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Center for Curriculum and Transfer Articulation
Number Sense II
Course: MAT052

First Term: 2019 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 addition and subtraction. Solving problems involving decimals and fractions. Focus on mathematical language, connections, patterns and reasoning.



MCCCD Official Course Competencies
1. Construct fraction and decimal meanings through real world experiences. (I, II, III)
2. Relate the mathematical language and symbolic representations of numbers and operations to problem situations and informal language. (I, II, III, IV)
3. Utilize and compare multiple solution strategies to solve a single problem. (I, II, III, IV)
4. Determine whether a result is reasonable in the context of a problem. (I, II, III, IV)
5. Use physical materials, pictures and diagrams to express mathematical ideas. (I, II, III, IV)
6. Use models, known facts, properties and relationships to reason mathematically. (I, II, III, IV)
7. Use patterns and relationships to analyze mathematical situations. (II)
8. Relate decimals to place value concepts. (II)
9. Model and discuss meaning for the operations of addition and subtraction on decimals in a variety of problem situations. (IV)
10. Apply appropriate order of operations of addition and subtraction when performing calculations on signed fractions and signed decimals. (IV, VI)
11. Model, solve, and interpret solutions to real world problems involving addition and subtraction of fractions and decimals. (V, VI)
12. Perform the operations of addition and subtraction using fractions. (VI)
13. Use multiple frameworks to describe the meaning of a fraction. (VI)
14. Analyze and compare multiple models to establish the meaning of equivalence between fractions and between fractions and decimals. (VI)

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. Fraction sense
   A. Represent unit fractions 1/b on a number line
   B. Represent a fraction a/b on a number line
   C. Interpret a/b in myriad forms including rate, ratio, part-whole, quotient and a number of copies of a unit fraction
   D. Utilize multiple strategies for comparing fractions without converting fractions to decimal form
   E. Express whole number as fraction and recognize fractions that are equivalent to whole numbers
   F. Explain why fraction a/b is equivalent to fraction (n x a)/(n x b) using visual models
II. Decimal sense
   A. Compare two decimal numbers to hundredths reasoning about the size of the two numbers
   B. Compare two decimals to thousandths based on meanings of the digits and their respective place values
   C. Read and write decimals to thousandths using base-ten numerals, number names and expanded form
   D. Recognize that in a multi-digit number a digit in one place value has place value 10 times the digit to the right and 1/10th the digit to the left
   E. Use place value understanding to round decimals to specified place value
III. Connections between fractions and decimals
   A. Use place value to write fractions with denominators of 10 or 100 as decimals
   B. Convert fraction to decimal using division
   C. Convert (terminating) decimals to fractions
IV. Decimal operations
   A. Add and subtract multi-digit decimals to hundredths place fluently using standard algorithms
   B. Utilize order of operations to simplify expressions containing decimals
V. Types of mathematical reasoning with fractions
   A. Additive reasoning
   B. Multiplicative reasoning
   C. Distinguish between additive and multiplicative reasoning
   D. Applications
VI. Fractions
   A. Definitions
   B. Equivalent fractions
   C. Addition and subtraction operations
   D. Applications
 
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.