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6: Measurement - Mathematics


6: Measurement - Mathematics

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Powerful Ideas Related to Measurement

From linear measurement to volume and weight, you'll find the references you need to improve your teaching skills and help your students understand the tremendously practical and wide-ranging topic of measurement.

  • Powerful Ideas Related to Measurement
  • The Concept of Measurement
  • Measurement Units as Standards
  • The Use of Formulas in Measurement
  • Estimation in Measurement
  • The Power of the Metric System
  • Linear Measurement Compared with Area Measurement
  • Linear Measurement
  • Measurement of Time
  • Measurement of Volume
  • Measurement of Weight
  • Why Does Measurement Matter?
  • Measurement Activities

6: Measurement - Mathematics

a) estimate and measure weight/mass and describe the results in U.S. Customary and metric units as appropriate and

b) identify equivalent measurements between units within the U.S. Customary system (ounces, pounds, and tons) and between units within the metric system (grams and kilograms).

Computation and Estimation

Probability, Statistics, Patterns, Functions, and Algebra

K compare 2 objects, distinguish between weights using direct comparison or nonstandard units ( heavier, lighter), identify instrument(scale)

1 st compare using more, less, equivalent, using a balance scale, measure weight using non-standard weights

2 nd estimate and measure objects in pounds, ounces, and kilograms, grams using a scale

3 rd estimate and use US customary and metric units to measure weight/mass in ounces, pounds, grams, and kilograms

Understanding the Standard

Essential Understandings

Essential Knowledge and Skills

· Weight and mass are different. Mass is the amount of matter in an object. Weightis determined by the pull of gravity on the mass of an object.The mass of an object remains the same regardless of its location. The weight of an object changes depending on the gravitational pull at its location. In everyday life, most people are actually interested in determining an object’s mass, although they use the term weight (e.g., “How much does it weigh?” versus “What is its mass?”).

· Balances are appropriate measuring devices to measure weight in U.S. Customary units (ounces, pounds) and mass in metric units (grams, kilograms).

· Practical experience measuring the mass of familiar objects helps to establish benchmarks and facilitates the student’s ability to estimate weight/mass.

· Students should estimate the mass/weight of everyday objects (e.g., foods, pencils, book bags, shoes), using appropriate metric or U.S. Customary units.

· Use benchmarks to estimate and measure weight/mass.

· Identify equivalent measures between units within the U.S. Customary and between units within the metric measurements.

Essential Questions:

· How are measurements of weight/mass made?

· How do we determine an appropriate unit of measure to use when measuring weight/mass in Metric units and in U.S. Customary units?

· How can we use benchmarks from real life to estimate weight/mass in Metric units and in U.S. Customary units?

· What are equivalent measures between units of weight/mass within the U.S. Customary system and between units within the Metric system?

· How do customary and Metric units of weight/mass compare?

The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to


MATH CHANGES FROM TEAS V TO ATI TEAS 6

Not much occurred in changes from TEAS V to TEAS 6 except for the addition of two questions, going from 34 to 36 questions and, as a result, an increase in your time allotment from 51 to 54 minutes. Four questions, which are only for survey purposes, will not count toward your score.

On the other hand, the question categories have been trimmed to two – “Measurement and Data” and “Numbers and Algebra” – but don’t let that make you think about slacking off! Let’s delve into these two areas in some detail so you will be ready.


Class work assessed by the teacher in response to the outcomes in the table, or assessed by an externally set assignment.

In successfully completing this component, students will have demonstrated the ability to:

Entry 1

1.1 Compare lengths, heights, weights and capacities

Key words are long, longer, short, shorter, tall, taller, heavy, heavier, light, lighter, more, less, most, least

1.2 Give the length of a line drawn on a centimetre grid

1.3 Describe capacity in fractions

Key words are empty, half full, full

Tick the jug that is more than half full

Entry 2

Notes/examples

GCSE reference

2.1 Choose appropriate standard units of length, capacity and weight

Which unit would be the best to measure the length of a football pitch?

