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Mathematics Grade 4

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
4.1.1 - Identify place values from hundred thousands through the hundredths place	From Sea to Shining Sea	Students compute the commodity cash receipts for the top five and bottom five agriculture producing states in the nation.
4.1.2 - Order and compare using symbols; i.e., >,<,=, whole numbers (0-100,000) and decimals to hundredths	We're Into Pumpkins	Students count the seeds contained within a pumpkin (often hundreds) during an investigation of pumpkins., then compare the amount of seeds from each pumpkin. They determine if the size of the pumpkin makes a difference in the number of seeds.
	Be Label Able	Students use > and < when comparing nutritional information of various cereals.
	Buzzy, Buzzy Bee	Students count apples "produced" during a game that teaches about pollination.
	Chewsy Choices	Students record the servings and kinds of food that they eat throughout a day, then transfer those items to the appropriate space on a Food Guide Pyramid. They then compare their own diet to what is recommended by the Food Guide Pyramid.
	What's the Shape of Your Diet?	Students record the servings and kinds of food that they eat throughout a day, then compare the actual number of servings consumed with the suggested servings in the Food Guide Pyramid.
4.1.3 - Read and write numerals to 100,000
4.1.4 - Round whole numbers to the nearest tens, hundreds, ten thousands, and hundred thousands
4.1.5 - Represent numbers up to hundred thousands in standard and expanded forms
4.1.6 - Write tenths and hundredths as decimals and fractions	We're Into Pumpkins	Students work together in groups to estimate, and then measure the circumference, diameter and height of their pumpkin. Numbers are then rounded to the desired decimal place.
	From Sea to Shining Sea	Students identify the top five commodities for each agricultural region, then compute the commodity cash receipts for the top five and bottom five states.
	What Piece of the Pie?	Students predict and compare the expenses of retailing a food product, then, given the range for each expense, compute the average.
4.1.7 - Compare equivalent decimals and fractions, e.g., 5/10 = .5
4.1.8 - Use appropriate terms when communicating about computations; i.e., numerator and denominator	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.
	We're Into Pumpkins	Students work together in groups to estimate, and then measure the circumference, diameter and height of their pumpkin. Throughout the process they are to use the appropriate terms in their work.
	Be Label Able	Students graph the weight of several nutritional components identified on cereal box labels to select the healthiest cereal. Throughout the process they use the appropriate terms in their work.
4.1.9 - Explain the meaning of remainders in real world situations
4.1.10 - Determine what information is relevant for solving a problem	What Piece of the Pie?	Students predict and compare the expenses of retailing a food product, then, given the range for each expense, compute the average.
	Be Label Able	Students graph the weight of several nutritional components identified on cereal box labels to select the healthiest cereal. They use this information to design and market a new healthy cereal.
	What's the Shape of Your Diet?	Students identify nutrients provided by each food group and how the nutrients help people grow and develop and evaluate whether he or she has a nutritionally sound diet.
	Germ Busters	Students play a "germ buster" game in which students play the roles of soap bubbles and germs. Strategic thinking is required in order for the soap bubbles to change the germs into soap.
4.1.11 - Use a variety of strategies to solve problems; e.g., guess and check, work backwards, draw pictures, use objects	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 humans uses have on the water supply.
	By the Way	Students solve problems determining relationships among by-products of cattle.
	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
4.1.12 - Add and subtract whole numbers between 0 and 100,000	Chewsy Choices	Students keep track of food and food groups eaten, then compare to daily requirements.
	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.
	Expression Connection	Students tally points earned in a word association game.
	Feed the Need	Students earn "money" for homework, participation in class, etc. which they use to purchase food to gain a better understanding of poverty and hunger in the world.
	Let's Celebrate	Students survey friends and family about their favorite holidays, then list and tally the times each celebration was selected. They then total the results.
	What Piece of the Pie?	Students predict and compare the expenses of retailing a food product, then given the range for each expense, compute the average.
	Gala Fiesta Jamboree	Students tally results from exploring the role of celebrations in diverse cultures, their class and the local community.
4.1.13 - Multiply multi-digit numbers by two-digit number
4.1.14 - Divide multi-digit numbers by a single-digit number
4.1.15 - Add and subtract fractions and mixed numbers with like denominators	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 human and animal consumption.
