Module 1: Solving Linear Equations
Overview
This Module helps students to explore the process of solving linear equations. Students will make observations and measurements to identify materials based on their properties. They will also develop models to generate data and use technology to seek feedback while completing different activities that guide them through the process of solving linear equations. Students will complete various activities from watching Youtube videos to completing Google Docs and FlipGrids explaining their rationale.
Solving Linear Equations
Module 1:
Solving Linear Equations
Teacher Version
- Each Lesson is made to be used within a 50 minute period.
- Each Module is made to be completed within a 5-day week.
- Each Module is based on some of the material from the Open Stax Elementary Algebra 2e: https://d3bxy9euw4e147.cloudfront.net/oscms-prodcms/media/documents/ElementaryAlgebra2e-WEB_1.pdf
- Some of the questions are based on this textbook: http://www.wallace.ccfaculty.org/book/Beginning_and_Intermediate_Algebra.pdf
- Google Classroom that supports these lessons can be accessed with code: lpazqtb
Standards:
Science/Engineering
5-PS1-3- Make observations and measurements to identify materials basked on their properties.
MS-ETS1-3- Analyze data from tests to determine similarities and differences among several design solutions to identify the best characteristics of each that can be combined into a new solution to better meet the criteria for success.
MS-ETS1-4- Develop a model to generate data for iterative testing and modification of a proposed object, tool, or process such that an optimal design can be achieved.
Technology:
EMPOWERED LEARNER 1C- Students use technology to seek feedback that informs and improves their practice and to demonstrate their learning in a variety of ways.
CREATIVE COMMUNICATOR 6C- Students communicate complex ideas clearly and effectively by creating or using a variety of digital objects such as visualizations, models, or simulations.
Mathematics:
CCSS.MATH.CONTENT.HSA.REI.A1- Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
CCSS.MATH.CONTENT.HSA.REI.B3- Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
CCSS.MATH.CONTENT.HSA.CED.A.1- Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
CCSS.MATH.CONTENT.HSA.CED.A.4- Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm's law V = IR to highlight resistance R.
CCSS.MATH.CONTENT.HS.SSE.A.1- Interpret expressions that represent a quantity in terms of its context.
CCSS.MATH.PRACTICE.MP2-Reason abstractly and quantitatively.
CCSS.MATH.PRACTICE.MP4-Model with mathematics.
CCSS.MATH.PRACTICE.MP6-Attend to precision.
Daily Outline:
Day 1: SOLVING ONE-STEP AND TWO-STEP EQUATIONS
- (10 minutes) Students should complete the warmup problems in the form of a Google Quiz titled Inverse Operations. They will be asked to identify the inverse operations that will solve the assigned equations.
- (20 minutes) Students will then need to watch the narrated PowerPoint presentation that goes over an introduction to solving linear equations.
- (10 minutes) Students will then need to play an individual Kahoot review game that will go over solving one and two step equations.
- https://kahoot.it/challenge/04976889?challenge-id=5889a8f8-a5f1-4702-92e4-961fc28127f0_1593141449060
- (10 minutes) Students will then complete the review questions in the google doc that go over solving one and two step equations.
Day 2: SOLVING GENERAL EQUATIONS WITH CONSTANTS AND VARIABLES ON BOTH SIDES
- (20 minutes) Students should follow along with this Khan Academy video that introduces solving equations with constants and variables on both sides.
- (30 minutes) After the video, students will complete the rest of their review questions from the document on Day 1.
Day 3: FRACTIONS AND DECIMALS
- (15 minutes) Students will follow through a Powerpoint presentation that shows them how to solve equations with fractions and decimals.
- (20 minutes) Students will then watch a Youtube video that shows them another way of solving equations with fractions and decimals.
- (15 minutes) Students will then complete Google Doc review questions on solving equations with fractions and decimals.
Day 4: TRANSLATING WORD PROBLEMS
- (20 minutes) Students will follow along with the emaze presentation that introduces translating word problems.
- (20 minutes) Students will then create a FlipGrid explaining a word problem that they have created on their own that is 50-75 seconds long. They need to explain the problem they have created, the equation that is created from the word problem, and how to solve and verify their solution.
- (10 minutes) Students will then take a look at their boat challenge for Day 5 and start to come up with their own ideas.
Day 5: LAB DAY
- (40 minutes) Students will complete the Boat Challenge that they should have already started brainstorming for.
- (10 minutes) Students will then complete an exit slip on whether they think the lab would have been different if they built with cardboard instead of aluminum foil.