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Algebra2go: Prealgebra Math

Details

Main Website:
https://www.muchomath.com/algebra2go/index.html
Activity Website:
https://www.muchomath.com/algebra2go/index.html

Activity Description

This Web site is filled with tools to assist teachers as they set up their math course as well as students looking for individual help. The site includes class notes, video worksheets, video lectures (using different formats if you cannot access YouTube), homework sets, topic quizzes to assess if students are able to skip the topic, and much more.

Algebra2Go
Source: https://www.saddleback.edu/faculty/lperez/algebra2go/index.html (License: Protected by Copyright (c) [i.e. screenshot])
 

Preparation

  1. Preview the site. Read the information on the home page to familiarize yourself with the site. Then select a course/topic in the left side navigation menu. Then you will see the Class Notes, Video Worksheets, Video formats, Homework sets and Topic Quizzes that are available.
  2. Preview the video
  3. If you plan on group activities after the class watches the video, print the homework set for your topic choice.
  4. Print copies of answer keys (found at the end of some of the homework sets, also problem answers are available in the class notes).
  5. Have an answer key to the Homework set available if you want students to correct their own work.

Teacher Tips

  • Support Struggling Students: Print out Video Worksheets so they can follow along.
  • Enrichment: Encourage advanced learners to create their own topic quizzes using Algebra2Go resources. 
    Make It Fun: Gamify the practice with challenges or competitions. 

More Ways

  • Explore other courses offered on the left side menu. Beginning Algebra is not yet finished (missing homework sets and topic quizzes), but there are wonderful Class Notes and Videos to aid in understanding Algebra.
  • Be sure to check Resources (scroll further down the left side menu). The study guides are well written and worth printing for student use.

Program Areas

  • ASE: High School Equivalency Preparation
  • ABE: Adult Basic Education
  • ASE: High School Diploma

Lesson Plan

Warm-up
Engagement
  • Quick Math Review Game: Start with a brief "Math Relay" game where students solve simple problems related to the day's topic on a whiteboard or digital platform (e.g., Kahoot, Quizizz). 
  • Think-Pair-Share: Give students a pre-assessment question related to the topic and ask them to discuss their thoughts with a partner before sharing with the class. 
Introduction
  • Briefly introduce the Algebra2Go website and explain how it will be used as a learning tool. 
  • Show students where to find Class Notes, Video Worksheets, Homework Sets, and Topic Quizzes on the site. 
  • State the learning objective for the lesson (e.g., "Today, we will learn how to add and subtract fractions"). 
Presentation
Enhancement
  • Use Class Notes from the website or a textbook to introduce key concepts. 
  • Watch the instructional video as a class, pausing at key moments to discuss and solve example problems. 
  • Model problem-solving strategies and involve students by asking them to explain their thinking. 
Practice
Engagement Enhancement
  • Guided Practice: Hand out Video Worksheets and work through a few problems together. 
  • Collaborative Learning:  
    • Think-Pair-Solve: Students work in pairs to solve problems and explain solutions to each other. 
    • Jigsaw Learning: Assign groups different parts of a concept (e.g., different fraction problems) and have them teach each other. 
    • Class Debate ("SmackDown!") – If students disagree on an answer, have them defend their reasoning before revealing the correct answer. 
Evaluation
Enhancement
  • Use Topic Quizzes from Algebra2Go to assess understanding. 
  • Exit Ticket: Ask students to write down one thing they learned and one question they still have. 
  • If possible, use a digital self-check quiz (Google Forms, Kahoot, or Quizizz) to gauge understanding. 
Application
Extension
  • Project-Based Learning: Have students apply the concept in real-world scenarios (e.g., "You are doubling a recipe that requires ¾ cup of sugar. How much do you need?"). 
  • Math in My Life: Ask students to find a real-life example of how they use this math concept outside the classroom and share it. 

