# Unit: Word Problems for fifth-graders

CCSS.MATH.CONTENT.4.NF.A.2 Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2

CCSS.MATH.CONTENT.5.NBT.A.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

CCSS.MATH.CONTENT.5.NBT.A.3.A Read and write decimals to thousandths

CCSS.MATH.CONTENT.5.NBT.A.4 Use place value understanding to round decimals to any place.

CCSS.MATH.CONTENT.5.NF.A.2 Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem.

CCSS.MATH.CONTENT.5.NBT.B.5 Fluently multiply multi-digit whole numbers using the standard algorithm.

CCSS.MATH.CONTENT.5.NBT.B.7 Add, subtract, multiply, and divide decimals to hundredths

CCSS.MATH.CONTENT.5.MD.A.1 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

## Time

Approximately 2.5 hours

## Unit Summary

This cross-curricular unit includes a variety of strategies and examples for solving word problems at a fifth-grade level, including division of three-digit numbers, fractions and decimals.

Buffalo Hunts and Division

This lesson begins with a video on long division (optional) or a presentation on uses of division from the playground to the buffalo hunt. Students then watch a short video working long division problems. Finish with practicing long division in Making Camp Dakota. Short videos on Dakota buffalo hunt traditions and related math lessons are also linked.

Watch out for blood-sucking fishes!

This 40-minute lesson introduces new science vocabulary words, teaches about indigenous and invasive species and includes a couple of math problems showing how quickly invasive species multiply. It concludes with students playing the Making Camp Dakota: Past and Present game. Math word problems require finding half of 500 and 10 x 500.

Using Visual Models To Compare Fractions

Students play 2-3 levels of a game that teaches and assesses adding and comparing fractions with different numerators and denominators, with the context of a story from Ojibwe history. They create their own problems using visual models to compare fractions. Students discuss classmates’ problems. The lesson culminates with a video on visualization as a problem-solving strategy. (35-45 minutes)

Decimals, Epidemics & Fly Vomit – It’s science!

Learn decimals while weighing a flies and the food they eat. The lesson begins with a game on decimals and the Aztec smallpox epidemic, then moves to another disease spreader – flies. Students learn the role flies play in our ecosystem, how they eat and reproduce. (75 minutes)

## Differentiation

For students who are struggling with word problems, assign these videos directly teaching strategies or watch together in class.

# Reflections on Ojibwe Migration

by Janna Jensen and AnnMaria De Mars

## 📖 Standard

CCSS.MATH.CONTENT.5.NF.B.4   Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

CCSS.MATH.CONTENT.6.SP.A.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number.

D2.His.13.3-5  Use information about a historical source, including the maker, date, place of origin, intended audience, and purpose to judge the extent to which the source is useful for studying a particular topic.

60 minutes

## 📃 Summary

This lesson begins with a storyboard on the route and major events of the Ojibwe migration. Students then play the Forgotten Trail game, computing the average number of miles a character walked per day, followed by watching a video on map reading. As a group, students reflect on the challenges of the Ojibwe migration, compute the distance for just one segment and convert the distance from miles to kilometers.

## 📚Lesson

### Storyboard on the Ojibwe Migration

Begin with this story board on the route and major events of the Ojibwe migration. We recommend having students read each section of the story as it advances. Alternatively, the teacher may read it to the class or students can read it to themselves either on devices in the classroom or at home.

### Watch a video on how to find the mean

Warning: bad singing ahead. This short video tells how to find the mean – in song. You may skip this video if you have already used it in a previous lesson.

### Play the Forgotten Trail Game

Students should play the game at least through the first level. The game begins with a middle school class learning about the Ojibwe migration. Students will solve math problems related to the average number of miles walked per day and fraction of distance covered.

### Watch a video on using scales in maps

This video is 7 minutes and covers what is a scale, how to use one and that different maps have different scales. If you feel your students are already familiar with this information, you may skip this video. In the days of Google maps and GPS we have found students often are not as familiar with this information as you might assume.

