Embedded Files
Accelerated Lesson
Accelerated Lesson
( Note, some activities are marked "OPTIONAL" in the student workbook to meet the accelerated pace.)
Standards
Standards
Learning Targets
Learning Targets
Additional Resources
Additional Resources
I can explain how a tape diagram represents parts of a situation and relationships between them.
I can use a tape diagram to find an unknown amount in a situation.
Addressing:
NC.7.EE.3
NC.7.EE.4
Building Toward:
NC.7.EE.4
Building On:
NC.6.EE.4
NC.6.EE.5
I can match equations and tape diagrams that represent the same situation.
If I have an equation, I can draw a tape diagram that shows the same relationship.
I can draw a tape diagram to represent a situation where there is a known amount and several copies of an unknown amount and explain what the parts of the diagram represent.
I can find a solution to an equation by reasoning about a tape diagram or about what value would make the equation true.
Reasoning about Contexts with Tape Diagrams( Part 2)
Digital Manipulatives
3.3 Drawing Tape Diagrams to Represent Equations
YouTube Video
Reasoning about Contexts with Tape Diagrams (Part t2)
Khan Academy Practice
Identify Equations from Visual Models
Reasoning about Equations and Tape Diagrams (Part 1)
Digital Manipulatives
4.1 Algebra Talk: Seeing Structure
YouTube Video
Reasoning about Equations and Tape Diagrams (Part 1)
Khan Academy Videos
Writing Algebraic Expressions with Word Problems
One Step Word Problem - Super Yoga (1)
One Step Word Problem - Super Yoga (2)
Khan Academy Practice
Writing Expressions Word Problems
Identify Equations from Visual Models
Solve Equations from Visual Models
Video Lesson Summary: Representing Two Types of Situations From Illustrative Mathematics
I can draw a tape diagram to represent a situation where there is more than one copy of the same sum and explain what the parts of the diagram represent.
I can find a solution to an equation by reasoning about a tape diagram or about what value would make the equation true.
I understand the similarities and differences between the two main types of equations we are studying in this unit.
When I have a situation or a tape diagram, I can represent it with an equation.
Reasoning about Equations and Tape Diagrams (Part 2)
Digital Manipulatives
5.2 More Situations and Diagrams
YouTube Video
Reasoning about Equations and Tape Diagrams (Part 2)
Khan Academy Videos
Writing Algebraic Expressions with Word Problems
One Step Word Problem - Super Yoga (1)
One Step Word Problem - Super Yoga (2)
Khan Academy Practice
Writing Expressions Word Problems
Identify Equations from Visual Models
Solve Equations from Visual Models
Distinguishing Between Two Types of Situations
Khan Academy Video
Interpret Linear Expressions (2)
Khan Academy Practice
Interpreting Linear Expressions
Writing Expressions Word Problems
Identify Equations from Visual Models
Solve Equations from Visual Models
Video Lesson Summary: Representing Two Types of Situations From Illustrative Mathematics
4
4
I can find an unknown weight on a hanger diagram and solve an equation that represents the diagram.
I can write an equation that describes the weights on a balanced hanger.
I can explain how a balanced hanger and an equation represent the same situation.
I can explain why some balanced hangers can be described by two different equations, one with parentheses and one without.
I can explain how a balanced hanger and an equation represent the same situation.
I can write an equation that describes the weights on a balanced hanger.
I can find an unknown weight on a hanger diagram and solve an equation that represents the diagram.
Reasoning about Solving Equations (Part 1)
Khan Academy Video
YouTube Video
Representing and Solving Equations with Hanger Models
Khan Academy Practice
Identify Equations from Visual Models (Hanger Diagrams)
Reasoning about Solving Equations (Part 2)
Khan Academy Video
YouTube Videos
Multi-Step Equations with Distributive Property
Representing and Solving Equations with Hanger Models
Khan Academy Practice
Identify Equations from Visual Models (Hanger Diagrams)
Video Lesson Summary: Reasoning about Solving Equations From Illustrative Mathematics
5
5
I can use the idea of doing the same to each side to solve equations that have negative numbers or solutions.
Khan Academy Videos
Khan Academy Practice
Video Lesson Summary: Reasoning about Solving Equations From Illustrative Mathematics
6
6
For an equation like 3(x+2)=15, I can solve it in two different ways: by first dividing each side by 3, or by first rewriting 3(x+2) using the distributive property.
For equations with more than one way to solve, I can choose the easier way depending on the numbers in the equation.
