- Course type: Self-paced
- Available Lessons: 20
- Average Lesson Length: 8 min
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Watch a preview:chapter 1 / lesson 1Evaluating Simple Algebraic Expressions
Course SummaryThis collection is filled with resources you can use to get your seventh graders proficient in the Common Core standards for math. Use these lessons and quizzes to teach your students about algebraic expressions and equations.
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2 chapters in Common Core Math Grade 7 - Expressions & Equations: Standards
Course Practice TestCheck your knowledge of this course with a 50-question practice test.
- Comprehensive test covering all topics
- Detailed video explanations for wrong answers
About the Course
Common Core standards have been developed to help ensure consistent educational goals for students no matter where they attend school. These standards define benchmarks in math and reading by grade level to give students the resources they need to succeed in later grades, college and careers. This collection is designed to help seventh grade students meet Common Core math standards for expressions and equations. Students can learn about algebraic expressions and equations through engaging video lessons on the following topics:
- Evaluating simple algebraic expressions
- Algebraic variables
- Commutative, associative and distributive properties of algebraic expressions
- Order of operations in distributing
- Distributing expressions with more than one term and with numbers and variables
- Combining like terms, simplifying and factoring in algebra
- Inverse operations
- Solving rational equations
- Writing and solving addition, subtraction, multiplication and division word problems with one variable
- Translating math sentences into inequalities
- Solving and graphing inequalities
Teachers can use the lessons in this collection to help explain these concepts to their students. The lessons break information down into small chunks that are easy for students to understand. With each lesson lasting less than ten minutes, it's easy to incorporate the lessons into existing lesson plans or assign them for additional homework. Each lesson also comes with a short quiz that can be used to assess students' understanding.
Properties of Operations (CCSS.MATH.CONTENT.7.EE.A.1)
Standard: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
The lessons for this standard teach students how to evaluate, solve, factor and expand linear algebraic expressions. Students also learn how to use the commutative, distributive and associative properties to perform operations.
Rewriting Expressions (CCSS.MATH.CONTENT.7.EE.A.2)
Standard: 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.'
In these lessons, students learn how to combine like terms in algebraic expressions and how to use the associative, commutative and distributive properties to rewrite expressions.
Multi-Step Equations and Word Problems With Numbers in Any Form (CCSS.MATH.CONTENT.7.EE.B.3)
Standard: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
Use these lessons to teach students about properties and orders of operations, combining like terms and simplifying algebraic expressions.
Variables, Simple Equations & Inequalities (CCSS.MATH.CONTENT.7.EE.B.4)
Standard: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
Our lessons help students understand how to use variables, translate math sentences into inequalities and write out equations to solve word problems with one variable.
Word Problems With Rational Numbers (CCSS.MATH.CONTENT.7.EE.B.4.A)
Standard: 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. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
In these lessons, students discover how to solve rational equations. They learn about writing and solving word problems using addition, subtraction, multiplication and division. They also look at strategies for translating math sentences to inequalities.
Solving and Graphing Inequalities (CCSS.MATH.CONTENT.7.EE.B.4.B)
Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.
Use these lessons to instruct students in changing math sentences into inequalities, solving one-step linear inequalities and graphing inequalities.
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