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# GCF LearnFree: Basic Math

### Details

### Activity Description

GCF LearnFree provides help with basic math in the areas of subtraction, multiplication, division, fractions, decimals, and percents. With an emphasis on images and interactives, their math tutorials make learning math easier. The tutorials are designed to be like a math workbook, so learners can practice what they learn directly within the lessons and learn at their own pace.

### Preparation

- Preview the site to get comforatble with how it works so you can explain it to your students if there are questions.
- Decide which topic to focus on.
- Find the page in your class textbook which deals with the same topic.
- Post the page(s) on the board.

### Teacher Tips

- On the second day, provide five review problems to see if they understood yesterday's lesson.

### More Ways

- Go through each of the sections: addition and subtraction, multiplication and division, fractions, decimals, and percents
- The GCF LearnFree site has so many resources that it's hard to know where to start. Go out to the home page and browse around, especially in the Everyday Life, Reading, Work and Career, and Technology sections.

### Program Areas

- ABE: Adult Basic Education
- ASE: High School Equivalency Preparation

### Levels

- Low
- Intermediate

### Lesson Plan

**Warm-up**

- Have students turn to their partners and share what they have learned in the last math lesson.
- How can they use what they learned in their daily lives?

**Introduction**

- Introduce the GCF LearnFree math site
- Show one of the topics
- Do the interactive section as a class

**Presentation**

- Introduce the topic and the importance of knowing how to do this.
- Show a video on this topic.
- Do the interactive section as a class

**Practice**

- Assign small groups the textbook page to work on together.
- Set a timer.
- Go over any problems the groups are having trouble with.
- Post the answers for groups to check their work.

**Evaluation**

- Walk around the room while students are working in their small groups to access student learning.
- Identify any gaps in their learning and reteach if necessary.

**Application**

- Have students turn to their partners and share what they have learned in this math lesson.
- How can they use what they learned in their daily lives?
- Have students share with the whole group.

### Subjects

- Math
- Algebra
- Decimals
- Fractions
- Percentages
- Pre-Algebra
- Whole Number Skills

- Mathematics
- Algebraic Concepts
- Numbers and Operations on Numbers

### 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.

- 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.

- 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.