Understand the meaning of the equal sign, and determine

if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 – 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.

Quarter 1

Quarter 2

Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false?

6 = 6, 7 = 8 – 1

Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false?

5 + 2 = 2 + 5, 4 + 1 = 5 + 2.

** Continue in quarters 3 and 4 through routines and classroom discussion.

Enduring Understanding

Mathematical operations are used in solving problems in which a new value is produced from one or more values.

Pan Balance

Algebraic thinking involves choosing, combining, and applying effective strategies for answering quantitavite questions.

Essential Questions

In what ways can operations affect numbers?

How can different strategies be helpful when solving a problem?

The equal sign in mathematics means that the quantity on the left hand side is the same as the quantity on the right hand side. Students need to understand that quantities can be represented in many different ways. This highlights the importance of students understanding that numbers can be decomposed into many different representations. Students need to see that 6 = 4 + 2, 6 = 5 + 1, etc. So when students are asked to make a statement such as 4 + 2 = 5 + ?,true, they have an understanding of the various representations of 6.

Rich Tasks for Multiple Means of Engagement, Expression, and Representation (UDL)

Communication
Emphasize the meaning of the equal sign as a balance. It is important for students to learn that both sides of the equal sign are equivalent. Write problems that have the answer to the left of the equal sign such as 8 = 3 + 5. Include problems that ask students to show number relationships.

Representation
Use a balance scale to demonstrate both sides of an equation as being equal.

For example, on one side of the scale, you could hang weights on 8 and 4. On the other side, hang a weight on 5. Ask what other number do you need on the side with the five to make your scale balance? 7
You have represented the equation below:
8 + 4 = ___ + 5

Problem Solving True or False?
Write several equations on the board such as: 5 + 3 = 7, 4 + 4 = 8, 6 - 3 = 3, 2 + 8 = 11. The students task is to decide which of the equations are true and which are false. As the school year progresses, try using more difficult equations such as 8 - 3 = 4 + 3.

Journal Prompts:

Draw two sets that are equal. Now draw two sets where one set is greater than the other. Explain your drawings.

Cassandra wrote 3 + 7 = 10 in her notebook. What does the "=" mean?

## Understand the meaning of the equal sign, and determine

## if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 – 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.

## Quarter 1

## Quarter 2

## Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false?

## 6 = 6, 7 = 8 – 1

## Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false?

## 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.

Enduring UnderstandingEssential Questions

Equal sign, equation, true equation, false equation, addition, subtractionVocabulary (online dictionary, HCPSS Vocabulary Cards)

The equal sign in mathematics means that the quantity on the left hand side is the same as the quantity on the right hand side. Students need to understand that quantities can be represented in many different ways. This highlights the importance of students understanding that numbers can be decomposed into many different representations. Students need to see that 6 = 4 + 2, 6 = 5 + 1, etc. So when students are asked to make a statement such as 4 + 2 = 5 + ?,true, they have an understanding of the various representations of 6.About the MathIllustrative Mathematics Example: Valid Equalities

## Rich Tasks for Multiple Means of Engagement, Expression, and Representation (UDL)

CommunicationEmphasize the meaning of the equal sign as a balance. It is important for students to learn that both sides of the equal sign are equivalent. Write problems that have the answer to the left of the equal sign such as 8 = 3 + 5. Include problems that ask students to show number relationships.

RepresentationUse a balance scale to demonstrate both sides of an equation as being equal.

For example, on one side of the scale, you could hang weights on 8 and 4. On the other side, hang a weight on 5. Ask what other number do you need on the side with the five to make your scale balance?

7You have represented the equation below:

8 + 4 = ___ + 5

Problem SolvingTrue or False?Write several equations on the board such as: 5 + 3 = 7, 4 + 4 = 8, 6 - 3 = 3, 2 + 8 = 11. The students task is to decide which of the equations are true and which are false. As the school year progresses, try using more difficult equations such as 8 - 3 = 4 + 3.

Journal Prompts:## Cassandra wrote 3 + 7 = 10 in her notebook. What does the "=" mean?

Print ResourcesGroundworks Algebraic Thinking Grade 1

(64-87)

Groundworks Algebraic Thinking (2),pages 40-47 (On the Level) (48-54)

SuperSource: Snap Cubes,

K-2 (70-73)

Read It! Draw It! Solve It! Grade 1

(140, 158, 160, 162)

Math Intervention: Building Number Power K-2

(111-121)

(T33-T41)

Web Resources:Games and CentersLessonsStudent ResourcesVideo SegmentsEqual Sums

True or False?

Making Ten (or Twenty)

Online Games

Number Balance

Calculation Balance

Addition: Sum Sense

Pan Balance

Online ActivityWhat number would complete this sentence?

Block Pounds

(Exemplary Lesson)

Breaking Numbers Apart

Balancing Act

Lesson Seeds

Understanding the Meaning of Symbols

(select "Learning Tips")

Illustrative Mathematics ProjectValid Equalities

(Erin Reisberg, Centennial Lane)

## Questions/Comments:

Contact John SanGiovanni at jsangiovanni@hcpss.org.Use and Sharing of HCPSS Website and Resources:Howard County Public Schools Office of Elementary Mathematics Curricular Projects has licensed this product under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.