Are your students reluctant to learn multiplication? Do you find that your students are struggling to understand the basics? I’ve watched far too many kids walk through the door of my class…
Want to know how to factor polynomials? If you have had trouble in the past, you've come to the right place. GradeA breaks it down so that it is simple for anyone to understand
Making a 10 to Add is a great math strategy to help students mentally add bigger numbers. It's a skill I picked up somewhere along the way i...
Are your Algebra 2 students struggling with polynomials and polynomial long division? There is a free PDF cheat sheet in this post that can be downloaded, printed and given to students for their notebooks. The sheet can also be enlarged for a math word wall.
Are your Algebra 2 students struggling with polynomials and polynomial long division? There is a free PDF cheat sheet in this post that can be downloaded, printed and given to students for their notebooks. The sheet can also be enlarged for a math word wall.
Odd and Even Investigations eg) Ages of people in your family. Phone number Street number Height etc.. Investigating: Odd and Even....Add some combinations of the facts you found. odd + odd = ? odd + odd + odd = ? etc.. even + even = ? odd + even = ? Can you find any patterns and generalisations? How is this useful? Having fun with Capacity and Mass Students are encouraged to use their own strategies to solve problems: Here are a few ideas: Some Multiplication strategies: LATTICE MULTIPLICATION Grid Multiplication Traditional Multiplication Algorithms Investigation with 'Hundreds and Thousands' (Sprinkles cake toppings). I've always wondered how many 'Hundreds and Thousands' there are in a jar. Here's an investigation to help with Estimation, Place Value, Rounding, Area, Capacity, Multiplicative Thinking, Addition and many other things! Division - Hands On Investigations Ellen substituted the remainders for pieces of paper which she could then divide up into 6 pieces each. She then added the total of the whole amounts as well as the fraction that each would get and recorded the total as 3 and 2/6 each. Fractions Possible strategy: Extension task Investigation with Beads: Roman Numerals For more help with Roman Numerals, go to: http://www.mathsisfun.com/roman-numerals.html#convert PLACE VALUE: FLUENCY OF OPERATIONS: INCREASE YOUR MATHS FLUENCY - CHECK THE 'WEBSITE LINKS' TAB ON THE TOP OF THIS BLOG, OR TRY THIS SITE: CLICK ON THIS LINK... ARCADEMIC SKILL BUILDERS Fun arcade style games to increase skills and fluency NUMBER PATTERNS AND SEQUENCES GAME: CLICK ON THIS LINK TO TAKE YOU TO THE BBC.CO.UK SITE WITH EXCELLENT ACTIVITIES... HTTP://WWW.BBC.CO.UK/BITESIZE/KS2/MATHS/NUMBER/NUMBER_PATTERNS/PLAY/ Money Worded Problems Problem Solving Fun Measuring angles areas and perimeters. Measuring length and perimeter using string for curved parts. Measuring area using newspaper 1m x 2m. Then finding things around the school that had a similar area. Task: Draw around the body. Measure the height of the person. Measure how many of their footsteps will fit into the height. (Most people found it was about 6 - 7 footsteps) Then add clothing by tracing shape blocks. Measure area and perimeter of various features. Investigating volume, capacity and Mass. Draw, make and measure volume. Count blocks. Try formula l x w x h. Do you get the same result? Capacity: Students used 30 mL cups to estimate how much rice would fit into 3 other containers. Volume: Students measured the water displacement caused by a 1 cubic cm block. They noticed it moved the water level 1 mL. Then they tried to find the volume of other irregular objects by measuring the water displacement. 1mL water is displaced by 1 cm3 i.e.) 250mL displaced water = volume of 250cm3 Students used a variety of scales to compare the mass of different objects. They had to estimate, compare and work out the difference. We discussed the difference between weight and mass. Mass is a measure of how much matter an object has. Weight is a measure of how strongly gravity pulls on that matter. On the moon, your weight would change because gravity is weaker but your mass would stay the same because you are still made up of the same amount of matter. Weight can be measured with spring scales. Metric Conversion. Use this to help: litre, gram, metre = UNIT Children need to realise that if there is no decimal place in a number they can put one at the end e.g.) 3 = 3.0 Then they can convert to other units by moving the decimal place. 