MCCCD Program Description

Multiplicative and Proportional Reasoning

Course: MAT053

First Term: 2018 Fall

Lecture 1.0 Credit(s) 1.0 Period(s) 1.0 Load
Subject Type: Academic
Load Formula: S - Standard Load

Description: Primary emphasis on conceptual understanding of decimals and fractions, and decimal and fraction multiplication and division. Solving problems involving decimals, fractions, and percentages. Focus on additive and multiplicative reasoning including proportionality and similarity.

MCCCD Official Course Competencies
1. Distinguish appropriate uses of additive and multiplicative reasoning. (I, II, III) 2. Utilize and compare multiple solution strategies, including proportions, to solve a single problem. (I, II, III) 3. Determine whether a result is reasonable in the context of a problem. (I, II, III) 4. Model, solve, and interpret solutions to real world problems involving fractions and percentages. (I, II, III) 5. Perform the operations of multiplication and division on fractions and decimals. (II) 6. Use multiple frameworks to describe the meaning of a fraction, including percentages. (II, III) 7. Convert between decimals, fractions, and percentages. (II, III) 8. Identify the unit quantified by each fraction/ratio/percent in context when problem solving. (II, III) 9. Use scale factors and the scaling approach to proportionality to solve application problems in the context of percentages, similar figures, and equivalent ratios. (II, III, V) 10. Use unit conversions in applications of one, two, and three dimensional objects. (IV)
MCCCD Official Course Competencies must be coordinated with the content outline so that each major point in the outline serves one or more competencies. MCCCD faculty retains authority in determining the pedagogical approach, methodology, content sequencing, and assessment metrics for student work. Please see individual course syllabi for additional information, including specific course requirements.

MCCCD Official Course Outline
I. Types of mathematical reasoning A. Additive reasoning B. Multiplicative reasoning C. Distinguish between additive and multiplicative reasoning D. Applications II. Fractions A. Equivalent fractions B. Operations (multiplication and division) C. Applications III. Proportions and percentages A. Ratios and rates B. Proportions C. Percentages D. Percent increase/decrease E. Applications IV. Systems of measure A. Converting 1-dimensional measures B. Converting 2-dimensional measures C. Converting 3-dimensional measures V. Similarity and proportionality

MCCCD Governing Board Approval Date: May 22, 2018

All information published is subject to change without notice. Every effort has been made to ensure the accuracy of information presented, but based on the dynamic nature of the curricular process, course and program information is subject to change in order to reflect the most current information available.