7
7
I can solve story problems by drawing and reasoning about a tape diagram or by writing and solving an equation.
I can solve story problems about percent increase or decrease by drawing and reasoning about a tape diagram or by writing and solving an equation.
9
9
Addressing:
NC.7.EE.4
Building Toward:
NC.7.EE.4
Building On:
NC.6.EE.5
I understand what it means for a number to make an inequality true.
I can explain what the symbols ≤ and ≥ mean.
I can represent an inequality on a number line.
10
10
I can write an inequality to represent a situation.
I can describe the solutions to an inequality by solving a related equation and then reasoning about values that make the inequality true.
11
11
I can solve inequalities by solving a related equation and then checking which values are solutions to the original inequality.
I can graph the solutions to an inequality on a number line.
12
12
If I have a situation and an inequality that represents it, I can explain what the parts of the inequality mean in the situation.
I can match an inequality to a situation it represents, solve it, and then explain what the solution means in the situation.
YouTube Videos
Efficiently Solving Inequalities
Graphing Inequalities on a Number Line
2 Step Inequality Word Problems
Khan Academy Practice
Two-Step Inequality Word Problems
IXL Math
One Step Inequality Word Problems
Graph Inequalities on a Number Line
Graph Inequalities on a Number Line
Video Lesson Summary: Solving Inequalities From Illustrative Mathematics
I can use what I know about inequalities to solve real-world problems.
Khan Academy Videos
Efficiently Solving Inequalities
Graphing Inequalities on a Number Line
2 Step Inequality Word Problems
Khan Academy Practice
Two-Step Inequality Word Problems
IXL Math
One Step Inequality Word Problems
Graph Inequalities on a Number Line (1)
Graph Inequalities on a Number Line (2)
Video Lesson Summary: Solving Inequalities From Illustrative Mathematics
Addressing:
NC.7.EE.1
Building Toward:
NC.7.EE.1
Building On: NC.7.NS.1 from previous grades)
I can re-write subtraction as adding the opposite and then rearrange terms in an expression.
I can organize my work when I use the distributive property.
I can organize my work when I use the distributive property.
I can use the distributive property to rewrite expressions with positive and negative numbers.
I understand that factoring and expanding are words used to describe using the distributive property to write equivalent expressions.
Subtraction in Equivalent Expressions
Khan Academy Videos
Adding and Subtracting Fractions
Equivalent Expressions with Negative Numbers
YouTube Video
Subtraction in Equivalent Expressions
Khan Academy Practice
Equivalent Expressions with Negative Numbers
Equivalent Expressions with Negative Numbers and Variables
Expanding and Factoring
Khan Academy Videos
Distributive Properties with Variables
YouTube Video
Khan Academy Practice
Distributive Property with Variables
Equivalent Expressions with Negative Numbers
Video Lesson Summary: Writing Equivalent Expressions From Illustrative Mathematics
15
15
Addressing:
NC.7.EE.1
Building Toward:
NC.7.EE.1
Building On:
NC.6.EE.4
When possible, I can write an equivalent expression that has fewer terms.
I can figure out whether two expressions are equivalent to each other.
Khan Academy Video
Equivalent Expressions with Distribution and Negative Numbers
YouTube Video
Khan Academy Practice
Equivalent Expressions with Negative Numbers
Video Lesson Summary: Writing Equivalent Expressions From Illustrative Mathematics
16
16
Addressing:
NC.7.EE.1
Building Toward:
NC.7.EE.1
Building On:
NC.6.EE.2
NC.6.EE.4
When possible, I can write an equivalent expression that has fewer terms.
I am aware of some common pitfalls when writing equivalent expressions, and I can avoid them.
Given an expression, I can use various strategies to write an equivalent expression.
When I look at an expression, I can notice if some parts have common factors and make the expression shorter by combining those parts.
Combining Like Terms (Part 2)
Khan Academy Videos
Combining Like Terms with Negative Coefficients and Distribution
Equivalent Expressions: Negative Numbers and Distributions
YouTube Video
Khan Academy Practice
Combining Like Terms with Negative Coefficients and Distribution
Equivalent Expressions: Negative Numbers and Distributions
Combining Like Terms (Part 3)
Khan Academy Video
Ex. Simplifying Expressions Involving Rational Numbers
Khan Academy Practice
Combining Like Terms with Rational Coefficients
Video Lesson Summary: Writing Equivalent Expressions From Illustrative Mathematics
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