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Master Decimal Estimation: Techniques for Quick Approximation

CA.3.MD.5

Area - unit squares and pattern blocks

Area by Unit Squares

Square measure

Converting Square Units

Calculate the Square Area

CA.3.MD.6

Calculating and Estimating Area and Perimeter

CA.3.MD.8

Perimeter: Grid squares and polygons

Perimeter of Polygons

Perimeter Equation of Polygons

CA.3.NBT.1

Estimating decimals

Rounding Decimals

Place Value Tables of Multi-Digits

Place Value Tables — Multi-Digit

Identifying the Place Value of a Digit

Place Value of a Digit — Multi-Digits

Expanded Form of Multi-Digits

Place Values in Expanded Form — Up to 10K

Place Values in Expanded Form — Up to 999

Converting Between Place Values of Multi-Digits

Conversions To and From — Up to 9999

Reading and Writing Digits

Reading and Writing Digits — Up to 20

Reading and Writing Digits — Up to 99

Comparing Values of Multi-Digits

Place Value Comparing Numbers — Up to 999

Regrouping Place Values of Multi-Digits

Place Values Regrouping — Up to 999

CA.3.NBT.2

Adding with Digits Up to 1000

Add By Digits — Up to 1000

Simplifying Addition by Separating

Addition by Separation — Up to 1000

Addition by Separation — Up to 999

Addition with Regrouping Up to 1000

Add By Regrouping — Up to 1000

Addition Tables Up to 1000

Add By Number Table — Up to 1000

Subtracting with Digits Up to 1000

Subtract By Digits — Up to 1000

Subtraction with Regrouping Up to 1000

Subtract with Regrouping — Up to 1000

CA.3.NF.3

Equivalent fractions

Equivalent Fractions

CA.3.OA.1

Multiplying Digits with 5 and 10 Up to 999

Multiplication by Five or Ten — Up to 100

Multiplying Digits with 0 and 1 Up to 999

Multiplication by One or Zero — Up to 999

Using Models to Multiply Up to 999

Multiplication by Models — Up to 3 Digits

Multiplying using Mental Strategies

Split into Smaller Calculations Strategy — Up to 999

Repeated Addition As Multiplication Up to 999

Multiplication by Repeated Addition — Up to 999

CA.3.OA.2

Sharing & Grouping Up to 999

Sharing and Partitioning — Up to 3 Digits

Dividing with Arrays

Dividing with Arrays — Up to 100

Remainders from Division Up to 999

Sharing and Remainders — Up to 3 Digits

Dividing with Digits Up to 999

Division By Digits — Up to 3 Digits

Understanding the Division Sign Up to 999

Division Language — Divided By

Division Language — Sharing

CA.3.OA.3

Multiplication Word Problems Up to 999

multiplication word problems up to 999

Division Word Problems Up to 999

Division Word Problems — Up to 3 Digits

CA.3.OA.4

Identifying the Missing Digits (Addition)

Fill in the Blank — Up to 1000

Identifying the Missing Digits (Subtraction)

Multiplication Tables Up to 999

Multiplication Tables — Up to 100

Multiplication Tables — Up to 200

Division Tables Up to 999

Division Tables — Up to 100

Division Tables — Up to 200

CA.3.OA.5

Square Numbers

Square numbers — Up to 100

Relating Multiplication with Division Up to 999

Relating Multiplication with Division

CA.3.OA.6

Relating Addition with Division

CA.3.OA.7

Times Tables

Multiplication Times Table — Up to 2 Digits

Multiplying with Digits Up to 999

Multiplication by Digits — Up to 3 Digits

CA.3.OA.8

auto-gen

Applications of the four operations (BEDMAS without exponents)

Combining Multiplication and Addition

Applying BEDMAS Without Exponents

Addition Word Problems Up to 1000

Addition Word Problems — Up to 1000

Addition Word Problems — Up to 200

Subtraction Word Problems Up to 1000

Subtraction Word Problems — Up to 1000

Multiplying with 3 Numbers Or More

Multiplication of Three or More Numbers

3rd Grade Math

math

Intro

In this lesson, we will learn:
<ul type = "disc">
<li>How to use number lines to help estimate decimal values (to the closest whole number or closest tenth)</li>
<li>How to round decimal numbers to the nearest whole number, or the nearest tenth</li>
</ul>

 Notes: 
<ul type = "disc">
<li>To estimate means to roughly guess the value (or a rough calculation)</li>
<ul type = "circle">
<li>For estimating decimals, have less decimal place values in your number </li> 
<li>Rounding is one strategy for estimation; by making numbers less exact (less precise), they become simpler or easier to do math with </li> 
</ul>
<li>We use the symbol \(\approx\) meaning "about equal to" for estimation and rounding </li> 
<ul type = "circle">
<li>Ex. 39 is about equal to the even number 40; 39 \(\approx\) 40 </li> 
</ul>
 
<li>We can use number lines to help estimate decimal values </li>
<ul type = "circle">
<li>Find the closest distance to the nearest whole number OR the nearest tenth </li> 
<li>Ex. rounding 0.3 to the nearest whole number, is it closer to 0 or 1? </li> 
</ul> </ul> 
<center><img src="https://dmn92m25mtw4z.cloudfront.net/img_set/math4-2-5-x-1/v1/math4-2-5-x-1-639w.png" width="600" alt="Estimating decimals"> </center>
<ul type = "square">
<ul type = "square">
<ul type = "square">
<li>0.3 is closer to 0 than it is to 1. Therefore, 0.3 \(\approx\) 0 </li>
</ul></ul></ul>

<ul type = "circle">
<ul type = "circle">
<li>Ex. rounding 0.66 to the nearest tenth, is it closer to 0.6 or 0.7? </li>
</ul></ul>

<center><img src="https://dmn92m25mtw4z.cloudfront.net/img_set/math4-2-5-x-2/v1/math4-2-5-x-2-964w.png" width="600" alt="Estimating decimals"> </center>

<ul type = "square">
<ul type = "square">
<ul type = "square">
<li>0.66 is closer to 7 than it is to 6. Therefore, 0.66 \(\approx\) 0.7 </li>
</ul></ul></ul>

<ul type = "disc">
<li>The steps for rounding numbers: </li>

<ol type="1">
<li>Look at the place value you are rounding to ("target"). 
 \(\quad \, \longrightarrow \; \) start writing a new rounded number, where:
 \(\quad \, \longrightarrow \; \) any smaller place values (to the right) can be changed to zero
 \(\quad \, \longrightarrow \; \) any bigger place values (to the left) can be kept
</li>
<li>Look at the place value to the right of where you are rounding to.
<ol type="a">
<li>if the digit is \(\geq 5\), round up (increase the target by 1) </li>
<li>if the digit is < 5, round down (keep the target the same) </li>
</ol>

 </li>
<li>Any trailing zeroes in decimals can be removed (i.e. 0.50 = 0.5; 2.0 = 2) </li>
</ol>
</ul>

<center><img src="https://dmn92m25mtw4z.cloudfront.net/img_set/math4-2-5-x-3/v1/math4-2-5-x-3-687w.png" width="600" alt="Estimating decimals"> </center>

<ul type = "circle">
<ul type = "circle">
<li>When your target digit is 9, if you round up then you will regroup to the next place value up. </li>
<li>Ex. Rounding 0.97 to nearest tenth \(\, \longrightarrow \, \) round up from 0.9 to 1.0; 0.97 \(\approx\) 1.0 </li>
</ul></ul>