2.2 Compare and order lengths, capacities and weights in the same units

2.3 Select a possible length, capacity or weight for a given item

2.4 Measure or draw a length using a ruler

In whole mm or whole and half cm

2.5 Estimate the weight, capacity or length of given items

Given two items, tick the heavier item

Estimate the weight of a bag of crisps

Entry 3

Notes/examples

GCSE reference

3.1 Add lengths, capacities and weights and compare the total to another total or a requirement

3.2 Convert standard units of length, capacity and weight

Change 410 cm into cm and mm

3.3 Compare and order lengths, capacities and weights in different standard units

Which is longest, 4.2 m, 395 cm or 4050 mm?

3.4 Measure the perimeter of a simple shape

3.5 Choose an appropriate measuring instrument

3.6 Read values from an appropriate scale

3.7 Read and compare temperature including temperature with negative values


How to help at home

There are lots of everyday ways you can help your child to understand measurement. Here are just a few ideas.

1. Explore length and height

When you are out and about, point out measurements of length or height in the real world – like width restrictions when driving or height restrictions for fairground rides.

To help your child compare different lengths and heights, you could ask them to choose five objects from around your home and measure their length using a ruler. Ensure that your child uses their ruler correctly, beginning at the zero and measuring the lines accurately.

Then, ask your child to order the objects from longest to shortest. Can they write three sentences to describe the objects using the words longer, longest, shorter, and shortest?

2. Explore mass, capacity, and volume

To practise comparing and ordering mass, why not ask your child to compare food items from the kitchen? Ask your child to explain which item has the greater mass and why. Encourage them to use the less than (<) and greater than (>) symbols to compare. For example:

Compare a 500g bag of pasta and a 375g tin of tomatoes.

500g > 375g and 375g < 500g

You could ask your child to find a few more items and put them in order, from the item with the least mass to the largest mass. For example:

Order a 500g bag of pasta, a 375g tin of tomatoes, a 1000g box of detergent, and a 750g box of cereal.

375g < 500g < 750g < 1000g

Discuss whether items are measured in grams or kilograms. If possible, encourage your child to use different types of weighing scales, including balance scales and digital scales.

Your child could also compare objects with different capacities. Take a selection of empty containers and ask your child to guess which container holds the most. Then, they can test their guess by seeing how many cups filled with water it takes to fill each container. Encourage your child to discuss and record their findings. See if they can use terms like capacity or volume when you are talking.

Activity: Measuring mass

Record the mass of household items.

3. Bake together

You could try following a recipe with your child. Help them weigh the ingredients using digital or balance scales (whatever you have at home). Can they tell you the mass of the ingredients in kilograms and grams?

For baking inspiration, take a look at our free recipes.

4. Try money activities

To help your child get used to the value of coins and notes, let them use money when you are shopping. Be sure to point out prices in the supermarket and to talk about the coins and notes we use.

To get your child used to the value of coins, you could ask them to investigate all the different ways to make £1. Or, if they are collecting coins in a piggy bank, ask them to find the total amount of money they have inside. Help them by sorting coins into smaller groups and then adding those groups together to find the total.

You could also help your child to practise calculating with money by telling them that they have £2 to spend and asking them to work out what they could buy. This shows your child the real-world impact of their maths skills!

Activity: Counting coins

Cut out the coins and practise money skills.

5. Get to grips with time

Your child could use their knowledge of fractions to tell the time on an analogue clock to the hour, at half past, at quarter past, and at quarter to the hour. Encourage them to tell the time at different points during the day, including to the nearest 5 minutes.

It is important your child knows how to compare and record time in terms of seconds, minutes, and hours using vocabulary like o’clock, am/pm, morning, afternoon, noon, and midnight.

Try to talk to your child about how different units of time relate to each other. For example, they should know that there are 60 seconds in a minute and that there are 24 hours in a day. You could ask your child to work out problems such as finding out how many seconds there are in three minutes.

6. Make a clock together

Making a clock with your child will help them get to know the features of an analogue clock – for example, the long hand is the minute hand and the short hand is the hour hand. You could add words to the clock to support your child, such as quarter past, half past, and quarter to.

Your child may well be more keen to practise telling the time using a clock they have made themselves! Take a look at the activity sheet below to find out how to make a paper clock.


