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Web Resources Supporting the Maryland Voluntary State Curriculum
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Mathematics - Grade 1
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
1.Identify, describe, extend, and create numeric patterns
Objectives
a.Represent and analyze numeric patterns using skip counting by multiples of 2 and 10 starting with any whole number, and using manipulatives and the 100 chart
b. Represent and analyze numeric patterns using skip counting backward by 10s starting with a multiple of 10, and using manipulatives
Indicator
2. Identify, copy, describe, create, and extend non-numeric patterns
Objectives
a. Represent and analyze growing patterns kinesthetically such as: clap/snap, clap/snap/snap, clap/snap/snap/snap, ...
b. Represent and analyze repeating patterns using no more than 3 different objects in the core of the pattern
c. Transfer a repeating pattern from one medium to a different medium using no more than 3 different objects in the core of the pattern
d. Identify patterns in real life situations
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- Interactive Mathmatics: An incredible library of virtual manipulatives related to NCTM Algebra standards.
- AAA Math : Good explanition of concepts and opportunity for self correcting practice.
- Virtual Goose: Match the pattern the goose is pointing toward. An interactive game featuring Arthur.
- 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.
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Topic
B. Expressions, Equations, and Inequalities |
Indicator
1. Write and identify expressions
Objective
a. Represent numeric quantities using concrete and pictorial representations and operational symbols (+, -) with whole numbers to 20
Indicator
2. Identify, write, and solve equations and inequalities
Objectives
a. Represent relationships using the terms greater than, less than, and equal to for quantities up to 100
b. Find the missing number (unknown) in a number sentence using operational symbols (+, -) with whole numbers to 20 using pictures and manipulatives
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- 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.
- The Greedy Dog,an engaging lesson plan including a whole class activity and an introduction to graphs.
- The Secret Message: Thinkport's student activity center with a power point for instruction and other printable resources to find the missing number in a sequence. Excellent teacher resource section
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Topic
C. Numeric and Graphic Representations of Relationships |
Indicator
1. Locate points on a number line
Objective
a. Identify and represent whole numbers up to 50 on a number line using manipulatives and symbols
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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 apply the properties/attributes of plane geometric figures
Objectives
a. Identify, name, and compare triangles, circles, squares, rectangles, and rhombi by their attributes
b. Create models of triangles, circles, squares, and rectangles with varied materials
c. Combine and subdivide squares and triangles |
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Tangrams: Research Model developed by Baltimore County Public Schools(Visual//Tactilelearners)
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Buzzing with Shapes: Tic tac toe with shapes; drag the counter to the shape that has that amount of sidesin this graphically engaging applet.
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Topic
B. Solid Geometric Figures |
Indicator
1.Recognize and use the attributes of solid geometric figures
Objectives
a. Identify and compare cubes, spheres, cylinders, pyramids, cones, and rectangular prisms |
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Topic
C. Representation of Geometric Figures |
Indicator
1. Represent plane geometric figures
Objective
a. Sketch triangles, circles, squares, rectangles, and rhombi
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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. Identify congruent figures
Objective
a. Match congruent figures
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Topic
E. Transformations |
Indicator
1.Recognize a transformation
Objectives
a. Use the direction, location, and position words right and left
b. Apply spatial reasoning in activities such as: pattern block
c. Identify and demonstrate slides and flips using manipulatives
Indicator
2. Analyze geometric figures and pictures
Objective
a. Demonstrate symmetry in basic shapes and pictures by paper folding and drawing a line of symmetry
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- A Flash Film from the Association of Teachers of Mathematics (ATM) to demonstrate how tangrams can make different figures.
- Tangrams: Research Model developed by Baltimore County Public Schools. (Visual//Tactile learners)
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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.Read measurement units
Objectives
a. Read a calendar to identify days of the week and months of the year
b. Tell time in intervals of hours and half-hours using an analog clock
c. Compare the same time on analog and digital clocks
d. Read a thermometer to tell temperature to the nearest 10° F
e. Compare and order objects by weight in pounds using a spring scale and a bathroom scale |
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Topic
B. Measurement Tools |
Indicator
1. Measure in customary units
Objectives
a. Measure length of objects and pictures of objects to the nearest inch using a ruler
b. Identify and compare units of capacity using cups and gallons
c. Compare and order objects by weight in pounds using a spring scale and a bathroom scale
d. Describe the attributes of length, weight, and capacity |
- Count on Us: Engaging games designed to teach basic volume, length, and time along with other number concepts.
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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.Collect, organize, and display data
Objectives
a. Collect data by conducting surveys
b. Collect data on tally charts
c. Organize and display data to make picture graphs
d. Organize and display data to make single bar graphs |
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Topic
B. Data Analysis |
Indicator
1. Analyze data
Objectives
a. Interpret data contained in tables
b. Interpret data contained in picture graphs using a variety of categories with 1:1 intervals
c. Interpret data contained in single bar graphs
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Bar Graph Sorter: This applet allows the user to explore simple bargraphs through sorting shapes by color or shape into the graph. |
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. |
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Indicator
1. Identify possible outcomes
Objective
a. Recognize that a real life situation may have more than one outcome such as a coin having heads or tails
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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 and place value
Objectives
a. Use concrete materials to compose and decompose quantities up to 20
b. Identify multiple representations for a number, such as: 12, 6 + 6, dozen
c. Demonstrate instant recognition of quantities in patterned sets
d. Use the numbers of 5 and 10 as anchors in relationship to other numbers
e. Read, write, and represent whole numbers up to 100 and beyond using models, symbols, and words
f. Express whole numbers up to 99 using expanded form
g. Identify the place value of a digit in a whole number up to 99
h. Compare and order whole numbers up to 99 using terms such as: greater than, less than, equal to
i. Estimate quantities up to 50 and use the term "about"
j. Count to 100
k. Count forward and backward starting with numbers other than one
l. Use ordinal numbers to indicate position: first through tenth
Indicator
2. Apply knowledge of fractions
Objective
a. Read, write, and represent fractions as parts of a single region using symbols and models with denominators of 2 or 4
b. Read, write, and represent halves as parts of a set using pictures and models
Indicator
3. Apply knowledge of money
Objectives
a. Determine the value of a given set of mixed currency up to $1
b. Demonstrate monetary value using real or play coins
c. Compare the value of 2 sets of same currency up to $1.00
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Topic
C. Number Computation
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Indicator
1. Analyze number relations and compute
Objectives
a. Develop strategies for addition and subtraction basic facts such as: counting on, counting back, making ten, doubles, and doubles plus one
b. Solve a given word problem based on addition or subtraction situation
c. Identify the concept of inverse operation to addition and subtraction
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. AAA Math : Good explanition of concepts and opportunity for self correcting practice.
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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 |
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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 |
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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 |
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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 |
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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.
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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..
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