MCCCD Program Description

Number Sense I

Course: MAT051

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 whole numbers, integers and mathematical operations. Use systems of measure and Pythagorean Theorem. Focus on mathematical language, connections, patterns and reasoning.

MCCCD Official Course Competencies
1. Construct number meanings for whole numbers and integers through real world experiences. (I, II) 2. Use multiple frameworks to describe the meaning of whole number. (I, II) 3. Utilize and compare multiple solution strategies to solve a single problem. (I, II, III, IV, V) 4. Determine whether a result is reasonable in the context of a problem. (I, II, III, IV, V) 5.Use physical materials, pictures and diagrams to express mathematical ideas. (I, II, III) 6. Use models, known facts, properties and relationships to reason mathematically. (I, II, III, IV, V) 7. Use patterns and relationships to analyze mathematical situations. (I, II, III, IV, V) 8. Model, solve, and interpret solutions to real world problems involving whole numbers and integers. (I, II, III, IV, V) 9. Reason additively and multiplicatively. (III, IV, V) 10. Derive number facts from known facts. (III, IV) 11. Model and discuss meaning for the operations in a variety of problem situations. (III, IV) 12. Relate the mathematical language and symbolic representations of operations to problem situations and informal language. (III, IV) 13. Illustrate and explain how addition, subtraction, multiplication and division are interrelated. (IV) 14. Measure length, area and volume as whole number copies of a standard unit of measure. (VI) 15. Make connections between the array model for multiplication and area by understanding area as a geometric representation of multiplication. (VI) 16. Evaluate arithmetic expressions involving perfect square roots and radicals including Pythagorean theorem applications. (VII)
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. Represent and model whole numbers in multiple ways A. Place value and base-10 B. Discrete models C. Continuous models D. Contextual applications II. Represent and model integers in multiple ways A. Discrete models B. Continuous models C. Contextual application III. Represent and model addition, subtraction, multiplication and division on whole numbers and integers in multiple ways A. Addition: Combining two parts to make a whole B. Subtraction: Comparison, take-away, missing addend C. Multiplication: Repeated addition, accumulated distance, area, copies, groups, cartesian product D. Division: Partitioning model, repeated subtraction, missing factor E. Contextual applications F. Continuous and discrete models IV. Utilize the interrelatedness of the four binary operations and their properties when performing single or multiple binary operations A. Addition and subtraction as inverses, multiplication and division as inverses, multiplication as scaling and repeated addition, division as fair sharing, partitioning, and repeated subtraction B. Fact families to develop associative, commutative, distributive, inverse and identity properties C. Order of operations V. Use Factorization as a method of decomposing or recomposing a number multiplicatively as two or more factors A. Multiples, common multiples and least common multiples B. Factors, common factors and greatest common factors C. Prime factorization D. Relationship and connections between Least Common Multiple (LCM) and Greatest Common Factor (GCF) VI. Measure as a multiplicative comparison A. One-dimensional (length/perimeter) B. Two-dimensional (area) C. Three-dimensional (volume) VII. Square roots, radicals A. Definitions B. Pythagorean theorem C. Use and interpret the calculations in the Pythagorean Theorem

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.