https://padlet.com/cakaduk/i2hkois3spyhjzv7 Share ideas about Early Algebra: Generalizing, Representing, Justifying and Reasoning in the Structure of Base 10, Patterns-Relations-Functions, Equivalence and Modeling & variable Strands en-us 2022-11-15 23:07:07 UTC 2023-04-26 15:22:03 UTC hello@padlet.com https://padlet.net/icons/png/1f308.png cakaduk https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2385634963 2022-11-15 23:08:23 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2385634963 cakaduk https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2385638438 2022-11-15 23:14:27 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2385638438 cakaduk https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2388562958 2022-11-17 16:12:14 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2388562958 cakaduk https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2388564620 2022-11-17 16:12:55 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2388564620 cakaduk https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2388565781 2022-11-17 16:13:32 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2388565781 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389039227 We can explore place value relationships by using a Place Value Chart and searching for patterns. ]]> 2022-11-17 22:13:56 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389039227 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389039250 When doing base 10 you can find fractions of a number that are related by halving the number, while doubling the denominator of a fraction. 
GS]]> 2022-11-17 22:13:58 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389039250 tointonar https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389039365 the concept of odd vs even and incorporating open or closed sets

]]> 2022-11-17 22:14:10 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389039365 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389039943 Noticing patterns can be helpful, such as 1/2 of 12 is 6; 1/4 of 12 is 3, and the smaller the fraction gets, also creates a pattern within the asnwer too ]]> 2022-11-17 22:14:54 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389039943 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389040189 Looking for patterns in different place values is helpful. Also it is important to use odd and even number patterns to predict what answers might be.

EL

]]> 2022-11-17 22:15:16 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389040189 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389040492 Base 10 can make fractions easier to understand. ]]> 2022-11-17 22:15:41 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389040492 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389040567 Base 10 can help students to understand place value by interpreting how many 100s,10s,or 1s are in each place of the number.]]> 2022-11-17 22:15:49 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389040567 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389040793 We can explore the concept of place value by using a Place Value Chart and searching for patterns.]]> 2022-11-17 22:16:08 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389040793 smottum01 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389040930 Algorithms can open up for opportunities for generalization. Set of problems relating to each other in a mathematical way, like 12x1/2 and 12x 1/4, are a good way for students to describe patterns and learn the operation.
-SO]]> 2022-11-17 22:16:21 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389040930 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389041175 Base 10 can help young students understand the patterns of fractions and odd and even numbers. 

CC]]> 2022-11-17 22:16:45 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389041175 rgarcia1547 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389041375 The importance to understand the value of a number to understand the base 10, and any patterns. Also noting that the biggest number in the ones is a 9 then moving into another ten or a new ten.
RG ]]> 2022-11-17 22:16:58 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389041375 kmhartzheim https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389042052 Generalizing can be helpful for students when learning new math concepts because it allows them to see the same math concepts in different formats or contexts without staying with the standard set-up students might typically see it in.

KH]]> 2022-11-17 22:17:54 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389042052 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389042162 Base 10 helps students understand the meaning of place value by including visuals.

-K.N.]]> 2022-11-17 22:18:03 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389042162 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389042422 Learning place value can help students make sense of addition subtraction and multiplication. Very important to learn for operations.]]> 2022-11-17 22:18:25 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389042422 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389043078 using patterns is helpful because it allows students to use what they already know to try and find the answer.

]]> 2022-11-17 22:19:11 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389043078 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389043682 We can explore the concept of base 10 values by finding patterns in our equations. Having manipulatives also helps the students visualize the pattern. Coming up with a reason would also help the student find the correct answer. ]]> 2022-11-17 22:20:07 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389043682 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389061953 When teaching algebra using a physical representation will better show a pattern. Students will be able to actually see what they are trying to solve. 
GS]]> 2022-11-17 22:48:28 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389061953 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389061982 I learned that the skills and patterns that we teach students now will help them when they go on to higher grades and learn algebra.

EL]]> 2022-11-17 22:48:29 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389061982 tointonar https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389062044 Being able to show the pattern and explain in multiple different ways (graph, pictures, words, equations)]]> 2022-11-17 22:48:36 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389062044 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389062075 It is helpful to draw tables and drawings to visually see what the pattern looks like. Equations can also be useful when determining an amount that is not given. 

CC]]> 2022-11-17 22:48:39 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389062075 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389062076 Generalizing patterns can look different for different students; it could be an equation or it can be iterating and describing the process that they used in their own words.]]> 2022-11-17 22:48:39 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389062076 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389062446 Using multiples different model and explains will help students most]]> 2022-11-17 22:49:09 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389062446 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389062610 Helping students see and become aware of patterns can help them when doing algebra. ]]> 2022-11-17 22:49:23 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389062610 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389062713 Patterns can be shown in different ways such as using models, tables, words, symbols, graphs, etc.)