### Presentation on Reflections on the Ojibwe Migration

In this Google slides presentation, students are asked to reflect on the Ojibwe migration. What would it have taken to survive such a journey? They use their map skills to estimate the distance of one leg of the journey, in both kilometers and miles.

### Synonyms Video

Now that students have seen synonyms as words for the same thing and miles and kilometers as measures for the same distance, finish up with this short (less than 2 minutes) video on synonyms.

## Assessment

Slides 14, 18 and 21 can be printed out for students to answer individually, or can be answered as a group in class. Data are available on activities completed and math problems answered in the Forgotten Trail reports. For more information, check out our reports page.

# Scrambled states: Ag in math

## 📖 Standard

NGSS 4-LS1-1:  Construct an argument that plants and animals have internal and external structures that function to support survival, growth, behavior, and reproduction.

CCSS.MATH.CONTENT.3.MD.B.4 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot,

## ⏰ Time

3-4 hours over 4-5 sessions. The data collection will need to be completed at least two weeks after the seeds are planted.

## 📲 Technology Required

No technology is required. Students may use Jamboard for line plots and Google docs for word journals, but both of these activities can also be done on paper.

## 📃 Summary

Teachers read an age appropriate book about plants and record new vocabulary in their personal dictionary. The teacher or student selects an agriculture activity from the booklet More Scrambled States of Agriculture. Garden in a glove is one recommended activity. Students collect and record data on the number of days until germination, showing the results in one more more line plots.

## 📚 Lesson

It is recommended that this lesson follow the Scrambled States: Ag in Language Arts unit.

Both the lesson plan for Garden in a Glove and More Scrambled States of Agriculture booklet have several recommendations for age appropriate books on plants in general or specific plants, like wheat. Teachers may wish to read the book aloud to the class, have students take turns reading aloud, either in groups or as a whole class, or assign to students to read on their own. I recommend 2-3 sessions of 15 minutes of read aloud or 20 minutes of independent reading.

### Update Word Journals

Students should update their word journals, what some teachers refer to as a “personal dictionary”, with any new words from the book. If this is your students’ first experience using a word journal, you may wish to give them this Google doc to read or read it together as a class, “Creating your personal dictionary.

### Select an Agriculture Activity (1 hour)

Garden in a glove lesson plan, found here, is my favorite and it could relate to almost any book on the list. You need:

• Food prep gloves – 1 for each student – that you can probably get from your school cafeteria,
• A bag of cotton balls
• 5 different packs of seeds
• A marker

Soak the cotton balls in water, put 3-5 seeds in each one and put five cotton balls, each with different seeds, in the five fingers of the glove. Don’t forget to write on each finger what is in it. Create a chart of the germination time for each type of seed. Read the lesson plan for more detail.

If Garden in a Glove doesn’t suit your needs, check More Scrambled States of Agriculture for ideas you might like better.

Ask students to generate hypotheses about how long it will take for the seeds to germinate, whether all the seeds will take the same amount of time (assuming you did Garden in a Glove).

Students create either :

• Create 5 line plot showing the number of seeds that germinated for each number of days, one plot for each type of seed, OR
• Create one line plot with a different color used for each type of seed.

Ask the students whether their hypotheses were supported.

#### OPTIONAL: WATCH THIS VIDEO ON CREATING A LINE PLOT

If your students are not familiar with line plots, you may want to have them watch this seven-minute video which explains line plots step by step.

Now that students have watched the video and collected the data, their final task is to create two line plots of their results. Feel free to copy and paste the text below into your Google classroom or other assignment.

## Assessment

Three forms of assessment are included in this assignment.

• In the personal dictionary or word journal, students are required to include a minimum of five words with definitions for 50 points. Each word, spelled correctly is 2 points and a correct definition is another 8 points. I deduct a point for grammar or spelling errors in the definition, but only one.
• For the agriculture activity, this is simply pass/ fail marked as completed or not.
• The line plots are scored based on accuracy. I give 10 points for each plot/ type of seed for a total of 50 points possible and another 10 points each for stating a hypothesis and answering whether or not it has been supported.