Number the objects from shortest to longest with numbers 1, 2 and 3. Record your answers on the recording sheet.


What you will need?

Children can measure and compare the lengths of several different items. I have changed our items when using our printable measurement mats to keep the interest and provide a variety of different tools. You can use different length tools such as straws, wool (yarn), leaves or string. Another idea is to make a basket of mixed up items that are not the same for children to compare and order from shortest to tallest. The ideas are endless!

The Measurement Mats come in a set of 8 pages. 4 pages measure from shortest to tallest and the other 4 pages measure tallest to shortest. The mats are a mix of multi-cultural children, with 2 boys and 2 girls. The Measurement Mats clearly shows a starting point for measuring the different tools.


MEASUREMENT

Description: Sal’s Sub Shop is a great way for kids to practice their metric and standard measurement skills with fractions. The object of the game is to fulfill customer orders by cutting the sub to their exact specifications. For example, a customer might order a sub that is 8 and 5/8 inches long or 15 and 1/5 centimeters long. If students can manage to fulfill eight customer orders, they win the game.

Horrendous Soup - Online Game

Description: Horrendous Soup is a fun game in which students have to make a recipe for the most disgusting soup they can imagine. Students progress through the game by adding ingredients to the soup. Some of the ingredients are measured in capacity, some are measured in mass, and some are measured in distance (for example, the recipe might call for a certain amount of millimeters of toothpaste or tree branch). Given this is a bit far-fetched, but still a perfect way to reinforce metric conversion skills. To successfully print out the recipe, students must demonstrate the ability to convert the amounts of ingredients to other metric units. For example, liters to milliliters and vice versa, grams to milligrams and vice versa, and millimeters to centimeters to meters. See demonstration video for more information.

Artie Ounces Soda Jerk - Online Game

Description: This is a great game to practice using standard units of capacity.

Slope Man - Using Slope to Climb Tall Peaks

Description: Welcome, Slope Man. You are one of the world's most adventurous mountain climbers. Your job is to climb ten of the world's tallest peaks by calculating the slope at different points in your climbs. Climb Mt. Fuji, Mauna Loa, Mont Blanc, and even Mt. Everest and others, but be careful --- wrong calculations will result in icy disasters.

Description: This fun and challenging game requires students to help movers do their job by calculating the areas or surface areas of the "packages." Formulas and calculator provided. Students can choose to exclude surface area or area.

Measurement Workshop - Online

Description: Measurement Workshop is a great program for learners of all grade levels. In the "build" mode, users build cities out of metric or imperial (standard) rulers which can be resized, colored, and dragged around the stage to form a ruler city. In this mode, users can compare the relationship between inches and centimeters. In the "play mode" the city is randomly formed by the program and users must determine each building’s length in inches or centimeters. Users can choose from four different measurement skill levels: Whole Numbers (where "buildings" measure in inches or centimeters to whole numbers), whole numbers and halves (where "buildings" measure in inches or centimeters to whole numbers or whole numbers and halves, decimals (where "buildings" measure in inches or centimeters to decimals) and fractions (where "buildings" measure in inches or centimeters to fractions.)

CC Standards: 2.MD.A.1, 2.MD.A.2, 2.MD.A.3, 2.MD.A.4

Computation Castle - Online Game

Description: Computation Castle is a fun game that requires students to use their fractions, measurement, place value, and exponents skills to reverse a spell placed that caused the royal family to be turned into various animals.

Description: This unique online game requires students to make the best possible omelet and to impress the omelet judge. Very challenging

Zoo Designer - Online Game!

Description: Welcome to ZooDesigner. You have been hired to design five enclosures for the animals at a local zoo. You have to use your knowledge of how to calculate area and perimeter to design the correct enclosures and to earn your ZooDesigner Points. Use the blueprint area to sketch out the dimensions (area, perimeter, or area and perimeter) of the enclosure. If you design the enclosures incorrectly, the animals will escape and the zoo visitors will run for their lives. You, of course, will be fired!

Description: This activity requires students to read temperatures on thermometers.

Format: Printable Activity

Reading a Thermometer - Online

Description: This activity requires students to read temperatures on thermometers. It gives immediate feedback.

Description: This activity requires students to read a standard ruler.

