Fraction

Units

Addition/joining

Subtraction/separating

Measure

length

Distance

In this unit, students will apply their understanding of fractions when plotting the different fractions on a line plot diagram. Students will be measuring and plotting different objects to an eighth of an inch. Students will also be using these different skills to solve problems using the information provided.

Students will build on their understanding of fractions from 3rd grade to make sense of decimals when comparing their equivalency. They are expected to use a variety of models to support their reasoning about numbers.

Line plot diagram

Create a line plot with fractions of a unit (with like denominators)

https://learnzillion.com/student/lessons/3187-create-a-line-plot-with-fractions-of-a-unit-with-like-denominators

o Create a line plot with fractions of a unit (unlike denominators)

https://learnzillion.com/student/lessons/3232-create-a-line-plot-with-fractions-of-a-unit-unlike-denominators

o Solve Problems by interpreting data on a line plot

https://learnzillion.com/student/lessons/3153-solve-problems-by-interpreting-data-on-a-line-plot

o Solve word problems involving the addition of fractions by interpreting data on a line plot

https://learnzillion.com/student/lessons/3188-solve-word-problems-involving-the-addition-of-fractions-by-interpreting-data-on-a-line-plot

o Solve word problems involving the subtraction of fractions by interpreting data on a line plot

https://learnzillion.com/student/lessons/3233-solve-word-problems-involving-the-subtraction-of-fractions-by-interpreting-data-on-a-line-plot

Keep in mind that homework in elementary schools is designed as practice. If your child is having problems, please let the classroom teacher know. When helping your child with his/her math homework, you don’t have to know all the answers! Instead, we encourage you to ask probing questions so your child can work through the challenges independently.

What is the problem you’re working on?

What do the directions say?

What do you already know that can help you solve the problem?

What have you done so far and where are you stuck?

Where can we find help in your notes?

Are there manipulatives, pictures, or models that would help?

Can you explain what you did in class today?

Did your teacher work examples that you could use?

Can you go onto another problem & come back to this one later?

Can you mark this problem so you can ask the teacher for an explanation tomorrow?

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Decimal

Fraction

Units

Equivalent

Measure

Metric

Customary

Convert/conversion

Liquid volume

Mass

Length

Distance

In this unit, students will apply their understanding of measurement to help them convert measurements within a single system: metric or customary for the first time. Units of measure that are introduced for the first time are: cups, pints, quarts, gallons, pounds, ounces, kilometers, millimeters, and seconds. Additional, the students will reinforce their understanding of place value by using their knowledge to convert within the metric system.

Students will build on their understanding of fractions from 3rd grade to make sense of decimals when comparing their equivalency. They are expected to use a variety of models to support their reasoning about numbers.

Conversion table

Quantity diagram

Number line diagram

Compare and convert customary units of length

https://learnzillion.com/student/lessons/2316-compare-and-convert-customary-units-of-length

o Compare and convert customary units of weight

https://learnzillion.com/student/lessons/2317-compare-and-convert-customary-units-of-

weight

o Compare and convert metric units of length

https://learnzillion.com/student/lessons/2571-compare-and-convert-metric-units-of-length

o Compare and convert metric units of weight

https://learnzillion.com/student/lessons/2631-compare-and-convert-metric-units-of-weight

o Compare and convert metric units of volume

https://learnzillion.com/student/lessons/2498-compare-and-convert-metric-units-of-volume

o Solve problems involving distance using diagrams

https://learnzillion.com/student/lessons/2723-solve-problems-involving-distance-using-

diagrams

o Solve problems involving time by drawing a diagram

https://learnzillion.com/student/lessons/2915-solve-problems-involving-time-by-drawing-a-

diagram

o Solve problems involving volume using diagrams

https://learnzillion.com/student/lessons/2916-solve-problems-involving-volume-using-

diagrams

o Solve problems involving mass using diagrams

https://learnzillion.com/student/lessons/2917-solve-problems-involving-mass-using-diagrams

Keep in mind that homework in elementary schools is designed as practice. If your child is having problems, please let the classroom teacher know. When helping your child with his/her math homework, you don’t have to know all the answers! Instead, we encourage you to ask probing questions so your child can work through the challenges independently.

What is the problem you’re working on?