	What Piece of the Pie?	Students predict and compare the expenses of retailing a food product, then, given the range for each expense, compute the average.
	Be Label Able	Students graph the weight of several nutritional components identified on cereal box labels to select the healthiest cereal. They use this information to design and market a new healthy cereal.
	What's the Shape of Your Diet?	Students collect data on the foods they eat during a 24 hour period and compare their food consumption to the Food Guide Pyramid to determine if their food choices create a nutritionally sound diet. Fractions will be used in some cases to show actual vs. ideal.
4.1.16 - Add and subtract decimals	Feed the Need	Students work with coins, which they must spend on food, to gain a better understanding of the distribution of income as it relates of buying food. As the students spend their money on food, they are adding and subtracting decimals.
4.1.16 - Add and subtract decimals	What Piece of the Pie?	Students predict and compare the expenses of retailing a food product, then, given the range for each expense, compute the average.
4.1.17 - Use the distributive property to simplify and perform computations	What Piece of the Pie?	Students predict and compare the expenses of retailing a food product, then, given the range for each expense, compute the average.
COMPUTATIONAL FLUENCY AND ESTIMATION
4.1.18 - Determine when a rounded solution is appropriate	What Piece of the Pie?	Students predict and compare the expenses of retailing a food product, then, given the range for each expense, compute the average.
4.1.19 - Estimate computations of whole numbers, fractions, and decimals	We're Into Pumpkins	Students work together in groups to estimate, and then measure the circumference, diameter and height of their pumpkin.
	What Piece of the Pie?	Students predict and compare the expenses of retailing a food product, then, given the range for each expense, compute the average.

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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
4.2.1 - Analyze the attributes of two- and three-dimensional shapes ( i.e., circle, squares, trapezoid, rhombus) and use vocabulary to describe the attributes	What's the Shape of Your Diet?	Students create a shape that represents his or her personal food choices, using the Food Guide Pyramid as a model.
4.2.2 - Identify, describe, and model (e.g., using straws or other materials) parallel, perpendicular, and intersecting lines and line segments
COORDINATE GEOMETRY
No new expectations at this level (see grade 3)
TRANSFORMATION AND SYMMETRY
4.2.3 - Recognize the changes in position and orientation of two-dimensional figures after transformations; i.e., flips (reflections), turns (rotations), and slides (translations)
4.2.4 - Use motion geometry to show that shapes 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
4.3.1 - Determine a sample group to survey	It All Starts With A	Students conduct surveys to learn what agriculture provides to people. They organize, simplify, and communicate their findings using tallies, frequency tables & histograms.
	Let's Celebrate!	Students interview friends and family about their favorite celebrations. The students keep a list of the celebrations selected as favorites.
	Gala Fiesta Jamboree	Student's create frequency tables with information collected while exploring the role of celebrations in diverse cultures, their class, and the local community.
	Why I Buy	Students develop questions for a data collection survey form about consumer purchasing decisions. They will then select a group of people to survey.
4.3.2 - Collect and record data	We're Into Pumpkins	Students organize collected data about pumpkins into graphs, then interpret the information.
	Let's Celebrate!	Students interview friends and family about their favorite celebrations. The students keep a list of the celebrations selected as favorites.
	Don't Use It All Up!	Student's conduct an activity which illustrates the demands that the worlds population places on the water supply. They collect and record data in order to better see the difference made by conservation efforts.
	Buzzy, Buzzy Bee	Students collect and record data about the production of apples during a game that illustrates the pollination process.
	It All Starts With A	Students conduct surveys to learn what agriculture provides to people. They organize, simplify, and communicate their findings using tallies, frequency tables & histograms.
	Gala Fiesta Jamboree	Student's create frequency tables with information collected while exploring the role of celebrations in diverse cultures, their class, and the local community.
	Why I Buy	Students are made aware of the external influences they receive when making purchasing decisions. After examining those influences, the students will conduct their own consumer preference trials. After collecting , graphing and analyzing the data, students will decide which brand of a product they will buy and why.
	What Piece of the Pie?	Students predict and compare the expenses of retailing a food product, then, given the range for each expense, compute the average.
	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.
