Unit 3- One Step Equations and inequalities
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Your child should be able to apply the following concepts in the attached document in this unit.
Unit 3 “I Can” Statements
I can use the addition and multiplication properties of equality to solve one-step linear equations. (EE.5)
I can solve problems by defining a variable, writing and solving an equation. (EE.6)
I can interpret the solution in the context of the original problem for equations and inequalities. (EE.6)
I can determine if an equation or inequality is appropriate for a given
situation. (EE.7)
I can solve mathematical and real-world problems with equations. (EE.7)
I can represent real-world situations as inequalities. (EE.5)
I can represent the solutions to inequalities on a number line. (EE.8)
IN THIS UNIT STUDENTS WILL:
- Determine if an equation or inequality is appropriate for a given situation.
- Represent and solve mathematical and real world problems with equations and inequalities.
- Interpret the solutions to equations and inequalities.
- Represent the solutions to inequalities on a number line.
- Analyze the relationship between dependent and independent variables through the use of tables, equations and graphs.
Beginning experiences in solving equations will require students to understand the meaning of the equation as well as the question being asked. The use of illustrations, drawings, and balance models to represent and solve equations and inequalities will help students to develop this understanding. Solving equations and inequalities will also require students to develop effective strategies such as fact families, and inverse operations. As effective strategies are developed students will revisit rate and proportional reasoning problems and solve them using strategies developed in solving similar one-step equations.
Students will represent, model and solve equations and inequalities that are based on mathematical and real world problems. Presented with these situations, students must determine if a single value is required as a solution or if the situation allows for multiple solutions will be included. This creates the need for both equations (single solution for the situation) and inequalities (multiple solutions for the situation). When working with inequalities, students will work with situations in which the solution is not limited to the set of positive whole numbers but includes positive rational numbers. As an extension to this concept, certain situations may require a solution between two numbers. Therefore, the exploration with students as to what this would look like both on a number line and symbolically will be explored.
The process of translating between mathematical phrases and symbolic notation is essential in the writing of equations/inequalities for a situation. This is a two-way process and students will be able to write a mathematical phrase for an equation.
The goal is to help students connect the pieces. This is done by having students use multiple representations for mathematical relationships. Students will translate freely among the story, words (mathematical phrases), models, tables, graphs and equations/inequalities. Given any one of these representations students should be able to develop the others.
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Solving one-step equations Worksheet
One-step Inequalities Cheat Sheet | Solving one-step inequalities Worksheet |
Equations and Inequalities (Math 7 Curriculum – Unit 3) | All Things Algebra®
DISTANCE LEARNING UPDATE: This unit now contains a Google document with:
(1) Links to instructional videos.
Videos are created by fellow teachers for their students using the guided notes from the unit. Please watch through first before sharing with your students. They might not always be perfect but we are trying our best to help
out where we can in a very limited time.
(2) A link to a Google Slides version of the unit.
Each page is set to the background in Google Slides. There are no text boxes; this is the PDF in Google Slides. We are unable to do text boxes at this time but hope this saves you a step if you wish to use it in Slides instead!
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This bundle includes notes, homework assignments, three quizzes, a study guide, and a unit test that cover the following topics:
• One-Step Equations with Addition and Subtraction
• One-Step Equations with Multiplication and Division
• One-Step Equations with Rational Numbers (Decimals and Fractions)
• Translating One-Step Equations
• One-Step Equation Word Problems
• Two-Step Equations
• Translating Two-Step Equations
• Two-Step Equations Word Problems
• Multi-Step Equations (Variables on One Side)
• Multi-Step Equations (Variables on Both Sides)
• Writing and Graphing Inequalities
• Solving One-Step Inequalities
• Solving Two-Step Inequalities
• Translating One- and Two-Step Inequalities
• One- and Two-Step Inequality Word Problems
NEW: Assessments are now EDITABLE! Now you can easily make multiple versions or customize to fit your needs! PowerPoint and Equation Editor (usually built in to PowerPoint) are required to edit these files. There is a folder titled "Editable Assessments" when you download. This is where you will find editable versions of each quiz and the unit test. If your Equation Editor is incompatible with mine, simply delete my equation and insert your own.
How does this unit compare to your Pre-Algebra Equations and Inequalities Unit? This unit is similar in that it contains similar topics. However, all material has been rewritten to ensure there is no duplication. The biggest differences between this Math 7 unit and Pre-Algebra Curriculum include no square roots equations, special solutions, multi-step equation word problems, or multi-step inequalities. The material is also presented at a slighter slower pace.
This resource is included in the following bundle(s):
Math 7 Curriculum
More Math 7 Units:
Unit 1 – Number Sense
Unit 2 – Expressions
Unit 4 – Ratios, Proportions, and Percents
Unit 5 – Functions and Graphing
Unit 6 – Geometry
Unit 7 – Measurement: Area and Volume
Unit 8 – Probability and Statistics
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