5 cm = 50 mm 5 cm = 0.05 m 5 cm = 0.00005km Using Decimals There are a number of ways to express decimals: See if can find more ways to add to this: (For example, 64 hundredths + 8 thousandths.) Always Estimate! Estimate: See if you are close to the place value you get in the answer. Example 1) 5432 x 25 is close to 5000 x 30 = 150,000 Example 2) 3572 x 67 is close to 4000 x 70 = 280,000 Terms to Revise: Factors: 2 x 3 = 6 Factors are numbers you can multiply together to get another number. Multiple: A number can be added to itself many times: Multiples of 5 are: 5,10,15,20, 25 30 etc... Prime: A number that can only be divided by itself and 1 (It only has 2 factors) e.g. 2,3,5,7,11,13,17,19 etc Composite= More that 2 factors. e.g The number 24 is composite: It has (1,24) (2,12) (3,8) and (4,6) as factors. Square = A number multiplied by itself will give a square number. e.g.) 3x3 = 9 (9 is a square number) 4x4=16, 5x5 = 25 Or...Check out this MATHS dictionary link http://www.amathsdictionaryforkids.com/dictionary.html Using factors to help with multiplying larger numbers. Did you know if you find the PRIME factors of a number, you can also work out the answer? eg) Look at 24 x 32 More ideas: WORDED PROBLEM SOLVING These are some worded problems you can try. They may help with preparation for NAPLAN. The answers are below if needed! Page 1 Page 2 - Problem Solving can be challenging to many children - This site is great for practicing different strategies: Click on this text to take you to a website that shows how to use Thinking Blocks 'Hands On' Maths....Make an easy Child's Abacus TIMES TABLES STRATEGIES Who wants to cut down on the number of tables they need to learn? Colour in all the tables you already know on a grid: You probably know these: Anything x 0 = 0 A number x 1 = the same number A number x 10 = the number with a 0 on the end. 5 x pattern (0,5,0,5,0..) If you can double numbers to 20, colour all the 2x tables Look how many you already know!! NOW.... Did you know you can swap the factors around? e.g.) 2 x 5 is the same result as 5 x 2 - This is called the "Commutative" property. Look at the tables you have already coloured. Now colour in all the facts that can be swapped around. (You may see a pattern!) If you do all of the above numbers, you only end up having to learn 21 facts! TRY learning the "Square" facts - These can help you work out others too. 3x3, 4x4, 5x5 etc. (If you draw these in dot groups (arrays) they form a 'square') Another important skill is to learn how to double (and halve) numbers. If you know your 2x tables, then you just double these to get your 4x tables. eg) 7 x4 is the same as 7 x2 x2 (4=2x2) 8x4 is the same as 8 x 2 x 2 etc... If you double it again, you can do your 8 times tables eg) 7 x8 is the same as 7 x2 x2 x2 (8=2x2x2) 9x8 is the same as 9 x 2 x 2 x 2 etc... In other words, if you want to work out 6 x 8, you can work out 6 x 2 = 12, then double it twice 6x2 = 12, 12x2 = 24, 24x2 = 48.... SO 6 x 8 = 48 A similar principle applies to the 3, 6 and 12 times tables. (double 3 is 6, double again is 12) So.... If you want to work out 8 x 12, you can work out 8 x 3 and double it twice. 8 x 3 = 24, 24 x 2 = 48, 48 x 2 = 96.... SO 8 x 12 = 96 There are so many patterns and tricks that can help you. Chanting or singing the tables is one way, but if is more helpful if you understand the patterns in case you forget the song. Happy memorising! CHECK OUT THIS WEBSITE FOR MORE HELP WITH TABLES STRATEGIES: http://www.squidoo.com/times-tables-made-easy Try this easy way to learn your table multiples! If you want to learn more about this and other great Maths tips, visit Right Brain Maths! How to make a string tables multiples helper! Watch the video above, then follow these instructions: If you go clockwise you get multiples of 2. If you go the opposite way you get multiples of 8. If you do the multiples of 3 clockwise, you