4.3.3 - Organize and display data in line graphs and circle graphs	We're Into Pumpkins	Students organize collected data about pumpkins into graphs, then interpret the information.
	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.
	Let's Celebrate!	Students list and tally the total time that each celebration was selected during interviews. Students make a simple bar or picture graph to show favorite celebrations.
	Don't Use It All Up	Students utilize or create their own pie chart that represents Earth's total supply of water and illustrates how the water is distributed.
	Germ Busters	Students display the data recorded on the growth of microbes on three different potatoes in graphs in order to better understand how germs grow and the importance of properly washing hands to kill germs.
	Lunchtime Favorites	Students create Venn diagrams to help them compare and contrast information about the foods they eat.
	It All Starts With A	Students conduct surveys to learn what agriculture provides to people. They organize, simplify, and communicate their findings using tallies, frequency tables & histograms.
	Buzzy, Buzzy Bee	Students create various graphs to display the information about apples "produced" during various growing seasons.
	From Sea to Shining Sea	Students create graphs depicting the top five commodities nationally and compute the commodity cash receipts for the top five and the bottom five states.
	Be Label Able	Students graph the weight of several nutritional components identified on cereal box labels to select the healthiest cereal.
	What Piece of the Pie?	Students explore the economics of consumer food products by analyzing who gets what portion of the price we pay for our food and creating, reading and interpreting pie charts and graphs.
	By the Way	Students display information about the relationships of cattle by-products in Venn diagrams.
	Why I Buy	Students are made aware of the external influences they receive when making purchasing decisions. After examining those influences, the students will conduct their own consumer preference trials. After collecting, graphing and analyzing the data, students will decide which brand of a product they will buy and why.
4.3.4 - Read, interpret, and generate questions from data displayed in graphs; i.e., line graphs and circle graphs	We're Into Pumpkins	Students use data to help determine if and how the height and circumference of a pumpkin affect the weight, etc.
	Don't Use It All Up	Students utilize or create their own pie chart that represents Earth's total supply of water and illustrates how the water is distributed.
	Germ Busters	Students read and interpret the data from the graphs they created about the growth of microbes on three different potatoes in order to better understand how germs grow and the importance of properly washing hands to kill germs.
	From Sea to Shining Sea	Students create graphs depicting the top five commodities nationally and compute the commodity cash receipts for the top five and the bottom five states.
	What Piece of the Pie?	Students explore the economics of consumer food products by analyzing who gets what portion of the price we pay for our food and creating, reading and interpreting pie charts and graphs.
	Be Label Able	Students graph the weight of several nutritional components identified on cereal box labels to select the healthiest cereal. They use this information to design and market a new healthy cereal.
	What's the Shape of Your Diet?	Students collect data on the foods they eat during a 24 hour period. They use their food choices to create a shape that represents their diet, modeled after the Food Guide Pyramid. The shape of their diet will help them to determine if their food choices create a nutritionally sound diet.
	It All Starts With A	Students gather and graph data from a survey he or she conducts about why agriculture is important to people and read, interpret and communicate information through tables and graphs.
	Why I Buy	Students are made aware of the external influences they receive when making purchasing decisions. After examining those influences, the students will conduct their own consumer preference trials. After collecting, graphing and analyzing the data, students will decide which brand of a product they will buy and why.
4.3.5 - Use computers and spreadsheets to organize and display data	We're Into Pumpkins	Students work together in groups to estimate, and then measure the circumference, diameter and height of their pumpkin. The data can then be organized on a spreadsheet.
	What Piece of the Pie?	Students predict and compare the expenses of retailing a food product, then given the range for each expense, compute the average. The students can then organize their data in a spreadsheet.
	Germ Busters	Students use computers to display the data recorded on the growth of microbes on three different potatoes in graphs in order to better understand how germs grow and the importance of properly washing hands to kill germs.
	Why I Buy	Students collect data on the factors that affect consumer purchasing decisions, then display it in a graph using a spreadsheet.
4.3.6 - Use number lines and coordinate graphs to represent data	We're Into Pumpkins	Students work together in groups to estimate, and then measure the circumference, diameter and height of their pumpkin. The data can then be illustrated using number lines and coordinate graphs.
