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# Algebra and Fractions PowerPoint PPT Presentation

Algebra and Fractions. Dr. Laura McLaughlin Taddei. Learning Goal: Students will develop and present various examples of developmentally appropriate math experiences for young children.

Algebra and Fractions

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## Algebra and Fractions

• Learning Goal: Students will develop and present various examples of developmentally appropriate math experiences for young children.

• Learning Goal: Students will develop, implement, assess, and modify curriculum and lessons for children from Pre-K through 4th grade using PA state standards and National standards if applicable.

• Learning Goal: Students will plan, implement, and adapt for all children appropriate developmental, cultural, and linguistic instructional practices and strategies.

### Learning Outcomes

• What are the big ideas of promoting algebraic reasoning (Van de Walle, Lovin, Karp, & Bay-Williams, p. 126, 2014)?

### Algebraic Reasoning

• Study of structures in number system

• Study of patterns, relations and functions

• Process of mathematical modeling, including the meaningful use of symbols

### Three Strands of Algebraic Reasoning

• Activity 13.1 – One up One Down – how can this activity teach children generalizations – what tools would you use to teach this?

• How can you use the Hundreds chart to help children learn to generalize

### Generalizing

• Choose an activity on pages 230 to 235

• Demonstrate and explain to the class

### Practice – Stop and Reflect

• Let's Be Pattern Detectives

• NCTM Illuminations Activity - Patch Tool

### Finding games to teach math

• Please refer to Table 13.1 – how would you teach these properties of operations to children

### Properties of Operations to Teach Children

• Choose an activity from pages 244 to 248

• Discuss in small group, illustrate if materials are available, and describe to the whole group

### Practice

• What are the big ideas for exploring early fraction concepts? (page 251)

### Big Idea - Fractions

• Curriculum Focal Points and NCTM and Common Core recommend formal instruction of fraction concepts begin in third grade

• However, you can begin to build on children’s every day experiences to introduce fractions.

• How would you do this?

### Introducing Fractions

• Partitioning geometric shapes into equal shares – can occur in first and second grade

• First grade children begin to partition circles and rectangles into two and four equal parts

• First graders should know the vocabulary – halves,fourths and quarters

### Common Core State Standards

• Introducing children to part-whole – shading part of a whole that has been partitioned into equal parts

• Equal Sharing – initial instruction on fractions should focus on this – children have experience with this – create an equal sharing problem

• Measurement – Common Core standards recommend limiting measuring in K-2 to whole units, however, fractions emerge naturally – this also includes time – telling time to half hour or quarter hour and relating an hour to 60 minutes

### Meanings of Fractions

• Partitioning – splitting or cutting a quantity equally

• Connecting informal knowledge of fair sharing to more formal fraction concepts is key to providing effective initial fraction instruction in K -2 grade

• Iterating – counting a repeated amount (unit or fraction)How many fourths are in one whole?

• Using models to teach fractions is important

### Fractions are Numbers too

• Use the materials in the classroom to create an activity you can use to teach fractions to children

• Identify the standards

• Demonstrate to the class

• Complete a Teaching Children Math activity sheet

### Create a Fraction Activity

Van de Walle, J., Lovin, L., Karp, K., Bay-Williams, J. (2014). Teaching student-centered mathematics. Second edition. Pearson Education.

Smith, S. (2013). Early childhood mathematics. Pearson Education