Curriculum / Math / 6th Grade / Unit 5: Numerical and Algebraic Expressions / Lesson 4
Math
Unit 5
6th Grade
Lesson 4 of 12
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Lesson Notes
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Evaluate algebraic expressions.
The core standards covered in this lesson
6.EE.A.2 — Write, read, and evaluate expressions in which letters stand for numbers.
6.EE.A.2.C — Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s³ and A = 6 s² to find the volume and surface area of a cube with sides of length s = 1/2.
The foundational standards covered in this lesson
5.MD.C.5.B — Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
In regard to pacing, this lesson may be extended over two days to ensure students have adequate time to practice.Â
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
A square prism is shown below.
The formula $${ V=s^2 h}$$ can be used to find the volume of the square prism. What is the volume of the prism when the side length of the base measures $${1.5}$$ inches and the height measures $$8$$ inches?
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Kia is wrapping a box in the shape of a rectangular prism. Each side of the box will be covered with wrapping paper. The total area of all of the sides of the box is called the surface area and can be found using the formula $${ S=2(lw+wh+lh)}$$, where $$l$$ refers to length, $$w$$ refers to width, and $$h$$ refers to height of the box.
The box that Kia is wrapping is shown below. What is the surface area of the box?
Evaluate the algebraic expressions for the given values of the variables.
a. $${Â x^3+18y^2}$$, where $$x$$ is $${{1\over2}}$$ and $$y$$ is $${{1\over3}}$$
b. $$2(x^2-1)+4y$$, where $$x$$ is $$6$$ and $$y$$ is $$3$$
A set of suggested resources or problem types that teachers can turn into a problem set
15-20 minutes
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
A cube has $$6$$ equal sides, each with an area of $${s^2}$$ square units. The surface area of a cube is the total area of all six sides, and is represented by the formula $$S=6{s^2}$$.
Find the surface area of a cube with the side lengths below.
a. $${s=3}$$ inches
b. $${s=1.2}$$ cm
c. $${s={2\over3}}$$ ft
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
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Write expressions for verbal statements and vice versa (Part 1).
Topic A: Numerical Expressions with Exponents
Understand the meaning of exponents.
Standards
6.EE.A.1
Evaluate numerical expressions involving whole-number exponents.
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Topic B: Introduction to Algebraic Expressions
Use variables to write algebraic expressions.
6.EE.A.26.EE.A.2.C6.EE.B.6
6.EE.A.26.EE.A.2.C
6.EE.A.2.A6.EE.A.2.B
Write expressions for verbal statements and vice versa (Part 2).
Topic C: Equivalent Expressions & Applications
Identify equivalent expressions (Part 1).
6.EE.A.36.EE.A.4
Identify equivalent expressions (Part 2).
Write equivalent expressions using the distributive property (Part 1).
Write equivalent expressions using the distributive property (Part 2).
Write algebraic expressions for application situations (Part 1).
6.EE.B.6
Write algebraic expressions for application situations (Part 2).
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