Unit Circle between 0 and 90 degrees

- Subject:
- Geometry
- Material Type:
- Simulation
- Provider:
- GeoGebra
- Provider Set:
- GeoGebraTube

Conditions of Use:

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Unit Circle between 0 and 90 degrees

- Subject:
- Geometry
- Material Type:
- Simulation
- Provider:
- GeoGebra
- Provider Set:
- GeoGebraTube

Conditions of Use:

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This 6-minute video lesson looks at approximating f(x)=cos x using a Maclauren ...

This 6-minute video lesson looks at approximating f(x)=cos x using a Maclauren Series (special case of a Taylor series at x=0).

- Subject:
- Calculus
- Material Type:
- Lecture
- Provider:
- Khan Academy
- Provider Set:
- Khan Academy
- Author:
- Khan, Salman

Conditions of Use:

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Gallery Overview Allow students who have a clear understanding of the content ...

Gallery Overview

Allow students who have a clear understanding of the content thus far in the unit to work on Gallery problems of their choosing. You can then use this time to provide additional help to students who need review of the unit's concepts or to assist students who may have fallen behind on work.

Gallery Description

Represent a Math Problem: Students explore the number line tool and the double number line tool. They use the number line tool to solve a problem about the weights of a cheetah and a fisher cat.

Research Expressions: Students learn the difference between numerical expressions and variable expressions. They watch video tutorials, review worked examples, use the Glossary, and explore other resources.

Fish Tank: Students create diagrams and use text and images as they solve a problem about the size of a fish tank.

- Subject:
- Numbers and Operations
- Provider:
- Pearson

Conditions of Use:

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Getting Started Type of Unit: Introduction Prior Knowledge Students should be able ...

Getting Started

Type of Unit: Introduction

Prior Knowledge

Students should be able to:

Understand ratio concepts and use ratios.

Use ratio and rate reasoning to solve real-world problems.

Identify and use the multiplication property of equality.

Lesson Flow

This unit introduces students to the routines that build a successful classroom math community, and it introduces the basic features of the digital course that students will use throughout the year.

An introductory card sort activity matches students with their partner for the week. Then over the course of the week, students learn about the routines of Opening, Work Time, Ways of Thinking, Apply the Learning (some lessons), Summary of the Math, Reflection, and Exercises. Students learn how to present their work to the class, the importance of students’ taking responsibility for their own learning, and how to effectively participate in the classroom math community.

Students then work on Gallery problems, to further explore the resources and tools and to learn how to organize their work.

The mathematical work of the unit focuses on ratios and rates, including card sort activities in which students identify equivalent ratios and match different representations of an equivalent ratio. Students use the multiplication property of equality to justify solutions to real-world ratio problems.

Conditions of Use:

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Summary With the help of this activity, we have learnt that: Coordinates ...

Summary With the help of this activity, we have learnt that: Coordinates of center of the circle are always (-g,-f). Radius of circle is always equal to ?(g^2+f^2-c).

- Subject:
- Geometry
- Material Type:
- Simulation
- Provider:
- GeoGebra
- Provider Set:
- GeoGebraTube

Conditions of Use:

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This lesson uses a number line to introduce the Identify Property of ...

This lesson uses a number line to introduce the Identify Property of Zero.

- Subject:
- Algebra
- Material Type:
- Lecture
- Provider:
- Khan Academy
- Provider Set:
- Khan Academy
- Author:
- Khan, Salman

Conditions of Use:

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This 7-minute video lesson examines the Sine Taylor Series at 0 (Maclaurin).

- Subject:
- Calculus
- Material Type:
- Lecture
- Provider:
- Khan Academy
- Provider Set:
- Khan Academy
- Author:
- Khan, Salman

Conditions of Use:

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Students discuss classroom routines and expectations, work with partners to present their ...

Students discuss classroom routines and expectations, work with partners to present their work matching different representations of a ratio situation, and then prepare math summaries.

Introduce classroom routines and expectations prior to the full mathematics lesson. Ask students to discuss how to clearly present their work to their classmates. Model an example of partner work, and then have students work with their partners to match different representations of a ratio situation. Read and discuss a Summary of the Math, and then have students write Reflections about their wonderings.

