Educational Technology Center

M4N1. Students will further develop their understanding of how whole numbers are represented in the baseten numeration system.
M4N2. Students will understand and apply the concept of rounding numbers.
M4N3. Students will solve problems involving multiplication of 23 digit numbers by 12 digit numbers. M4N4. Students will further develop their understanding of division of whole numbers and divide in problem solving situations without calculators.
M4N5. Students will further develop their understanding of the meaning of decimal fractions and use them in computations.
M4N6. Students will further develop their understanding of the meaning of common fractions and use them in computations.
M4N7. Students will explain and use properties of the four arithmetic operations to solve and check problems.
MEASUREMENT Students will measure weight in appropriate metric and standard units. They will also measure angles. M4M1. Students will understand the concept of weight and how to measure it.
M4M2. Students will understand the concept of angles and how to measure it.
GEOMETRY Students will understand and construct plane and solid geometric figures. They will also graph points on the coordinate plane. M4G1. Students will define and identify the characteristics of geometric figures through examination and construction. a. Examine and compare angles in order to classify and identify triangles by their angles. b. Describe parallel and perpendicular lines in plane geometric figures. c. Examine and classify quadrilaterals (including parallelograms, squares, rectangles, trapezoids, and rhombi). d. Compare and contrast the relationships among quadrilaterals. M4G2. Students will understand fundamental solid figures. a. Compare and contrast a cube and a rectangular prism in terms of the number and shape of their faces, edges, and vertices. b. Describe parallel and perpendicular lines and planes in connection with the rectangular prism. c. Construct/collect models for solid geometric figures (cube, prisms, cylinder, etc.). M4G3. Students will use the coordinate system. a. Understand and apply ordered pairs in the first quadrant of the coordinate system. b. Locate a point in the first quadrant in the coordinate plane and name the ordered pair. c. Graph ordered pairs in the first quadrant. ALGEBRA Students will investigate and represent mathematical relationships between quantities using mathematical expressions in problemsolving situations. M4A1. Students will represent and interpret mathematical relationships in quantitative expressions. a. Understand and apply patterns and rules to describe relationships and solve problems. b. Represent unknowns using symbols, such as □ and Δ. c. Write and evaluate mathematical expressions using symbols and different values. DATA ANALYSIS Students will gather, organize, and display data. They will also compare features of graphs. M4D1. Students will gather, organize, and display data according to the situation and compare related features. a. Represent data in bar, line and pictographs. b. Investigate the features and tendencies of graphs. c. Compare different graphical representations for a given set of data. d. Identify missing information and duplications in data. Process Skills Each topic studied in this course should be developed with careful thought toward helping every student achieve the following process standards. M4P1. Students will solve problems (using appropriate technology). a. Build new mathematical knowledge through problem solving. b. Solve problems that arise in mathematics and in other contexts. c. Apply and adapt a variety of appropriate strategies to solve problems. d. Monitor and reflect on the process of mathematical problem solving. M4P2. Students will reason and evaluate mathematical arguments. a. Recognize reasoning and proof as fundamental aspects of mathematics. b. Make and investigate mathematical conjectures. c. Develop and evaluate mathematical arguments and proofs. d. Select and use various types of reasoning and methods of proof. M4P3. Students will communicate mathematically. a. Organize and consolidate their mathematical thinking through communication b. Communicate their mathematical thinking coherently and clearly to peers, teachers, and others. c. Analyze and evaluate the mathematical thinking and strategies of others. d. Use the language of mathematics to express mathematical ideas precisely. M4P4. Students will make connections among mathematical ideas and to other disciplines. a. Recognize and use connections among mathematical ideas. b. Understand how mathematical ideas interconnect and build on one another to produce a coherent whole. c. Recognize and apply mathematics in contexts outside of mathematics. M4P5. Students will represent mathematics in multiple ways. a. Create and use representations to organize, record, and communicate mathematical ideas. b. Select, apply, and translate among mathematical representations to solve problems. c. Use representations to model and interpret physical, social, and mathematical phenomena.

Valdosta State University