Pre-Algebra Module 2: Fractions, Decimals, Percentages

Select the activities below to download a word document. Select the PDF version if desired.
Lessons Lesson Summary
For virtual manipulatives for fractions and percentages, please see: http://matti.usu.edu/nlvm/nav/grade_g_3.html

Pre 2.0a Fraction Problem Solving with Tiles          PDF

Students problem solve, build, record and explain the numbers of different colored tiles in the rectangles.

Pre 2.0b Fractions and Algebra with Rods                    PDF

Students examine the fractional relationships using Cuisenaire rods.  They record these relationships algebraically and explain their equations 
Pre 2.0c Fraction Problem Solving with Pattern Blocks
PDF
Students use pattern blocks to model proper and improper fractions. They assign different shape units as the “whole” and then relate the different pattern blocks to that “whole.”  
Pre 2.0d Assessment
 
Students use fractions and algebraic representation to solve the assessment question.

Pre 2.1a Tangram Fractions

Create a Tangram

Tangram story

Students create a square using tangram puzzle pieces, label each shape’s area as a fractional part of the whole and then relate the fraction values to the decimal values. (Access the link to Create a Tangram if you wish students to create their own and learn geometry and fractions in the process.)

Pre 2.1b Tangram Fraction Fun
PDF

Students build different geometric shapes using specified numbers of tangrams and write equations which add the fractional pieces.
Pre 2.2a Wholes and Parts This lesson provides a conceptual foundation for multiplication and division of fractions. Students divide whole bars into parts and circle the number of parts to represent the fractions (like multiplication). Then they represent the parts and figure out the whole bar(like division).
Pre 2.1c Adding and Subtracting Fractions with fraction bars.

*Fraction Bars Charts (7 pages)
*Bar chart (seven on one page)
Students create fraction strips using card stock and use the strips to add and subtract fractions with like and unlike denominators. They derive the common denominator concept.
*Access bar chart at left--see directions in lesson.
Pre 2.2 Multiplying Fractions with Area Models               PDF

Students model multiplication using area models. and discover the rule for multiplying fractions.

Pre 2.3 Modeling Division with Fractions                   PDF Students relate division to factoring. Then they investigate fraction division using fraction strips.
Pre 2.4a Fraction Assessment
PDF 
Students must problem solve to prove their understanding of fractions.
Pre 2.4b Operating with Fractions Assessment     PDF Students must prove their understanding of operations on fractions.
Pre 2.5 Fractions, Decimals, Percents and Candy        PDF Students use candy and visual models to relate fractions, decimals and percentages.
Pre 2.6 Problem Solving with Fractions, Decimals, Percents
PDF
Students consider fractions and percents asrelated to the number of almonds in a candy bar. They also build rectangular areas (using color tiles and graph paper) to visualize and find a percentage of the whole and then the whole from the percentage.
Pre 2.7a Estimating with Fractions, Decimals, Percents
PDF 
Students order fractions and decimals based on size. They estimate fractional quantities using fraction, decimal and percent equivalents. 

Pre 2.7b Percent Estimator
Student Template 1, 2, 3,
Teacher Template
Estimating Questions

Students work in groups to find the common fraction/decimal/percentage equivalents. They practice estimation using these equivalents.
Pre 2.9a Fractions, Decimals, Percents in Data
PDF 
Students use percentage reasoning to read pie graphs. Then they extend their understanding by calculating percentages for specific situations.
Pre 2.9b Assessments
PDF
Students must apply their understanding of fractions, decimals, and percents in contexts.

Fraction Bingo

Bingo Problems

 

Performance Assessment:
If the Word Were a Village
Worksheet

Students and teachers read If the World Were a Village. After discussing questions which relate the book to their school, city, or state, they work to solve percentage problems (see worksheet) or they formulate their own questions to research, solve, and present solutions for.