What do the directions say?

What do you already know that can help you solve the problem?

What have you done so far and where are you stuck?

Where can we find help in your notes?

Are there manipulatives, pictures, or models that would help?

Can you explain what you did in class today?

Did your teacher work examples that you could use?

Can you go onto another problem & come back to this one later?

Can you mark this problem so you can ask the teacher for an explanation tomorrow?]]>

Decimal

Fraction

Unit fraction

Equivalent

Partition

Reason

Denominator

Numerator

Decomposing

In this unit, students will apply their understanding of fractions to help them understand decimal equivalence. Decimals are introduced for the first time in 4th grade. Students will make connections between fractions with the denominators of 10 and 100 within the place value chart. Students will use reading decimals aloud to help them understand the fractional equivalence as well. In addition, students will use their reasoning skills to compare decimals from the same whole.

Students will build on their understanding of fractions from 3rd grade to make sense of decimals when comparing their equivalency. They are expected to use a variety of models to support their reasoning about numbers.

Fraction bars and circles

Place value chart

Number line

Grid models

Ruler/meter stick

https://learnzillion.com/student/lessons/1424-convert-decimals-to-fractions-to-the-tenths-place-using-number-lines

https://learnzillion.com/student/lessons/1425-convert-decimals-to-fractions-to-the-hundredths-place-using-visual-aids

https://learnzillion.com/student/lessons/1426-convert-fractions-to-decimals-to-the-tenths-place-using-visual-aids-and-division

https://learnzillion.com/student/lessons/1427-convert-fractions-to-decimals-to-the-hundredths-place-using-division

https://learnzillion.com/student/lessons/3217-compare-two-decimals-to-the-hundredths-place-using-fraction-models

https://learnzillion.com/student/lessons/3158-compare-two-decimal-dollar-amounts-using-coin-values

https://learnzillion.com/student/lessons/3354-compare-two-decimals-to-the-hundredths-place-using-a-number-line

https://learnzillion.com/student/lessons/3385-compare-two-decimal-lengths-using-a-ruler

Keep in mind that homework in elementary schools is designed as practice. If your child is having problems, please let the classroom teacher know. When helping your child with his/her math homework, you don’t have to know all the answers! Instead, we encourage you to ask probing questions so your child can work through the challenges independently.

What is the problem you’re working on?

What do the directions say?

What do you already know that can help you solve the problem?

What have you done so far and where are you stuck?

Where can we find help in your notes?

Are there manipulatives, pictures, or models that would help?

Can you explain what you did in class today?

Did your teacher work examples that you could use?

Can you go onto another problem & come back to this one later?

Can you mark this problem so you can ask the teacher for an explanation tomorrow?

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4th_grade_math_at_a_glance_for_parents.pdf |

a. Understand addition and subtraction of fractions joining and separating parts referring to the same

b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g. by using a visual fraction

c. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and relationship between addition and subtraction.

Operations

Addition/joining

Subtraction/separating

Fraction

Unit fraction

Equivalent

Partition

Reason

Denominator

Numerator

Decomposing

Mixed number

Multiple/multiply

In this unit, students will develop understanding of fraction equivalence and operations with fractions. Students will recognize that two different fractions can be equal (e.g. 15/9 = 5/3), and they will need to develop methods for generating and recognizing equivalent fractions. Students will apply their knowledge of fractions by joining unit fractions (e.g. 1/3, 1/2, 1/4) and separating larger fraction back into unit fractions. Mixed numbers will be introduced for the first time in 4th grade. Students will learn how to turn mixed numbers into improper fractions using fraction models/drawings. *There is NO mathematical reason why fractions must be written in simplified form, although it may be convenient to do so in some cases.

Students will build on their understanding of fractions from 3rd grade to make sense of larger fractions when adding, subtracting and equivalence. They are expected to use a variety of models to support their reasoning about numbers.

Fraction bars

Number Line

Video support can be found on The WCPSS Academics YouTube Channel.

http://tinyurl.com/WCPSSAcademicsYouTube

o Recognize equivalent fractions using number lines

https://learnzillion.com/student/lessons/617

o Generate equivalent fractions using number lines

https://learnzillion.com/student/lessons/619-generate-equivalent-fractions-using-number-lines

o Create equivalent fractions using a number line

https://learnzillion.com/student/lessons/1245

Keep in mind that homework in elementary schools is designed as practice. If your child is having problems, please let the classroom teacher know. When helping your child with his/her math homework, you don’t have to know all the answers! Instead, we encourage you to ask probing questions so your child can work through the challenges independently.

