Web Resources Supporting the Maryland Voluntary State Curriculum

Topic
A. Patterns and Functions

Indicator
1. Identify, describe, extend, and create numeric patterns

a. Represent and analyze numeric patterns using skip counting by 2, 5, and 10 starting with any whole number and using whole numbers to 100

b. Represent and analyze numeric patterns using skip counting backward by 10s starting with any 2-digit whole number

c. Recognize a function table as a relationship between numbers

d. Complete a function table with a given one-operation rule (+, -) using whole numbers

Indicator
2. Identify, copy, describe, create, and extend non-numeric patterns

Objectives

a. Represent and analyze growing patterns that start at the beginning and show no more than 3 levels, and ask for the next level, using symbols, shapes, designs, and pictures

b. Represent and analyze repeating patterns using 3 different objects in the core of the pattern

c. Transfer a repeating pattern from one medium to 2 different media using no more than 3 different objects in the core of the pattern such as: red, green, red, green, ... A, B, A, B, ... , , , , ...

• PBS TeacherSource-Peddling Petals A resourceful pattern lesson plan.
• Interactive Mathmatics: An incredible library of virtual manipulatives related to NCTM Algebra standards. Number Crunchers-Monsters Do the Math: Excellent lesson plans from Thinkport to engage students to discover what a function is and how it works. Extensive teacher resources.
• AAA Math : Good explanition of concepts and opportunity for self correcting practice.

 

 

 

 

• Problem Pictures is about bringing mathematics to life with photograhs. Stiking photographs are combined with original quesitons and problems to challenge students at all levels.
• Pattern Generator: Determine and then continue the pattern generated in this graphically engaging applet.

Topic
B. Expressions, Equations, and Inequalities

Indicator
1. Write and identify expressions

Objective

a. Represent numeric quantities using operational symbols (+, -) and whole numbers to 25

Indicator
2. Identify, write, and solve equations and inequalities

Objectives

a. Represent relationships using appropriate relational symbols (>, <, =) and operational symbols (+, -) with whole numbers to 100

b. Find the missing number (unknown) in a number sentence using operational symbols (+, -) with whole numbers up to 50

• Pan Balance-Shapes: This double pan balance provides a hands-on opportunity in which to consider the concept of equivalence.
• AAA Math : Good explanition of concepts and opportunity for self correcting practice.
• Wizzkids: Choose to review concepts then take the test. Eye popping graphics and sounds make this a very engaging program.

Topic
C. Numeric and Graphic Representations of Relationships

Indicator
1. Locate points on a number line

Objective

a. Represent whole numbers up to 100 on a number line

• Chameleon Graphing: With the help of Sam the Chameleon, learn to find points on a number line and graph points in the coordinate plane.

Topic
A. Plane Geometric Figures

Indicator
1.Recognize and apply the properties/attributes of plane geometric figures

Objectives

a. Identify and describe sides and corners

b. Identify and describe quadrilaterals such as: squares, rectangles, rhombi

c. Identify and describe polygons by the number of sides such as: triangles, squares, rectangles, hexagons, octagons

d. Combine and subdivide squares, triangles, and rectangles to identify a new shape

• IC Shapes: See shapes in all sorts of pictures.
• Interactive Mathematics: A vast library of virtual manipulatives related to NCTM Geometry standards.
  Introduction to Geometry for Primary Sudents: An excellent resource of lessons with web links to manipulatives as well as printable activities.
• Mouse House:Hear the names of basic geometry shapes while dragging triangles, circles, squares, and rectangles to help Frank Lloyd Mouse build his house.
• Buzzing with Shapes: Tic tac toe with shapes; drag the counter to the shape that has that amount of sidesin this graphically engaging applet.
• 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

Objectives

a. Compare two- and three-dimensional shapes such as: square to a cube, square and rectangle to a rectangular prism.

• Introduction to Geometry for Primary Sudents: An excellent resource of lessons with web links to manipulatives as well as printable activities.

