# Math Unit Overviews

Math Investigations Unit 8:  How Many Hundreds? How Many Miles? Addition and Subtraction
This unit is the fourth numbers and operations unit in the third grade.  This unit focuses on addition and subtraction with larger numbers.  This unit emphasizes two main points:

• Computational Fluency to find the most accurate and efficient strategies in addition and subtraction.

• Describing, analyzing, and comparing strategies for adding and subtracting whole numbers

How can you help at home?

• Work with basic addition and subtraction flash cards to help build fluency.

• Show your child how you learned addition and subtraction growing up.  The goal is to provide them with many strategies to find what works best for them.

• Continually work with your child on their multiplication flash cards
Math Investigations Unit 7:  Finding Fair Shares
This unit covers the development of ideas about understanding, representing, and combining fractions and decimals.  In this unit, students will:
• Understand the meaning of fractions as equal parts of the whole

• Use representation to combine fractions

• Divide an area into equal parts

• Name fractional parts with unit fractions

• Order fractions from least to greatest, greatest to least

• Use mixed numbers to represent quantities greater than one.

How can you help at home?

• Discuss the meaning of half in their everyday world

• What does it look like when you split food into equal shares for your family?

• How do you all know you are getting an equal amount?

• If there are ____ in your family and you are all splitting _____, then what fraction is each person getting?
Math Investigations Unit 6:  Stories, Tables and Graphs
In this unit, students dig deeper into analyzing graphs and patterns within graphs. Students focus on using graphs to represent change, describing the overall shape of a line graph using comparative words.  Students also focus on noticing relationships between two or more sets of data and ways to show the same situation in different representations. This unit focuses a lot on patterns and sequences, showing how temperatures fall and rise throughout time.
How can you help at home?
• Discuss temperature changes and comparisons to other areas in the world.
• Keep a temperature gauge or thermometer outside the window at home and have your child read in both Fahrenheit and Celcius.
• Research on weather.com or other weather websites areas around the world.  Since we don’t have seasonal patterns here in Bangkok, it’s great to show students weather patterns from, for example, your home country
Math Investigations Unit 5:  Equal Groups
Students develop an understanding of multiplication as combining a number of equal groups and division as splitting a quantity into equal groups. Students describe patterns in sets of multiples, and compare sets of multiples to each other. Students represent multiplication and division situations with a variety of models and representations. Students achieve fluency with multiplication combinations with products to 50 and consider the relationship between multiplication and division. Multiplicative thinking is essential for understanding geometry, proportional reasoning and algebraic thinking.
How can you help at home?
• Keep a set of multiplication flash cards around the house and have your student practice with a friend or family member.
• Point out object that have groups of things: eggs in a carton, legs on an animal, wheels on a car, etc… Challenge them with a multiplication problem.
Math Investigations Unit 4: Perimeter, Angles and Area
This unit is the first unit in Grade three that focuses on geometry and measurement.  This unit helps to develop ideas about the attributes of 2D and 3D shapes, as well as helping students understand how these attributes determine their classification.  This unit also focuses on linear measurement, measurement of angles, and volume.  Students will:
• use both US standard and metric units to accurately measure length
• describe and classify 2 and 3 dimensional shapes using geometric vocabulary (congruent, vertex, quadrilateral, angle, etc..)
• Describe and measure angles
• compare sizes of angles
How can you help at home?
• Notice shapes all around you when you are out with your child.  Ask them about shapes they notice in our real world (on signs, buildings, shopping, etc…)
• observe and point out 90 degree angles.  Where are they?  How do they know it’s 90 degrees?
• Ask questions about geometry and measuring: What do you know?  What are some new vocabulary words you learned?  Why did you measure it this way?  Why do you think this?
• When calculating something new or measuring something, ask your child to help.  Have them become familiar with measuring tools: measuring tape, cooking utensils, yard/metersticks, rulers
Use these websites to help with math at home:
https://investigations.terc.edu/families/doing_math/sampleactivities.cfm
https://investigations.terc.edu/families/doing_math/book_resources_fam.cfm
https://investigations.terc.edu/families/doing_math/Games_index.cfm
Math Investigations Unit 3: Collections and Travel Stories
This unit focuses on place value and the operations of addition and subtraction.  This unit supports and extends Unit 1: Trading Stickers.  Unit 3 develops ideas about the meaning of operations with whole numbers, the growth of computational fluency, the structure of place value, and the base ten number system.  Students will:
• read, write, and sequence numbers to 1,000
• use place value to determine the size of any number to 1,000
• increase their understanding of the place value system as they extend their work into 3-digit numbers up to 1,000
• estimate sums of 2 and 3 digit numbers
• Finding differences in 2 and 3 digit subtraction problems

Ways to help at home

• Review basic addition and subtraction problems and test their skill level
• Practice flash cards sorting those that your child is quick with and those that they might need more help with.
• When shopping, have your child help you with counting money and deciding how much you should give and how much change you should receive.
• Look for different strategies your child used to solve problems.  Have them explain why he or she used this strategy.
Special Note:  We have extended Unit 1 until the end of the week:  Unit 2 will begin 10 Sept 2012.

Math Investigations Unit 2: Surveys & Line Plots, Data Analysis
In this unit, students collect, represent, describe, categorize, and interpret both categorical and numerical data. They begin the important work of seeing a data set as a whole as they design and carry out their own data investigations, create representations of the data collected, and compare and discuss these representations. Students draw conclusions about the data by identifying characteristics in their representations. (Where is most of the data clumped? Where is the mode?)

• play guessing games about attributes and categories. One player lists things that belong to a category, and other players try to guess the category. For example, if the secret category is “things that are green,” the person may say “grass, inchworms, dollar bills …… “
• Investigate a Topic: Think of a question you want to answer about something in your house or your neighborhood. Collect data that will give you some information about your question. One investigation might be “How many times a day does our family use water?”
• Look for examples of graphs in newspapers and magazines. Talk with your child about what these graphs represent. What do these graphs communicate? Discuss what choices the graph maker made and why the graph maker might have made these choices. What other choices might you make if you were creating a graph that represented these data?

Math Investigations Unit 1: Trading Stickers and Combining Coins
This unit will hone in on addition, subtraction, and place value.  The numbers in this unit will deal with the ones, tens, and hundreds and later in the year, we will build upon these numbers to learn the thousands and ten thousands.  During class time, we will be discussing problems in depth, using rich mathematical vocabulary, and sharing our reasoning and solutions.