Answer Key
- Post-Test
- Post-Test Answer Key
- End of Topic Test Form A
- End of Topic Test Form A Answer Key
- End of Topic Test Form B
- End of Topic Test Form B Answer Key
- Standardized Practice Test
- Standardized Practice Test Answer Key
- Topic Performance Task
Student Materials
Student Lessons and Assignments
1. Patty Paper, Patty Paper: Introduction to Congruent Figures
- Student Lesson
2. Slides, Flips, and Spins: Introduction to Rigid Motion
- Student Lesson
3. Lateral Moves: Translations of Figures on the Coordinate Plane
- Student Lesson
4. Mirror, Mirror: Reflections of Figures on the Coordinate Plane
- Student Lesson
5. Half Turns and Quarter Turns: Rotations of Figures on the Coordinate Plane
- Student Lesson
6. Every Which Way: Combining Rigid Motions
- Student Lesson
MATHia Software Workspaces
Topic 2: Similarity
Topic 3: Line and Angle Relationships
Developing Function Foundations
In this
module, students build on their experience with proportional relationships and the work they did in Transforming Geometric Objects. Students will analyze and represent linear relationships using tables, equations, graphs, and scenarios. They will develop an understanding of functions. Once they know how to describe functional relationships and construct linear models, they will apply these skills to analyze bivariate data. The concepts in this module will provide the basis for the majority of
their high school algebra and statistics studies.Module 2: Developing Function Foundations
Topic 2: Linear Relationships
In this topic, students develop fluency with analyzing linear relationships, writing equations of lines, and graphing lines. Using prior knowledge, students learn to calculate the slope for linear relationships represented in tables and from contexts, connecting the geometric representaions used in the previous topic with the algebraic processes used to calculate slope. 1. U.S. Shirts: Using Tables, Graphs, and Equations 2. At the Arcade: Linear Relationships in Tables 3. Dining, Dancing, Driving: Linear Relationships in Contexts 4. Derby Day: Slope-Intercept Form of a Line 5. What's the Point?: Point-Slope Form of a Line 6. The Arts Are Alive: Using Linear EquationsTeacher Materials
Lesson Materials
Assessments
- Assessment Overview
- Pre-Test
- Pre-Test Answer Key
- Post-Test
- Post-Test Answer Key
- End of Topic Test Form A
- End of Topic Test Form A Answer Key
- End of Topic Test Form B
- End of Topic Test Form B Answer Key
- Standardized Practice Test
- Standardized Practice Test Answer Key
- Topic Performance Task
Student Materials
Student Lessons and Assignments
1. U.S. Shirts: Using Tables, Graphs, and Equations
- Student Lesson
2. At the Arcade: Linear Relationships in Tables
- Student Lesson
3. Dining, Dancing, Driving: Linear Relationships in Contexts
- Student Lesson
4. Derby Day: Slope-Intercept Form of a Line
- Student Lesson
5. What's the Point?: Point-Slope Form of a Line
- Student Lesson
6. The Arts Are Alive: Using Linear Equations
- Student Lesson
MATHia Software Workspaces
Topic 3: Introduction to Functions
In this topic, students begin to formalize the concept of function, which is a concept they may intuitively understand. They explore functions in terms of sequences, mappings, sets of ordered pairs, graphs, tables, verbal descriptions, and equations. 1. Patterns, Sequences, Rules...: Analyzing Sequences as Rules 2. Once Upon a Graph: Analyzing the Characteristics of Graphs of Relationships 3. One or More Xs to One Y: Defining Functional Relationships 4. Over the River and Through the Woods: Describing
Functions 5. Comparing Apples to Oranges: Comparing Functions Using Different RepresentationsTeacher
Materials
Lesson Materials
Assessments
- Assessment Overview
- Pre-Test
- Pre-Test Answer Key
- Post-Test
- Post-Test Answer Key
- End of Topic Test Form A
- End of Topic Test Form A Answer Key
- End of Topic Test Form B
- End of Topic Test Form B Answer Key
- Standardized Practice Test
- Standardized Practice Test Answer Key
- Topic Performance Task
Student Materials
Student Lessons and Assignments
1. Patterns, Sequences, Rules...: Analyzing Sequences as Rules
- Student Lesson
2. Once Upon a Graph: Analyzing the Characteristics of Graphs of Relationships
- Student Lesson
3. One or More Xs to One Y: Defining Functional Relationships
- Student Lesson
4. Over the River and Through the Woods: Describing Functions
- Student Lesson
5. Comparing Apples to Oranges: Comparing Functions Using Different Representations
- Student Lesson
MATHia Software Workspaces
Topic 4: Patterns in Bivariate Data
In this topic, students review the statistical process and investigate associations in bivariate data, both quantitative and categorical. Students use their experience plotting points to create graphical representations of data to identify and explain patterns they notice. 1. Pass the Squeeze: Analyzing Patterns in Scatter Plots 2. Where Do You Buy Your Books?: Drawing Lines of Best Fit 3. Mia Is Growing Like a Weed: Analyzing Lines of Best Fit 4.
