Curriculum / Math / 6th Grade / Unit 6: Equations and Inequalities / Lesson 4
Math
Unit 6
6th Grade
Lesson 4 of 14
Jump To
Solve one-step equations with addition and subtraction.
The core standards covered in this lesson
6.EE.B.6 — Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
6.EE.B.7 — Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
The foundational standards covered in this lesson
5.NF.A.1 — Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)
6.NS.B.3 — Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Students first solve equations by using diagrams; they then generalize their actions to solve equations algebraically without diagrams. Though some students may find they can mentally solve these equations, encourage students to organize and show their thinking algebraically. This will support them later as the equations become more and more complex.
Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.
Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
The following three diagrams represent the equation $${x+2=6}$$. Explain how you can use each one to find the value of $$x$$.
How can you solve the equation $${m+3.6=9.2}$$ without using a diagram?
Draw a tape diagram to represent the equation $${d-5=7}$$; then use it to find the value of $$d$$.
How can you solve the equation $${p-{3\over4}=8}$$ without using a diagram?
Grade 6 Mathematics > Module 4 > Topic G > Lesson 26 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
At the grocery store, Martin uses some coupons and saves $5.75 off his total bill. His new bill comes to $21.36. Let $$x$$ represent the amount of Martin’s grocery bill before using the coupons.
Write and solve an equation to find the amount of Martin’s bill before using the coupons.
A set of suggested resources or problem types that teachers can turn into a problem set
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
Solve the equations. Show or explain your thinking.
a. $${w+1.5=8.75}$$
b. $${z-12=9}$$
A large bowl holds $${5{2\over3}}$$ cups of punch. Some more punch is added to the bowl to make a total of 10 cups of punch. Let $$c$$ represent the number of cups of punch that are added to the bowl.
Write and solve an equation to find the number of cups of punch that are added to the bowl.
Lesson 3
Lesson 5
Topic A: Reasoning About and Solving Equations
Represent equations in the form $${ x+p=q }$$ and $${px=q}$$ using tape diagrams and balances.
6.EE.B.6 6.EE.B.7
Define and identify solutions to equations.
6.EE.B.5
Write equations for real-world situations.
Solve one-step equations with multiplication and division.
Solve percent problems using equations.
6.EE.B.7 6.RP.A.3.C
Solve multi-part equations leading to the form $${x+p=q }$$ and $${px=q}$$.
Create a free account to access thousands of lesson plans.
Already have an account? Sign In
Topic B: Reasoning About and Solving Inequalities
Define and identify solutions to inequalities.
6.EE.B.5 6.EE.B.8
Write and graph inequalities for real-world conditions. (Part 1)
6.EE.B.8
Write and graph inequalities for real-world conditions. (Part 2)
Solve one-step inequalities.
6.EE.B.6 6.EE.B.8
Topic C: Representing and Analyzing Quantitative Relationships
Write equations for and graph ratio situations. Define independent and dependent variables.
6.EE.C.9 6.RP.A.3.A
Represent the relationship between two quantities in graphs, equations, and tables. (Part 1)
Represent the relationship between two quantities in graphs, equations, and tables. (Part 2)