Web Resources Supporting the Maryland Voluntary State Curriculum

Mathematics - Pre-K

Algebra | Geometry | Measurement | Statistics | Probability | Number | Process

ALGEBRA

Standard 1.0 Knowledge of Algebra, Patterns, and Functions
Students will algebraically represent, model, analyze, or solve mathematical or real-world problems involving patterns or functional relationships.
Topic
A. Patterns and Functions
Indicator
2. Identify, copy, and extend non-numeric patterns

Objectives

a. Match patterns kinesthetically such as: clap/snap/clap...

b. Recognize simple patterns

c. Represent simple repeating patterns using no more than 2 different objects, and different actions in the core of the pattern

d. Continue a simple pattern

e. Create a simple pattern of 2 different objects when given the rule

f. Identify patterns in real-world situations

Topic
B. Expressions, Equations, and Inequalities
Indicator
2. Identify inequalities

Objective

a. Explore relationships by comparing groups of no more than 5 objects to determine more or less
 

GEOMETRY

Standard 2.0 Knowledge of Geometry
Students will apply the properties of one-, two-, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects.
Topic
A. Plane Geometric Figures

Indicator
1. Recognize and use the attributes of plane geometric figures

Objectives

a. Sort objects by one attribute such as: shape, color, and size
b. Name the attributes of plane figures such as: shape, color, size
c. Match triangles, circles, and squares
d. Identify triangles, circles, and squares in the environment
  • Geometry through Art: A wonderful assortment of lesson ideas, facilitation suggestions, lists of materials needed, and handouts for you to photocopy. The artist, Mr. Shapiro, focuses on the student as investigator, learning through doing, and using perception to stimulate the motivation for more developed concepts and language..
Topic
B. Solid Geometric Figures

Indicator
1.Recognize and use the attributes of solid geometric figures

Objectives

a. Sort objects by one attribute such as: size, shape, weight, length
b. Find solid figures in the environment
  
Topic
E. Transformations

Indicator
1. Begin to recognize a transformation

Objectives

a. Tell position by using words such as: over, under, above, on, next to, below, beside, behind
b. Recognize a slide using concrete materials
  

MEASUREMENT

Standard 3.0 Knowledge of Measurement
Students will identify attributes, units, or systems of measurements or apply a variety of techniques, formulas, tools or technology for determining measurements.
Topic
A. Measurement Units
Indicator
1. Recognize and use measurement attributes

Objectives

a. Demonstrate an understanding of comparative attributes such as: bigger, smaller, longer, shorter, lighter, heavier, shorter, taller, hotter, colder
b. Compare and describe objects according to a single attribute
Interactive Mathematics: A vast library of virtual manipulatives related to NCTM Measurement standards.
Topic
B. Measurement Tools
Indicator
1. Measure in non-standard units

Objectives

a. Measure length of objects
b. Explore the capacity of containers
c. Explore the weight of objects
  

STATISTICS

Standard 4.0 Knowledge of Statistics
Students will collect, organize, display, analyze, or interpret data to make decisions or predictions.
Topic
A. Data Displays
Indicator
1. Explore and display data

Objectives

a. Explore data by answering a yes/no question
b. Display data on real graphs
c. Display data on picture graphs
Topic
B. Data Analysis
Indicator
1. Analyze data

Objective

a. Talk about data from real graphs to answer a question such as: Which category has the most?
  

PROBABILITY

Standard 5.0 Knowledge of Probability
Students will use experimental methods or theoretical reasoning to determine probabilities to make predictions or solve problems about events whose outcomes involve random variation.
   

NUMBER

Standard 6.0 Knowledge of Number Relationships and Computation/Arithmetic
Students will describe, represent, or apply numbers or their relationships or will estimate or compute using mental strategies, paper/pencil or technology.
Topic
A. Knowledge of Number and Place Value
Indicator
1. Apply knowledge of whole numbers

Objectives

a. Build concept of number
b. Show an understanding of quantity

c. Construct relationships based on quantity

d. Use classroom experiences to indicate same, more, or less

e. Count and discuss quantity

f. Use concrete materials to build sets 0 to 5

g. Match a numeral to a set 0 to 5

h. Count to 10

i. Use ordinal words to indicate position such as: first, next, last

PROCESS

Standard 7.0 Process of Mathematics
Students demonstrate the processes of mathematics by making connections and applying reasoning to solve problems and to communicate their findings.
Topic
A. Problem Solving
Indicator
1. Apply a variety of concepts, processes, and skills to solve problems

Objectives

a. Identify the question in the problem
b. Decide if enough information is present to solve the problem
c. Make a plan to solve a problem
d. Apply a strategy, i.e., draw a picture, guess and check, finding a pattern, writing an equation
e. Select a strategy, i.e., draw a picture, guess and check, finding a pattern, writing an equation
f. Identify alternative ways to solve a problem
g. Show that a problem might have multiple solutions or no solution
h. Extend the solution of a problem to a new problem situation
  
Topic
B. Reasoning
Indicator
1. Justify ideas or solutions with mathematical concepts or proofs

Objectives

a. Use inductive or deductive reasoning

b. Make or test generalizations
c. Support or refute mathematical statements or solutions
d. Use methods of proof, i.e., direct, indirect, paragraph, or contradiction
  
Topic
C. Communications
Indicator
1. Present mathematical ideas using words, symbols, visual displays, or technology

Objectives

a. Use multiple representations to express concepts or solutions
b. Express mathematical ideas orally
c. Explain mathematically ideas in written form
d. Express solutions using concrete materials
e. Express solutions using pictorial, tabular, graphical, or algebraic methods
f. Explain solutions in written form
g. Ask questions about mathematical ideas or problems
h. Give or use feedback to revise mathematical thinking
  
Topic
D. Connections
Indicator
1. Relate or apply mathematics within the discipline, to other disciplines, and to life

Objectives

a. Identify mathematical concepts in relationship to other mathematical concepts

b. Identify mathematical concepts in relationship to other disciplines

c. Identify mathematical concepts in relationship to life

d. Use the relationship among mathematical concepts to learn other mathematical concepts
  • Geometry through Art: A wonderful assortment of lesson ideas, facilitation suggestions, lists of materials needed, and handouts for you to photocopy. The artist, Mr. Shapiro, focuses on the student as investigator, learning through doing, and using perception to stimulate the motivation for more developed concepts and language..