The Stroop Test: Comparing Slopes and Intercepts of Data from Experiments 5. Would You Rather...?: Patterns of Association in Two-Way TablesTeacher
Materials
Lesson Materials
Assessments
- Assessment Overview
- Pre-Test
- Pre-Test Answer Key
- Post-Test
- Post-Test Answer Key
- End of Topic Test Form A
- End of Topic Test Form A Answer Key
- End of Topic Test Form B
- End of Topic Test Form B Answer Key
- Standardized Practice Test
- Standardized Practice Test Answer Key
- Topic Performance Task
Student Materials
Student Lessons and Assignments
1. Pass the Squeeze: Analyzing Patterns in Scatter Plots
- Student Lesson
2. Where Do You Buy Your Books?: Drawing Lines of Best Fit
- Student Lesson
3. Mia Is Growing Like a Weed: Analyzing Lines of Best Fit
- Student Lesson
4. The Stroop Test: Comparing Slopes and Intercepts of Data from Experiments
- Student Lesson
4. The Stroop Test: Comparing Slopes and Intercepts of Data from Experiments
- Student Lesson
5. Would You Rather...?: Patterns of Association in Two-Way Tables
- Student Lesson
MATHia Software Workspaces
Modeling with Linear Equations
In this module, students build on their experiences of solving two-step equations
and graphing linear equations. They will apply number properties as strategies to write equations in equivalent forms and explore strategies for solving equations with variables on both sides of the equals sign. Students will write and solve equations to answer questions about real-world situations. They will also use systems of linear equations to solve real-world problems.Module 3: Modeling with Linear Equations
Topic 1: Solving Linear Equations
Topic 2: Systems of Linear Equations
Expanding Number Systems
In this module, students connect number, equations, and geometry. They will explore the properties that define the number systems that they are familiar with and then learn about a new system. Students will develop an understanding of the Pythagorean Theorem and its converse and then apply those theorems to
solve real-world problems.Module 4: Expanding Number Systems
Topic 1: The Real Number System
Topic 2: Pythagorean Theorem
Applying Powers
In this module, students build on their knowledge of exponents to develop new rules for operating with integer exponents. They will learn how to write, recognize, compare, and operate with numbers expressed in scientific notation. Students will build on their prior experiences with the volume of prisms
and pyramids to develop formulas for the volume of cylinders, cones, and spheres.Module 5: Applying Powers
Topic 1: Exponents and Scientific Notation
Topic 2: Volume of Curved Figures
In this topic, students solve real-world and mathematical problems involving volume of cylinders, cones, and spheres. Students explore each figure in turn and determine the formula for the volume of each. They practice applying each formula, and then they solve problems requiring the use of multiple volume formulas. 1. Drum Roll, Please!: Volume of a Cylinder 2. Cone of Silence: Volume of a Cone 3. Pulled in All Directions: Volume of a Sphere 4. Silos, Frozen Yogurt, and Popcorn: Volume Problems with Cylinders, Cones, and SpheresTeacher Materials
Lesson Materials
Assessments
- Assessment Overview
- Pre-Test
- Pre-Test Answer Key
- Post-Test
- Post-Test Answer Key
- End of Topic Test Form A
- End of Topic Test Form A Answer Key
- End of Topic Test Form B
- End of Topic Test Form B Answer Key
- Standardized Practice Test
- Standardized Practice Test Answer Key
- Topic Performance Task
Student Materials
Student Lessons and Assignments
1. Drum Roll, Please!: Volume of a Cylinder
- Student Lesson
2. Cone of Silence: Volume of a Cone
- Student Lesson
3. Pulled in All Directions: Volume of a Sphere
- Student Lesson
4. Silos, Frozen Yogurt, and Popcorn: Volume Problems with Cylinders, Cones, and Spheres
- Student Lesson
MATHia Software Workspaces
- Módulo 1
- Módulo 2
- Módulo 3
- Módulo 4
- Módulo 5
Transformar objetos geométricos
Módulo 1: Transformar objetos geométricos
Módulo completo del estudiante
Tema 1: Transformaciones de movimientos rígidos
1. Practiquemos con papel parafinado: Introducción a figuras congruentes 2. Deslizar, voltear y girar: Introducción a los movimientos rígidos 3. Movimientos laterales: Traslaciones de figuras en el plano de coordenadas 4. Espejito, espejito: Reflexiones de figuras en el plano de coordenadas 5. Medias vueltas y cuartos de vuelta: Rotaciones de figuras en el plano de