Topic
C. Representation of Geometric Figures

Indicator
1. Represent plane geometric figures

Objective

a. Sketch plane figures

• Pyramids and Cubes Use pipe cleaners and straws to construct a cube and a pyramid.
• 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
D. Congruence

Indicator
1. Compare congruent figures

Objective

a. Describe congruent figures as having the same size and shape

Topic
E. Transformations

Indicator
1. Recognize a transformation

Objectives

a. Apply visualization and spatial reasoning in activities such as: tangrams

b. Identify and demonstrate slides, flips, and turns

Indicator
2. Analyze geometric figures and pictures

Objective

a. Recognize that basic shapes have several lines of symmetry

b. Demonstrate symmetry in basic shapes and pictures by drawing 2 lines of symmetry

Tangrams: Research Model developed by Baltimore County Public Schools. (Visual//Tactile learners)

Patch Tool: Fit shapes together to form designs.

 

A Flash Film from the Association of Teachers of Mathematics (ATM) to demonstrate how tangrams can make different figures.

Topic
A. Measurement Units

Indicator
1. Read customary and metric measurement units

Objectives

a. Read the scale on a ruler to identify length, in inches

b. Tell time in intervals of 5 minutes using an analog clock

c. Compare the same time on analog and digital clocks

d. Read a thermometer to the nearest 5° (°F and °C) on a thermometer with a scale of 10° intervals

e. Identify and compare the weight of objects to the nearest pound

• Interactive Mathematics: A vast library of virtual manipulatives related to NCTM Measurement standards. Introduction to Measurement for Primary Students: An excellent resource of lessons with web links to manipulatives as well as printable activities.
• Clock Wise:Type in a time and the clock will run until it shows that time.
• Stop the Clock: An interactive board like game to learn time.

Topic
B. Measurement Tools

Indicator
1. Measure in customary and metric units

Objectives

a. Measure length of objects and pictures of objects using a ruler or tape measure to the nearest inch, centimeter, and foot

b. Measure capacity of objects using cup, pint, quart, liter, and gallon

c. Measure objects to the nearest pound and kilogram

d. Select and use appropriate units of measure for length/height, weight, and capacity

• Introduction to Measurement for Primary Students: An excellent resource of lessons with web links to manipulatives as well as printable activities.

Topic
C. Applications in Measurement

Indicator
1. Apply measurement concepts

Objectives

a. Develop the concept of perimeter by counting units around a picture or geometric shape

b. Develop the concept of area by counting square units within a picture or geometric shape

Indicator
2. Calculate to determine equivalent units

Objectives

a. Recognize equivalent units of 12 inches = 1 foot

• Introduction to Measurement for Primary Students: An excellent resource of lessons with web links to manipulatives as well as printable activities.

Topic
A. Data Displays

Indicator
1.Collect, organize, and display data

Objectives

a. Collect data by conducting surveys

b. Collect data in tables

c. Organize and display data to make pictographs using scales of 1:1 and 2:1

d. Organize and display data to make single bar graphs

• Interactive Mathematics: Virtual manipulatives related to NCTM standards.

Topic
B. Data Analysis

Indicator
1. Analyze data

Objectives

• Bar Graph Sorter: This applet allows the user to explore simple bargraphs through sorting shapes by color or shape into the graph.

Topic
A. Sample Space

Indicator
1. Identify possible outcomes

Objective

a. Identify some possible outcomes that make up the sample space such as on a number cube rolling a 2

• Interactive Mathematics: Virtual manipulatives related to NCTM standards.