What is the problem you’re working on?

What do the directions say?

What do you already know that can help you solve the problem?

What have you done so far and where are you stuck?

Where can we find help in your notes?

Are there manipulatives, pictures, or models that would help?

Can you explain what you did in class today?

Did your teacher work examples that you could use?

Can you go onto another problem & come back to this one later?

Can you mark this problem so you can ask the teacher for an explanation tomorrow?]]>

It’s backwards day

And everything is turned around

It’s backwards day

Front is back

And back is front

And down is up

And up is down

On backwards day

When I got to school this morning

Something didn’t seem right

Instead of sunshine

It was dark as night

And then I noticed that the kids were teachers

And the teachers were kids

And the principal was in trouble

I don’t know what he did!

CHORUS:

It’s backwards day

And everything is turned around

It’s backwards day

Front is back

And back is front

And down is up

And up is down

On backwards day

It was so hot outside

Then it started snowing

It was the middle of a hurricane

`But no wind was blowing

When we read our books

All the hard words were a piece of cake

And I noticed for breakfast

I had a big, juicy steak

CHORUS:

It’s backwards day

And everything is turned around

It’s backwards day

Front is back

And back is front

And down is up

And up is down

On backwards day

Walking down the hallway

Something seemed weird

All the kids had their clothes on backwards

And they grew long beards

Instead of going in the front door

We went to the back

All of the boards, instead of white

Now they were black

On backwards day

CHORUS:

It’s backwards day

And everything is turned around

It’s backwards day

Front is back

And back is front

And down is up

And up is down

On backwards day

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multiplication/multiply

area

array

square unit

product

perimeter

length

width

In this unit, students will apply their understanding of area and perimeter of rectangles from 3rd grade to help them explore the understanding of the abstract formula A = l x w. In addition, students will generate and discuss the different pros and cons for the formulas for perimeter such as: P = 2l + 2w and P = 2(l + w). The first formula has an additional step compared to the second formula with multiplying the length by two, multiplying the width by two and then adding both together. The second formula has the length and width added together and then multiplying it by two. *Apply understanding to formula does not mean write down a memorized formula and put in known values. Students do not need to do this until 6th grade.

Students will build on their understanding of area and perimeter to make sense of the standard algorithms. They are expected to use a variety of models to support their reasoning about numbers.

Rectangular Section/Arrays

Base Ten blocks

Area Model

o Use area models to find the area of rectangles

https://learnzillion.com/student/lessons/2374-use-area-models-to-find-the-area-of-rectangles

o Find the area of a rectangle using the standard formula

https://learnzillion.com/student/lessons/2535-find-the-area-of-a-rectangle-using-the-standard-formula

o Find missing side lengths using the formula for area

https://learnzillion.com/student/lessons/2425-find-missing-side-lengths-using-the-formula-for-area

o Find the perimeter of a rectangle using area model

https://learnzillion.com/student/lessons/2942-find-the-perimeter-of-a-rectangle-using-an-area-model

o Find perimeter using the standard formula

https://learnzillion.com/student/lessons/3047-find-perimeter-using-the-standard-formula

o Find missing side lengths using the formula for perimeter

https://learnzillion.com/student/lessons/3048-find-missing-side-lengths-using-the-formula-for-perimeter

Keep in mind that homework in elementary schools is designed as practice. If your child is having problems, please let the classroom teacher know. When helping your child with his/her math homework, you don’t have to know all the answers! Instead, we encourage you to ask probing questions so your child can work through the challenges independently.

What is the problem you’re working on?

What do the directions say?

What do you already know that can help you solve the problem?

What have you done so far and where are you stuck?

Where can we find help in your notes?

Are there manipulatives, pictures, or models that would help?

Can you explain what you did in class today?

Did your teacher work examples that you could use?

Can you go onto another problem & come back to this one later

Can you mark this problem so you can ask the teacher for an explanation tomorrow?

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