Seventh Grade Mathematics Standards: Expressions and Equations AK Grade-Level Clusters AK-DLM Instructional Examples Essential Elements of operations as strategies difference. Use properties of to demonstrate that operations to generate Students will: expressions are equivalent expressions. EE7.EE.1-2. Apply the commutative property to complete an equation. equivalent. Ex. Given 12 objects and an equation with three groups on one side of the EE.7.EE.2 Identify an 7.EE.1. Apply properties of equals sign and two groups on other side, create a balanced equation by arithmetic sequence of operations as strategies to recognizing that the side with three groups will have two objects in each whole numbers with a group, and the side with two groups will have three objects in each group. whole number common EE7.EE.1. Use the properties add, subtract, factor, and Ex. 5 x 7 = x (7 x 5) expand linear expressions Ex. + = 4 + 8 (8 + 4) with rational coefficients. will: 7.EE.2. Understand that EE7.EE.1-2. Use the relationship within addition and/or multiplication to rewriting an expression in illustrate that two expressions are equivalent. different forms in a Ex. 4 + 7 = 7 + problem context can shed Ex. 2 x 4 = x 2 light on the problem and Ex. 3 + = 5 + 3 how the quantities in it are related. For example, a + Students will: 0.05a = 1.05a means that EE7.EE.1-2. Use the relationship within addition to illustrate that two “increase by 5%” is the expressions are equivalent. same as “multiply by 1.05.” Ex. Given a model showing five objects plus two objects on one side of an equals sign and two objects on the other side, recognize that five objects are needed to get the same amount. Ex. Is 2 + 3 = to 3 + 2? Answer yes/no. Ex. Is 2 + 3 = to 4 + 2? Answer yes/no. Students will: EE7.EE.1-2. Understand that different displays of the same quantity are equal. Ex. Recognize that three discs and three squares are the same quantity. Ex. Recognize that different arrangements of the same amount are equal
Seventh Grade Mathematics Standards: Expressions and Equations AK Grade-Level Clusters AK-DLM Essential Elements Instructional Examples Use properties of operations to generate equivalent expressions. 7.EE.1. Apply properties of operations as strategies to EE7.EE.1. Use the properties of operations as strategies to demonstrate that expressions are equivalent. EE.7.EE.2 Identify an arithmetic sequence of whole numbers with a whole number common difference. Students will: EE7.EE.1-2. Apply the commutative property to complete an equation. Ex. Given 12 objects and an equation with three groups on one side of the equals sign and two groups on other side, create a balanced equation by recognizing that the side with three groups will have two objects in each group, and the side with two groups will have three objects in each group. add, subtract, factor, and Ex. 5 x 7 = x (7 x 5) expand linear expressions with rational coefficients. Ex. + = 4 + 8 (8 + 4) 7.EE.2. Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.” will: EE7.EE.1-2. Use the relationship within addition and/or multiplication to illustrate that two expressions are equivalent. Ex. 4 + 7 = 7 + Ex. 2 x 4 = x 2 Ex. 3 + = 5 + 3 Students will: EE7.EE.1-2. Use the relationship within addition to illustrate that two expressions are equivalent. Ex. Given a model showing five objects plus two objects on one side of an equals sign and two objects on the other side, recognize that five objects are needed to get the same amount. Ex. Is 2 + 3 = to 3 + 2? Answer yes/no. Ex. Is 2 + 3 = to 4 + 2? Answer yes/no. Students will: EE7.EE.1-2. Understand that different displays of the same quantity are equal. Ex. Recognize that three discs and three squares are the same quantity. Ex. Recognize that different arrangements of the same amount are equal
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