will get the multiples of 7 anticlockwise. If you do the multiples of 4 clockwise, you will get the multiples of 6 anticlockwise...etc Notice that the 2 numbers equal 10 each time... (2, 8) (3, 7) etc.... The finished product. How to do it.... See how it can be used here: http://www.youtube.com/watch?v=tWaVvL3ygpI More ideas: Here are some Triangle facts for helping you with your 3 x and 6 x tables! This chart points out the relationships between your 3 times and 6 times tables. If you know your 3x tables, you can work out your 6x tables by doubling. There are many relationships that you can see using these triangles. e.g.) The black numbers represent the 3x tables in the triangles. (The red numbers are the 6x tables) Here are some facts from the 3x tables... 3x4=12 12÷4=3 4x3=12 12÷3=4 1/3 of 12 = 4 1/4 of 12 = 3 To see the relationship of 3's to 6's: 4x3=12 4x6=24 5x3=15 5x6=30 Notice how you can double them - because 6 is double 3! Have a look at this! A great website for showing the patterns between 3, 6 and 9 using a Tic Tac Toe grid! Follow this link: 3,6 and 9 times tables patterns! The same ideas with 2,4 and 8 times tables: Fluency Drills - 4 Operations and Strategies This is a sample of some Fluency Drills and the strategies we discuss after completing them. 2012 Australian Mathematics Competition: Certificates for Credits and Distinctions were presented at assembly. 71% of our students received Proficiency or above. Well done! Other Maths Competitions: Maths Mastermind. I put a competition in the fortnightly newsletter. Anyone can enter. Winners are announced at each assembly. Whole school lunchtime Maths activities this year: We have had a Maths Graffiti Wall, where students recorded things they knew about Maths. We had a "Grand Designs" competition where students made large 3D structures out of rolled up newspaper. We had a "Great Race" where students had to race around the school to find objects and describe their location. ESTIMATION & ROUNDING: It is important to use ESTIMATING skills and practice problems based in a real life context. Learning to estimate your result first is important. Then you know if your result is reasonable or not. To estimate, it is useful to round numbers. This saying may help: Find the number, look next door 4 or less, just ignore 5 or more, add one more Chop off the heads of the ones that follow Here is an example: 365 Find the number (3) ............look next door..... (6) 4 or less, just ignore (The number next door.... (6)..... is more than 4.. so this part of the saying doesn't apply) 5 or more, add one more. (So we add one more to our original number ...3 becomes 4) 'Chop off the heads' of the ones that follow (add 0's) So...the rounded number is.......400 In other words, if the number next door is 5 or higher, add one more to the original number If the number is 4 or less, leave the original number as it is. Then make all the others into 0's. Addition Worded Problems....Try these, estimating first: SUBTRACTION: Lots of children get confused when subtracting with lots of zeros. This is just another strategy.... Did you know that you can subtract one at the start and then add it at the end? eg) Work out: 4000 - 236 3999 (Subtract 1 from 4000) - 236 ______ 3763 Now ADD 1 to this result. ______ = 3764 Addition and Subtraction Worded Problems Fractions Worded Problems Fun with shapes. Children experimented with pattern blocks to create designs. They investigated tessellations. Fun with Tangrams Learning about area Data and Graphing Making Pictographs on Excel
Are you looking for a poster that shows the 4 different types of slope? In this post I link a free slope poster to download and add to an algebra word wall. Recently updated slope guy with a color and also black and white version.
Mensuration RS Aggarwal Class 7 Maths Solutions Exercise 20D
Download Class 9 Maths Notes for Polynomials free from Aglasem Docs
The students have to write the corret job according the description - ESL worksheets
Are you looking for a fun hands-on activity for teaching quadratic trinomial factoring? A factoring activity we did in class using cereal is described in this post as well as links to other fun quadratics activities.