Key Concepts

Students match a data card with its corresponding ratio, decimal, fraction, percent, and description of the relationship in words. Students construct viable arguments for their matches and critique the reasoning of their partner and other classmates.

Goals and Learning Objectives

Describe the classroom routines and expectations

Consider how to present work clearly to classmates

Collaborate with a partner

Critique a partner’s reasoning

Connect different representations of a ratio situation

- Subject:
- Ratios and Proportions
- Provider:
- Pearson

Conditions of Use:

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Students are introduced to classroom routines and expectations, and complete a full ...

Students are introduced to classroom routines and expectations, and complete a full mathematics lesson. The class discusses how to clearly present work to classmates. Partner work is modeled, and partners then work to match numerical expressions to corresponding word descriptions. Students read and discuss a summary of the math in the lesson, and then write a reflection about their thoughts.

Key Concepts

Students match a numerical expression to its corresponding description in words. Students interpret parentheses and brackets in numerical expressions and they construct viable arguments and critique the reasoning of others. Students learn to use the exponent 2 to represent squaring.

Goals and Learning Objectives

Describe the classroom routines and expectations

Consider how to present work clearly to classmates

Collaborate with a partner

Critique a partner’s reasoning

Connect a numerical expression to its corresponding word description

Learn to use an exponent of 2 to represent squaring

Conditions of Use:

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Students discuss as a class the important ways that listeners contribute to ...

Students discuss as a class the important ways that listeners contribute to mathematical discussions during Ways of Thinking presentations. Students then use the properties of operations to find the value of each fruit used in equations.

Key Concepts

Students use the properties of operations to find the value of each fruit used in different equations. By considering several equations, students can match each of the 10 fruits to the whole numbers 0 through 9. This work helps students see why representing unknown numbers with letters is useful.

Goals and Learning Objectives

Contribute as listeners during the Ways of Thinking discussion

Identify the whole numbers that make an equation true

Use the properties of operations, when appropriate, to justify which whole numbers represent unknown values

Conditions of Use:

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- Subject:
- Geometry
- Material Type:
- Simulation
- Provider:
- GeoGebra
- Provider Set:
- GeoGebraTube

Conditions of Use:

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Summary With the help of this activity, we have learnt that: The ...

Summary With the help of this activity, we have learnt that: The slope of the Lines changes as we change the values of a and b. The y-intercept of the Lines changes as we change the value of c. When we compare the equation of

- Subject:
- Geometry
- Material Type:
- Simulation
- Provider:
- GeoGebra
- Provider Set:
- GeoGebraTube

Conditions of Use:

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Getting Started Type of Unit: Introduction Prior Knowledge Students should be able ...

Getting Started

Type of Unit: Introduction

Prior Knowledge

Students should be able to:

Solve and write numerical equations for whole number addition, subtraction, multiplication, and division problems.

Use parentheses to evaluate numerical expressions.

Identify and use the properties of operations.

Lesson Flow

In this unit, students are introduced to the rituals and routines that build a successful classroom math community and they are introduced to the basic features of the digital course that they will use throughout the year.

An introductory card sort activity matches students with their partner for the week. Then over the course of the week, students learn about the lesson routines: Opening, Work Time, Ways of Thinking, Apply the Learning, Summary of the Math, and Reflection. Students learn how to present their work to the class, the importance of taking responsibility for their own learning, and how to effectively participate in the classroom math community.

Students then work on Gallery problems to further explore the program’s technology resources and tools and learn how to organize their work.

The mathematical work of the unit focuses on numerical expressions, including card sort activities in which students identify equivalent expressions and match an expression card to a word card that describes its meaning. Students use the properties of operations to identify equivalent expressions and to find unknown values in equations.

Conditions of Use:

Read the Fine Print

Data set and map pertaining to labor force participation rates for men ...

Data set and map pertaining to labor force participation rates for men in all countries. The World Bank specifies male labor force participation as a World Development Indicator (WDI) -- the statistical benchmark that helps measure the progress of development.

