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Mathematics Grade 3

Standard 1: Students understand and use basic and advanced concepts of number and number of systems

Standard 2: Geometry and Spatial Sense

Standard 3: Data Analysis, Statistics, and Probability

Standard 4: Measurement

Standard 5: Algebra, Functions, and Patterns

Standard 1: Students understand and use basic and advanced concepts of number and number systems
NUMBERS, NUMBER RELATIONSHIPS, AND NUMBER SYSTEMS FLP Lessons Activity that Addresses this Benchmark
3.1.1 - Count and order numbers up to 10,000    
3.1.2 - Read and write numerals up to 10, 000    
3.1.3 - Represent numbers up to 10,000 in standard, expanded, and word form    
3.1.4 - Identify the odd and even whole numbers from 0 to 10,000    
3.1.5 - Identify place values from ten thousands through the hundredths place    
3.1.6 - Use appropriate symbols to compare whole numbers from 0-10,000; i.e., >,<,=    
3.1.7 - Use appropriate terms when communicating about computations; i.e., factor, product, divisor, dividend, quotient    
3.1.8 - Round numbers to tens, hundreds, and thousands    
3.1.9 - Represent fractions and mixed numbers using words, numerals, and physical models Don't Use It All Up! Students examine Earth's water supply, using fractions when describing the amounts of different types of water.
3.1.10 - Model, represent, and explain the concept of multiplication; i.e., repeated addition, rectangular arrays, and skip counting    
3.1.11 - Model, represent, and explain the concept of division; i.e., repeated subtractions, rectangular arrays, and equal sharing    
3.1.12 - Use a variety of methods and tools for problem solving; e.g. computing, including mental math, paper and pencil, calculator, manipulatives Don't Use It All Up! Students examine Earth's water supply, using fractions when describing the amounts of different types of water. A bowl of water and sponges are used to illustrate the amount of water and the impact human uses have on the water supply.
Germ Busters Students add and subtract while playing a "germ busters" game in which students play the roles of soap bubbles and germs, to illustrate the importance of properly washing their hands.
OPERATIONS AND THEIR PROPERTIES
3.1.13 - Add and subtract whole numbers between 0 and 10, 000    
3.1.14 - Model and use the commutative and associative properties of addition and multiplication    
3.1.15 - Apply the multiplication property of zero and one    
3.1.16 - Multiply two- and three-digit numbers by a single digit number Expression Connection Students assess and score the answers of other groups in a game that relates words and phrases to farming and four categories of agriculture. The frequency of phrases used is multiplied by either 10 or 5, depending on how many groups have used the phrase.
3.1.17 - Divide two- and three-digit numbers by a single digit number without remainders Gala Fiesta Jamboree Students use data from surveys about people's feelings and preferences regarding celebrations to determine frequencies and calculate and graph survey percentages.
3.1.18 - Demonstrate the inverse relationship between multiplication and division    
3.1.19 - Add and subtract simple fractions with like denominators; e.g., 1/4 + 2/4 = 3/4 Don't Use It All Up! Students add and subtract fractions that represent the Earth's water supply as they determine the amount of water that is available for the consumption of humans and animals.
COMPUTATIONAL FLUENCY AND ESTIMATION
3.1.20 - Recall multiplication and division facts (0-10)    
3.1.21 - Estimate whole number products and quotients    
3.1.22 - Use estimation to determine if solutions are reasonable    

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Standard 2: Geometry and Spatial Sense
TWO- AND THREE-DIMENSIONAL SHAPES, GEOMETRIC PROPERTIES AND RELATIONSHIPS FLP Lessons Activity that Addresses this Benchmark
3.2.1 - Compare physical attributes of two-dimensional shapes; i.e., square, triangle, rectangle, and parallelogram    
3.2.2 - Describe the characteristics of a cylinder, pyramid, cube, sphere, and cone    
3.2.3 - Identify points, endpoints, lines, line segments, rays, and angles and use symbols to represent them    
3.2.4 - Identify right angles    
COORDINATE GEOMETRY
3.2.5 - Use ordered pairs to identify the locations of points in a grid; e.g., A-10 on a map

Your School Ground Through New Eyes

Students map their school ground area, and use ordered pairs to identify the locations on the map.
TRANSFORMATION AND SYMMETRY
3.2.6 - Identify and create shapes that have lines of symmetry    
3.2.7 - Identify two-dimensional shapes that are congruent or similar    
VISUALIZATION, SPATIAL REASONING, AND GEOMETRIC MODELING
No new expectations at this level    

