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Math, Grade 7, Unit 0
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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.

Subject:
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Material Type:
Unit of Study
Provider:
Pearson
Effect of Proportionality Constant on Exponential Graph (k>0)
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This classroom activity presents College Algebra students with a ConcepTest and a ...

This classroom activity presents College Algebra students with a ConcepTest and a Question of the Day activity concerning the effect of the proportionality constant, k, on the y-intercept and position of an exponential graph where k>0 and C is an arbitrarily fixed value in f(x)=Ce^(kx).

Subject:
Education
Mathematics
Algebra
Material Type:
Activity/Lab
Assessment
Teaching/Learning Strategy
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Pedagogy in Action
Starting Point (SERC)
Author:
James J. Rutledge
Effect of Coefficient of x on Parabola Vertex (b>0)
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This classroom activity presents College Algebra students with a ConcepTest, a Question ...

This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x on the vertex of a parabola where a>0, b>0 and a and c are fixed values in f(x)=ax^2+bx+c.

Subject:
Education
Mathematics
Material Type:
Activity/Lab
Assessment
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Pedagogy in Action
Starting Point (SERC)
Author:
James J. Rutledge
Effect of Initial Value on Graph of Exponential Function (C>0)
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This classroom activity presents College Algebra students with a ConcepTest and a ...

This classroom activity presents College Algebra students with a ConcepTest and a Question of the Day activity concerning the effect of the initial value, C, on the y-intercept and position of an exponential function where C>0 and k is an arbitrarily fixed value in f(x)=Ce^(kx).

Subject:
Education
Mathematics
Algebra
Material Type:
Activity/Lab
Assessment
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Pedagogy in Action
Starting Point (SERC)
Author:
James J. Rutledge
Math, Grade 6, Unit 0, Lesson 6
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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
Math, Grade 6, Unit 0
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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.

Subject:
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Material Type:
Unit of Study
Provider:
Pearson
Math, Grade 6, Unit 0, Lesson 2
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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

Subject:
Algebra
Provider:
Pearson
Math, Grade 7, Unit 0, Lesson 2
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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
Math, Grade 6, Unit 0, Lesson 4
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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

Subject:
Algebra
Provider:
Pearson
Effect of Coefficient of x^2 on Parabola Vertex (a>0)
Conditions of Use:
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This classroom activity presents College Algebra students with a ConcepTest, a Question ...

This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x^2 on the vertex of a parabola where a>0, b>0 and b and c are fixed values in f(x)=ax^2+bx+c.

Subject:
Education
Mathematics
Material Type:
Activity/Lab
Assessment
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Pedagogy in Action
Starting Point (SERC)
Author:
James J. Rutledge
Effect of Proportionality Constant on Exponential Graph (k < 0)
Conditions of Use:
Remix and Share
Rating

This classroom activity presents College Algebra students with a ConcepTest and a ...

This classroom activity presents College Algebra students with a ConcepTest and a Question of the Day activity concerning the effect of the proportionality constant, k, on the y-intercept and position of an exponential graph where k<0 and C is an arbitrarily fixed value in f(x)=Ce^(kx).

Subject:
Education
Mathematics
Material Type:
Activity/Lab
Assessment
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Pedagogy in Action
Starting Point (SERC)
Author:
James J. Rutledge
Math, Grade 6, Unit 0, Lesson 3
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

Subject:
Algebra
Provider:
Pearson
Chance and Strategy: 0 to 1 Math Testing Probability Exercise
Conditions of Use:
No Strings Attached
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This document tests use of non-breaking spaces, and super and subscripts set ...

This document tests use of non-breaking spaces, and super and subscripts set in Word. In this activity, students work with probabilities expressed as fractions, percentages, and decimals.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Rice University
Provider Set:
Connexions
Author:
Angela Chen