-K.N.]]> 2022-11-17 22:49:32 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389062713 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389062823 Pictures and tables can be helpful in showing patterns]]> 2022-11-17 22:49:43 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389062823 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389062904 Patterns can be useful when teaching algebra because they help students show their thinking on why different equations represent the formulas and solutions that they do.]]> 2022-11-17 22:49:51 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389062904 smottum01 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389063031 Students can justify their answer when discussing patterns by explaining their models/ pictures. And what happens at every step.
SO]]> 2022-11-17 22:50:02 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389063031 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389063361 Patters are the sequence of repeating objections, shapes or numbers. Patterns overall have rule that tells us which objects belong to the pattern and which objects do not belong to the pattern.]]> 2022-11-17 22:50:31 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389063361 rgarcia1547 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389063389 When looking at patterns it is important for the student to understand not only the what but also the why and be able to explain their reasonings. We can use many forms to represent this such as graphs, pictures, models, etc. 
RG]]> 2022-11-17 22:50:34 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389063389 khoconnor https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389064688 using patterns helps elementary students by being able to solve problems with using less steps in different ways. This will become more helpful when they get to algebra in highschool.
- KO]]> 2022-11-17 22:52:38 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389064688 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072060 break the habit of run on sentences, it is confusing and not accurate all the time]]> 2022-11-17 23:04:24 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072060 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072170 we can use the place value chart to help TT

]]> 2022-11-17 23:04:34 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072170 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072231 When you are doing work on the whiteboard be careful not to write a run-on number sentence. Sometimes this can cause confusion about what the equal sign really means.
GS]]> 2022-11-17 23:04:40 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072231 tointonar https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072372 using pictures to represent is important for visual learners ]]> 2022-11-17 23:04:55 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072372 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072606 Students can use variables or pictures as a way to represent unknown numbers or unknown solutions to various math problems.]]> 2022-11-17 23:05:18 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072606 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072721 Using pictures to represent variables for the unknown in word problems may help young students understand better. 
Also having the sum on either the left or right side of the equal sign helps check for student understanding. ]]> 2022-11-17 23:05:28 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072721 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072754 variables can be used to represent a unique or unknown quantity or a quantity that varies ]]> 2022-11-17 23:05:32 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072754 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072880 Variables represent an unknown quantity. Using pictures can help students visualize and represent these unknown quantities. 

EL]]> 2022-11-17 23:05:44 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072880 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072922 Using pictures to show students different ways of looking at a problem can be very helpful.]]> 2022-11-17 23:05:46 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072922 smottum01 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072948 The = should be taught as equivalent to help with the foundations of algebra. These skills are more relevant for students as they go past schooling.
SO]]> 2022-11-17 23:05:49 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389072948 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389073161 I learned that equivalence does not always equal a sum. The use of objects can help students understand that there can be different unknown values. 

CC

]]> 2022-11-17 23:06:12 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389073161 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389073270 use different representations like variables and different foundations of algebra.

TT]]> 2022-11-17 23:06:17 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389073270 rgarcia1547 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389073436 It is important for students to use visuals to represent equivalence. It can help students understand quantities known and unknown.
RG]]> 2022-11-17 23:06:33 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389073436 evanstrinity74 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389073545 Using visuals or objects in place of numbers allows students to think or further their thinking process.

-TE]]> 2022-11-17 23:06:42 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389073545 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389073678 Using models and pictures can help students visualize the unknown quantities. ]]> 2022-11-17 23:06:55 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389073678 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389073716 Elementary students often think that seeing an equal sign means that it is true and that they are done, however, having a equal sign does not always mean the statement is true.

-K.N.]]> 2022-11-17 23:06:59 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389073716 jennaellyn01 https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389073881 Patterns help students visualize and solve algebra problems. 

j.b]]> 2022-11-17 23:07:15 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389073881 kmhartzheim https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389073915 After learning the general principles of equivalence, variables can be introduced to represent unknown quantities. These should be introduced with other aids to help the learning process like pictures.

KH]]> 2022-11-17 23:07:18 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2389073915 cakaduk https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2398344821 2022-11-26 01:50:48 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2398344821 cakaduk https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2398344901 2022-11-26 01:51:06 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2398344901 cakaduk https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2398345101 2022-11-26 01:51:48 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2398345101 cakaduk https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2398345232 2022-11-26 01:52:11 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2398345232 cakaduk https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2398345362 2022-11-26 01:52:41 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2398345362 cakaduk https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2398345464 2022-11-26 01:53:02 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2398345464 cakaduk https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2398345618 2022-11-26 01:53:30 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2398345618 cakaduk https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2398345707 2022-11-26 01:53:50 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2398345707 arendtpaige https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2567830246 Having students graph relationships from the real world helps build connections to algebra.]]> 2023-04-25 21:22:38 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2567830246 cakaduk https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2568975210 I learned that mathematical modeling is a great way to ultimately show students how to make real-world connections ]]> 2023-04-26 15:22:03 UTC https://padlet.com/cakaduk/i2hkois3spyhjzv7/wish/2568975210