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Standard 3: Data Analysis, Statistics, and Probability
DATA COLLECTION, DISPLAY, AND INTERPRETATION FLP Lessons Activity that Addresses this Benchmark
3.3.1 - Identify different parts of a graph; i.e., label, scale, and data We're Into Pumpkins Students put collected data about pumpkins into a graph.
Buzzy, Buzzy Bee Students create various graphs to display the information about apples "produced" during various growing seasons.
Let's Celebrate! Students list and tally the total times that each celebration was selected during interviews. Students make a simple bar or picture graph to show favorite celebrations.
Germ Busters Students use the information that was recorded and put into graphs about the growth of microbes on three different potatoes. The students use the graphs to determine which potatoes grew the least microbes; the one handled by unwashed hands, the one handled by washed hands, or the not handled potato.
Lunchtime Favorites Students create Venn diagrams to help them compare and contrast information about the foods they eat.
Tomatoes to Ketchup. Chickens to Omelettes Students sort types of processed foods into groups based on the raw food source. They create Venn diagrams for processed foods made from more than one raw food.
Gala Fiesta Jamboree Students create frequency tables with information collected while exploring the role of celebrations in diverse cultures, their class and the local community.
3.3.2 - Display and interpret graphs with symbols or pictures that represent more than one object or event We're Into Pumpkins Students put collected data about pumpkins into a graph.
Buzzy, Buzzy Bee Students create various graphs to display the information about apples "produced" during various growing seasons.
Let's Celebrate! Students list and tally the total times that each celebration was selected during interviews. Students make a simple bar or picture graph to show favorite celebrations.
Germ Busters Students use the information that was recorded and put into graphs about the growth of microbes on three different potatoes. The students use the graphs to determine which potatoes grew the least microbes; the one handled by unwashed hands, the one handled by washed hands, or the not handled potato.
Gala Fiesta Jamboree Students create frequency tables with information collected while exploring the role of celebrations in diverse cultures, their class and the local community.
3.3.3 - Solve problems based in data displayed on a graph Germ Busters Students use the information that was recorded and put into graphs about the growth of microbes on three different potatoes. The students use the graphs to determine which potatoes grew the least microbes; the one handled by unwashed hands, the one handled by washed hands, or the not handled potato.
3.3.4 - Recognize the elements in the union and intersection of sets represented by Venn diagrams Tomatoes to Ketchup. Chickens to Omelettes Students sort types of processed foods into groups based on the raw food source. They create Venn diagrams for processed foods made from more than one raw food.
Lunchtime Favorites Students create Venn diagrams to help them compare and contrast information about the foods they eat.
PROBABILITY
3.3.5 - Use a simple probability experiment to collect data, display the data in a graph, and interpret the likelihood of the outcome Germ Busters Through a controlled experiment, students learn one way bacteria can be spread and the importance of hand washing for personal hygiene and food safety. Students record and analyze the results from their experiment and predict, observe and summarize the experimental results on observation sheets.
STATISTICAL METHODS
No expectations at this time    
PREDICTIONS, DATA ANALYSIS AND INFERENCES
3.3.6 - Determine which outcomes are most likely to occur in certain situations; e.g., spinning red in most likely to occur when the spinner is divided among red, blue, green, red Don't Use It All Up! Students examine Earth's water supply. A bowl of water and sponges are used to illustrate the amount of water and the impact humans uses have on the water supply. The students predict how much water will be left at the end of their experiment.
Germ Busters Students predict the outcome of an experiment about microbial growth. Three potatoes are used in the experiment, one that is not handled, one that is handled with unwashed hands and one that is handled with washed hands.

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Standard 4: Measurement
MEASURABLE ATTRIBUTES, MEASUREMENT SYSTEMS AND UNITS FLP Lessons Activity that Addresses this Benchmark
3.4.1 - Tell time to the nearest minute using digital and analog clocks    
3.4.2 - Determine elapsed time by the hour Germ Busters Students conduct an experiment about microbial growth on three potatoes, one that has not been handled, one that has been handled by unwashed hands and one that has been handled by washed hands. The potatoes are observed over a period of hours, then days, as the bacteria grows on the potatoes,
3.4.3 - Count coins and bills    
3.4.4 - Read and measure temperature with a thermometer using Fahrenheit and Celsius scales    
3.4.5 - Estimate and measure to the nearest half inch or centimeter We're Into Pumpkins Students work together in groups to estimate, and then measure the circumference, diameter and height of their pumpkin.
3.4.6 - State specific relationships between units within the same measuring system; e.g., hours in a day, inches in a foot, cups in a pint Don't Use It All Up! Students conduct an activity that illustrates the demands placed on the worlds water supply. The students determine the appropriate units for the water used in their activity, so that they correspond accordingly to the worlds water supply.
Germ Busters Students time each other washing hands as part of an experiment about microbial growth and in an effort to encourage proper hand washing. As they time each other they can relate the seconds to minutes and minutes to hours.
We're Into Pumpkins Students work together in groups to estimate, and then measure the circumference, diameter and height of their pumpkin. Measurements can be converted from feet to inches, etc.
3.4.7 - Estimate and measure perimeter, area, and volume using links, tiles, grid paper, geoboards, and dot paper We're Into Pumpkins Students work together in groups to estimate, and then measure the circumference, diameter and height of their pumpkin.
Your School Ground Through New Eyes Students measure distances in the school ground in order to draw an accurate map of the area.
MEASUREMENT TOOLS, TECHNIQUES, AND FORMULAS
3.4.8 - Select a variety of tools for measuring length, weight, and capacity We're Into Pumpkins Students work together in groups to estimate, and then measure the circumference, diameter and height of their pumpkin.
Your School Ground Through New Eyes Students measure distances in the school ground in order to draw an accurate map of the area.

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Standard 5: Algebra, Functions, and Patterns
PATTERNS, RELATIONS, AND FUNCTIONS FLP Lessons Activity that Addresses this Benchmark
3.5.1 - Use patterns to solve problems    
3.5.2 - Create patterns using multiplication    
3.5.3 - Determine the missing elements of a patter of multitudes    
NUMERIC AND ALGEBRAIC REPRESENTATIONS
3.5.4 - Solve addition, subtractions, multiplication, and division equations with unknown numbers; e.g., 8 x ? = 56    
MATHEMATICAL MODELING
3.5.5 - Use symbols to write number sentences;, +, -, >, <, =, x, and ÷    
RATES OF CHANGE
No new expectations at this level    

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ND Agriculture Mission:
To cultivate an understanding of the interrelationship of agriculture, the environment and people by integrating agriculture into K-12 education.

Questions? Comments?
Contact ndda@nd.gov or (701) 328-2231.