Topic
A. Knowledge of Number and Place Value

Indicator
1. Apply knowledge of whole numbers and place value

Objectives

a. Use concrete materials to compose and decompose quantities up to 100

b. List multiple representations for a number

c. Develop a sense of the size of a number in relation to other numbers

d. Use the numbers of 10, 50, and 100 as anchors in relationship to other numbers

e. Read, write, and represent whole numbers using models, symbols, and words through 1000

f. Express whole numbers up to 999 using expanded form

g. Identify the place value of a digit in whole numbers up to 999

h. Compare and order whole numbers up to 999 using words and relational symbols ( >, <, =)

i. Estimate quantities up to 100 using a reference point such as 10 and the terminology "about"

j. Count forward by 2s, 5s, and 10s starting with numbers other than one

k. Count backward by 2s, 5s, and 10s from a multiple of that number

l. Use ordinal numbers to indicate position up to thirty-first

Indicator
2. Apply knowledge of fractions

Objective

a. Read, write, and represent fractions as parts of a single region using symbols or models with denominators of 2, 3, or 4

b. Read, write, and represent halves or fourths as parts of a set using symbols, words, and models

Indicator
3. Apply knowledge of money

Objectives

a. Determine the value of a given set of mixed currency up to $10

b. Represent money amounts up to $10

c. Compare the value of 2 sets of mixed currency up to $10

• Catch 10: Help BT Bear catch blocks in groups of 10.
• More, Less or the Same: Practice comparing amounts with this online game.
• Place Values See the place values of any number illustrated.
• Interactive Mathematics: An incredible library of virtual manipulatives for numbers and operations.
• AAA Math : Good explanition of concepts and opportunity for self correcting practice.

 

 

 

 

 

• The Greedy Dog, an engaging lesson plan including a whole class activity and an introduction to graphs.

 

 

 

• Wizzkids: Choose to review concepts then take the test. Eye popping graphics and sounds make this a very engaging program.

 

• Introduction to Fractions for Primary Students: An excellent resource of lessons with web links to manipulatives as well as printable activities.
• Region Relationships with Virtual Pattern Blocks: A NCTM lesson plan with links to hands on manipulative applets for students to use virtual fractions to problem solve and reason with fractions.

 

• Change Maker: A FunBrain acitivity where students add money to a virtual piggybank by figuring out the correct change.

 

• Math Mania: Solve money word problems.

 

• Fact Monster: All About Money All sorts of interesting facts about money

Topic
B. Number Theory

Indicator
1.Apply number relationships

Objectives

a. Build and describe models of even and odd numbers using concrete materials, and discuss the models

Topic
C. Number Computation

Indicator
1. Analyze number relations and compute

Objectives

a. Demonstrate proficiency with addition and subtraction basic facts using a variety of strategies

b. Add no more than 3 whole number addends with no more than 2 digits in each addend and a sum of no more than 100

c. Subtract whole numbers with no more than 2 digits in the minuend or the subtrahend

d. Solve word problems based on addition or subtraction situations

e. Write word problems for addition and subtraction situations

f. Add and subtract money amounts up to $1

g. Apply the concept of inverse operations to addition and subtraction

h. Build equal groups to model multiplication

i. Build groups that share equally for division

Indicator
2. Estimation

Objectives

a. Determine the reasonableness of sums and differences

 

 

 

 

• ArithmAttack: Choose an operation (add or subtract), and see how many computer-generated arithmetic problems you can answer in 60 seconds?
• Math Baseball: Where every correct answer scores a run!
• AAA Math : Good explanition of concepts and opportunity for self correcting practice.

 

 

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

• Aunty Math : Problem solving challenges to solve and then submit your thinking strategies.
• Identifying Key Words in Math Word Problems: Power Point tutorial that engagingly takes students through the process of identifying key words.
• Map Coloring-The Big Picture: Using one of the most famous proofs in mathematics (the Four Color Theorem) students will explore the question:What is the fewest number of colors I must use to color this map?

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

• Map Coloring-The Big Picture: Using one of the most famous proofs in mathematics (the Four Color Theorem) students will explore the question:What is the fewest number of colors I must use to color this map?
• Problem Pictures is about bringing mathematics to life with photograhs. Stiking photographs are combined with original quesitons and problems to challenge students at all levels.
• 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..