This complete two-week unit contains equations that can be solved via addition, subtraction, multiplication, and division as well as word problems that can be addressed via two step equations. Through an Oath of Algebraic Equations
, a series of unique and captivating guided notes (with Ned!
), and a collection of well-thought-through worksheets, it ensures that a student’s first encounter with two step algebraic equations will be both fun and engaging!
There is no denying it .. after their initial introduction to algebraic equations, students will use such equations for years to come as they make their way through the remainder of their mathematics courses. There is also no denying that their first encounter with algebraic equations will likely set the tone for their feelings about algebra in general
. It is essential, therefore, that this introduction be a valuable one, that the students emerge from this introduction with a feeling that algebraic equations are both fun and useful, that they see them as a potentially easier way to solve mathematical problems, and that they look forward to moving into more complicated equations as their study of algebra continues both this year and in future years.
Equations With Ned – Complete Two-Step Equations Unit
attempts to achieve exactly these goals through a combination of warm-up problems, an “Oath of Algebraic Equations”, guided notes with “Ned”, equation terminology puzzles, and carefully orchestrated worksheets. NOTE: This product addresses solving two-step, positive number (with fractions and decimals) equations only! It is a follow-on product to Equations With Ned – Introduction to Solving One-Step Equations, but can be used to address two-step equations independently.
There are three ways to purchase the Equations with Ned products:
1. If you wish to focus on ONE-STEP
equations only, purchase Equations With Ned – Introduction to Solving One-Step Equations
, which focuses on one-step, positive number equations with all operations, including those with fractions and decimals, and one-step equation word problems.
2. If you wish to focus on TWO-STEP
equations only or if you have already purchased Equations With Ned – Introduction to Solving One-Step Equations
and wish to move on to two-step equations, purchase THIS PRODUCT, Equations With Ned – Complete Two-Step Equations Unit
, which focuses on two-step, positive number equations with all operations, including those with fractions and decimals, mastering equation terminology, and two-step equation word problems. It also includes a comprehensive unit assessment on all of this material.
3. If you would like to focus on ONE-STEP AND TWO-STEP
equations, purchase Equations With Ned – Complete One and Two-Step Equations Unit
. This three-week unit (a 120-page product) consists of all the materials in the one and two-step products, and is sold at a discounted price.
The sequence of the items in THIS PRODUCT (Equations With Ned – Complete Two-Step Equations Unit)
is as follows:
1. On the first day
students complete a warm-up page (which reviews previous concepts and gets the students thinking about the next step in their discovery of equations), recite the Oath of Algebraic Equations (which serves a dual purpose, as they enthusiastically pledge their allegiance to the algebraic process and are also introduced or re-introduced to the key terminology associated with algebraic equations), and are then introduced to solving two-step equations using the algebraic method by Ned and His Scale. They observe Ned and his clone standing on one side of an old-fashioned balance scale with 11 pounds next to them and a large amount of weight on the other side of the scale. The teacher asks a series of questions regarding the scale, the fact that it is in balance, what we would need to do to keep the scale in balance if we removed the weights that are sitting on Ned’s side of the scale, then removed Ned’s clone, etc. As this discussion proceeds, Ned is assigned the variable “n” and the situation is solved both by an algebraic equation and by manipulating the weights simultaneously. The students take notes on the scale and the equation while the teacher ensures that all of the vocabulary words in the Oath of Algebraic Equations are addressed in the process. Students remain engaged as they help determine Ned’s weight and emerge with a keen understanding of the process to solve an algebraic equation that involves both multiplication and addition. From here, students move to guided practice and then independent practice, solving two-step equations that involve multiplication through a well-thought-out worksheet that presents these problems in different formats.
2. On the second day
the above process repeats itself for equations that involve division. The day again includes a warm-up, the Oath of Algebraic Equations, the “Ned” notes, and a comprehensive worksheet.
3. The third day
is completely focused on mastering equation-related vocabulary, as the students go through a quick review of the various pieces of expressions and equations and then complete two Equation Terminology Puzzles. Note that this terminology is reviewed and reemphasized through the remainder of the unit.
4. On the fourth day
the students are introduced to word problems that can be solved using two step equations. Through a warm-up activity, a guided notes page, and a two-page worksheet, they become experts at setting up, solving, and checking two-step equations to address word problems with positive whole numbers.
5. On the fifth day
the students attack two-step problems that include fractions and decimals. Through a warm-up activity, the students are taught how to tackle these types of problems. They then receive plenty of practice via a two-page worksheet.
6. The sixth day
again shifts to word problems, now focusing on two-step word problems that include fractions and decimals. Through a warm-up activity, a guided notes page, and a carefully-orchestrated worksheet, students become experts at solving these type of problems using two-step equations.
7. The seventh day
is reserved for teacher review of all materials in this unit. Equations, terminology, and solving word problems should all be emphasized in this review.
8. The eighth day
consists of a comprehensive unit assessment. This test involves one-step equations (with whole numbers and with fractions and decimals), two-step equations (with whole numbers and fractions and decimals), equation terminology, and one and two-step word problems. It is conveniently broken out by topic so that the teacher can choose have the students skip over any sections if the teacher chose not to address these during the unit.
All of this adds up to a fun and meaningful way to begin to explore algebraic equations. If you would like your students to have an introduction to algebraic equations that they will talk about enthusiastically in the hallways, this is the product for you!
NOTE 1: If you would like your students to have a solid understanding of Algebraic Expressions
before attacking Algebraic Equations, please take a look at Express Yourself, the Complete Unit
, which is a comprehensive unit on Algebraic Expressions. Many teachers will choose to do the unit on Algebraic Expressions prior to tackling Equations with Ned
NOTE 2: All equations in this unit involve positive
whole numbers and positive
fractions and decimals only. At this level of introduction to equations, there are no negative numbers in the equations.
Good luck in your use of Equations with Ned! - An Introduction to Two Step EquationsRelated Products:
Feel free to check out a growing number of other products that use poetry, songs, games, worksheets, and assessments to make math fun and help students to learn a variety of common core math standards.
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