I found this Math Reference Sheet many years ago on Ms. Sanchez's class website. Her download is still available. I printed out 25 colored copies and mounted on card stock. On the backside I made a sheet of cut and pasted resources that fit my students' needs like measurement charts, number words, etc. I then laminated the cards. They held up for four years and it is now time to remake them. If this is too old for your class, there are a variety of sheets available on TPT for free that might fit your needs. Link Here are my math tool kits that I will have the children store on their desks. It will become the Math/Science tool kit. I need to come up with a clever name for them. We do not use Everyday Math anymore and will be adopting Go Math. While looking for her website, I stumbled across her Science Sheet that I will also be making for my students. Link
Just finished uploading a new kit on Teachers Pay Teachers. This is all about The Scientific Method! I love Science and am so excited that I will get to teach it to THREE different classes this year :) I am teaming with two other first grade teachers so we will all teach our own reading block and then the classes will rotate after lunch between Science/Social Studies and Writing and Math. Here are a few images, but you can see the complete kit in a free preview. Just go here and click on "Download Preview" at the top of the page under the "Add to Cart" button. This kit contains: *6 Full-Size Scientific Method Posters (8.5 x 11) plus a Title Header *6 Half-Size Scientific Method Posters (8.5 x 5.5) plus a Title Header I made these in two sizes so they can fit in large or small spaces in your classroom! *2 Full-Size Scientific Method Map Sheets for students to write about each step in the Scientific Method when conducting an experiment (one with clip-art and one without). *2 Half-Size Scientific Method Map Sheets (one with clip-art and one without) - this half-size is perfect for gluing to the inside cover of a Science Notebook! *A printable student book. Students will color pictures and label each step of The Scientific Method on the corresponding page. On the last page they will draw a line to match the step number with the step name. Please go check it out and let me know what you think! Leave me a comment and I will pick three random people to get a copy of this kit for FREE :)
Here are some fun end of lesson activities and ideas that can be used for the remaining three to five minutes of you class time.
Place of Articulation Quick NavigationPlace of ArticulationBilabialLabio-DentalDentalAlveolarPost-AlveolarPalatalVelarGlottalReviewThe diagram below gives a view of the human mouth with arrows pointing to the places of articulation used in English. In other words, these are the places where the constrictions and obstructions of air occur. On this page, I will do the following for you:Explain each of these place of articulation in […]
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Type I and Type II Errors Since we are accepting some level of error in every study, the possibility that our results are erroneous are directly related to our acceptable level of error. If we set alpha at 0.05 we are saying that we will accept 5% error, which means that if the study were
commands in class - ESL worksheets
Are you looking for a lesson to explan negative exponents to students? This post explains what a negative exponent means and also zero as an exponent.
MENSURATION FORMULAE
This math worksheet teaches how to add two double digit numbers with carrying (e.g. 19 + 22 = 41) in a fun
Free long division strategy
The classroom posters in this post have helped my students throughout our quadratic functions unit from the vocabulary they see to solving word problems to working with the graphing calculator and using the quadratic formula. I wanted to share them for free in this post in case you have any algebra or algebra 2 students who need extra support through their graphing quadratics unit.
Use Post-it Super Sticky Notes to play this awesome and easy math game.
We are now pretty comfortable with our Unit Circle and our six trigonometric functions. Would it shock you if I told you that we are now going to take
I've been going out of my way this year to make my geometry classes more applicable. At the first of the year my kids really struggled, so I've tried to re-invent the way I teach. I'm doing a lot more application and less theory. I'm not saying that's the way it should be done, just that this is what works with my particular group of students. Today we went outside and measured the heights of some of the taller objects around campus. We used homemade clinometers to do this. Since we only had one measuring tape, my co-teacher went outside and pre-measured distances from the building to the point where kids were supposed to measure their angles of elevation. (Note: next time, we'll spray only non-permanent surfaces like gravel. That green 10 ft mark may never come off the sidewalk.) Anyway. The kids loved it. It didn't seem like work. Each class also discovered that their measurements didn't "make sense". They were too short. They decided that they measured from eye level up, so we needed to add on their heights to determine final measurements. This went great. Even my students who usually really struggle enjoyed it. Clinometers and Trigonometry Handout Some Pictures...
Are your Algebra 2 students struggling with the steps to sketch polynomials? In this post are links to activities I use in my Algebra 2 class to teaching and practice sketching polynomials. Also includes links to a few free pdf printables that work well in an Algebra 2 class.
1. Introduction I am quite impressed with Belbin excellence work on classifying the team role. Team role is defined by Belbin as “a tendency to behave, contribute and interrelate with others in a p…
If you’ve followed me for a while, you might already know that I’ve taught just about every factoring method under the sun over the years. Through many trials and errors (along with tea…