Format: Printable Activity

Use as Assessment on Google Classroom.

Description: This activity requires students to read a metric ruler.

Format: Printable Activity

Using a Ruler to Measure Standard Units to the Inch and Half-inch - Online

Description: This activity requires students to use a standard ruler. It gives immediate feedback.

Using a Ruler to Measure Metric Units to the Centimeter and Half-Centimeter - Online

Description: This activity requires students to use a metric ruler. It gives immediate feedback.

Comparing Inches and Centimeters Using Both Rulers

Description: This activity requires students to read a metric ruler.

Format: Printable Activity

Appropriate Metric Units - Online

Description: This activity requires students to determine the appropriate metric unit of measurement. It gives immediate feedback.

Choosing Appropriate Standard Units

Description: This activity requires students to choose the appropriate standard unit of length for items such as pencils, football fields, fireflies, and more.

Format: Printable Activity

Converting Metric Units of Capacity - Online

Description: This activity requires students to convert metric units of capacity between units (such as L - ML).

Estimating Line Lengths - Online

Description: This activity requires students to estimate the lengths of line sin centimeters. It gives immediate feedback.

Word Problems Using Metric Lengths

Description: This activity requires students to read a metric ruler.

Format: Printable Activity

Word Problems using Metric Units of Length - Online

Description: This activity requires students to solve word problems with metric units of length.

Area of a Rectangle - Online

Description: This activity requires students to determine the area of rectangles. It gives immediate feedback.

Description: This activity requires students to determine the area units. It gives immediate feedback.

Area of Complex Figures - Online

Description: This activity requires students to determine the area of complex figures. It gives immediate feedback.

Area of a Triangle - Online

Description: This activity requires students to determine the area of triangles. It gives immediate feedback.

Perimeter of a Rectangle- Online

Description: This activity requires students to determine the perimeters of triangles. It gives immediate feedback.

Find the Missing Perimeter Measure in Rectangles - Online

Description: This activity requires students to determine the value of the missing side of a rectangle.

Area and Perimeter of a Rectangle- Online

Description: This activity requires students to find the area and perimeter of rectangles. It gives immediate feedback.

Sal's Sub Shop - Practice with a Metric Ruler

Description: This printable worksheet will get students ready to play Sal's Sub Shop. It reinforces fractional measurement with a metric ruler.

Format: Printable Activity

Sal's Sub Shop - Online Practice - Fractional Measurements with a Standard Ruler

Description: This online activity will help students get used to playing Sal's Sub Shop. It reinforces fractional measurements with a metric ruler.

Sal's Sub Shop - Online Practice - Fractional Measurements with a Standard Ruler - Version 2

Description: This online activity will help students get used to playing Sal's Sub Shop. It reinforces fractional measurements with a metric ruler.

Sal's Sub Shop - Online Practice - Fractional Measurements with a Metric Ruler

Description: This online activity will help students get used to playing Sal's Sub Shop. It reinforces fractional measurements with a metric ruler.

Sal's Sub Shop - Online Practice - Fractional Measurements with a Metric Ruler - Version 2

Description: This online activity will help students get used to playing Sal's Sub Shop. It reinforces fractional measurements with a metric ruler.

Sal's Sub Shop - Practice with a Standard Ruler

Description: This printable worksheet will get students ready to play Sal's Sub Shop. It reinforces fractional measurement with a standard ruler.

Format: Printable Activity

Horrendous Soup Practice Worksheet

Description: This practice worksheet will get students ready to play Horrendous Soup. It requires students to convert grams to milligrams and liters to milliliters.

Format: Printable Activity

Horrendous Soup Practice Worksheet Version 2

Description: This activity will get students ready to play Horrendous Soup. It requires students to perform metric conversions of mass and volume.

Format: Printable Activity

Computation Castle Demonstration Video

Description: This video will show you how to play Computation Castle.

Horrendous Soup Practice Worksheet Version 3

Description: This printable activity will get students prepared to play Horrendous Soup. It requires them to make metric conversions of mass and volume.


Watch the video: Μετατροπές Βάρους Μάζα - Δ - Ε - ΣΤ τάξη (October 2021).