- Material Type:
- Data Set
- Diagram/Illustration
- Provider:
- TeachingWithData.org
- Provider Set:
- TeachingWithData.org
- Author:
- https://spreadsheets.google.com/ccc?key=0AgBD2_ij1iPsdEUtMDFQMElEMWRWQTQ4a3d3ZEhkZUE&hl=en#gid=0

Conditions of Use:

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This 6-minute video lesson looks at the Taylor Series at 0 (Maclaurin) ...

This 6-minute video lesson looks at the Taylor Series at 0 (Maclaurin) for e to the x.

- Subject:
- Calculus
- Material Type:
- Lecture
- Provider:
- Khan Academy
- Provider Set:
- Khan Academy
- Author:
- Khan, Salman

Conditions of Use:

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Allow students who have a clear understanding of the content thus far ...

Allow students who have a clear understanding of the content thus far in the unit to work on Gallery problems of their choosing. You can then use this time to provide additional help to students who need review of the unit's concepts or to assist students who may have fallen behind on work.

Gallery Overview

Represent a Math Problem

Explore ways to represent math problems—make an equation using a Double Number Line, a Ratio Table, and a Tape Diagram. Then solve a problem comparing the prices of different types of nails using one of the representations.

Research Ratios and Rates

Research how ratios and rates are related to proportional relationships. Watch the video tutorials and explore the other resources.

Louisiana Purchase

Solve a problem about the Louisiana Purchase.

- Subject:
- Mathematics
- Provider:
- Pearson

Conditions of Use:

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The class reviews the properties of operations. The use of “ask myself” ...

The class reviews the properties of operations. The use of “ask myself” questions to make sense of problems and persevere is modeled. Students review things to do when they feel stuck on a problem. Finally, students use the properties of operations to evaluate expressions.

Content Standards

Key Concepts

Students use the properties of operations to justify whether two expressions are equivalent.

Goals and Learning Objectives

To start to work on a problem, make sense of the problem by using “ask myself” questions

Persevere in solving a problem even when feeling stuck

Use the properties of operations to evaluate expressions

Conditions of Use:

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Students review the ways classroom habits and routines can strengthen their mathematical ...

Students review the ways classroom habits and routines can strengthen their mathematical character. Students learn what a Gallery is and how to choose a Gallery problem to work on. They then choose one of three Gallery problems that introduce the unit’s technology resources. The three Gallery problems combine working with expressions with the resources available with this unit.

Key Concepts

Understand that a Gallery gives students a choice of several problems. Understand what to consider when choosing a problem. Know how to work on a Gallery problem and how to present work on gallery problems.

Goals and Learning Objectives

Know how to choose a problem from a Gallery

- Subject:
- Mathematics
- Provider:
- Pearson

Conditions of Use:

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This is designed to simulate students playing with base ten blocks. You ...

This is designed to simulate students playing with base ten blocks. You give a student a number between 0 and 99, and the student has to come up with the correct number of ten blocks and unit blocks. With this sketch, the student moves the s

- Subject:
- Geometry
- Material Type:
- Simulation
- Provider:
- GeoGebra
- Provider Set:
- GeoGebraTube

Conditions of Use:

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Lesson Overview Students use ratio cards to find equivalencies and form partnerships ...

Lesson Overview

Students use ratio cards to find equivalencies and form partnerships for the week. As a class, students discuss and decide on classroom norms.

Give each student a ratio card. Instruct students to find a classmate whose card has a ratio that is equivalent to theirs. Classmates with equivalent ratios are now partners for the week. With the class, discuss and decide on classroom norms, or rules. Tell students how to access the application they will use this year.

Key Concepts

Students understand that ratio relationships are multiplicative. They use ratio tables to show ratio relationships.

Goals and Learning Objectives

Distinguish between ratio tables and tables that do no show equivalent ratios

Understand how ratio tables are used to solve ratio problems

Use the basic features of the application

Create and understand the classroom norms

Use mathematical reasoning to justify an answer

- Subject:
- Ratios and Proportions
- Provider:
- Pearson