coordenadas 6. En todas direcciones: Combinar movimientos rígidosMateriales del estudiante
Lecciones para estudiantes
Tema 2: Semejanza
1. Geometría de alejar-acercar: Dilataciones de figuras 2. Subir, correr, pisar, escalar: Dilatar figuras en el plano de coordenadas 3. De aquí para allá: Mapear figuras semejantes utilizando transformacionesMateriales del estudiante
Lecciones para estudiantes
Desarrollar los fundamentos de las funciones
Módulo 2: Desarrollar los fundamentos de las funciones
Módulo completo del estudiante
Tema 1: De proporciones a relaciones lineales
1. Proporciones postsecundarias: Representaciones de relaciones proporcionales 2. Jack y Jill subieron la colina: Utilizar triángulos semejantes para describir la inclinación de una recta 3. Pendientes resbalosas: Explorar pendientes utilizando triángulos semejantes 4. Arriba, abajo y por todos lados: Transformaciones de rectasMateriales del estudiante
Lecciones para estudiantes
Tema 2: Relaciones lineales
1. U.S. Shirts: Utilizar tablas, gráficas y ecuaciones 2. En el salón de juegos: Relaciones lineales en tablas 3. Comer, bailar y conducir: Relaciones lineales en contextos 4. Día del
derbi: Forma pendiente-intercepto de una recta 5. ¿Cuál es el punto?: Forma punto-pendiente de una recta 6. Las artes tienen vida:
Utilizar ecuaciones linealesMateriales del estudiante
Lecciones para estudiantes
Tema 3: Introducción a las funciones
1. Patrones, secuencias, reglas...: Analizar secuencias como reglas 2. Había una vez una gráfica: Analizar las características de las gráficas de las relaciones 3. Una o más X para una Y: Definir las relaciones funcionales 4. Por el río y a través del bosque: Describir las funciones 5. Comparar manzanas con naranjas: Comparar funciones utilizando diferentes representacionesMateriales
del estudiante
Lecciones para estudiantes
Tema 4: Patrones en datos bivariados
1. Pasa el apretón: Analizar patrones en diagramas de dispersión 2. ¿Dónde compras tus libros?: Dibujar rectas que mejor se ajustan 3. Mia crece como la maleza: Analizar rectas que mejor se ajustan 4. Prueba de Stroop: Comparar pendientes e interceptos de datos de experimentos 5. ¿Qué prefieres?: Patrones de asociación en tablas de doble
entradaMateriales del estudiante
Lecciones para estudiantes
Representar ecuaciones lineales
Módulo 3: Representar ecuaciones lineales
Módulo completo del estudiante
Tema 2: Sistemas de ecuaciones lineales
1.
Caminos cruzados: Punto de intersección de gráficas lineales 2. El camino menos transitado: Sistemas de ecuaciones lineales 3. La feria
del condado: Utilización de la sustitución para resolver sistemas lineales 4. Pistas de patinaje: Elección de un método para resolver un sistema linealMateriales del estudiante
Lecciones para estudiantes
Expandir los sistemas numéricos
Módulo 4: Expandir los sistemas numéricos
Módulo completo del estudiante
Tema 2: Teorema de Pitágoras
1. La conexión del triángulo rectángulo: El Teorema de Pitágoras 2. ¿Puede ser eso correcto?: El inverso del Teorema de Pitágoras 3. Pitágoras conoce a Descartes: Distancias en un sistema de coordenadas 4. Catty Corner: La longitud de los lados en dos y tres dimensionesMateriales del estudiante
Lecciones para estudiantes
Aplicar potencias
Módulo 5: Aplicar potencias
Módulo completo del estudiante
Tema 1: Exponentes y notación científica
1. Es algo generacional: Propiedades de las potencias con exponentes de número entero 2. Muestra lo que sabes: Análisis de propiedades de las potencias 3. Lo grande y lo pequeño: Notación científica 4. ¿Cuánto más grande?: Operaciones con notación científicaMateriales del estudiante
Lecciones para estudiantes
Tema 2: Volumen de figuras curvas
1. ¡Redoble de tambores, por favor!: Volumen de un cilindro 2. El cono del silencio: Volumen de un cono 3. Operar en todas direcciones: Volumen de una esfera 4. Silos, yogur congelado y palomitas de maíz: Problemas de volumen con cilindros, conos y
esferasMateriales del estudiante
Lecciones para estudiantes
- Tabla de contenido
- Índice
- Glosario
- Lesson Video Library
- LiveHint™
Textbook Materials
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