Solving Linear Equations
Topic
This instructional design will allow people with no prior knowledge of how to properly solve
linear equations to do so effectively and efficiently.
Problem
Students are faced with solving linear equations in a variety of situations and lack the
necessary skills to find the correct solution. Often students fail to adequately recognize the
coefficients and stand-alone numbers present in an equation, or forget to apply the opposite
operation to both sides of the equation, thus do not succeed in solving the linear equation.
Audience
The audience is comprised of students enrolled in a Math I course.
Purpose
This instruction is intended to provide learners with an algorithm for solving linear equations
in the format ax + b = cx +d.
Format
Learners will understand how to solve linear equations by following instructions
presented on a webpage.
General learning expectations
Learners will be able to solve linear equations in the format ax + b=cx + d.
Learning goals and objectives
At the end of this course students will be able to successfully:
G.1. Solve linear equation
O.1. Students will recognize stand-alone numbers in linear equations
O.2. Students will recognize the coefficients in linear equations
O.3. Students will identify the opposite operation required for each
step
O.4. Students will be able to perform the opposite operations in order
to achieve a simplified version of the equation
Learning Activities
1. Students will be issued a link to the webpage containing the instructions.
2. Students will follow the instructions and a worked example.
3. Students will be given a set of 3 equations to work in class.
4. The instructor will verify that each student performed all the necessary steps in the correct
order, and that each student reached the correct solution.
Completion outcome
At the conclusion of the activity students will be able to solve linear equations in the
format ax+b=cx+d.
Technology required
Students will need a computer with speakers, paper and pencils.
Timeline
The students will take up to five minutes to wacth the instructions and follow the
example presented. Students will then use ten minutes to solve three equations.
Assessment
Evaluation of “Solving Linear Equations”
Activity
Students recognize coefficients in linear equations
Students recognize stand-alone numbers in linear equations
Students identify the opposite operation required for each step
Student perform the opposite
Students are able to solve the equations
Total
Points
/6
/6
/9
/9
/3
/33
Evaluation
Points
Did students recognize coefficients in linear equations?
Did students recognize stand-alone numbers in linear equations?
Did students identify the opposite operation required for each step?
Did student perform the opposite?
Did students are able to solve the equations?
Total
/6
/6
/9
/9
/3
/33