These ELOs need to be taught in sequential order!
7.EE.1, 7.EE.2, 7.EE.3, and 7.EE.4, expressions and equations, build on skills developed in compelling question 3. These skills are foundational for 8th grade math and Algebra courses. Algebraic reasoning skills are applied in later discussion of geometry, probability, and statistics found in compelling questions 7, 8 and 9.
PACING = 2 weeks
∎ Students will be able to reason abstractly regarding properties and equivalent expressions. (7.EE.1) (MP.2, MP.3)
∎ Students will be able to use appropriate vocabulary, correctly define variables, and check the reasonableness of their solutions. (7.EE.1, 7.EE.2) (MP.6)
I can combine like terms with rational coefficients. (7.EE.1)
I can expand linear expressions with rational coefficients using the distributive property. (7.EE.1)
I can apply properties of operations as strategies to add, subtract, factor, or expand linear expressions with rational coefficients. (7.EE.1)
I can create an equivalent mathematical expression when given an expression by using the distributive property or other properties of operations. (7.EE.1)
I can define vocabulary words used to talk about expressions and equations. (7.EE.1)
I can assess the reasonableness of answers using mental computation and estimation strategies. (7.EE.1)
∎ Students will be able to model their understanding of equivalent expressions using appropriate tools. (7.EE.2) (MP.4, MP.5)
∎ Students will be able to use appropriate vocabulary, correctly define variables, and check the reasonableness of their solutions. (7.EE.1, 7.EE.2) (MP.6)
I can identify equivalent expressions when given two or more expressions. (7.EE.2)
I can write equivalent expressions. (7.EE.2)
I can explain how quantities are related in a problem context. (7.EE.2)
I can translate a real world situation into an algebraic expression involving rational numbers. (7.EE.2)
I can communicate using appropriate vocabulary when writing and simplifying expressions and equations. (7.EE.2)
∎ Students will be able to explain, analyze, estimate, and plan a method for solving a problem involving algebraic expressions and equations, using appropriate tools. (7.EE.3) (MP.1, MP.2, MP.3, MP.5, MP.7)
∎ Students will solve multi-step, real-world problems involving rational numbers. (7.EE.3)
I can convert between numerical forms as appropriate in a real-world problem. (7.EE.3)
I can apply properties of operations to calculate with numbers in any form to solve a real-world problem. (7.EE.3)
I can plan and explain a method for solving a problem using algebraic expressions or equations involving rational numbers. (7.EE.3)
I can estimate a solution for an algebraic expression or equation involving rational numbers. (7.EE.3)
I can solve multi-step real-world mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. (7.EE.3)
I can compare an algebraic solution to an arithmetic solution by identifying the sequence of the operations used in each approach. (7.EE.3)
∎ Students will be able to reason abstractly using variables to represent unknown quantities in a real-world problem looking for similarities between related problems. (7.EE.4) (MP.2, MP.7)
I can write and solve equations using known and unknown values in real-world situations. (7.EE.4.a)
I can write and solve inequalities using known and unknown values. (7.EE.4.b)
I can interpret equations using known and unknown values. (7.EE.4.a)
I can interpret inequalities using known and unknown values. (7.EE.4.b)
I can translate a real world situation into an inequality involving rational numbers. (7.EE.4.b)
I can identify the sequence of operations used to solve an algebraic equation of the form px + q = r and p(x + q) = r. (7.EE.4.a)
I can solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. (7.EE.4.a)
I can represent the solution of an inequality graphically and algebraically. (7.EE.4.b)
∎ Major Content ⊡ Supporting Content 🌕 Additional Content
New Vocab: factor, Monomial
Review Vocab: equivalent expressions, factor, like terms, rational number, term, expression, linear expression, equation, expression, unknown, coefficient, product, variable, inequality, solution of an inequality, Additive Identity Property, Algebraic Expression, Arithmetic Sequence, Associative Property, Commutative Property, Distributive Property, Multiplicative Identity Property, Multiplicative Property of Zero, Addition/Subtraction, Multiplication/Division Property of Equality & Property of Inequality, constant, counterexample, Simplest Form
Academic Vocab: determine, explain, modify, sketch, balance, reason, reasoning, represent, consider, interpret
*The computational strategies that you practice during number talks does NOT have to align with the core math content. Number talks are meant to practice fluency strategies, not teach new content.
I can combine like terms with rational coefficients. (7.EE.1)
I can expand linear expressions with rational coefficients using the distributive property. (7.EE.1)
I can apply properties of operations as strategies to add, subtract, factor, or expand linear expressions with rational coefficients. (7.EE.1)
I can create an equivalent mathematical expression when given an expression by using the distributive property or other properties of operations. (7.EE.1)
I can define vocabulary words used to talk about expressions and equations. (7.EE.1)
I can assess the reasonableness of answers using mental computation and estimation strategies. (7.EE.1)
Ready Teacher Toolbox Lesson 15: Write Equivalent Expressions Involving Rational Numbers-Sessions 1-4
Assessment Tasks UPDATED 7th gr assessments 7.EE.1 Proficiency Rubrics 7.EE.1 IAR sample questions 7.EE.1
Prior knowledge/Just in Time support & Enrichment RTTB Lesson 15: Find Your Way Out
Nearpod Math lessons Open Middle tasks
Interactive manipulatives
I can identify equivalent expressions when given two or more expressions. (7.EE.2)
I can write equivalent expressions. (7.EE.2)
I can explain how quantities are related in a problem context. (7.EE.2)
I can translate a real world situation into an algebraic expression involving rational numbers. (7.EE.2)
I can communicate using appropriate vocabulary when writing and simplifying expressions and equations. (7.EE.2)
Ready Teacher Toolbox Lesson 16: Understand Reasons for Rewriting Expressions-Sessions 1-3
Assessment Tasks UPDATED 7th gr assessments 7.EE.2 Proficiency Rubrics 7.EE.2 IAR sample questions 7.EE.2
Prior knowledge/Just in Time support & Enrichment RTTB Lesson 16: Design a Restaurant
Nearpod Math lessons Open Middle tasks
Interactive manipulatives
“Closure in a lesson does not mean to pack up and move on. Rather, it is a cognitive activity that helps students focus on what was learned and whether it made sense and had meaning.” How the Brain Learns Mathematics (2007) P. 104
There are many ways to wrap up and reflect the day's activities but this step is often overlooked or rushed. Purposely plan and allow time for students to have closure each day (even if it means setting a timer or daily alarm so you don't run out of time).
Ideas for closure activities