Documents

Subjects

  • Math
    • Algebra
    • Geometry

Standards

  • Number and Operations: Base Ten
    • 1.NBT.1-3 - Understand place value.
    • 1.NBT.4-6 - Use place value understanding and the properties of operations to add and subtract.
    • 2.NBT.2-4 - Understand place value.
    • 2.NBT.6-9 - Use place value understanding and properties of operations to add and subtract.
    • 3.NBT.1-3 - Use place value understanding and properties of operations to perform multi-digit arithmetic.
    • 4.NBT.1-3 - Generalize place value understanding for multi-digit whole numbers.
    • 4.NBT.4-6 - Use place value understanding and properties of operations to perform multi-digit arithmetic.
    • 5.NBT.1-4 - Understand the place value system.
    • 5.NBT.5-7 - Perform operations with multi-digit whole numbers and with decimals to hundredths.
  • Operations and Algebraic Thinking
    • 1.OA.2 - Represent and solve problems involving addition and subtraction.
    • 1.OA.3-4 - Understand and apply properties of operations and the relationship between addition and subtraction.
    • 1.OA.5-6 - Add and subtract with 20.
    • 1.OA.7-8 - Work with addition and subtraction.
    • 2.OA.1 - Represent and solve problems involving addition and subtraction.
    • 2.OA.2 - Add and subtract with 20.
    • 3.OA.1-4 - Represent and solve problems involving multiplication and division.
    • 3.OA.5-6 - Understand properties of multiplication and the relationship between multiplication and division.
    • 3.OA.7 - Multiply and divide within 100.
    • 3.OA.8-9 - Solve problems involving the four operations, and identify and explain patterns in arithmetic.
    • 4.OA.1-3 - Use the four operations with whole numbers to solve problems.
    • 4.OA.4 - Gain familiarity with factors and multiples.
    • 4.OA.5 - Generate and analyze patterns.
    • 5.OA.1-2 - Write and interpret numerical expressions.
  • Geometry
    • K.G.4 - Analyze, compare, create, compose shapes.
    • 1.G.2 - Reason with shapes and their attributes.
    • 2.G.1,3 - Reason with shapes and their attributes.
    • 3.G.1-2 - Reason with shapes and their attributes.
    • 4.G.1 - Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
    • 5.G.1-2 - Graph points on the coordinate plane to solve real-world and mathematical problems.
    • 5.G.3 - Classify two-dimensional figures into categories based on their properties.
    • 6.G.1,3-4 - Solve real-world and mathematical problems involving area, surface area, and volume.
    • 7.G.1 - Draw, construct, and describe geometrical figures and describe the relationships between them.
    • 7.G.4-6 - Solve real-life and mathematical problems involving angle, measure, area, surface area, and volume
    • 8.G.2,4-5 - Understand congruence and similarity using physical models, transparencies, or geometry software.
    • 8.G.7-8 - Understand and apply the Pythagorean Theorem.
  • Measurement and Data
    • 1.MD.2 - Measure lengths indirectly and by iterating length units.
    • 2.MD.2-4 - Measure and estimate lengths in standard units.
    • 2.MD.6 - Relate addition and subtraction to length.
    • 3.MD.1-2 - Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.
    • 3.MD.3-4 - Represent and interpret data.
    • 3.MD.5-7d - Geometric measurement: understand concepts of area and relate to area of multiplication and addition.
    • 3.MD.8 - Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.
    • 4.MD.2-3 - Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
    • 4.MD.5-7 - Geometric measurement: understand concepts of angle and measure angles.
    • 5.MD.1 - Convert like measurement units within a given measurement system.
    • 5.MD.2 - Represent and interpret data.
    • 5.MD.3-5c - Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
  • Number and Operations: Fractions
    • 3.NF.1-3d - Develop understanding of fractions as numbers.
  • The Number System
    • 6.NS.2-4 - Compute fluently with multi-digit numbers and find common factors and multiples.
    • 6.NS.1 - Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
    • 6.NS.5-8 - Apply and extend previous understandings of numbers to the system of rational numbers.
    • 7.NS.1-3 - Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
    • 8.NS.2 - Know that there are numbers that are not rational, and approximate them by rational numbers.
    • 6.RP.3-3d - Understand ratio concepts and use ratio reasoning to solve problems.
    • 7.RP.1-3 - Analyze proportional relationships and use them to solve real-world and mathematical problems.
  • Number and Operations: Fractions
    • 4.NF.1-2 - Extend understanding of fraction equivalence and ordering.
    • 4.NF.3-4c - Build fractions from unit fractions by applying and extending previous understanding of operations on whole numbers.
    • 4.NF.6-7 - Understand decimal notation for fractions, and compare decimal fractions.
    • 5.NF.1-2 - Use equivalent fractions as strategy to add and subtract fractions.
    • 5.NF.3-7c - Apply and extend previous understanding of multiplication and division to multiply and divide fractions.
  • Ratios and Proportional Relationships
