Processing math: 100%

Education Technology

Sign Up for TI Emails

Learning Sequences

Target students' misconceptions and help them develop a deeper understanding of important concepts.

Select your criteria

GRADE LEVEL 6,7

Expressions & Equations

1. What is an Exponent?

This lesson allows students to investigate exponents and learn how to use exponents as a compact way to write expressions involving whole number multiplication.

6.EE.A.2c

7.2.E

GRADE LEVEL 6,7

Expressions & Equations

2. What is a Variable?

In this lesson students evaluate expressions, write expressions that correspond to given situations, and use expressions and formulas to solve problems.

6.EE.A.2
6.EE.A.3

6.5.A
7.14.A

Expressions & Equations

3. Building Expressions

In this lesson students focus on comparing expressions and establish a foundation for the definition of equivalent expressions.

6.EE.A.2
6.EE.A.3
6.EE.A.4

6.13.B
6.5.A

GRADE LEVEL 6,7

Expressions & Equations

4. What is an Equation?

In this lesson students investigate expressions and equations to develop what it means to have a solution to an equation.

6.EE.A.4
6.EE.B.5
6.EE.B.6

7.5.B

GRADE LEVEL 6,7

Expressions & Equations

5. Equations and Operations

In this lesson students investigate the relationship between the solution to an equation and the solution to a new equation formed by adding, subtracting, multiplying, or dividing one or both sides of the original equation by a numerical value.

6.EE.B.6
6.EE.B.7

7.5.A

GRADE LEVEL 6,7

Expressions & Equations

6. Using Structure to Solve Equations

In this lesson students reason about the structure of expressions on either side of an equation as a way to relate the equation to the order of arithmetic operations and use this method to solve equations.

6.EE.B.5
6.EE.B.6
6.EE.B.7
7.EE.B.3
7.EE.B.4

6.10.A
7.11.A

GRADE LEVEL 6,7

Expressions & Equations

7. Visualizing Equations Using Mobiles

In this lesson students explore interactive mobiles for modeling one or more equations. Students are given specific constraints and use solution preserving moves to reinforce the understanding of how equations work.

6.EE.B.5

6.10.B
6.6.C
6.7.C
7.11.B

GRADE LEVEL 6,7

Expressions & Equations

8. Linear Inequalities in One Variable

In this lesson students focus on inequalities and methods of solving them, building on the concept of solution- and order-preserving moves in the context of an inequality.

6.EE.B.5
7.EE.B.4b

6.10.B
7.11.A

GRADE LEVEL 6,7

Expressions & Equations

9. Visualizing Linear Expressions

In this lesson students will use the distributive property to rewrite expressions for a given context in order to make connections between the scenario and the expression(s) that describe it.

6.EE.A.2
7.EE.A.2

6.10.A
7.11.A

GRADE LEVEL 6,7

Expressions & Equations

10. Building Expressions in Two Variables

In this lesson students gain more practice creating equivalent expressions using the properties of multiplication and addition. Students are able to build more complex expressions for the purpose of demonstrating expressions of the second and third degree.

7.EE.A.2

6.7.D

Expressions & Equations

11. Extending Exponents

In this lesson students investigate how patterns in the computations for

$a^n, (ab)^n, (a^m)^n$ that held for positive integer exponents extend naturally to integer exponents.

8.EE.A.1

8.2.C

GRADE LEVEL 6,7,8

Expressions & Equations

12. Solving Equations

In this lesson students draw upon tools learned in previous work and focus on making strategic choices in solving linear equations.

8.EE.C.7

6.10.A
7.11.A
8.8.C

Expressions & Equations

13. Equations of the Form $ax+by = c$

In this lesson students investigate linear equations of the form

$ax+by = c$ . Students use coordinate grids to explore the “trade off” or “exchange” between the values of the two variables in order to maintain the constraint imposed by the constant c.

8.EE.C.8

8.5.I

Expressions & Equations

14. Prop. Relationships to Linear Equations

In this lesson students use previous experience with proportional relationships of the form

$y = kx$ to consider relationships of the form

$y = mx$ and eventually

$y = mx+b$ .

8.EE.B.6

8.5.B

Expressions & Equations

15. Visualizing Systems of Linear Equations

In this lesson students will reason about solutions to systems of equations while modeling the systems on mobiles.

8.EE.C.8

8.9

Expressions & Equations

16. What is a solution to a System of Equations

In this lesson students are introduced to a system of linear equations in two variables and find solutions using balances. Then students investigate graphically systems with a unique solution, no solutions, or infinitely many solutions.

8.EE.C.8

8.9

Expressions & Equations

17. Solving Systems of Equations Algebraically

In this lesson students will investigate pathways for solving systems of linear equations algebraically.

8.EE.C.8

8.9

GRADE LEVEL 6,7

Expressions & Equations

18. Visualizing Quadratic Expressions

In this lesson students manipulate geometric figures to explore equivalent expressions that can be expressed in the form

$x^2 + bx + c$ where

$b$ and

$c$ are positive integers.

7.EE.B.4

6.7.C

Control your cookie preferences

You can control your preferences for how we use cookies to collect and use information while you're on TI websites by adjusting the status of these categories.

Category	Description	Allow
Analytics and performance cookies	These cookies, including cookies from Google Analytics, allow us to recognize and count the number of visitors on TI sites and see how visitors navigate our sites. This helps us improve the way TI sites work (for example, by making it easier for you to find information on the site).
Advertising and marketing cookies	These cookies enable interest-based advertising on TI sites and third-party websites using information you make available to us when you interact with our sites. Interest-based ads are displayed to you based on cookies linked to your online activities, such as viewing products on our sites. We may also share this information with third parties for these purposes. These cookies help us tailor advertisements to better match your interests, manage the frequency with which you see an advertisement, and understand the effectiveness of our advertising.
Functional cookies	These cookies help identify who you are and store your activity and account information in order to deliver enhanced functionality, including a more personalized and relevant experience on our sites. If you do not allow these cookies, some or all site features and services may not function properly. If you do not allow these cookies, some or all of the site features and services may not function properly.
Social media cookies	These cookies allow identification of users and content connected to online social media, such as Facebook, Twitter and other social media platforms, and help TI improve its social media outreach.
Strictly necessary	These cookies are necessary for the operation of TI sites or to fulfill your requests (for example, to track what items you have placed into your cart on the TI.com, to access secure areas of the TI site, or to manage your configured cookie preferences).	Always On

Accept all

Save and Close