	What Piece of the Pie?	Students predict and compare the expenses of retailing a food product, then given the range for each expense, compute the average. Students can then organize their data in line graphs.
	Why I Buy	Students collect data on the factors that affect consumer purchasing decisions, then display it in a graph.
	Germ Busters	Students use number lines to display the data recorded on the growth of microbes on three different potatoes in graphs in order to better understand how germs grow and the importance of properly washing hands to kill germs.
PROBABILITY
4.3.7 - Conduct simple probability experiments
STATISTICAL METHODS
4.3.8. - Determine or calculate the mode, mean/average, and range for a data set	What Piece of the Pie?	Students predict and compare the expenses of retailing a food product, then given the range for each expense, compute the average.
	It All Starts With A	Students gather and graph data from a survey he or she conducts about why agriculture is important to people and calculate the mode, mean/average and range for the data set.
	Gala Fiesta Jamboree	Students survey friends and family about holidays and use the data to determine frequencies to discover peoples feelings and preferences about celebrations.
	We're Into Pumpkins	Students work together in groups to estimate, and then measure the circumference, diameter and height of their pumpkin. The class can then calculate the mode, mean and range of the results.
PREDICTIONS, DATA ANALYSIS AND INFERENCES
4.3.9 - Make predictions and draw conclusions from simple probability experiments	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.
	By the Way	Students make predictions about how cattle by-products are related to each other before they know that they are by-products of cattle.
	Why I Buy	Students collect data on factors affecting consumer purchasing decision, then evaluate a food product by hypothesizing, gathering and displaying data, and drawing conclusions.
	From Sea to Shining Sea	Students identify the top five commodities for each agricultural region, then compute the commodity cash receipts for the top five and bottom five states.

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Standard 4: Measurement
MEASURABLE ATTRIBUTES, MEASUREMENT SYSTEMS AND UNITS	FLP Lessons	Activity that Addresses this Benchmark
4.4.1 - State specific relationships between units within the same measuring system; e.g., feet to yards, minutes to hours, milliliters to liters	Don't Use It All Up!	Students conduct an activity that illustrates the demands placed on the world's 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.
	What's the Shape of Your Diet?	Students record and list the actual serving sizes of the foods that they eat. In recording serving sizes they are able to use the relationships between units in the same measuring system. This information is used by the students to create a shape that represents the shape of their diet (using the Food Guide Pyramid as a model).
	Be Label Able	Students graph the weight of several nutritional components identified on cereal box labels to select the healthiest cereal. They relate units in the same measuring system in the designing a new and healthy cereal.
4.4.2 - Estimate and measure length to the nearest quarter inch	We're Into Pumpkins	Students measure height and circumference of pumpkins.
	Your School Ground Through New Eyes	Students measure distances in the school ground in order to draw an accurate map of the area.
4.4.3 - Analyze relationships between perimeter and area	Your School Ground Through New Eyes	Students analyze relationships between perimeter and area while measuring the school ground to create an accurate map.
4.4.4 - Make change up to $20
4.4.5 - Apply the concept of elapsed time; i.e., schedules, and calendars	Germ Busters	Students record data on the growth of microbes on three different potatoes at one week intervals, in order to better understand how germs grow and the importance of properly washing hands to kill germs.
MEASUREMENT TOOLS, TECHNIQUES, AND FORMULAS
4.4.6 - Select appropriate units for measuring perimeter, area, and volume	We're Into Pumpkins	Students work together in groups to estimate, and then measure the circumference, diameter and height of their pumpkin.
	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.
	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
4.5.1 - Determine the missing elements of complex repeating patterns
NUMERIC AND ALGEBRAIC REPRESENTATIONS
4.5.2 - Explain that variables represent unknowns
MATHEMATICAL MODELING
4.5.3 - Solve problems with variables	Why I Buy	Students collect data on factors affecting consumer purchasing decision, then evaluate a food product by hypothesizing, gathering and displaying data, and drawing conclusions.
4.5.3 - Solve problems with variables	What's The Shape of Your Diet?	Students record the serving of food that they consume throughout the day and compare the actual number consumed with the number of servings recommended in the Food Guide Pyramid.
4.5.4 - Use parentheses in solving simple equations
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.