    • 6.RP.1-2 - Understand ratio concepts and use ratio reasoning to solve problems.
  • Expressions and Equations
    • 6.EE.1-4 - Apply and extend previous understandings of arithmetic to algebraic expressions.
    • 6.EE.5-8 - Reason about and solve one-variable equations and inequalities.
    • 6.EE.9 - Represent and analyze quantitative relationships between dependent and independent variables.
    • 7.EE.1-2 - Use properties of operations to generate equivalent expressions.
    • 7.EE.3-4b - Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
    • 8.EE.1-4 - Work with radicals and integer exponents.
    • 8.EE.5 - Understand the connections between proportional relationships, lines, and linear equations.
    • 8.EE.7-8c - Analyze and solve linear equations and pairs of simultaneous linear equations.
  • Statistics and Probability
    • 6.SP.1-3 - Develop understanding of statistical variability.
    • 6.SP.4 - Summarize and describe distributions.
    • 6.SP.5 - Summarize and describe distributions.
    • 7.SP.1-2 - Use random sampling to draw inferences about a population.
    • 7.SP.3-4 - Draw informal comparative inferences about two populations.
    • 7.SP.5-8b - Investigate chance processes and develop, use, and evaluate probability models.
    • 8.SP.1-4 - Investigate patterns of association in bivariate data.
  • Functions
    • 8.F.1,3 - Define, evaluate, and compare functions.
    • 8.F.4-5 - Use functions to model relationships between quantities.
  • Number and Quantity: The Real Number System
    • N.RN.2 - Extend the properties of exponents to rational exponents.
  • Number and Quantity: Quantities
    • N.Q.1,3 - Reason quantitatively and use units to solve problems.
  • Algebra: Seeing Structure in Expressions
    • A.SSE.1-2 - Interpret the structure of expressions.
    • A.SSE.3-3a - Write expressions in equivalent forms to solve problems.
  • Algebra: Arithmetic with Polynomials and Rational Expressions
    • A.APR.1 - Perform arithmetic operations on polynomials.
    • A.APR.6 - Rewrite rational expressions.
  • Algebra: Creating Equations
    • A.CED.1-4 - Create equations that describe numbers or relationships.
  • Algebra: Reasoning with Equations and Inequalities
    • A.REI.1-2 - Understand solving equations as a process of reasoning and explain the reasoning.
    • A.REI.3-4 - Solve equations and inequalities in one variable.
    • A.REI.6 - Solve systems of equations.
    • A.REI.10 - Represent and solve equations and inequalities graphically.
  • Functions: Interpreting Functions
    • F.IF.1-2 - Understand the concept of a function and use function notation.
    • F.IF.4-6 - Interpret functions that arise in applications in terms of the context.
    • F.IF.7-9 - Analyze functions using different representations.
  • Functions: Building Functions
    • F.BF.1 - Build a function that models a relationship between two quantities.
  • Functions: Linear, Quadratic, and Exponential Models
    • F.LE.1-1c - Construct and compare linear, quadratic, and exponential models and solve problems.
    • F.LE.5 - Interpret expressions for functions in terms of the situation they model.
  • Geometry: Congruence
    • G.CO.1 - Experiment with transformations in the plane.
  • Geometry: Similarity, Right Triangles, and Trigonometry
    • G.SRT.5 - Prove theorems involving similarity.
  • Geometry: Geometric Measurement and Dimension
    • G.GMD.3 - Explain volume formulas and use them to solve problems.
  • Geometry: Modeling with Geometry
    • G.MG.2 - Apply geometric concepts in modeling situations.
  • Statistics and Probability: Interpreting Categorical and Quantitative Data
    • S.ID.1, 3 - Summarize, represent, and interpret data on a single count or measurable variable.
    • S.ID.5 - Summarize, represent, and interpret data on two categorical and quantitative variables.
    • S.ID.7, 9 - Interpret linear models.

Tags

Math, applications, area, beginning algebra, circles, conversions, cylinders, decimals, division, equations, exponents, fractions, inequalities, integers, math videos, metric, multiplication, order of operations, percents, perimeter, prealgebra, properties, proportions, ratios, rounding, signed numbers, spheres, square roots, subtraction, translating word statements to math, volume, absolute value, addition, algebra, algebra2go

Creative Commons License

CC BY-SA
CC BY-SA:This license allows reusers to distribute, remix, adapt, and build upon the material in any medium or format, so long as attribution is given to the creator. The license allows for commercial use. If you remix, adapt, or build upon the material, you must license the modified material under identical terms.

AI Reference

ChatGPT was used to rewrite this lesson in the WIPPEA format
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OTAN activities are funded by contract CN240137 from the Adult Education Office, in the Career & College Transition Division, California Department of Education, with funds provided through Federal P.L., 105-220, Section 223. However, OTAN content does not necessarily reflect the position of that department or the U.S. Department of Education.