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To begin this module, students are introduced to important identities that will be useful in solving equations and developing proficiency with solving problems algebraically. In Topic A, students understand the relationships of operations and use them to generate equivalent expressions (
6.EE.A.3). By this time, students have had ample experience with the four operations since they have worked with them from kindergarten through Grade 5 (1.OA.B.3, 3.OA.B.5). The topic opens with the opportunity to clarify those relationships, providing students with the knowledge to build and evaluate identities that are important for solving equations. In this topic, students discover and work with the following identities: 𝑤−𝑥+𝑥=𝑤, 𝑤+𝑥−𝑥=𝑤, 𝑎÷𝑏 ∙𝑏=𝑎, 𝑎∙𝑏÷𝑏=𝑎 (when 𝑏≠0), and 3𝑥=𝑥+𝑥+𝑥. Students will also discover that if 12÷𝑥=4, then 12−𝑥−𝑥−𝑥−𝑥=0.
| Day |
Activity/Lesson |
Standard |
|
| Monday | Lesson 1: The Relationship of Addition and Subtraction. | Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 +3x; apply the distributive property to the expression 24x +18y to produce the equivalent expression 6(4x +3y); apply properties of operations to y+y+y to produce the equivalent expression 3y. | |
| Tuesday | Lesson 2: The Relationship of Multiplication and Division Assignment=Finish "Problem Set", "Exit Ticket", & "Round 1 of Division of Fractions" Due Wednesday | Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 +3x; apply the distributive property to the expression 24x +18y to produce the equivalent expression 6(4x +3y); apply properties of operations to y+y+y to produce the equivalent expression 3y. | |
| Wednesday | Lesson 3: The Relationship of Multiplication and Addition. | Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 +3x; apply the distributive property to the expression 24x +18y to produce the equivalent expression 6(4x +3y); apply properties of operations to y+y+y to produce the equivalent expression 3y. | |
| Thursday | Lesson 4: The Relationship of Division and Subtraction | Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 +3x; apply the distributive property to the expression 24x +18y to produce the equivalent expression 6(4x +3y); apply properties of operations to y+y+y to produce the equivalent expression 3y. | |
| Friday | Lesson 5: Exponents. Assign: Circled Problems |
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Spelling
| Day |
Activity/Lesson |
| Monday | No Spelling |
| Tuesday | Unit 3 Centers. Students should have unit 3 complete by Friday. Today they should have their 5th lesson complete. |
| Wednesday | No Spelling |
| Thursday | Unit 3 Centers. Today they should have their content vocabulary models complete. |
| Friday | Unit 3 Centers. Today students should have their review game complete for 3-5 people. |